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3 years ago

What is the end behavior of y=c(x)?

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

That asserts the equality of two expressions, which are connected by the equals sign "=". The word.

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A hemispherical bowl has a radius of 3.5 cm. What would be the<br>volume of water it would contain?

kirill [66]

Answer:

89.80 cm cubed

Step-by-step explanation:

A hemisphere is essentially just half of a sphere. We want to find its volume.

The volume of a sphere is denoted by: V = (4/3)π * r³, where r is the radius. That means the volume of a hemisphere, which is half a sphere, will be denoted by: V = (1/2) * (4/3)π * r³ = (2/3)π * r³.

Here, the radius is 3.5, so plug this in:

V = (2/3)π * r³

V = (2/3)π * (3.5)³ ≈ 89.80 cm cubed

4 0

4 years ago

Read 2 more answers

The equation y^2+8y−x+18=0 represents a parabola. Drag and drop the expressions into the boxes in the equation to rewrite the eq

mario62 [17]

Answer:

The equation of parabola is standard form is $x=\left(y+4\right)^2+2$

Step-by-step explanation:

Given equation of parabola is,

$y^2+8y-x+18=0$

In order to find the equation of parabola in standard form, eliminate x from left side of equation and use completing square method to find the equation.

First step is to add x on both side of equation.

$y^2+8y-x+18+x=0+x$

$y^2+8y+18=x$

Rewriting,

$x=y^2+8y+18$

Now applying completing square method as follows.

Following are the steps for calculation of this method.

Find the last term of above equation by using below formula,

$Last\:term\:of\:square=\left(\dfrac{coefficient\:of\:y}{2}\right)^{2}$

Now coefficient of y is 8.

$\therefore Last\:term\:of\:square=\left(\dfrac{8}{2}\right)^{2}$

Simplifying,

$Last\:term\:of\:square=\left(4\right)^{2}$

$Last\:term\:of\:square=16$

Second step is to add and subtract the last term.

$x=y^2+8y+18+16-16$

Rewriting,

$x=y^2+8y+16+18-16$

Since $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$

Using above formula,

$x=\left(y+4\right)^{2}+2$

Therefore, the equation of parabola in standard form is $x=\left(y+4\right)^{2}+2$

4 0

3 years ago

Find the answer to the variable <br><br> -4-10=4y+3y

netineya [11]

-4-10=4y+3y

-14=7y

y=-2

8 0

3 years ago

How can you solve x-8y=40?

OLga [1]

$Simplifying
x + -8y = 40

Solving
x + -8y = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '8y' to each side of the equation.
x + -8y + 8y = 40 + 8y

Combine like terms: -8y + 8y = 0
x + 0 = 40 + 8y
x = 40 + 8y

Simplifying
x = 40 + 8y$