Davis can read 4/5 of a page in one minute. How many pages can he read in 4 1/2 minutes?

Mathematics

1 answer:

Sever21 [200]3 years ago

3 0

Answer: 3.6 pages

Step-by-step explanation: First, because it is easier this way, you make the fractions into decimals. It will look like this: 4/5= 0.8, and 4 1/2= 4.5. Then, you just multiply the numbers. Using a calculator is easiest.

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Please help # 36,38 and 39 ASAP.Thanks:)

Rzqust [24]

36 is B
37 is H
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3 years ago

What is the slope of the line that passes through (37, -9) and (36, 81)

Semenov [28]

Answer:

m= -90 is your answer

Step-by-step explanation:

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4 years ago

Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal

sashaice [31]

Answer:

Step-by-step explanation:

$\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx$

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = $\int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}$

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

$\frac{1}{1-p} ((ln2)^{1-p} -1)$

and converges for p ≠1

b) $\int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C$

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

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4 years ago

The gravitational force formula is F=Gm1m2 where F is the force between two objects, G is the constant of gravitation, m1 is the

Kruka [31]

$\text{r = }\dfrac{\sqrt{G*m_1*m_2}}{\sqrt{F}}$

This is what is in the middle of the second paragraph. That statement is correct.

I don't know that it is any simpler or not, but what they have done in the answer is rationalize the denominator. That means that the denominator is no longer under the square root sign.

To get that result, you multiply numerator and denominator by √F

When you do that, your get

$\text{r =}\dfrac{G\sqrt{m_1*m_2}\sqrt{F}} { \sqrt{F*}\sqrt{ F}}$