Basic Math Questions and Answers

A food freezer is to produce a 4 000 kW cooling effect and its COP is 1 3 How many kW of power will this refrigerator require for operation The amount of power required is kW

According to the Mini Lesson which of the following are steps that should be taking when Writing Exponential Functions Check all that apply Identify the initial value This is the a part of the exponential equation y ab Identify the common ratio b value To do this make a fraction of two consecutive outputs as long as the inputs are separated by exactly 1 Enter the data into your calculator using Stat Edit Then run an Exponential Regression to determine the base b and initial value a Plug in the values of a and b into y ab to write the exponential equation Replace y with appropriate notation as needed to identify a requested exponential FUNCTION Determine the Average Rate of Change by calculating 92 91 X2 X1 rate to determine the growth or decay

0 R G B K If all the graphs above have equations with form y ab Which graph has the largest value for b Select an answer Which graph has the smallest value for b Select an answer

0 10 pts 399 Details Find an equation for the graph sketched below 5 4 3 2 1 f x 8 7 6 5 4 3 2 7 2 3 4 5 6 7 8 1 2 3 4 5

0 10 pts 399 Details B R Match each equation with a graph above I y 27 Y 2 x 2x G y 2x y 2 x a orange 0 b green G c blue B d red R

129 What is the value of y shown in the diagram below M A 8 B 9 C 12 D 15 E none of the above 6 E 3 A X y N

13 oints a Sales and production data for these first two years follow Units Units produced Units sold Year 1 51 000 30 000 Year 2 51 000 72 000 Direct materials Direct labor Variable overhead Fixed overhead 459 000 51 000 units Total product cost per unit b Variable costs per unit and fixed costs per year are unchanged during these years The company s 49 per unit product cost using absorption costing consists of the following 14 21 5 9 49 c Selling and administrative expenses consist of the following Selling and Administrative Expenses Variable selling and administrative 1 per unit sold Fixed selling and administrative Total Required Prepare income statements for each of these two years under variable costing Note Loss amounts should be entered with a minus sign indicate completion Year 1 30 000 245 000 275 000 Return to question Year 2 72 000 245 000 317 000

this question below Every cereal box has a gift inside but you cannot tell from the outside what the gift is The store manager assures you that 17 of the 58 boxes on the shelf have the secret decoder ring The other 41 boxes on the shelf have a different gift inside If you randomly select two boxes of cereal from the shelf to purchase what is the probability that BOTH of them have the secret decoder ring Give answer as a decimal correct to at least three decimal places probability 1 375 X

0 1 pt 399 Details Suppose that 39 of students in a college have a smart phone If you select three students at random what is the probability that all three have a smart phone Write the probability as a decimal rounded to three decimal places NOTE

Extra Credit 8 How high can you go using i s 2 4 7 1 7 4 2 3 2 1 214 2 2 3 7 4 3 D5 7 4 2 5 6 4 2 6 7 7 8 4x2 8 9 7 2 9 10 7 2 4 14 4 10 11 7 4 11 12 7 2 14 14 2 12 13 7 4 2 11 2 13 14 7 4 2 28 2 14 15 2x4 7 8 7 15 16 4 161 17 24 7 17 18 72 4 18 19 41 7 2 24 7 17 2 19 201 21 22 41 2 24 2 22 23 27 4 23 24 7x4 2 28 2 24 25 72 4 49 24 25 26 41 2 24 2 26 27 27 28 7x4 28 32 27 4 128 4 32 72 49 74 2401 4 16 27 128 47 16384 214 4 4 2 47 74 42 742 24 42 2772 a 41 7 2 24 7 31 2 29 12 30 7 5040 41 24 21 2 16384 128 2401 49 149 7 80 4

0 1 pt 3 Details A jury pool consists of 25 people 14 men and 11

0 1 pt 3 Details You have a 20 sided dice Your friend Ayden has three favorite numbers 8 4 and 12 What is the probability that you roll one of his favorite numbers Enter your answer as a fraction

