The expression of 7 is subtracted from the square of a number will be :
x² - 7 .
Given,
7 is subtracted from the square of a number .
Here,
Firstly ,
Let a number be x .
Square of a number will be x² .
Now we have to subtract 7 from the x² .
So,
The expression will be :
x² - 7.
Thus its is the required expression .
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Triangle ABC is being rotated 90° about the
origin. What will A' be if A was located at (7. 2)?
Answer:
A' (2, - 7 )
Step-by-step explanation:
under a rotation about the origin of 90°
a point (x, y ) → (y, - x ) , then
A (7, 2 ) → A' (2, - 7 )
In 1945, a person made $3.20 for working an 8-hour day. model a division problem to determine how much a person made per hour in 1945. what is the hourly wage?
Answer:
$0.40 per hour
(This is 40cents per hour)
Step-by-step explanation:
The "hourly wage" is a rate, a ratio, a comparing of two numbers. We are comparing dollars and hours. So we have information given in the problem about the $ and hours. Compare these two numbers and then simplify. Because we need the hours, on the bottom, to be 1 hour. "Per hour" means per ONE hour.
dollars/hours
= $3.20/ 8hours
Divide.
= $0.40/1 hour
This is the hourly wage, $0.40 (or 40cents) per hour.
Determine the scale factor. Pre-Image: (-5, 3), (-2, 3), (-2, 1), (-5, 1) Image: (-10, 6), (-4, 6), (-4, 2), (-10, 2)
The scale factor, given the pre - image and the image, can be found to be 2.
How to find the scale factor ?The scale factor is the measure that either increases or decreases the size of a shape. When the scale factor is an integer then the size of the shape increases.
When the scale factor is a fraction with a larger denominator than numerator, the shape decreases.
To find the scale factor, look at the relationship between a point on the pre - image and the corresponding point on the image. For the points, ( -5, 3 ) and ( -10, 6 ) the scale factor would be :
= -10 / -5 or, = 6 / 3
= 2 = 2
The scale factor is therefore 2.
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How do you solve for Y using elimination?
On solving the given system of equations 3x + 4y = -25 and 2x - 3y = 6 by using the elimination method , we get that the value of x is -3 and value of y is -4 .
The System of equations to be solved by elimination method is given as :
3x + 4y = -25 ....equation(1) and
2x - 3y = 6 ;.....equation(2)
By the method of elimination ;
we multiply the equation(1) by 2 ;
we get ⇒ 6x+8y = -50 ....equation(3) ;
we multiply the equation(2) by 3 ;
we get ⇒ 6x-9y = 18 ....equation(3) ;
Subtracting equation(4) from equation(3) ,
we get ;
⇒ 17y = -68 ;
⇒ y = -4 ,
Substituting y as -4 in the equation "2x - 3y = 6" , we get x = -3 .
The given question is incomplete , the complete question is
How do you solve the system of equations 3x + 4y = -25 and 2x - 3y = 6 , by using the elimination method ?
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Multiply. then in simplest form.
Assume all variables are non-negative.
√x^5 • √x¹⁰
[tex]\sqrt{x^5}\cdot \sqrt{x^{10}}\implies \sqrt{x^5\cdot x^{10}}\implies \sqrt{x^{5+10}}\implies \sqrt{x^{15}}\implies \sqrt{x^{14+1}} \\\\\\ \sqrt{x^{14}\cdot x^1}\implies \sqrt{x^{7\cdot 2} x}\implies \sqrt{(x^7)^2 x}\implies x^7\sqrt{x}[/tex]
A baseball player strikes out 3 times for every 2 hits he gets. If the player strikes out 15 times, how many hits does he get? If the player gets 46 hits, how many times does he strike out?
Round 543,829 to the nearest 100 1,000 10,000
Answer:
540,000
Step-by-step explanation:
what is equal to -4(3x+2)=4
Answer:
x = -1
Step-by-step explanation:
You want the solution to the equation -4(3x+2) = 4.
SolutionFirst of all, we can divide by -4.
3x +2 = -1
Subtracting 2 gives ...
3x = -3
Finally, dividing by 3, we have the solution:
x = -1
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Seth uses 20 nails to make a birdhouse. He wants to make 60 birdhouses to sell at the county fair. There are 30 nails in a box. How many boxes will he need?…..Could someone tell me what type of operation I have to use?
