If 5 inches represent 12 miles, how many inches represent 108 miles?

Answer:

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

[tex]f(x) = 8(4)^x[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

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

Required

Remove the h component

In a function, the h component is highlighted as:

[tex]f(x) = a^{x+h}[/tex]

So, we have:

[tex]f(x) = 2(3)^{x-2} + 2[/tex]

Split the exponents using the following law of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

[tex]f(x) = 2*\frac{3^x}{3^2} + 2[/tex]

[tex]f(x) = 2*\frac{3^x}{9} + 2[/tex]

[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]

The h component has been removed

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

Split the exponent using the following law of indices

[tex]a^{m+n} =a^m * a^n[/tex]

So, we have:

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

Express 4^2 as 16

[tex]f(x) = \frac{1}{2}(4)^x * 16[/tex]

Divide 16 by 2

[tex]f(x) = 8(4)^x[/tex]

Answer:

62

Step-by-step explanation:

x+37+81=180, x=62

Answer:

See explanation

Step-by-step explanation:

A. 4.8 divided by 0.6

= 4.8 / 0.6

= 8

b.0.48 divided by 0.06

= 0.48 / 0.06

= 8

c. 8.4 / 0.7

= 12

d. 0.84 divided by 0.07

= 0.84 / 0.07

= 12

e.4.5 divided by 1.5

= 4.5 / 1.5

= 3

f. 0.45 divided by 0.15

= 0.45 / 0.15

= 3

g. 14.4 divided by 1.2

= 14.4 / 1.2

= 12

h. 1.44 divided by 0.12

= 1.44 / 0.12

= 12

Answer:

V ≈ 263.9 units³

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here r = 6 and h = 7 , then

V = [tex]\frac{1}{3}[/tex] π × 6² × 7

   = [tex]\frac{1}{3}[/tex]π × 36 × 7

   = [tex]\frac{1}{3}[/tex]π × 252

   = 84 π

   ≈ 263.9 units³ ( to 1 dec. place )

Answer:

The answer is $26.7

Step-by-step explanation:yes

a pottery shop uses 493 pounds of clay each week. about

how many pounds of clay will the shop use in 36 weeks?

493*36= 17,748 pounds of clay

Answer: 58

Step-by-step explanation:

Answer: the answer is 58

you could've used calculator lol.

hope it's right.

Step-by-step explanation:

Answer:

D.) Bring in the computer and the criminal when they come to court.

It came in my test.

Answer: Is 2

2x2=4

4 divided by 2=2

Answer:

2

Step-by-step explanation:

si 2 × 2 se divide por 2, la respuesta es 2

Answer:

I don't see how to answer this. What graph?

Step-by-step explanation:

Answer:

The inequality that models the story is h < 16.

Step-by-step explanation:

The information provided states that Eduardo ONLY wants 16 hot dogs at most which means he doesn't want to cook anymore hot dogs than 16 of them. The line below the symbol means that it could also equal to that number which is what Eduardo also wants. Now that we know the inequality, we also need to graph it. All you need to do is plot the endpoint at 16 with an arrow pointing to the left. It also requires a closed circle because it doesn't mean just less than, don't forget, it means less than OR equal to. A closed circle just means to shade the dot by the way.

Answer: h < 16

Step-by-step explanation:

h (the number of hotdogs) has to be less or equal to 16

for the line do a closed circle on 16, and have the arrow go left

A23425

Step-by-step explanation:

Answer:

x = 65

x+x+10+40=180

2x+50=180

2x=130

x=65

Step-by-step explanation:

success

The sum of any tetracontadigon's interior angles is 7200 degrees.

Answer:

h=8ft

p=a

b=7ft

now,

h^2=p^2+b^2

8^2=a^2+7^2

64=a^2+49

64-49=a^2

√15=a

Step-by-step explanation:

7×2=14(+)

8×2=16=

32squared.

Answer: bag 1 40%

bag 2 25%

i think hope it helped

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Using the Secant and Chord intersection theorem we can say that:

(GE) (FE) = (CE) (DE)

(11 + 7) (7) = (2x - 7 + 9) (9)

(18) (7) = (2x + 2) (9)

126 = 18x + 18

108 = 18x

6 = x

Hope this helps!

Answer:

  -63a+14a+56-3a

= -52a+56

Here we need to use algebraic properties to simplify an expression, we will get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a = -52\cdot a + 56[/tex]

The mathematical property we need to use is the distributive property.

[tex]A\cdot (B + C) = A\cdot B + A \cdot C[/tex]

So we start with the expression:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a[/tex]

First, we use the distributive property in the first term so we get:

[tex]7\cdot (-9\cdot a + 2\cdot a + 8) - 3\cdot a \\\\= 7\cdot (-9)\cdot a + 7\cdot 2 \cdot a + 7 \cdot8 - 3\cdot a\\\\= -63 \cdot a + 14\cdot a + 56 - 3\cdot a[/tex]

Now we use the distributive property in the other way, we take "a" as a common factor:

[tex]-63 \cdot a + 14\cdot a + 56 - 3\cdot a\\\\= (-63 + 14 - 3)\cdot a + 56\\\\= -52\cdot a + 56[/tex]

Here we got the simplified expression.

If you want to learn more, you can read:

https://brainly.com/question/403991

Answer:

y=4x-1

Step-by-step explanation:

Answer:

y = 4x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (1, 3)

m = [tex]\frac{3+5}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 3 ) , then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 ← equation of line

Answer:

m is the slope and b is the y intercept

Answer:

87 feet^2

Step-by-step explanation:

area of the parking space not covered by the car = area of parking space - area covered by the car

area of parking space = area of a parallelogram = base x height = 19 x 9 = 171 feet²

Area of car = area of a rectangle = length x width 14 x 6 = 84 feet²

area of the parking space not covered by the car = 171 feet² - 84 feet² = 87 feet^2

Answer:

(9,-6)

(9,2)

(8,2)

(8,-6)

Step-by-step explanation:

To reflect something over the y axis all you have to do is change the sign of the X coordinate

which means that

(-9,-6) is (9,-6)

The other answers are

(9,2)

(8,2)

(8,-6)

Answer:

The answer is 4.6%

Step-by-step explanation:

$2.30 divided by $50 multiplied by 100.

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

Answer: Hey there do you have numbers of the sides or something in that form if not you will need to use a ruler measure height and width You only need to measure one Height and one width and then multiply those two for your answer. sorry i couldn't help more with your question.

Step-by-step explanation:

Answer:

there's not options :/ nobody can answer this

Answer:

32units

Step-by-step explanation:

by the what I'm seeing the bottom side is 16 and the 2 other sides are 8 respectively. so all you have to do is just add 16,8 and 8 again which will give you 32.

Answer:

32

Step-by-step explanation:

a + b + c = d

a=8 b=16 c=8

8+16+8=32

Answer:

Im not sure, but i think it's the bottom because there not working with negatives

Step-by-step explanation:

Don't put that as the answer tho, im not too sure.

Answer:

The second one

Step-by-step explanation:

Since it is (x - 9), an infinety is never negative because it is a continuously number so the second one is the most sensible answer

Hope this helps!

Answer:

Step-by-step explanation:

[tex]440.4 + 5\cdot(\frac12\cdot16\cdot20)=440.4+800=1240.4\ mm^2[/tex]