3 years ago

How to solve it the answer

Mathematics

1 answer:

12345 [234]3 years ago

6 0

She gave away 8 apples because 13 minus 5 is 8

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Matthew mixes 1/2 cup of yellow paint for every 1/5 cup of blue paint to make green paint. how many cups of yellow paint are nee

cupoosta [38]

Answer: He needs 2 1/2 cups of yellow paint

8 0

3 years ago

Select equivalent or not equivalent for each pair of expressions

marissa [1.9K]

Answer:

1: equivalent

2: equivalent

3: not equivalent

Step-by-step explanation:

for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.

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3 years ago

The expression (1/50)(sqrt(1/50)+sqrt(2/50)+sqrt(3/50)+...+sqrt(50/50) is a Riemann Sum approximation for

alexira [117]

$\dfrac1{50}\left(\sqrt{\dfrac1{50}}+\sqrt{\dfrac2{50}}+\cdots+\sqrt{\dfrac{50}{50}}\right)=\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}$

describes a sum of the areas of 50 rectangles, each of width $\dfrac1{50}$ , and the $n$ th rectangle has height $\sqrt{\dfrac n{50}}$ .

$\sqrt{\dfrac n{50}}$ ranges from a small positive number to 1, which means the integration interval must be $[0,1]$ . The sum is then the right-endpoint Riemann sum of $\sqrt x$ over the interval with $50$ equally spaced subintervals, so

$\displaystyle\sum_{n=1}^{50}\sqrt{\dfrac n{50}}\frac1{50}\approx\int_0^1\sqrt x\,\mathrm dx$

The sum itself evaluates to roughly 0.676, while the exact value of the integral is $\dfrac23\approx0.667$ .