To build 60 birdhouses, Seth will need 40 boxes of nails
What is proportion?A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)
Seth uses 20 nails for a birdhouse. This means that to build 60 birdhouses, Seth will need 60×20 = 1200 nails
In each box there are 30 nails;
This means that 1200 nails will contain 1200/30 boxes = 40 boxes.
Therefore the number of boxes of nails Seth will need to build 60 birdhouses is 40.
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The value of 5 × (7 + 3)2 ÷ 4 this expression is
PLEASE HELP
Answer: 25
Step-by-step explanation:
This quarter Joseph has earned grades of 81, 89, 80, 84, 89, and 85 on his math quizzes. Based on these scores, he claims to have an average quiz grade of 89. Explain why this claim might be considered inaccurate
The claim might be considered to be inaccurate because Joseph's actual average quiz grade for math is 85
How to find the average ?When given a set of numbers of variables, the average variable can be found by dividing the sum of the variables by the number of variables in the set.
For Joseph therefore, the average of the quiz grades that he has from his math quizzes would be :
= ( 81 + 89 + 80 + 84 + 89 + 85 ) / 6
= 508 / 6
= 84. 6
= 85
This shows that Joseph's claim of an average of 89 in his math quizzes is therefore inaccurate.
Most likely, what Joseph thought he meant was that the mode of his math quizzes was 89 as the mode refers to the variable that appears the most in a set.
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Jacqueline is buying grapes and apples from the Walmart produce section. Grapes are $3 per pound and apples are $4 per pound. Jacqueline's mother gave her $20 to spend. To determine the combinations of grapes and apples that she can afford to purchase,
Jacqueline wrote the inequality 3x+4y<20 .
Define the variables Jacqueline used based on the context.
Let x represent
Let y represent
Explain why the inequality sign s makes sense in this context.
Graph the inequality 3x+4y< 20.
The ordered pair (3,-4) is a solution to the inequality 3x + 4y s 20. Explain why this is not a viable solution in the context of buying grapes and apples.
The ordered pair (4,2) is a point on the boundary line. Explain what the ordered pair represents in the situation.
Answer:
Step-by-step explanation:
This should help
There are 25 sweets in a jar.
9 of the sweets are yellow.
Jamie takes at random a sweet from the jar.
(a) Write down the probability that the sweet is yellow.
The probability that the sweet is yellow will be;
⇒ 9 / 25
What is mean by Probability?The term probability refers to the likelihood of an event occurring.
Given that;
There are 25 sweets in a jar.
And, 9 of the sweets are yellow.
Now,
Since, Jamie takes at random a sweet from the jar.
Hence, The probability that the sweet is yellow = 9/25
= 0.36
Thus, The probability that the sweet is yellow = 0.36
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edurado has $24 saved. if he saves $8 each week how much money will he have in 5 weeks
Answer:
Step-by-step explanation: 40$
HELP PLEASE
HELP ME PLEASE
HELPPPPPPPPPP
10 POINTS
We can simplify the given expression -6x - 12 + 8y + 16x to get:
10x - 12 + 8y
How to simplify the following expression?Here we want to simplify the expression below:
-6x - 12 + 8y + 16x
To simplify this we need to try to find common factors, the only common factor that we can see on the equation is "x", then we can rewrite the expression:
-6x - 12 + 8y + 16x
-6x + 16x - 12 + 8y
Now we can rewrite the first two terms as:
(-6 + 16)*x - 12 + 8y
10x - 12 + 8y
That is the simplified expression.
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Find the area of the figure, round to the nearest hundredth.
The area of the given figure is 51.63 m².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
In the given combination figure, there are three geometrical shapes rectangle, triangle and semicircle.
Now, in triangle base =3 m and height =5 m
So, area of a triangle = 1/2 ×Base×Height
= 1/2 ×3×5
= 7.5 m²
In rectangle length= 6 m and width =5 m
Area of rectangle = Length×Width
= 6×5
= 30 m²
In semicircle, radius =6/2 =3 m
Area of a semicircle = πr²/2
= 3.14×3×3/2
= 14.13 m²
Total area = 7.5+30+14.13
= 51.63 m²
Therefore, the area is 51.63 m².
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avery is throwing a pizza party. she had 7 pounds of cheese available and she needs 3/5 pound of cheese to make each pizza. what is the maximum number of full pizzas she can make?
