Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."
What is Douglas McGregor?In his well-known "Theory X and Theory Y," Douglas McGregor distinguished between these two approaches' underlying assumptions about human motivation as follows: According to Theory X, employees must be forced, managed, and persuaded to work toward organizational objectives since they detest it.
Additionally, the majority of people prefer to be treated in this manner so they can evade accountability.
Theory Y, or the integration of aims, highlights the typical person's innate interest in his work, desire to be self-directing and seek responsibility, and the ability for originality in problem-solving for organizations.
Therefore, Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."
Know more about Douglas McGregor here:
https://brainly.com/question/14598571
#SPJ4
What does line segment AB represent?
Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.
Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.
Learn more about line segment here
brainly.com/question/30072605
#SPJ4
A plant nursery only grew one type of tomato. All of their tomatoes died from the same disease. What was most likely true of the tomato plant population?.
The tomato plant population was likely homogenous, meaning that all the plants were genetically identical and therefore more susceptible to the same disease.
1. A plant nursery only grew one type of tomato.
2. All of their tomatoes died from the same disease.
3. Therefore, the tomato plant population was likely homogenous, meaning that all the plants were genetically identical and therefore more susceptible to the same disease.
The plant nursery only grew one type of tomato and all of the tomatoes died from the same disease. This suggests that the tomato plant population was likely homogenous, meaning that all of the plants were genetically identical. This homogeneity made them more susceptible to the same disease, as all of the plants would have been affected by the same pathogens and environmental conditions. Furthermore, the same genetic makeup of the tomato plants would have made them unable to resist the disease. This lack of genetic variation within the population likely led to the death of all of the tomatoes.
Learn more about population here
https://brainly.com/question/19538277
#SPJ4
The most likely true statement to represent the population of the tomato plantation died with the same disease is given by option d. they had very little variation in the tomato plants genes.
As given in the question,
Type of tomato plants grew by a plant nursery = one or same type
Given condition of the plant infected by the disease is :
All the tomatoes plant planted by nursery died that is also from same disease.
Explanation of all options:
a. If they had resistance to disease many of the plants could survive.
False statement.
b. Few of the tomato plant resistant to the disease then few of the plants among the given plants may survive for few days.
False statement.
c. Variation is very high in their genes then plants will not infected by the same disease at the same time.
False statement.
d. Little variation in the genes of the plants.
Due to little variation all the plants get infected by the same disease and died.
True statement.
Therefore, the most likely true statement for the tomato plantation disease is given by option d. the tomato plants had little variation in their genes.
The above question is incomplete , the complete question is :
A plant nursery only grew one type of tomato plant. All of their tomato plants died from the same disease. What was most likely true of the tomato plant population?
a) They had a lot of resistance to disease.
b) They had a few plants that were resistant to the disease.
c) They had too much variation in their genes.
d) They had little variation in their genes.
Learn more about disease here
brainly.com/question/3895081
#SPJ4
5. When there is a snow day at Russel's school, one person will contact 4 people and each of
people will contact 4 other people, and so on. How many people will be contacted in the fifth
round?
The number of people who will be contacted in the fifth round is 4^5, or 1024.
What is arithmetic calculation?
Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. The basic operations of math are addition, subtraction, multiplication, and division. These operations are denoted by the given symbols.
If one person contacts four people in the first round, and each of those people contacts four more people in the second round,
then the total number of people contacted in the second round is 4 * 4 = 16.
In the third round, each of those 16 people would contact 4 more people each, for a total of 16 * 4 = 64 people contacted.
In the fourth round, each of those 64 people would contact 4 more people each, for a total of 64 * 4 = 256 people contacted.
In the fifth round, each of those 256 people would contact 4 more people each, for a total of 256 * 4 = 1024 people contacted.
Hence, The number of people who will be contacted in the fifth round is 4^5, or 1024.
