Math Questions

6 The radius is 9 m Length of SO is 100 T 7 Length of TV is 12 in The diameter is 9 Find all the missing angles Review 110 11 80 111 h 8 Length of AR is 40 cm CARE The radius is 8 146 D 70

From his eye which stands 1 62 meters above the ground Ar angle of elevation to the top of a prominent skyscraper to be 44 If he is standing at a horizontal distance of 164 meters from the base of the skyscraper what is the height of the skyscraper Round your answer to the nearest tenth of a meter if necessary

Spinner Results Color Frequency Red 14 Blue 19 4 11 2 Green Yellow Purple the spinner is spun 900 more times about how many times would you expect to and on blue Round your answer to the nearest whole number

3 A group of students were asked if they play a sport or play an instrument The results are shown in the Venn diagram below If one of these students is chosen at random find each probability a P instrument b P does not play a sport Instrument Sport c P both instrument and a sport d P sport but not an instrument

Select the correct answer from each drop down menu Each student in the class reported how long they slept last night The results are represented by the box plot below Hours Students Slept Last Night Complete the sentences about the box plot 5 7 8 9 10 Hours of Sleep The box plot shows how many A vertical line is drawn inside the box at the value of set Based on the box plot it is known that 6 V of sleep each student got last night This represents the 11 of the data

Challenge 5 The area of the circle is 40 square units Enter an angle WITHOUT the degree symbol to create a sector with an area of 17 square units Press Submit to check your work Submit

N Select the correct answer from the drop down menu Consider the equation and the graph 2 3 1 I 2 6 8 2 2 6 8 O 6 The approximate solution to the given equation after three iterations of successive approximations is when

The wooded area makes a right triangle in relation to the pond One side of the woods is 19 feet long and the other side is 7 feet long Find the distance acro the pond Answer as a decimal rounded to the nearest hundredth 19 Et 78

A die is rolled and a spinner like the one at the right is spun Find each probability A 7 P 4 and A C 8 P an even number and C worl2 slun steniboos brit nevig smugit and to sgomi eny ov y x a X 9 P 2 or 5 and B or D 10 P a number less than 5 and B C or D x x

c Using the model in part a predict the population in 2029 Round your answer to the nearest million people million people Need Help 26 0 2 Points Read It DETAILS Watch It X PREVIOUS ANSWERS WANEFMAC7 2 2 080 MY NOTES ASK YOUR TEACHER A bacteria culture starts with 800 bacteria Two hours later there are 1 280 bacteria Find an exponential model for the size of the culture as a function of time t in hours f t 800 240t PRACTICE ANOTHE

Consider function fand function g f 1 In 1 g 1 5 In I How does the graph of function g compare with the graph of function f O Unlike the graph of function f the graph of function g has a y intercept Unlike the graph of function f the graph of function g has a domain of x 5 The graph of function g is the graph of function fvertically stretched by a factor of 5 The graphs of both functions have a vertical asymptote of x 0 Unlike the graph of function f the graph of function g decreases as x increases

5 14 points A calculator may be used The rate of change of the population of moose M t in the Boundary Waters Canoe Area Wilderness is directly proportional to 1200 M t for all t 0 t is the time in years and kis a constant of proportionality When t 0 the population is 300 a Write a differential equation that models this situation b Determine M t in terms of t and k c If M 4 600 find the value of k d Calculate M 8 and explain its meaning in context of the situation

7 A brand of jeans comes in nine different washes five different fit styles and three different height options If two of the wash options are out of stock how many ways can someone order a single pair of jeans A 95 B 105 C 120

A Naval Carrier dropped anchor off the coast The massive anchor drops at 3 5 m s and will be 52 5 meters under the surface of the water after 20 seconds How high above the surface of the water does the anchor begin to drop Round to the nearest meter

Dani had 200 in her savings account When she turned 18 the bank began charging her a 5 00 month fee Write a function in terms of a for the balance of her savings account if she doesn t notice the monthly fee Complete the following Use standard slope intercept form B o

