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3 years ago

10

Four friends are going to share the responsibility of babysitting 3 children for 7 hours. How much time will each friend spend b

abysitting if they take turns and spend equal amounts of time?

1 answer:

Effectus [21]3 years ago

8 0

Answer:

1.75 hours :)

Step-by-step explanation:

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Lim x--> 0 (e^x(sinx)(tax))/x^2

Tom [10]

Make use of the known limit,

$\displaystyle\lim_{x\to0}\frac{\sin x}x=1$

We have

$\displaystyle\lim_{x\to0}\frac{e^x\sin x\tan x}{x^2}=\left(\lim_{x\to0}\frac{e^x}{\cos x}\right)\left(\lim_{x\to0}\frac{\sin^2x}{x^2}\right)$

since $\tan x=\dfrac{\sin x}{\cos x}$ , and the limit of a product is the same as the product of limits.

$\dfrac{e^x}{\cos x}$ is continuous at $x=0$ , and $\dfrac{e^0}{\cos 0}=1$ . The remaining limit is also 1, since

$\displaystyle\lim_{x\to0}\frac{\sin^2x}{x^2}=\left(\lim_{x\to0}\frac{\sin x}x\right)^2=1^2=1$

so the overall limit is 1.

4 0

3 years ago

How many solutions does this system have 2x + y = -1 -4x - 2y = -5

postnew [5]

5. There’s your answer buddy

6 0

3 years ago

What is the slope of the line passing through the points

Bingel [31]

Hello!

Answer:

$\boxed{2}$

Step-by-step explanation:

$Slope=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}$

$\frac{1-(-5)}{4-1}=\frac{6}{3}=2$

Therefore, the slope is 2, which is our final answer.

Hope this helps!

Have a nice day! :)

:D

Thank you!

6 0

3 years ago

2. Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68 (a) Change £325 into euros (E).

aalyn [17]

Answer:

£325 is €546

Step-by-step explanation:

325 times 1.68 is 546

7 0

2 years ago

If the tan of angle x is 22/5 and the triangle was dilated to be two times as big as the original, what would be the value of th

KATRIN_1 [288]

Trigonometric values (sin, cos, tan etc.), represents the ratio between two sides.

In this case the triangle is dilated, which means the size will change but the shape will stay proportional.

Because the sides grew proportional their ratio stays the same; so, the tan in the second triangle is 22/5 too.

Moreover, because the sides grew/shrunk proportional, the angles stay the same.

Because same angles have the same trigonometric values, tan(x) in second triangle becomes 22/5.

4 0

2 years ago