Lily uses the function f(x)=23,000(1.021)x to model the future annual population growth of the city where she lives. Which of the following represents Lily's estimate of the population in 8 years?

3,395


23,483


27,160


187,864

Answer:

Function

Step-by-step explanation:

Since each x value corresponds to a single y value

Answer:

Volume = 0.59 m³

Surface Area = 3.93 m²

Step-by-step explanation:

Given :-

- Radius = 0.5 cm

- Height = 0.75 cm

To Find :-

- Volume

- Surface Area

Solving :-

Volume = πr²h

= 22/7 x (0.5)² x 0.75

= 22/7 x 1/4 x 3/4

= 66/112

= 33/56 m³

= 0.59 m³

Surface Area = 2πr (r + h)

= 2 x 22/7 x 0.5 (0.5 + 0.75)

= 22/7 x 5/4

= 110/28

= 55/14 m²

= 3.93 m²

Solution :-

Volume = 0.59 m³

Surface Area = 3.93 m²

Answer:

1. Formula for volume of a cylinder;

V = πr^2h

where pi is 3.14 or 22/7, r is the radius(0.5) which is squared, and h is the height

plug in the actual values;

V = πr^2h

V = 3.14 * 0.5^2 * 0.75

V = 3.14 * 0.25 * 0.75

V = 0.785 x 0.75

V = 0.58875^3 meters or 0.59^3 meters, is the volume. (round to whatever place they covet)

2. Formula for surface area of a cylinder;

SA = 2πr(r + h)

Plug in the actual values:

SA = 2πr(r + h)

SA = 2 x 3.14 x 0.5(0.5 + 0.75)

SA = 2 x 3.14 x 0.5(1.25)

SA = 2 x 3.14 x 0.625

SA = 3.925 meters or 3.93 meters is the surface area.

Answer:

5mph

Step-by-step explanation:

driver 1 is driving 45mph (7x6=45)

driver 2 is driving 50mph  (10x5=50)

Answer:

163.1 feets bicycle will move in 20 revolution

Step-by-step explanation:

Given:-

Then the radius will be 13 inch

Solution:-

One revolution = Perimeter of bicycle wheel

Perimeter of bicycle wheel :-

= 2πr

= 2×22/7×13

81.7 inch

Total feets the bicycle will travel If it turns 20

times :-

81.7×20

= 1634 inches

Distance covered in feets:-

1634/12

= 163.1 feets

Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , -7), let's recall the vertex is half-way between the focus point and the directrix.

so this horizontal parabola opens up to the left-hand-side, meaning that the "P" distance is a negative value.

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=-7\\ p=-9 \end{cases}\implies 4(-9)(x-0)~~ = ~~[y-(-7)]^2 \\\\\\ -36x=(y+7)^2\implies x=-\cfrac{1}{36}(y+7)^2[/tex]

Answer:

All parallelograms have 4 right angles.

All parallelograms have rotational  symmetry of  180°.

A rectangle is a parallelogram.

Step-by-stepStep-by-step explanation:

let me know if im wrong......have a good day!!!!  :)

Answer:

brrooo me too i hate bell work

Step-by-step explanation:

good luck tho

Answer:

8π inches or approximately 25.12 inches

Step-by-step explanation:

What's the circumference of a circle?

 ❖ The circumference of a circle is the distance around a circle.

How do we find the circumference of a circle?

 ❖ The formula to find the circumference of a circle is 2πr, where r =    

      radius. We can solve in terms of pi, or approximate pi to 3.14

Solving

or

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

See below.

Step-by-step explanation:

Hi there!

We are given a circle, and inside that circle, we know that the radius of that circle is 4 inches

We want to find the circumference of the circle.

The circumference (C) is essentially the perimeter of a circle; the formula for the circumference of a circle is 2πr (r is the radius, π is pi)

Since we know the radius, we can substitute that value into the formula

C=2πr, r=4

C=2π*4

C=8π

If you need the answer in terms of pi, then the answer is 8π inches. However, if you need a number, then substitute an approximation for π, which will usually be 3.14 or 22/7

Using 3.14 for example,

C=8*3.14=25.12 inches

Using 22/7 meanwhile,

C=8*22/7=25.14 inches  (rounded to the nearest hundredth)

So the answer is either 8π inches, 25.12 inches, or 25.14 inches (depending on how you need it approximated)

Either way, hope this helps!

See more on finding the circumference of a circle given the radius here: https://brainly.com/question/15882336

Answer:

-810

Step-by-step explanation:

I found the answer but this is correct for khan

Answer:

C = - 8

Step-by-step explanation:

[tex]f(x) = \frac{3}{2} x + c \\ \\ plug \: x = 6 \\ \\ f(6) = \frac{3}{2} \times 6 + c \\ \\ f(6) = 3 \times 3 + c \\ \\ f(6) = 9+ c \\ \\ \therefore \: 1 = 9 + c \: \{ \because \: f(6) = 1 \} \\ \\ 1 - 9 = c \\ \\ \huge \red{ \boxed{ c = - 8}}\\\\

f(c) =\frac{3}{2} c +(-8)\\\\

\huge \orange { \boxed{ f(c) =\frac{3}{2} c -8}} \\\\ [/tex]

Step-by-step explanation:

There is 1 adult for every 15 students. (I don't see any pictures of a graph)

Answer:

There is 1 adult for every 15 students

Step-by-step explanation:

Answer:

Nah

Step-by-step explanation:

Nah tbh I don't think so if I'm being honest

Answer:

Slope = 1/20

Step-by-step explanation:

Because every 1 second, she goes down 20 feet.

