Answer:
95%
Step-by-step explanation:
:))
B. 19.5
C. 16.5
D. 18.5
a) what is the value of the ratio m1/m2?
b) if m1 and m2 are combined into one object, what is its acceleration under the action of the force
Force is the product of mass and acceleration
(a) The ratio m1/m2
Force is calculated as:
For the first object, we have:
For the second object, we have:
The forces on both objects are equal.
So, we have:
Divide both sides by 3m2
Hence, the ratio m1/m2 is 1/3
(b) The acceleration when the masses are combined
In (a), we have:
Make m2 the subject
Recall that:
So, we have:
Substitute
Substitute --- because the force is the same
Cancel out m1
Divide both sides by 4
Hence, the acceleration is 3/4
Read more about force and acceleration at:
Answer: 81 to 19
Step-by-step explanation:
The ratio of men to women in the United States Air Force is 81:19, even when simplified, suggesting that there are significantly more men than women in the force.
To calculate the ratio of men to women in the United States Air Force, you need the numbers of men and women, which are given in the problem as 81 men and 19 women, respectively.
Thus, the ratio of men to women is 81:19. This signifies that, for every 81 men in the force, there are 19 women. The ratio of men to women can also be simplified by dividing both numbers by their greatest common divisor (in this case, 1), giving an equivalent simplified ratio of 81:19.
Remember, when you express a ratio, it should be in the simplest form or lowest terms, similar to simplifying fractions. For example, the ratio 2:4 should be reduced to 1:2, by dividing each side by 2, the greatest common divisor.
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Following are the response to the given question:
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Answer:
Because Alina's mileage is LESS than Cesar's mileage, each mile of error results in a GREATER percent error.
Even though Alina's estimate was 5 miles off and Cesar's estimate was 10 miles off, Alina's was 10% off and Cesar's was 5% off.
Step-by-step explanation:
This is right because I got it right on TTM. ;) Trust me, it is.
Answer:
12
Answer:
The number (√5 + 2)(√5 - 2) can be simplified using the difference of squares formula, which states that (a + b)(a - b) = a² - b². In this case:
(√5 + 2)(√5 - 2) = (√5)² - 2² = 5 - 4 = 1
So, the number (√5 + 2)(√5 - 2) is equal to 1, which is a rational number because it can be expressed as a ratio of two integers (1/1). Therefore, the correct answer is:
b. a rational number
The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The result is a rationalnumber, making option b. a rational number the correct answer.
The expression ( √5 +2)(√5 - 2) can be simplified using the difference of squares formula. The difference of squares formula states that a^2 - b^2 = (a + b)(a - b). In this case, a = √5 and b = 2. Plugging these values into the formula, we have (√5)^2 - 2^2 = ( √5 +2)(√5 - 2) = 5 - 4 = 1.
Since 1 is a rational number (it can be expressed as a fraction), the correct answer is b. a rational number.
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