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Annette [7]
3 years ago
13

Need help ASAP please

Mathematics
1 answer:
Arturiano [62]3 years ago
3 0
It See answers are disposable income and annual cost
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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
2 years ago
Quincy is trying to estimate the height of a tree in his backyard. he measures the tree’s shadow as 12 ft. he stands near the tr
slava [35]
I believe he should add 2ft to the height of the tree as well
3 0
2 years ago
Expand.<br> Your answer should be a polynomial in standard form.<br> (3c + 2)(c^2-6c-4)
evablogger [386]

Answer:

After expanding the polynomial (3c + 2)(c^2-6c-4) we get  3c^3-16c^2-24c-8

Step-by-step explanation:

We need to expand the polynomial (3c + 2)(c^2-6c-4)

Multiply the terms:

(3c + 2)(c^2-6c-4)\\=3c(c^2-6c-4)+2(c^2-6c-4)\\=3c^3-18c^2-12c+2c^2-12c-8\\=3c^3-18c^2+2c^2-12c-12c-8\\=3c^3-16c^2-24c-8

So, after expanding the polynomial (3c + 2)(c^2-6c-4) we get  3c^3-16c^2-24c-8

3 0
3 years ago
4. Seleccione la respuesta correcta. Select the right answi
WITCHER [35]

Answer:

B

Step-by-step explanation:

The answer is B I have seen this question befor

5 0
3 years ago
The volume of a cone is 1540cm³. If its radius is 7cm, calculate the height of the cone. (Take pi = 22/7)
Ann [662]

Answer:

h=30

Step-by-step explanation:

Volume of a cone=1540cm^{3}, Radius=7cm.

The height of a cone=h

When we need to find the height of a cone, we can use the formula of the volume of a cone, which is \frac{1}{3} \pi r^{2} h to find the height of a cone.

1540cm^{3} =\frac{1}{3}\pi r^{2}  h

Put the pi value=22/7 and the value of radius which is 7 cm into the formula.

1540cm^{3}=\frac{1}{3}*\frac{22}{7}  7^{2}h

1540cm^{3} =\frac{154}{3}h

Move \frac{154}{3} to another side. 1540 divided by  \frac{154}{3} to calculate what is the value of h, h is the height of a cone. Like this.

\frac{1540cm^{3} }{\frac{154}{3} } =h

30=h

Rearrange the h.

h=30

I hope you will understand my solution and explanation. If you still cannot get the point, you can ask me anytime! Thank you!

4 0
3 years ago
Read 2 more answers
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