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Lisa [10]
3 years ago
6

Is shipping box is a shape of a cube. Each side measures 3c^6d^2 inches. Express the volume of a cube has a monomial.

Mathematics
2 answers:
liubo4ka [24]3 years ago
9 0
Length of each side of cube is = 3c^6d^2

SO the volume of cube = (Side)^3
                                      = (3c^6d^2)^3
                                      = 27 * (c^6)^3(d^2)^3
                                      = 27c^{18}d^6

SO the volume of cube is 27c^{18}d^6
Jaybans2 years ago
0 0

(3c^6d^2)^6

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Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three
snow_tiger [21]

Answer: 0.008

Step-by-step explanation:

We have 3 experiments.

Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".

in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:

p = 1/5.

And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:

P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008

3 0
2 years ago
The quotient of q and 14 is less than 28
deff fn [24]

Answer:

q<392

Step-by-step explanation:

First, we turn words into an inequality. Then, we solve for q.

\frac{q}{14}

It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.

3

The value satisfies the equation, so this should be correct.

8 0
3 years ago
What is the measure of ZR in APQR? Round to the
geniusboy [140]

Answer:26°

Step-by-step explanation:

6 0
3 years ago
Write the log equation as an exponential equation
Serjik [45]

Answer:

(z+5)^{(3x+4)}  = 9

Step-by-step explanation:

Tip: When log_{a} b = c, a^{c} =b is also true.

log_{z+5} (9) = 3x+4   | <em>Original equation</em>

(z+5)^{(3x+4)}  = 9      | <em>Use tip</em>

7 0
3 years ago
Read 2 more answers
A rectangle has a length of 17 less than 6 times it's width. If the area of the rectangle is 7585 square feet find the length of
anzhelika [568]

9514 1404 393

Answer:

  205 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is (6w-17) and the area is ...

  A = LW

  7585 = (6w-17)(w)

  6w² -17w -7585 = 0

Perhaps most straightforward is using the quadratic formula to solve this.

For ax² +bx +c = 0, the solution is x = (-b±√(b²-4ac))/(2a). For the above quadratic, the solution is ...

  x=\dfrac{-(-17)\pm\sqrt{(-17)^2-4\cdot6\cdot(-7585)}}{2\cdot6}=\dfrac{17\pm\sqrt{182329}}{12}\\\\x=\dfrac{17\pm427}{12}=\{-34\frac{1}{6},37\}

The width is 37 feet, so the length is ...

  6(37) -17 = 205 . . . feet

The length of the rectangle is 205 feet.

8 0
2 years ago
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