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lora16 [44]
3 years ago
14

Write the following factors using an exponent.

Mathematics
2 answers:
PolarNik [594]3 years ago
6 0
It is B) 1002  
 your welcome:)


            
masha68 [24]3 years ago
3 0
The point of an exponent is to show how many times something is multiplied together.  Since it is multiplied twice, the answer is 100^{2}
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Simplify. (-2y^3)^3(-3x^2yz^2)^3
Alik [6]

=-8y^9*-27x^6y^3z^6

=216x^6y^12z^6

6 0
3 years ago
Your boss tells you that she knows the length of the widgets your company makes is normally distributed with a mean of 25 inches
sp2606 [1]

Answer:

Mean of sampling distribution = 25 inches

Standard deviation of sampling distribution = 4 inches

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 25 inches

Standard Deviation, σ = 12 inches

Sample size, n = 9

We are given that the distribution of length of the widgets is a bell shaped distribution that is a normal distribution.

a) Mean of the sampling distribution

The best approximator for the mean of the sampling distribution is the population mean itself.

Thus, we can write:

\bar{x} = \mu = 25\text{ inches}

b) Standard deviation of the sampling distribution

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{12}{\sqrt{9}} = 4\text{ inches}

8 0
3 years ago
The slope of the the tangent line to a curve at a point. Calc derivative help
pickupchik [31]

Answer:

y = 108x + 216

Step-by-step explanation:

given

y = 4x³ then \frac{dy}{dx} = 12x² = m_{tgt}

x = 3 ⇒ m = 12(- 3)² = 108

equation of tangent in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept ), hence

y = 108x + b

To find b substitute (- 3, - 108) into the equation

- 108 = -324 + b ⇒ b = - 108 + 324 = 216

y = 108x + 216 ← equation of tangent

5 0
3 years ago
What is the quotient in polynomial form?
charle [14.2K]

Answer:

Step-by-step explanation:

We are given the polynomial x^3+2^2-2x+3 and we are dividing by (x+3). So by performing one step of synthetic division we get

1 2 -2 3|-3

 -3 3 -3

1 -1 1   0

So the quotient in polynomial form is x^2-x+1

8 0
3 years ago
Find the x and y intercepts of the following function.<br> g(x)=x^2-5x-84
Ahat [919]

Answer:

see explanation

Step-by-step explanation:

To find the y- intercept let x = 0 in the function

g(0) = 0 - 0 - 84 = - 84 ← y- intercept

To find the x- intercepts let y = 0, that is

x² - 5x - 84 = 0

To factor the quadratic

Consider the factors of the constant term (- 84) which sum to give the coefficient of the x- term

The factors are - 12 and + 7, since

- 12 × 7 = - 84 and - 12 + 7 = - 5, thus

(x - 12)(x + 7) = 0

Equate each factor to zero and solve for x

x - 12 = 0 ⇒ x = 12

x + 7 = 0 ⇒ x = - 7

x- intercepts are x = - 7 and x = 12

8 0
3 years ago
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