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2 years ago

1. Find the volume of a cone with a diameter of 14 cm and a height of 25 cm.

Mathematics

1 answer:

slega [8]2 years ago

8 0

Answer:

V≈1282.82

Step-by-step explanation:

V=πr^2h

3=π·72·25

3≈1282.817

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How can x minus two-thirds = StartFraction 5 over 6 EndFraction be solved for x in one step?

Brums [2.3K]

Add Two-thirds to both sides

solution:

x-2/3= 5/6

We have to find how this can be solved for "x" in one step

Remember that,

We we add or subtract same number from both sides of a equation, the equation still remains true

Therefore, from given,

x-2/3=5/6

Add Two-thirds to both sides

x-2/3+2/3=5/6+2/3

x=5/6+2/3

x=9/6

Add Two-thirds to both sides to solve the sum

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2 years ago

Determined if the graph represents a polynomial function if it does determine the number of turning points and the least degree

skelet666 [1.2K]

<em>The graph of f is a polynomial function</em>
<em>There are two turning points, namely, x = 0 and x = -2</em>

<h2>Explanation:</h2>

A polynomial function in one variable is given by the form:

$f(x)=a_{n}x^n+a_{n-1}x^{n-1}+\cdots +a_{2}x^2+a_{1}x+a_{0}$

Since you haven't provided any expression, I'll choose the following function:

$f(x)=x^{3}+3x^{2}+3$

So this is indeed a polynomial function. A turning point is an x-value where we have either a local maximum or local minimum. So we need to take the derivative of this functions:

$f'(x)=3x^2+6x \\ \\ Finding \ turning \ points: \\ \\ 3x^2+6x=0 \\ \\ x(3x+6)=0 \\ \\ \\ So: \\ \\ x=0 \\ \\ and \\ \\ \ 3x+6=0 \therefore \ \boxed{x=-2}$

Conclusion:

<em>The graph of f is a polynomial function</em>
<em>There are two turning points, namely, x = 0 and x = -2</em>

<em />

<h2>Learn more:</h2>

Polynomial function: brainly.com/question/13729121

#LearnWithBrainly

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3 years ago

It is 2.3 km from Salma's house to the nearest mailbox. How far is it in meters?

Ivenika [448]

Answer:

2.3km in meters is 2300 Meters

Step-by-step explanation:

Multiply the length value by 1000

7 0

3 years ago

A)14 xy + 3 xy + 2[x[y - 17)<br> Simplify the expression.

tankabanditka [31]

Answer:

Let's simplify step-by-step.

14xy+3xy+2x(y−17)

=19xy−34x

5 0

3 years ago

Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all

Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that $p = 0.95$

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135$

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0

2 years ago