A student was asked to determine the y intercept for the logarithmic function f x log3 x 2 1 Which of the following expressions would result in the correct y intercept log2 1 log3 log3 log2 1 3 1 2 1 2

11 You are rowing a boat on a lake at an angle of 35 from the perpendicular to the shore line headed in a straight line toward a village 3 miles down shore How far will you have to row a 2 3 miles b 4 9 miles c 5 7 miles d 7 0 miles 2014 2015 mo 3 miles 35

16 Norman s checking account reconciliation information is as follows Bank balance 304 79 Checkbook balance 206 19 Unreturned checks 110 17 Unprocessed deposits 12 58 When the account is reconciled the checkbook balance is a 206 19 b 207 20 c 303 78 d 304 79 S

18 There are 1 5 mg of iron in 8 ounces of apple juice If 18 mg are recommended for the RDA for iron the number of ounces that contain the RDA is a 27 ounces b 64 ounces c 96 ounces d 144 ounces

iversal set Com acreage A Yellow Corn B yellow corn the yellow corn is the variety Giant Kernel C White Corn D white corn the white corn is the variety Butter and Sugar Choose the correct diagram COD OO O

19 If the assessment rate is 46 and the tax rate is 37 84 per 1 000 of assessed value the property tax on a house with a market value of 170 000 is a 2 955 96 b 4 492 60 c 9 764 50 d 78 200 00

A baseball is hit towards the outfield following the equations a t 51 5t and y t 16t 105t 4 where x anc y are measured in feet and t is time measured in seconds A How long does it take for the ball to hit the ground Round your answer to the nearest second B How far has the ball traveled horizontally when it hits the ground Round your answer to the nearest foot C Eliminate the parameter by writing the parametric equations as a single rectangular equation D 330 feet away the outfield fence stands 20 feet high Is the ball going to clear the fence Justify your answer

be uneven because questions can be worth more or less including zero depending on your answer Match each number on the left with the correct description of the number on the right Answer options on the right may be used more than once This is an integer This is a rational number but not an integer 10 5 5 6 31 12 T Clear This is an irrational number Question ID 55855 Click and hold an item in one column then drag it to the matching item in the other column Be sure your cursor is over the target before releasing The target will highlight or the cursor will change Need help Watch this video

Ms Bell s mathematics class consists of 13 sophomores 6 juniors and 11 seniors How many different ways can Ms Bell create a 5 member committee of seniors if each senior has an equal chance of being selected

Which of the following integrals represents the area enclosed by the smaller loop of the graph of r 1 2 sin B E 11 6 7 6 11 6 7 6 6 6 7 6 1 2 sin 0 de 1 2 sin 8 de 1 2 sin 0 de 1 2 sin 0 de 6 1 2 7T 6 1 2 sin e de

cylindrical vase has a circumference of about 62 8 centimeters and a height of 33 centimeters To the nearest cubic centimeter how m water will the vase hold OA OB O c OP 3 300 m3 5 183 m3 10 367 m 10 368 m3

In Exercises 1 4 find the indicated measure A 1 area of a circle with a radius of 6 75 inches 2 area of a circle with a diameter of mile 10 3 radius of a circle with an area of 63 7 square kilometers 4 diameter of a circle with an area of 1040 62 square yards

Sonequa has two containers one in the shape of a cylinder and the other in the shape of a cone The two containers have equal radii and equal heights She investigated the relationship between the volumes of the cone and the cylinder by transferring water between the two containers Which of the following claims is most likely to be supported using the results of Sonequa s investigation A B C D The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights because one full cylinder of water completely and exactly filled the cone two times The volume of a cylinder is three times the volume of a cone when the two containers have equal radii and equal heights because one full cylinder of water completely and exactly filled the cone three times The volume of a cylinder is two times the volume of a cone when the two containers have equal radii and equal heights because two full cylinders of water completely and exactly filled the cone one time The volume of a cylinder is three times the volume of a cone when the two containers have equal radii and equal heights because three full cylinders of water completely and exactly filled the cone one time

