Answer:
3. 6
4. 9
5. 12
6. 15
Step-by-step explanation:
3. Use your knowledge of inverse functions to complete the flowchart. Then explain how
you determined your answer (use academic language for full credit). (2 points)
12
Function h
35
Inverse of
Function h
Inverse functions, in the most general sense, are functions that "reverse" each other. For example, if fff takes aaa to bbb, then the inverse, f^{-1}f−1f, start superscript, minus, 1, end
Please help me, thank you
Answer:
548km^2
Explanation:
if the surface area is 137 km, and then it has a dialation of 4, then all you need to do is multiply by 137 by 4, which equals 548. That means the surface area of cylinder B is 548 km^2. Hope that helps.
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies to make the maximum revenue
Answer:
The maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
The price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Step-by-step explanation:
From the question, we have:
x = −2000p + 4000 ..................... (1)
Where;
x = number of cookies sold
p = price of a cookie, p, and the
Revenue function (R) can therefore be obtained as follows:
R = px ……………………….. (2)
If we substitute equation (1) into (2), we will have:
R = p(−2000p + 4000)
R = −2000p^2 + 4000p ……………… (3)
Differentiating equation (3) with respect to p and set it equal to zero, we have:
−4000p + 4000 = 0
Solving for p, we have:
4000 = 4000p
p = 4000 / 4000
p = 1
Therefore, this implies the price Luci Lulu should sell the cookies to make the maximum revenue is $1.
Substituting p = 1 into equation (3), we have:
R = (−2000 * 1^2) + (4000 * 1)
R = (−2000 * 1) + (4000 * 1)
R = −2000 + 4000
R = 2000
This implies that the maximum revenue Luci Lulu can make selling cookies in one day is $2,000.
What is the slope of the line?
1
1/2
-2
2
Answer:
2
Step-by-step explanation:
The slope of the line is 2. The slope is rise over run, or change in y over change in x. So to find the slope count how much each value changes, in this graph y changes +2 and x changes +1. So the slope is 2/1 or just 2. One way to visually check the slope is to remember fraction slopes will make the line flatter and other whole numbers make the line steeper.
Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?
Using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
Translate the situation into algebraic equations.
Let y = Total cost x = number of sessionsEquation for total cost of the first plan:
y = 41x + 55
Equation for the total cost of the second plan:
y = 46x + 50
To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.
41x + 55 = 46x + 50
Combine like terms together41x - 46x = - 55 + 50
-5x = -5
x = 1
For a session, both plans will yield the same cost.
The cost 1 session will yield for both:
41x + 55 = 46x + 50
Plug in the value of x41(1) + 55 = 46(1) + 50
96 = 96
Therefore, using algebraic equations:
the number of sessions that will give same cost for both plans is: 1
the cost is: $96
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The area of a metal frame being built by a construction company can be represented by the function A(w)=4w2+34w , where represents the width in meters of the frame. What is the area of the frame in square meters when the width equals 1 meter?
Answer:
38 square meters
Step-by-step explanation:
Given:
A(w)=4w²+34w
The function represent the area of a metal frame being built by a construction company
What is the area of the frame in square meters when the width equals 1 meter?
Find A(w) when w = 1 meter
A(w)=4w²+34w
A(1) = 4(1)² + 34(1)
= 4 + 34
= 38 square meters
A(1) = 38 square meters
Due in thirty minutes pls help thx for the help
Answer: guys i cant be the only one who doesnt understand story questions.
Step-by-step explanation:
magan wants to ride his bicycle 30.4 miles this week. he has already ridden 4 miles if he rides for 4 more days what is the average number of miles he would have to ride each day to meet his goal?
The average number of miles he will ride each day to meet his goal is 6.6 miles
How to find the average number of miles she will ride?He wants to ride his bicycle 30.4 miles this week.
He has already ridden 4 miles.
He rides 4 more days.
