I NEED HELPPP ASAPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

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Answer 1

Answer: No, there are x sets that match the same one in the y set. The red one

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If a truck gets 14 mile to the gallon on average, how much carbon dioxide is emitted into the atmosphere when the truck travels 200 miles?

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the gas tank of a 2012 Toyota Prius holds 11.9 gallons how many pounds of carbon dioxide are produced by burning the entire tank of gas round to the hundredths place

Assume you drop a rock from a cliff which is 5000 feet above the ground. The distance in feet, y, of the rock below the cliff at the time t seconds after it was dropped is given by the equationY=-1/2gt^2

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Answer:

Step-by-step explanation:

Given that height of cliff H = 5000 ft

You drop rock from cliff and the distance of rock below the cliff at time,t is given by:

$y= -(1)/(2) gt^(2)$

Q1. How far below the cliff is the rock 7 seconds after it dropped ?

Ans. Here, t=7 seconds

By using formula provide, g=32.18 ft{tex] $s^(-2)$

y=- \frac{1}{2} × 32.17 × (7)^{2}[/tex] = 788.165 ‬ft

Note: Negative sign shows the direction and 240.345 is magnitude

Therefore, Rock is 788.165‬ ft from Cliff

Q2. How far is the rock from the bottom 7 seconds after it dropped ?

By using formula provide,

Ans. After 7 seconds, Rock is 788.165‬ ft from Cliff

Therefore, Rock is 5000-788.165‬ = 4,211.835 ft from bottom

Q3. When will rock hit the bottom?

Ans. Height of cliff H= 5000 ft

Using formula provided, g=32.18 ft $s^(-2)$

$y = -(1)/(2) gt^(2)$

$-5000 = - (1)/(2) 32.18 × t^(2)$

$t^(2) = (5000×2)/(32.18)$

$t^(2) = 311.13876$

$t = 17.6s$

Q4. The Velocity of the rock at impact?

Ans. Velocity is given as V= g×t

By using formula, We get

V= 32.14 × Total time to reach ground

V= 32.14 × 17.6 = 565.66 ft/s

The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials. (Let x, y, and z be the dimensions of the aquarium. Enter your answer in terms of V.)

Answers

Answer:

The dimensions of the aquarium that minimize the cost of the materials:

$x=y=\sqrt[3]{(2V)/(5)}\nz=\sqrt[3]{(25V)/(4)}$

Step-by-step explanation:

Let x, y and z be the dimensions of aquarium .

Surface area of an aquarium = xy+2yz+2xz

Volume of aquarium V= $Length * Breadth * Height=xyz$ ----A

We are given that slate costs five times as much (per unit area) as glass

So, Cost function : C=5xy+2yz+2xz

Now we will use langrage multiplier to find the dimensions of the aquarium that minimize the cost of the materials.

$\nabla C =\lambda \nabla V$

$((\partial C)/(\partial x),(\partial C)/(\partial y),(\partial C)/(\partial z))= \lambda ((\partial V)/(\partial x),(\partial V)/(\partial y),(\partial V)/(\partial z))$

$(5y+2z,5x+2z,2y+2x)=\lambda(yz,xz,xy)$

So,

$5y+2z=\lambda yz$ ----1

$5x+2z=\lambda xz$ -----2

$2y+2x=\lambda xy$ ----3

Multiply 1 ,2 and 3 by x,y and z respectively.

$5xy+2xz=\lambda xyz$ ----4

$5xy+2yz=\lambda xyz$ -----5

$2yz+2xz=\lambda xyz$ ----6

Now equate 4 and 5

5xy+2xz=5xy+2yz

x=y

Substitute y=x in 5 and 6 and equate them

$5x(x)+2(x)z=2(x)z+2xz\n5x^2=2xz\n5x=2z\n(5)/(2)x=z$

Substitute the values in A

$V = xyz = x * x * (5)/(2)xV=(5)/(2)x^3\n\sqrt[3]{(2)/(5)V}=x\nx=y=\sqrt[3]{(2)/(5)V}\nz=(5)/(2)x=(5)/(2)(\sqrt[3]{(2)/(5)})=\sqrt[3]{(25V)/(4)}$

Hence,

The dimensions of the aquarium that minimize the cost of the materials:

$x=y=\sqrt[3]{(2V)/(5)}\nz=\sqrt[3]{(25V)/(4)}$

An experiment consists of drawing 1 card from a standard 52 card deck? What is the probability of drawing a queen?

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4/52, or 1/13, or 8 percent(not very accurate or precise). You take the number of queens in a deck(4) and put it over the total number of cards in a deck(52). This gives you a probability of 1 in 13 or about 8 percent

4 out of 52 which is equal to 1/13

Using the diagram below, what is the measure of ZE?

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Answer:

Step-by-step explanation:

Think of line AE as a transversal. with DE and AB cutting across it. If we draw it out, looking at the picture, we can see that angles A and E correspond, meaning that angle A = angle E = 50

The minimum level of inventory needed to meet customer demand is called the

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Answer:

minimum level of stock

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