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3 years ago

An encyclopedia has eight volumes. In how many ways can the eight volumes be replaced on the shelf? Explain.

1 answer:

7 0

Imagine there are 8 spots on the shelf. Replace the volumes one by one. The first volume to be replaced could go in any one of the eight spots. The second volume to be replaced could then go in any one of the seven remaining spots. The third volume to be replaced could then go in any one of the six remaining spots. etc So the total number of ways the eight volumes could be replaced = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320

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Y=x-5; domain = {4,6,8}

Lostsunrise [7]

Answer:

Range = {-1, 1, 3}

Step-by-step explanation:

<u><em>The question asks for the range.</em></u>

The function given is

$y=x-5$

The domain is the set of 3 numbers:

Domain = {4,6,8}

We need to find the range.

First, the range is the set of all y-values for which the function is defined.

When we will be given the domain with a set of numbers, the range would be the numbers that we get when we evaluate the the function at those numbers.

So, we evaluate the function (y-values) at x = 4,6, and 8.

At x = 4:

$y=x-5\\y=4-5\\y=-1$

At x = 6:

$y=x-5\\y=6-5\\y=1$

At x = 8:

$y=x-5\\y=8-5\\y=3$

Thus, the range is:

Range = {-1, 1, 3}

7 0

3 years ago

A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a l

Papessa [141]

Answer:

I couldn't see the picture it is black

Step-by-step explanation:

the formula for the area of a trapezoid is:

$\frac{b1+b2}{2} h$

insert 7 for b1, 13 for b2, and 10 for h

$\frac{7+13}{2} 10$

100

Hope that helps

8 0

2 years ago

Katie has a cat named

almond37 [142]

Answer:

1/2 a cup or 0.5 cups per serving

Step-by-step explanation:

If you were to divide 7 by 14 you would get 0.5. The reason as to why you would divide 7 by 14 is because if she eats twice a day that would be 7 more times then if she were to be fed once a day. So if you were to feed her twice a day that would be 14 times a week.

Don't think this helped at all but I tried my hardest, sorry if you get your problem wrong. Hope you have a good day :D

4 0

3 years ago

The graph shown _____ So, the graph is _____ <(a function/ not a function)

frozen [14]

The first answer is the correct one

6 0

3 years ago

A quadratic equation is shown below:

Valentin [98]

Part A)

The given equation is:

$25 x^{2} +10x+1=0$

The radicand or discriminant(d) of the equation will be:

$d=(10)^{2}-4(25)(1) \\ \\ 
d=100-100 \\ \\ 
d=0$

Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.

Part B)

The given equation is:

$4 x^{2} -4x+1=0$

We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:

$4 x^{2} -2x-2x+1=0 \\ \\ 
2x(2x-1)-1(2x-1)=0 \\ \\ 
(2x-1)(2x-1)=0 \\ \\ 
(2x-1) ^{2}=0 \\ \\ 
2x-1=0 \\ \\ 
x= \frac{1}{2}$

4 0

3 years ago