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Y_Kistochka [10]

4 years ago

9

1. On Tuesday, Elena completed 20 items of her math homework in 36 minutes. At that same rate, how long will it take her to comp

lete 35 items for Wednesday's math homework?

1 answer:

zepelin [54]4 years ago

4 0

The correct answer is 63 minutes, what you do is divide 36/20 to get 1.8 then multiply 35*1.8 to get 63.
Brainliest answer?

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What is the value of the modulus of 2−6i ?<br><br> Answer as a simplified radical.

Alja [10]

Answer:

6.3244

Step-by-step explanation:

6 0

4 years ago

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What is the best estimation of the equation 7/8 − 6/11? Drag the numbers into the boxes. Numbers may be used once, twice, or not

aniked [119]

Answer:

1 - 1/2 = 1/2

Step-by-step explanation:

These numbers are the best estimation of the equation 7/8 - 6/11 because 7/8 is approximately 1 and 6/11 is approximately 1/2. If you subtract 1 from 1/2 you get 1/2.

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3 years ago

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Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

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3 years ago

Find the volume of the figure of each figure

Dafna1 [17]

Answer

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Step-by-step explanation:

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3 years ago

The scale for a scale drawing is 8 millimeters: 1 centimeter. Which is larger,the actual object or the scale drawing?explain

amm1812

The scale is a representation of what the drawing is to real life. The drawing will tend to be represented by a fixed figure such as 1 cm. In this case for every cm of drawing it is a representation of 8 millimetres in real life, therefore the drawing is bigger than the object.

4 0

4 years ago