A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now. According to the model, which of the following gives the rate at which the population of the city will be changing at time t=5 ?
A) P(5)
B) P(6)−P(4)
C) P(5)/5
D) P'5

Answers

Answer 1

Answer:

D

Step-by-step explanation:

P prime of t indicates a rate of change

Answer 2

The required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Given that,
A city planner developed the function P to model the population of a city over the next 25 years, where P(t) is the projected population of the city t years from now.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
The rate of the population expression at t = 5 is given by the differentiation of the expression at t = 5 because differentiation represents the rate for the given equation of population. i.e.
P'5

Thus, the required expression that gives the rate of the population of the city will be changing at time t=5 is D) P'5. Option D is correct.

Learn more about the rate of change here: https://brainly.com/question/13103052

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Related Questions

What is the product?
2x(x-4)
O 2x² - 4
O zx²-8
2x?- 4x
2x² – 8x

Answers

It is the last one I learned it in math so that’s how I know

-5x²y²z + 7xy - x²y²z - 5xy

Answers

The answer is -6x^2 y^2 z+ 2xy.

Answer:

-5x²y²z + 7xy - x²y²z - 5xy

Step-by-step explanation:

You want to buy some noodles. A 9-ounce package costs $3.24. A 12-ounce package costs $4.20. A 20-ounce package costs $7.60. Which package is the best buy?

Answers

Answer:

9oz  

Step-by-step explanation:

It's still a good amount and cheaper than the rest.

A group of friends were working on a student film. They spent $546 on props,
which was 39% of their total budget. What was the total budget for their
student film?

Answers

Answer:

Spent=$546

Budget=100%

=39/100*546

Giving Brainliest/Correct Answer/MATH

Answers

what’s the question??

3.6 - 2 - 3 = 4x - 8
please helppp

Answers

Answer:

x=1.65

Step-by-step explanation:

First switch sides

4x-8=3.6-2-3

Then subtract 3.6 - 2 - 3

4x-8=-1.4

Add 8 to both sides

4x-8+8=-1.4+8

simplify

4x=6.6

Divide both sides by 4

4x/4 - 6.6/4

The simplify again

x=1.65

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find.

Answers

Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

[tex]a^{2}+c^{2}=b^{2}[/tex]

Or

[tex]b^{2}+c^{2}=a^{2}[/tex]

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. [tex]a^{2}+c^{2}=b^{2}[/tex]

Substitute in the given values;

[tex]a^{2}+(10)^{2}=(24)^{2}[/tex]

[tex]a^{2}+100=576[/tex]

[tex]a^{2}=476[/tex]

a=[tex]\sqrt{476}[/tex]

a~21.8

2.[tex]b^{2}+c^{2}=a^{2}[/tex]

Substitute in the given values;

[tex](24)^{2}+(10)^{2}=a^{2}[/tex]

[tex]576+100=a^{2}[/tex]

[tex]676=a^{2}[/tex]

[tex]26=a[/tex]

A collector has 100 movie posters and 80 band posters. She wants to sell 30 movie posters but still have her poster collection maintain the same ratio of 100:80. If she sells 30 movie posters, how many band posters should she sell? Complete the explanation to find out how many band posters she should sell.

Answers

Answer: 24 band posters should be sold

Step-by-step explanation:

First take the expression down to its simplest form;

= 5:4

Assume she sells 30 movie posters, her movies posters drop to;

= 100 - 30

= 70 movie posters

We need a number of band posters remaining that will give a ratio of 5:4 with movie posters.

In fraction form, the number of movie posters is;

= 5/9 because 9 would be the total number of both movie posters and band posters.

Create an expression to find the total number of posters if 70 are movie posters;

5/9x = 70

x = 70 ÷ 5/9

x = 126 posters

Number of band posters that should be left are;

= 126 - 70

= 56

Number of band posters that should be sold;

= 80 - 56

= 24 posters

The new ratio would be 70:56.

what is the slope that passed through the points (-3, -9) and (22, -4)? Write your answer in a simplest form

Answers

Answer:

साहस को सलाम पाठ/अरुणिमा सिन्हा कहां बैठी थी

Step-by-step explanation:

I hope you understand

Heres a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

Y=[tex]\frac{1}{3}[/tex]X-4

Step-by-step explanation:

Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.

Thus, using that information, we substitute this into the equation to get

y= (1/3)x - 4


1. Marcus needs to bike at least 80 miles this
week for his training. If he has already biked 25
miles this week, then how many miles should he
bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:

Please help fast I will give brainliest! :)

Answers

He should ride 11 miles on each of the other 5 days. 11 times 5 equals 55 + 25 = 80.

1+1=???? PLEASE HELP ILL MARK BRAINLIEST

Answers

Answer:

The answer to your extremely difficult question is 2.

Step-by-step explanation:

I hope this helps!!!! Please Mark me Brainliest!!!

Answer:

UMMMMM THIS IS HARD WAIT THIS TAKES ALOT OF THINKING

ITS 11

Step-by-step explanation:

U putt 2 ones together to get 11

big brain

The equation

24x2+25x−47
ax−2
=−8x−3−53
ax−2
is true for all values of x≠2/a
where a is a constant.

What is the value of a?

A) -16
B) -3
C) 3
D) 16

Answers

Answer:

Either A or C I think, Good luck!!!

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

24x2+25x−47=(−8x−3)(ax−2)−53

then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The final answer is B.

Which expression below represents "the sum of a number, m and two?" *
5 points

Answers

Answer:

Step-by-don't know step explanation:

What is the inverse of the function f(x) = 4x + 8?