To learn more about arithmetic calculation visit,
https://brainly.com/question/13181427
#SPJ1
Which of the following equations are true? Select all that apply. A. 24 . 8 ÷ 10 2 = 0 . 248 B. 34 . 65 ÷ 1 , 000 = 0 . 3465 C. 193 . 5 ÷ 10 0 = 193 . 5 D. 6 . 24 ÷ 10 = 62 . 4 E. 160 . 4 ÷ 10 2 = 0 . 1604
The only equations that are true using basic mathematical operations are; Options A and C
How to solve basic mathematical expressions?Option A: 24.8 ÷ 10² = 0.248
The left hand side can be simplified to 24.8/100 = 0.248
This is equivalent to the right hand side and is true.
Option B: 34.65 ÷ 1,000 = 0.3465
The left hand side can be simplified to 34.65/1,000 = 0.03465
This is not equivalent to the right hand side and is not true.
Option C: 193.5 ÷ 10⁰ = 193 . 5
The left hand side can be simplified to 193.5/10⁰ = 193.5
This is equivalent to the right hand side and is true.
Option D: 6.24 ÷ 10 = 62 . 4
The left hand side can be simplified to 6.24/10 = 0.624
This is not equivalent to the right hand side and is not true.
Read more about basic mathematical expressions at; https://brainly.com/question/723406
#SPJ1
The fourth-grade students are going on a field trip to the science museum. There are 4 classes with 23 students and 3 adults in each class. They will take 5 buses with an equal number of people on each bus. How many people will be on each bus
Almost 21 people are on each bus.
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
There are 4 classes with 23 students and 3 adults in each class.
i.e. total student in each class= (23+3)=26
So, total student = 26*4= 104
They will take 5 buses with an equal number of people on each bus.
Then, each bus will have people = 104/5
≈21
To learn more on division click:
brainly.com/question/21416852
#SPJ1
What is the slope of a line perpendicular to the line whose equation is 3x−6y=903x−6y=90. Fully simplify your answer.
The slope of a line perpendicular to the line with an equation of 3x − 6y = 90 is -2.
What is the slope of a line perpendicular to the line whose equation is 3x − 6y = 90?The slope - intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation in the question;
3x − 6y = 90
First, rewrite in slope intercept form.
3x − 6y = 90
-6y = -3x + 90
6y = 3x - 90
y = (3/6)x - 90/60
y = (1/2)x - 15
Using the slope intercept, slope m is 1/2
Now, the equation of a perpendicular line to y = (1/2)x - 15 must have a slope that is the negative reciprocal of the original slope.
Hence,
Slope of perpendicular line = -1 / ( 1/2 )
Slope of perpendicular line = -2
Therefore, the slope of the perpendicular line is -2.
Learn more about equation of line here: brainly.com/question/2564656
#SPJ1
What is the ratio from the big to the small circle
help me please!!
The carpet remnant was 4 1/8 square units. If the remnant was 3/4 units wide, what was its length?
Answer:
5 1/2 units
Step-by-step explanation:
area = 4 1/8 units²
width = =3/4 units
Assume shape is rectangle.
area = length × width
length = area/width
length = 4 1/8 units² ÷ 3/4 units
length = 33/8 units² × 4/3 units
length = 33/2 units² × 1/3 units
length = 33/6 units
length = 11/5 units
length = 5 1/2 units
I shouldn't have watched that horror movie last night on TV. It gave me the strangest nightmare. I dreamed I was trapped on a planet of giant insects with Mega-Flies as big as elephants. I thought it was weird that the female Mega-Flies had 8 legs and the male Mega-Flies only had 3 legs. In my dream I was caught in the web of a Mega-Spider who would not let me go unless i could solve his problem: How many Mega-Flies would he need to catch if he eats exactly 140 Mega-Fly legs each day? He wants to know all the possibilities! What are they?
The possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.
This sounds like a math problem related to division. If the Mega-Spider needs to eat 140 Mega-Fly legs each day, and we know that each Mega-Fly has a certain number of legs, we can use division to figure out how many Mega-Flies the spider would need to catch in order to consume that many legs.
Let's call the number of legs per Mega-Fly "x".
