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Sladkaya [172]
3 years ago
6

*Worth a lot of points*. Need help answering these ASAP

Mathematics
1 answer:
Inga [223]3 years ago
5 0

Answer:

(tried by best and solved for the c side of the triangles)

7) =5

8) =6.6

9) =7.6

10) sorry, can't remember how to solve these

Step-by-step explanation:

if you need an explanation just comment on my answer. hope this helped!!

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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
3 years ago
Susie ran a race. She ran 555 miles an hour, and the race took her ttt hours to complete. How long was the race? Write your answ
VMariaS [17]
1000 is it i think for sure
6 0
3 years ago
You want to purchase a house in 5 years. You estimate its cost as $150,000 and you want to make a 20% down payment. How much do
HACTEHA [7]

Answer:

500.00

Step-by-step explanation:

6 0
2 years ago
Everyone needs to get off of social and help us -_-
JulsSmile [24]
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16

(x^2+10x+16)(x+k)=x^3+9x^2+6x-16

x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16

kx^2+10kx+16k=-x^2-10x-16

k(x^2+10x+16)=-x^2-10x-16

k=(-x^2-10x-16)/(x^2+10x+16)

k=-1

so the width is (x-1)




7 0
3 years ago
Which classification best represnts a triangle with side lengths 10in 12in and 15in
GarryVolchara [31]

Scalene Triangle - A triangle that has no sides of equal length

7 0
3 years ago
Read 2 more answers
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