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ehidna [41]
3 years ago
13

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

<u>x = 5.26</u>

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Overhand Throw

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The ball is thrown over the shoulder so it is considered an overhand throw. Plus they only use an underhand and sidearm in baseball.

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What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
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3 years ago
Determine what type of model best fits the given situation: Farmer Joe has 1,000 bushels of corn to sell. Presently the market p
mart [117]

Answer:

The correct option is;

C. Quadratic

Step-by-step explanation:

The given information are;

The quantity of corn Farmer Joe has to sell = 1,000 bushels

The present market price for corn = $5.00 a bushel

The amount by which he expects the market price to rise per week =$0.15

The number of bushels lost to spoilage per week = 10

Therefore, we have;

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The amount of corn left = 1000 - 10×t

Where;

t = Time in minutes

Therefore, the total value of corn = (1000 - 10×t)×(5 + 0.15×t) = -1.5·t²+100·t+5000 which is a quadratic model.

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3 0
2 years ago
A scientist has a sample of bacteria that initially contains 10 million microbes. They observe the sample and finds that the num
sergiy2304 [10]

Answer:

M(t) = 6.7 * 10⁷ (67 million)

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Step-by-step explanation:

1. Write an exponential equation that represents M, the total number of bacterial microbes in millions, as a function of t, the number of minutes the sample has been observed.

For answering this question, we will use the following formula:

M(t) = B₀ * g ^(t/m), where:

•M(t) represents the total number of bacterial microbes in millions.

• B₀ represents the initial population of bacteria in millions.

• g represents the growth factor.

• t represents the total number of minutes we will observe the bacteria growing.

• m represents the time in minutes it takes to the growth factor g to occur.

2. Then, determine how much time, to the nearest minute, will pass until there are 67 million bacterial microbes.

M(t) = B₀ * g ^(t/m)

Replacing with the values we know:

6.7 * 10⁷ = 10⁷ * 2 ^(t/20)

6.7 = 2 ^(t/20) (Dividing by 10⁷ at both sides)

ln 6.7 = ln 2 ^(t/20)

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ln 6.7/ ln 2 = t/20

t = ln 6.7/ln 2 * 20

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t = 54.88

t ≅ 55 (rounding to the nearest minute)

3 0
2 years ago
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