Basic Math Questions and Answers

A culture of bacteria doubles in size ever y 20 minutes If the culture size is originally 8 cm what size will the culture be in x minutes Find how much will remain in an hour

A car depreciates worth less by 20 each year If it is originally worth 30 000 what will its value be in x years

Write an exponential function that could be used to represent each of the following Calculate y when x is given 1 The population of Mathville doubles every 4 months If the current population is 500 wh will the population be in x months Find the population in 8 months

A hiker leaves the trailhead at 7 30am and heads due north at a rate of 3mph At Bam the hiker makes a slight turn of 29 to the left and continues at the same rate How far is the hiker from the trail head at 9am Distance from trailhead at 9am nearest hundredth of a mile if necessary mi Round your answer to the

Graph the function f x 10 9 8 7 6 Make sure to place a Dot on the graph for any Holes Show all work on your paper to find any they exist dut k 3 2 10 9 8 7 6 5 4 3 2 1 14 1 2 3 4 5 6 7 999 8 9 10 x 7x 6 x 1 Vertical Horizontal Slant Asymptotes X Y Intercepts and Hole 56 8 9 10

Use the Remainder Theorem and synthetic division to find each function value Verify your answers using another method x 4x4 16x 2x 16 0 f 1 b 2 c 5 ral f 100

1 Make a sketch of this function Pay attention to any factors raised to powers Use your ruler to make a horizontal line and mark ever 1 2 inch as an integer Then place your zeros on the x axis Then make a y axis with your ruler f x 2x 1 3 x 7 2 x 3 x 4 Solve question 2 below and find the remainder 5 2 Find the remainder when 8x 6 2x 3 x 1 G N

Complete each phrase to state the meaning of the expression 3 a number

Given v 2i and w 8i 3j find the angle between v and w

Convert the angle in degrees to radians Round to two decimal places 152

The concentration of hydronium ions is greater than 1 x 10 for acidic solutions O True O False QUESTION 5 08 05 MC What is the pH of a solution with a 4 60 x 10 4 M hydroxide ion concentration 0 663 3 33 10 1 O 10 7 QUESTION 6 08 05 LC

A uestion 14 prevents changes to this answer 20 2 3 11 1 31 7 2204 and B 1 If A then find the 2 4 entry of 8A 9B

estion 11 If the demand countion Question 11 of 20 5 points Save Answer

numbers wanted to know about how people in her state felt about internet privacy issues She conducted a poll by calling 100 people whose names were randomly sampled from the phone book note that mobile phones and unlisted aren t in phone books The senator s office called those numbers until they got a response from all 100 people chosen The poll showed that 42 of respondents were very concerned about internet privacy What is the most concerning source of bias in this scenario O Nonresponse bias O Response bias O Undercoverage O Voluntary response sampling QUESTION 7 Which of the data distributions shown below has a higher variability Distribution A et of days 14 12 Distribution B V 0 1 2 32 00 000 000 0000 Portland 00 000 000 000 4 5 6 7 8 QUESTION 8 The graphs show the various temperatures for the month of January in 2 cities Which city has a lower variability of their January temperature Minneapolis 8 9 10 000 umber of days 14 12 10

The table below gives the velocity of a skydiver t seconds into free fall Time in 0 10 20 30 40 seconds Velocity in fps 50 60 0 147 171 175 175 8 176 176 A Find the average rate of change of velocity for each ten second interval B During which interval was the average rate of change the highest C Use the average rate of change from 10 seconds to 20 seconds to approximate the skydiver s velocity 15 seconds into free fall D Use the average rate of change from 0 seconds to 10 seconds to approximate the skydiver s velocity 8 seconds into free fall

a Employees ask every 45th customer that purchases a movie ticket b An employee divides the theater into sections left right front back He she randomly chooses a section and polls every customer within that section QUESTION 21 Which shows the quartiles and median most clearly O Box and Whisker plot Histogram O Stem and leaf plot QUESTION 22 The bar graph shows the scores Brett obtained on his end of year exams Luke s score in English was 15 higher than Brett s score in English What was Luke s score in English Brett s Scores 70 60 50 40 30 20 10 0 Ctralial Frience Geographic Computing Thethod described Hirtend Gepersolue

12 nickels and dimes in his pocket and they have a combined value of 85 cents how many of each coin does he have dimes TOUR nickels

Time Spent on Daily Activities 6 14 7 8 25 ach day that Gary spends on various activities If this information were displayed using a bar graph with hours on the vertical axis what would be the height of the E 40 Dot plot Stem and leaf plot QUESTION 24 Which plot does not display all of the value of the data Box and Whisker plot QUESTION 25 Describe the 5 number summary for the given data 17 29 32 9 30 14 8 39 11 32 23 Minimum First Quartile Work Sleep TV Shower Sport Eat

991 5481 3 x You may enter the exact value or round to 4 decimal places

If no solution write DNE log 8x 4 logg 9x 4 C

Use the frequency diagram which shows the number of American drivers in millions according to age Ages of Drivers Find the probability that a voter chosen at random is Round to the nearest hundredth Under 24 25 34 years old 35 44 years old 45 54 years old 55 64 years old 65 74 years old 75 or older Total Frequency in millions 25 709 36 739 42 153 36 021 22 674 15 854 11 472 19 between 25 and 34 years old 20 between 35 and 54 years old 21 not between the ages of 35 and 54 22 65 years or older Licensed Drivers By Age And Sex In Thousands Fhwa Dot Gov 2020 https www ftwa dot gov chim ont00 bar7 htm