If we assume that the female Mega-Flies have 8 legs and male Mega-Flies have 3 legs, we can use this information to set up the equation:
140 Mega-Fly legs = n × 8 legs + m × 3 legs
Where n is the number of Female Mega-Fly legs and m is the number of Male Mega-Fly legs.
To find all the possibilities, we can divide 140 by 8, and then divide the remainder by 3. We can also use the modulo operator which will give us the remainder in the division.
The number of Female Mega-Flies needed = 140/8 = 17.5
The number of Male Mega-Flies needed = (140%8) /3 = 3.73 (as this is a remainder this would not make sense)
So, the possible combinations of the number of female and male Mega-Flies the Mega-Spider needs to catch are 17 female Mega-Flies and 3 male Mega-Flies.
As Mega-Flies can not have fractional legs in reality so this dream problem doesn't make sense. It is a product of your mind during sleep and it is normal to have an unrealistic dream.
To learn more about the division operation click here :
brainly.com/question/25870256
#SPJ1
Victor wants to learn to snowboard. He went to Snowy Ridge Mountain and rented a snowboard for $35, then took 5 hours of group snowboarding lessons. Victor paid $175 in all.
Using the concept of a linear function, the slope which is the cost of each lesson is $28
What is Linear FunctionA linear function is an equation that describes a straight line. It takes the form of y = mx + b, where m is the slope of the line and b is the y-intercept. A linear function can be used to represent a variety of relationships between two variables. Sometimes, a linear function can also be said to be a linear equation which is an equation that can be written in the form Ax + By = C, where A, B, and C are constants and x and y are variables. Linear equations are used to describe relationships between two variables, and they can be used to solve a wide range of problems.
In this problem, we can determine how much he paid for each of the classes.
Using y = mx + b
m = slope = constantb = y - intercept175 = m(5) + 35
175 = 5m + 35
5m = 175 - 35
5m = 140
m = 28
The cost of each lesson is $28
Learn more on linear function here;
https://brainly.com/question/15602982
#SPJ1
Jorden is building a go cart. It will take him 85 1/5 hours to complete. If he
Completes 15 1/2 hours in a week how long will it takes for him yo complete the go cart?
The amount of time that it would take Jordan to be able to complete the go cart is 5. 5 weeks
How to find the amount of time?It would be best to convert the mixed fractions to decimals, for easier calculations.
85 1/5 hours :
= 85 + 1/5
= 85 + 0.2
= 85 .2 hours
15 1/2 hours :
= 15 + 1 / 2
= 15 + 0.5
= 15.5 hours
If it takes 85.2 hours to make the go cart and 15 .5 hours is what Jordan can complete per week, the number of weeks it would take is :
= 85 . 2 / 15. 5
= 5. 5 weeks
Find out more on time taken at https://brainly.com/question/12355798
#SPJ1
Which set/sets of ordered pairs is/are functions? Explain
A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.
A. (1,2), (3,4), (5,6)
Yes, this set of ordered pairs is a function. A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.
B. (1,2), (2,4), (3,6)Yes, this set of ordered pairs is a function. A function is defined as a relation that assigns exactly one output to each input. Since each input in this set is paired with exactly one output, the set is a function.
The key features of a function include: (1) It is a relation that assigns exactly one output to each input; (2) The input values must be distinct from each other (no repeated values); (3) The output values can be the same as one another (so there can be repeated values); and (4) It has a domain (set of input values) and a range (set of output values).
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
3.46 Informed consent A researcher suspects that traditional religious beliefs
tend to be associated with an authoritarian personality. She prepares a question-
naire that measures authoritarian tendencies and also asks many religious ques-
tions. Write a description of the purpose of this research to be read by subjects in
order to obtain their informed consent. You must balance the conflicting goals of
not deceiving the subjects as to what the questionnaire will tell about them and
of not biasing the sample by scaring off religious people.