Ethan bought 3 pints of raspberries for 5 per pint and x pints of blueberries for 3 per pint The average 15 3x dollars per pint If the equation y 3 x 15 3x is graphed in the 3 x cost of all the berries he bought was xy plane what quantity will be represented by the y intercept of the graph O The total cost in dollars of all the raspberries Ethan bought O The average cost in dollars per pint of all the raspberries Ethan bought O The total cost in dollars of all the blueberries Ethan bought O The average cost in dollars per pint of all the blueberries Ethan bought

The table below gives the dimensions of a sculpture and a scale model of the sculpture Find the scale factor of the model to the real sculpture Write your answer as a fraction in simplest form Length inches Width inches Height inches Scale factor 0 Sculpture 12 00 8 16 Model 9 6 12

Question 2 W B Q 0 1 25b D B 0 b C 0 0 A a 0 A plan for a triangular garden was plotted on coordinate axes with vertices A a 0 B 0 b and C 0 0 as shown The plan was then modified to enlarge the garden to include the shaded region as represented in the diagram Which of the following best describes the relationship between the area of the enlarged garden and the area of the original garden The total area of the enlarged garden would be 1 25 times the area of the original garden because the original garden s dimensions are scaled by 1 25 to create the dimensions of the enlarged garden P 1 25a 0 The total area of the enlarged garden would be 1 0 25 0 25 times the area of the original garden because both the length and width of the garden were increased by 0 25 units The total area of the enlarged garden would be 1 252 times the area of the original garden because the original garden s dimensions are scaled by 1 25 to create the dimensions of the enlarged garden The total area of the enlarged garden would be 1 0 25 1 0 25 times the area of the original garden because both the length and width of the garden were increased by 0 25 units

A chemist is performing an experiment by observing the effects when she combines two solutions She monitors the temperature of the combined solution over the course of eight hours and records it in this table Time hours 0 1 2 4 3 5 6 7 Temperature F 20 50 19 82 17 42 14 02 10 82 9 50 12 22 21 62 The chemist can model the temperature with a polynomial function During these eight hours over what interval is the temperature decreasing OA O B O C O D from hour 2 to hour 6 from hour 0 to hour 5 from hour 0 to hour 8 from hour 5 to hour 8 8 40 82

Problem 7 Suppose that a population P t follows the following Gompertz differential equation dP dt 3P 20 In P with initial condition P 0 110 a What is the limiting value of the population b What is the value of the population when t 2

A student picks a random letter from the word cat and a random letter from the word meow Express answers that are not whole numbers as fractions a How many outcomes are in the sample space b What is the probability that a C is chosen c What is the probability that a W is chosen d What is the probability that a C and W are chosen

ar Shakespea inctions on of a country increases at a rate of 1 5 annually and its current population is 430 000 h riple years ears ears e years Reset Next

109800 The movement of the progress bar may be uneven because questions can be worth more or less including zero depending on your answer A gardener makes a new circular flower bed The bed is fourteen feet in diameter Calculate the circumference and the area of the circular flower bed circumference 147 feet area 196 square feet circumference 147 feet area 49 square feet circumference 14 feet area 147 square feet circumference 7 feet area 49 square feet

A spinner has 8 equally sized sections 2 of which are gray and 6 of which are blue The spinner is spun twice What is the probability that the first spin lands or blue and the second spin lands on gray Write your answer as a fraction in simplest form 0 00

You own a company that makes organs and pianos Each week you make at least 6 organs and at least 4 pianos You company cas make at most 16 of the instruments in a week The profit on a piano is 40 and on an organ it is 30 You wish to maximize profit The objective function for this situation is P 30x 40y What is the maximum profit 0 16 0 4 6 4 L 0 0 6 10 6 0 12 4 16 0