0 1 pt 3 Details An actuary studied the likelihood that different types of drivers have at least one collision during any one year period The results of the study appear below Type Teen Young adult Middle aged adult Senior Percentage 13 19 56 12 Collision 16 7 6 8 Find the probability that a driver with at least one collision in the past year is a Middle aged adult driver

POPULATION PYRAMID Age Groups 95 9 185 905 180 847 126 29 70 741 23 34 25 29 20 24 15 19 10 14 0 4 12 84 4 Percent of Total Population Female 0 12 Percent of Total Population The population pyramid shown represents a location that has been affected by human migration a Explain why the population shown in the pyramid might have this particular age structure Positive to attract People from other areas b Describe ONE cultural pull factor that would motivate a female migrant from a rural area to move to an urban area in a very distant location c Explain ONE reason why the female population aged 15 to 29 might be larger than the male population aged 15 to 29 d Explain ONE limitation of the population pyramid in illustrating the spatial pattern of migration in this location

Consider this equation 2 7 3 x 1 Approximate the solution to the equation using three iterations of successive approximation Use the graph as a starting point y 4 8 6 4 SOA I OB I 2 27 8 6 2 19 4 6 6 8 X

question below If you randomly select a letter from the phrase Robert likes to eat tacos at Chipotle what is the probability that you select a consonant Your answer must be in the form of a reduced fraction Enter a reduced fraction or integer no mixed numbers more Question Help Message instructor n Check Answer asic ABC 7 8 9

A bag contains 2 gold marbles 8 silver marbles and 21 black marbles Someone offers to play this game You randomly select one marble from the bag If it is gold you win 3 If it is silver you win 2 If it is black you lose 1 What is your expected value if you play this game

3 Select the correct answer from the drop down menu Consider the equation and the graph 3 1 6 4 2 8 6 4 y 2 2 6 8 0 2 74 F6 8 X The approximate solution to the given equation after three iterations of successive approximations is when

Giving a test to a group of students the grades and gender are summarized below A B Male 5 16 12 18 19 Total 12 34 31 C Total 33 44 77 Female 7 If one student is chosen at random Find the probability that the student was female OR got an C

If you pull a card from a well shuffled deck what is the probability that you get a heart or a black card Enter your answer as a fraction

Suppose you reach into your mailbox that contains 5 pieces of junk mail 4 letters and 1 magazine Assuming you can t feel the difference between the types of mail what is the probability that you select either a letter or the magazine Enter your answer as a fraction

Calculate 4 4i Give your answer in a bi form

Calculate 1 4i 7 Give your answer in a bi form

Calculate 6 9i Give your answer in a bi form Give the solution with smallest positive angle Round both a and b to 2 decimal places

Write a polar equation for the graph below Enter theta for 0 if needed 6 T 0 16 3 324 654 3 2 1 123 2 3 4 9 5 1 2 3 4 5 6

K Use a standard normal distribution table to find the percent of the total area under the standard normal curve between the following z scores z 1 6 and z 0 65 Click the icon to view the standard normal distribution table The percent of the total area between z 1 6 and z 0 65 is Round to the nearest integer

D of 3 pped Book Hint Print lerences The following information applies to the questions displayed below Hudson Company reports the following contribution margin income statement HUDSON COMPANY Contribution Margin Income Statement For Year Ended December 31 Sales 10 200 units at 225 each Variable costs 10 200 units at 180 each Contribution margin Fixed costs Income If the company raises its selling price to 240 per unit 1 Compute Hudson Company s contribution margin per unit 2 Compute Hudson Company s contribution margin ratio 3 Compute Hudson Company s break even point in units 4 Compute Hudson Company s break even point in sales dollars 1 Contribution margin 2 Contribution margin ratio 3 Break even in units 4 Break even sales dollars 2 295 000 1 836 000 459 000 360 000 99 000 per unit units

7 Cost Volume Profit Analysis Assig i Check my work mode This shows what is correct or incorrect for the work you have completed so far It does not indicate com Resu Finanu Finan Refur Home B BMT con external browser 0 launchUrl https 253A 252F 252Flms mheducation G Google G Google G Google MB Body Con Dre Learning to Read f W Wikipedia Yah Sales Fixed costs Income 1 Compute the amount of expected total dollar sales 2 Compute the amount of expected total variable costs Saved Bloom Company predicts it will incur fixed costs of 259 000 and earn income of 493 100 in the next period Its expected contribution margin ratio is 69 Complete this question by entering your answers in the tabs below Required 1 Required 2 Compute the amount of expected total variable 493 100 Answer is complete but not entirely correct 5 Help Save a Return to

S Book Print erences A manufacturer reports direct materials of 5 per unit direct labor of 2 per unit and variable overhead of 3 per unit Fixed overhead is 120 000 per year and the company estimates sales of 12 000 units at a sales price of 25 per unit for the year The company has no beginning finished goods inventory 1 If the company uses absorption costing compute gross profit assuming a 12 000 units are produced and 12 000 units are sold and b 15 000 units are produced and 12 000 units are sold 2 If the company uses variable costing how much would contribution margin differ if the company produced 15 000 units instead of producing 12 000 Assume the company sells 12 000 units Hint Calculations are not required Complete this question by entering your answers in the tabs below Required 1 Required 2 If the company uses absorption costing compute gross profit assuming a 12 000 units are produced and 12 000 units are sold and b 15 000 units are produced and 12 000 units are sold Gross profit a 12 000 Units Produced and 12 000 Units Sold b 15 000 Units Produced and 12 000 Units Sold

Prove the given identity tan x cot x sec x CSC X Choose the correct proof below OA tan x cot x sin x cos X cOS X sin x sin 2 x cos x 2 sin x cos X 1 sin x cos X sec x cSC X OC tan x cot x sin x COS X cos X sin x sin x cos x sin x cos x 2 sin x cos X 1 sec x csSC X OB tan x cot x sin X COS X sin x cos x 2 Sin x COS X sin x cos x 1 sec x csc X D tan x cot x sin x COS X 2 sin x cos cos x 2 sin xcos x 1 sin x cos X sec X CSC X

Bob is cleaning his gutters and leans a ladder against the house If the ladder forms a 33 angle with the side of the house what is the measure of the angle between the ladder and the ground

The graph of the hyperbola is given a Use the distance formula to find the distances d d d3 and d b Find the difference of the distances d d c Find the difference of the distances d d How do the results from Parts b and c compare How do the results of Part b and Part c compare to the length of the transverse axis Express numbers as integers or simplified fractions 20 16 12 B ol 4 17 201 20 16 0 10 d Vd 7 da 4 d 0 10 10 12 16 20 Save For Later

2 Part 0 3 3 A boat leaves port and follows a course of N72 E at 9 knots for 3 hr and 20 min Then the boat changes to a new course of S20 E at 12 knots for Part 1 of 3 a How far is the boat from port Round the answer to one decimal place if necessary The boat is approximately 6 nmi from port X

1 point Question Attempt 1 of Unlimited The graph of the parabola is given a Determine the distances d d dz and d b Compare d and d c Compare d3 and d 5 x 4 1 9 da 2 d 4 0 d3 4 8 9 12 12

The equation of a parabola is given a Write the equation of the parabola in standard form b Identify the vertex the focus and the focal diameter Express numbers as integers or fractions in simplest form 4x 12x 32y 265 0 Part 0 4 Part 1 of 4 The equation of the parabola in standard form is

A college is building a new basketball court that is 100 feet long and 40 feet wide but the wood for the court comes only in 8 meter planks that are 6 centimeters wide How many planks are needed to surface the court The court will require planks X 5

5 Select the correct answer from each drop down menu Elwood invested 5 000 in a money market account and has been tracking its progress He found that after 3 years the account held 7 100 and after 8 years the account held 10 350 Use this information to complete the statements Over the first 3 years the value of the account increased at value of the account increased at an average rate of approximately Reset annually Next over the last 5 years Over the entire 8 years the

Q2 In Q 5 express the following elements as polynomials in 5 a b 2 5 3 5 5 20

Find the measures of 22 and 11 m 2 m 11 140 1 2 10 9 80 8 11 12 d

and the inverse of the function and state its domain and range 3 4 1 5 0 2 2 6 5 7 3 4 1 5 0 2 2 6 5 7 D 3 1 0 2 5 R 2 4 5 6 7 3 4 1 5 0 2 2 6 5 7 D 3 1 0 2 5 R 7 6 5 4 2 3 4 1 5 0 2 2 6 5 7 D 3 1 0 2 5 R 7 6 5 4 27 O 4 3 5 1 2 0 6 2 7 5 D 2 4 5 6 7 R 3 1 0 2 5

ve the problem The function f x 800 0 5 100 models the amount in pounds of a particular radioactive material stored in a concrete vault where x is the number of years since the material was put into the vault Find the amount of radioactive materialin vault after 190 years Round to the

Solve the equation 2x 3 64 5 35 3 O 6 3 3

4 A round steel bin is filled with wheat at 17 1 m c w b The bin has a diameter of 7 31 m 24 ft and is filled to a depth of 3 0 m 10 ft a Calculate the lateral pressures at the base of the bin wall when the wheat is at 17 1 and 11 0 moisture Estimate density using the appropriate formula chap 2 Assume the depth will remain the same after drying Determine the percent increase in pressure for the 11 0 m c wheat compared to the wheat that is at 17 1 m c b The bin is unloaded through a square orifice 20 3 cm x 20 3 cm 8 in x 8 in located on the side of the bottom of the bin i e it will be a vertical orifice Assume the flow rate will be constant during unloading Estimate the rate at which grain flows from the bin and the total time required to unload the bin c The wheat is conveyed away from the orifice on a flat no slope on the sides horizontal belt conveyor moving at 15 2 m s 50 ft s Using the angle of repose neglect the effects of inertia by assuming the wheat is piled on a non moving belt estimate the minimum width required for the belt I Hint for c The belt should be capable of carrying of grain from the unloading rate calculated by question b The shape of the particles on the belt is triangular prism h e The volumetric flow rate of particles on the belt can be calculated from the cross sectional area given by the above figure and belt moving speed u V u A

9 Solve a right triangle 10 pts Solve the following triangle that is find B b and c Don t forget to show your work B a 19

10 pts Solve an exponential equation Don t forget to show your work Solve for x Round your answer to four decimal places if needed 43x 2 34x 3

7 10 pts Solve a logarithmic equation Don t forget to show your work Solve for x Round your answer to four decimal places if needed log4 x log4 x 6 2

5 Consider the angle 120 a 5 pts Sketch the angle Don t forget to show the rotation b 2 pts Find the reference angle for 0

6 Expanding and condensing logarithmic expressions Don t forget to show your work a 5 pts Use the properties of logarithms to expand In a sum difference and or constant multiple of logarithms as b 5 pts Condense 9 ln x 6 ln y 7 4ln z to the logarithm of a single quantity nx 6ln y 7 4khz to

1 At the beginning of an experiment a scientist has 600 grams of radioactive Guyradium Gy After 100 minutes the sample has decayed to 300 grams a 5 pts Assuming exponential decay find a formula for G t the amount of Guyradium remaining at time t b 5 pts How many grams of Guyradium will remain after 150 minutes Round your answer to four decimal places

A certain paper suggested that a normal distribution with mean 3 500 grams and standard deviation 540 grams is a reasonable model for birth weights of babies born in Canada Round your answers to four decimal places a One common medical definition of a large baby is any baby that weighs more than 4 000 grams at birth What is the probability that a randomly selected Canadian baby is a large baby USE SALT b What is the probability that a randomly selected Canadian baby weighs either less than 2 000 grams or more than 4 000 grams at birth c What birth weights describe the 15 of Canadian babies with the greatest birth weights Any baby with a weight of grams or more is in the greatest 15 of birth weights Need Help Read It Submit Answer Rointsl DETAILS Watch It PECKSTAT3 6 5 047 MI S MY NOTES PRACTICE ANOTHER