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Law Incorporation [45]
3 years ago
6

1.3.2 checkup - lessons learned

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

y=2/3x-4

Step-by-step explanation:

we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.

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Hannah has 36 space rocks total. How many more purple rocks Does Hannah have been blue rocks?
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Answer:

12 purple rocks

24 blue rocks

Step-by-step explanation:

<u>2/3 blue</u>

<u>1/3 purple</u>

36/3 = 12

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3 years ago
Find the slope of the following equation:<br><br> y = 2x + 4
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Answer:

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Step-by-step explanation:

0=2x-4

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SCORPION-xisa [38]

The trick to calculating the area here is to subdivide the diagram into smaller parts. For example, there's a 3 cm-by-3cm square. The rectangle is 4 cm by 8 cm.. The triangle has a base of 5 cm and a height of 3 cm.

Total area = area of square + area of rectangle + area of triangle

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3 years ago
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Irina-Kira [14]

The definition of the set E gives you a natural choice for the limits in the integral:

\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x \int_{x-y}^{x+y} y \, dz \, dy \, dx

Computing the integral, we get

\displaystyle \iiint_E y \, dV = \int_0^6 \int_0^x y ((x+y)-(x-y)) \, dy \, dx = 2 \int_0^6 \int_0^x y^2 \, dy \, dx

\displaystyle \iiint_E y \, dV = 2 \int_0^6 \frac13 (x^3 - 0^3) \, dx = \frac23 \int_0^6 x^3 \, dx

\displaystyle \iiint_E y \, dV = \frac23 \cdot \frac14 (6^4 - 0^4) = \boxed{216}

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