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2 years ago

Is 2/3 greater then 5/8?

2 answers:

5 0

The LCD is 24

2 * 8 16
3 * 8 24

5 * 3 15
8 * 3 24

Because 16 over 24 is greater than 15 over 24
2/3 is greater than 5/8

Ronch [10]2 years ago

4 0

Yes. 24 is a LCD of 3 and 8. So if you multiply 2/3 by 8 you'd get 16/24. If you multiply 5/8 by 3 you get 15/24. Therefore 2/3 > 5/8

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Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab

Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

$SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx$

If $f(x)=x^2,$ then

$f'(x)=2x$

and

$b=0\\ \\a=2$

Therefore,

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx$

Apply substitution

$x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du$

Then

$SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du$

Now

$\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))$

Hence,

$SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}$

3 0

2 years ago

Josh lives one for 6 miles from the park so far he walked 2/3 of the distance from his house to the park how many miles has josh

Naily [24]

Answer:

Step-by-step explanation:

6 0

2 years ago

How do you do this question?

tatyana61 [14]

Answer:

Step-by-step explanation:

The increments are 0.4, and the width of the interval is 10, so the number of increments (the number of times you need to use Euler's method) is:

10 / 0.4 = 25

8 0

2 years ago

Your hotel has 200 rooms in Dallas. There is a sport event coming up, and fans either book a rooms months before or wait for the

dedylja [7]

Answer:

89 rooms should be set for early book customer

Step-by-step explanation:

According to the given data we have the following:

OVERAGE(CO) = 200

SHORTAGE(CS) = 500

In order to calculate how many rooms should be set for early book customer we would have to use the following formula:

OPTIMAL BOOKING = MEAN + (Z * STDEV)

MEAN = 75

STDEV = 25

SERVICE LEVEL= CS / (CS + CO) = 500 / (500 + 200) = 0.7143

Z VALUE FOR 0.7143 = 0.57

OPTIMAL BOOKING = 75 + (0.57 * 25) = 89

89 rooms should be set for early book customer

3 0

2 years ago

Is the answer to 8+7-1=14 <br> In doubles minus one fact ?

TiliK225 [7]

Answer:

Yes it is!

Step-by-step explanation:

First do 8+7 which is 15, then subtract 1 to get 14

Hi! If this helped please make this the brainliest answer, I'm on a goal to get 5 brainest answers, thanks!

6 0

2 years ago