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3 years ago

1 1/2 feet a width of 2 1/2 and height of 8 inces what is the volume

1 answer:

8 0

One way of calculating the volume would be to convert all of these measurements to decimal:

V = (18 in)(30 in)(8 in) = 4320 cubic in

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Geometry math question

Galina-37 [17]

The answer is d! The angle forms around the letter f therefore we need to make sure that the letter either remains in the middle or by itself. The only answer choice that does not match these options as E is in the middle is D. Hope this helped :)

6 0

3 years ago

Read 2 more answers

Line m passes through the points (-2,7) and (4,-5), as shown below. Which of the following could be the equation of a line that

True [87]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

To find the slope (m), use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$ And plug in the two points

(-2, 7) = (x₁, y₁)

(4, -5) = (x₂, y₂)

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-5-7}{4-(-2)}$ (two negative signs cancel each other out and become positive)

$m=\frac{-5-7}{4+2}$

$m=\frac{-12}{6}$ Simplify the fraction

m = -2

The slope is -2, so the parallel line's slope is also -2.

Your answer is C

3 0

3 years ago

Part A: Create a third-degree polynomial in standard form. How do you know it is in standard form? (5 points)

Svetlanka [38]

Answer:

(See explanation for further details)

Step-by-step explanation:

a) Let consider the polynomial $p(x) = 5\cdot x^{3} +2\cdot x^{2} - 6 \cdot x +17$ . The polynomial is in standards when has the form $p(x) = \Sigma \limit_{i=0}^{n} \,a_{i}\cdot x^{i}$ , where $n$ is the order of the polynomial. The example has the following information:

$n = 3$ , $a_{0} = 17$ , $a_{1} = -6$ , $a_{2} = 2$ , $a_{3} = 5$ .

b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:

Closure with respect to addition:

Let consider polynomials $p_{1}$ and $p_{2}$ such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$ and $p_{2} = \Sigma \limits_{i=0}^{n}\,b_{i}\cdot x^{i}$ , where $m \geq n$

$p_{1}+p_{2} = \Sigma \limits_{i=0}^{n}\,(a_{i}+b_{i})\cdot x^{i} + \Sigma_{i=n+1}^{m}\,a_{i} \cdot x^{i}$

Hence, polynomials are closed with respect to addition.

Closure with respect to multiplication:

Let be $p_{1}$ a polynomial such that:

$p_{1} = \Sigma \limits_{i=0}^{m} \,a_{i}\cdot x^{i}$

And $\alpha$ an scalar. If the polynomial is multiplied by the scalar number, then:

$\alpha \cdot p_{1} = \alpha \cdot \Sigma \limits_{i = 0}^{m}\,a_{i}\cdot x^{i}$

Lastly, the following expression is constructed by distributive property:

$\alpha \cdot p_{1} = \Sigma \limits_{i=0}^{m}\,(\alpha\cdot a_{i})\cdot x^{i}$

Hence, polynomials are closed with respect to multiplication.

4 0

3 years ago

Given that sin(x)= 7/11, find cos(90-x)

marta [7]

Yes indeed it is 7/11

6 0

3 years ago

Determine the inverse of f(x)=3x+4 algebraically

Fed [463]

Answer:

1/3x +4

is the inverse of f(x) = 3x + 4.

Check:

The purpose of the inverse property of multiplication is to get a product of one. So the inverse multiplied with the original number (or equation) should give us the product of one.

1 / (3x + 4) * 3x + 4 = 3x+4 / 3x+ 4 = 1

7 0

3 years ago