Suppose that 6 people sitting in a enclosed room are each generating about 400 BTUs of body heat per hour. If the room is 20 ft × 15 ft × 10 ft, how many BTUs per cubic foot do they produce in 5 hours? A) 3 BTUs/ft3 B) 4 BTUs/ft3 C) 5 BTUs/ft3 D) 6 BTUs/ft3

 B) 4 BTUs/ft^3

Step-by-step:

For a cuboid of length L, width W and height H, the volume is:

V = L*W*H

In this case, we have:

L = 20ft

W = 15ft

H = 10ft

Then the volume of the room is:

V = 20ft*15ft*10ft = 3000 ft^3

Now we have 6 people, and each generate 400 BTUs per hour.

Then in total, they generate:

6*400 BTUs per hour

2400 BTUs per hour.

Now we want to find the BTUs per ft^3 produced in 5 hours.

Then if they generate 2400 BTUs per hour, in 5 hours they generate a total of:

5*2400 BTUs = 12000 BTUs

Now we take the quotient between the total BTUs and the volume of the room:

Q = (12000 BTUs)/(3000 ft^3) = 4 BTUs/ft^3

The correct option is B.

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )