Math - Others Questions

60 50 40 30 20 10 10 10 Rafaela is a lifeguard and spots a drowning child 40 meters along the shore and 60 meters from th shore to the child Rafaela runs along the shore for a while and then jumps into the water and swims from there directly to the child Rafaela can run at a rate of 3 meters per second and swim a a rate of 1 meter per second How far along the shore should Rafaela run before jumping into the water in order to save the child Round your answer to three decimal places 10 20 30 40

Observers in two towns A and B on either side of an h 11 000 ft mountain measure the angles of elevation between the ground and the top of the mountain See the figure below Assumin that the towns and the mountain tople in the same vertical plane find the horizontal distance between them where a 23 and 47 Round your answer to two decimal places

sif 1 000008

The marginal cost in dollars per square foot of installing x square feet of kitchen countertop is given by C x x a Find the cost of installing 45 ft2 of countertop b Find the cost of installing an extra 13 ft2 of countertop after 45 ft2 have already been installed

In a large business hotel 40 of the guests read the Los Angeles Times Only 25 read the Wall Street Journal Five percent of guests read both papers Suppose we select a hotel guest at random and record which of the two papers the person reads if either Which Venn diagram correctly displays the outcomes of this chance process Use events L reads the Los Angeles Times and W reads the Wall Street Journal

A At a zoo an Asian elephant weighs about 3 Tons and eats about 300 pounds of food a day What percentage of its body weight does the elephant eat each day Part Whole Percent B

7e x x 6x 7

This is a strong positive correlation between the number of corrections assignments completed and the overall course grade in this class The line of best fit is given by y 15 4z 6 where x is the number of corrections assignments completed and y is the overall course grade Suppose someone completes 6 correction assignments What can you predict for their overall course grade When 6 corrections assignments are completed I can predict the overall course grade will be

Select the correct answer A ferry takes several trips between points A and B It moves at a constant speed of 0 35 miles minute and takes the same route on each trip The total duration of a round trip from point A to point B and back is 80 minutes ignoring the time spent stopped at point B If d is the ferry s distance from point A in miles and t is the time in minutes which equation models the ferry s distance from point A for the duration of the trip OA d 10 35t 401 40 d 10 35t 801 80 B O c O D d 10 35t 281 28 d 10 35t 141 14

ing par stock On January 22 Jefferson County Rocks Inc a marble contractor issued for cash 230 000 shares of 20 par common stock at 25 an on February 27 it issued for cash 12 000 shares of preferred stock 8 par at 14 a Journalize the entries for January 22 and February 27 If an amount box does not require an entry leave it blank Jan 22 Cash Common Stock Paid In Capital in Excess of Par Common Stock Feb 27 Cash Preferred Stock Paid In Capital in Excess of Par Preferred Stock Feedback Check My Work 000 000 100 000 X X X

Solve for all values of x 8 x x 1 1 x 1

Effect of stock split Willey s Grill Restaurant Corporation wholesales ovens and ranges to restaurants throughout the Southwest Willey s Grill Restaurant which had 345 000 shares of common stock outstanding declared a 3 for 1 stock split a What will be the number of shares outstanding after the split shares b If the common stock had a market price of 360 per share before the stock split what would be an approximate market price per share after the split per share

Entries for issuing stock On January 22 Zentric Corporation issued for cash 180 000 shares of no par common stock at 12 On February 14 Zentric issued at par value 50 000 shares of preferred 2 stock 50 par for cash On August 30 Zentric issued for cash 20 000 shares of preferred 2 stock 50 par at 54 Journalize the entries to record the January 22 February 14 and August 30 transactions If an amount box does not require an entry leave it blank Jan 22 Cash V Common Stock Feb 14 Cash Preferred Stock Aug 30 Cash Preferred Stock V 00 00 00 00 00 00

Individual Work Graph the developmental rates of both the fetal pig and the human embryo fetus on the graph provided Average Development Rate of the Fetal Pig Time from Conception 21 days 35 days 49 days 56 days 100 days 114 days birth The data below provides a comparison of the average development rate of a human fetus Average Development Rate of a Human Embryo Fetus Fetal Length in mm avg length 61 mm 120 mm 160 mm 230 mm 280 mm 340 mm Time from Conception 70 days 98 days 124 days 68 days 10 days 2 days Pig Length in mm 11 mm 17 mm 28 mm 30 40 mm 220 mm 300 mm

