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3 years ago

12

(Problem of the Week)

1 answer:

ira [324]3 years ago

5 0

Answer:

He won 13 times and lost 1 time

Step-by-step explanation:

divide 67 by 5 so 67÷5 you would get 13.4 you take the whole number 13 and multiply it by 5 and that will get you to 65 so then you only have 2 left over and if you lose you get 2 point so therefore you know that he lost only once

(13•5)+2=67

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A spherical balloon currently has a radius of 19cm. If the radius is still growing at a rate of 5cm or minute, at what rate is a

miv72 [106K]

Answer:

22670.8 cm³/min

Step-by-step explanation:

Given:

Radius of the balloon at a certain time (r) = 19 cm

Rate of growth of radius is, $\frac{dr}{dt}=5\ cm/min$

The rate at which the air is pumped in the balloon can be calculated by finding the rate of increase in the volume of the balloon.

So, first we find the volume of the sphere in terms of 'r'. As the balloon is spherical in shape, the volume of the balloon is equal to the volume of a sphere. Therefore,

Volume of balloon is given as:

$V=\frac{4}{3}\pi r^3$

Now, rate of increase of volume is obtained by differentiating both sides of the equation with respect to time 't'.

Differentiating both sides with respect to time 't', we get:

$\frac{dV}{dt}=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4\pi}{3}(3r^2)(\frac{dr}{dt})\\\\\frac{dV}{dt}=4\pi r^2(\frac{dr}{dt})$

Now, plug in 19 cm for 'r', 5 cm per minute for $\frac{dr}{dt}$ and solve for $\frac{dV}{dt}$ . This gives,

$\frac{dV}{dt}=4\pi (19 cm)^2(5\ cm/min)\\\\\frac{dV}{dt}=4\times 3.14\times 361\times 5\ cm^3/min\\\\\frac{dV}{dt}=22670.8\ cm^3/min$

Therefore, the rate at which the air is being pumped into the balloon is 22670.8 cm³/min.

4 0

3 years ago

If a person walks 16 miles in 10 minutes, how far will that person walk in one hour?

USPshnik [31]

Answer:

too far to be human

Step-by-step explanation:

in 10 mins i walk 1 mile

8 0

3 years ago

Read 2 more answers

How do I Isolate the radical on the left side? √4x+5+1=0

Usimov [2.4K]

$\sqrt{4x}+5+1=0\\
\sqrt{4x}=-6\\
x\in \emptyset$

4 0

3 years ago

What is 2/3 -1/5 (fractions)

butalik [34]

Answer:

7/15

Step-by-step explanation:

8 0

3 years ago

Expand the expression: 5(d +7)<br> show work pls so i can understand

Tresset [83]

5(d + 7)
multiply 5 to d, then to 7
5d + 35

3 0

3 years ago