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gavmur [86]
3 years ago
12

9. The amount of money Allen earns varies directly with the amount of time he works. He earns

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
3 0

Answer:

47.5

Step-by-step explanation:

19÷2=9.5x5=47.5

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You can draw a house :)
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In a video game, you score p game points and b triple bonus points. an expression for your score is p+3b. what is your score whe
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245+3(20)
245+60
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Exponential growth can anyone give the answers to me? I’m completely lost!
PilotLPTM [1.2K]

Answer:

Q1

<u>The exponential growth model for frogs:</u>

  • F(x) = 100(1.22)ˣ,

F- number of frogs, x- number of years, 1.22 - growth factor

<u>Calculations</u>:

  • F(5) = 100(1.22)⁵ = 270
  • a) F(10) = 100(1.22)¹⁰ = 730
  • b) F(20) = 100(1.22)²⁰ = 5335  

<em>All numbers rounded </em>

Q2

<u>The exponential growth model for bacteria:</u>

  • B(x) = 10(1.8)ˣ

B- number of bacteria, x- number of hours, 1.8 - growth factor

<u>Calculations:</u>

  • a) B(5) = 10(1.8)⁵ = 189
  • b) B(24) = 10(1.8)²⁴ = 13382588
  • c) B(168) = 10(1.8)¹⁶⁸ = 7.68 * 10⁴³

<em>All numbers rounded </em>

Q3.

<u>The exponential growth model for fish:</u>

  • F(x) = 821(1.02)ˣ,

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<u>Calculations:</u>

  • a) F(12) = 821(1.02)¹² = 1041
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2 years ago
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Answer:

72

Step-by-step explanation:

The pythagorean theorem states that in a right triangle A^2 + B^2 = C^2 where A and B are the two smaller sides and C is the hypotenuse.

Because of this, in this triangle 30^2 + B^2 = 78^2

Which means B^2 = 5184

And B = 72

6 0
3 years ago
I need the steps to this, please. It says solve for x. Each figure is a parallelogram. Show your work.
Trava [24]
With any parallelogram, the diagonals bisect each other. This is another way of saying that they cut each other in half.

FH is one diagonal that is split into two equal pieces by the other diagonal EG.

The two parts of FH (KH and KF) are congruent to each other, so KH = KF. They combine back to FH


By the segment addition postulate
KH + KF = FH
KH + KH = FH .... KF has been replaced with KH (works because KF = KH)
2*KH = FH

Now use substitution
2*KH = FH
2*15 = FH .... replace KH with 15 (since KH = 15)
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and solve for x
2*15 = 4x-2
30 = 4x-2
30+2 = 4x-2+2 ... add 2 to both sides
32 = 4x
4x = 32
4x/4 = 32/4 ... divide both sides by 4
x = 8

----------------------------------------
----------------------------------------

Answer: x = 8

5 0
3 years ago
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