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insens350 [35]
3 years ago
14

An office upgrades its internet speed from 15^6 bits per second to 15^9 bits per second. How many times greater is the new inter

net speed? The new internet speed is times greater.
Mathematics
2 answers:
Crank3 years ago
4 0

Answer:

So 15^6 is the same thing as 15x15x15x15x15x15

and 15^9 is the same thing as 15x15x15x15x15x15x15x15x15

so the internet speed is 3 times greater

Step-by-step explanation:

Anni [7]3 years ago
3 0

Answer:

The new internet speed is 3375 times greater.

Step-by-step explanation:

Internet speed from:

15^6  bits per second

to 15^9  bits per second

How many times greater is the new internet speed?

Ratio between the new internet speed by the old one.

$\frac{15^9}{15^6} = 15^3=3375$

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Find the length of the darkened arc. Leave your answer in terms of pi.​
jonny [76]

Answer:

\frac{15 }{4}  \pi \:

Step-by-step explanation:

Radius of circle (r) = 18/2 = 9 ft

Central angle = 180° - 30° = 150°

length \: of \: arc  \\ =  \frac{150 \degree}{360 \degree}  \times 2\pi \: r \\  \\  = \frac{150 \degree}{360 \degree}  \times 2 \times \pi \: \times  9\\  \\  = \frac{5 }{12 }  \times 18 \times \pi \: \\  \\  = \frac{5 }{4}  \times 3\times \pi \:\\  \\  = \frac{15 }{4}  \pi \:

6 0
4 years ago
1)-5.5 - 11.2 =<br> on<br> a.) 5.7<br> b.)-5.7<br> c.) 16.7<br> d.) -16.7
Bingel [31]

Answer:

C

Step-by-step explanation:

-5.5-11.2

change the subtraction to addition

5.5+11.2= 16.7

6 0
3 years ago
Read 2 more answers
Use the method of completing the square to solve y²+y-7=0​
barxatty [35]

Answer:

y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

Step-by-step explanation:

Solve for y:

y^2 + y - 7 = 0

Add 7 to both sides:

y^2 + y = 7

Add 1/4 to both sides:

y^2 + y + 1/4 = 29/4

Write the left hand side as a square:

(y + 1/2)^2 = 29/4

Take the square root of both sides:

y + 1/2 = sqrt(29)/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

y = sqrt(29)/2 - 1/2 or y + 1/2 = -sqrt(29)/2

Subtract 1/2 from both sides:

Answer: y = sqrt(29)/2 - 1/2 or y = -1/2 - sqrt(29)/2

4 0
4 years ago
Read 2 more answers
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Oduvanchick [21]
The ratio of the frequency at which he picks blue is 18:32 which simplifies to 9:16 but if you want a percentage its 36%
7 0
4 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cint%20%5Cfrac%7Bdx%7D%7Bxln%5E%7Bp%7Dx%20%7D" id="TexFormula1" title=" \int \frac{dx}{xl
Eva8 [605]
Substitute u=\ln x, so that \mathrm du=\dfrac{\mathrm dx}x. The integral is then equivalent to

\displaystyle\int\frac{\mathrm dx}{x\ln^px}=\int\frac{\mathrm du}{u^p}=\begin{cases}\dfrac{u^{p+1}}{p+1}+C&\text{for }p\neq1\\\\\ln|u|+C&\text{for }p=1\end{cases}

Then transforming back to x gives

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4 0
3 years ago
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