2 years ago

If one day is 20 minutes then how many days are in 10 years

Mathematics

1 answer:

Tanzania [10]2 years ago

8 0

Answer:

73050

Step-by-step explanation:

20*3652.5

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algol13

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3 years ago

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

Help please .!!!!!!!!?

sammy [17]

15x over 2 dont know how to do it on computer

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3 years ago

Read 2 more answers

Angles STU and UTV combine to form right angle STV. Which expression could be used to find the measure,in degrees,of angle UTV?

Sergeu [11.5K]

STV=STU+UTV

But,
STV=90° and STU = 75°

Therefore,
90=75+UTV => UTV = 90-75

Therefore, expression A is the one that can be used to find UTV.

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