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What's the distance school and the library

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The library is a magical place where you read and check out books and the local library makes funny puns like turning a redbox into a redbox for books.

A cone and a cylinder have congruent height and bases. The volume of the cone is 18. What is the volume of the cylinder? Explain please and thank you!

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The volume of a cone is given by the formula: V = 1/3 * B * h where B is the area of the base and h is the height of the cone.

The volume of a cylinder is given by the formula V = B*h where B is the area of the base and h is the height of the cylinder.

1/3 Bh = Bh because the bases and heights of the two solids are the same.

The volume of the cylinder is 3 times the volume of the cone.
3 * 18 = 54 which is the volume of the cylinder.


Correct Answer:

The cones are not congruent because one cone is oblique, which makes the length of the slant heights different. Having the same radius, height, and volume does not make the cones congruent when the corresponding slant heights are not equal. Congruent cones must have congruent corresponding slant heights, with all other corresponding parts being congruent.

The price of a new car is 16000$ Mr Mar paid 15% of the price as a down payment how much does he still owe? (Please help and explain)

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Ok 15% is 0.15 in decimal form so you multiply 0.15 by 16000$ and get 2,400$ (the down payment not amount owed) you then subtract 2,400$ from 16,000$ and get 13,600$ which is how much he still owes 
The cost of the new car is $16,000.
Down payment amount is $2,400.
Amount still owed by Mr Mar is $13,600.

What is 2x times x squared?

Answers

We want to multiply the monomial 2x by the monomial 2x^2.

Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: (a^m)(a^n)=a^(m+n), (x^2)(x^4)=x^(2+4)=x^6. Also, is worth pointing out that the exponent of a variable with no exponent is 1: x=x^1.

Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so x=1x. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.

Let's apply all of that to our multiplication:

(2x)(x^2)=(2x^1)(1x^2)=2*1x^(1+2)=2x^3

We can conclude that 2x times x squared is 2x cubed.



2x times x is \boxed{\bf 2x^(3)}.

Further explanation:

A monomial is an expression which contains one term and a monomial includes numbers and variables which are multiplied together. The constant term is multiplies with an another constsnt term and the variable is multiplies with an another variable term.

Law of exponent:

Product with same base: If we multiply the same bases with different exponents then the base remains the same and the exponents are added in the final product.

Calculation:

Now, we are given the two monomials as 2x and x^(2).

Multiplying both the monomials as follows:

\boxed{2x\cdot x^(2)}  

Here, x is a variable and x has power 1 in the first monomial and x has power 2 in the second monomial.

Using the mentioned law of exponents as the variable x is similar in both the monomial and add the powers of both as follows:

\boxed{\begin{aligned}2x\cdot x^(2)&=2x^(1+2)\n&=2x^(3)\end{aligned}}

Therefore, 2x times x is \boxed{\bf 2x^(3)}.

Learn more

1. Problem on the whole numbers are positive integers brainly.com/question/1852063.

2. Problem on the adding and simplifying the numbers brainly.com/question/894273

3. Problem on general form of the equation of the circle brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Polynomials

Keywords:  Trinomials, binomials, monomials, polynomials, variables, exponents,  real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, function, domain, range, codomain, graph, abscissa, coordinates, roots of polynomials, bivariate polynomials.

A submarine is at 756 feet below sea level how many feet will it need to rise to be at the surface?

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If a submarine is 756 feet below sea level in order to come to 0 sea level it will have to rise as much as it dropped which is 756 feet.

which of the following represent the equation of a line with the slope of 1/4 that passes through the point (-8,2)

Answers

Answer:

The equation of a line with the slope of 1/4 that passes through the point (-8,2) is y=(x)/(4)+4

Solution:

Given, slope of a line is (1)/(4) and a point is (-8, 2)

We have to find the line equation with above given values.

Now, we know that, point slope form of a line is

y-y_(1)=m\left(x-x_(1)\right)

Where, m is slope of line and \left(x_(1), y_(1)\right) \text { is point on that line. }

Here in our problem, \mathrm{m}=(1)/(4) \text { and }\left(\mathrm{x}_(1), \mathrm{y}_(1)\right)=(-8,2)

So, substitute above values in general form.

\begin{array}{l}{y-2=(1)/(4)(x-(-8))} \n\n {y-2=(1)/(4)(x+8)}\end{array}

4(y – 2) = (x + 8)

4y – 8 = x + 8

x – 4y + 8 + 8 = 0

x – 4y + 16 = 0.

4y = x +16

y=(x)/(4)+4

Hence the equation of a line with the slope of 1/4 that passes through the point (-8,2) is y=(x)/(4)+4

Answer:

y = 1/4x + 4 or y - 2 = 1/4(x + 8)