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pishuonlain [190]
3 years ago
13

A price decreases from $254 to $213.36 . What is the percent of change?

Mathematics
1 answer:
sattari [20]3 years ago
8 0

16% discount, this is because 213.36-254 over the original price (254) times 100% equals -16%

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A line with a slope of 4 passes through the point (2, 1). What is the equation of this line?
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Answer:

point slope form: y - 1 = 4 (x -2)

slope intercept form: y = 4x -7

Step-by-step explanation:

If you want it in point slope form it would be: y - 1 = 4 (x -2)

but if you want it in slope intercept form, you solve this equation

y -1 = 4 (x-2)

y-1 = 4x -8

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y = 4x -7 in slope intercept form

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Find the output, k, when the input, t, is 3.<br> k = 13t - 2<br> k=
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Answer:

k = 37

Step-by-step explanation:

k = 13t - 2     Since the input, t, is 3, substitute it.

k = 13(3) -2   Multiply

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3 years ago
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A perfectly straight 24 ft tall tree grows on the edge of the bank of a 45 foot wide river. A bird sitting at the top of the tre
True [87]

Answer:

Distance covered by the bird before meeting the water is: 51.264 ft

Step-by-step explanation:

Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

distance=Vel\,* time=3\,\frac{ft}{s} *\,2\,\,s=6 \,\,ft

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.

Such hypotenuse is (using Pythagoras theorem):

hyp =\sqrt{(60\,ft)^2+(22.5\.ft)^2} =\sqrt{4106.25} \,ft=64.08\,ft

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.

The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:

So we make the proportion between known legs, and hypotenuses:

\frac{24\,ft}{30\,ft} =\frac{D}{64.08\,ft} \\D=\frac{64.08\,ft\,*\,24\,ft}{30\,ft} \\D=51.264\,ft

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Because the plant is growing the same amount each week you would take 12(3) and get 36 cm at the end of the 12 weeks.

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