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Stella [2.4K]
3 years ago
11

A solution contains 2 1/2 cups of colored dye for every 2/5 quart of water. How many cups of colored dye are used for every 1 qu

art of water?
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

6 1/4 of colored dye

Step-by-step explanation:

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What is the vertex of the graph of f(x) = |x – 13| + 11?
dybincka [34]

Answer:

The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).

Step-by-step explanation:

There is something called absolute value in the given function. It means two equations will result from it.

When (x -13) > 0 the resultant equation is

y = f(x) = x - 13 + 11 = x - 2 - This will be the first equation

or  

When (x - 13) < 0 the resultant equation is

y = f(x) = -(x - 13) + 11 = -x + 24 - This will be the second equation.

The intersection of these lines will give the vertex as found by solving both equations at the same time.  

y = x - 2

y = -x + 24

_________

2y = 0 + 22

y =  \frac{22}{2} = 11

Replacing the value of y for any one;

x = 11 + 2 = 13 (first one)

x = 24 - 11 = 13 (second one)

The vertex is (13, 11)

8 0
2 years ago
Read 2 more answers
Factor each trinomial.<br>1. x2 + 7x + 10​
Pani-rosa [81]

Answer:

I dont know about you, but my teacher taught me to use MAN

M= 10 (the c value)

A= 7 (the b value)

N= +5, +2 (two numbers that multiply and add to give you 10 and 7. For example, 5 times 2= 10 and 5 plus 2 = 7)

ANSWER: (x+5)(x+2)

if you have any questions let me know.

7 0
3 years ago
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Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o
tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is,  h=-8t^2+40t  , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

\frac{dh}{dt} =0

Now the differentiating the equation with respect to time t, we get

\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)

\frac{dh}{dt}=-16t+40

For maximum height,  \frac{dh}{dt} =0

So, -16t+40=0

 \Rightarrow 16t=40

\Rightarrow t=\frac{40}{16}

\Rightarrrow t = 2.5

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0
3 years ago
A tomato is cut into 8 slices. If each slice contains 0.12 grams of fiber, how can rounding be used to estimate the amount of fi
aliya0001 [1]

Answer:

A

Step-by-step explanation:

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3 years ago
Identify the problem with the following study. It was found that a third of all people in the United States live in urban center
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Small sample, because there needs to be more that just three people to determine if the study is true.
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