Brian hosts a podcast and he is curious how much his listeners like his show He decides to start with an online poll The poll shows that 89 of the 200 respondents love his show What is the most concerning source of bias in this scenario O Response bias O Undercoverage O Voluntary response sampling O Nonresponse bias QUESTION 10 Dicced statictice can result from a variety of problems during the data collection process What term is used when the respondere lic o

Rationalize the denominator The result can be expressed in the form B 55 13 11 55 13 11 W where Entry Tip Do not use a decimal approximation for square roots To enter a number like 5 7 typ 5 sqrt 7 Preview your answer before submitting

Simplify completely 2 6000 3 Enter the numerator and denominator separately in the boxes below If the denominator is 1 enter the number 1 Do not leave either box blank Make sure that the coefficient on is positive Answer

Which of the following is the cheapest route to visit each city using the Brute Force Method starting from A and ending at A 130 B 240 200 220 210 ABCDA 850 ADCBA 880 ABDCA 890 None of the Above 320 D

For each of the following identify write out the sample space of the probability experiment and determine the number of outcomes size in the sample space Sample Space Experiment 2 Guessing the middle initial of someone s name 3 Tossing three coins DRAW a tree diagram Tossing three coins LIST the Size

Planar Graphs This figure depicts a K3 K23 Ks graph C

Saunders and Associates annually selects employees for random drug tests Human Resou computer to randomly select employee numbers that range from 1 876 Round to the nearest hundredth Event Work it out here 16 Find the probability of selecting a number less than 500 17 Find the probability of selecting a number greater than 600 18 Find the probability of selecting a number divisible by 100 Answer

Simplify completely n 10 9 Enter the numerator and denominator separately in the boxes below If the denominator is 1 enter the number 1 Do not leave either box blank Make sure that the coefficient on z is positive Answer

A soccer ball was per hour at an angle of 35 kicked into the air at a speed of 59 miles from the horizontal Express this velocity in vector form Round your answer to four decimals

11 You toss a coin and randomly select a number from 0 9 What is the probability of getting heads and a 9 12 A random number generator is used to select a number from 1 150 What is the probability of selecting the number 159 13 30 of the 100 iPads in an inventory are known to be cracked What is the probabilita Work it out here

While Tom is able to kayak 25 mph upstream he is able to go at a faster rate of 33mph going downstream With the water current moving at 2mph what rate is Tom moving in still water keep decimal

If Trevon has 10 nickels and dimes in his pocket and they have a combined value of 80 cents how many of each coin does he have dimes nickels

Rate of Change Find the rate of change of the table below Total Cost of Balloons in Dollars Number of Balloons 2 4 6 8 6 12 18 24 Guided Practice SLOPE rise change in y change in x run Given 2 points X Y X2 Y2 Formula Yz Y X2 X1

Can you solve the riddle What has hands but doesn t clap

Solve the given equation over the real numbers Enter your answer as an integer or a reduced fraction Do not use decimals If there are more than one solutions separate them by a comma If there is no solution enter DNE 5 n 1 n 3 n 3 24 n 4n 3

5 Determine the length of side w to the nearest hundredth L 83 K 20 W M

What is the domain of the function in the graph 20 m 18 16 14 12 10 8 6 4 2 01 n 6 010 c 15 010 n 15 01 c 6 4 27

1 Calculate the value of x to the nearest tenth sin 38 x 80

2 If no solution write DNE log5 9x 9 log 8 3

only has 1 3 4 so he can only make 2 3 how much more does he need

Which product has 4 zeros after the digit 3

Determine the periodic payments PMT on the given loan or mortgage HINT See Example 5 Round your answer to the nearest cent 90 000 borrowed at 7 for 9 years with monthly payments x PMT 171123

Foreshadowing is a writer s use of hints or clues to indicate events that will occur later in the story It is a figurative device that adds suspense while also warning the reader of what is to come Consider the use of foreshadowing as well as the difference between figurative and literal meaning when answering the following questions in relation to Lord of the Flies Explain Golding s reasoning to incorporate the storm at the start of Chapter Eight How is this an effective use of foreshadowing Explain Golding s reasoning for having the storm fill the beast s parachute and carry it off to sea Extra Credit Up to five points Give a clear explanation of another time that Golding used foreshadowing to indicate an upcoming event within the story

aved Minimum Spanning Trees Using the Breadth First Search Algorithm which shows a correct minimum spanning tree of the graph shown starting at vertex A A 0 0 B 3 2 3 11 2 E 3 F 2 4 2 F 3 0 Pa E

2 Find the lengths of both circular arcs of the unit circle connecting the point 2 2 2 2 and the endpoint of the radius the makes an angle of 8 radians with the positive hori zontal axis

Compare the two tutorial group sizes Which semester had a higher variability Figure 1 Comparison of tutorial group sizes stoob ja ja Semester 1 Semester 2 L 7

Tree Graphs Which graph below is a tree graph O 4 0

Sam has conducted a survey to get more information about healthy diets He hands his survey out to 100 people in the cafeteria at his college Only 45 people choose to participate in the survey leaving 55 people that did not respond type of bias does this scenario best describe O Response bias Nonresponse bias Observer effect O Placebo bias

What term describes the extent to which data points in a statistical distribution or data set diverge from the average mean value as well as the extent to which these data points differ from each other