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vodka [1.7K]
4 years ago
9

WILL GIVE BRAINIEST! please answer all three questions

Mathematics
1 answer:
kirill115 [55]4 years ago
5 0

Answer:

First Picture: a + bi. -84 + 48i

Second Picture: I think 12\sqrt{11} < Exact form or Decimal form > 39.79949748

Third Picture: -1

Hope this helps! :)

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HEEELLLPPP!!!!!!!!! PLEEAASEEE!!!!!!!!
Ksivusya [100]

Answer:

Step-by-step explanation:

17.  (a^{m})^{n}=a^{m*n}\\\\a^{m}*a^{n}=a^{m+n}\\\\-3k^{2}*(4k^{5})^{3}=-3k^{2}*4^{3}*k^{5*3}\\\\ = -3k^{2}*64*k^{15}\\\\= (-3)*64*k^{2+15}\\\\= - 192k^{17}

19. \dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\dfrac{(-7p^{4})*(-8p^{5})}{2p^{3}}= \dfrac{(-7)*(-8)*p^{4}*p^{5}}{2p^{3}}\\\\\\=(-7)*(-4)*p^{4+5-3} \\\\= 28p^{6}\\

20)\dfrac{15a^{16}b^{11}}{(3a^{4}b^{2})^{3}}=\dfrac{15a^{16}b^{11}}{3^{3}*a^{4*3}*b^{2*3}}\\\\\\=\dfrac{15a^{16}b^{11}}{27*a^{12}*b^{6}}\\\\=\dfrac{5*a^{16-12}*b^{11-6}}{9}\\\\\\=\dfrac{5a^{4}b^{5}}{9}

4 0
2 years ago
Compare ratios and rates by finding equivalent ratios and rates with a common (select) . Make predictions by finding a common fa
tatuchka [14]

Answer:

  • Second term
  • Common factor

Step-by-step explanation:

Compare ratios and rates by finding equivalent ratios and rates with a common <em><u>second term</u></em> . Make predictions by finding a <em><u>common factor </u></em>and multiplying by it.

To compare ratios and rates favorably we need to find a common second term also to make predictions as well we need to find a common factor

8 0
3 years ago
If the hypotenuse is c=a√2, then 6=a√2. In inches, what is the value of a?
Aloiza [94]

The value of a is 3√2 inches if it is given that the hypotenuse is c = a√2 and 6 = a√2. This can be obtained by using Pythagoras' theorem.

<h3>Calculate the value of a:</h3>

This question can be solved using Pythagoras' theorem,

If in a right angled triangle, hypotenuse is the longest side of the triangle and always opposite to the angle 90°, height and base are the two shorter sides which are adjacent to the angle 90°.

If hypotenuse = c, height = a and base = b then,

⇒ hypotenuse² = height² + base²

⇒ c² = a² + b²

Here in the question it is given that,

  • Hypotenuse of the triangle is c = a√2
  • 6 = a√2 in inches ⇒ c = 6
  • Height and base is equal and both has the value of a ⇒ height = a and base = a

By using the Pythagoras' theorem we can write that,

⇒ hypotenuse² = height² + base²

⇒  6² =  a² + a²

⇒  36 =  2a²

By dividing both sides of the equation by 2,

⇒  18 =  a²

⇒  a² = 18

By taking square on both side of the equation,

⇒ a = 3√2 inches

Hence the value of a is 3√2 inches if it is given that the hypotenuse is        c = a√2 and 6 = a√2.

Learn more about Pythagoras' theorem here:

brainly.com/question/9005379

#SPJ1

3 0
2 years ago
Which equation shown below shows a linear relationship between x and y ?
KiRa [710]

Answer:

Its probably a because the ones with squared results in a u shape

5 0
3 years ago
A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i
alex41 [277]

Answer:

sample size if he uses a previous estimate of 32​% is 523

sample size if he does not use any prior​ estimates is 601

Step-by-step explanation:

estimate E = 4 percentage = 0.04

confidence Cl = 95% = 0.95

previous estimate p = 32% = 0.32

q = 1 - 0.32 = 0.68

to find out

size of sample

solution

first we calculate z value for 95% confidence E = 0.04 is 1.96

from probability P(-1.96 < z < 1.96) = 0.95)

here z = 1.96

so in 1st part size of sample we know

E = z × \sqrt{pq/n}

put all value E, z p and q and we get n

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.32×0.68

n = 523

sample size if he uses a previous estimate of 32​% is 523

now in 2nd part we take p = 0.5

so n will be

n = (z/E)² ×p×q

n = (1.96/0.04)² ×0.5×0.5

n = 601

sample size if he does not use any prior​ estimates is 601

6 0
4 years ago
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