Math Questions

An open top box is to be constructed from a sheet of tin that measures 30 inches by 18 inches by cutting out squares from each corner as shown an then folding up the sides Let V x denote the volume of the resulting box X Answer 3 Points X X Step 1 of 2 Write V x as a product of linear factors 1 30 inches XI XI X X w 18 inches Keypad Keyboard Shortcut

Lesson 4 Equatic Equations and Their Solutions weighs 132 5 grams An empty shipping box weighs 250 grams The box is then filled with T shirts Each T shirt this situation where W is the weight in grams of the filled box and T the number of shirts The equation W 250 132 5T represents the relationship between the quantities in in the box 1 Name two possible solutions to the equation W 250 132 5T What do the solutions mean in this situation 201 Consider the equation 2 900 250 132 507 In this situation what does the colution to this equation tell us

photograph What is special about A They are consecutive terms in the Fibonacci sequence B The value of the 13th term of the pyramidal sequence is 21 C The value of the 13th term of the Fibonacci sequence is 21 D They are consecutive terms in the pyramidal sequence O

Sugar Changed the World Part 3 Word Choice and Multimedia Quiz Active 1 2 3 113 Read the passage from Sugar Changed the World Why were the English the first to build factories to mill cloth Because of the wealth they gained the trade connections they made and the banking systems they developed in the slave and sugar trade Indeed the cheap cloth from the factories was used to clothe the slaves English factories you might say were built run and paid for by sugar TIME REMAINING 53 58 Which excerpt from the passage best states the authors claim O Why were the English the first to build factories to mill cloth O Because of the wealth they gained the trade connections they made and the banking systems they developed in the slave and sugar trade O Indeed the cheap cloth from the factories was used to clothe the slaves O English factories you might say were built run and paid for by sugar

The table shows information recorded about the location and speed of an airplane during an overseas flight a Determine the altitude in miles b Determine the ground speed in miles per hour c Determine the headwind in miles per hour 9 d Determine the temperature in degrees Fahrenheit using the formula F C 32 a The altitude is about 6 06 miles Round your answer to the nearest hundredth as needed b The ground speed is about 438 07 miles per hour Round your answer to the nearest hundredth as needed miles per hour c The headwind is about Round your answer to the nearest hundredth as needed Altitude Ground Speed Outside Air Temperature Head Wind 9760 m 705 km h 42 C 187 km h

A rectangular solid with a square base has a volume of 1 728 cubic inches Let w represent the length of the sides of the square base and let h represent the height of the solic a Determine the dimensions in inches that yield the minimum surface area W h in in in b Find the minimum surface area in in

Find the image of 2 1 obtained by translating 3 units down followed by a reflection over the y axis 2 1 3 2 1 4 3 2 1 1 1 Enter the number that belongs in the green box Enter

Latesha wants to show that a b a b a ab b is a polynomial identity What should Latesha do O Multiply the two factors on the right side of the equation and show the result is equal to the left side after combining like terms O Substitute values for a and for b and show that both sides of the equation are equivalent O Factor a ab b as a b O Multiply both sides of the equation by a b O There is no correct answer given

A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius When the cookie dough is placed into the oven the height of the doug the radius increases but it retains its cylindrical shape At time t the height of the dough is 10 mm the radius of the dough is 16 mm and the radius of the dough is increasing a per minute Part A At time t at what rate is the area of the circular surface of the cookie dough increasing with respect to time 5 points Part B At time t at what rate is the height of the dough decreasing with respect to time 5 points

An education researcher claims that at most 4 of working college students are employed as teachers or teaching assistants In a random sample of 500 working college students 6 are employed as teachers or teaching assistants At a 0 10 is there enough evidence to reject the researcher s claim Complete parts a through e below a Identify the claim and state Ho and Ha Identify the claim in this scenario Select the correct choice below and fill in the answer box to complete your choice Type an integer or a decimal Do not round OA of working college students are employed as teachers or teaching assistants of working college students are employed as teachers or teaching assistants OB More than OC At most of working college students are employed as teachers or teaching assistants OD The percentage of working college students who are employed as teachers or teaching assistants is not stion Help

