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maria [59]
3 years ago
5

The Width of a rectangle is 2w+3. The length is equal to 4 times its width. Write an expression to represent the perimeter of th

e rectangle. Show how you determined your expression.

Mathematics
1 answer:
kupik [55]3 years ago
4 0
Since the perimeter is the sum of the length of all sides we multiply width and length by 2 and then add them together

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A basketball player guesses her team will score 57 points during the game. The player's team actually scores 63 points.
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Solve the inequality 48 –16<br> B.<br> x &gt; 16<br> C.<br> x &lt; –16<br> D.<br> x &lt; 16
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Step-by-step explanation:

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The Law and Order detectives enter a house at 11:30 am and found a man on the floor murdered. They take his body temperature fin
taurus [48]

Answer:

Time of murder = 10:39 am

Step-by-step explanation:

Let the equation of exponential function representing the final temperature of the body after time 't' is,

f(t) = a(e)^{nt}

Here, a = Initial temperature

n = Constant for the change in temperature

t = Duration

At 11:30 am temperature of the body was 91.8°F.

91.8 = 98.6(e)^{nt} --------(1)

Time to reach the body to the morgue = 12:30 pm

Duration to reach = 12:30 p.m. - 11:30 a.m.

                              = 1 hour

Therefore, equation will be,

84.4 = 91.8(e)^{n\times 1}

eⁿ = \frac{84.4}{91.8}

ln(eⁿ) = ln(0.9194)

n = -0.08403

From equation (1),

91.8 = 98.6(e)^{-0.08403t}

(e)^{0.08403t}=\frac{98.6}{91.8}

ln[(e)^{0.08403t}]=ln[\frac{98.6}{91.8}]

0.08403t = 0.07146

t = 0.85 hours

t ≈ 51 minutes

Therefore, murder was done 51 minutes before the detectives arrival.

Time of murder = 11:30 - 00:51

                          = 10:90 - 00:51

                          = 10:39 am

7 0
2 years ago
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