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3 years ago

All you need is on the photo

Mathematics

1 answer:

mariarad [96]3 years ago

5 0

Answer:

$4^{-3}$

Step-by-step explanation:

$We\ are\ given\ that,\\4^4*4^{-8}*4\\We\ know\ that,\ for\ any\ real\ number\ n, n^a*n^b=n^{(a+b)}\\Hence,\\First,\ lets\ write\ all\ the\ terms\ in\ an\ exponential\ form.\\4^4*4^{-8}*4^1\\=4^{(4+(-8)+1)}\\=4^{(5-8)}\\=4^{-3}$

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The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi

Elan Coil [88]

Answer:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

Step-by-step explanation:

For this case we have the following info given:

Weight before diet 180 125 240 150

Weight after diet 170 130 215 152

We define the random variable $D = before-after$ and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And the deviation with:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And after replace we got:

$\bar D= 7, s_d = 13.638$

And the confidence interval for this case would be given by:

$\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1= 4-1=3$

For the 95% of confidence the value for the significance is $\alpha=0.05$ and the critical value would be $t_{\alpha/2}= 3.182$ . And replacing we got:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

6 0

3 years ago

The volume of a cone is 180 in3. find a function that models the height h of the cone in terms of its radius r.

12345 [234]

volume of a cone = (1/3)*pi*r^2*h
180 = pi(r^2)h
180/pi(r*2) = h

5 0

3 years ago

Solve in radians help plz

PIT_PIT [208]

I think we can use the identity sin x/2 = sqrt [(1 - cos x) /2]

cos x - sqrt3 sqrt ( 1 - cos x) /sqrt2 = 1

cos x - sqrt(3/2) sqrt(1 - cos x) = 1
sqrt(3/2)(sqrt(1 - cos x) = cos x - 1 Squaring both sides:-
1.5 ( 1 - cos x) = cos^2 x - 2 cos x + 1

cos^2 x - 0.5 cos x - 0.5 = 0

cos x = 1 , -0.5

giving x = 0 , 2pi, 2pi/3, 4pi/3 ( for 0 =< x <= 2pi)

because of thw square roots some of these solutions may be extraneous so we should plug these into the original equations to see if they fit.

The last 2 results dont fit so the answer is x = 0 , 2pi Answer

5 0

3 years ago

PLEASE ANSWER QUICK!!!!!!!!!!!!!!!!!!!!

Scilla [17]

two units to the left i think

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8 0

3 years ago

What two numbers multiply to -36 and add up to -9

Softa [21]

Answer:

-12,3

Step-by-step explanation:

-12×3=-36

-12+3=-9

3 0

3 years ago