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poizon [28]
3 years ago
14

One bus leaves a stop every 15 minutes a second bus leaves the same stop every 20 minutes if they both leave at 3.20 pm at what

time will they next leave together
Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

Answer:

They will both leave a stop at 4:20 pm

Step-by-step explanation:

They start at 3:20 pm and one bus leaves 15 MIN every stop and the other one at 20 min.

at the times they stop they stop it will be:

15 min. 20 min

3:35. 3:40

3:50. 4:00

4:05. 4:20

4:20

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Use spherical coordinates. evaluate (x2 + y2) dv e , where e lies between the spheres x2 + y2 + z2 = 1 and x2 + y2 + z2 = 25.
Snowcat [4.5K]
\begin{cases}x(\rho,\theta,\varphi)=\rho\cos\theta\sin\varphi\\y(\rho,\theta,\varphi)=\rho\sin\theta\sin\varphi\\z(\rho,\theta,\varphi)=\rho\cos\varphi\end{cases}\implies\mathrm dV=\mathrm dx\,\mathrm dy\,\mathrm dz=\rho^2\sin\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi

x^2+y^2=\rho^2\cos^2\theta\sin^2\varphi+\rho^2\sin^2\theta\sin^2\varphi=\rho^2\sin^2\varphi

\displaystyle\iiint_E(x^2+y^2)\,\mathrm dV=\int_{\varphi=0}^{\varphi=\pi}\int_{\theta=0}^{\theta=2\pi}\int_{\rho=1}^{\rho=5}\rho^4\sin^3\varphi\,\mathrm d\rho\,\mathrm d\theta\,\mathrm d\varphi
=\displaystyle2\pi\left(\int_{\varphi=0}^{\varphi=\pi}\sin^3\varphi\,\mathrm d\varphi\right)\left(\int_{\rho=1}^{\rho=5}\rho^4\,\mathrm d\rho\right)
=\dfrac{24992\pi}{15}
7 0
3 years ago
A store is having a sale on walnuts and chocolate chips. For 9 pounds of walnuts and 7 pounds of chocolate chips, the total cost
vfiekz [6]

Answer:

Walnuts = $1.75 per pound

Choc chips = $3.75 per pound

Step-by-step explanation:

In photo, is working out.

6 0
4 years ago
Which function can be used to model the graphed geometric sequence?
andreev551 [17]

Answer: The correct option is 1, i.e., f(x+1)=\frac{5}{6}f(x).

Explanation:

The geometric sequence is in the form of,

a,ar,ar^2,ar^3,....

Where, a is the first term of the sequence and r is the common ratio of the sequence.

It means the n_{th} term of the sequence is defined as,

a_n=ar^{n-1}

So the the (n+1)_{th} term of the sequence is defined as,

a_{n+1}=ar^n

a_{n+1}=r(ar^{n-1})

a_{n+1}=ra_n

It means the geometric sequence is in the form of,

f(x+1)=rf(x)

Where, r be any constant.

From the options only f(x+1)=\frac{5}{6}f(x) is in the form of f(x+1)=rf(x) with common ratio \frac{5}{6}.

Therefore, the function can be used to model the graphed geometric sequence is f(x+1)=\frac{5}{6}f(x) .

8 0
4 years ago
Read 2 more answers
Simplify<br> 5t^2 divided by t^2
zysi [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Solve this problem and show all the step involved.If ad=12and ac=ay_36, find the value of y.Then find ac and DC
pochemuha

Answer:

y = 15

AC = 24

DC = 12

Step-by-step explanation:

Given

AD = 12

AC = 4y - 36

See attachment

Solving for y

From the attachment:

AD = DC

and

AC = AD + DC

Substitute DC for AD

AC = AD + AD

AC = 2AD

Substitute values for AD and AC

4y - 36= 2*12

4y - 36= 24

Collect Like Terms

4y = 36+ 24

4y = 60

Solve for y

y = 60/4

y = 15

AC = 4y - 36

AC = 4 * 15 - 36

AC = 24

AD = DC

DC = AD

DC = 12

8 0
4 years ago
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