Math - Others Questions

A refrigerator operates at steady state with a coefficient of performance of 4 5 and a power input of 0 8 kW Energy is rejected from the refrigerator to the surroundings at 20 C by heat transfer from metal coils attached to the back Determine a the rate energy is rejected in kW b the lowest theoretical temperature inside the refrigerator in K

Find a unit vector u in the direction opposite of 3 9 9 u 3 9 9

Two functions g and fare defined in the figure below 2 5 7 a Domain of g 09 Range of g 8 Domain of f 3 Range of f Find the domain and range of the composition fog Write your answers in set notatic a Domain of fog 0 b Range of fog 0 X 0 0

Copy the incomplete axes and fill consistent a 0

7 1 11 550 901 481 228 166 420 161 152 119 987 184 147 803 118 2 194 111 5 638 491 S 811 639 11 201 174 14 353 235 200 28 307 83 3 641 441 416 410 27 9 129 110 12 212 184 15 983 676

Two functions g and fare defined in the figure below 8 Domain of g 8 Range of g Domain of f 7 Range of f Find the domain and range of the composition fog Write your answers in set notatic a Domain of fog 0 b Range of fog 0 X 0 0 S

1 point Find a vector a that has the same direction as 10 5 10 but has length 3 Answer a 15 help vectors

Results for this submission Entered 0 229416 0 688247 0 688247 The answer above is NOT correct u Find a unit vector u in the direction opposite of 3 9 9 171 Answer Preview 171 9 171 171 9 171 Result incorrect Message The first coordinate is incorm The second coordinate is inca The third coordinate is incor

assign Problem 20 1 point Find a vector that is perpendicular to the plane through the points A 1 1 3 B 1 5 3 and C 0 5 1 V

assign7 Problem 19 1 point Determine if the pairs of vectors below are parallel orthogonal or neither a 1 4 5 and b 5 20 17 are a 1 4 5 and b 5 20 25 are a 1 4 5 and b 5 20 25 are Note You can earn partial credit on this problem

1 point Find the angle between the vectors a 7i j 4k and b 2i j 1k Answer in radians 0

Find two unit vectors orthogonal to a 3 4 3 and b 5 0 5 Enter your answer so that the first vector has a positive first coordinate First Vector Second Vector

Find a vector a that has the same direction as 10 5 10 but has length 3

assign7 Problem 14 1 point Find the lengths of the sides of the triangle with the vertices A 2 1 4 B 0 2 8 and C 4 3 7 1 AB 2 AC 3 BC 4 Is AABC an isosceles triangle Note In order to get credit for this problem all answers must be correct Preview My Answers Submit Answers

1 point Find the volume of the parallelepiped defined by the vectors Volume 4 ACE 2 2

1 point Find a b if a 10 b 7 and the angle between a and b is 2 Answer

1 point If a i j 4k and b i j 5k Compute the cross product a x b axb i j Note You can earn partial credit on this problem

1 point Find all vectors in 2 dimensions having 13 where the component of vis 57 vectors 0 If you find more than one vector enter them in a comma separated list

Given Irish Red sales and cost data from the last question assume that Shannon s estimates that the sales of the new Irish Stout will be about 250 pints per month but 24 of these sales will be cannibalized from sales of Shannon s Irish Red Compute the total combined increase or decrease incremental change in contribution dollars for both Irish Red and Irish Stout expected with cannibalization Express your answer to the nearest dollar Do not include the dollar sign

Let X represent the full height of a certain species of tree Assume that X has a normal probability distribution with a mean of 108 6 ft and a standard deviation of 8 2 ft A tree of this type grows in my backyard and it stands 103 7 feet tall Find the probability that the height of a randomly selected tree is as tall as mine or shorter P X 103 7 My neighbor also has a tree of this type growing in her backyard but hers stands 112 7 feet tall Find the probability that the full height of a randomly selected tree is at least as tall as hers P X 112 7

Find the z scores that separates the middle 78 of the distribution from the area in the tail of the standard normal distribution First z score Note If it did not work try switching your answer around Second z score

Suppose you own a savings bond that will pay you 100 in 7 years If the annual interest rate is 2 what is the present value of the savings bond O 27 91 O 87 06 93 64

1 Let s stretch a little on this one Assume Shannon s Irish Red sells 1 000 pints per month in the absence of any cannibalization Assume also that the new Irish Stout will sell 500 pints per month The relevant price and cost data are Price Irish Red 5 00 Unit Variable Costs 2 75 Irish Stout 5 34 3 25 What will be the maximum percentage cannibalization that can exist before the overall change in contribution dollars becomes negative Express your answer in percentage form to the nearest percent e g 99 49 ounds down to 99 99 50 rounds up to 100 Do not include the symbol

represents a function a set of ordered pairs or hain and range of the 8 For each relation below Determine whether the relation is a function Justify your answer Identify the domain and range relation of each a 1 1 2 8 3 27 4 64 b 3 4 3 5 3 6 3 7 d Does the set of ordered pai function Explain b Suppose the elements in th were reversed Use the asso number of sides Would t a function Explain c Identify the domain and relation in parts a and b 11 The Rassemblement jeunes