Consider the concentration C in mg litre of a drug in the blood as a function of the amount of drug injected x in mg and the time since injection t in hours For 0 4 mg and t 0 hours we have C f x t 26xte 4 Calculate the following f 3 4 Give a practical interpretation of your answer Choose the best option f 3 4 is A the amount of a 4 mg dose in the blood 3 hours before injection B the change in concentration of a 4 mg dose in the blood 3 hours after injection C the concentration in the blood 4 hours after injection of a 3 mg dose D the half life of a 3 mg dose in the blood 4 hours after injection E the concentration in the blood 3 hours after injection of a 4 mg dose F the change in concentration of a 3 mg dose in the blood 4 hours after injection

Use Newton s method to find the roots of the equation log x 4 x Start with 3 Report your answers to 4 decimal places 21 x2 23

Choo Choo Paper Company makes various types of paper products One of their products is a 30 mils thick paper In order to ensure that the thickness of the paper meets the 30 mils random cuts of paper are selected and the thickness of each cut is measured A sample of 256 cuts had a mean thickness of 30 4 mils with a standard deviation of 5 mils a Compute the standard error of the mean b At the 0 05 level of significance using the critical value approach test to see if the mean thickness is significantly more than 30 mils State the null and alternative hypotheses in mils Enter for as needed Ho Ha C Find the value of the test statistic State the critical value s for this test Round your answer s to three decimal places If the test is one tailed enter NONE for the unused tail test statistic s test statistic 2 State your conclusion O Do not reject Ho There is insufficient evidence to conclude that the mean thickness is significantly more than 30 mils O Reject Ho There is insufficient evidence to conclude that the mean thickness is significantly more than 30 mils O Reject Ho There is sufficient evidence to conclude that the mean thickness is significantly more than 30 mils O Do not reject Ho There is sufficient evidence to conclude that the mean thickness is significantly more than 30 mils c Show that the p value approach results in the same conclusion as that of part b Find the p value Round your answer to four decimal places p value State your conclusion O Do not reject Ho There is insufficient evidence to conclude that the mean thickness is significantly more than 30 mils O Reject Ho There is insufficient evidence to conclude that the mean thickness is significantly more than 30 mils oro is sufficient evidence to conclude that the mean thickness is significantly more than 30 mils

You like pizza and you like cola Which of the graphs in the figure below represents your happiness h as a function of how many pizzas p and how much cola c you have if a There is such a thing as too many pizzas and too much cola figure b There is such a thing as too much cola but no such thing as too many pizzas figure 1 2 3 4

Give the first 5 values found using Newton s Method with the given function and initial value f x x 3x x 3 xo 1 1 32 03 4 35 Why does Newton s Method fail in finding the root The function has no roots The derivative becomes 0 The approximations will not converge

In this question we will use Newton s Method to approximate the x value of the intersection between f x and g x 1 F x f x closest to 2 Start your approximation with a 2 and apply two iterations of Newton s Method to the function g x Give your answers correct to at least 4 decimal places Remember that WeBWork can understand calculator ready numbers and make liberal use of copy paste 31

8 Yeast is often used in biological experiments A research technician estimates that a sample of yeast suspension contains 2 million organisms per cubic centimeter Two hours later she estimates the population density to be 6 million organisms per cubic centimeter Let t be the time elapsed since the first observation measured in hours Assume that the yeast growth follows the Law of Uninhibited Growth that is the number of organisms N at time t is given by the formula N t Noekt where N 0 No is the initial number of organisms and k 0 is a constant a Find the growth constant k Round your answer to four decimal places b Find a function that gives the number of yeast in millions per cubic centimeter N t after t hours c What is the doubling time for this strain of yeast

5 You have design that originally calls for a rectangular duct that has a 8 x 16 end and is 144 inches long You need to replace this duct with a circular duct that has the same cross sectional area SHOW YOUR WORK FOR THE FOLLOWING QUESTIONS 8 marks a What diameter circular duct should selected

4 Perform the following indicated operations SHOW YOUR WORK 8 mar a Evaluate 19 16

ahaan od bipow lehoren to 150l stoup c Simplify 3a 3b 7 3a 5b 6 5b 2041 21 sonswolla in da list

d Solve 3t 3 2t 6 2t 7 Ther

d Solve 3t 3 2t 6 2t 7 17310

Problem 1 Use the Law of Sines of the Law of Cosines when it applies Solve each triangle and assume standa labeling a b 3 4 c 2 8 A 82 b A 30 a 20 B 45 c A 30 a 5 b 5 2 d a 19 b 2 c 3 e a 40 2 A 135 B 30 f A 63 C 55 a 8 3 Problem 2 An airplane flies in the triangular course shown in the figure below C 300 mi

A contractor builds two models of homes model A and model B Model A requires 200 worker days of labor and 240 000 in capital and model B requires 500 worker days of labor and 300 000 in capital The contractor has a total of 5000 worker days and 3 600 000 in capital available per month The profit is 60 000 on model A and 75 000 on model B Building how many of each model will maximize the monthly profit What is the maximum possible profit Building how many of each model will maximize the monthly profit Profit is maximized with 15 models A homes and or with 10 model A homes and model B homes model B homes with model A homes and 8 model B homes

a Convert log 15 from base 11 to base 10 log 15 Put work reasoning here which is approximately equal to b Convert log 6 from base 9 to base e log im Put work reasoning here which is approximately equal to Convert log 10 from base 4 to base 7 log 10 Put work reasoning here which is approximately equal to

Monthly sales of a particular personal computer are expected to decline at the following rate of S t computers per month where t is time in months and S t is the number of computers sold each month 2 3 S t 35t The company plans to stop manufacturing this computer when monthly sales reach 500 computers If monthly sales now t 0 are 1 760 computers find S t How long will the company continue to manufacture this computer 5 S t 21t 1760 How long will the company continue to manufacture this computer Approximately months Dound to the poproct whole number

140 J R 17 Find mZFAB B 3x 2 3x 4 8x 4 55 13x 3 F A T E mZH D G 14x 1 89 5x 7 F 18 Find m2YDC 15x 5 D 80 6x 6 B H C

6 Complete a frequency chart for the test scores no work to show 7 For the above data set hind the mean median mode and standard deviation WILL BE NO WORK 8 For the above data set find Range Q1 and Q3 and draw a box whisker plot Range

What are some good math questions to ask

Prove the given identity tan x sec x csc x cot x Choose the correct proof below OA tan x sec xcsc x sin x 1 1 sin x OC COS X COS X sin x cos X 1 sin x sin x cos X 2 COS X cot x C tan x sec xcsc x sin x COS X sin x cos X 1 sin 2 X sin x cos x cos x 2x cot x OB O D tan x sec sin x COS X 2 1 sin X x csc x 1 COS X sin x cos X cos X sin x cos x cot x tan x sec xcsc X sin x COS X 1 sin x sin x cos x cos 2 X sin x cos x cot x

tan 0 sin 0 sec 0 cos 0 Choose the correct proof below A B OC D tan 8 sin 0 sec 0 tan 0 sin 0 sec 0 tan 0 sin 0 sec 0 tan 0 sin 0 sec 0 sin 8 cos 0 sin 0 cos e sin 0 cos 8 sin e cos e 1 cos e sin 8 sec 0 sin 0 sin 8 sin 0 1 cos e 1 Cos 0 cos e sin 0 1 cos 0 cos sin 0 1 2 sin 0 1 cos e sin 0 1 cos 0 cos e s 0 cos cos e cos 0 cos 0 cos e cos cos 0 cos 0 cos 0 cos 0 cos 0

csct 1 hoose the sequence of steps below that verifies the identity csc t 1 cott csct 1 A cott cott csct 1 B C D csc t 1 csct 1 cott cott csct 1 cott csct 1 cott csct 1 cott csct 1 csct 1 cott csct 1 csct 1 cott csct 1 csct 1 csct 1 cott csct 1 csct 1 csct 1 csct 1 csc t 1 cott csct 1 csc t 1 cott csct 1 csc t 1 cott csct 1 cot t cott csct 1 cot t cott csct 1 cot t cott csct 1 cott csct 1 cott csct 1 cott csct 1 cott cot cott csct 1 csct 1

