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Nata [24]
2 years ago
6

In right triangle ABC, a = 7, b = 9 and

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer: the answer is 63,ABC

Step-by-step explanation:

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The second box ix the answer

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Find GH. Round to the nearest hundredth.
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You need to use the cosine for this and this is how you do it.

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Write the smallest 4-digit numeral using 0,2,8, and 7
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5. Walker is reading a book that is 792 pages. He reads
masya89 [10]
<h2>Forming Equations from Word Problems</h2>

To form equations from word problems, we can derive mathematical operations as well as variables from the given information.

In this case, each time Walker reads a certain number of pages, we subtract that from the total number of pages left to know how many pages is left to read.

<h2>Solving the Question</h2>

<em>Let r represent the pages left to read.</em>

<em />

792 pages in total

  • ⇒ <em>r</em> = 792

Walker reads 15 pages a day during the week and 25 pages a day during the weekend.

  • There are 5 weekdays, and he reads 15 pages each of those days. ⇒ <em>r</em> = 792 - 5×15
  • There are 2 weekend days, and he reads 25 pages each of those days.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)

5 weeks have passed

  • Multiply the terms representing the number of pages he reads a week by 5, for 5 weeks.
    ⇒ <em>r</em> = 792 - (5×15 + 2×25)×5

<h2>Answer</h2>

<em>r</em> = 792 - (5×15 + 2×25)×5

4 0
1 year ago
Determine whether the following series converges or diverges using the integral test. Be sure to verify that the integral test c
Finger [1]

By using the integral test, series converges

What is an integral test for convergence and divergence?

⇒ It is used to prove the divergence or convergence of series. This test is called the integral test, which compares an infinite sum to an improper integral. It is important to note that this test can only be applied when we are considering a series whose terms are all positive.

How to know if a series is converging or diverging?

If the limit exists and is a finite number (a number less than infinity), we say the integral converges. If the limit is ±∞ or does not exist, we say the integral diverges.

let aₓ= f (x) is any function

⇒ In order for the integral test to work The function must be positive it has to be continuous and it has to be decreasing when x≥1

If the integral converges it means the series is also converging

If the integral diverges it means the series is also diverging

The sequence k^{3} /{e^{k^{4} } is clearly positive and decreases for k∈N then by the integral test,

\int\limits^\infty_1 {x^{3} /e^{x^4} dx \leq\displaystyle \sum^{\infty}_{k = 1} {x^{3} /e^{x^{4}

and

\int\limits^\infty_1 {x^{3} /e^{x^4} dx=1/4\int\limits^\infty_1 {x^{3} /e^{-u} du

⇒ 1/4 < \infty

So it comes with a finite value hence the series converges

Learn more about the integral tests here :

brainly.com/question/15394015

#SPJ1

4 0
1 year ago
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