15 a For the function f n 2n 7 determine n when i f n 11 ii f n 6 b For the function g x 5x 1 determine x when i g x 41 ii g x 16 Th

b Determine the value of C 100 What does this number represent c Determine the value of n when C n 5000 What does this number represent Answers a C n 25m 1000 b 3500 c 160 5 Which sets of ordered pairs represent functions Identify the domain and range of each set of ordered pairs a 1 3 2 6 3 9 4 12 b 1 0 0 1 1 0 0 1 c 2 3 4 5 6 7 8 9 d 0 1 0 2 1 2 0 3 1 3 2 3 6 Write in function notation

ke n values 7 Write as an equation in two variables a d t 3t 5 b f x 6x 4 c C n 5n d P n 2n 7

of d de 6 Write in function notation a C 20n 8 b P n 3 c t 5d d y x 3 2 3

1 Evaluate the following expressions given the functions below h x 12 X g x 3x 1 a g 10 b f 3 c h 2 d j 7 e h 3 f g 5 g f 4 f x x 7 h Find x if g x 16 i Find x if h x 2 i Find x if f x 23 j x 2x 9

3 Given this graph of the function f x Find a f 4 e x when f x 2 b f 0 f x f x when f x 0 c f 3 d f 5

5 Swine flu is attacking Porkopolis The function below determines how many people have swine where t time in days and S the number of people in thousands S t 9t 4 a Find S 4 b What does S 4 mean c Find t when S t 23 d What does S t 23 mean e Graph the function

2 Translate the following statements into coordinate points a f 1 1 b h 2 7 c g 1 1 d k 3 9

Is life so dear or peace so sweet as to be purchased at the price of chains and slavery Forbid it Almighty God I know not what course others may take but as for me give me liberty or give me death Patrick Henry William Jennings Bryan argued that Patrick Henry s words applied to which of the following O United States citizens O United States citizens living abroad United States citizens and all foreign people OForeigners living and working on United States soil

For the real valued functions f x notation fog x Domain of fog x 6 and g x 4x 9 find the composition fog and specify its domain using interv x 3 3 09 010 0 0 0 0 OVO 0 0 0 0

Two functions g and fare defined in the figure below w b Domain of g 19 Range of g Domain of Range of f Find the domain and range of the composition fog Write your answers in set notatio a Domain of fog 0 Range of fog X 0 0

Suppose that the functions fand g are defined as follows 1 x 2 4 x 4 g x 4x 3 Find fig and f g Then give their domains using interval notation f g x Domain of fig 8 x 8 OVO X 0 0 C 0 0 C S

Two functions fand g are defined in the figure below Domain of f 7 Range of f Domain of g 00 Range of g Find the domain and range of the composition g of Write your answers in set notatic a Domain of g of 0 b Range of g of 0 0 X 0 0 G

Suppose that the functions u and w are defined as follows u x 2x 2 w x x Find the following u ow 2 wou 2 X S

Domain h Function Not a function Relation 1 Function Not a function Relation 3 Domain Range j e n d f sun sun sun sun sun Range 2 8 7 3 6 Domain O Function O Not a function Relation 2 Relation 4 Domain Range 6 2 4 0 Function Not a function 3 7 6 3 6 0 Range S a b

For each relation decide whether or not it is a function Domain lake tree sun pencil O Function O Not a function Relation 1 Function Not a function Range 9 8 8 Relation 3 u j g j b u j b Domain 8 8 9 6 O Function O Not a function Relation 2 Function Not a function Range 9 4 8 6 4 Relation 4 0 x 5 z 5 m 5 b

The braking distance D v in meters for a certain car moving at velocity v in meters second is given by D v The car s velocity B t in meters second t seconds after starting is given by B t 7t Write a formula for the braking distance S 1 in meters after seconds It is not necessary to simplify s 010 B V 26

Suppose that the functions g and h are defined for all real numbers x as follows g x x 2 h x 4x Write the expressions for h g x and h g x and evaluate h g 3 h g x h g x h g 3

The functions f g and h are defined as follows f x 7 4x 8 x 3 x h x 6 5x Find s 8 3 and h 4 Simplify your answers as much as possible 0 h 4 olo X 5

Domain Range Function Not a function Relation 1 Function Not a function t r d N k z a N N N Relation 3 2 8 7 7 8 7 9 8 Domain Range 0 door 7 lake 5 5 4 Function Not a function Relation 2 Function Not a function cloud lake door Relation 4 k 0 b 0 t 0 w 0

Suppose that the functions q and r are defined as follows q x x 2 r x x 2 Find the following 9 r 4 rog 4 X 6

The functions f g and h are defined as follows f x 2x 2 g x 3 x 8 4 x 3 1 x x Find f 4 g 4 and h 4 Simplify your answers as much as possible X

The function h is defined by h x 3x 2 Find h 3x h 3x

The functions f g and h are defined as follows f x 8x 13 g x 2x 2 h x 2 10 Find 2 g 3 and 2 Simplify your answers as much as possible 0 g 3 h 2 0 X S

The function f is defined by f x 2x 7 Find f 4a f 4a

Homework 14 Distribution Date 10 26 2023 Due Date 10 30 2023 1 Calculate o u o at A B C and D Refer to the figure below H2 H3 Layer 1 H 4 m e 0 5 Gs 2 65 A B C Dry sand Sand Layer 2 H 1 5 m e 0 65 Gs 2 68 Clay Rock Layer 1 Groundwater table Layer 2 Layer 3 Layer 3 H 3 m e 0 81 Gs 2 71 NOTE Show all the calculation steps