Would this be correct?

Which term does not belong with the other three?

Brrunno [24]

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

a line segment (AB)
a plane (CDE)
a line (FG)
a ray (HI)

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

The one that does not belong has a different number of dimensions.

6 0

3 years ago

A gum ball has a radius that is 30mm. The radius of the gumballs spherical hollow core is 28mm. What is the volume of the gum ba

Arada [10]

Answer:

V = 21145.01 mm³

Step-by-step explanation:

Given that:

The radius of the gumball = 30 mm

The radius of the spherical hollow-core = 28 mm

Consider the radius of the gumball to be $r_2$ and the radius of the spherical hollow-core to be $r_1$ . Then;

The volume of the gumball can be determined by using the formula of a sphere.

$V = \dfrac{4}{3}\pi (r_2^3 - r_1^3)$

$V = \dfrac{4}{3} \times \pi \times (30^3 - 28^3)$

V = 21145.01 mm³

5 0

3 years ago

The total cost (in hundreds of dollars) to produce x units of a product is c(x) = (3x-2) / (8x+1), find the average cost for eac

olya-2409 [2.1K]

Answer:

a) $\frac{74}{10025}$

b) $\frac{3x-2}{x(8x+1)}$

c) $\frac{-24x^2+32x-2}{(8x^2+x)^2}$

Step-by-step explanation:

For total cost function $c(x)$ , average cost is given by $\frac{c(x)}{x}$ i.e., total cost divided by number of units produced.

Marginal average cost function refers to derivative of the average cost function i.e., $\left ( \frac{c(x)}{x} \right )'$

Given: $c(x)=\frac{3x-2}{8x+1}$

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

a)

At x = 50 units,

$\frac{c(50)}{50}=\frac{150-2}{50(400+1)}=\frac{148}{50(401)}=\frac{74}{10025}$

b)

Average cost = $\frac{c(x)}{x}=\frac{3x-2}{x(8x+1)}$

c)

Marginal average cost:

Differentiate average cost with respect to $x$

Take $f=3x-2\,,\,g=8x^2+x$

using quotient rule, $\left ( \frac{f}{g} \right )'=\frac{f'g-fg'}{g^2}$

Therefore,

$\left ( \frac{c(x)}{x} \right )'=\left ( \frac{3x-2}{8x^2+x} \right )'\\=\left ( \frac{3(8x^2+x)-(16x+1)(3x-2)}{(8x^2+x)^2} \right )\\=\frac{24x^2+3x-48x^2-3x+32x+2}{(8x^2+x)^2}\\=\frac{-24x^2+32x-2}{(8x^2+x)^2}$

3 0

3 years ago

You go to "Ice Cream Palace" for dessert one day. You can get vanilla, chocolate, or twist ice cream. You have a choice of rainb

Kitty [74]

Answer:

54 combinations.

Explanation:

3x3x2x3= 54

3 0

3 years ago

A group of 32 players forms 4 volleyball teams if there are 96 players how many teams can be formed

kotegsom [21]

Answer:

12 teams

Step-by-step explanation:

We know that 38 players can fit into 4 groups, 8 times ...

32 divide 8 = 4

We have the number with 96, and we need to find the groups

we do the same as done with the first one...

because 32 divided by 8 is 4

we do

96 divide 8 = 12

aswell

<h2>hope this helped : )</h2>

6 0

3 years ago

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