Answer: The purpose of this research is to explore the potential relationship between traditional religious beliefs and authoritarian tendencies. We are administering a questionnaire that will measure your views on various topics and ask about your religious beliefs. It is important to note that this research is not intended to judge or stereotype individuals based on their religious beliefs, but rather to gain a better understanding of how these beliefs may be related to certain personality traits. Your participation in this study is completely voluntary and your responses will be kept confidential. We understand that some of the questions may be sensitive in nature, and we want to assure you that your personal beliefs will not be used in any negative way. Your participation in this research will help us to better understand the relationship between religious beliefs and personality traits, and will contribute to the field of psychology.
Which equation represents the line that is perpendicular to the graph of 4x+3y=9 and passes through (-2,3)?
Considering the definition of perpendicular line, the equation of the perpendicular line to the graph of 4x+3y=9 and passes through (-2,3) is y= 3/4x + 9/2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseIn this case, the line is 4x+3y=9. Expressed in the form y = mx + b, you get:
3y= 9 - 4x
y= (-4x + 9)÷ 3
y= -4/3x +3
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -4/3. So:
-4/3× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-4/3)
slope perpendicular line= 3/4
The line passes through the point (-2, 3). Replacing in the expression for perpendicular line:
3= 3/4× (-2) + b
3= -3/2 + b
3 + 3/2 = b
9/2= b
Finally, the equation of the perpendicular line is y= 3/4x + 9/2.
Learn more about perpendicular line:
brainly.com/question/7197064
brainly.com/question/11470863
brainly.com/question/7280013
#SPJ1
How do you find the horizontal and vertical asymptotes of a limit?
Vertical and horizontal asymptotes are the two different forms of asymptotes. In order to help us comprehend the horizontal asymptotes fully, we provide an example. We just assess the function's limit as it approaches infinity and again as it approaches negative infinity to discover horizontal asymptotes.
Horizontal Asymptotesthe equation limx→cf(x)=L , both c and L were numbers. In this section we relax that definition a bit by considering situations when it makes sense to let c and/or L be "infinity.''
consider f(x)=1/x2 , as shown in Figure 1.30. Note how, as x approaches 0, f(x) grows very, very large. It seems appropriate, and descriptive, to state that
[tex]\lim_{x \to \infty} \frac{1}{x^{2} }[/tex]
Vertical AsymptotesIf the limit of f(x) as x approaches c from either the left or right (or both) is ∞ or −∞ , we say the function has a vertical asymptote at c .
When a rational function has a Vertical asymptote at x=c , we can conclude that the denominator is 0 at x=c . However, just because the denominator is 0 at a certain point does not mean there is a vertical asymptote there. For instance, f(x)=(x2−1)/(x−1) does not have a vertical asymptote at x=1 , . While the denominator does get small near x=1 , the numerator gets small too, matching the denominator step for step. In fact, factoring the numerator, we get
f(x)=(x−1)(x+1)/x−1.
If either limxf(x)=L or limxf(x)=L, then a function f(x) will have a horizontal asymptote of the form y=L.
Because "x" approaches to infinity and negative infinity, we must thus determine the limit value.
Take the formula f(x)=3x+7/2x5 as an example.
Now that "x" approaches to infinity, we must first determine the limit value.
In other words, [tex]\lim_{x\to \infty}f(x)[/tex]= [tex]\lim_{x\to \infty} \frac{3x+7}{2x-5}[/tex]
Using 'x' as the common denominator and numerator, we obtain
= [tex]\lim_{n \to \infty} \frac{x(3+\frac{7}{x} )}{x(2-\frac{5}{x} )}[/tex]
=[tex]\lim_{x \to \infty} \frac{(3+\frac{7}{x} )}{(2-\frac{5}{x} )}[/tex]
putting the cap on. As x → ∞, we will have 7/x → 0 and 5/x→0, giving us =3/2.
In other words, [tex]\lim_{x \to \infty} f(x)[/tex] = 3/2
Similarly, when "x" approaches toward negative infinity, calculate the limit value.
