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andrezito [222]
3 years ago
13

Someone please help me with this question, I don’t know what to do.

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

22.5

Step-by-step explanation:

What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.

If you want to calculate it yourself stop reading here, because I will work it out now.

Volume box = a*b*c

Volume prism = 15

Volume pyramid = (b * c * a)/3

The prism has the volume of the box minus the pyramid so

abc - (abc)/3 = 15

abc - (1/3)abc = 15

(2/3)abc = 15

abc = 22.5

So 22.5 is the volume of the figure

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Give the largest interval over which the general solution is defined. (Think about the implications of any singular points. Ente
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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

   No singular point due to the exponent in the solution

    The interval is   -\infty

b

   NONE

Step-by-step explanation:

From the question we are told that

     \frac{dy}{dx} =  9y

The generally solution is mathematically represented as

         \frac{dy }{dx}  =  9y

=>       \frac{dy}{y}  =  9dx

integrating both sides  

         \int\limits  {\frac{ dy}{y} } \,  = \int\limits  {9} \, dx

  =>   lny = 9x + c

 =>   y =  e^{9x +c }

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Here e^c  =  C

=>     y = C  e^{9x}

From the above equation we see that the domain for x has no singular point the interval is

       -\infty

Also there is no transient term in the general solution obtained because as  x \to \infty there no case where y \to 0

7 0
3 years ago
Michael gave 2/5 of his marbles to his sister. He then divided the remainder equally among his 3 friends. If each of his friends
eduard
He had 50 marbles at first
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Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month
sweet-ann [11.9K]

Answer:

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3 years ago
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Answer:

\frac{21}{8}

Step-by-step explanation:

6\frac{1}{4}=6+\frac{1}{4}=\frac{25}{4}\\\\3\frac{5}{8}=3+\frac{5}{8}=\frac{29}{8}\\

finally

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5 0
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