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xxTIMURxx [149]
2 years ago
8

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after t

hey had travelled 711 miles, what was the total length of the trip?
Mathematics
1 answer:
lesantik [10]2 years ago
6 0

The total length of the trip is the number of miles in the trip

The total length of the trip is 974 miles

<h3>How to determine the total length?</h3>

The given parameters are:

  • Proportion of sleep = 21%
  • Distance awake = 711 miles

If Taylor sleeps for 21% of the trip, then Taylor was awake for 79% of the trip

Represent the total length of the trip with T.

So, we have:

73% * T = 711 miles

Divide both sides by 73%

T = 974 miles

Hence, the total length of the trip is 974 miles

Read more about lengths at:

brainly.com/question/24487155

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Chase consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Chase's body
PIT_PIT [208]

Answer:

(a) The 5-hour decay factor is 0.5042.

(b) The 1-hour decay factor is 0.8720.

(c) The amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

Step-by-step explanation:

The amount of caffeine in Chase's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2542.

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

(a)

Compute the 5-hour decay factor as follows:

5-hour\ decay\ factor=(0.8720)^{5}\\=0.504176\\\approx0.5042

Thus, the 5-hour decay factor is 0.5042.

(b)

The 1-hour decay factor is:

1-hour\ decay\ factor=(0.2542)^{1/10}=0.8720

Thus, the 1-hour decay factor is 0.8720.

(c)

The equation to compute the amount of caffeine in Chase's body is:

A = Initial amount × (0.8720)<em>ⁿ</em>

It is provided that initially Chase had 171 mg of caffeine, 1.39 hours after consuming the drink.

Compute the amount of caffeine in Chase's body 2.39 hours after consuming the drink as follows:

A = Initial\ amount \times (0.8720)^{2.39} \\=[Initial\ amount \times (0.8720)^{1.39}] \times(0.8720)\\=171\times 0.8720\\=149.112

Thus, the amount of caffeine in Chase's body 2.39 hours after consuming the drink is 149.112 mg.

4 0
3 years ago
Please help me??????????!!!!!!!!!
zhenek [66]
Multiply by a across the formula

3 0
2 years ago
Gabriella earns $15 an hour and gets a 12% raise. With her raise, how much will she earn after working 40 hours?
Vanyuwa [196]

Answer:

$672

Step-by-step explanation:

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4 0
3 years ago
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1. A Babylonian tablet found in 1936 shows that the Babylonians sometimes used a more accurate value of π than 3. They determine
madreJ [45]

Answer:

<h2>1/4</h2>

Step-by-step explanation:

Area of a circle is given as πr² and its circumference is expressed as 2πr.

If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;

Area of circle = (circumference of a circle)²

πr² = (2πr)²

πr² = 4π²r²

Dividing both sides of the equation by πr² we have;

\frac{\pi r^{2}  }{\pi r^{2}  } =\frac{4\pi^{2}  r^{2}  }{\pi r^{2}  }\\1 = 4\pi \\\pi =\frac{1}{4}

The value of π this yields is 1/4

6 0
3 years ago
Can someone please help me./ solve.
Zina [86]

Answer:f=99

Step-by-step explanation

solve for f by simplifying both sides of the equation, then isolating the variable.

7 0
2 years ago
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