In other words,[tex]\lim_{x \to \infty} f(x)[/tex] = [tex]\lim_{n \to -\infty} \frac{3x+7}{2x-5}[/tex]
Applying the limit,
we get = [tex]\lim_{x \to -\infty} \frac{x(3+\frac{7}{x} )}{x(2-\frac{5}{x} )}[/tex]
=[tex]\lim_{x \to -\infty} \frac{(3+\frac{7}{x} )}{(2-\frac{5}{x} )}[/tex]
by taking the 'x' common to the numerator and denominator. As x, we will have 7/x→ 0 and 5/x→ 0; this gives us 3/2.
i.e., [tex]\lim_{x\to- \infty}f(x)[/tex] = 3/2
Therefore, the function has horizontal asymptote at y=3/2
There is just one horizontal asymptote for this function because the two limits were the same. Since asymptotes are lines, equations rather than merely numbers are used to describe them. There can only be two horizontal asymptotes in a function, one in each direction. When 'x' approaches any constant value 'c,' parallel to the y-axis, this is known as the vertical asymptote. The x-axis is parallel to flat lines known as horizontal asymptotes.
To learn more about Vertical asymptote:
https://brainly.com/question/4084552
#SPJ4
What was McCandless original plan?
McCandless’s original plan was to hike westward to the Bering Sea, but he sheltered in an abandoned bus on the little-traveled trail. He lived by killing small animals (and one moose) and gathering roots and berries.
On April 25, 1992, McCandless hitchhiked through Canada to get to Fairbanks via the Alaska Highway. Three days later, he found another ride to the Stampede Trail in the southwest.
McCandless was only carrying around 10 pounds (4.5 kg) of rice and a few books, which the driver believed was inadequate for a lengthy stay in the jungle.
In addition, his 0.22 rifles were usually regarded as lacking enough power for big-game hunting or bear defense, and he lacked a reliable map.
Thus, McCandless’s original plan was to hike westward to the Bering Sea, but he sheltered in an abandoned bus on the little-traveled trail. He lived by killing small animals (and one moose) and gathering roots and berries.
To know more about McCandless visit: brainly.com/question/7639778
#SPJ4
As per the theory, McCandless's Original plan was to hike westward to the Bering Sea, but he ended up sheltering in an abandoned bus on the little-traveled trail.
According to the theory called "Into the wild", here his graduation ceremony in May 1990, the person called McCandless told his parents he was going to take a road trip during the summer, and he was also saying that "I think I'm going to disappear for a while."
At the time his parents realized that they had no way of contacting him, then here some three months later, where their son had disappeared and unbeknownst to them, then he had chosen a new name that is Alexander Supertramp.
To know more about Ceremony here.
https://brainly.com/question/29357357
#SPJ4
based on the quantity equation, if m = 8,000, p = 3, and y = 12,000, then v =
Based on the quantity equation, if m = 8,000, p = 3, and y = 12,000, then v = 0.22
B. The Quantity Equation is a relationship between the money supply (m), the price level (p), and the level of economic activity (y), represented as m = py.
In this case, since we know that m = 8,000, p = 3, and y = 12,000, we can use this equation to solve for v. By dividing both sides of the equation by y, we get m/y = pv. Now we know m/y=8,000/12,000=0.66, and p=3, so we can solve for v by dividing m/y by p, which results in v=0.66/3=0.22 (when rounded) .
This means that the velocity of money (v) is .22, it means that each unit of money is used 0.22 times per year to purchase goods and services.
For more questions like Quantity Equation click the link below:
https://brainly.com/question/30114521
#SPJ4
A rectangle is constructed with its base on the diameter of a semicircle with radius 5 and its two other vertices on the semicircle. What are the dimensions of the rectangle with maximum area?.
Refer to the attached image.
The degree measure of three angles of a triangle are in the ratio of 7:12:21. Find the degree measure of the
second largest angle of the triangle.
Answer:The degree measure of the second largest angle is 12, which is the second term in the ratio. The second largest angle is therefore 12/40 * 360 = <<12/40*360=108>>108 degrees.
Step-by-step explanation:The degree measures of the three angles of the triangle are in the ratio 7:12:21, so the sum of the measures of the three angles is 7 + 12 + 21 = <<7+12+21=40>>40.
