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DanielleElmas [232]
3 years ago
13

Calculate the area of a dart which hits the dartboard with a force of 10 N and pressure of 2000 N/cm^2​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

pressure=force/area

2000. ×area =10

area. =10/2000

area =0.005cm²

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At a bakery, a baker prepares 6 dozen blueberry muffins for every 5 dozen apple muffins. If the baker prepares 16 dozen blueberr
spayn [35]
I would write a proportion, I can't use a fraction bar so they will just be on top of each other:
Blueberry Muffins    6
Apple Muffins          5
For every 6 Blueberry muffins there are 5 apple muffins (dozens)
So when he makes 16 blueberry muffins (dozens)
You write it next to the '6' because it's talking about blueberry muffin dozens.
The proportion now:

Blueberry Muffins  6   16
Apple Muffins        5    x
To find x, or the number of apple muffin dozens, you multiply 16 * 5, which is
80.
Then divide by 6.
80/6= 13.333
You can't have .333 of a dozen, so round it to 13.
***ANSWER*** 
He prepared 13 Apple muffin dozens.
Hope this helped <3
5 0
2 years ago
In a math class, 12 out of 15 girls are freshmen and 11 out of 15 boys are freshmen. What is the probability that in a randomly
SashulF [63]

Answer:

P(2FG|3FB) = \frac{605}{7917}

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.To calculate combinations the below  formula is used:

nCr = \frac{n!}{r!(n-r)!}

where n represents the total number of items and r represent the number of items being chosen at a time. The '!' represents factorial function which is the product of all integers equal to and less than the given integer. This can be calculated manually using the formula or by using the nCr function on a scientific calculator.

Thus, the number of ways to select 2 freshmen girls (2FG) and 3 freshmen boys (3FB) can be determined. The number of ways to select 5 students (5S) can be determined in the same way.

2FG = 12C2 = \frac{12!}{2!(12-2)!} = \frac{12!}{2!(10)!} = 66

3FB = 11C3 = \frac{11!}{3!(11-3)!} = \frac{11!}{3!(8)!} = 165

5S = 30C5 = \frac{30!}{5!(30-5)!} = \frac{30!}{5!(25)!} = 142506

The probability of selecting 2 freshmen girls (2FG) and 3 freshmen boys (3FB) when selecting 5 students out of 30 is given as below:

P(2FG|3FB) = \frac{2FG*3FB}{5S} = \frac{66*165}{142506} = \frac{605}{7917}

4 0
3 years ago
5×2×y×y×y write the expression using exponents
gayaneshka [121]

Answer:

10y³

Step-by-step explanation:

y appears 3 times.

Which means y is multiplied by itself 3 times.

Then, simplify 5 x 2, which is 10, then put y3 after 10.

5 0
2 years ago
Read 2 more answers
Write 23 in scientific notation A. 23 x 101 B. 2.3 x 101 C. 2.3 x 102 D. 2.3 x 103
miskamm [114]
When using scientific notation, you only want one number to be in front of the decimal place. If you have to make the number smaller, then the 10^nth power will be positive. If you have to make the number bigger, then 10^nth power will be negative. Example:
0.54 --> 5.4 * 10^-1
35 --> 3.5 * 10^1
The value of n depends on how many spaces the decimal point needs to be moved. For your question, putting 23 in scientific notation would look like this:
23 --> 2.3 * 10^1
8 0
3 years ago
Read 2 more answers
What is the constant rate of change shown in the graph?
AnnyKZ [126]

Answer:

10

Step-by-step explanation:

For every lawn mowed, the amount earned increases by 10 dollars

8 0
2 years ago
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