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telo118 [61]
3 years ago
5

What is the difference between the mean high and mean low temperature for this 5-day period?

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

the mean high temperature is 71 degrees and the mean low is 31 degrees

Step-by-step explanation:

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AleksandrR [38]

Answer: 80

Step-by-step explanation:

50+50=100

180-100=80

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For the expression 34- 34a to have a negative​ value, what must be true about the value of a ​?
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a>0

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A system of equations consists of a line s of the equation y = x - 5 that is graphed in orange, and a line t that passes through
diamong [38]

Answer: um what grade are you in

Step-by-step explanation:

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3 years ago
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The ratio of the quantities of flour and sugar needed to bake a cake is 1:5. What is the quantity of sugar needed for cake, if 7
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4 0
3 years ago
Integrate the following
enot [183]

I suppose you mean to have the entire numerator under the square root?

\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx

We can use a trigonometric substitution to start:

x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt

Then for x=2, t=\sec^{-1}1=0; for x=4, t=\sec^{-1}2=\frac\pi3. So the integral is equivalent to

\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt

We can write

\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t

so the integral becomes

\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}

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3 years ago
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