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jek_recluse [69]
3 years ago
15

Brian wrote this expression to describe the total distance he was going to hike in two weeks. a + 5 Which situation could be des

cribed by this expression? A. Brian wasn't sure how far he would hike the first week. He would hike 5 miles the second week. B. Brian wasn't sure how far he would hike the first week. He would hike 5 miles less the second week. C. Brian wasn't sure how far he would hike the first week. He would hike 5 times farther the second week. D. Brian wasn't sure how far he would walk in two weeks. He wanted to walk the same distance each day for 5 days. Question Resources
Mathematics
1 answer:
Travka [436]3 years ago
3 0
Total distance to hike in 2 weeks......a + 5

A. Brian wasn't sure how far he would hike the first week.....that is what the variable " a " stands for......He would hike 5 miles the second week....thats what the + 5 is for
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A rectangular prism that has a length of 8 feet, width of 6 feet, and height of 12 feet. What is the volume of the prism? ft3
Lady bird [3.3K]

Answer:

The volume of the prism is 576 cubic feet

Step-by-step explanation:

Length of rectangular prism = 8 feet

Width of rectangular prism = 6 feet

Height of rectangular prism = 12 feet

Volume of rectangular prism = Length \times Breadth \times Height

Volume of rectangular prism =8 \times 6 \times 12

Volume of rectangular prism =576 feet^3

Hence the volume of the prism is 576 cubic feet

6 0
3 years ago
Read 2 more answers
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Answer: 337.5 km

Step-by-step explanation:

Use proportion:

2:75=9:x

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3 years ago
Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

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2 years ago
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Answer:

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