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klasskru [66]
3 years ago
10

In a clock, a large gear completes a rotation every 45 seconds, a small gear completes a rotation every 18 seconds. The gears al

igned now, how many seconds will pass before the gears are in line again?
Mathematics
2 answers:
RUDIKE [14]3 years ago
8 0
If the big gear makes 2 circles and the small gear makes 5 circles they will both be on 90 sec so it will take 90 seconds I think. My dad helped me with this one :D
sineoko [7]3 years ago
8 0

Answer:

90 seconds will pass before the gears are in line again

Step-by-step explanation:

In a clock, a large gear completes a rotation every 45 seconds.

The small gear completes a rotation every 18 seconds.

To get the number of seconds needed so these both will pass before the gears are in line again, we will simply find the LCM of 45 and 18.

45 = 3 x 3 x 5

18 = 2 x 3 x 3

LCM = 2 x 3 x 3 x 5 = 90

Hence, 90 seconds will pass before the gears are in line again

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6 0
2 years ago
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?
Rasek [7]

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

  • If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ f(x)=6(\frac{1}{3})^{x}

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ g(x)=6(\frac{1}{3})^{-x}

∵ (a)^{-n}=(\frac{1}{a})^{n}

∵ (\frac{1}{a})^{-n}=(a)^{n}

∴ (\frac{1}{3})^{-x}=(3)^{x}

∴ g(x)=6(3)^{x}

The function g(x)=6(3)^{x} represents a reflection of f(x)=6(\frac{1}{3})^{x} across the y-axis

Learn more:

You can learn more about reflection in brainly.com/question/5017530

#LearnwithBrainly

7 0
3 years ago
Read 2 more answers
HOW MANY nibbles ARE IN ONE kilobyte?
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There are 2000 nibbles in 1 kilobyte

Step-by-step explanation:

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6 0
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On a math test 12 students earned an a this number is exactly 25% of the total number of students in the class how many students
statuscvo [17]

Answer:

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Step-by-step explanation:

25% of total students = 12

suppose,

total students= x

so,

25% of x=12

(25/100)*x=12

25*x=(12*100)

x=1200/25

x=48

therefore,

x= total students= 48.

7 0
3 years ago
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