Basic Math Questions and Answers

12 199 If the end of the cable at A is pulled down with a speed of 2 m s determine the speed at which block B rises D 2 m s B

Seven Deadly Sins Seven Lively Virtues with Fr Robert Barron 1 After viewing give a short but concise heological foundation for each of the 7 deadly sins and what is the corresponding virt Label each one i e a b c 7 responses

Answer the questions for the function f x a Find formulas for f x and f x f x 9x 6x 1 1 x 18x 6 Enter f x f x and f x into your grapher to examine the table b Set the first derivative f x 0 to find any critical values Tip You may wish to graph f x by itself to explore if it has any zeros It can be helpful to know that the formula of f x factors Select t correct choice below and if necessary fill in the answer boxes within your choice A The function f has a critical number at x B at this critical number the second derivative f x 0 Type an exact answer OB There are no critical numbers c What conclusion can be made from your answer to part b Select the correct choice below and if necessary fill in the answer box within your choice OA At the critical number x the function f is concave down and corresponds to a relative minimum of f x B At the critical number x the function f is concave down and corresponds to a relative maximum of f x OC At the critical number x the function f is concave up and corresponds to a relative maximum of f x D At the critical number x the function f is concave up and corresponds to a relative minimum of f x OE No conclusion can be made using the second derivative test at this critical number

Answer the questions for the function f x 3x 3x x 3 a Find formulas for f x and f x f x 9x 6x 1 f x 18x 6 Enter f x f x and f x into your grapher to examine the table b Set the first derivative f x 0 to find any critical values Tip You may wish to graph f x by itself to explore if it any zeros It can be helpful to know that the formula of f x factors Select the correct choice below and if necessa in the answer boxes within your choice The function f has a critical number at x exact answer OA OB There are no critical numbers at this critical number the second derivative f x Typ

For the graph shown identify a the point s of inflection and b the intervals where the function is concave up or concave down a The point s of inflection is are 3 8 Type an ordered pair Use a comma to separate answers as needed J Q Q

On the interval shown for which graph is f negative f negative and f zero OA B O C OD OE

tch a graph that possesses the characteristics listed below f is increasing and concave up on 1 f is increasing and concave down on 1 00 Choose the correct graph below O A Z Q O B Q Q O C O D

The graph of f x is shown Assume f is twice differentiable Complete parts a through b below a At x 3 the graph of f and is concave A 3 2 un di 5 4 3 2 11 2 3 4 th A

Now that we are equipped with information on how to sketch graphs of polynomial functions your to design and sketch a real life example of a Polynomial Function or search online for an image of a Polynomial Function of your choice Give your Function a name and describe its following characteristics Sketch on x Degree Sign of leading coefficient End behaviour Domain Range y plane x intercepts y intercepts Equation include an calculations

1 What is Void static main etc means in C C 2 What is happend on at the back stage in C C complier 3 What application is best for pargram those two programming langue 4 How to make an window and actually put sprite and backstage in that window using C 5 Does I have to be very doog at math so that I can make a 3D game 6 How to use C to open read file make any needed fromat file in the fixed pathway 7 How to massage another C file to lunchor more action using C

During its opening weekend in late April 2019 the movie Avengers Endgame made 357 115 007 in 4 662 theaters 4 How much money did the movie make opening weekend on average per theater Hint VI

4 Suppose the vapor pressure of pure water at the temperature of your experiment e g 25 C is 3 kPa and the water activity of your sample is 0 85 What is the vapor pressure of water in the headspace of the sealed sample cup during experiment What is the dew point temperature of air in the headspace

G 2 Emily bought a puppy and has been tracking its weight at the end of each month since it was born She was told by the dog s breeder that the dog should have an adult weight somewhere between 45 and 50 pounds End of Month 1 2 3 4 5 6 7 8 9 10 11 12 Step 2 of 2 How do you interpret the result from the previous step 1 10 Correct Weight in pounds 4 6 11 15 17 22 25 29 33 38 44 46 HUNTER FINDLEY

Draw a graph to ma f x has a positive derivative over 9 and 9 2 a negative derivative over 2 00 and a derivative equal to 0 at x 9 Which of the following graphs matches the description OA Q O B O C Q OD Q