The maximum number of full pizzas she can make if Avery had 7 pounds of cheese available, and she needs 3/5 pounds of cheese to make each pizza, is 11.
What is division?When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. For instance, 4 2 = 2. As a multiplication fact, this can be expressed as 2 + 2 = 4.
Given:
Avery had 7 pounds of cheese available, and she needs 3/5 pound of cheese to make each pizza,
Calculate the number of pizzas she can make as shown below,
The number of pizzas = total cheese/cheese required to make one pizza
The number of pizzas = 7 / 3/5
The number of pizzas = 7 × 5 / 3
The number of pizzas = 35 / 3
Thus, the total number of pizzas she can make is 11 and 2 / 3.
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Explain briefly the difference between spot heights and trigonometrical stations or points.
Answer:
Step-by-step explanation:
A spot height shows exact heights by a black dot with a number next to it. The number is the height above sea level in metres. Trig points or Triangulation Pillars are another way of spotting the top of a mountain on a map
An equilateral triangle has an apothem length 2. What is the area of the triangle?
12√√3
4√3
4
Area = 12√3
What is an equilateral triangle ?An equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.
Given,
Length of apothem of equilateral triangle = 2
It is an equilateral triangle made up of six 30°-60°-90° right triangles with the short leg of 2 units.
2 is the altitude of small triangles
tan 30° = altitude/base
1/√3 = 2/base
base = 2√3
Area of the equilateral triangle
= 6 × area of the small triangles
= 6 ×1/2 × altitude × base
= 3 × 2 × 2√3
= 12√3
Hence the area of equilateral triangle becomes = 12√3
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If the following relation is a function, which
ordered pair could be the missing point?
{(-4, 3), (5, -1), (0, 2), (x, y)}
A. (5, 7)
B. (1, -3)
C. (0, -6)
D. (-4, 0)
{(-4, 3), (5, -1), (0, 2), (x, y)} set of ordered pairs (1, -3) could represent a linear function.
What are Functions?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
For option A:
m=1+2/3-1=3/2
m=3/2
m=7-4/8-5=3/3=1
Slopes are not same
For option B:
m=3-6/-3+6=-3/3=-1
m=0-3/0+3=-1
m=-4/3
Slopes are same
Slopes are same at every point, so this set of ordered pairs could represent a linear function
Hence, the correct option is B.
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in how many ways can people be seated in a row of chairs if three of the people, john, wilma, and paul, refuse to sit in three consecutive seats?
The total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.
There are a few different ways to approach this problem, but one possible method is to use the principle of inclusion-exclusion.
We start by counting the total number of ways to seat the people in a row of chairs without any restrictions. Since there are n chairs, there are n! ways to seat the people in a row.
Next, we count the number of ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats. Since there are n-2 chairs between the three chairs that John, Wilma, and Paul are not allowed to sit in, there are (n-2)! ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats.
Finally, we use the principle of inclusion-exclusion to find the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats.
The total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is n! - (n-2)!
For example, if there are 7 chairs, the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is 7! - (7-2)! = 5040 - 720 = 4320
So, the total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.
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Assuming no denominator equals zero, which expression is equivalent to the given expression?.
Assuming no denominator equals zero, b^4/a expression is equivalent to the given expression a^3b^5/ a^4b
Definition of Expression in Math? An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
The applicable rules of exponents are ...
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
The expression can be rewritten as ...
a^3b^5/ a^4b
The expression can be rewritten as ...
b^4/a
complete question
Assuming no denominator equals zero, which expression is equivalent to the given expression?.
a^3b^5/ a^4b
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Situations and Sequence Types Assignment
Answer:12+6=3=1.5
Step-by-step explanation:
the _______ _______ is a statement of no change comma no effect comma or no difference.
The null hypothesis is a statement of no change, no effect, or no difference.
The null hypothesis is a statement or assumption that there is no relationship between two variables or no difference between two groups, and any observed differences are likely due to chance. It is often denoted as H0. In scientific research, the null hypothesis is usually tested against an alternative hypothesis, which proposes that there is a relationship or difference.
For example, in a medical study, the null hypothesis might be that a new treatment has no effect on a certain disease, while the alternative hypothesis is that the treatment does have an effect. The researcher would then collect data and use statistical methods to test the null hypothesis against the alternative hypothesis.
It's important to notice that a failure to reject the null hypothesis doesn't mean the null hypothesis is true, it only means that there isn't enough evidence to reject it.
