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mixer [17]
2 years ago
12

Pls help and explain tyyy

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
3 0

Answer:

11) 195312

13) 5461

Step-by-step explanation:

11)

15÷(-3) = -5

(-75)÷15 = -5

375÷(-75) = -5

It’s clear that the common ratio of this geometric sequence is -5

Then using the sum formula for geometric sequences :

S_{11}=\left( -3\right)  \times \frac{1-\left(-5 \right)^{8}  }{1-(-5)} =-\frac{1}{2}\times(1-(-5)^8)=195312

……………………………………………………

13)

S_{13}=1\times \frac{1-4^{7}}{1-4} =-\frac{1}{3} \times(1-4^{7})=5461

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The probability that Nicolas will win is 7/8, since there is a 7/8 chance that he will get heads to appear once. That means that the probability that Manny will win is 1/8.

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(Day 11) Find the area of each shaded region. Round your answer to the
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yaroslaw [1]

The main identity you need is the double angle one for cosine:

\cos^2x=\dfrac{1+\cos2x}2

We get

\cos^6x=(\cos^2x)^3=\left(\dfrac{1+\cos2x}2\right)^3=\dfrac{(1+\cos2x)^3}8

Expand the numerator to apply the identity again:

\cos^6x=\dfrac{1+3\cos2x+3\cos^22x+\cos^32x}8

\cos^6x=\dfrac{1+3\cos2x+3\left(\frac{1+\cos2(2x)}2\right)+\cos2x\left(\frac{1+\cos2(2x)}2\right)}8

\cos^6x=\dfrac{1+3\cos2x+\frac32+\frac32\cos4x+\frac12\cos2x(1+\cos4x)}8

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Finally, make use of the product identity for cosine:

\cos2x\cos4x=\dfrac{\cos6x+\cos2x}2

so that ultimately,

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4 0
4 years ago
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Step-by-step explanation:

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Divide the entire equation by 5

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(I)             x + 3y = 15

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Plugin y = 3 in equation (I)

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x + 9 = 15

x = 15 - 9

x = 6

6 0
2 years ago
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