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Pani-rosa [81]
1 year ago
15

What acceleration would that object need to achieve to create a force of 25 Newtons?

Mathematics
1 answer:
Aleks04 [339]1 year ago
8 0

Answer: We want to find the acceleration needed to achieve a force of 25 Newtons.

The acceleration is:

a = 25N/m

By Newton's second law, we know that:

F = m*a

Force equals mass times acceleration.

So if we want to have a force of 25N, we replace F by 25N, so we get:

25N = m*a

Solving this for the acceleration, we get:

25N/m = a

Notice that we can't get the exact acceleration as we do not know the mass of the object, but we got a general formula where we can replace the mass of the object to get the exact acceleration.

Step-by-step explanation:

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324

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One case has 9 boxes.

One box has 36 chocolates.

This equation would answer the amount in a case, case = chocolate*boxes

So there would be 36*9 chocolates, and that equals 324 in one case

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3 years ago
If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?
tatiyna
F(x) = 4 - x²    g(x) = 6x

(g - f)(x) = g(x) - f(x)

(g - f)(3) = g(3) - f(3)

g(x) = 6x

g(3) = 6*3 = 18

f(x) = 4 - x²

f(3) = 4 - 3² = 4 - 9 = -5

(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23

 (g - f)(3) = 23
7 0
3 years ago
Matthew is packing 120 pencils and 108 notebooks
Rasek [7]

9514 1404 393

Answer:

  • 12 boxes
  • 10 pencils, 9 notebooks

Step-by-step explanation:

a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.

  120 = 12×10

  108 = 12×9 . . . . 12 is the greatest common divisor

Matthew can make 12 boxes with equal numbers of the items.

__

b) 120 pencils divided by 12 will be 10 pencils per box.

108 notebooks divided by 12 will be 9 notebooks per box.

_____

<em>Additional comment</em>

It helps to be familiar with multiplication tables up to about 12×12.

The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.

Here, we have ...

  120/108 = 1 r 12.

  108/12 = 9 r 0   ⇒   12 is the GCD

7 0
3 years ago
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