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BlackZzzverrR [31]
3 years ago
7

If a randomizer picks seven letters from the alphabet (with repeats allowed), how many possible outcomes are there?

Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

7×26=182

Step-by-step explanation:

I'm pretty sure that's the right answer but I just multiplied 26 by 7. Hope that helped!

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If a piece of wood with a length of five feet is cut into six equal pieces, what is the length of each piece?
GenaCL600 [577]

Answer:

The length is 0.83

Step-by-step explanation:


6 0
3 years ago
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for sev
kotykmax [81]

Answer:

105 frames

Step-by-step explanation:

Given that 25 frames are played per second

25 frames= 1 sec

The video already played 3 and 2/5 seconds before the player started to count 0

Write 3 and 2/5 seconds as an improper fraction

=(5*3)+2 / 5 = 17/5 seconds

Multiply by 25 frames

17/5 *25 =85 frames

So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.

190-85=105 frames.

7 0
3 years ago
Read 2 more answers
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
You can spend up to $35 on a shopping trip.
VMariaS [17]
A. 35 greater than or equal to 14 + x
    35 - 14 = 21
    x = $21
b. If the shirt is 30% off it would cost $9.80
    14 x 0.3 = 4.2
    14 - 4.2 = 9.8
    35 is greater than or equal to 9.80 + x
    35 - 9.8 = 25.2
    x = $25.20
    This changes the inequality by making x greater than it was in part a
c. Yes, you do have enough money to buy the shirt that is on sale and a pair of pants. x is the amount that you have left to spend after you buy the shirt that is on sale. 25.20 is greater than the cost of the pants.
7 0
3 years ago
Why would 6% as a fraction be 6/100?
dangina [55]
Well, percent (%) means per hundred, and your number is 6. Therefore, you have 6 per hundred, or 6/100. Also, when you have a percent and want to convert it into a fraction, you must divide the percent by 100, so you could just put the six over 100 since the line between the numerator and denominator basically means division.
3 0
3 years ago
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