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2 years ago

Brian is walking 2 3/4 of a mile everyday. He does this for one week.

Mathematics

1 answer:

laiz [17]2 years ago

6 0

Answer:

1. 11/4

2. 19 1/4

Step-by-step explanation:

To change into an improper fraction:

((2 times 4)+3)/4

=11/4

To calculate total distance:

(11/4) times 7

=77/4

=19 1/4

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The order of several matrices are given.

KatRina [158]

Answer:

E) EB

Step-by-step explanation:

3 0

3 years ago

A book costs $4.75 plus sales tax. After sales tax, the book is $5.13. What is the approximate sales tax rate?

maria [59]

Answer:

Step-by-step explanation:

5.13 - 4.75 = 0.38

4.75 / 0.38 = 12.5

6 0

2 years ago

Let f be defined by the function f(x) = 1/(x^2+9)

riadik2000 [5.3K]

(a)

$\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}$

Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :

$\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt$

$=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}$

(b) The series

$\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}$

converges by comparison to the convergent p-series,

$\displaystyle\sum_{n=3}^\infty\frac1{n^2}$

$\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}$

converges absolutely, since

$\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}$

That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.

5 0

2 years ago

2.32x10 to the fifth power

laiz [17]

2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000

2.32 x 100000 = 232000

The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.

3 0

3 years ago

Read 2 more answers

Ceasar wants to save up his money to buy a house. He currently has $32,000 in his savings account and wants to have $275,000. Wh

fredd [130]

Answer:

75.9375%

Step-by-step explanation:

We apply the simple interest formula;

we first determine the amount of accrued interest to be earned;

interest = 275000 - 32000

= 243000

Applying the simple interest formula;

$I=\frac{P*R*T}{100}\\243000=\frac{32000*R*10}{100}\\ 243000=3200R\\R=75.9375$

6 0

2 years ago