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Phantasy [73]
3 years ago
12

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. Which times and distances

are represented by the function? Select three options.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

Following are the responses to this question:

Step-by-step explanation:

This question required the choices, so the correct option can be described as following:

In option a: In 2 hours, the passenger is 725 miles away.

In option b: The length is stable at 3 hours, 880 miles.

In option c: The overall distance to home is 1,062.5 miles after 6 hours.

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Angelina_Jolie [31]

Hi there!

\large\boxed{\text{ 10.5 in}^3}}

Begin by solving for the area of the base:

A = 1/2 (bh)

Thus:

A = 1/2(2 · 1.5) = 1.5 in²

Multiply by the depth to find the volume:

A = 1.5 × 7 = 10.5 in³

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3 years ago
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In a survey of 100 out-patients who reported at a hospital on a day, it was found that 70 complained of fever, 50 had stomach tr
cluponka [151]

Answer:

3 patients had all the three complaints

Step-by-step explanation:

Let U be the set of patients who reported at the hospital on that day

Let F be the set of patients who complained of fever

Let S be the set of patients who had stomach troubles

Let I be the set of injured patients

Then the given data can be written as:

  • n(U) = n(F∪S∪I) = 100
  • n(F) = 70
  • n(S) = 50
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  • n(F∩S) + n(S∩I) + n(I∩F) - 3×n(F∩S∩I) = 44

n(F∩S∩I) = ?

Using the formula for the cardinal number of union of three sets:

n(F∪S∪I) = n(F) + n(S) + n(I) - n(F∩S) - n(S∩I) - n(I∩F) + n(F∩S∩I)

100 = 70 + 50 + 30 - (44 + 3×n(F∩S∩I)) + n(F∩S∩I)

100 = 150 - 44 - 2×n(F∩S∩I)

2×n(F∩S∩I) = 106 - 100 = 6

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3 years ago
1/15.999=x/54.5<br> Does anyone know what to do? I keep getting the answer wrong.
kkurt [141]
Hello!

First, let's write the problem.
\frac{1}{15.999}=\frac{x}{54.5}
Let's switch sides now, otherwise, we are going to end up doing it later.
\frac{x}{54.5}=\frac{1}{15.999}
Multiply both sides by 54.5.
\frac{x}{54.5} *54.5 =\frac{1}{15.999}*54.5
We could also rewrite that as,
\frac{54.5x}{54.5}=\frac{1\cdot \:54.5}{15.999}
Simplify.
\frac{54.5x}{54.5}=x
\frac{1\cdot \:54.5}{15.999}=\frac{54.5}{15.999}
x=3.40646\dots
That would be our final answer, we could round it to.
x ≈ 3.40

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish
8 0
3 years ago
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