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erma4kov [3.2K]
3 years ago
5

The cycles for two different events are shown in the table. Each of these events happened in the year 2000. What is the next yea

r in which both will happen if the summer Olympics cycle is 4 and the U.S census cycle is 10?
Mathematics
2 answers:
Umnica [9.8K]3 years ago
7 0
The answer is 2020 (the LCF for 10 and 4 is 20)
krok68 [10]3 years ago
7 0

Answer with explanation:

Cycle for Summer Olympics =14

Cycle for Census =10

We have to find the year in which both will fall together.

Among H C F and L C M, Lowest common multiple gives the greatest number which is divisible by both the numbers that is 14 and 10.

14= 2 × 7

10 = 2×5

L C M of 14 and 10 = 2 × 5×7= 70

So, in 2070 ,the two summer Olympics as well as US census cycle will fall.

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The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebrai
qaws [65]

The graph in the question is missing.

Answer:

y  = \frac{-1}{4}( x^3 + 2x^2 - 32x -96)

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

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on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = \frac{-1}{4} (x+4)(x+4)(x-6)

  y  = \frac{-1}{4}( x^3 + 2x^2 - 32x -96)

3 0
2 years ago
Two angles are supplementary. One angle measure 17 more than three times the other. find the measure of the larger angle.
icang [17]

Answer:

45

Step-by-step explanation:

4 0
3 years ago
Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. he calculates that the extr
Scrat [10]

The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.

<h3>What is simple interest?</h3>

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We know the formula for the simple interest is given by:

I = PRT

Where I is the simple interest.

P is the principal amount

R is the rate of interest

We have in the question:

I = $180

R = 2% = 0.02

T = 1  year

Put the above values in the formula, we get:

180 = P(0.02)(1)

P = $9000

The additional interest Benson pay each month is:

= 9000/12

= $750

Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

7 0
2 years ago
Twothirds times fifteen
Dmitry [639]
The answer is 10 :)     ........
4 0
3 years ago
Read 2 more answers
Write an equation in slope-intercept form of the line that passes through (6, -1) and (3, 47)
katrin2010 [14]

Answer:

Step-by-step explanation:

(47+1)/(3-6) = 48/-3 = -16

y + 1 = -16(x - 6)

y + 1 = -16x + 96

y = -16x + 95

6 0
3 years ago
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