K Prove the given identity sec x csc x sin x sec x cos x CSC X Choose the correct proof below OA sec x csc x sin x sec x 1 1 cos X sin x sin x cos x 1 sin x 2 sin x cos X COS X cos X CSC X cos X sin x 2 1 sin x OC sec xcsc x sin x sec x 1 1 sin x sin x cos x 2 cos X sin x sin x cos x cos x CSC X 1 cos X 1 cos X OB sec x csc x sin 1 1 cos x sin X sin x cos X 1 sin X sin x cos x 2 COS X COS X CSC X 1 OD sec x csc x sin 1 COS X sin x 2 1 sin X sin x cos x 2 COS X sin x cos X COS X CSC X

sin 20 Which of the following four statements establishes the identity 2 cot 0 2 cot 0 1 cot 0 2 cot 0 1 cot 0 2 2 O A sin 20 sin 0 cos 0 OB sin 20 2 cos 0 sin 0 O C sin 202 cos 0 sin 0 sec 0 2 2 cot 0 O D sin 20 sin 0 cos 0 CSC 2 0 2 cot 0 sec 0 2 2 cot 0 csc 0 2 cot 0 1 cot 0 2 cot 0 1 cot 0 2 cot 0 1 cot 0

Simplify the given expression The result will be one of sinx cos x tan x cotx sec x or csc x cos x sec x cot x cos x sec x cot x

Simplify the given expression 4 sin 3x cos 3x 4 sin 3x cos 3x

cos a sin 2 cos 1 2 2 Using the identity sin a cosa 1 make the appropriate substitution Which of the following substitutions proves the identity OA cos2 a 1 cos2 a 2 cos a 1 2 cos 1 2 cos a 1 OB cos2 1 sin a 2 cos a 1 2 cos a 1 2 cos 1 O C OD COS cos 2 a 1 sin a 2 cos 1 2 cos 1 2 cos a a 1 1 cos2 a 2 cos a 1 2 cos a 1 2 cos 1

Verity the following identity 1 cos 2x sin 2x tan x Which of the following three statements verifies the given equation 2 sin x O 1 2 sin x 1 2 sin x cos x 2 sin x cos x 1 cos 2x sin 2x 1 cos 2x sin 2x 1 cos 2x sin 2x 1 1 2 sin x 2 sin x cos Xx 1 1 2 cos x 2 sin x cos x 2 sin x 2 sin x cos x 2 cos x 2 sin x cos x tan x tan x tan x

For a car loan of 17 500 at 5 2 for 5 years what would be typed into excel to find the monthly payment

Use the formula above to determine the accumulated amount for each of the following different scenarios Round solutions to the nearest cent Assume there are 365 days in a year If 37 000 is invested for 13 years and earns 6 5 interest compounded annually the accumulated amount is A If 37 000 is invested for 13 years and earns 6 5 interest compounded semi annually the accumulated amount is A If 37 000 is invested for 13 years and earns 6 5 interest compounded quarterly the accumulated amount is A If 37 000 is invested for 13 years and earns 6 5 interest compounded monthly the accumulated amount is A If 37 000 is invested for 13 years and earns 6 5 interest compounded daily the accumulated amount is A If 537 000 is invested for 13 years and earns 6 5 interest compounded continuously the accumulated

What is 100 26 written as a a percentage b a decimal

nd the 8 a 72 degrees b 132 degrees 5 Solve for x 9x 8 x 2 5 6 10 12 78 a b Complement Complement 4 3 7 Solve for the labeled angles 50 Supplement Supplement 1 42 3 25 mZ1 m2 m23 Using the diagram name the pair of angles and if they are congruent or supplementary 21 and 28 22 and 23 23 and 26 25 and 24 25 and 27

6 i Write two consecutive odd numbers multiply them together then add 1 Repeat the process several times What do you notice about your final answers ii What happens if you use consecutive even numbers instead

Due Date 30 2023 1 The following data are given for a direct shear test conducted on dry silty sand Specimen dimensions 63 mm x 63 mm x 25 mm height Normal stress 105 kN m Shear force at failure 300 N a Determine the angle of friction b For a normal stress of 180 kN m what shear force is required to cause failure NOTE SL

Assignment 2 4 points Given is the weight matrix A of a directed graph D V E 0 1 2 X 2 0 5 0 3 0 a Sketch the digraph b Use the Floyd Warshall algorithm to determine the matrix of shortest distances between all pairs of vertices A and the corresponding matrix P to determine the paths Write down the intermediate steps as well

Use differentials to estimate the amount of paint needed to apply a coat of paint 0 04 cm thick to a hemispherical dome with diameter 43 m Round your answer to two decimal places m 3 Enter an integer or decimal number more Question Help Message instructor