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DENIUS [597]
3 years ago
14

The force F between 2 objects is inversely proportional to the square of the distance, d between them. The force is 0.36 newtons

when the distance between them is 6 metres. Work out the force (2dp) when d = 4.2 metres
I got 0.74 newtons but I was wrong... what would be the answer?
Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0

Answer:

0.73 N to 2 dp.

Step-by-step explanation:

F = k/d^2   where k is a constant , F = force and d = distance.

Substituting:

0.36 = k / (6)^2

k = 36*0.36 = 12.96 s the equation is F = 12.96 / d^2.

When d = 4.2 :

F = 12.96 / 4.2^2

F = 0.73 Newtons to 2 dp.

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Answer:

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Step-by-step explanation:

The given equations satisfy the given conditions. There are 2 equations and 2 unknowns, so a certain solution can be found.

This can be solved using substitution,

Substituting eqn 2 to eqn 1:

2(2y – 10) + 3y =1240

Simplifying,

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3 years ago
Elise picks 6 pounds of apples.She uses 1/2 pounds to make 1 container of apple sauce. How many containers of applesauce can Eli
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Answer:

12

Step-by-step explanation:

  Mass of apples = number of containers × mass in each container

                     6 lb = No of containers × ½ lb

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To divide a whole number by a fraction, invert the fraction and change divide to multiply.

6/½ = 6 × 2/1

Multiply the numerator by the whole number.

6 × 2/1 = 12/1

Simplify the fraction.

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Elise can make 12 containers of applesauce.

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3 years ago
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4 0
2 years ago
What's 178373 times 7387839583929
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A company produces packets of soap powder labeled "Giant Size 32 Ounces." The actual weight of soap powder in such a box has a N
Nataliya [291]

Answer:

C. 34.15 oz

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu= 33, \sigma = 0.7

How heavy does a box have to be for it to be labeled overweight?

Top 5%, so X when Z has a pvalue of 1-0.05 = 0.95.

So X when Z = 1.645.

Z = \frac{X - \mu}{\sigma}

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X = 34.15

So the correct answer is:

C. 34.15 oz

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2 years ago
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