Answer:
They are not equivalent.
Step-by-step explanation:
Before we solve the question, we need to know that from the laws of indices:
A^x x A^y = A^(x+y).
7 to the power of 8th power means 7^8
7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.
7 to the power of 3rd power means 7^3
7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.
Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.
Answer:

Step-by-step explanation:
We are given the following in the question:
Let the equation:

be the linear equation that represent temperature at an elevation x.
Temperature at 6000-foot level = 76 f

Temperature at 12000-foot level = 49 f

Solving the two equation, we get,

Thus, we can write the linear equation as:

Answer:
There is not enough information to compare the volume of the prisms.
Step-by-step explanation:
To find the volume of rectangular prisms, the length , width and height must be given. The volume of rectangular prisms is gotten by multiplying the three dimension: length, width and height which is expressed in cubic units. To compare the two volumes, the three dimensions must be given.
Hence, there is not enough information to compare.
Let x = red
Let 0.5x = green
Let (x) + (0.5x) = 1.5x = blue
Let 0.5(1.5x) = 0.75x = yellow
Let 0.75x + 4 = brown





Use this value to calculate the other required numbers.
red = 28
green = 0.5x = 0.5(28) = 14
blue = 1.5x = 1.5(28) = 42
yellow = 0.75x = 0.75(28) = 21
brown = 0.75x + 4 = 0.75(28) + 4 = 25