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3 years ago

PLEASE HELP!!!!

Mathematics

1 answer:

Strike441 [17]3 years ago

5 0

1 Dog weighs 50lbs because in the stem and leaf plot it says there is a 50lbs dog and a 55lbs dog.

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How much is 2000mg in grams?

Ghella [55]

Answer:

2 grams

Step-by-step explanation:

4 0

3 years ago

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What is the volume of the cylinder below radius 7 height 4

Veseljchak [2.6K]

V = pi * r^2 *h

where r is the radius and h is the height of the cylinder

V = pi * 7^2 *4

V = pi* 49*4

pi is approximated by 3.14 or 22/7

V = 22/7 * 49 * 4

V = 616 units ^3

6 0

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

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

8 0

3 years ago

Dedi had a combination lock.To open the lock he started at 37.He made 3 half turns clockwise and 3 quarter turns anticlockwise

Lerok [7]

Turning clockwise means the number increase, and counterclockwise means the number decreases

Therefore your answer is 37 + (3*1/2)-(3*1/4)

= 37.75

Hope this helped :)

5 0

2 years ago

When 12 is added to a number the result is 32 less than 3 times the number.

sdas [7]

Let the number = x

12 + x = 3x - 32

x = 3x - 44 Subtract 12 from both sides

-2x = -44 Subtract 3x from both sides

x = 22 Divide by -2

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3 years ago

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