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kvasek [131]
3 years ago
5

Find the number of possible outcomes Five books need to be placed on a shelf. You randomly arrange the books on the shelf from l

eft to right.
Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

Answer:

120

Step-by-step explanation:

Let's say you put them on the shelf one by one, from left to right.

You can pick 1 of the 5 for the first position.

5

Now you have 4 books left. You pick one out of those 4 for the second position.

5 * 4

There are 3 choices left for the 3rd position.

5 * 4 * 3

2 left for the 4th position.

5 * 4 * 3 * 2

Finally, there is one book left for the 5th position.

5 * 4 * 3 * 2 * 1

Now we multiply:

5 * 4 * 3 * 2 * 1 = 120

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Y=2+ square root of x-8 solve for x
gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

y = 2√(x-8)

y² = 4(x-8) = 4x-32

4x = y²+32

x = 0.25y² +8

5 0
3 years ago
Find each missing angle measure<br> 3=<br> 4=
Yanka [14]

Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

6 0
3 years ago
Annalise earns $4 an hour walking pets in her neighborhood. She evaluates the expression 4h, where h represents the number of ho
goldfiish [28.3K]

Answer:

Yes any number can be substituted for h

Step-by-step explanation:

The term 'h' is an independent variable any number can be substituted for h, so long as the number represents the hours worked

So if she walks pets for 8 hours

Her pay is 4*8= $32

5 0
3 years ago
Find the y-intercept of each exponential function and order the functions from least to greatest y-intercept.
kvv77 [185]

Answer:

Keep the exact order that is shown

Step-by-step explanation:

The first exponential already has a point at (1, -2) which means the y-intercept would be less than -2, which is the lowest among the three


The second has a y-int at -2

Third has y-int at 2

4 0
2 years ago
He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is
PolarNik [594]

Complete question :

Chef Charming and his mother sell cheese steak sandwiches at their food truck. They use fresh onions, and cook them slowly to caramelize them before putting them on their sandwiches.

Charming found a pre-cooked onion that was $8.3 per pound AP$, with 100% Yield. He wants to save money but isn't sure if that is a better deal than cooking the fresh onions himself.

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is the EP$ for the fresh onions, after caramelizing?

Answer:

$3.74

Step-by-step explanation:

Cost of fresh onions = $1.87 per pound

Percentage yield = 100% after caramelizing

Therefore EP$ for the fresh onions after caramelizing will be :

(1 + percentage yield) * cost of fresh onions

(1 + 100%) * $1.87

(1 + 1) * $1.87

2 * $1.87

= $3.74

3 0
3 years ago
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