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1 year ago

Blue shirt – Black pants

Mathematics

1 answer:

const2013 [10]1 year ago

4 0

Answer:

8 options I think

Step-by-step explanation:

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Helos answee please im dumb asap

exis [7]

Answer:

114

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

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

2 years ago

I need a step by step explanation on this problem:

miss Akunina [59]

Answer:

Dividing by 7

Step-by-step explanation:

1. Find the common term in the fraction 7

divided all by 7

4 0

2 years ago

Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i

user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is $V=l\times w\times h$

Where, l is the length of the prism l=45 cm

w is the width of the prism w=12 cm

h is the height of the prism h=10 cm

Substitute the value in the formula,

$V=45\times 12\times 10$

$V=5400\ cm^3$

Therefore, The volume of the right rectangular prism is 5400 cubic centimeter.

7 0

2 years ago

How much interest is earned on $2,700 in one year if it is invested at 3%?

tester [92]

On this part, you can use the formula for compound interest:

F = P(1+i)^n
F = future worth of $
P = present worth of $
i=interest
n=years

F = 2700(1+0.03)^1
F = 2781

So interest = 2781-2700 = $81

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

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