3 years ago

What is 0.87 repeating as a fraction

Mathematics

1 answer:

ycow [4]3 years ago

8 0

87/100 Most likely. Have a wonderful day!

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prove that if f is integrable on [a,b] and c is an element of [a,b], then changing the value of f at c does not change the fact

Neko [114]

Answer with Step-by-step explanation:

We are given that if f is integrable on [a,b].

c is an element which lie in the interval [a,b]

We have to prove that when we change the value of f at c then the value of f does not change on interval [a,b].

We know that limit property of an integral

$\int_{a}^{b}f dt=\int_{a}^{c}fdt+\int_{c}^{b} fdt$

$\int_{a}^{b} fdt=f(b)-f(a)$ ....(Equation I)

Using above property of integral then we get

$\int_{a}^{b}fdt=\int_{a}^{c}fdt+\int_{c}^{b} fdt$ ......(Equation II)

Substitute equation I and equation II are equal

Then we get

$\int_{a}^{b}fdt= f(c)-f(a)+{f(b)-f(c)}$

$\int_{a}^{b}fdt=f(c)-f(a)+f(b)-f(c)=f(b)-f(a)$

$\int_{a}^{c}fdt+\int_{c}^{b}fdt=f(b)-f(a)$

Therefore, $\int_{a}^{b}fdt=\int_{a}^{c}fdt+\int_{c}^{b}fdt$ .

Hence, the value of function does not change after changing the value of function at c.

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3 years ago

A fruit juice company includes 1.501 ounces of apple juice in a 6.75-ounce bottle of mixed fruit juice. How much of the bottle

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Answer : 5.249 Ounces of the bottle of mixed fruit juice is not apple juice.

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There are 50 states in the US. What is the probability of selecting a state in the continental US?

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1 in 48 because only 48 are continental

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Step-by-step explanation: cant talk

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Between what two numbers is the exact product of 379 and 8

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