Find the perimeter and area of the polygon shown below 1 8 ft 15 ft O 18 ft 17 fl P 58 feet A 338 square feet P 76 feet A 338 square feet O O P 76 feet A 330 square feet P 91 feet A 390 square feet

4 A bottling company uses a filling machine to fill plastic bottles with a popular cola The bottles are supposed to contain 300 milliliters ml In fact the contents vary according to some normal distribution with mean u 298 ml and standard deviation o 3ml a What is the probability that the mean content of the bottles in a 36 pack is greater than 297 5ml b What is the probability that the mean content of the bottles in a 36 pack is between 297 5 ml and 298 5 ml

For a candy making competition Tanya made 3 kinds of candies She made 3 times as many orange candies as pineapple candies She made 30 more lemon candies than pineapple candies The ratio of orange candies to lemon candies was 2 to Which equation could be used to find the number of pineapple candies Tanya made for the competition O 3n 2n 30 3n n 30 2 3n 1 n 30 2 77 30 2

cost Susana has organized information about banquet costs on a graph for her school Use her graph to answer the questions 5500 5000 4500 4008 3500 3000 2500 2000 1500 1000 500 25 50 75 100 125 150 175 number of people served Bella s Luci s point where both companies charge the same amount Enter 4 digit dollar amounts without a comma Enter the correct answer 00 DONE

Suppose a man took out a 30 year loan with an annual rate of 9 to put an addition on his house His banker encouraged him to put other expenses into the loan if he wished so he increased the loan in order to purchase furniture a new car and a computer Suppose the computer cost 1 100 Assume that the loan is an add on loan to calculate parts a and b a What was the amount of interest that he paid on the computer part of his loan b What was the total cost of his computer a The total interest is Simplify your answer

Learning Target 14 I can apply properties and theorems involving angles inscribec Determine the measure of the identified arc or inscribed angle Type in the va number only nothing else Example 71 X 58 W Y

5 Mylyssa can deposit 2 400 into a money market account earning 6 4 simple interest annually or Mylyssa can deposit 2 400 into a savings account earning 5 25 compound interest annually Which of the following is NOT true A The initial deposit after five years will total 3 168 00 in the money market account or 3 099 71 in the savings account B The initial deposit after ten years will total 3 936 00 in the money market account or 4 003 43 in the savings account C The initial deposit after fifteen years will total 5 170 62 in the money market account or 4 704 00 in the savings account D The initial deposit after twenty years will total 5 472 00 in the money market account or 6 678 11 in the savings account

10 The function f t 1200 1 75 60t represents the change in a quantity over t minutes What does the constant 1 75 reveal about the rate of change of the quantity The function is exponentially are a rate of every

A spherical float has a volume of air within it of radius r and the outer radius of the float is r2 Express in factored form the difference in areas of the outer surface and the inner surface The difference in area is Type your answer in factored form

Consider the graph of the function f x x 6x 8x x 2x 8 Which is a removable discontinuity for the graph Select all that apply Select all that apply x 4 x 2 X 0 X 2 x 4

A company used 8 g of pure gold to coat a pair of shoes How many ounces of gold were used The company used about oz of pure gold Round to the nearest hundredth as needed 1 pound 0 45 kilogram 1 ounce 28 grams 1 gallon 3 8 liters 1 quart 0 95 liter

Step 1 To determine the intervals on which the function is increasing or decreasing first find the critical numbers of the given function Determine g x g x x 2x 360 g x 2x 2 Step 2 To determine the critical numbers of g x set g x equal to zero and solve for x g x 0 2 x 11 2x 2 0 g 0 g 0 20 g 0 0 Step 3 Since there is no point for which g x does not exist x 1 is the only critical number Thus the number line can be divided into two intervals 1 and 1 Determine the sign of g x at one test value in each of the two intervals X First consider the interval 1 Let x 0 g x 2 x 1 1 2x2 0 1 1 1 Step 4 Since g 0 0 for which interval is the function decreasing Enter your answer using interval notation 0 1 00 1 Step 5 Now consider the interval 1 Let x 2 g x 2 x 1 g 2 2 g 2 2 1

