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Mama L [17]
3 years ago
15

H^-2g for h=3 and g=27

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0
Plug h = 3 and g = 27 into the expression:

h^{-2}g=  \dfrac{g}{h^2} = \dfrac{27}{3^2} = \dfrac{27}{9} = 3
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She made 76,450 last year she received a 4% salary increase how much does she make now ?
Luden [163]

Answer:

$79,508

Step-by-step explanation:

Change 4% to decimal form: drop the percent sign replacing it with a decimal    

                                                point then move the decimal point two places to  

                                                the left = .04

Salary increase: $76,450 x .04 = $3,058

Total salary: $76,450 + $3,058 = $79,508

5 0
3 years ago
What is the value of cos θ given that (-2, 9) is a point on the terminal side of θ?
liq [111]

Answer:

a)  cosθ  = \frac{-2\sqrt{85} }{85}

Step-by-step explanation:

<u><em> Step(i):</em></u>-

Given point ( x , y ) = ( - 2 , 3 )

We know that the polar co-ordinates

  x = r cos θ and y = r sinθ

where   r = \sqrt{x^{2} +y^{2} }  

            r = \sqrt{(-2)^{2} +(9)^{2} } = \sqrt{4+81} = \sqrt{85}

<u><em>Step(ii)</em></u>:-

           x = r cos θ

          cosθ   = \frac{x}{r}

      cosθ  = \frac{-2}{\sqrt{85} } = \frac{-2}{\sqrt{85} } X \frac{\sqrt{85} }{\sqrt{85} }

       cosθ  = \frac{-2\sqrt{85} }{85}

3 0
3 years ago
Roopesh has $24 dollars to spend on a birthday gift. The store where he is shopping has a sale offering $5 off the regular price
Natasha2012 [34]

Answer:

r ≤ 29, r-5

The sale price can be compared with the regular price, r-5 ≤ 24

Step-by-step explanation:

Amount to spend = $24

Regular price = r

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Sale Price = r-5

The regular price will be $5, at the max, more than the amount Roopesh has to spend.

The sale price will be $24 or less than that for Roopesh to afford.

Inequality for regular price:

r-5 ≤ 24

r ≤ 29

So, the product Roopesh can afford is $29 or less than that.

What is the unknown? r ≤ 29

Following expression can represent the sale price:

Sale price = r-5  

The sale price can be compared with the regular price with the following:

Inequality representing the situation: r-5 ≤ 24

3 0
3 years ago
Three x squared plus seventeen x plus ten
Sindrei [870]

Answer:

(3x+2)(x+5)

Step-by-step explanation:

3 0
3 years ago
3a2 + 2a + 2a2 is equal to​
yanalaym [24]

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

4 0
3 years ago
Read 2 more answers
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