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Ronch [10]
3 years ago
10

Power Function:

Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0

Answer:

<u>The function is:</u>

  • f(x) = axⁿ

<u>According to data in the table we have:</u>

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

<u>Since we found the values of a and n, the function becomes:</u>

  • f(x) = 3x²

<u>The number of infected to the tenth day:</u>

  • f(10) = 3*10² = 300
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At 6:00 PM, a flagpole that is 35 feet tall casts a shadow that is 50 feet long. At the same time, how long will a person's shad
sertanlavr [38]

<u>Answer:</u>

The length of the person’s shadow is 5.7ft

<u>Explanation:</u>

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}

\frac{35}{50}=\frac{4}{d}

35d=200

d=\frac{200}{35}

d=5.7ft  

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

3 0
3 years ago
A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen?
balu736 [363]

Answer:

3

Step-by-step explanation:

hope this helps

6 0
3 years ago
5. On the Venn diagrams, shade the sets
lawyer [7]
There can be like a where a b and c
5 0
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
stealth61 [152]

Answer: $59313.58

Step-by-step explanation:

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

FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}}), where A is the annuity payment deposit, r is annual interest rate , t is time in years and n is number of periods.

Given : Annuity payment deposit :A= $4500

rate of interest :r= 6%=0.06

No. of periods : m= 1   [∵ its annual]

Time : t= 10 years

Now we get,

FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})\\\\\Rightarrow\ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})\\\\\Rightarrow\ FV=(4500)(\frac{0.79084769654}{0.06})\\\\\Rightarrow\ FV=(4500)(13.1807949423)\\\\\Rightarrow\ FV=59313.5772407\approx59313.58 \ \

∴ the accumulated amount of the annuity= $59313.58

4 0
4 years ago
Divide. 3.2 ÷ 0.8 help me e pleaseeeeeeeeeeee !!!!!!
Talja [164]
\frac{3.2}{0.8} = \frac{32}{8} = \frac{4\times 8}{8} = 4
4 0
3 years ago
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