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fgiga [73]
3 years ago
10

Convert 25.9 miles to km.

Mathematics
1 answer:
VMariaS [17]3 years ago
7 0
25.9 miles is 49.68 kilometres
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Best and correct answer gets brainliest!!!
dmitriy555 [2]
59 degrees!
because you set up your problem: 3c+2+2c-7=90
then combine all like terms: 5c-5=90
Add 5 to both sides: 5c=95
then divide both sides by 5: c=19
Plug in your answer: 3(19)+2=59
8 0
3 years ago
Write a compound inequality that represents the annual profits P ( in millions or dollars) from 2006 to 2013.
alisha [4.7K]

Answer:

(50000000 ≤ P ≤ 90000000)

Step-by-step explanation:

The chart represents annual profits in millions of dollars. From the chart, the least annual profit is 50 million dollars and that was is the year 2009.

The highest annual profit is 90 million dollars and that was is the year 2012.

The compound inequality representing the annual profits P(in millions or dollars) from 2006 to 2013 would be

(50000000 ≤ P ≤ 90000000)

7 0
3 years ago
Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4
arsen [322]

we are given

R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k

now, we can find x , y and z components

x=cos(8t),y=sin(8t),z=8ln(cos(t))

Arc length calculation:

we can use formula

L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt

x'=-8sin(8t),y=8cos(8t),z=-8tan(t)

now, we can plug these values

L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt

now, we can simplify it

L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt

L=\int _0^{\frac{\pi }{4}}8sec(t) dt

now, we can solve integral

\int \:8\sec \left(t\right)dt

=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|

now, we can plug bounds

and we get

=8\ln \left(\sqrt{2}+1\right)-0

so,

L=8\ln \left(1+\sqrt{2}\right)..............Answer

5 0
3 years ago
Which of the following equations matches the function shown above?
Ksenya-84 [330]

So, the function is obviously shifted up by 1 so it rules out A and B, and we also see that the period is 4pi rather than 2pi, and using the fact that:

\frac{2\pi}{b}=4\pi \implies \frac{b}{2\pi}=\frac{1}{4\pi}\implies b=\frac{1}{2}

Now that we know our b value, we see that the correct answer would be C.

3 0
3 years ago
What are the integer solutions to the inequality below?<br> 9 &lt;_ 2x – 1&lt; x +7
kompoz [17]
the answer is 010/99 hsndnejdi
6 0
3 years ago
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