Let X = science homework.
Then math homework would be 3x ( three times as long).
Now you have math plus science = 64 minutes:
x + 3x = 64
Combine like terms:
4x = 64
Divide both sides by 4:
x = 64 / 4
x = 16
He spent 16 minutes on science and 48 minutes on math.
Answer:
Step-by-step explanation:
Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.
The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.
The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).
The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320
(0+4)^3*(0-1)*k = 320
-64k = 320
k = -5
Combining all three conditions, f(x)
= -5(x+4)^3*(x-1)
= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)
= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)
= -5(x^4 + 11x^3 + 36x^2 + 16x -64)
= -5x^3 -55x^3 - 180x^2 - 80x + 320
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the box plot is not given. A general approach to the question, is as follows:
First, identify the 27 mark on the box plot.
Next, count the number of data less than 27.
Take, for instance, there are 6 dots or marks before 27;
This means that 6 bags contain less than 27 ounces
Volume of a cylinder is
, where r is the radius and h is the height.
This comes from the area of a circle being
. A cylinder is the area of the base circle multiplied by its height.
Using this formula, the volume of the given cylinder is
Answer:
D. 112
Step-by-step explanation:
Since we know that a triangle totals 180 degrees, we can easily figure out the third angle. Since each measure 34 degrees, simply multiply by 2. You get 68 degrees. Then you do 180-68 to get 112.
