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andre [41]
3 years ago
10

11. Suppose a force F varies as the product of two masses, m and M, inversely as

Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

k = 6.74 * 10^{-5}

Step-by-step explanation:

Given

F\ \alpha\ \frac{m * M}{r^2} --- The variation

F = 675; m = 125; M = 225; r = 0.0530

Required

Determine the constant of proportionality (k)

F\ \alpha\ \frac{m * M}{r^2}

Express as an equation

F = k\frac{m * M}{r^2}

Multiply both sides by r^2

Fr^2 = km * M

Make k the subject

k = \frac{Fr^2}{m * M}

Given that: F = 675; m = 125; M = 225; r = 0.0530

We have:

k = \frac{675* 0.0530^2}{125 * 225}

k = \frac{1.896075}{28125}

k = 0.000067416

This can be represented as:

k = 6.74 * 10^{-5}

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Lisa solved 448 math problems for homework over 28 days if she solved the same number of problems each day, how many problems di
SpyIntel [72]

Let P = number of problems solved per day.

P = 448/28

P = 16

Lisa solved 16 problems per day.

7 0
3 years ago
Which sentence can represent the inequality x+251/1
wariber [46]

The sum of half of a number and three-fourths is at least five and one quarter.

It's all about making sense of an English statement. "half the sum" and "the sum of half" are two distinct expressions.

Additionally, "at least" and "not less than" have equivalent meanings, as do "not more than" and "at most."

It is an issue of matching the thoughts conveyed because all of the expressions are verbally expressed. That is a reading comprehension issue, not a math issue.

"A number is at least five and one quarter when divided by half and three-fourths."

In mathematics, a statement with unequal sides is referred to as an inequality. When a link leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.

In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). There are numerous types of inequalities that can exist in mathematics, including absolute value inequality, rational inequality, and polynomial inequality.

Learn more about inequality brainly.com/question/20383699

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4 0
2 years ago
PLS I need help, this is due today. thank u.
mariarad [96]
Here, you would complete it with the Pythagorean Theorem.

So, A^2 + B^2 = C^2

So 14^2 + B^2 = 14^2

This equals = B = 11.49
6 0
3 years ago
Read 2 more answers
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution:
Mice21 [21]

Their LCM is

70

hope it helps you.

8 0
3 years ago
Why is 1/8 greater than 1/10 but less than 1/3
zzz [600]

because the bigger the bottom or left number is the smaller the value unless t was like 10/10 that's bigger than them all
6 0
3 years ago
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