1 A jet ski is travelling 75 degrees North of East at a constant speed of 43 miles per hour The water is moving at a rate of 12 miles per hour due East Represent the movement of the jet ski considering the wind How far has the jet ski moved horizontally and vertically after 12 minutes

t a large high school outside of Chicago there are two students running for class president Ronald and Bo 60 of the students in the school support Bo and the remaining 40 support Ronald If you randomly sampled 12 students what is the probability that more than half of your sample is comprised of Ronald supporters Assume independence between students Note Round to the nearest thousandth

can be used to find the difference of the polynomials 10m 6 7m 4 O 10m 7m 6 4 O 10m 7m 6 4 10m 7m 6 4 O 10m 7m 6 4 O

If p represents the statement a cube has six sides then which of the following statements is represented by p Choose each correct answer Select all that apply A cube has less than six sides A cube does not have six sides A cube has four sides A cube has more than six sides

A zoo offers unlimited drink refills to visitors who purchase its souvenir cup The cup and the first fill cost 10 and refills after that are 2 each The expression 10 2r represents the total cost of the cup and r refills 1 A family visited the zoo several times over a summer That summer they paid 30 for one cup and multiple refills How many refills did they buy 2 A visitor has 18 to spend on drinks at the zoo today and buys a souvenir cup How many refills can they afford during the visit 3 Another visitor spent 10 on this deal Did they buy any refills Explain how you know

To test an individual s use of a certain mineral a researcher injects a small amount of a radioactive form of that mineral into the person s bloodstream The mineral remaining in the bloodstream is measured each day for several days Suppose the amount of the mineral remaining in the bloodstream in milligrams per cubic centimeter t days after the initial injection is approximated by C t 2t 3 1 2 Find the rate of change of the mineral level with respect to time for 7 5 days The rate of change of the mineral level with respect to time for 7 5 days is approximately Round to two decimal places as needed milligrams per cubic centimeter per day

Examine the properties listed below Determine which of the following properties are true for all parallelograms Select three that apply A four right angles B C D E diagonals bisect each other opposite sides are congruent opposite angles are congruent diagonals intersect at right angles

A few years ago Sarah acquired a parcel of land valued at 16 500 Today that same parcel of land has a value of 18 975 Find the percent increase in the property s value Round your answer to the nearest hundredth if necessary

The base of a triangle exceeds the height by 4 feet If the area is 142 5 square feet find the length of the base and the height of the triangle Answer How to enter your answer opens in new window Height k

Dividing a Line Segment Mastery Test Drag the tiles to the correct boxes to complete the pairs Not all tiles will be used Directed line segments AC DF and PQ are shown on the graphs Match each graph with the ratio in which the directed line segment is partitioned Next 3 2 3 1 1 1 4 2 1 4 B 4 2 2 D 4 12 y 2 4 4 2 S 4 1 2 4 4 x Submit Test Tools Info

There is a rainbow Choose the correct answer below O A There are clouds OB There is not a rainbow OC There are never rainbows O D Sometimes there are not rainbows

A bag contains 10 marbles Four of them are red three blue two white and one yellow A marble is drawn at random What is the probability that it is not red Be sure to reduce

Given the equation 2 x 5 2 solve for x and identify if it is an extraneous solution 2 points O a Ob OC x 6 solution is not extraneous x 6 solution is extraneous x 11 solution is not extraneous x 11 solution is extraneous

All changes sa 5 Which of the following statements best summarizes the SSS Similarity Postulate O For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding sides that are proportional For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding angles that are congruent For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding sides that are congruent For two triangles to be proven similar using the SSS Similarity Postulate the triangles must have three sets of corresponding angles that are proportional

Which statistic mean median or mode is most appropriate in each of the following situation Tables in the dining hall are numbered 1 12 for students who eat there The principal calls out a number for the table that will go through the buffet line first The other tables follow in order of the table numbers One student is sure the principal calls certain tables more often She keeps track of which numbers are called over a 21 day period O Mean Median O Mode

employee relationships Patty is president and has three vice presidents Shelly Laura and Kerry Shelly has no managers Laura has no managers Kerry has three managers Harpo Bertie and Donna Choose the correct tree below OA K H B S B Ke S HBD O C HBD OD HBD S

