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ahrayia [7]
3 years ago
10

Alison has 1/2 cups of yogurt for making fruit parfaits . Each parfait requires 1/8 cup of yogurt. How many parfaits can she mak

e?
Mathematics
2 answers:
Bingel [31]3 years ago
8 0
Divide 1/2 by 1/8. To divide two fraction flip one of them and multiply.

(1/2)*(8/1)=8/2=4. So she can make 4 parfaits

scoundrel [369]3 years ago
4 0
4/8 is equal to 1/2

So she can make 4 if she only needs 1/8 cup per parfaits.
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4th quadrant is positive x (cos) and negative y (sin)

Use the Pythagorean Theorem to calculate the value of y (sin).
x² + y² = c²
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25 + y² = 169
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Since the y-value is negative in the 4th quadrant, then y = -12
6 0
3 years ago
You run one lap around a mile track every eight minutes you're friend runs around the same track every 10 minutes. You both star
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3 years ago
Help? with complete solution​ please help me please
serious [3.7K]

9514 1404 393

Answer:

  1. 13 ft
  2. (a) 1 second; (b) t = 0, t = 1/2

Step-by-step explanation:

<h3>1. </h3>

Let w represent the length of the wire. Then the height of attachment is (w-1). The Pythagorean theorem tells us a relevant relation is ...

  5² +(w -1)² = w²

  w² -2w +26 = w² . . . . . . . eliminate parentheses, collect terms

  26 = 2w . . . . . . . . . . . . add 2w

  13 = w . . . . . . . . . . . . divide by 2

The length of the wire is 13 feet.

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<h3>2. </h3>

(a) When h = 0, the equation is ...

  0 = -16t^2 +8t +8

Dividing by -8 puts this into standard form:

  2t^2 -t -1 = 0

Factoring, we get ...

  (2t +1)(t -1) = 0

The positive value of t that makes a factor zero is t = 1.

It will take 1 second for the gymnast to reach the ground.

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(b) When h = 8, the equation is ...

  8 = -16t^2 +8t +8

Subtract 8 and divide by 8 to get ...

  0 = -2t^2 +t

  0 = t(1 -2t) . . . . factor out t

Values of t that make the factors zero are ...

  t = 0

  t = 1/2

The gymnast will be 8 feet above the ground at the start of the dismount, and 1/2 second later.

8 0
2 years ago
Explain the relationship between the area and the radius of a circle.
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Area of a Circle: The area of a circle is the amount of space the circle takes up. To compute the area of a circle, we use the formula a=πr^2 where r is the radius of the circle.

Radius: The radius of a circle is the distance from the center of the circle to any point on the circle.

5 0
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Claim: Fewer than 92% of adults have a cell phone. In a reputable poll of 1207 adults, 85% said that they have a cell phone. Fin
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Answer:

- 6.547

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Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

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Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

6 0
2 years ago
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