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bixtya [17]
3 years ago
9

What is the range of possible

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

4<C <10

Step-by-step explanation:

Theorem: Given a triangle with sides A, B and C the sum of the lengths of any two sides of a triangle must be greater than the third side:

1.  A+B>C

2.  B +C >A

3.  A+C>B

Thus given two sides of A=3 and B=7 C can be:

7 −3<C < 7+3

C range  

4<C <10

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An electric company calculates a persons monthly bill from the number of kilowatt kWh, x, used
Nitella [24]

Answer:

Option (A)

Step-by-step explanation:

From the given piecewise function that represent the amount of bill from number of units of electricity used is 'x' kWh.

b(x) = 0.10x   when x ≤ 200

         0.15(x - 200) + 20  when x > 200

For x = 400 kWh,

Function which represents the expenses of the bill,

b(400) = 0.15(400 - 200) + 20 [Since x > 200]

           = 0.15(200) + 20

           = 30 + 20

           = $50

Therefore, Option (A) will be the answer.

7 0
3 years ago
Write 2 different exponential expressions equivalent to z^11
hammer [34]

Answer:

z x 10^11 scientific notation

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Step-by-step explanation:

8 0
4 years ago
Can y’all help me please Ill appreciate it
Llana [10]

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7 0
4 years ago
The population of Preston is 89,000 and is decreasing by 1.8% each year. Write a formula that models the population as a functio
Fiesta28 [93]

Answer:

P=89,000e^{-.018t}

Step-by-step explanation:

I used this equation formula and just input the numbers given:

P=P_{o}e^{rt}

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Hope this helps!

6 0
3 years ago
How to calculate square root?
OLEGan [10]
To calculate the square root, you can either use the √symbol on a calculator or you can manually find it using Prime Factorization. For non-perfect squares, Prime Factorization is the way to go. 
 
The first two steps work for solving large perfect squares as well.

1. Divide your number into perfect square factors.

2. Take the square roots of your perfect square factors. 

3. If your number doesn't factor perfectly, reduce your answer to simplest terms. 

4. If needed, estimate. In some cases if you have memorized some of the square roots, you can estimate where the number would be. 
ie.  \sqrt{63}       you know that 7^2 =49 and 8^2 = 64,  so you can estimate that the \sqrt{63} would be between 7 and 8 but closer to 8.

5. <span>Alternatively, reduce your number to its lowest common factors as your first step.</span><span> Finding perfect square factors isn't necessary if you can easily determine a number's prime factors (factors that are also prime numbers).
ie.  </span>\sqrt{45}
 =  \sqrt{9*5}
 = \sqrt{3*3*5}
 =   3 \sqrt{5}

Hope this helped!!!
6 0
4 years ago
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