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3 years ago

Help with this one!!! Show steps pls :)

Mathematics

1 answer:

Flauer [41]3 years ago

5 0

Answer:

$20 \times \frac{1}{8}$

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Jenny has 220 ounces of cleaning solution that she wants to divide equally among 12 large containers how much cleaning solution

stira [4]

18.33333333333333 fluid ounces each :)

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3 years ago

Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len

Rama09 [41]

The length of a curve C parameterized by a vector function r(t) = x(t) i + y(t) j over an interval a ≤ t ≤ b is

$\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt$

In this case, we have

x(t) = exp(t ) + exp(-t ) ==> dx/dt = exp(t ) - exp(-t )

y(t) = 5 - 2t ==> dy/dt = -2

and [a, b] = [0, 2]. The length of the curve is then

$\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt$

$=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt$

$=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt$

$=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt$

$=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}$

5 0

3 years ago

Which point is located at -0.135? A B C or D

Sergeu [11.5K]

D as you can see on the number line d is 1/3 of the way to -2

6 0

3 years ago

What is the Difference between 8 and -4

pav-90 [236]

Answer:

One is postive and the other is negative but both are integers and whole numbers

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

How do I solve 3(x+5)=39

azamat

3(x+5)=39

3 * x + 3 * 5 = 39

3x + 15 = 39

3x = 39 - 15

3x= 24
x = 8

4 0

3 years ago

Read 2 more answers