Basic Math Questions and Answers
Math
Basic MathSolve the following inequality.
2x² <-3x+14
Select the correct choice below and, if necessary, fill in the answer box.
A. The solution set is
(Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
B. There is no real solution.
Math
Basic MathA certain car model was expected to get 459 miles (highway) on 24 gallons of gas. What was the mean number of miles per gallon (mpg)?
The mean number of miles per gallon (mpg) is
(Round to the nearest tenth as needed.)
Math
Basic MathYou want to start saving up for a trip to Europe after you graduate from CSM in two
years. Your goal is to save $3000, so you decide to start a savings account that earns
2.5% interest compounded quarterly. How much should you deposit each quarter to
meet your goal?
$233.38
$600.00
$366.87
$122.03
Math
Basic MathThe number of people y (in millions) who have a driver's license can be estimated by the linear equation y-1.5x+250, where x is the number of years after 2000.
a. Use this equation to complete the ordered pair (7.)
b. Write a sentence explaining the meaning of the ordered pair in part (a).
c. If this trend continues, predict the number of people with driver's licenses in 2019.
Part 2 of 3
a. Complete the ordered pair. (Simplify your answer.)
b. Choose the sentence which best describes the meaning of this ordered pair. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice
(Simplify your answers.)
A. In million people lost a driver's license.
B. In there were million more people with a driver's license than in 2000.
C. In million people obtained a driver's license.
D. In there were million people with a driver's license.
Math
Basic MathA restaurant manager has developed time guidelines for his kitchen staff. One such guideline requires a food prep worker to prepare 27 containers of granola in 7 minutes 40 seconds or less. What is the maximum time allowed per container?
Math
Basic Mathf(x) = -3/x^2
Find two points on the graph of this function, other than the origin, that fit within the given [-10, 10] by [-10, 10] grid. Express each coordinate as an Integer or simplified fraction, or round to four decimal places as necessary.
Math
Basic MathIn a circle with a radius of 6 ft, an arc is intercepted by a central angle of 3π/2 radians
What is the length of the arc?
2π ft
3π ft
6 π ft
9π ft
Math
Basic MathGiven the two functions, which statement is true?
f(x) = log15 x, g(x) = log15 (x+4)
g(x) is stretched vertically by a factor of 2 and shifted to the left 4 units
compared to f(x).
g(x) is shrunk vertically by a factor of 12 and shifted to the left 4 units compared
to f(x).
g(x) is stretched vertically by a factor of 2 and shifted to the right 4 units
compared to f(x).
g(x) is shrunk vertically by a factor of 12 and shifted to the right 4 units compared
to f(x).
Math
Basic MathWhich of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [3, 4]?
Select the correct answer below:
f(x) = 2x² + x − 3
g(x) = -4x² + 3x - 4
h(x) = x³ - 2x² - x +4
j(x) = 2x² - 5x -5
Math
Basic MathAccording to a researcher's data, about 63% of all of San Diego has taken at least 1 dance class. Suppose that we obtain 300 randomly selected San Diegans.
a) Is the sample large enough to use the normal approximation for the binomial? Show it using the conditions.
Math
Basic MathThe monthly demand equation for an electric utility company is estimated to be p= 50- (10)x, where p is measured in dollars and x is measured in thousands of kilowatts-hour. The utility has fixed cost of 8.5 million dollars per month and variable costs of $35 per 1000
kilowatts-hours of electricity generated, so the cost function is C(x) = 8.5(106) + 35x.
a. The value of x and the corresponding price for 1000 kilowatts-hour that maximizes the utility's profit is GHC
b. The Total cost of producing this kilowatt of electricity is GHC
Math
Basic MathThe hole for a footing needs to be 7 ft deep. If it is currently 1 ft 7 in. deep, how much deeper does it need to be dug? Give the answer in inches. The hole needs to be dug inches deeper.
Math
Basic MathLacey is at her house, which is located at (2, 4) on a coordinate grid. She wants to go to a bookstore that is located at (1, 6).
Which route could she take? Assume 1 unit = 1 mile.
A.1 mile to the right and 6 miles up
B.2 miles to the left and 1 mile up
C. 6 miles to the right and 1 mile up
D.1 mile to the left and 2 miles up
Math
Basic MathPsychologists use the formula i = 100m/c to measure a person's intelligence. Called the intelligence quotient, or I.Q., i is expressed in terms of m, the person's mental age, and c, his or her chronological age, or number of years he or she has lived.
a) Find the I.Q. of someone whose mental age is 18 and whose chronological age is 15.
b) Solve the formula for m in terms of i and c.
c) Check your answer for part a of this exercise in your formula for part b, letting m= 18 and c = 15.
d) Solve the formula that you wrote for part b of this exercise for c in terms of i and m.
