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3 years ago

Does the transformation represent a dilation? Why or

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

Answer: A: no, because each vertex is not multiplied by the same scale factor.

Step-by-step explanation: got it right on Edge 2020!

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26. The cost of a television set has increased continuously by 2%. In 1999, the average

RUDIKE [14]

Answer:

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Cost of the TV set in 1999 = US$ 400

Annual increase rate = 2% = 0.02

2. Write an exponential model to represent this data.

Cost after n years = Cost in 1999 * (1 + r)ⁿ

where r = 0.02 and n = the number of years since 1999

Replacing with the real values for 2020, we have:

Cost after 21 years = 400 * (1 + 0.02)²¹

Cost after 21 years = 400 * 1.5157

Cost after 21 years = $ 606.28

The TV set costs $ 606.28 in 2020.

<u>The exponential model is: Cost after n years = 400 * (1 + 0.02)ⁿ</u>

8 0

3 years ago

Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.

3 0

3 years ago

You.have at most $8 to buy lunch. Sandwiches cost $4 each, drinks cost $1.50 each, and cookies cost $0.75 each. If you buy a san

abruzzese [7]

Answer:

you can buy 2 cookies

Step-by-step explanation:

4+1.5=5.5

8-5.5=1.5

1.5/.75=2

5 0

3 years ago

Read 2 more answers

HELP! 10 POINTS+Braniest

guajiro [1.7K]

When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32

twice as old 32*2 = 64

The father will be 64.

7 0

2 years ago

The school librarian, Mr. Marker, knows the library has 1,400 books but wants to reorganize how the books are displayed on the s

kipiarov [429]

Answer:

200 resource books

800 fiction books

400 nonfiction books

Step-by-step explanation:

Let's define x as the amount of resource books that are in the library. As he has four times as many fiction books as resource books, that means he has 4*x fiction books.

We also know he has half as many nonfiction books as fiction books, that is 1/2*4*x = 2*x nonfiction books.

We just need to find out the value of x.

We know there are 1,400 books in total and there are just 3 types of books. Therefore, if we sum all of them, we get the 1,400.

Written in math language, that is

x + 4x + 2x = 1,400

7x = 1,400

We divide by 7 on both sides and we get

7/7x = 1,400/7

x = 200

Now we replace the x with 200 to know how many books he has of each type:

Resource books = x = 200

Fiction books = 4*x = 4*200 = 800

Nonfiction books = 2*x = 2*200 = 400

Therefore, there are 200 resource books, 800 fiction books and 400 nonfiction books in the library.

The tape diagram is attached as an image.

8 0

3 years ago