Therefore, the average number of miles he would have to ride each day to meet his goal can be calculated as follows:
let
x = number of miles driven
Hence, the equation can be represented as follows;
4x + 4 = 30.4
Therefore,
4x + 4 = 30.4
4x + 4 - 4 = 30.4 - 4
4x = 26.4
x = 26.4 / 4
x = 6.6
Therefore, the average number of miles he will ride each day to meet his goal is 6.6 miles
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marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)
He made the mistake on line 1.
2x^2 - 8x + 5....move the 5 to the other side
2x^2 - 8x = -5....now divide by 2
x^2 - 4x = -5/2
x^2 - 4x + 4 = -5/2 + 4
(x - 2)^2 = -5/2 + 8/2
(x - 2)^2 = 3/2
x - 2 = (+-)sqrt 3/2
x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2
He made mistake on line 1.
Complete question -Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27
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Find the value of x so that the function has the given value. g(x)=8x-11;(x)=5
Answer:
29
Step-by-step explanation:
The point M,0 and p all lie on the same line segment, in that order, such that the ratio of MN : N0 : OP is equal to 1 : 3:1 if MP=40 find NP
Answer:
32
Step-by-step explanation:
Hope this will help:)
If the government imposes a minimum wage of $12, how many workers will be unemployed? 4,000 10,000 2,000 0
If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.
How many workers would be unemployed?If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.
This would lead to an unemployment rate of:
= 12,000 - 8,000
= 4,000 people
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Can you help me pleeeeaaassee??
Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC, Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1), Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.
Given: The diagram is given and we need to find the errors and then fix them. Also ΔTSR ≈ ΔTCD
Let's solve the given question:
Given that ΔTSR ≈ ΔTCD
So we know by the properties of the similarity that if two triangles are similar then the ratio of their corresponding sides is equal.
So, ΔTSR ≈ ΔTCD
=> RT / TD = ST / TC
=> 14 / 7 = 16 / (x - 1)
In the question, we can observe that the given side ratio is DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC.
The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).
The third error is the value of x.
We can find the correct value of x from the given equation:
14 / 7 = 16 / (x - 1)
=> 2 = 16 / (x - 1)
Multiplying both sides by (x - 1):
(x - 1) × 2 = 16 / (x - 1) × (x - 1)
=> 2(x - 1) = 16
Multiplying both sides by 1 / 2:
2(x - 1) × 1 / 2= 16 × 1 / 2
=> x - 1 = 8
Adding 1 on both sides:
x - 1 + 1 = 8 + 1
x = 9
Therefore x = 9.
Hence the errors are:
Error 1: DT / TS × CT / TR which is the first error. We can fix the error by writing the correct equation RT / TD = ST / TC
Error 2: The second error is 7 / 16 × (x - 1) / 14 and we can fix the error by writing the equation 14 / 7 = 16 / (x - 1).
Error 3:The third error is the value of x and we can find the correct value of x from the equation 14 / 7 = 16 / (x - 1) and the value of x is 9.
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who proposed that a punched card be used for counting the census?
Herman Hollerith proposed the use of punched cards for counting the census.
The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.
Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.
Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.
In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.
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Dog breeds 2238 pages in seven hours he reads the same number of pages each hour how many pages did he read in one hour
Answer:
319 pages and a half
Step-by-step explanation:
Abe makes $18.50 per hour. He works 40 hours a week. He is considering renting an apartment that will cost $1,500 per month. What is the difference between his recommended rent amount and the cost of this apartment (round to the nearest dollar)?
Answer:
os(390) sin(330) csc(60)
Step-by-step explanation:
Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
What is an equation of the line that passes through the points (-2, 7)(−2,7) and (-8, 4)(−8,4)?
Answer:y=1/2x+8
Step-by-step explanation: You find the slope using the equation
m= y2-y1/x2-x1= 1/2
and then you use point-slope form y-y1=m(x-x1)
There are 4 consecutive odd integers that have a sum of -8. What is the least of theseintegers?
Odd integers are:
1, 3, 5, ...
They are spaced "2" units apart.
