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sineoko [7]
2 years ago
9

What is the domain of the relation shown on the graph?

Mathematics
1 answer:
rosijanka [135]2 years ago
7 0

Answer:

where is the graph?........

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How much was earned after 5 hours of work?
Ugo [173]
62.5

37.5 - 25 = 13.5
3*5= 62.5
4 0
3 years ago
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Use synthetic division to find (x^2+3x–4)÷(x+4)
Jobisdone [24]

Answer:

X^2-x- 8/x+4

Step-by-step explanation:

X+4 becomes a negative 4

Then multiply -4 by the first number which is 1 so -4×1 is -4. Then subtract -4 by the second number 3. This gives you -1 so multiply that by 4 which is -4. Then subtract 4 from the third number -4. So that'll give you -8. Then add an x-value to every number except the very last number as that number will be you remainder.

7 0
3 years ago
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A machine needs 2 of its gears replaced. You find 2 gears, one manufactured 5 years ago and the other manufactured 10 years ago.
andrey2020 [161]
These are independent events so
P(A and B) = P(A) * P(B)

Therefore
P(Both gears fail) = 0.05 * 0.08 = 0.004 or 0.4%
3 0
3 years ago
Solve dis attachment and show all work ( I got it all wrong and I want to know how to solve it )
DedPeter [7]
(a) First find the intersections of y=e^{2x-x^2} and y=2:

2=e^{2x-x^2}\implies \ln2=2x-x^2\implies x=1\pm\sqrt{1-\ln2}

So the area of R is given by

\displaystyle\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\left(e^{2x-x^2}-2\right)\,\mathrm dx

If you're not familiar with the error function \mathrm{erf}(x), then you will not be able to find an exact answer. Fortunately, I see this is a question on a calculator based exam, so you can use whatever built-in function you have on your calculator to evaluate the integral. You should get something around 0.5141.

(b) Find the intersections of the line y=1 with y=e^{2x-x^2}.

1=e^{2x-x^2}\implies 0=2x-x^2\implies x=0,x=2

So the area of S is given by

\displaystyle\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}(2-1)\,\mathrm dx+\int_{1+\sqrt{1-\ln2}}^2\left(e^{2x-x^2}-1\right)\,\mathrm dx
\displaystyle=2\int_0^{1-\sqrt{1-\ln2}}\left(e^{2x-x^2}-1\right)\,\mathrm dx+\int_{1-\sqrt{1-\ln2}}^{1+\sqrt{1-\ln2}}\mathrm dx

which is approximately 1.546.

(c) The easiest method for finding the volume of the solid of revolution is via the disk method. Each cross-section of the solid is a circle with radius perpendicular to the x-axis, determined by the vertical distance from the curve y=e^{2x-x^2} and the line y=1, or e^{2x-x^2}-1. The area of any such circle is \pi times the square of its radius. Since the curve intersects the axis of revolution at x=0 and x=2, the volume would be given by

\displaystyle\pi\int_0^2\left(e^{2x-x^2}-1\right)^2\,\mathrm dx
5 0
3 years ago
Ramla bought a sheet of 100 stamps from the post office for $39. what was the price of each stamp?
erica [24]
The price of each stamp was $2.56 each because 100 divided by $39 is $2.56. 

Hope that helped:)
5 0
3 years ago
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