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4 years ago

What’s the answer please

Mathematics

2 answers:

Lunna [17]4 years ago

6 0

You could set up a ratio:
$\frac{186}{3} = \frac{x}{1}$
which then becomes:

strojnjashka [21]4 years ago

5 0

Hello there, and thank you for posting your question here on brainly.

She drove 186 miles in 3 hours, to find out how much she drove in 1 hour, you can divide 186 by 3.

186 / 3 = 62

She drove 62 mph / miles per hour.

Hope this helped!! ☺♥

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Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-

AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

$\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\$

So, this integral is convergent.

$\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\$

So, this integral is divergent.

$\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\$

So, this integral is divergent.

4 0

3 years ago

X to the power of 3 - 7x + 6 factorise please whole step by step

Over [174]

Answer:

$(x + 3)(x - 2)(x - 1)$

Step-by-step explanation:

${x}^{3} - 7x + 6$

Factor using Rational Root Theorem.

This means our possible roots are

positve or negative (1,2,3,6). If we try positve 1, it is indeed a root.

This means that

$(x - 1)$

is a root.

We can divide the top equation by the root (x-1). Our new equation is

$( {x}^{2} + x - 6)$

Now we can factor this completely

$(x + 3)(x - 2)$

So this equation in factored form is

$(x + 3)(x - 2)(x - 1)$

8 0

3 years ago

The map shows the length of two trails used for a race around a lake. What is the total distance of the race? A trail race map.

ra1l [238]

Answer:

Step-by-step explanation:

4 0

3 years ago

Which of the following is NOT a unit fraction? 7/11 1/16 1/50 1/2

GalinKa [24]

Answer:

7/11

Step-by-step explanation:

This is the only fraction without a 1 in its numerator.

3 0

3 years ago

If the measure of arc FF=47 and the measure of angle ACD=55, determine the measure of arc BD. I really need help with this, than

Llana [10]

Answer:

d. 8°

Step-by-step explanation:

It appears as though you intend ∠ECF and ∠ACB to be vertical angles, hence the same measure, 47°. The angle of interest, ∠BCD, is added to that to make ∠ACD, which is 55°. The added angle must be 55° -47° = 8°.

8 0

3 years ago