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masha68 [24]
3 years ago
6

Fifty metal spheres with the radius of 4 m are melted and the solution is pourded into a box with base dimension of 2 m × 6 m. F

ind the height of the cube filled with the solution.
Mathematics
1 answer:
allsm [11]3 years ago
3 0
6×2=12 so 12÷4=3
The hight is 3m.
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Dr. Newton is saving up to buy a car. She has already saved $3,000. If she wants to spend
Nuetrik [128]

Dr. Newton needs 5000 dollars, and 3000 dollars have already been saved. So, 2000 dollars remain.

If these 2000 dollars must be saved withint 8 months, we can divide the amount needed by the time given, to find out that Dr Newton needs to save

\dfrac{2000}{8}=250

dollars each month.

4 0
3 years ago
Can you help me find the perimeter
stiv31 [10]

Answer:

The formula for the perimeter of a rectangle is P = (2*width) + (2*height)

this is basically saying, since opposite sides are equal in a rectangle,

Perimeter = 5 + 5 + 6 + 6, so P = 22ft

Step-by-step explanation:

6 0
3 years ago
Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ
Georgia [21]

The y-intercept of a function is the point where the graph crosses the \mathbf{y = x^3 + 2x^2 - 193x - 270 }

  • The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
  • The y-intercept is -13.5
  • The standard equation of the function is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

<u>(a) The factors</u>

First, we write out the points where the function cross the x-axis.

The points are:

\mathbf{x = 10}

\mathbf{x = -3}

\mathbf{x = -9}

Equate the above points to 0

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

<u>(b) The y-intercept</u>

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

<u>(c) The standard form</u>

In (a), we have:

\mathbf{x -10 = 0}

\mathbf{x +3 = 0}

\mathbf{x +9 = 0}

Multiply the above equations

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}

\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }

Expand

\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }

\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }

Expand

\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }

Collect like terms

\mathbf{x^3 + 12x^2 - 10x^2+ 27x  - 220x - 270 = 0 }

\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }

Replace 0 with y

\mathbf{y = x^3 + 2x^2 - 193x - 270 }

Hence, the standard form is: \mathbf{y = x^3 + 2x^2 - 193x - 270 }

Read more about graphs and functions at:

brainly.com/question/18806107

3 0
2 years ago
Find the slope of line passing through the two points, (3, 0) and (8,0)
SVEN [57.7K]
The answer would be 0
Due to it being a horizontal line the slope could have any x coordinates but the y would always be 0
6 0
3 years ago
The graph of the function f is shown. f(5) =<br> )<br> A<br> -5<br> B)<br> -1<br> 0<br> D)<br> 5
satela [25.4K]
Where is the graph ?
4 0
3 years ago
Read 2 more answers
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