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enyata [817]
3 years ago
9

Unit rate of 50 meters in 27.5 seconds

Mathematics
2 answers:
worty [1.4K]3 years ago
4 0

Calculate:

50 meters

----------------- = 1.82 m/sec, or 20/11 m/sec

 27.5 sec

ElenaW [278]3 years ago
3 0

50 meters/27.5 seconds = 1.818 meters /sec

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Given that f(x)=2x+2 evaluate f(1)+f(5)
Svetlanka [38]

Answer:

16

Step-by-step explanation:

To solve this, you need to evaluate the function at f(1), which just means that you have to plug in 1 for any x you see in the equation. For example, here f(1) = 2(1) + 2 which simplifies to 4. Next find f(5). By doing the same process you will find that this is 12. The problem asks for f(1) + f(5) so by putting those values in you will get 4+12=16. Hope this helps! :)

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3 years ago
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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


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Answer:

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A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.

subtotal --> $18.61

tip --> $3.72

18.61 x 0.20 = 3.72

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3 years ago
Clarissa sells handmade bracelets for each. The graph below shows her profits after expenses.
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It represents how many bracelets she sold and the profit she makes from it.
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