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4 years ago

Answer questions below ASAP 5-1/2x=5/8x+2

Mathematics

1 answer:

masya89 [10]4 years ago

4 0

5 - (1/2)x = (5/8)x + 2
5-2 = (5/8)x + (1/2)x
3 = (9/8)x
(8*3)/9 = x
8/3 = x
x = 2/2/3

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The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

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4 years ago

54,872 in expanded form

lina2011 [118]

Answer:

54,000+800+70+2

Step-by-step explanation:

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3 years ago

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The set of all second components of the ordered pairs is called the:

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9514 1404 393

Answer:

range

Step-by-step explanation:

An ordered pair is ...

(element of domain, element of range)

Then the set of all "element of range" is the <em>range</em>.

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<em>Additional comment</em>

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3 years ago

Last week, Riley worked 7.5 hours per day for 3 days and earned a total of $306.45.

maria [59]

Answer:

13,62$

Step-by-step explanation:

The total hours Riley worked last week: 7.5*3= 22.5 (hours)

Riley's hourly rate of pay: 306.45/ 22.5= 13.62$

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3 years ago

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The cost of renting a car is 35/we plus $0.25/mi traveled during that week. An equation to represent the cost would be y= 35+0.2

MaRussiya [10]

ANSWER

260 miles

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The equation that models the cost is

$y = 35 + 0.25x$

If you have a maximum of $100 to spend for the car rental, then we can equation the cost function to

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$0.25x = 100 - 35$

$0.25x = 65$

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Therefore the maximum number of miles you can travel is 260 miles

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