The number 128 is 20 percent of 640.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.
Let 128 is x percent of 640.
Here, x% of 640 =128
x/100 ×640 =128
6.4x=128
x=128/6.4
x=20%
Therefore, the number 128 is 20 percent of 640.
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Answer:
Step-by-step explanation:
Answer:
450 square feet
Step-by-step explanation:
Think of the shape as a complete rectangular
The area of the rectangular shape would be 25×30 = 750 square feet
Now find the area of the missing space and subtract it from 750
it would be 15×20 = 300 square feet
750 - 300 = 450 square feet
Step-by-step explanation:
The given information tells us that f(x) is a continuous function, and it passes through the points (-2, 10) and (-7, -5). Additionally, it has exactly one value of x for which f(x) = 0. We need to find which of the given options (-3, -8, 0, 2) could be that x value.
Let's analyze each option:
a) -3: If f(-3) = 0, it's a possibility, but we need to check the others.
b) -8: If f(-8) = 0, it's a possibility, but we need to check the others.
c) 0: If f(0) = 0, it's a possibility, but we need to check the others.
d) 2: If f(2) = 0, it's a possibility, but we need to check the others.
Since we are told that there is only one value of x for which f(x) = 0, and there are multiple possibilities in this case (a, b, c, and d), the information provided does not allow us to determine a unique answer from the given options. Any of these values could be the x for which f(x) = 0, given that the function is continuous.
The question uses the concept of Intermediate Value Theorem in mathematics. The answer is option a) -3 as it falls between the range by the theorem, which states that for any continuous function within a certain range, the function must cross all values within that range.
This question is about the Intermediate Value Theorem, which states that if a function is continuous on a closed interval from a to b, and k is any number between f(a) and f(b), then there is at least one number c in the interval (a, b) such that f(c) = k.
Since the function is continuous for all real numbers and f(-2) = 10 and f(-7) = -5, the function must pass through 0 between -2 and -7 as it moves from 10 to -5. Therefore, the x value for which f(x) = 0 could be between -2 and -7. In the provided options, the only value falling within the interval (-2, -7) is -3.
So, based on the Intermediate Value Theorem, the answer is option a) -3.
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L = {3, 5, 7}
a. { }
b. {3, 5}
c. {2, 3, 5, 7, 8}
d. {2, 7, 8}