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egoroff_w [7]
3 years ago
12

For the given function f(x) = 2.6x + 4.3, x is the number of years since 2000 and y (or f(x)) is the percent of students taking

at least one online course. Find f(5) and describe in words what this means. Find f(5).
Mathematics
1 answer:
dsp733 years ago
7 0

Answer:

  in 2005, 17.3 percent of students are taking at least one online course

Step-by-step explanation:

f(5) = 2.6(5) +4.3 = 17.3

The definition of the function f(x) tells you that f(5) = 17.3 means 5 years after the year 2000, 17.3 percent of students are taking at least one online course.

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Set

\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta

The region R is given in polar coordinates by the set

R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}

So we have

\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}

8 0
3 years ago
Find the distance of the line segment joining the two points (-4 /2 - /12) and (/32, 2/3)
astraxan [27]

Answer: 4\sqrt{3} .

Step-by-step explanation:

Distance formula : Distance between points (a,b) and (c,d) is given by :-

D=\sqrt{(d-b)^2+(b-a)^2}

Distance between points (-4\sqrt{2},\sqrt{12}) \text{ and }(-\sqrt{32}, 2\sqrt{3}).

D=\sqrt{(2\sqrt{3}-(-\sqrt{12}))^2+(-\sqrt{32}-(-4\sqrt{2}))}\\\\=\sqrt{(2\sqrt{3}+\sqrt{2\times2\times3})^2+(-\sqrt{4\times4\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}-\sqrt{2^2\times3})^2+(-\sqrt{4^2\times2}+4\sqrt{2})^2}\\\\=\sqrt{(2\sqrt{3}+2\sqrt{3})^2+(-4\sqrt{2}+4\sqrt{2})^2}\\\\=\sqrt{(4\sqrt{3})^2+0}\\\\=4\sqrt{3}\text{ units}

Hence, the correct option is 4\sqrt{3} .

3 0
3 years ago
What is x when 2(x+3)=x-4
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Answer:

x=-10

Step-by-step explanation:

First, use distribution to simplify

2(x+3)=x-4\\2x+6=x-4

Then, simplify further by combining like terms

2x+6=x-4\\2x+10=x\\10=-1x

Solve

10=-1x\\x=-10\\

8 0
2 years ago
Carlos is arranging books on shelves. He has 24 novels and 16 autobiographies. Each shelf will have the same number of novels an
Svetradugi [14.3K]
Carlos will use 8 shelves with 3 novels and 2 autobiographies on each.
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3 years ago
6. The total cost of materials to build the foam
Sophie [7]

Answer:

Cost of Material per square foot = $1.7

Step-by-step explanation:

Given:

Length = 24

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TSA of pit = 2[bh + hl] + lb

TSA of pit = 2[(12)(6.5) + (24)(6.5)] + (24)(12)

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Cost of Material per square foot = 1,285.20 / 756

Cost of Material per square foot = $1.7

4 0
3 years ago
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