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ycow [4]
3 years ago
6

Is 50 prime or composite?

Mathematics
2 answers:
Evgesh-ka [11]3 years ago
8 0
50 is a composite number. Prime means that it can only be multiplied by one and itself. And composite is when the. Number can be multiplied with other numbers such as 2 or something and not just 1and itself. 50 can be multiplied by one and itself but you can also get 50 by multiplying 25 by 2.
luda_lava [24]3 years ago
6 0
50 is composite. This means there is more than one multiple.
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Find the area of the surface. the part of the hyperbolic paraboloid z = y2 − x2 that lies between the cylinders x2 + y2 = 4 and
Nadusha1986 [10]
Call the surface S; then the area of S is given by the surface integral

\displaystyle\iint_S\mathrm d\mathbf S

Parameterize the surface by

\mathbf r(u,v)=\begin{cases}x(u,v)=u\cos v\\y(u,v)=u\sin v\\z(u,v)=u^2\cos^2v-u^2\sin^2v=u^2\cos2v\end{cases}

with 2\le u\le4 and 0\le v\le2\pi. The surface element is given by

\mathrm d\mathbf S=\|\mathbf r_u\times\mathbf r_v\|\,\mathrm du\,\mathrm dv
\mathrm d\mathbf S=u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv

So the area is

\displaystyle\iint_S\mathrm d\mathbf S=\int_{v=0}^{v=2\pi}\int_{u=2}^{u=4}u\sqrt{1+4u^2}\,\mathrm du\,\mathrm dv
=\displaystyle2\pi\int_{w=17}^{w=65}\sqrt w\,\frac{\mathrm dw}8

where w=1+4u^2\implies\mathrm dw=8u\,\mathrm du

=\displaystyle\frac\pi4\frac23w^{3/2}\bigg|_{w=17}^{w=65}
=\dfrac\pi6\left(65^{3/2}-17^{3/2}\right)\approx237.69
8 0
3 years ago
Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan
BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

= 125/6(In(x-25)) - 5/6(In(x+5))+C

4 0
3 years ago
Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f
Illusion [34]

Answer:

8\%

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping \frac{6}{75}=0.08 of the total. To convert this to a percentage, multiply by 100: 0.08\implies 0.08\cdot 100=\boxed{8\%}

7 0
3 years ago
Read 2 more answers
25
Cloud [144]
If you are asking if your work is good,thn yes,you are right

7 0
3 years ago
Can someone please help ? :(
Anika [276]

Answer:

I'll list the answers as coordinates (just input the second number in each coordinate)

(-2, 11)

(0, 1)

(2, -9)

(4, -19)

Step-by-step explanation:

So you see how the x column is filled out? You plug in the numbers in each area and solve for y.

So we start off with -2. You take the x out and place -2 instead. Your equation should look like this:

y = -5 (-2) + 1

Next you multiply -5 and -2, giving you 10. Your equation would look like this now:

y = 10 + 1

Next you add 10 and 1 together, and you have your answer. Keep doing the same thing, but instead of -2 for x, use 0, 2, and 4.

Hope I helped! Have a nice day or night! ^-^

8 0
3 years ago
Read 2 more answers
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