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aliina [53]
2 years ago
12

A spherical ball of wax with a radius of 8 inches is melted and poured into a container shaped like a rectangular prism with a 1

4 inch x 16 inch base. What is the height of the melted wax in the new shape
Mathematics
1 answer:
avanturin [10]2 years ago
3 0

It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.

<h3>What is the volume of the spherical ball?</h3>

The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:

  • V = 4/3 π8³
  • V = 4/3 π 512
  • V= 4/3 x 3.1416 x 512
  • V =2144.66 cubic inches

<h3>What is the height of the new shape?</h3>

Considering the volume should be the same  (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:

  • 2144.66 = 14 x 16 x y ( unknown value)
  • y= 2144.66 / 14 x 16
  • y = 9.57

This means the height would be 9.57 inches.

Learn more about volume in: brainly.com/question/1578538

#SPJ1

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Scott walks to and from school each day. Each round trip is 3 kilometers long.
natka813 [3]

The equation that shows the relationship between the number of round trips, x and the number of kilometers, y Scott walked is y = 3x

Each round trip = 3 km

x = number of rounds

y = number of km he has walked in all.

1 rounds  = 3 km

Therefore,

x rounds = 3x km

Each round of trip covers 3km. This means for each round of trip a distance of 3km is covered. The total distance or number of kilometers is represented with y.

The equation to show the relationship between x(number of rounds) and y (number of km) can be represented below

  • y = 3x

read more: brainly.com/question/14197865?referrer=searchResults

8 0
3 years ago
What is the mean absolute?
alex41 [277]

Answer:

mean absolute deviation is <em>8</em>

Step-by-step explanation:

to find mean absolute deviation, you subtract your mean from each of your values, and make them all positive, (even if u get a negative..)

then you add all your new answers up and divide by how many numbers there are (basically just find mean of your new set of data...)

<em>Hope this helps you in the future!!</em>

7 0
3 years ago
If a rectangle has a perimeter of 70 and width of 21, what is the length
shusha [124]
 The length would be 49 
7 0
3 years ago
Which of the following is the equation of a line parallel to the line y = 3x + 2,
earnstyle [38]

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 is in this form with slope m = 3

• Parallel lines have equal slopes, hence

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (10, 1) into the partial equation

1 = 30 + c ⇒ c = 1 - 30 = - 29

y = 3x - 29 ← in slope- intercept form

Subtract y from both sides

0 = 3x - y - 29 ( add 29 to both sides )

29 = 3x - y, thus

3x - y = 29 ← in standard form → B

3 0
3 years ago
If someone could please answer all 3 points (20 points)
Aleksandr [31]

The missing parts of the table for the function are 49, 1 and 49 respectively

<h3>How to complete the missing parts of the table?</h3>

An exponential function is a type of function which involves exponents. A simple exponential function is of the form y = bˣ

Given:  the exponential function y = (1/7)ˣ

In order to find the missing parts, we have to substitute the relevant values into the function. Thus:

For x = -2:

y = (1/7)ˣ

Substitute x = -2 into the function:

y = (1/7)⁻² = 49

For x = 0:

y = (1/7)ˣ

Substitute x = 0 into the function:

y = (1/7)⁰ = 1

For x = 2:

y = (1/7)ˣ

Substitute x = 2 into the function:

y = (1/7)² = 1/49

The missing part is 49

Therefore, the missing parts of the table are 49, 1 and 49 respectively

Learn more about exponential function on:

brainly.com/question/27161222

#SPJ1

7 0
1 year ago
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