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aliina [53]
3 years ago
14

Find the quotient of the quantity negative 40 times x to the 3rd power minus 12 times x to the 2nd power plus 16 times x all ove

r negative 4 times x.
Mathematics
2 answers:
nikitadnepr [17]3 years ago
8 0

Answer:

quotient is 10x^2+3x-4

Step-by-step explanation:

\frac{-40x^3-12x^2+16x}{-4x}

To find the quotient we divide each term by -4x

\frac{-40x^3}{-4x} =10x^2

Negative and negative becomes positive.

\frac{-12x^2}{-4x} =3x

\frac{-16x}{-4x} =-4

\frac{-40x^3-12x^2+16x}{-4x}=10x^2+3x-4

Taya2010 [7]3 years ago
5 0

-10x^2-3x+4

Hope this helps

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A population has a standard deviation of 5.5. What is the standard error of the sampling distribution if the sample size is 81?
VladimirAG [237]

Answer:

\sigma = 5.5

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution \bar X and for this case we know that the distribution is given by:

\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})

And the standard error would be:

\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}

And replacing we got:

\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611

Step-by-step explanation:

For this case we know the population deviation given by:

\sigma = 5.5

And we have a sample size of n =81. We want to estimate the standard error of the sampling distribution \bar X and for this case we know that the distribution is given by:

\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})

And the standard error would be:

\sigma_{\bar x}= \frac{\sigma}{\sqrt{n}}

And replacing we got:

\sigma_{\bar x}=\frac{5.5}{\sqrt{81}}= 0.611

4 0
3 years ago
Which model represents 2 x 0.9?
rjkz [21]

Answer:

<h2>Model B</h2>

Step-by-step explanation:

The model needs to show 1.8 because 2 x 0.9 = 1.8. Model B is the only model that shows this.

<em>Hope this helps</em>

5 0
3 years ago
Read 2 more answers
Help answer the question in the picture please.
Contact [7]

Answer:

Congruent and isometries.

Step-by-step explanation:

Congruent meaning the shape is still the same size and shape

(which is true because translations and rotations don't change size or shape)

And isometries because it is one way of mapping points to  a different location.

5 0
3 years ago
This quiz needs a reason and an answer
Len [333]

y = -13, 13

There are two answers because you are taking the square root of a number. If we go the other way, to check our work, (-13)^2 = 169 and (13)^2 = 169.

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
The population of deer forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 pe
jonny [76]

Answer:

<em>C. 3.8 years</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P(t)=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).

We have enough information to write the exponential model:

P(t)=800(1+0.2)^t

P(t)=800(1.2)^t

It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:

800(1.2)^t=1600

Dividing by 800:

(1.2)^t=1600/800=2

Taking logarithms:

t\log 1.2=\log 2

Dividing by log 1.2:

t=\frac{\log 2}{ \log 1.2}

Calculating:

t = 3.8 years

Answer: C. 3.8 years

6 0
3 years ago
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