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MariettaO [177]
2 years ago
14

What is the period of the function f(x) = -4 cos(5x-9) - 7? Give an exact value. units

Mathematics
2 answers:
ehidna [41]2 years ago
5 0

Answer:

2pi/5

Step-by-step explanation:

The only thing in this equation that affect the period is the '5' in front of the 'x'

cos period is usually 2pi

 this is compressed by 5    

    period = 2pi/ 5

N76 [4]2 years ago
4 0

General equation

  • y=Acos(Bx+C)+D

Our Equation

  • y=-4cos(5x-9)-7

On comparing

  • A=-4
  • B=5
  • C=-9
  • D=-7

Now

Period

  • 2π/B
  • 2π/5
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An SRS of 450 450 high school seniors gained an average of ¯ x = 20 x¯=20 points in their second attempt at the SAT Mathematics
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Answer: (15.47, 24.53)

Step-by-step explanation:

We know that the confidence interval for population mean is given by :_

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Given : n= 450

\overline{x}=20

\sigma=49

Critical value for 95% confidence = z*=1.96     [From z-value table]

Then, the 95% confidence interval will be :-

20\pm (1.96)\dfrac{49}{\sqrt{450}}

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3 years ago
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5 0
3 years ago
Ebi, Jose, Derell, and Asami measured their heights. Ebi's height was 2.5 cm greater than Jose's height. Jose's height was 3.1 c
irga5000 [103]
Start with assigning each person with a variable to represent their height

Ebi: e
Jose: j
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Asami: a

Ebi'd height was 2.5 cm greater than Jose's height

j + 2.5 = e

Jose's height was 3.1 cm greater than Derell's

d + 3.1 = j

Derell's height is 0.4 cm less than Asami's height

a - 0.4 = d

Ebi is 162.5 cm tall

e = 162.5

So, plug in 162.5 into any of the above equations were there is a variable of e

j + 2.5 = e

j + 2.5 = 162.5

Subtract 2.5 from both sides of the equation

j = 160 cm

Jose's height is 160 cm

Now, plug in 160 into any of the above equations where there is a j

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d + 3.1 = 160

Subtract 3.1 from both sides of the equation 

d = 156.9 cm

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so, plug in 156.9 into any of the above equations where there is a d

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7 0
3 years ago
Read 2 more answers
(3 + 8i) + (7 -- 2i) - (6 - 5i)<br> AO 4+1<br> B.O4 + 117<br> c. 16 +1<br> D.O4 + 1143
Lubov Fominskaja [6]

Answer: (3 + 8i) + (7 -- 2i) - (6 - 5i) = 4 + 15i

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