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3 years ago

12

Find the values of c such that the area of the region bounded by the parabolas y = 16x2 − c2 and y = c2 − 16x2 is 144. (Enter yo

ur answers as a comma-separated list.) c =

1 answer:

natita [175]3 years ago

8 0

Y=16*2 -c*2
y=32-2c
y=-2c+32
c= - (y-32)/2

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It takes Olivia 12.5 minutes to swim 20 laps around the pool what's Olivia's unit rate

Tom [10]

Her swimming rate can either be written as 1.6 laps per (one) minute or as 0.625 minutes per lap = 37.5 seconds per (one) lap.
In terms of number of laps per minute, the answer is
20
laps
12.5
minutes
=
1.6
laps per minute.

In terms of the number of minutes per lap, the answer is
12.5
minutes
20
laps
=
5
8
=
0.625
minutes per lap. This is the same as
0.625
min
lap
⋅
60
sec
min
=
37.5
sec
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The faster she goes, the more laps she can do in a minute and the fewer minutes (or seconds) it takes her to do one lap.

6 0

3 years ago

Gina had a scrambled egg and a cup of low-fat milk for breakfast. She had an oat bran muffin for a morning snack. Grams of Prote

Softa [21]

Answer:

She takes 11 grams more protein for breakfast than for a snack.

Step-by-step explanation:

Consider the provided information.

Gina had a scrambled egg and a cup of low-fat milk for breakfast.

She had an oat bran muffin for a morning snack.

First round up the numbers as shown below:

Food Protein (in grams) 1 scrambled egg 6.71 ≈ 7

1 cup shredded wheat cereal 5.51 ≈ 6

1 oat bran muffin 3.98 ≈ 4

1 cup low-fat milk 8.22 ≈ 8

Protein in Breakfast = a scrambled egg + a cup of low-fat milk

Protein in Breakfast = 7+8 = 15

Morning snack she had an oat bran muffin.

Protein in Morning snack = 4

Now we need to find how many more grams of protein did Gina have for breakfast than for a snack?

So subtract them as shown below:

15-4 = 11

Hence, she takes 11 grams more protein for breakfast than for a snack.

5 0

3 years ago

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Elena L [17]

Answer:

There are 4 quarts in a gallon

Step-by-step explanation:

7 0

3 years ago

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katrin2010 [14]

Answer:

$X - 6 \leq\ 52$

Step-by-step explanation:

Six subtracted from a number is written as a number (x, or any other variable) - 6. At most means the maximum amount it could be is 52, so a greater than or less than sign wouldn’t do. It would have to be a less than or equal to sign because you are saying AT MOST. Lastly, there is a 52 at the end to represent what the expression would equal! Hope it helps! (:

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2 years ago

It's the 10th day of autumn and the first leaf has fallen! If the number of leaves on the ground is

Darya [45]

Answer:

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Step-by-step explanation:

1 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4

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3 years ago