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irakobra [83]
3 years ago
7

I dug a hole that was 16 feet deep. My dog came and put 8 feet of dirt back into the hole but then my husband put 5 feet of dirt

back into the hole. What integer represents the depth of the hole?
Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

3 feet

Step-by-step explanation:

Initial depth = 16 feet

<u>Then:</u>

  • 16 - 8 - 5=
  • 8 - 5 =
  • 3 feet depth left
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Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol
Zigmanuir [339]

Answer:

672\pi \text{ cm}^3.

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.      

We will use volume formula of sphere to solve our given problem.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3

\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3

\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3

\text{Difference of volumes}=4\pi(168)\text{ cm}^3

\text{Difference of volumes}=672\pi\text{ cm}^3

Therefore, the difference between volumes of the spheres is 672\pi \text{ cm}^3.

3 0
4 years ago
Can someone help me please
Verizon [17]
I have solved it. Answer is B.

Hope it helps!
3 0
4 years ago
Which is an equation of the line through (-1, -4) and parallel to 3x+y=5
kherson [118]

Answer:

<h2>         b)  y = -3x - 7</h2>

Step-by-step explanation:

3x + y = 5         {subtract 3x from both sides}

y = -3x + 5         ←  slope-intercept form

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = -3x + 5    ⇒   m₁ = -3    ⇒    m₂ = -3

(-1, -4)  ⇒  x₁ = -1,  y₁ = -4

The point-slope form:

y - (-4) = -3(x - (-1))

y + 4 = -3(x + 1)

y + 4 = -3x - 3              {subtact 4 from both sides}

<h3><u>y = -3x - 7 </u><u>        ←    slope-intercept form</u></h3>
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Answer:

8x^2-25x+7

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