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Yuliya22 [10]
3 years ago
14

Jada rode her bike at a constant speed for 3 hours. During that time, she traveled 7.2 miles. What was Jada's riding speed?

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer: 2.4 miles per hour

Step-by-step explanation: just do 7.2/3=2.4

or another way you could do this is do 2.4 x 3=7.2

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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
Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even C(x)=1
natka813 [3]
Consider these specific values of x.

For example, if x=10, then <span>C(10)=16(10)+36,000=160+36,000=36,160 (say $)

 and R(10)=18*10=180.


So if only 10 units are produced, the total cost is 36,160, while the revenue is only 180 (again, say $.)



If, for example, x=1000, then we can calculate 

</span><span>C(1000)=16*1000+36,000=16,000+36,000=52,000

and 

R(1000)=18*1000=18,000.


This suggests that with higher values of x, we can get to a particular point where the Cost and Revenue are the same. To find this point, we set the equation:
                            C(x)=R(x), 

which gives us that particular x at which both </span>C(x) and R(x) give the same value.

Thus, we solve <span>16x+36,000=18x. Subtracting 16x from both sides                                                         2x=36,000,   then x = 36,000/2=18,000.


 
Answer: 18,000

</span>
8 0
3 years ago
SOMEONE PLZ HELP ME WITH 10 and 8!!!!!
Allisa [31]

Answer:

10.23.75^{o}

8. 34.76^{o}

Step-by-step explanation:

10. each step is 36, so i added it twice to get 72.

     then add 16 twice = 32

      this gives us two sides to our triangle.

      We can now use tan since we know opp and adj

      tan 32/72 = .44

      arctan = 23.75

8. since we again know the opposite and adjacent sides to the angle e are trying to find we can use tan again.

  tan 12.5/18 = .694

  arctan= 34.76

5 0
3 years ago
Can someone plz help me
lubasha [3.4K]
I say it’s c it makes the most sense to me
3 0
3 years ago
Read 2 more answers
If t varies inversely as a and t= 2 when a = -4, what is t when a = 1/3?
bezimeni [28]

Answer:

t = - 24

Step-by-step explanation:

Given t varies inversely as a then the equation relating them is

t = \frac{k}{a} ← k is the constant of variation

To find k use the condition t = 2 when a = - 4

2 = \frac{k}{-4} ( multiply both sides by - 4 )

- 8 = k

t = \frac{-8}{a} ← equation of variation

When a = \frac{1}{3} , then

t = \frac{-8}{\frac{1}{3} } = - 24

5 0
3 years ago
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