Answer:
Absolute value means 2 equations so work below.
Step-by-step explanation:
x + 2 = 3
x = -1
x - 2 = 3
x = 5
I hope I didn't just confuse myself it's been YEARS since i've had simple questions like this (i can edit if needed)
Steps:
1. First, divide 82 by 100, since this is what you would have originally gotten with the ratio.
82 ÷ 100 = 0.82
2. Then multiply it by 50 (since this is how many questions were on the test)
0.82 × 50 = 41 <----- (the number of questions answered correctly)
3. Now that you have the two numbers you need, you can assemble the ratio.
Answer: 41/50
Hope I Helped! <3
Answer:
Surface area of square pyramid = 380 m²
Step-by-step explanation:
Given:
Side of square base =10 m
Height of Square pyramid = 14 m
Find:
Surface area of square pyramid
Computation:
Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]
Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]
Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]
Surface area of square pyramid = 100 + 4[70]
Surface area of square pyramid = 100 + 280
Surface area of square pyramid = 380 m²
Answer:
Undefined.
Step-by-step explanation:
We want to find the slope of the graph of the equation:

At the point (9, 0).
In other words, we want to evaluate dy/dx when <em>x</em> = 9 and <em>y</em> = 0.
Find dy/dx. We can take the derivative of both sides with respect to <em>x: </em>
![\displaystyle \begin{aligned} \frac{d}{dx}\left[ x^2 - y^2\right] = \frac{d}{dx}\left [ 81\right] \\ \\ 2x - 2y \frac{dy}{dx} &= 0 \\ \\ \frac{dy}{dx} = \frac{x}{y}\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20x%5E2%20-%20y%5E2%5Cright%5D%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%20%5B%2081%5Cright%5D%20%5C%5C%20%5C%5C%202x%20-%202y%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%26%3D%200%20%5C%5C%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cfrac%7Bx%7D%7By%7D%5Cend%7Baligned%7D)
Then the slope of the graph at the point (9, 0) will be:

In conclusion, the slope of the graph at the point (9, 0) is undefined.
Answer:
$83.58
Step-by-step explanation:
2 pairs of pants costs: 32.90
3 shirts cost: 36.56
1 hat: 8.29
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Add for a Total of:_$77.75_
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Then calculate sales tax: $83.58