Select the correct answer When two pumps are used they can fill a tank in 60 minutes When the first pump is used alone the tank will be filled in 150 minutes When x represents the time it takes the second pump to fill the tank when used alone the situation is represented by this equation 10 How long would it take the second pump working alone to fill the tank OA O B OC O D 75 minutes 90 minutes 100 minutes 120 minutes

Answer the question below Type your response in the space provided A cube with a volume of 64 cubic meters is scaled by a factor of 5 What is the volume of the modified cube in cubic meters Note do not include the units in your answer

How does characterization support satire Select three options It pokes fun at characters by placing them in extreme situations O It makes fun of human weaknesses through humorous characters It exposes human flaws by exaggerating characters weaknesses It reveals a gap between belief and reality by making characters unaware of their weaknesses It ridicules socially acceptable behavior by showing how characters good intentions backfire

A research firm claims that the distribution of the days of the week that people are most likely to order food for delivery is different from the distribution shown in the pie chart You randomly select 487 people and record which day of the week each is most likely to order food for delivery The table to the right shows the results At a 0 05 test the research firm s claim Click the icon for the pie chart of the distribution Ho The distribution of the days people order food for delivery is as shown in the pie chart H The distribution of the days people order food for delivery is as shown in the pie chart Which hypothesis is the claim Ho OH Calculate the test statistic 2 X8 412 Round to three decimal places as needed Determine the P value P 0 209 Round to three decimal places as needed Decide whether to reject or fail to reject the null hypothesis Then interpret the decision in the context of the original claim Fail to roiect He At the 5 significance level there Sunday Monday Tuesday Wednesday Thursday Friday Saturday Day enough evidence to conclude that the distribution of the days people order food for delivery differs from the expected distribution Frequency f 46 11 22 47 43 166 152

How many marbles each with a volume of 36 cubic centimeters are needed to fill in a cylindrical vase with a radius of 6 centimeters and a height of 28 centimeters O 6 marbles 09 marbles O 14 marbles O 28 marbles

Here is a right cylinder What is the one shape of cross section we could create by slicing the cylinder perpendicular to its base Choose 1 answer Rectangle Ellipse Shape with two edges one straight and one curved

points Identify the recursive formula for the sequence 900 850 800 750 f n f 1 900 f n f n f n f n f n 1 50 if n 1 f 1 900 f n f n 1 50 if n 1 f 1 900 f n f n 1 50 if n 1 S f f 1 850 f n f n 1 50 if n 1

What is the 5th term in the expansion of Drag a value into each box to correctly express the term Apply the convention of a leading numerical coefficient and variables listed in alphabetical order 64 4x y 1 y 315 7 8064 1008 X 5 11 28 X x15 x 18

Situation A 15 gram sample of a substance that s a by product of fireworks has a k value of 0 1401 N Noe kt No initial mass at time t 0 N mass at time t k a positive constant that depends on the substance itself and on the units used to measure time t time in days Find the substance s half life in days Round your answer to the nearest tenth Enter the correct answer DONE

5 A band is trying to decide how to price tickets for its next concert Their market research suggests that if they price the tickets at 20 per ticket then they will sell 1000 tickets For each 2 increase in ticket price the number of tickets they will sell decreases by 5 Write a formula for N p the number of tickets they will sell if they price the tickets at p dollars per ticket

James is creating a design on his paper using a reflection tool called a MIRA He reflects the design over a line m and then reflects that image over line n Lines m and n are perpendicular Describe a single transformation that would also map the starting image to the very final image a translation along the line m b reflection across the line n c rotation of 90 about the Point A d rotation of 180 about the Point A n M pa Finish A Sta

In camellia plants flower color is controlled by a single gene with codominant alleles A camellia plants with red flowers RR is crossed with a camellia plant with white flowers WW What are the expected phenotypes of the offspring of this cross OA O B OC O D All will have red flowers Half will have red flowers and half will have white flowers All will have pink flowers All will have both red and white flowers