Answer:2^7 ≠ 7^2
Step-by-step explanation:
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2
The only factor is 2
7^2 = 7 * 7
The only factor is 7
Comparing the factors when written as a repeated multiplication,
2^7 and 7^2 have no common factor :
2^7 = 2 * 2 * 2 * 2 * 2 * 2 * 2 = 128
7^2 = 7 * 7 = 49
Answer:
(-8, 2)
Step-by-step explanation:
Start with (-3, 4). Subtract 5 units from -3, obtaining -8, and subtract 2 units from 4, obtaining 2: (-8, 2)
A = cost of 1 drink $12.75 + 4a $12.75 + $12.00 = $24.75
Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
Answer:
90% of the variation in the dependent variable is explained by the independent variable.
Step-by-step explanation:
We are given the following in the question:
coefficient of determination = 0.9
We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.
Coefficient of Determination:
- The coefficient of determination is a measure that explains and predicts the dependent variable.
- It explains the variation in the dependent variable caused by the independent variable.
- The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

Thus, 90% of the variation in the dependent variable is explained by the independent variable.