Answers

The answer is 1/2x-2. The first one is correct.

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

whats the mean of the following numbers : 74, 75, 80, 76, 75, 81, 78​

Answers

Answer:

The mean is 77.

Answer:

The mean of this equation is 77

Step-by-step explanation:

74+75+80+76+75+81+78​-539

Number of terms=7

539/7=77

A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?​

Answers

Answer:

2.5%

Step-by-step explanation:

A simple interest of Ghc 37,500.00 is earned on an amount of Ghc 500,000.00 for three years. Find the rate of interest per annum?

The formula for Rate of Interest in a simple interest is given as:

r = (1/t)(A/P - 1)

Where

t = time in years = 3 years

P = Principal = Initial amount invested = Ghc 500,000.00

A = Amount after t years =

Principal + Simple Interest

= Ghc 500,000.00 + Ghc 37,500.00

= Ghc 537,500.00

Hence:

The rate of interest = (1/3) × (Ghc 537,500.00/Ghc 500,000.00 - 1)

= r = 0.025

Converting r decimal to R a percentage

R = 0.025 × 100 = 2.5%/year

Therefore, the rate of interest per annum is 2.5%

Derrick is able to type 90 words in 18 minutes. How many words is he able to type in 9 minutes ​

Answers

Answer:

45 words in 9 minutes

Step-by-step explanation:

90/18= 5 words per minutes

5*9= 45

Solve for x
Y= x-v/b

Answers

Answer:

x=y+v/b

Step-by-step explanation:

So first you have y=x-v/b. You want to isolate x, so subtract x from both sides. You'll get -x+y=-v/b. Next, you're going to want to subtract y to further isolate x now that it's on the left side. Now you'll have -x=-y-v/b. But you don't want x to be negative, so you can divide both sides by -1 to make x positive. Now you'll have x=y+v/b.

7 + 2 (a -3) = -9
What is the answer do this?

Answers

Answer:

7+2(a-3)=-9

a= -5

Step-by-step explanation:

7+2(a-3)=-9

Distribute 2 through the parentheses

Example: 7+2a-6=-9

Next: 7+2a-6=-9

Subtract the numbers

1+2a=-9

Move constant to the right hand side and change its sighn 2a=-9-1

2a=-9-1

Calculate the difference

2a=-10

Divide both sides of the equation by 2

Answer: a=- -5


What is the difference of the fractions? Use the number line to help find the answer.
LE
13
54
|
1
16
18
120
14
120
to
다.
-
0
11
10
10
20 20
20 20 2020
x
20
0

Answers

Answer:

Option 'b' i.e. -11/20 is the correct option.

Thus,

[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]

Step-by-step explanation:

Given the expression

[tex]\frac{1}{5}-\frac{3}{4}[/tex]

Determining the difference of the fractions

[tex]\frac{1}{5}-\frac{3}{4}[/tex]

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]

Apply the fraction rule:  [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]

          [tex]=\frac{4-15}{20}[/tex]

Add the number: 4-15 = -11

           [tex]=\frac{-11}{20}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]

            [tex]=-\frac{11}{20}[/tex]

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]

I 3) A store is holding a promotion. Every fourth customer receives a free key chain and every sixth customer receives a free magnet. Which customer will be the first to receive both a key chain and a magnet?​

Answers

Answer:

The 12th Customer

Step-by-step explanation:

The LCM of 4 and 6 is 12, as 4x3=12 and 6x2=12

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time

Answers

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

What is an advantage of portrait orientation for portrait photography (photos of people)?

The composition shows more context.
The composition places attention on the foreground.
The composition minimizes the background.
All of the above

Answers

Answer:

all of the above

Step-by-step explanation:

The point of portrait orientation is to make it so the picture focuses on the person. In order to do this you need to minimize the background, place attention on the foreground, and show more context

Answer:

all of the above

Step-by-step explanation:

In a survey, 27% of the people chose salads over a meat dish. In all, 81 people chose salads. How many people were in the survey?

Answers

Answer:

300

Step-by-step explanation:

Let x be the number of people in the survey

81/x = 27%

81/x = 0.27

x = 81/0.27

x = 300

Which expression can be used to find the retail price of an item that was bought at wholesale for $112 and sold at a 40% markup?

Answers

Answer:

Your answer is D or $112 + 0.40($112)

Explanation:

I got it right on edge 2021

A singer and a producer each wrote songs for an upcoming album. The singer wrote 6 fewer than twice the number of songs that the producer wrote. They wrote a total of 54 songs. How many songs did the singer and producer wrote?

Answers

Answer:

The producer wrote 20 songs

The Singer wrote 34 songs

Step-by-step explanation:

Let

Number of songs the producer wrote = x

Number of songs the singer wrote = 2x - 6

Total songs written by singer and the producer = 54

54 = x + (2x - 6)

54 = x + 2x - 6

54 + 6 = 3x

60 = 3x

Divide both sides by 3

x = 60/3

= 20

x = 20 songs

Number of songs the producer wrote = x = 20 songs

Number of songs the singer wrote = 2x - 6

= 2(20) - 6

= 40 - 6

= 34 songs

The producer wrote 20 songs

The Singer wrote 34 songs

Please give the correct value of c.​

Answers

Answer:

Step-by-step explanation:

C equals x^2 plus 8x

I WILL GIVE YOU BRAINLY PLSS

2.2x – 3.408 ≥ 29.504
A. x ≤ 12
B. x ≥ 12
C. x ≥ 14.96
D. x ≤ 14.96

PLSS SHOW YOUR WORK PLSS

Answers

Answer:

d

Step-by-step explanation:

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