Answer:
-8x^12
Step-by-step explanation:
When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.
-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:
-2^3x^12
You can simplify -2^3: -2 x -2 x -2 = -8
This leaves you with -8x^12
You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.
Answer:

<u>Circumference</u><u> </u><u>of </u><u>a </u><u>circle </u><u>is </u><u>given </u><u>by </u>
<u>
</u>
- Given - <u>Diameter</u><u> </u><u>of </u><u>circle </u><u>=</u><u> </u><u>1</u><u>0</u><u> </u><u>yards</u>

now ,
<u>substituting</u><u> </u><u>the </u><u>value </u><u>of </u><u>r </u><u>in </u><u>the </u><u>formula </u><u>of </u><u>circumference</u><u> </u><u>~</u>

hope helpful :D
Answer:
78%
Step-by-step explanation:
Given the stem and leaf plot above, to find the median percentage for boys in the German test, first, write out the data set given in the stem and leaf diagram as follows:
40, 46, 46, 47, 69, 70, [78, 78,] 79, 82, 87, 90, 90, 95
The median value is the middle value in the data set. In this case, we have an even number of data set which are 14 in number.
The median for this data set would be the average of the 7th and 8th value = (78+78) ÷ 2 = 156/2 = 78
Median for boys = 78%
The zeros for this function are -2, -1 and a double root of 0.
You can find this by first factoring the polynomial on the inside of the parenthesis. Polynomials like this can be factored by looking for two numbers that multiply to the constant (2) and add up to the second coefficient (3). The numbers 2 and 1 satisfy both of those needs and thus can be used as the numbers in a factoring.
x^2(x^2 + 3x + 2)
x^2(x + 2)(x + 1)
Now to find the zeros, we set each part equal to 0. You may want to split the x^2 into two separate x's for this purpose.
(x)(x)(x + 2)(x + 1)
x = 0
x = 0
x + 2 = 0
x = -2
x + 1 = 0
x = -1
The answer is 3 units down and one unit left.