Answer:
if u free can u come please...
Translate the sentence into an equation.
Three less than the product of 9 and a number equals 2.
The translation of the sentence to an equation is 9x - 3 =2
How to translate the sentence to an equationFrom the question, we have the following parameters that can be used in our computation:
Three less than the product of 9 and a number equals 2.
Represent the number with x
So, we have the following representation
Three less than the product of 9 and x equals 2.
The product of 9 and x means 9x
So, we have
Three less than 9x equals 2.
Three less than means -3
So, we have
9x - 3 equals 2
Lastly, we have
9x - 3 =2
Hence, the equation is 9x - 3 =2
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Help would be greatly appreciated’
The solution of the give inequality is n < 6
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given is an inequality, 3-2(n-4) > -1
On solving, we get,
3-2(n-4) > -1
3-2n+8 > -1
-2n+11 > -1
2n-11 < 1
2n < 12
n < 6
Hence, the value of the inequality is n < 6
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Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.) f(x) = sin(x) + 9 0 < x < 2Ï€ increasing decreasing
The function is increasing on the open interval (0, 2Ï€) and decreasing on the open interval (-2Ï€, 0).
The derivative of a function tells us the slope of the function at any given point, and the sign of the derivative tells us whether the function is increasing or decreasing at that point. If the derivative is positive, the function is increasing at that point, and if the derivative is negative, the function is decreasing at that point.
The function f(x) = sin(x) + 9 is increasing on the interval (0, 2π) because the derivative of sin(x) is positive on this interval. The derivative of sin(x) is cos(x), which is positive for all values of x except for multiples of π.
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The room numbers on one side of a hotel hall are odd. They are numbered
from 11 through 59 inclusive. Kristen is in one of these rooms. Express
as a fraction the probability that Kristen's room number is divisible by 5.
Find the area of the shaded part.
19) The area of the shaded part is ___in²
The area of the shaded part of the rectangle given the total rectangle and unshaded part of the rectangle is 440 in²
What is the area of the shaded part?Total rectangle:
Length of the rectangle = 30 in
Width of the rectangle = 20 in
Area of total rectangle = Length of the rectangle × Width of the rectangle
= 30 in × 20 in
= 600 in²
Unshaded rectangle:
Length of the rectangle = 16 in
Width of the rectangle = 10 in
Area of unshaded rectangle = Length of the rectangle × Width of the rectangle
= 16 in × 10 in
= 160 in²
Area of the shaded part = Area of total rectangle - Area of unshaded rectangle
= 600 in² - 160 in²
= 440 in²
Therefore, the area of the shaded part of the rectangle is 440 in²
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Solve negative 5 times y plus seven thirds times y equals negative 5 minus eight thirds times y minus 4 for y.
A: Infinite solutions
B: No solution
C: y = −14
D: y = 0
Answer:
C
Step-by-step explanation:
its just ez bro first you have to multiply 5xy and y equals negative so minus 8 thrids and then times y minus 4 for y
Answer:
B; No Solution
Step-by-step explanation:
Did it on paper, however, it won't let me paste the picture here. :(
Which of these events is not mutually exclusive?
A) the chance that you will get a heads or tails when you flip a coin once.
B) the chance that you will only study for the test alone or with a friend.
C) the chance that you will meet your friends for pizza or at a chinese restaurant for dinner today at 6.
D) the chance that you will answer the ringing phone or take a walk.
The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
Mutually exclusive events are events that cannot occur at the same time, or that do not have any overlap. In the case of flipping a coin, the possibility of getting a head and the possibility of getting tails are independent of each other, and both can occur simultaneously. Therefore, the chance that you will get heads or tails when you flip a coin once is not mutually exclusive.
On the other hand, the other events listed (B, C, and D) are mutually exclusive. The chance that you will only study for the test alone or with a friend cannot occur simultaneously, as you can either study alone or with a friend, but not both. Similarly, the chance that you will meet your friends for pizza or at a Chinese restaurant for dinner today at 6 cannot occur at the same time, as you can either go to the pizza place or the Chinese restaurant, but not both. And the chance that you will answer the ringing phone or take a walk cannot occur simultaneously, as you can either answer the phone or take a walk, but not both.
