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3 years ago

What is a relation and what does it do in functions?

2 answers:

8 0

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y

padilas [110]3 years ago

8 0

A relation is just a friendship between sets of information

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia

Alla [95]

Answer:

$0.2122\text{ ft per min}$

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ $r=\frac{3h}{2}$ feet,

∵ Volume of a cone,

$V=\frac{1}{3}\pi R^2 H$

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

$V=\frac{1}{3}\pi r^2 h$

$=\frac{1}{3}\pi (\frac{3h}{2})^2 h$

$=\frac{3}{4}\pi h^3$

Differentiating with respect to t ( time )

$\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}$

We have,

$\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}$

$6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}$

$6=9\pi \frac{dh}{dt}$

$\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}$

4 0

4 years ago

Linear function need help ASAP

ElenaW [278]

Answer:

y=1/3x+2

Step-by-step explanation:

Because it is linear equation in 2 variables

4 0

3 years ago

Read 2 more answers

How much interest is earned on a $5,000 loan at 10% interest for 3 years?

Aleksandr-060686 [28]

Answer:

$1500

.................

5 0

3 years ago

Which expression is equivalent to 150x² - 60x ?

Bas_tet [7]

Answer: The Answer is B

Step-by-step explanation:

You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.

8 0

3 years ago

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In parallelogram WXYZ, what is CY? 11 ft 15 ft 21 ft 23 ft

erastovalidia [21]

Answer:

15 ft

Step-by-step explanation:

In a parallelogram the diagonals bisects each other

So WC= CY

$x+4=2x-7$ solve the equation for x

Subtract x from both sides

$x-x+4=2x-x-7$

$4=x-7$

Now we add 7 on both sides

$4+7=x-7+7$

x=11

Now we need to find CY

$CY= 2x-7$

Plug in 11 for x

$CY= 2(11)-7=22-7= 15$

6 0

4 years ago

Read 2 more answers