Answer:
310339.1 in^3
Step-by-step explanation:
Volume=4/3*pi*r^3
Volume=4/3*pi*42^3
Volume=4/3*pi*74088
Volume=98784*pi
Volume=310339.0887
So the volume is about 310339.1 in^3
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.

Notice that if

, then

. Recall the definition of the derivative of a function

at a point

:

So the value of this limit is exactly the value of the derivative of

at

.
You have
Let the total number of questions in the math test be defined by the variable x.
Now, we know that Parker correctly answered 35 questions. These 35 questions make 70% of the total number of questions on his math test.
The information we have above can be expressed as an equation given below:
70% of x=35
This can be rewritten as:

Thus, to find the total number of questions we will have to isolate x.

Therefore, there were a total of 50 questions in the math test.