Math
Basic MathThe average number of pounds of red meat a person consumes each year is 196 with a standard deviation of 22 pounds (Source: American Dietetic Association). If a sample of 50 individuals is randomly selected, find the probability that the mean of the sample will be greater than 200 pounds.
A 0,7613
B. 0.8815
C 0.0985
D. 0.9015
Math
Basic MathThe perimeter of a square box is 12x + 32. Drag numbers to complete an equivalent expression that shows the perimeter as four times the side length of the box. Numbers may be used once, more than once, or not at all.
1 2 3 4 5 6 7 8
Math
Basic MathIdentify the explicit formula for the sequence given by the following recursive
formula:
f(n)=
[ƒ(1)=-2
f(n)=f(n-1)+4 if n>1
A) f(n) = 2 - 4(n − 1)
B) f(n) = −4 + 2(n − 1)
C) f(n) = -2 + 4(n − 1)
D) f(n) = 4 - 2(n − 1)
Math
Basic MathGiven the function f(x) = 2x - 1, evaluate and simplify the expressions below. See special
instructions on how to enter your answers.
f(a) =
f(a+h) =
f(a+h)-f(a)/h =
Math
Basic MathIf we are collecting sample data for a study, the that we choose can greatly influence the validity of our conclusions. For example, we can use sound statistical methods to analyze data in voluntary response samples, but the results are not necessarily valid. If we are collecting sample data for a study, the the validity of our conclusions. For example, we voluntary response samples, but the results are
Math
Basic MathA line passes through the point (, 2) and has a slope of -2.
Write an equation in point-slope form for this line.
Math
Basic MathThe atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pressure P (a) (in mmHg) is approximated by P (a)=760e^-0.13a
(a) Find the atmospheric pressure at sea level.
(b) Determine the atmospheric pressure at 4.996 km (the altitude of Mount Blackburn). Round to the nearest whole unit. Do not round intermediate calculations.
Math
Basic MathA family buys a studio apartment for $180,000. They pay a down payment of $54,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $81,000 down payment be?
a. The down payment is% of the purchase price.
(Type a whole number.)
Math
Basic MathRewrite this number in decimal notation without the use of exponents or scientific notation:
2.858 x 10¹
Enter an integer or decimal number [more..]
Answers may be entered with or without commas, but answers must be exact (no rounding at all).
Also, do not include any spaces in your answer.
Math
Basic MathFind the degree, leading coefficients, and the maximum number of real zeros of the polynomial.
f(x) = x² + 2 + 5x^8 - 3x^5
Degree =
Leading Coefficient =
Maximum number of real zeros =
Math
Basic MathDetermine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.Voltage measurements of batteries: 1.5 V, 3 V, 4.5 V, 6 V, and 7.5 V
Choose the correct answer below.
Nominal
Interval
Ratio
Ordinal
Math
Basic MathGraph the rational function.
f(x) = 3x+3/x+2
Start by drawing the vertical and horizontal asymptotes. Then plot two points on each piece of the graph. Finally, click on the graph-a-function button.
Math
Basic MathA small airline has a policy of booking as many as 57 persons on an airplane that can seat only 50. (Past studies have revealed that only 77% of the booked passengers actually arrive for the flight.)
Find the probability that if Air-USA books 57 persons, not enough seats will be available.
Math
Basic MathThere are currently 10 frogs in a (large) pond. The frog population grows exponentially, tripling
every 9 days.
How long will it take (in days) for there to be 270 frogs in the pond?
The pond's ecosystem can support 7290 frogs. How long until the situation becomes critical?
Math
Basic MathLet f(x) = 7/x
The slope of the tangent line to the graph of f(x) at the point (-6,-7/6) is
The equation of the tangent line to the graph of f(x) at (-6, -7/6) is y=mx+b for m= ___ and b= ___
Math
Basic MathPetty Marine Co. has a long-term plan to expand to a second location that's actually near some water, so they want to start a monthly annuity to save $100,000 in capital over 4 years. The best rate they can find is 10%. Find the monthly payment. Round to the nearest cent.
A monthly payment of $ would be necessary.
