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3 years ago

Power Function:

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer:

The function is:

f(x) = axⁿ

According to data in the table we have:

f(1) = 3 ⇒ a(1)ⁿ = 3 ⇒ a*1 = 3 ⇒ a = 3
f(2) = 12 ⇒ 3*2ⁿ = 12 ⇒ 2ⁿ = 4 ⇒ n = 2

Since we found the values of a and n, the function becomes:

f(x) = 3x²

The number of infected to the tenth day:

f(10) = 3*10² = 300

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sertanlavr [38]

Answer:

The length of the person’s shadow is 5.7ft

Explanation:

Length of the flagpole =a= 35ft

Length of the shadow of the flagpole= b=50ft

Length of the person=c= 4ft

Suppose the length of the person’s shadow is=d

According to the rules of trigonometry

$\frac{\text { Length of the flagpole }}{\text { Length of the shadow of the flagpole }}=\frac{\text { Length of the person }}{\text { Length of the person's shadow }}$

$\frac{a}{b}=\frac{c}{d}$

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35d=200

d= $\frac{200}{35}$

d=5.7ft

Hence, The length of the person’s shadow is 5.7ft.

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Step-by-step explanation:

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2 years ago

in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding

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We know that formula we use to find the accumulated amount of the annuity ( ordinary annuity interest is compounded ) is given by :-

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Now we get,

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