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LekaFEV [45]
1 year ago
15

A solar roof tile is the shape of a rectangular prism and measures

Mathematics
1 answer:
choli [55]1 year ago
4 0

Answer:

1253.75 cubic inches

Step-by-step explanation:

volume of rectangular prism = l x w x h

just multitply all the numbers together

17*59*(5/4) = 1253.75

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Work out the surface area of a sphere with the diameter of 13cm
Nikitich [7]

Answer:

That would be 530.93

Step-by-step explanation:

5 0
3 years ago
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Create a polynomial with zeros: x = {-2,3}<br> I have no idea how to do this
aliya0001 [1]

Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

x(x - 3) + 2(x - 3)

x² - 3x + 2x - 3

x² - x - 3

Polynomial = <em>x² - x - 3</em>

4 0
2 years ago
Please help and thank you. ​
Marina CMI [18]

Answer:

4.

  • 400 ft elevation at 1 km and 3 km from the start
  • 300 ft/km average rate of change over the first 4 km

5.

  • length = 3.5 cm
  • width = 3.5 cm
  • height = 7.0 cm

6.

  • 6 mo: $1018.14
  • 5 yrs: $1196.89
  • avg incr: $3.28 per month

Step-by-step explanation:

<h3>4.</h3>

A graphing calculator is handy for solving problems involving cubic polynomials. You're interested in where the elevation is 400 ft. Since the value of f(x) is in hundreds of feet, you want to find x such that f(x) = 4.

Values of x where that is the case are x=1 and x=3, representing distances of 1 km and 3 km from the start of the road.

The average rate of change of elevation is the difference in elevation divided by the difference in distance from the start:

  average rate of change = (f(4) -f(0) hundred ft)/((4 - 0) km)

  = (19 -7)/4 hundred feet/km

  = 12/4  hundred feet/km = 300 ft/km

___

<h3>5.</h3>

You want to find x when ...

  A(x) = 122.5 cm²

  10x² = 122.5 cm² . . . . substitute the given expression for A(x)

  x² = 12.25 cm² . . . . . . divide by 10

  x = √(12.25 cm²) = 3.5 cm . . . . take the square root

The diagram tells you ...

  length = width = x = 3.5 cm

  height = 2x = 7.0 cm

___

<h3>6.</h3>

Evaluate the given expression for the different values of m:

  $1000·1.003^6 ≈ $1018.14 . . . . 6-month value

  $1000·1.003^60 ≈ $1196.89 . . . . 5-year value

The increase is $1196.89 -1000.00 = $196.89. That increase took place over 60 months, so the average increase per month is ...

  $196.89/(60 mo) ≈ $3.28 per mo . . . . average per month over 5 years

8 0
3 years ago
Biscuits Betty uses 5 1/3
Aleonysh [2.5K]
Gabby's recipe calls for 3 1/3 pounds of flour. If you divide 3 1/3 by 1/6, you get 5 measuring cups full. (1/3 is 2/6 so you add 2+3)
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If x + y is rational, must x and y each be rational?
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No.

If a rational number can be an integer, x and y could be 5.5 and .5, or something that adds up to (number).0.  This means, if the two non-rational numbers add up, they could be irrational, but the result isn't.
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