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The carbohydrate content of a glycoprotein a protein with sugars attached to it is determined to be 12 6 11 9 13 0 12 7 and 12 5 g of carbohydrate per 100 g of protein in replicate analyses Find the means and standard deviations Find the 50 and 90 confidence intervals for the carbohydrate content For this question you will need to use Values of Student s test in your textbook Table 4 2 in 7th Ed that is available on Canvas 50 confidence interval Mean Standard deviation 90 confidence

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OBFW Publishers The U S Central Intelligence Agency collects a variety of data pertaining to countries all over the world The provided boxplots summarize information on different aspects of the populations of these countries Match each histogram to its corresponding boxplot A boxplot of the annual death rates The median for the boxplot sits in the middle of the box The two lines or whiskers that extend from the box are of equal length A boxplot of the median age of the population The median for the boxplot sits whiskers that extend from the box are of equal length and are short The box por A boxplot of the population growth rate The median for the boxplot sits in the whiskers that extend from the box are of equal length and are long The box por outlier on the far left side of the plot is denoted by an open circle A boxplot of the life expectancy at birth The median for the boxplot sits close or whisker that extends from the third quartile is shorter than the line that extend outliers on the far left side of the plot are denoted by open circles A boxplot of the infant mortality rates The median for the boxplot sits closer t whisker that extends from the first quartile is shorter than the line that extends fr on the far right side of the plot are denoted by open circles Answer Bank A histogram with a high peak on the right side of the x axis The heights of the bars start low on the left side of the graph and gradually get taller towards the right side A histogram that is roughly symmetric and shaped like a bell curve A histogram that is roughly symmetric but has a slightly higher peak than a standard bell curve and both ends trail off drastically A histogram with a high peak on the left side of the x axis The heights of the bars start to decrease as the graph trails off towards the right side or ble line le or atliers

www Draw a Venn diagram for the relationship AUBNC A A B A 3

Consider the following Venn diagram O AUB O An B U R A Describe the shaded region The shaded region includes everything except Select Use set notation to identify the shaded region O An B OAUB B

2 8 points Find the directions in the xy plane in which f x y 3 2x y has zero change at the point 1 2 3 Express the direction in terms of unit vectors

5 2 points Imitate an example from class to parametrize the curve that is the intersec tion of the cylinder x y 4 and the hyperboloid z x y Use Simpson s Rule refresher here with n 8 intervals to approximate the arc length of this curve

2 2 points Recall from one variable calculus the Mean Value Theorem which states that if a function is differentiable on a b then there exists a c a b such that f c f b f a b a Is the same true in multivariable calculus That is if r t is differentiable on a b must there be a c with a c b such that r c r b r a b a

5 A student used a balance and a graduated cylinder to collect the following data Sample mass Volume of water 10 23g 20 0 mL Volume of water and sample 21 5mL a Calculate the density of the element Include the appropriate number of significant figures and proper units Show your work b If the accepted value is 6 93 grams per milliliter calculate the percent error c What error is introduced if the volume of the sample is determined first

3 6 points Find an equation of the plane tangent to 2 at the point 4 2 0 x z y z

3 During a laboratory experiment a sample of aluminum is found to have a mass of 12 50 grams and a volume of 4 6 milliliters What is the density of this sample expressed to the correct number of significant figures A 2 717 g mL 4 The diagram below representa C 3 B 3 g mL C 2 7 g mL D 4 D 2 72 g mL

Using the quotient rule differentiate each of the following a f x x b f x x 1 2x 1 x 3 c x x 3x 5 1 x 2

2 If the moisture content of oil seed newly harvested is 25 on a wet basis determine the amount of water that has been removed from 1 000 kg seed to a final moisture content of 10 on a wet basis

Question 6 In a year when the maximum income for Social Security was 106 800 Bart worked two jobs In one job he earned 99 112 second job he earned 56 222 Both of his employers took out the 6 2 Social Security tax As a result Bart had paid excess Social Security tax and the government must return some of it to him How much does the government owe him for excess Social Security paid

Assignment Score 46 2 Question 10 of 13 Macmillan Learning equation of secant line y 1 39 Resources 3x 1 Lx Give Up Find the equation of the secant line for f x In x for the interval 1 4 Express numbers in exact form Use symbolic notation and fractions where needed Let y f x and give the equation in terms of y and x Feedback Attempt 2

6 Let x represent the regular price of a book a Give a function f that represents the price of the book if a P100 price reduction applies b Give a function g that represents the price of the book if a 10 discount applies c Compute fog x and gof x Describe what these mean Which of these give a better deal for the customer