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The chance that you will get a heads or tails when you flip a coin once (option A) is not mutually exclusive.
this question is related to probability.
mutually exclusive
Mutually exclusive events are those events that do not occur at the same time.
For example, when a coin is tossed then the result will be either head or tail, but we cannot get both the results. Such events are also called disjoint events since they do not happen simultaneously.
probability
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
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Which is the coefficient in the expression 23y+5
Answer:
23
coefficient is the number multiplied by a variable
How do you change 5/8 to an equivalent fraction with a denominator of 100
We can multiply both the numerator and denominator by 12.5 to get the equivalent fraction:
5/8 = 62.5/100
How to find the equivalent fraction?We want to rewrite 5/8 as an equivalent fraction with a denominator of 100.
Remember that if we multiply both the numerator and denominator of a fraction by the same number, then we will get an equivalent fraction.
So if that number is x, we can write:
5/8 = (5*x)/(8*x)
First, we want a denominator of 100, then the value of x must be such that:
8*x = 100
x = 100/8
x = 12.5
Then the equivalent fraction is:
(5*12.5/8*12.5) = 62.5/100
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Please help I'll give brainliest!!!!!!!!
The length of the line segment WK for the triangle ∆WGN is equal to 13.52 rounded to the nearest hundredth.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
Considering the sine of the angle S in the right triangle ∆KSW, the angle m∠KSW = m∠HSR = 51°
line segments;
SW = SR + RW
SW = 3.6 + 13.5
SW = 17.4
sin 51° = WK/17.4 {opposite/hypotenuse}
WK = 17.4 × sin 51° {cross multiply}
WK = 13.5223
Therefore, the length of the line segment WK for the triangle ∆WGN is derived as 13.52 rounded up to the nearest hundredth, using the trigonometric ratio is sine.
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A paper has an area of 598 square centimeters. What is the paper's area in square inches? Use the following conversion: 1 square inch is 6.5 square centimeters.
Answer:
[tex]92.0 in.^{2}[/tex]
Step-by-step explanation:
The prompt said to use the conversion 1 square inch to 6.5 square centimeters.Keeping this in mind, we will divide the value of 598 square centimeters by a ratio of [tex]6.5cm^{2} : 1 in.^{2}[/tex].To do this, we will use the following equation: [tex](A_{I}) = \frac{598}{6.5} \frac{cm^{2}}{cm^{2} /in.^{2} }[/tex]
where [tex]A_{I}[/tex] represents the area of the paper in inches.\
Next, divide the numerical value of 598 by 6.5, receiving the quotient [tex]\frac{598}{6.5} \frac{cm}{cm/in.^{2} } = 92.0 \frac{cm}{cm/in.^{2} }[/tex].
Now we can adjust to find the proper units.Cancel the [tex]cm^{2}[/tex] (square centimeters unit) existing in both the numerator and the denominator, thereby leaving [tex]92.0 \frac{1}{1/in.^{2} }[/tex].
Finally, since the inverse of the inverse of a number is that same number itself ([tex]\frac{1}{1/b} = b[/tex]), we rewrite the measuring units of this quotient as [tex]92.0 in.^{2}[/tex].
Now our answer is clean and finalized for submission.
An ideal gas occupies a volume of 0.50 liter (L) at a pressure of 0.20 atmosphere. What volume will the gas occupy at 0.40
atmosphere if the temperature remains constant?
A) 0.25 L
B) 0.50 L
C) I L
D) 2L
Correct answer is 0.25, but please show the work
Answer:
To find the volume of the gas at a pressure of 0.40 atm if the temperature is held constant, we can use the ideal gas law:
PV = nRT
Where P is the pressure of the gas, V is the volume of the gas, n is the number of moles of gas, R is the ideal gas constant, and T is the temperature of the gas.