Math
Basic MathA charity organization had to sell a few tickets to their fundraiser just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $800 (due to the production costs). They sold each ticket for $70.
Let y represent the net profit (in dollars) when they have sold a tickets.
Complete the equation for the relationship between the net profit and number of tickets sold.
Math
Basic MathLet (4, -7) be a point on the terminal side of θ.
Find the exact values of sinθ, cscθ, and cotθ.
Math
Basic MathIf 11900 dollars is invested at an interest rate of 10 percent per year, compounded semiannually, find the value of the investment after the given
number of years, using the following formula: A(t) = 11900(1+0,1/2)2t
(a) 5 years:
Your answer is
(b) 10 years:
Your answer is
(c) 15 years:
Your answer is
Math
Basic MathA major league baseball team has 20 players on the active roster. How many choices does a manager have for batting order, listing the nine starters from 1 through 9?
Math
Basic MathThe time that it takes to fold 1,000 origami cranes varies inversely with the number
of people folding the cranes. If a class of 25 students work together to fold the 1,000
cranes, it will take 3 hours. Write an equation to show the relationship between time
(t) and the number of people (n) folding cranes.
Math
Basic MathA class survey asked students to indicate if they are MAC or PC users. Of the following graphs, which is most appropriate to display their results?
A. Pie chart
B. Histogram
C. Either a pie chart or a histogram
D. None of the above
Math
Basic MathA grocery store has a discount of 13% off hand soap. At the same time, the hand
soap manufacturer has a coupon for $2.00 off. Assuming both promotions can be
applied at the same time, how much more would you pay if you applied the coupon
first?
A) $0.26
B) $0.19
C) $0.22
D) $0.30
Math
Basic MathCidnee is weighing combinations of geometric solids. She found that 4 cylinders and 5 prisms
weigh 32 ounces and that 1 cylinder and 8 prisms weigh 35 ounces. Write and solve a system of
equations to determine the weight of each cylinder and prism.
Cylinders weigh
Prisms weigh
Math
Basic MathIs x = 0 a valid potential solution to the equation log(x + 7) + log(x - 3) = 17?
A) Yes, logarithms are valid for any integer.
B) No, because it isn't possible to take the logarithm of zero: log(0).
C) No, because 17 isn't divisible by 7 or 3.
D) No, because when x = 0, the second term is log(-3), and it's impossible to
take the logarithm of a negative number.
Math
Basic MathA student is gathering data on the driving experiences of other college students. One of the variables measured is the type of car the student drives. These data are coded using the following method: 1 = subcompact, 2 = compact, 3 = standard size, 4 = full size, 5= premium, 6 = mini van, 7 = SUV, and 8 = truck. The student plans to see if there is a relationship between the number of speeding tickets a student gets in a year and the type of vehicle he or she drives.
Identify the response variable in this study.
A. College students
B. type of car
C. number of speeding tickets
D. average number of speeding tickets last year
Math
Basic MathIn a random sample of 900 Americans, 40% indicated that they have a cat for a pet. Estimate with 99% confidence the proportion of all Americans that have cats as pets. (Give the confidence interval in percentages.)
Confidence Interval:
Math
Basic MathEach order of lasagna or ravioli at Casa Italia weighs 1 lb and consists of
meat filling wrapped in pasta. On Tuesday evening, the restaurant served
40 orders of ravioli and 60 orders of lasagna and used 60 lb of meat
filling. On Wednesday evening, it sold 60 orders of ravioli and 30 orders
of lasagna and used 50 lb of meat filling.
a. How much meat filling is used in an order of ravioli?
b. How much meat filling is used in an order of lasagna?
Math
Basic MathUse the following information: In the United States, land is commonly measured in terms of acres. One acre is equal to 43,560 square feet.
In the "Old West," a common homestead parcel was 40 acres of land. How many 40-acre parcels are there in 1 square mile?
Math
Basic MathThe following rule describes the relationship between and y.
Rule: To find y add 2 to x.
Complete the table for the given rule.
Math
Basic MathThe point P(5, 0.8) lies on the curve y. If Q is the point (a, 4), find the slope of the secant line PQ for the following values of a.
If a 5.1, the slope of PQ is:
and if a
5.01, the slope of PQ is:
and if a
4.9, the slope of PQ is:
and if a
4.99, the slope of PQ is:
Based on the above results, guess the slope of the tangent line to the curve at P(5, 0.8).
Math
Basic MathA dripping faucet wastes 3 cups of water every 24 hours. How much water is wasted in a week?