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Find the slope of the line that passes through the points \left(10,8\right)(10,8) and \left(4,12\right)(4,12).
Write your answer as a simplified fraction.
3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).
What is the Equation of line?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.
Given, two coordinates of a line [tex]\left(10,8\right) and \left(4,12\right)[/tex]
The slope of the line formula is:
[tex]m = \frac{y₂ - y₁}{ x₂ - x₁}[/tex]
Let's substitute our numbers.
[tex]m = -\frac{8 -12}{4-10}[/tex] = -4/6
The GCF of these two numbers is 2
So, our slope = -2/3
The general equation of a line is y = mx +c
Therefore the equation of the line is y = -2/3x + c
Since, this line passes through ( 10, 8 )
Hence, it must satisfy these coordinates
8 = -2/3 * 10 + c
44/3 = c
Thus the equation of the line is y = -2/3x +44/3
the equation of the line is 3y + 2x = 44.
Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.
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A rectangular prism has a volume of 840 cubic inches. The height of the prism is 6 inches and the width
iS 10 inches. Find the length of the prism and explain how you found it.?
Answer:50400cm2
Step-by-step explanation:lxWxH
Answer:
The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.
Step-by-step explanation:
The length of the prism can be found by using the formula for volume of a rectangular prism, which is: V = lwh. Rearranging the formula to solve for l, the length, we get l = V / (wh). In this case, V is 840, w is 10, and h is 6. Plugging these values into the equation, we get l = 840 / (10 * 6) = 14 inches. Therefore, the length of the rectangular prism is 14 inches.
Discuss the difference between r and p.r represents the p represents theChoose the correct answers below- critical value for the correlation coefficient. -population correlation coefficient. -sample correlation coefficient.
The difference between r and p. r represents the p represents the
Sample correlation coefficient.
Now, According to the question:
What is sample correlation coefficient?
The sample correlation coefficient (r) is a measure of the closeness of association of the points in a scatter plot to a linear regression line based on those points, as in the example above for accumulated saving over time
The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations. The population correlation coefficient uses the population covariance between variables and their population standard deviations.
Hence, The correct answer is : Sample correlation coefficient.
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Mr. Wilson and Miss Krietz have homerooms with the same perimeter. Miss Krietz's homeroom has a length 1 1/4 times the length of Mr. Wilson's homeroom. What is the width, w, of Miss Krietz's homeroom?
Answer: 12.5
Step-by-step explanation:
Let's first find the perimeter.
P = 2l + 2w
Since Mr.Wilson's perimeter equals Ms.Krietz's, we can use the same number for both.
P = 2(30)+2(20) = 100
Since the length of Ms.Krietz's homeroom is 1.25x the length of Mr.Wilson's, we can substitute that
l = 1.25(30) = 37.5
100 = 2(37.5) + 2w
100 = 75 + 2w
25 = 2w
w = 12.5
How many passes scans will go through a list of 10 elements when we use bubble sort algorithm for sorting?
By using the bubble sort algorithm, a total of 9 passes/scans will be there.
Sorting AlgorithmWhen an array or list of items has to be rearranged, a sorting algorithm is used to compare the elements and sort the elements in the array or list. In each data structure, the new order of the items is determined using the comparison operator.
Bubble Sort AlgorithmThe simplest sorting method is called Bubble Sort, and it involves periodically exchanging nearby components if they are arranged incorrectly. Since the average and worst-case time complexity of this approach is relatively high, it is not appropriate for huge data sets.
According to the question, we have
Total number of elements we are having, i.e., n = 10
The total number of passes = n-1 = 10 - 1 = 9
(Number of passes required by bubble sort of n elements will be n-1)
therefore, the total number of passes/scans will be 9
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Ruby is designing a new board game, and is trying to figure out all the
possible outcomes. How many different possible outcomes are there if
she flips a coin, rolls a fair die in the shape of a cube that has six sides
labeled 1 to 6, and spins a spinner with three equal-sized sections
labeled Walk, Run, Stop?
Answer:
Submit Answer
attempt 1 out of 2
The maximum possible outcome for the given situation is 36.
What is Probability?The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.
Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.
Since there are three things happening simultaneously and favorable moments will be chosen by all three.
Thus Maximum possible outcome = 2 * 6 * 3 = 36
Therefore, For the given situation, 36 outcomes are available in total.
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