Since the number of moles and the temperature of the gas are constant, we can rearrange the equation to solve for V:
V = (nRT)/P
Plugging in the given values, we have:
V = (nRT)/P = (nRT)/(0.40 atm)
We know that the original volume of the gas was 0.50 L, so the new volume will be:
V = (0.50 L)(0.20 atm)/(0.40 atm) = 0.50 L / 2 = 0.25 L
So the volume of the gas at a pressure of 0.40 atm will be 0.25 L. The correct answer is A) 0.25 L.
Answer:
A) 0.25 L
Step-by-step explanation:
Use Boyle's Law:
[tex] P_1V_1 = P_2V_2 [/tex]
[tex] 0.20~atm \times 0.5~L = 0.40~atm \times V_2 [/tex]
[tex] V_2 = \dfrac{0.20~atm \times 0.5~L}{0.40~atm} [/tex]
[tex] V_2 = 0.25~L [/tex]
Write an equation for a line parallel to y=−3x−5 and passing through the point (2,-10)
Considering the definition of parallel line, the equation for a line parallel to y=−3x−5 and passing through the point (2,-10) is y=-3x-4.
What is 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.Parallel lineParallel lines are two lines that are always at the same distance from each other.
Two lines are parallel if they have the same slope m and different y-intercepts b.
Equation of parallel line in this caseThe line is y= -3x -5
where
the slope m is -3the ordinate to the origin b is -5If two lines are parallel if they have the same slope, the parallel line has a slope of -3.
The line passes through the point (2, -10). Then:
-10= -3× (2) + b
-10= -6+ b
-10 + 6= b
-4 = b
Finally, the equation of parallel line is y= -3x - 4.
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Please help me I need help asap
When 60 gallons are used for 500 miles and 13 1/2 gallons are left, 100 miles can be traveled.
what is equation ?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to express the connection between two phrases on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
given
From the question, we know that 60 gallons can be used for 500 miles.
= 500/60
= 8 gallons per mile.
The number of miles that a 13 1/2 gallons will use will be:
= 8 × 13 1/2
= 100 miles
When 60 gallons are used for 500 miles and 13 1/2 gallons are left, 100 miles can be traveled.
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For the right answer,I
you will get 20 points:)
Answer:
Summary answers in attached image
Step-by-step explanation:
Unit rate = Cost/weight
The lower the unit rate the better the value
All numbers rounded to nearest cent
Oranges Unit Rates:
2lb bag : $3/2lb = $1.50 per lb
3lb bag: $4.75/3lb = $1.58 per lb
2lb bag has lower unit rate hence better value
Drinks unit rates
16oz bottle: $0.89/16 = $0.06 per oz
128oz bottle: $4.50/128 = $0.04 per oz
128oz bottle of milk is a better value
Veggies unit rates
15oz can: $1.25/15 = $0.08 per oz
28oz can: $2.00/28 = $0.07 per oz
28oz can has better value
Cornflakes unit rates
17oz box: $2.98/17 = $0.18 per oz
21oz box: $3.50/21 = $0.17 per oz
21oz box has better value
Chips unit rates:
10oz bag: $2.50/10 = $0.25 per oz
14oz bag: $3.65/14 = $0.26 per oz
10oz bag has better value
Which of the following calculations described in the following statements require that you use the addition rule?
A)Calculate the probability of black offspring from the cross AaBb × AaBb,when B is the symbol for the black allele.
B)Calculate the probability of children with both cystic fibrosis and polydactyly when parents are each heterozygous for both genes.
C)Calculate the probability of each of four children having cystic fibrosis if the parents are both heterozygous.
D)Calculate the probability of a child having only sickle-cell anemia or cystic fibrosis if each parent is each heterozygous for both traits.
If probability each parent is heterozygous for both features, determine the likelihood that a child will only have cystic fibrosis or sickle-cell anaemia.