The degree measure of the second largest angle is 12, which is the second term in the ratio. The second largest angle is therefore 12/40 * 360 = <<12/40*360=108>>108 degrees.
pre calc help please
The area of the shape in the polynomial form will be 10x² + 54x.
What is the area?The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
The area of the shape will be the sum of the two triangles and two rectangles. Then we have
A(x) = (1/2)(10x - 8x)(x + 4) + (8x)(x + 4) + (x + 13 - x - 4)(2x) + (1/2)(2x)(x)
A(x) = x² + 4x + 8x² + 32x + 18x + x²
A(x) = 10x² + 54x
The area of the shape in the polynomial form will be 10x² + 54x.
More about the area link is given below.
https://brainly.com/question/27683633
#SPJ1
What are the four 4 classification of lines?
Mathematically, a line is a group of infinite points. In another word, a line expands endlessly in both directions. It is a one-dimensional figure with no limit, both to the left and to the right.
Types of lines: There are various types of lines used in everyday life.
1) Curved Lines: A line that is not straight is a curved line. If a point does not proceed in one direction, get a curve.
2) Straight Lines: The shortest line joining any two points is a straight line.
3) Horizontal Lines: A horizontal line is a line that passes from left to right in a straight line.
4)Vertical Lines: Vertical lines move up and down from top to bottom or bottom to up.
5) Parallel Lines: In geometry, parallel lines can be determined as two lines in the same plane that are at an equal distance from each other and never meet.
6) Intersecting Lines: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share an ordinary point, which lies on all the intersecting lines.
Read more about lines:
https://brainly.com/question/13763238
#SPJ4
23. The number of pairs of shoes Emily buys varies directly as the square of the area of the floor of her closet. If she can
fit 12 pairs of shoes when her closet was 10 square feet, how many pairs of shoes will she fit when the area of her
closet floor is 18 square feet?
The solution indicates that Emily can use the unitary method to accommodate 15 pairs of shoes in 18 square feet.
The unitary method's formula is as follows.Finding the value of a single unit and multiplying it by the number of units is how the unitary technique calculates the required value.
What in mathematics is a unitary rule?The unitary method is a method for figuring out a single unit's value, then multiplying that value by itself to get the required value.
According to the given information:Given,
12 pair of shoes require 10 sq feet
1 pair of shoes will require 10/12=0.83 sq feet
number of shoes she can fit in 18 sq feet= 18x0.83 = 15 shoes
To know more about unitary method visit:-
brainly.com/question/28276953
#SPJ1
A contractor is installing crown molding in a large banquet hall with the dimensions shown, where x is the number of feet in each section of molding. The perimeter of the hall can be covered using 30 total sections of molding, represented by 30x. If the crown molding costs $2.65 per foot, what is the total cost of the materials? Enter your answer in standard form.
The total cost of the materials is $79.5x
How to determine the total cost of the materials?From the question, we have the following parameters that can be used in our computation:
Side length = x
Number of sections = 30
Perimeter = 30x
Crown moulding = $2.65 per foot,
The total cost of the materials is then calculated as
Total cost = Crown moulding * Perimeter
Substitute the known values in the above equation, so, we have the following representation
Total cost = 2.65 * 30x
Evaluate
Total cost = 79.5x
Hence, the total cost is $79.5x
Read more about perimeter at
https://brainly.com/question/19819849
#SPJ1
Sandra has $150 to purchase groceries. So far, she has $20 of toiletries, $30 of meat, and $15 of produce in her cart. Which inequality could describe x, the amount of money she has left to spend?
Answer:
20 + 30 + 15 + x < 150
Sandra has $75 left to spend.
Step-by-step explanation:
To find the amount of money Sandra has left to spend, you can use the inequality:
20 + 30 + 15 + x < 150
This inequality states that the total cost of the toiletries, meat, produce, and any other items she buys must be less than $150.
To solve for x, the amount of money Sandra has left to spend, you can start by combining like terms on the left-hand side of the inequality:
20 + 30 + 15 + x = 150 - 20 - 30 - 15
x = 75
So, Sandra has $75 left to spend.
15% of 40 is what number
Answer:
6
Step-by-step explanation:
Answer: 15% of 40 is 6.
