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serious [3.7K]
4 years ago
14

Answer please for 15pts

Mathematics
1 answer:
Dennis_Churaev [7]4 years ago
5 0
Simplify the equation


√363 becomes 11 √3

3 √27 becomes 9 √3

11 √3 - 9 √3 = 2 √3

Explanation: Find the factors of each number

363 factors are 33, and 11

Find which one you can take the square root from which is 33 and that is how you get 11 √3

3 √27 can be simplified more because the factors of 27 are 9, 3 take the square root of 9. And multiply the leftover 3 with the outside number which is also 3. Then you get 9 √3

Now just subtract

11 √3 - 9 √3

= 2 √3

Sorry if this is confusing but I hope it helps !!
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Find the 100th and the nth term for each of the following sequences.80,140,200
Alina [70]

Answer

a(n) = 60n + 20

a(100) = 6020

Step-by-step explanation:

Given the following sequences

80, 140, 200

\begin{gathered} \text{The given sequence is }80,\text{ 140, 200} \\ \text{Step 1: find the common difference} \\ \text{common difference= next term - previous term} \\ \text{Common difference = 140 - 80} \\ \text{Common difference = 60} \\ \text{common difference = 200 - 140} \\ \text{common difference = 60} \\ \text{Hence, the common difference is 60} \\ \text{The nth term of an arithmetic progression is} \\ a(n)\text{ = a + (n - 1) x d} \\ \text{where a = first term, n = no of terms, and d = common difference} \\ a(n)\text{ = 80 + (n - 1) x 60} \\ \text{open the parenthesis} \\ a(n)\text{ = 80 + 60n - 60} \\ a(n)\text{ = 60n + 80 - 60} \\ a(n)\text{ = 60n + 20} \\  \\ \text{ Find the 100th term} \\ \text{let n = 100} \\ a(100)\text{ = 60(100) + 20} \\ a(100)\text{ = 6000 +2}0 \\ a(100)\text{ = 6020} \end{gathered}

7 0
1 year ago
Use technology to find the line of best fit for the following data.
Colt1911 [192]

Answer:Meepo

Step-by-step explanation:

Meepo

5 0
3 years ago
The perimeter is 40. How much bigger is the longest side than the shortest side?
sesenic [268]

Answer:

10

Step-by-step explanation:

40=2a<u>-3</u>+2a+3a<u>+1</u>

add like terms

  • 40=7a-2

get 'a' by its self

  • 40(+2)=7a<u>-2(+2)</u> [2 cancels out]
  • 42(÷7)=7a(÷7) [7 cancels out]
  • a=6

plug in the answer for Equations

  • biggest: 3(6)+1= 18+1= 19
  • smallest: 2(6)-3= 12-3=9

subtract smallest from biggest

  • 19-9=10

3 0
4 years ago
Find the slope of the line that passes through these two points: (- 1, 0) and (4, - 2) .
I am Lyosha [343]
Slope is vertical change over horizontal change. Since coordinates conveniently give both the horizontal and vertical coordinates of a points, we can use the coordinates of both points to differentiate, or find the change horizontally and the change vertically between the two points.
8 0
3 years ago
A recipe for pizza sauce calls for 7 cans of tomatoes and 21 teaspoons of oregano. How many teaspoons of oregano would you need
Schach [20]

Answer:

3

Step-by-step explanation:

21 divided by 7 = 3

3 0
3 years ago
Read 2 more answers
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