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NemiM [27]
3 years ago
5

A cube has side length x. One side of the cube is increased by 4 inches, and another side is doubled. The volume of

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
8 0

9514 1404 393

Answer:

  (b)  5 inches

Step-by-step explanation:

A graphing calculator makes short work of the problem. No system of equations is needed.

The volume of the new prism is ...

  V = LWH

  450 = x(x+4)(2x)

  x(2x)(x+4) -450 = 0 . . . . . equation for graphing

The only real solution is x = 5.

The side length of the original cube was 5 inches.

KengaRu [80]3 years ago
3 0

Answer:

Step-by-step explanation:

new dimensions of prism: x by (x+4) by (2x).

volume = x(x+4)(2x) = 2x³ + 8x²

2x³ + 8x² = 450

2x³ + 8x² - 450 = 0

x³ + 4x² - 225 = 0

x = 5 in

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Answer:

5 \leqslant x \leqslant 8

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2 years ago
Whats would the slope of (-3,10),(-5,-4) coordinates be?
valentina_108 [34]

Answer:

The slope is 7.

Step-by-step explanation:

Let the given points are (p, q)= (-3, 10) & (r, s) =(-5, -4).

Then the slope (m) = (s-q)/(r-p)

⇒ m = (-4 -10)/(-5-(-3))

⇒ m = (-14) / (-5 +3)

⇒ m = -14/- 2

⇒m = 7

Hence the slope is m =7 .

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How can you use mental math to find the percent of a number?
olga_2 [115]
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3 0
3 years ago
Suppose that on November 26, 2019, an ornamental bookcase handmade in Germany is priced at EUR 830. The approximate U.S. dollar
Klio2033 [76]

The <em>approximate</em> price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

<h3>How to determine the price of a good in terms of a foreign currency</h3>

Herein we have an application of <em>direct proportionality</em> model, now described:

y = k · x     (1)

Where:

  • x - Cost of the bookcase in Germany, in euros.
  • k - Currency exchange rate, in US dollars per euros.
  • y - Cost of the bookcase in the United States, in US dollars.

If we know that x = 830 EUR and k = 0.908 USD/EUR, then the cost of the bookcase in the United States is:

y = (830 EUR) · (0.908 USD/EUR)

y = 753.64 USD

The <em>approximate</em> price for an ornamental bookcase from Germany and with a cost of EUR 830 on November 26, 2019 is equal to 753.64 USD.

To learn more on currencies: brainly.com/question/14372075

#SPJ1

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2 years ago
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