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romanna [79]
3 years ago
5

WILL MARK BRAINLIST ! Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 20003π in3. One day th

e sink clogged, so she had to use a cup to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
The cup is a cone with a diameter of 4 inches and a height of 8 inches. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round to the nearest whole number.

BE SURE TO SHOW YOUR WORK or THINKING for full credit
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0

Answer:

63 cups of water.

Step-by-step explanation:

The volume of a cone is V = 1/3πr²h. The diameter of the cup is 4, the radius of the cup is 2, so the volume is:

1/3π×8×2²

8/3π×4 = 32π/3.

Divide the volume of the sink by the volume of the cup:

2000π/3 ÷ 32π/3 = 6000π/96π = 62.5.

You might be interested in
Boston, Massachusetts had a population of 617,594 people during January 1 2010, and 675,647 people on January 1 2020.
tigry1 [53]

Answer:

  • See below

Step-by-step explanation:

<u>Exponential function is:</u>

  • y = abˣ

<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>

  • 675647 = 617594*b¹⁰

<u>Find the value of b:</u>

  • b¹⁰ = 675647/617594
  • b¹⁰ = 1.09399864636
  • b = 1.09399864636^(1/10)
  • b = 1.009 (rounded)

<u>The equation we got is:</u>

  • y = 617594*1.009ˣ

Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.

5 0
1 year ago
Very confusing i know
777dan777 [17]

Answer:

  • (x + 10)² + (y + 4)² = 232

Step-by-step explanation:

<h3>Given </h3>
  • Center = (-10, -4)
  • Point on circle = (4, 2)
<h3>To find </h3>
  • The equation of circle
<h3>Solution</h3>

<u>Remember the standard equation of circle:</u>

  • (x - h)² + (y - k)² = r², where (h, k) is the center and r is radius

<u>We have</u>

  • h = -10, k = -4

Use distance formula (Pythagorean theorem) to work out the length of the radius. We know that radius is the distance from the center to any point on the circle.

<u>Here we are finding the distance between points (-10, -4) and (4, 2)</u>

  • r² = (-10 - 4)² + (-4 - 2)²
  • r² = 14² + 6²
  • r² = 232

<u>So the equation is:</u>

  • (x + 10)² + (y + 4)² = 232
7 0
3 years ago
Nathan goes to the store and buys 2 shorts and 4 shirts for 70$. He later goes to the same store and buys 3 shorts and 3 shirts
Roman55 [17]

Answer:

Each item of clothing costs $12.50

6 0
2 years ago
HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 50 points!
riadik2000 [5.3K]

1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

<h3>What is the Equation of a Line?</h3>

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1

4 0
2 years ago
Everything is in the picture PLEASE HELP me ASAP​
Anna007 [38]

Answer:

77

Step-by-step explanation:

13×7=91

91-(3×4)-(1×2)

91-12-2

77

7 0
2 years ago
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