P(Sickle-cell Anemia)
= 0.25
P(Cystic Fibrosis)
= 0.25
P(Sickle-cell Anemia or Cystic Fibrosis) = P(Sickle-cell Anemia) + P(Cystic Fibrosis)
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.25 + 0.25
P(Sickle-cell Anemia or Cystic Fibrosis)
= 0.5
The likelihood that a child will have either cystic fibrosis or sickle-cell anaemia is 0.5 or 50%. This is because both parents are heterozygous for both features. This means that each parent has a 25% chance of passing on either one of the conditions to their child. The probability of having either one of the conditions is the sum of the individual probabilities, which is 0.25 + 0.25 = 0.5 or 50%.
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Which of the following tables represents a proportional relationship?
Answer: Choice D
Step-by-step explanation:
When we think of proportional relationships, we can think of ratios. The x and y value will be multiplied by the same ratio throughout the table to create equivalent points. The easiest way to do this is to turn the points into fractions and see if they all simplify to the first point, which in this case is 2/3.
4/6 / 2/2 = 2/3
6/9 / 3/3 = 2/3
8/12 / 4/4 = 2/3
2 is being added to the x value each time and 3 is being added to the y value each time. hope this helps!
1. The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is
extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building. A sketch of this situation is shown. What angle does the ladder make with the truck? Round to the nearest tenth.
The angle made by the ladder with the truck is 61.78°
What is trigonometric ratio?Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled.
Given that, The ladder of a fire truck is extended to reach a window of an apartment complex. The ladder is extended to a length of 55 feet and is attached to the truck bed which is 26 feet from the building.
The situation is creating a right triangle, hence, using trigonometric ratio,
Since, we know, the cosine of an angle is the ratio of adjacent side to hypotenuse.
Therefore, cosx = 26 / 55
x = cos⁻¹(26 / 55)
x = 61.78°
Hence, the angle made by the ladder with the truck is 61.78°
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100
POINTS!!!
Question 2
The volume of the original sphere compares with that of new sphere as original sphere volume × 5³ = new sphere volume.
What is Sphere?A sphere is a three dimensional figure which consists of set of all the points which are at an equal distance from a point called the center of the sphere.
Sphere if dilated by a scale factor of 5 to get new sphere.
This means that radius of the new sphere is 5 times as big as radius of the original sphere.
Let r be the radius of original sphere.
Radius of new sphere = 5r
Volume of the original sphere = [tex]\frac{4}{3}[/tex] π r³
Volume of the new sphere = [tex]\frac{4}{3}[/tex] π (5r)³
= [tex]\frac{4}{3}[/tex] π 5³ r³
= 5³ × [tex]\frac{4}{3}[/tex] π r³
= 5³ × Volume of the original sphere
Hence 5³ × Volume of the original sphere = Volume of new sphere.
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The length of a rectangle is nine more than triple the width. If the perimeter is 98 inches, find the dimensions. The width is ___inches. The length is ___ inches.
Given a rectangle of which its length is nine more than triple the width. The width is _10_inches. The length is 39 inches.
Let:
l = length of the rectangle
w = width of the rectangle
"The length of a rectangle is nine more than triple the width" can be translated as:
l = 9 + 3w
perimeter = 2 l + 2w
Substitute perimeter = 98 and l = 9 + 3w into the perimeter equation:
98 = 2 x (9 + 3w) + 2w
98 = 18 + 8w
8w = 98 - 18
8w = 80
w = 80/8 = 10 inch.
Substitute w = 10 into the length equation:
l = 9 + 3w
l = 9 + 3 x 10
l = 9 + 30 = 39
Therefore the correct answer is:
The width is _10_inches. The length is 39 inches.
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The children's section at a public
7
way has picture books and chapter books.
ratio of 2:3. If there are a total of 500
withal
bus in the children's section, then how many
chapter books are there?
Answer:
Chapter books 300
Step-by-step explanation:
I think that you are saying that there are a total of 500 books and how many are chapter books.
