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3 years ago

Write a direct variation equation that shows the relationship between x and y.

1 answer:

4 0

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} y = 15\\ x = 6 \end{cases}\implies 15=k(6)\implies \cfrac{15}{6}=k\implies \cfrac{5}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y = \cfrac{5}{2}x~\hfill$

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Luke stacked seven pieces of wood on top of each other. IF each piece was four-eighths of a foot tall, how tall was his pile?

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The answer would be 3.5 feet tall

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A package weigh 4.25 kilograms .how many grams does the package weigh

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Bill worked 24 hours last week and earns $8.25 per hour. Use front-end estimation to find an estimate of the total amount of mon

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The value in dollars, v(x), of a certain truck after x years is represented by the equation v(x) = 32,500(0.92)x. To the nearest

max2010maxim [7]

Answer:

The value of the truck is worth $27,508 after two years.

Step-by-step explanation:

We are given the following in the question:

$v(x) = 32,500(0.92)^x$

where v(x) is the value of truck in dollars after x years.

We have to estimate the value of truck after 2 years.

We put x = 2 in the equation.

$v(2) = 32500(0.92)^2\\v(2) = 27508$

Thus, the value of the truck is worth $27,508 after two years.

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3 years ago

I’ll give you brainliest for the first person with an answer

raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

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2 years ago