So,
if the first odd number is "x",
the next is "x + 2"
the third one is "x + 2 + 2"
the fourth one is " x + 2 + 2 + 2"
Thus, the four consecutive odd numbers are:
\(\begin{gathered} x \\ x+2 \\ x+4 \\ x+6 \end{gathered}\)We sum the expressions and equal to -8. Then solve for x:
\(\begin{gathered} x+x+2+x+4+x+6=-8 \\ 4x+12=-8 \\ 4x=-8-12 \\ 4x=-20 \\ x=-\frac{20}{4} \\ x=-5 \end{gathered}\)So,
This is the least integer out of the 4:
x = - 5Find the sum by suitable rearrangement 163+432+237+548
Answer:1380
Step-by-step explanation:
⚠️❗️⚠️❗️⚠️❗️10 POINTS, PLEASE HELP ASAP. I NEED THE ANSWER TO THE PROBLEM ANSWERED BELOW ⚠️❗️⚠️❗️⚠️❗️
What is the area❓ No links or troll answers you’ll be reported
Answer:
103
Step-by-step explanation:
Find the area of the rectangle on the top
A = 7*13 = 91
Now find the area of the rectangle on the bottom
13 - (5+5) = 3
11-7 = 4
The dimensions of the bottom rectangle are 3 by 4
A = 3*4 = 12
The total area is 91+12 = 103
Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =\(\frac{33}{100}\)=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
\(=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\\)= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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ricardo runs 10 miles on saturday. if he doubles his uusual speed, he can run 10 miles in an hour less than his usual time. What is his usual speed
If he runs at his usual speed for 10 miles, it would take him 10/x hours. Ricardo's usual speed is 5 miles per hour.
Let's assume Ricardo's usual speed is "x" miles per hour.
If he runs at his usual speed for 10 miles, it would take him 10/x hours.
If he doubles his usual speed, his new speed would be 2x miles per hour. Running at this speed for 10 miles, he can complete the distance in (10/2x) = (5/x) hours.
According to the given information, he can run 10 miles in an hour less than his usual time. So, we can set up the equation:
10/x = 5/x + 1
To solve this equation, we can multiply both sides by x to eliminate the denominators:
10 = 5 + x
Subtracting 5 from both sides:
x = 5
Therefore, Ricardo's usual speed is 5 miles per hour.
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rectangle wxyz is dilated by a scale factor of 3 3 to form rectangle w'x'y'z'. side z'w' measures 99 99. what is the measure of side zw
The measure of side ZW in rectangle WXYZ is 33.
It is mentioned that rectangle WXYZ is dilated by a scale factor of 3 to form rectangle W'X'Y'Z'. Side Z'W' measures 99. We need to find the measure of side ZW.
To find the measure of side ZW, we need to use the scale factor. Since the rectangle was dilated by a scale factor of 3, we can divide the measure of side Z'W' by the scale factor to find the measure of side ZW.
Identify the scale factor, which is 3.
Identify the measure of side Z'W', which is 99.
Divide the measure of side Z'W' by the scale factor: 99 ÷ 3 = 33.
So, the measure of side ZW in rectangle WXYZ is 33.
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4 + 5x-x + 19 simplify expressions using like terms
3. Milo is displaying 20 framed photos on shelves. He wants the same number of photos on each shelf. He has up to 4 shelves to use. How can he arrange the photos?
Answer:
milo can put 5 framed photos on each shelf
Step-by-step explanation:
4÷20=5
Write a positive or negative integer that represents the situation.
An airplane climbs to 37,500 feet.
Positive 37,000 feet.
Step-by-step explanation:
What is the center of the circle for this equation:
(x - 1)² + (y + 4)² = 25
Answer:
(1, -4)
Step-by-step explanation:
how much money will it cost you to drive 100.0 miles if your car gets 25.70 miles per gallon and gas costs $3.309/gallon?
It will cost $12.87 for driving 100 miles.
Based on the given problem, we have identified the given information as follows:
25.70 miles per gallon100 miles as the distance traveled by car$3.309 as the cost of gasoline per gallonThen, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula
\(C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon\)
By substituting the given to the variable given in the formula above, we have,
\(C = \frac{100}{25.70} * 3.309\)
C = $ 12.87
The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.
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Order the numbers from least to greatest.
23% , 1/4 , 0.225 .