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bixtya [17]
2 years ago
10

M2/n2 is equivalent to _____.

Mathematics
1 answer:
tankabanditka [31]2 years ago
8 0

Answer:

\frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

Step-by-step explanation:

Using exponent rules:

a^{-n}=\frac{1}{a^n}

Given the expression:

\frac{m^2}{n^2}

⇒\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}

Apply the exponent rule, we have;

m^2 \cdot n^{-2}

Therefore, the given expression \frac{m^2}{n^2} is equivalent to m^2 \cdot n^{-2}

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There are 4500 people in Springfield. 1/3 of the population of Springfield are under the age of 21. how many people are under 21
Rama09 [41]

Answer:

1,500\ people

Step-by-step explanation:

we know that

There are 4,500 people in Springfield. 1/3 of the population of Springfield are under the age of 21

so

To calculate how many people are under 21 in Springfield

Multiply 4,500 by 1/3

4,500*(1/3)=1,500\ people

4 0
2 years ago
In a group of 1500 people, 585 have blood type A, 165 have blood type B, 690 have blood type O, and 60 have blood type AB. What
deff fn [24]
When calculating probability you need to remember that probability is:
something that you are observing divided by total number of participants.
The number you get is relative value(has value between 0 and 1) and if you want to get it in percentage (more clearly) just multiply it with 100.

In this case we are observing blood type B persons. Number of them is 165.
Total number of persons is 1500. Therefore our calculation looks like this:

165/1500 = 0.11    or  the probability is 0.11*100=11%
6 0
2 years ago
Read 2 more answers
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
2 years ago
Larry mixed 15 grams of salt with 210 grams of a 5% salt solution in water. What is the percent of salt in his new solution?
Olegator [25]
When the concentration of a solution is expressed in weight percentages, that is just equal to the mass of solute over the mass of the total solution. For a solution weighing 210 grams, 5% of it is salt. That is equal to

210*0.05= 10.5 g salt

The rest of the amount, determined by difference, is the amount of solvent which is water.

water = 210-10.5 = 199.5 g salt

To solve for the new concentration, you add up 15 g to the already existing 10.5 g of salt in the solution. The water, on the other hand, remains constant. 

Concentration = (15+10.5)/(210+15) = 0.1133 or 11.33%
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2 years ago
The distance traveled by a small car varies directly to the amount of fuel it consumes. The small car traveled 120 miles on 3 ga
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