Answer:the answer is the pic

Step-by-step explanation:

hope this helps bye

Answer:

B. 5

Step-by-step explanation:

How it is 5 is because well if you look to the side you can easily see that the 3 is in the Thousands place so.. the 5 would most likely be in the Ten Thousands place. Your Welcome!

Explanation:

Refer to the place value chart shown below.

The 5 is in the ten-thousands place value.

There's not much else I can add to that explanation, but feel free to ask any other questions you may have.

Answer:

c = 3/5

Step-by-step explanation:

5c+16.5=13.5+10c

Subtract 5c from both sides:

13.5+5c=16.5

5c=3

c = 3/5

Answer:

156 miles

Step-by-step explanation:

For every inch, you will have 16 miles

So if you have 9 3/4 inches you can just multiply that with 16

9 3/4*16=156

Our answer is 156 miles

I tried but I kinda forgot to make your hair shorter. I got a little carried away.

Answer:

−

4x^2−3x−5

Step-by-step explanation:

Answer:

k = 6

Step-by-step explanation:

given x = - 2 is a root then substitute x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

- 6 + k = 0 ( add 6 to both sides )

k = 6

Answer:

k = 6

Step-by-step explanation:

since x = - 2 put x = 2 into the equation

(- 2)² + 5(- 2) + k = 0

4 - 10 + k = 0

-6 + k = 0

+6        +6

k = 6

Answer:900g

Step-by-step explanation:

150*6=900

Answer:

900 grams of flour

Since you already know that 150 grams of flour is used for one large egg

Just do 150×6 and that will give you the answer of 900.

I hope that helps :)

96 in² I think

Make the triangles into a rectangle, find the area and add it to the original square

Answer: 96 in²

Step-by-step explanation: The parallelogram is comprised of two triangles and one square. You could solve this one of two ways.

1) Find the area of the total parallelogram. The area is b*h, where b is the base and h is the height. The base will ALWAYS be the sum of whatever is on the bottom. In this model, we have 4" and 8", meaning b=12". Now, the height is 8" as seen by the vertical line connecting the top and bottom of the figure. 12 times 8 is 96 inches squared.

2) Find the area of the square and two triangles. The area of a triangle is 1/2*b*h, where b is the base (4") and h is the height (8"). Seeing as we have two triangles, we can do this twice, getting 0.5*4*8 + 0.5*4*8 (1/2 is the same as 0.5 btw). 32 inches squared is for the two triangles. Finally, you need to find the square. To review, the area of a square is s^2, so 8*8 is 64. 64+32 is 96 inches squared.

Answer:

D: -5,-2,1,5

R:10,11,4,

Step-by-step explanation:

The domain is the set of all the values of x.

The range is the set of all the values of y

Answer:

[tex]x=0[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5 - 3(x - 8) = -5x + 19[/tex]

To find the answer expand the equation, add/subtract on both sides, and simplify the expression.

[tex]-5 - 3(x - 8) = -5x + 19[/tex]
[tex]-5-3(x-8)=-3x+19[/tex]
[tex]-3x+19=-5x+19[/tex]
[tex]19-19=0[/tex]
[tex]19-19=0[/tex]
[tex]-3x=-5x[/tex]
[tex]-3x+5x=-5x+5x[/tex]
[tex]-3x+5x=2x[/tex]
[tex]2x=0[/tex]
[tex]2x\div2=x[/tex]
[tex]0\div2=0[/tex]
[tex]x=0[/tex]

Your answer is "x = 0."

Hope this helps.

Based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

A two-way frequency table shows grades for students in college and students in high school.

Let H represent being in high school and G represent the GPA above 3.0. To be an independent event, they must be,

[tex]P(H|G)=P(H)[/tex]

The conditional probability of event H, given that the G is occurred, can be calculated as,

[tex]P(H|G)=\dfrac{14}{40}\\P(H|G)=0.35[/tex]

Total students below 3.0 GPA are 60 and the total number of student are 100. Thus, the probability of being in high school is

[tex]P(H)=\dfrac{60}{100}\\P(H)=0.6[/tex]

Here, conditional probability [tex]P(H|G)[/tex] is not equal to the probability of being in high school.

Hence, based on the data in two-way frequency table, "being in high school" and "gpa above 3.0" are not independent events.

Learn more about the probability here;

https://brainly.com/question/24756209

Answer:

is this geometry. if it is then i can help you

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail \dfrac{NM}{NO}=\dfrac{KM}{KL}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{x}{7}=\dfrac{20}{2x}[/tex]

[tex]\\ \rm\rightarrowtail 2x^2=140[/tex]

[tex]\\ \rm\rightarrowtail x^2=70[/tex]

[tex]\\ \rm\rightarrowtail x=\sqrt{70}[/tex]

Given the amount Sarh has in her account, she would not have enough money to buy a car. I would advise she increases the amount of money in her account.

The formula for calculating future value:

FV = P (1 + r)^nm

$4250( 1 + 0.0149/4)^(4 x 4) = $4510.50

To learn more about future value, please check: https://brainly.com/question/18760477

Answer:

4

Step-by-step explanation:

By the triangle midsegment theorem, 2(YW)=VZ.

This means 2(7s)=s+52, meaning s=4.