The ratio would be
[tex]\frac{chapter books}{total books}[/tex] = [tex]\frac{chapter books}{total books}[/tex]
The ratio is 2:3 for the total would be 5 (2+3)
[tex]\frac{3}{5}[/tex] = [tex]\frac{x}{500}[/tex]
5 x 100 = 500
3 x 100 = 300
A manufacturer knows that their items have a normally distributed length, with a mean of 16.6 inches, and standard deviation of 1.8 inches.
If one item is chosen at random, what is the probability that it is less than 20.6 inches long?
Answer:
i don't sir
Step-by-step explanation:
An office building floor has a perimeter of 5.550 feet. What is the perime
of the floor in yarde?
Answer: 1850 yd
Step-by-step explanation:
3 feet is equal to 1 yard.
Divide 5550 by 3 to get 1850
Sara earns a 15% commission on furniture that she sells. How much commission
would she earn if she sells a dining room set for $850?
well, how much is 15% of 850?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 850}}{\left( \cfrac{15}{100} \right)850}\implies 127.5[/tex]
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In the diagram below of triangle KLM, N is the midpoint of KM and O is
the midpoint of LM. If NO = 18 - 2x, and KL = 9x
measure of NO?
16, what is the
Measure on NO
Answer:
10 units
Step-by-step explanation:
2 * (18-2x) = 9x-16
36 - 4x = 9x -16
52 = 13x
x = 4 then NO = 18-2(4) = 10 units
- left his house and drove to the store. He stopped and went inside. From he drove in the same direction until he got to the bank. He stopped and went the bank. Then he drove home. The graph below shows the number of blocks com home Connor is a minutes after he left his house, until he got back home.Connor left his house and drove to the store. He stopped and went inside. From there, he drove in the same direction until he got to the bank. He stopped and went inside the bank. Then he drove home. The graph below shows the number of blocks away from home Connor is a minutes after he left his house, until he got back home.
The graph shows that Connor traveled a total of seven blocks from his house to the store and then from the store to the bank.
What is graph?Graph is a data structure used to represent data in a visual way. It is composed of a set of nodes and edges, where each node represents an object and each edge represents a connection between two objects. Graphs can be used to represent a variety of data structures, such as a network of roads, a family tree, or a list of friends. Graphs are powerful tools for understanding complex relationships in data.
It also shows that he stayed at the store and the bank for five and seven minutes respectively. After leaving the bank, he drove the remaining four blocks back home.
The graph also reveals that Connor was driving at a steady pace between the store and the bank and that the total journey time was twenty-two minutes. This time could have been reduced if he had driven faster. However, it is possible that he was being cautious due to the traffic or other conditions.
Overall, the graph provides a visual representation of Connor's journey and his decisions along the way. It also provides insight into his driving habits, as well as his ability to manage his time. Based on this data, it is clear that Connor was able to complete his errands in an efficient manner.
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If the domain of a relation is all whole numbers between 2.5 and 7.5, and the range contains 6 different values, can you determine whether the relation is a function? Explain your reasoning.
Answer: ahh.
Step-by-step explanation:
What is .622 as a percent
Answer:
62.2%
Step-by-step explanation:
0.622 x 100 = 62.2%
It takes Thorton 4 hours to edit a video for his school. If he has already spent 2.5 hours on this video, what percent of the video is edited?
Answer:
Step-by-step explanation:
62.5% is edited
A clock tower is 15 feet tall. How long is its shadow when the sun is at an altitude (angle above the horizon) of 60 degrees? Give your answer in feet.
The length of the shadow when the sun altitude is 60 degrees is 8.7 feet.
How to find the side of a right triangle?The clock tower is 15 feet tall. The length of the shadow when the sun is at an altitude of 60 degrees can be calculated as follows:
This situation forms a right angle triangle.
Hence, using trigonometric ratios,
tan 60 = opposite / adjacent
where
opposite side = 15 feet
adjacent side = x
tan 60 = 15 / x
cross multiply
x tan 60° = 15
divide both sides by tan 60
x = 15 / tan 60
x = 15 / 1.73205080757
x = 8.65800865801
x = 8.7 feet
Therefore,
length of shadow = 8.7 feet.
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