The population of a city grew from 23,000 in 2010 to 25,000 in 2015.
a. What was the average rate of change during this time interval?
Type the answer in the box below.

Answer:

I think its 6

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

5=2x+1

5-1=2x

2x=4

x=2

Answer:

x = 2

Step-by-step explanation:

2x+1 = 5

    -1   -1

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2x = 4

x = 2

hope this helps! :D

have a miraculous day, and brainliest is immensely appreciated!! <3

Answer:

x = 5

y = -4

Step-by-step explanation:

Answer: I need the map good sir please show it

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 AND 4

Answer:

mean = 4.5

SD = 1.2

Z value = (3-4.5)/1.2 = - 1.25

Percentage based on z value = 1 - pnorm(1.25) =  0.1056498 = 10.56498%

The response times under 3 minutes is 10.56%

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

mean = 4.5

SD = 1.2

Z value = [tex]\frac{3 - 4.5}{1.2}[/tex] = - 1.25

Percentage based on z value = 1 - pnorm(1.25)

                                                 =  0.1056498

                                                 = 10.56498%

Hence, we can conclude that the response time of fire station under 3 minutes is 10.56%.

Learn more about normal distribution here: https://brainly.com/question/11876263

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Answer:

19/18

Step-by-step explanation:

substitute the value of m(11/6) in m-7/9

which is equal to 11/6 -7/9 =19/18

Answer:

Angle 6

Step-by-step explanation:

They are both the same angle size

Answer:

Angle 1

Step-by-step explanation:

Refer to the attached picture

Answer:

The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.

Step-by-step explanation:

The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.

A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.

In the question, we are asked to identify the option that best describes an exponential decay.

We assess each option and try to identify the exponential decay among them.

Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.

Learn more about exponential functions at

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Answer:

Step-by-step explanation:

g(x) = -2f(x)

Vertical stretch                       by virtue of the factor 2

Reflection over the x-axis      by virtue of the factor -1

The transformations which must be applied to function F to produce the graph of function g are vertical stretch and reflection over the x-axis.

To transform the function f(x)=12ˣ into the function  g(x)=−2(12)ˣ

Since g(x) is multiplied by -2 compared to f(x), this represents a vertical compression.

The absolute value of the multiplier indicates the degree of compression/stretch.

The negative sign in front of 2(12)ˣ in g(x) reflects the graph over the x-axis. This means that the graph of g(x) is reflected below the x-axis compared to f(x).

Hence, vertical stretch and reflection over the x-axis are the transformations which must be applied to function F to produce the graph of function g.

To learn more on Graph transformation click here:

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Answer:

a

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.shshs

Answer:

3/5

Step-by-step explanation:

3/5 pet is the exact fraction of pet that each student will have.

18 pets out of 30 students

= total pets divided by total students that would be 18/30

Simplifying 18/30 would make

9/15 first and then 3/5

So 3/5 is the answer

Answer:

125

Step-by-step explanation:

Answer:

25 kilograms

Step-by-step explanation:

Answer:

A is the correct solution

Step-by-step explanation:

     3x³ + 4x² + 0x - 1  /  x - 2

             3      10    20

-2 | 3       4       0    -1

 -  (3      -6)

             10       0

      -     (10    -20)

                      20    -1

                 -   (20  -40)

                              39

3x² + 10x + 20 + 39/(x - 2)

Answer:

88% decrease

Step-by-step explanation:

3 is only 12% of 25 so there was a 88% decrease

Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

Answer:

y = -3

Step-by-step explanation:

3x + 4y = 3

2x - 4y = 12

5x       = 15       Add the two equation together because the y terms are

                       opposite each other and goes out when you add the equations

x = 5

Substitute into the first equation and solve for y when x = 5

 3x + 4y = 3

3(5) + 4y = 3

 15 + 4y = 3

    4y = 3 - 15

    4y =  -12

      y = -3  

Answer:

15 marker's

Step-by-step explanation:

37+24=61

61÷4=15.25

because she wants an even number of makers the answer is 15.

Answer:

The equation would be y=2x+3 I am pretty sure

Step-by-step explanation:

This is because you take the slope which is 2 from the line y=-1/2x-6. To find the slope perpendicular to the line, you need to find the exact opposite of the slope: -1/2, and in this case, it would be 2.

