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3 years ago

The sum of the first 666 terms of a geometric series is 15{,}62415,62415, comma, 624 and the common ratio is 555.

Mathematics

1 answer:

bonufazy [111]3 years ago

7 0

Answer: 4

Step-by-step explanation:

You might be interested in

There are 32 students in a class. Nine of those students are women. What percent are men?

QveST [7]

Answer:

72%

Step-by-step explanation:

you can divide part of a whole by the whole to get a decimal

this decimal is the percentage when you move the decimal 2 places to the right

32 - 9 = 23 men

23/32 = .72 (rounded)

.72 = 72%

5 0

3 years ago

Amar is five years older than his sister. The sum of their ages is 39. Find Amar's age.

Vesna [10]

Amar's age = a
sister is a - 5
add both = 39
a + (a - 5) = 39
2a - 5 = 39
2a = 44
a = 22 and sister is 17

7 0

3 years ago

Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

4 years ago

Which expression is equivalent to -8 - (-12)<br> 8 - 12 <br> -8 + 12<br> -8 - 12<br> -8 (8+12)

aleksley [76]

I need help with this too it’s confusing and I don’t understand it.

8 0

3 years ago

Read 2 more answers

Question One

Alex

Answer:

Step-by-step explanation:

Set up proportions. Make sure length and widths line up!

$\frac{12}{5} =\frac{x}{8}$

Then do butterfly method.

$12(8) = 5x$

Solve for x.

$96 = 5x\\\\x= 19.2 in$

Hope that helped!

7 0

3 years ago