Her average in first three test = 89
This means, her total scores in first three test were = 3 x 89 = 267
Her average in four tests = 91
This means, her total scores in four tests are = 364
267 give the sum of first three test scores. and 364 give the sum of scores with fourth test adding in three tests.
So, subtracting 267 from 364 will give us the scores of Fourth test.
Scores of Fourth test = 364 - 267 = 97
Thus, Samantha's Claim is correct
Answer:
dh/dt = 0,07 ft/min
Step-by-step explanation:
The swimming pool has the shape of right circular cylinder, therefore its volume is
V(c) = π*x²*h
Where x is the radius of the base and h the height
We take differentiation on both sides of the equation to get:
dV/dt = π*x²*dh/dt
The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.
Then:
8 = π*x²*dh/dt
dh/dt = 8 / π*x²
dh/dt = 8/113,04
dh/dt = 0,07 ft/min
<span>Write a variable expression for the sum of a number w and 2:
w + 2</span>
Answer:
-7.
Step-by-step explanation:
At the point -4 the graph just touches the x axis ( as its an even power) but at x = -7 it crosses the x axis ( because of the odd power 5).
The graph rises from the left and pass through the x axis at (-7,0).
Answer:
A.2304
B.5625
C.6776
Step-by-step explanation:
The easiest way to show you is by using calculator. If you can't, try using Khan Academy if you want.