115 150 feet A security camera is set to record activities in a 115 sector of a parking lot as represented by the shaded region of the circle Which measurement is closest to the area of the parking lot recorded by this security camera 5 645 square feet 17 671 square feet 22 580 square feet 70 686 square feet

Write an inequality to represent each sit Professor Peterson is buying a writing desk The width of the desk must be less than 4 ft 1 3 An architect is measuring the height of every skyscraper in her hometown Her measurements show that each skyscraper is taller than 270 ft 2 A carpenter is using an air compressor that turns on when the internal pressure of the machine drops below 25 psi 4 A house has a thermostat to regulate the temperature The thermostat is set to turn the heat on when the temperature in the house is less than 65 F

1 A city planning board wants to plan activities that would be fun for families So they sent a survey to 100 households to collect information One of the questions asked was how many children live in the household A clerk working in the city office made the following frequency table based on the responses they received for that question a of children of households reporting this number of children 8 12 18 11 b 0 1 2 3 4 5 6 7 8 69 64 4 2 0 2 1 2 points How many survey responses were used to generate the frequency table above answer 2 points Your friend wants to know how you came up with your answer in part a Please write an explanation that provides clear details about which numbers you used and how you got your

Tristan is studying the relationship between reaction time in seconds to the score achieved in a computer game Reaction time s X 0 210 0 230 0 245 0 199 0 211 0 231 0 278 0 291 0 222 Score y 1987 1898 1776 1990 2001 1811 1652 1432 1999 What is the gradient for the line of best fit Give your answer rounded to the nearest

Question 5 1 pts Nine hundred 900 high school freshmen were randomly selected for a national survey Among survey participants the mean grade point average GPA was 2 7 and the standard deviation was 0 4 What is the margin of error assuming a 95 confidence level round to the nearest thousandths place

Andres Michael bought a new boat He took out a loan for 24 010 at 4 5 interest for 4 years He made a 4 990 partial payment at 4 months and another partial payment of 2 660 at 9 months How much is due at maturity Do not round intermediate calculations Round your answer to the nearest cent Maturity value

An action movie was released two months ago and has been playing at a local movie theater The number of tickets purchased each week is shown in the table Week x Tickets y 1 2 3 4 5 6 7 8 348 402 476 500 520 534 540 545 Which equation best models the relationship between the number of weeks since the movie was released and the number of tickets purchased O y 345 x 1 82 y 82 x 1 345 y 362x 27 y 27x 362

Consider the following table with information about a sample of students from GCA and if they had trigonometry before taking AMDM If a person is randomly selected determine the following probability provided the conditions P Trig Male No Tng Total Female Male Total 2 11 1 6 11 24 1 3 Trig 14 8 22 10 16 26 24 24 48

2 The Venn Diagram below shows the number of boy scouts in a certain troop who have eamed the following merit badges camping swimming and first aid Camping 2 10 6 4 2 5 3 First Aid Swimming 7 a How many boy scouts have a first aid badge b How many boy scouts have a camping badge or a swimming badge c How many boy scouts have a camping badge and a first aid badge d How many boy scouts have a swimming badge but do not have a first aid badge e How many boy scouts do not have a camping badge f How many boy scouts are in the troop

What is the area of this figure 19 in 12 in 6 in 5 in 13 in 13 in 6 in 13 in Write your answer using decimals if necessary

Which of the following is a disadvantage to using tables Check all that apply A Graphs are much easier to work with for all problems B They organize the data C It is often difficult to solve complicated problems with tables alone D They force you to do every problem twice once with a table and once with an equation

Match each equation on the left to the mathematical property it uses on the right 1 4 3 1 4 3 commutative property of addition 2x 5 2 x 5 commutative property of multiplication 3 x 2 3x 6 associative property of addition 8 x 2 x 8 2 associative property of multiplication 6 5 3 3 6 5 distributive property