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Rudik [331]
4 years ago
8

The volume of a box varies directly with its length if a box in the group has a length of 30inches and k=24 what is its volume

Mathematics
1 answer:
Masteriza [31]4 years ago
3 0

\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{\underline{v}olume varies directly with \underline{l}ength}}{V=kL}\qquad \textit{we also know that } \begin{cases} L=30\\ k=24 \end{cases} \\\\\\ V=(24)(30)\implies V=720

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If you read can read 40 pages in 2 hours, how many pages can you read in 5 hours?
Pavlova-9 [17]
You can read 100 pages in 5 hours.

40 pages in 2 hours. We need to get the unit rate. In this case, we need to get the number of pages read in 1 hour.

40 pages ÷ 2 hours = 20 pages per hour.

20 pages per hours * 5 hours = 100 pages.
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4 years ago
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What is the measure of ∡U in the figure shown? ∘
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Answer:

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Step-by-step explanation:

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3 years ago
<img src="https://tex.z-dn.net/?f=-6%20%2B%203x%20-%209x%5E%7B2%7D%3D-16" id="TexFormula1" title="-6 + 3x - 9x^{2}=-16" alt="-6
ehidna [41]

The solution of x in -6 + 3x - 9x^2 = -16 is x = \frac{3 \pm \sqrt{369}}{18}

<h3>How to solve the equation?</h3>

The equation is given as:

-6 + 3x - 9x^2 = -16

Add 16 to both sides

10 + 3x - 9x^2 = 0

Rewrite as:

9x^2 - 3x - 10 = 0

Solve for x using the quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

So, we have:

x = \frac{3 \pm \sqrt{(-3)^2 - 4 * 9 * -10}}{2 * 9}

Evaluate

x = \frac{3 \pm \sqrt{369}}{18}

Hence, the solution of x in -6 + 3x - 9x^2 = -16 is x = \frac{3 \pm \sqrt{369}}{18}

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2 years ago
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Answer:

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Step-by-step explanation:

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Pani-rosa [81]

Answer:

C.) 2 units to the right, 5 units up

Step-by-step explanation:

The graph shifts left or right when a number modifies the "x" value before it is affected by any other number/function in the equation. This number is within parentheses with the "x". Subtracting a value moves the function to the right, whereas adding a value moves the function to the left. Therefore, since 2 is being subtracted from "x", the function has been shifted 2 units to the right.

The graph shifts up or down when the y-intercept changes. The y-intercept is the "b" value in a standard function. You can identify this value by plugging in zero to "x". If this number is positive, the function is shifted upwards, and if this number is negative, the function is shifted downwards. Therefore, since there is a 5 added to the equation, the function is shifted 5 units up.

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