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3 years ago

What number lies between 7x8/10=

2 answers:

7 0

The number that between 7x8/10 is:

7x8=56
56/10= 5.6

therefore the answer is 5.6

hope this helps

-Rachael
(yahtzee05)

zzz [600]3 years ago

3 0

The number that lies between that is 7

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The fastest clapper in the world can clap 720 times in 60 seconds. What is the unit rate? *

Anton [14]

Answer: 12 claps per second

Step-by-step explanation: divide both by 60 and yield 12 times -1 second

6 0

3 years ago

For the function given below, find a formula for the Riemann sum obtained by dividing the interval [0,5] into n equal subinterva

sergij07 [2.7K]

Given

we are given a function

$f(x)=x^2+5$

over the interval [0,5].

Required

we need to find formula for Riemann sum and calculate area under the curve over [0,5].

Explanation

If we divide interval [a,b] into n equal intervals, then each subinterval has width

$\Delta x=\frac{b-a}{n}$

and the endpoints are given by

$a+k.\Delta x,\text{ for }0\leq k\leq n$

For k=0 and k=n, we get

$\begin{gathered} x_0=a+0(\frac{b-a}{n})=a \\ x_n=a+n(\frac{b-a}{n})=b \end{gathered}$

Each rectangle has width and height as

$\Delta x\text{ and }f(x_k)\text{ respectively.}$

we sum the areas of all rectangles then take the limit n tends to infinity to get area under the curve:

$Area=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)$

Here

$f(x)=x^2+5\text{ over the interval \lbrack0,5\rbrack}$ $\Delta x=\frac{5-0}{n}=\frac{5}{n}$ $x_k=0+k.\Delta x=\frac{5k}{n}$ $f(x_k)=f(\frac{5k}{n})=(\frac{5k}{n})^2+5=\frac{25k^2}{n^2}+5$

Now Area=

$\begin{gathered} \lim_{n\to\infty}\sum_{k\mathop{=}1}^n\Delta x.f(x_k)=\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{5}{n}(\frac{25k^2}{n^2}+5) \\ =\lim_{n\to\infty}\sum_{k\mathop{=}1}^n\frac{125k^2}{n^3}+\frac{25}{n} \\ =\lim_{n\to\infty}(\frac{125}{n^3}\sum_{k\mathop{=}1}^nk^2+\frac{25}{n}\sum_{k\mathop{=}1}^n1) \\ =\lim_{n\to\infty}(\frac{125}{n^3}.\frac{1}{6}n(n+1)(2n+1)+\frac{25}{n}n) \\ =\lim_{n\to\infty}(\frac{125(n+1)(2n+1)}{6n^2}+25) \\ =\lim_{n\to\infty}(\frac{125}{6}(1+\frac{1}{n})(2+\frac{1}{n})+25) \\ =\frac{125}{6}\times2+25=66.6 \end{gathered}$

So the required area is 66.6 sq units.

3 0

1 year ago

According to the chart below, what percentage of Ralph’s expenses are items other than taxes?

pochemuha

Answer:

65%

Explanation:

Please, see attached the chart corresponding to this question.

The chart is a pie chart that shows the percentage composition of the expenses and uses color to identify each item.

The items corresponding to taxes are:

Federal tax: 29%
State tax: 6%

All the other expenses are not taxes.

Add the two items that are taxes: 29% + 6% = 35%.

Hence, the expenses that are not taxes can be calculated by difference:

100% - 35% = 65%.

8 0

3 years ago

Read 2 more answers

MDE⌢=129°, and mBC⌢=65°. Find m∠A

maw [93]

Answer:

mDE⌢=129°, and mBC⌢=65°. Find m∠A

Step-by-step explanation:

3 0

3 years ago

Solve 6 11/12 − (24 1/6 + 3 2/3). Do the operation in parentheses first. Show all your steps.

RUDIKE [14]

Answer:

-20 11/12

Step-by-step explanation:

6 11/12 - (24 1/6 + 3 2/3)

= 6 11/12 - (24 1/6 + 3 4/6)

= 6 11/12- (27 5/6)

= -20 11/12

4 0

3 years ago