3 n e answer above is NOT correct 3n 1 point Find the sum of the arithmetic sequence below incorrect This answer is equivalent to the one you just submitted 11 8 5 2 11 3n

Five school mates Ben Kevin Frans Maya Alina competed who was the quickest to build a card house They all started the competition at the same time Ben was ready before Alina but later than Maya Kevin was ready before Frans but only after Alina Select the correct order of school mates from the quickest to the slowest Maya Ben Alina Kevin Frans Alina Kevin Ben Maya Frans o Maya Ben Alina Frans Kevin o Maya Ben Kevin Frans Alina o Ben Alina Maya Frans Kevin o Ben Maya Alina Frans Kevin Alina Kevin Frans Maya Ben

The model represents an equation X X X X X 1 Based on the model what is the value of x X X X H H 1

Wildlife researchers try to predict the weight in pounds of alligators by measuring their length in inches from aerial photographs They collected data on adult alligators and computed a 387 1 least squares regression line 381 2 weight 393 5 9 x length a What effect on average does an increase of 1 inch in length have on weight The increase in length

2 1 point Fatima wants to paint ten square signs like the one shown Each sign needs two coats of paint for each colour How much grey paint does she need A 2 1700 in b 2330 in C 15 in 8 in 2230 in d 2270 in

7 1 point Calculate the surface area of this right triangular prism to the nearest square inch a 49 in b 97 in 4 3 in C 6 4 in 99 in 3 8 in d 84 in

6 1 point What is the surface area of the prism a 535 cm b 580 mm C 23 mm 485 mm 5 mm d 510 mm

5 1 point The volume of a cylindrical container with a height equal to its radius is 817 cm What is the radius to the nearest tenth a 9 1 cm b 16 1 cm 3 0 cm d 6 4 cm

3 1 point Determine the volume of concrete needed to construct this ramp to the nearest tenth of a cubic metre 32 cm a 72 cm b 1 4 m 1 9 m c 0 36 m 1 2 m d 0 4 m

Ication Directions Select the most correct answer for each of the questions below 1 1 point What is the area of the figure 6 m 2 5 m

The following information is known to be true All seadolls are birds Seadolls nest on small rocky islands with other bird species Some birds on these sites are greyish Seadolls nesting habits are influenced by the fear of predators Some predators can swim or attack from the air Based on the information given above which of the following conclusions must be true Choose the correct alternative e Some greyish birds are seadolls All seadolls are greyish Some seadolls are greyish All greyish birds are seadolls of the conclusions above are necessarily true

Suppose that 80 000 is invested at 9 interest Find the amount of money in the account after 0 years if the interest is compounded annually If interest is compounded annually what is the amount of money after t 10 years Do not round until the final answer Then round to the nearest cent as needed

The amount of a radioactive isotope present in a certain sample at time t is given by A t 700 0028311 grams where t years is the time since the initial amount was measured a Find the initial amount of the isotope that is present in the sample b Find the half life of this isotope That is find the number of years until half of the original amount of the isotope remains a The initial amount of the isotope that is present in the sample is grams

The formula for pH is pH log H where H is the hydrogen ion concentration The pH of a fruit juice is 3 2 What is the hydrogen ion concentration of the juice The hydrogen ion concentration H is approximately 10 Round to the nearest tenth moles per liter

e Find the inverse of the following matrix show your work 4 2 1 639 A 9 0 3 45 5

A government considers a single person as living in poverty if his or her income falls below the official poverty level which is adjusted every year for inflation The function that models the povert threshold for the years 1987 2008 is f x 3128 3 4054 2 In x dollars where x is the number of years after 1980 a What does this model give as the poverty threshold in 2014 In 20227 b Is this function increasing or decreasing c Graph the function 3128 3 4054 2 Inx for x 5 tox 45

At the end of an advertising campaign weekly sales at an electronics store declined according to the equation y 4500 302 dollars where x is the number of weeks after the end of the campaign a Graph the function for 0 sxs60 b Use the graph to find the weekly sales 10 weeks after the campaign ended c Comment on It pays to advertise for this store a Choose the correct graph below 2500 30 60 Q Q G b The weekly sales 10 weeks after the campaign ended is OB 5000 2500 0 30 60 Q 2 OC AY 5000 1 2500 10 30 Q