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4 years ago

GCF of 8x^8 and 28x^4

Mathematics

1 answer:

hichkok12 [17]4 years ago

8 0

8x^8=2*2*2*x*x*x*x*x*x*x*x
28x^4=2*2*7*x*x*x*x

GCF is the common group
GCF=2*2*x*x*x*x
GCF=4x^4

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100 POINTS <br> Evaluate the derivative of the function number 38

patriot [66]

Answer:

1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x

Step-by-step explanation:

f(x) = sin (tan^-1 (ln(x)))

u substitution

d/du (sin u) * du /dx

cos (u) * du/dx

Let u =(tan^-1 (ln(x))) du/dx =d/dx (tan^-1 (ln(x)))

v substitution

Let v = ln x dv/dx = 1/x

d/dv (tan ^-1 v) dv/dx

1/( v^2+1) * dv/dx

=1/(ln^2x +1) * 1/x

Substituting this back in for du/dx

cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x

We know that cos (tan^-1 (a)) = 1/ sqrt(1+a^2)

cos (tan^-1 (ln(x)) * 1/(ln^2x +1) * 1/x

1/ sqrt(1+ln^2(x)) * 1/(ln^2x +1) * 1/x

8 0

3 years ago

Read 2 more answers

As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho

Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

$n=p(1-p)(\dfrac{z_c}{E})^2$

, where p = prior estimate of population proportion.

E= Margin of error.

$z_c$ = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = $z_c=1.96$

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61

[∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

$n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2$

Simplify ,

$n=0.2379\times9604=2284.7916\approx2285$

Thus , we need to survey <u>2285</u> Americans .

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3 years ago

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4 years ago

Phillip write an integer that is less than -2 and greater than -3.5 Which integer did he write?

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The answer would be -4

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3 years ago

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How many ways are there to rearrange the letters ALIVE in such a way that the word EVIL is not contained in the resulting word

Sergio [31]

Answer: 118 combinations.

Step-by-step explanation:

In ALIVE we have 5 letters, rearranging it we have the possible options of:

5 options for the first letter.

4 options for the second letter, as one was already chosen for the first one

3 options for the third letter, as 2 were already chosen.

2 options for the fourth letter.

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The total number of combinations will be equal to the product of the numbers of options for each letter, then we have:

5*4*3*2*1 = 120 combinations.

And the combinations where the word EVIL is formed are:

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EVILA

2 combinations, then the total number of combinations such that the word evil is not formed are:

120 - 2 = 118 combinations.

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3 years ago