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murzikaleks [220]
3 years ago
8

Mr. Rr the Rreliable Rrobot has been programmed to whistle every $18$ seconds and do a jumping jack every $42$ seconds, starting

from the moment he is turned on. (For example, he does his first jumping jack $42$ seconds after he is turned on.)
How many times during the first $15$ minutes after activation will Mr. Rr whistle and do a jumping jack at the same instant?
Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

7 times during the first 15 minutes

Step-by-step explanation:

Remember that

1\ min=60\ sec

so

15\ min=15(60)=900\ sec

Decompose the numbers 18 and 42 in prime factors

we know that

18=(2)(3^2)

42=(2)(3)(7)

Find the least common multiple (LCM)

The LCM is

(2)(3^2)(7)=126\ sec

we need to find all multiples of 126 that are less than or equal 900.

126*1=126\ sec\\126*2=252\ sec\\126*3=378\ sec\\126*4=504\ sec\\126*5=630\ sec\\126*6=756\ sec\\126*7=882\ sec

therefore

7 times during the first 15 minutes

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Elina [12.6K]

Answer:

f is not  defined at x = 3 ⇒ answer (b)

Step-by-step explanation:

∵ f(x) = x² - x - 6/x² - 9 is a rational function

∴ It will be undefined at the values of x of the denominator

∵ The denominator is x² - 9

∵ x² - 9 = 0 ⇒ x² = 9 ⇒ x = ±√9

∴ x = ± 3

∴ f(x) can not be defined at x = 3

∴ The f(x) can not be continuous at x = 3

∴ The answer is (b)

6 0
3 years ago
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neonofarm [45]
I believe the formula to find the height would be h= 2a/b and if you use that formula and plug in the area (21.7) of each triangle as well as the base (6) then you would get a height of 7.2 cm. I hope this is correct! :)
3 0
2 years ago
⎪6 − 4⎪ − ⎪3 − 8⎪ = ?<br> Please help!!!!
andriy [413]

Answer:

-3

Step-by-step explanation:

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|6 - 4| -|3 - 8| =

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3 0
3 years ago
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Answer:

y = x - 5

Step-by-step explanation:

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That is, equations of parallel lines differ only by constant.

The given equation is $ y = x + 4 $

This is written as $ x - y + 4 = 0 $

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c

Step-by-step explanation:

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