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3 years ago

For the exterior angles(s) given, name the remote interior angles

Mathematics

1 answer:

Archy [21]3 years ago

7 0

Answer:

hi my name david what ur namw

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There is a picture attached *try to show work*

Harlamova29_29 [7]

Replace F in the equation with 113.

5/9(113-32)

5/9(81)

5 * 81 = 405
405 / 9 = 45 degrees Celcius

5 0

3 years ago

Read 2 more answers

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

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

8 0

3 years ago

You have 2,112 grams of a radioactive kind of mercury. How much will be left after 188 days if it's half-life is 47 days?

Anastasy [175]

Answer:

132 g

Step-by-step explanation:

Initial amount = 2112 g
Time = 188 days
Half-life = 47 days

188 days / 47 days = 4 periods

<u>Mercury left after 188 days:</u>

2112 * (1/2)^4 =
2112* 1/16 =
2112/16 =
132 g

4 0

3 years ago

Suppose that an individual has a body fat percentage of 15.9% and weighs 159. How many pounds of her weight is made up of fat? R

Anna007 [38]

Answer:

25.3 lb

Step-by-step explanation:

We can multiply the whole by the percentage to find the part. Since 15.9% is equal to 0.159, the weight of fat is 159*0.159 = 25.281. Round this to the nearest tenth, and we get 25.3 pounds.

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2 years ago

Allen is buying a video game that originally costs $49. He has a 10%-off

Annette [7]

The total amount Allen will need to pay for the video game is $48.96 as 49-0.1+0.06=48.96

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3 years ago

For the exterior angles(s) given, name the remote interior angles​

For the exterior angles(s) given, name the remote interior angles