Let's find 15% of 40.
Explanation:
15% of 40 can be written as 15% × 40
= 15/100 × 40
= 6
Thus, 15% of 40 is 6.
Answer:28
Step-by-step explanation:
There is a 15 meter ladder that leans against a house. It is 9 meters from the base of the wall.
How high does the ladder reach?
Answer:
Ladder reaches the height of 12 m.
Step-by-step explanation:
Now we have to,
→ find the height the ladder reaches.
Formula we use,
→ Pythagoras theorem
Forming the equation,
→ 9² + x² = 15²
Now required value of x will be,
→ 9² + x² = 15²
→ 81 + x² = 225
→ x² = 225 - 81
→ x² = 144
→ x = √(144)
→ [ x = 12 ]
Hence, ladder reaches 12 meters.
the talk time battery life of a group of cell phones is normally distributed with a mean of 5 hours and a standard deviation of 15 minutes what percent of phones have a battery life between 4.5 hours and 5.25 hours
Approximately 47.72% of phones have a battery life of between 4.5 and 5.25 hours.
To determine the percentage of phones with a battery life between 4.5 hours and 5.25 hours, we need to find the area under the normal curve between those two points.
To do this, we can standardize the lower and upper limits of the range and use a table of the normal distribution to find the area.
The lower limit of the range, 4.5 hours, is 0.25 hours less than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the lower limit is 0.25 standard deviations below the mean.
The upper limit of the range, 5.25 hours, is 0.25 hours more than the mean of 5 hours. Since the standard deviation is 15 minutes, which is equal to 0.25 hours, the upper limit is 0.25 standard deviations above the mean.
The area under the normal curve between the lower and upper limits is therefore the area under the normal curve between -0.25 and 0.25 standard deviations.
Using a table of the normal distribution, we find that the area under the normal curve between -0.25 and 0.25 is approximately 0.4772.
Thus, about 47.72% of phones have a battery life between 4.5 hours and 5.25 hours.
Learn more about the standard deviation here:
brainly.com/question/14747159
#SPJ1
The difference of two numbers is 59. The sum of the numbers is 141. Write and solve a system of two
equations to find both numbers.
The value of both the numbers are 100 and 41. using elimination methord.
What is system of equations ?A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.
Simultaneous equations, system of equations , Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Let the numbers be x and y.
As per sum
x - y = 59
x + y = 141
Adding both equation
2x = 200
x = 100
Now x-y = 59
x - y =100-59 = 41 = y
The value of both the numbers are 100 and 41. using elimination methord.
To learn more about System of Equation refer to :
https://brainly.com/question/29062124
#SPJ1
When can a function cross a horizontal asymptote?
Answer:
If x is a real number
Step-by-step explanation:
If there is a horizontal asymptote, say y=p, then set the rational function equal to p and solve for x. If x is a real number, then the line crosses the horizontal asymptote at (x,p).
For a triangle ABC, which of the following is true ?
A BC^2 - AB^2 = AC^2
B AB – AC = BC
C (AB – AC) > BC
D (AB – AC) < BC
The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.
The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.
Learn more about triangle here
https://brainly.com/question/2773823
#SPJ4
The first option, A BC^2 - AB^2 = AC^2, is true. This is a special case of the Pythagorean Theorem, which states that for a right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In this case, BC^2 - AB^2 = AC^2.
The first option, A BC^2 - AB^2 = AC^2, is true. This special case of the Pythagorean Theorem states that for any right triangle, the sum of the squares of the two shorter sides (A and B) is equal to the square of the longest side (C). In other words, BC^2 - AB^2 = AC^2. This theorem has been used for centuries by mathematicians and builders, as it is a reliable way to measure and construct the sides of a triangle. The theorem is also useful in applications such as computer graphics, where it is used to calculate the dimensions of a triangle on a two-dimensional plane. By understanding the principles of the Pythagorean Theorem, one can accurately measure and construct triangles of any size and shape.
Learn more about triangle here
brainly.com/question/2773823
#SPJ4