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tatiyna
3 years ago
5

What is the area of a circle?

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer:

A.The distance around the circle

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Find the number of distinct permutations of the word "CALCULATOR."​
11111nata11111 [884]

Given:

The word is "CALCULATOR."​

To find:

The number of distinct permutations.

Solution:

In the word "CALCULATOR",

The number of letters = 10

In which, we have 2 C, A, L and 1 U, T, O, R.

We know that,

^nC_r=\dfrac{n!}{(n-r)!}

^nC_n=\dfrac{n!}{(n-n)!}=n!

To find the number of distinct permutations of the given word need to divide permutation of all letter by the permutations of repeated letters.

\text{Total ways}=\dfrac{^{10}C_{10}}{^2C_2\ ^2C_2\ ^2C_2\ ^1C_1\ ^1C_1\ ^1C_1\ ^1C_1}

\text{Total ways}=\dfrac{10!}{2!2!2!1!1!1!1!}

\text{Total ways}=\dfrac{10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 2\times 2\times 1\times 1\times 1\times 1}

\text{Total ways}=453600

Therefore, the number of distinct permutations of the word "CALCULATOR" is 453600.

6 0
3 years ago
helpp Jon waits on tables and is paid $5.00 an hour. In a 40-hour period, he earned $210.50 in tips. What were his total earning
Nataly [62]

Add together the income from straight pay and that from tips:

($5/hr)(40 hrs) + $210.50

$200 + $210.50 = $410.50.


Jon's total earnings for the week were $410.50.

7 0
4 years ago
The owner of a health club decides to reduce the $35 membership fee by $5. What is the approximate percent decrease in the fee?
finlep [7]

Answer:

The percentage of decrease is approximately 0.14%.

Step-by-step explanation:

35 - 5 = 30

What percentage is 5 of 35 (x/100 = is/of)

x/100 = 5/35 (cross multiply)

(5*100)/35 = 14.29%

8 0
3 years ago
I dont understand how to put questions together.​
lorasvet [3.4K]

Answer:

D

Step-by-step explanation:

You are subtracting two functions to get the profit, the formula is p(x)=r(x)-c(x). You know what two of those functions are equivalent to so plug it in to get

p(x)=11x-(6x+20)

to solve you must first get rid of the parentheses by distributing the negative.

p(x)=11x-6x-20

then, combine like terms (both x's)

p(x)=5x-20

That is your final answer.

7 0
3 years ago
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
vitfil [10]

Given that the graph of the quadratic function.

We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.

<u>Vertex:</u>

The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.

Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.

Therefore, the vertex of the graph is (0,-2)

<u>Minimum or maximum value:</u>

When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.

Thus, the graph has a minimum value.

Hence, the vertex of the graph is (0,-2); minimum value.

Therefore, Option A is the correct answer.

5 0
3 years ago
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