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2 years ago

What is the volume of a cylinder with a radius of 479.087 and a height of 29.3

1 answer:

6 0

So the formula for volume of a cylinder is pi multiplied by radius squared times height

so the volume would be 6,725,063.56 units squared

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Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the

blsea [12.9K]

Hello,
Please, see the attached files.
Thanks.

7 0

3 years ago

Read 2 more answers

Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.

andreev551 [17]

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ has at least two real roots

The equation is given as: $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500

This means that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ has at least two real roots

Read more about roots of an equation at:

brainly.com/question/12912962

6 0

2 years ago

8 5x=-2 whats the value of the variable?

wlad13 [49]

In order to get the value of x you have to set x by itself subtract from both sides because the only way to get rid of a positve its with a negative now you have 5x=6, now divide 5 from both sides because the only way to get rid of a multiplication is with a division, this will give you the final answer of x=6/5

Hope this helps

8 0

2 years ago

How many different ways are there to choose a subset of the set {1,2,3,4,5,6} so that the product of the members of the subset i

zvonat [6]

You have to pick at least one even factor from the set to make an even product.

There are 3 even numbers to choose from, and we can pick up to 3 additional odd numbers.

For example, if we pick out 1 even number and 2 odd numbers, this can be done in

$\dbinom 31 \dbinom 32 = 3\cdot3 = 9$

ways. If we pick out 3 even numbers and 0 odd numbers, this can be done in

$\dbinom 33 \dbinom 30 = 1\cdot1 = 1$

way.

The total count is then the sum of all possible selections with at least 1 even number and between 0 and 3 odd numbers.

$\displaystyle \sum_{e=1}^3 \binom 3e \sum_{o=0}^3 \binom 3o = 2^3 \sum_{e=1}^3 \binom3e = 8 \left(\sum_{e=0}^3 \binom3e - \binom30\right) = 8(2^3 - 1) = \boxed{56}$

where we use the binomial identity

$\displaystyle \sum_{k=0}^n \binom nk = \sum_{k=0}^n \binom nk 1^{n-k} 1^k = (1+1)^n = 2^n$

3 0

1 year ago

1 question. A big square is made up of 4 identical small squares the area of each small square is 25 cm A. Find the length of ea

Bogdan [553]

Answer:

50cm

200cm

50cm^2

Step-by-step explanation:

The big square is divided into 4 with a side length of 25cm. 2 small square side lengths make up the big squares.

25 * 2 =

50cm

50 + 50 + 50 +50 =

200

15 +2

8 + 2

17 * 10 = 170

15 * 8 = 120

170-120 = 50

50cm^2

5 0

2 years ago