(Ex: if it was -3/4, you would need to use a slope of 4/3 since it is the opposite)

Then you take that slope (2) and the point (0, 3) and put it into "y-y1=m(x-x1)"

y-y1=m(x-x1)

y-3=2(x-0)

-distribute the 2-

y-3=2x-0

-add 3 on both sides-

so equation would be y=2x+3

Not sure if this is all correct, but I hope it helps! :)

Answer:

Step-by-step explanation:

A = ½(b₁ + b₂)h

b₂ = 2A/h - b₁

b₂ = 2(58)/4 - 12

b₂ = 17 ft

Answer:

See below

Step-by-step explanation:

I assume the function is [tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

A) The vertical asymptotes are located where the denominator is equal to 0. Therefore, [tex]x=0[/tex] is the only vertical asymptote.

B) Set the first derivative equal to 0 and solve:

[tex]f(x)=1+\frac{5}{x}-\frac{4}{x^2}[/tex]

[tex]f'(x)=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-\frac{5}{x^2}+\frac{8}{x^3}[/tex]

[tex]0=-5x+8[/tex]

[tex]5x=8[/tex]

[tex]x=\frac{8}{5}[/tex]

Now we test where the function is increasing and decreasing on each side. I will use 2 and 1 to test this:

[tex]f'(2)=-\frac{5}{2^2}+\frac{8}{2^3}=-\frac{5}{4}+\frac{8}{8}=-\frac{5}{4}+1=-\frac{1}{4}[/tex]

[tex]f'(1)=-\frac{5}{1^2}+\frac{8}{1^3}=-\frac{5}{1}+\frac{8}{1}=-5+8=3[/tex]

Therefore, the function increases on the interval [tex](0,\frac{8}{5})[/tex] and decreases on the interval [tex](-\infty,0),(\frac{8}{5},\infty)[/tex].

C) Since we determined that the slope is 0 when [tex]x=\frac{8}{5}[/tex] from the first derivative, plugging it into the original function tells us where the extrema are. Therefore, [tex]f(\frac{8}{5})=1+\frac{5}{\frac{8}{5}}-\frac{4}{\frac{8}{5}^2 }=\frac{41}{16}[/tex], meaning there's an extreme at the point [tex](\frac{8}{5},\frac{41}{16})[/tex], but is it a maximum or minimum? To answer that, we will plug in [tex]x=\frac{8}{5}[/tex] into the second derivative which is [tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]. If [tex]f''(x)>0[/tex], then it's a minimum. If [tex]f''(x)<0[/tex], then it's a maximum. If [tex]f''(x)=0[/tex], the test fails. So, [tex]f''(\frac{8}{5})=\frac{10}{\frac{8}{5}^3}-\frac{24}{\frac{8}{5}^4}=-\frac{625}{512}<0[/tex], which means [tex](\frac{8}{5},\frac{41}{16})[/tex] is a local maximum.

D) Now set the second derivative equal to 0 and solve:

[tex]f''(x)=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=\frac{10}{x^3}-\frac{24}{x^4}[/tex]

[tex]0=10x-24[/tex]

[tex]-10x=-24[/tex]

[tex]x=\frac{24}{10}[/tex]

[tex]x=\frac{12}{5}[/tex]

We then test where [tex]f''(x)[/tex] is negative or positive by plugging in test values. I will use -1 and 3 to test this:

[tex]f''(-1)=\frac{10}{(-1)^3}-\frac{24}{(-1)^4}=-34<0[/tex], so the function is concave down on the interval [tex](-\infty,0)\cup(0,\frac{12}{5})[/tex]

[tex]f''(3)=\frac{10}{3^3}-\frac{24}{3^4}=\frac{2}{27}>0[/tex], so the function is concave up on the interval [tex](\frac{12}{5},\infty)[/tex]

The inflection point is where concavity changes, which can be determined by plugging in [tex]x=\frac{12}{5}[/tex] into the original function, which would be [tex]f(\frac{12}{5})=1+\frac{5}{\frac{12}{5}}+\frac{4}{\frac{12}{5}^2 }=\frac{43}{18}[/tex], or [tex](\frac{12}{5},\frac{43}{18})[/tex].

E) See attached graph

Answer:

4

Step-by-step explanation:

Think about the ratio between the current number of large bottles of soda(8) and the current number of jugs of water (12)

By finding the GCF (Greatest Common Factor) of the two numbers, we can conclude that if both numbers were to be divided by the GCF, 4, we would get a 2:3 ratio.

For every 2 bottles of soda, 3 jugs of water will be placed. Keep doing this until we run out of both sources of liquid, in this case, 4 tables where we would use all the bottles of soda and the jugs of water.

Answer:

14/10

OR

7/5

Step-by-step explanation:

(7*2)/(2*5) = 14/10

(14/2) / (10/2) = 7/5

Answer:

Mixed fraction: 1 2/5

Decimal form: 1.4

Hope this helps :)

x ≤  3 (closed dot going to the left)