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kondaur [170]
3 years ago
11

Write an equivalent expression to -2(1.5h + 5) - 4(-0.5 + 3h).

Mathematics
1 answer:
Otrada [13]3 years ago
8 0

Answer:

-2(1.5h + 5) - 4(-0.5 + 3h) = -15h-8

Step-by-step explanation:

-2(1.5h + 5) - 4(-0.5 + 3h)

-2*(1.5h)+(-2*5)-(4*-0.5)-4(3h)

-3h-10-(-2)-12h

-3h-12h-10+2

-15h-8

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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
information from research studies is sometimes taken out of context. explain why the claims of these studies might be suspect
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<span>Information from research studies is sometimes taken out of context. This may happen because the researcher's interpretation of the data is being altered by their own preconceived notions, ideas, beliefs, even cultural values. To correctly interpret data, the researcher must remain completely objective.</span>
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Answer:

8

Step-by-step explanation:

5 0
2 years ago
Select the reason why these triangles are similar. if they are not select no similar
lana66690 [7]

Answer:

SAS

Step-by-step explanation:

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6 0
3 years ago
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In Walmart parking, there are 175 vehicles parked joe figures out that 64% of the vehicles are white. How many vehicles are NOT
aksik [14]

Answer:

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Step-by-step explanation:

Well you know that there are 175 total vehicles, and that 64% of those vehicles are white.  Therefore the remaining percentage of vehicles must not be white.

100%-64%=36%

This means that 36% of the vehicles aren't white.

Now you must find what 36% of 175 is.  The word "of" always signals for multiplication, which is exactly what you need to do here.  First start by converting the percentage into decimal form:

36%=0.36

Now you can multiply

175 x 0.36 = 63

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3 years ago
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