Basic Math question and answers for June 15, 2024
- Q An online furniture store sells chairs for $50 each and tables for $550 each. Every day, the store can ship a maximum of 32 pieces of furniture and must sell...
- Q 1Magic Mountain sells a refillable soda cup for $18.50. Each refill costs $1.75. Last month, you spent $46.50 on the cup and refills. How many refills did you buy?a) Step...
- Q Cooper is a salesperson who sells computers at an electronics store. He makes a base pay amount of $60 per day regardless of sales and he earns a commission of...
- Q Subtract the following polynomials (Write answers in descending order):8. (-x+x-4)-(3x-8x - 2)9. (8x-3x) - (5x-5-8x)10. (-x-5x-3)-(-7x - 8x-8)11. (-2x + x)-(7x-3-7x)12. (3x + 3x +9) - (5x-7x + 6x-9)13. (5x...
- Q Factor the following expression completely: x(x + 1) - 3(x + 1)
- Q Ms. Fowler had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue stick cost $1.40, and each box of...
- Q In 2005, Bhutan had a population of about 2200000 and was growing at a rate of 2.11 percent per year. Let P(t) be the population t years after 2005 assuming...
- Q What is the equation of the line that goes through (-3,-1) and (3,3)?A. 3x+2y=15B. 3y + 2x = 15C. 3x-2y=3D. 2x-3y=-3
- Q Factor the following expression completely: 6x^18 + 16x^12 +6x^7
- Q Given f(x) = f(x)= 1/2 (-x+4)-3a. Identify all the transformations of the toolkit function f(x) = x.b. Graph using transformations by first graphing the toolkit function, then the progression of...
- Q A large tank contains 90 litres of water in which 22 grams of salt is dissolved. Brine containing 11 grams of salt per litre is pumped into the tank at...
- Q The density of steel is 8,050 kilograms per cubic meter. A construction company is using a steel beam in the shape of a rectangular prism that measures 12 meters long,...
- Q Given v(x) = x +12x +36x+9 and dv/dx = 3x +24x+36, select the local maximum and minimum of v(x).A. Local Max: (6,873); Local Min: (2,137)C. Local Max: (-6,9); Local Min:...
- Q Solve the System by Elimination/Addition3x -3y = 65x + 6y = -1
- Q 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...
- Q The number of research articles in Physical Review that were written by researchers in the United States from 1983 through 2003 can be approximated byA(t) = -0.01t + 0.24t+ 3.4...
- Q An inground swimming pool contains 2.3 x 10^4 units of water. Which unit of measure was used?teaspoonscubic centimetersfluid ouncesgallons
- Q The height h (in feet) of a water balloon can be modeled by h(x) = -3x + 24x + 11, where x is the horizontal distance (in feet) from the...
- Q Use technology to graph the pairs of functions on the same set of axes with -3 ? x ? 3.f?(x) = 1.6^x, f?(x) = 1.8^xIdentify which graph corresponds to which...
- Q Factor the following expression completely: xy + 4y - 6x - 24
- Q Factor the polynomial f(x)=x-3x-9x+27 and find all its real zeros using the Zero Product Property.f(x) = (x - 3)real zero at x=3 (multiplicity 2)f(x) = (x - 3)real zeros at...
- Q Factor the following expression completely: 70p+q - 10 - 7qp
- Q What electrical changes occur in muscles as they get tired? Student subjects hold their arms above their shoulders until they have to drop them. Meanwhile, the electrical activity in their...
- Q The value V of an item after 7 years is given by the following formula, assuming linear depreciation,V = C-Crt,where C is the original cost and r is the rate...
- Q If f(x) is a linear function, f(-1) = 1, and f(5) = -3, find an equation for f(x).f(x) =
- Q Factor the following expression completely: 24p + q-3-8qp
- Q Determine whether y is a function of x.x + y = 3Yes, y is a function of x.No, y is not a function of x.It cannot be determined whether y...
- Q The domain of the piecewise function is (-?,?).f(x) =x+4 if x < -2x-4 if x ? -2a. Graph the function.b. Use your graph to determine the function's range.a. Choose the...
- Q At a golf club the demand equation for the number of members of the club, q is given byq=-10p+200where p is the yearly price for membership in the cluba) Find...
- Q Add the following polynomials (Write answers in descending order):1. (7j-2) + (5j-j-3)2. (8a5-4) + (3a + a-2)3. (6m5 + 1) + (2m5 + 9m - 1)4. (3m5 + 1) +...
- Q Graph the equation y = -x + 12x - 35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph,...
- Q For a recent year, the monthly snowfall (in inches) for Chicago, Illinois, for November, December, January, and February was 2, 8.4, 11.2, and 7.9 respectively. How much snow would be...
- Q A car rental agency advertised renting a car for $24.95 per day and $0.28 per mile. If Shawn rents this car for 2 days, how many whole miles can he...
- Q The dollar value v (t) of a certain car model that is / years old is given by the following exponential function.v (t)=32,000(0.95)^tFind the initial value of the car and...
- Q Tell whether each sentence below is true or false.The formula for calculating the sum of any finite geometric sequence is n/2 (a? + an).Standard deviation is a popular (and accurate)...
- Q Solve the polynomial inequality. (x + 1)(x-2)(x - 5) >0(-?, -1) U (2,5)(-1,2) U (5,?)[-1,2] U [5,?)(-?, -1] U [2,5]
- Q A bacteria culture starts with 960 bacteria and grows at a rate proportional to its size. After 6 hours there will be 5760 bacteria.(a) Express the population after t hours...
- Q Among all pairs of numbers whose difference is 14, find a pair whose product is as small as possible. What is the minimum product?The pair of numbers whose difference is...
- Q Factor the polynomialf(x)= x - 2x - 9x +18given that x=2 is a zero of f(x).f(x) = (1-3)(x + 3)f(x) = (x-2)(x-3)(x+3)f(x) = (x + 2)(x ? 3)(x+3)f(x) = (x-2)(x...
- Q A cylinder with surface area 300 square inches and a height equal to 10 inches has what volume?Round to the nearest cubic inch.391 cubic inches.782 cubic inches498 cubic inches738 cubic...
- Q PLAT has vertices P(-1,1), L(0.2), A(1,2), T(0,1). P'L'A'T' is the image of PLAT for the translation (x,y) ? (x+3, y-2), Show that PP', LI', AA', and TT' are all parallel.Two...
- Q You start a small baking business, and you want to earn a profit of at least $250 in the first month. The expenses in the first month are $155. What...
- Q Factor the following expression completely: -4w - 4w - 6w-6
- Q Katie was asked to solve the following inequality and show all of her work. She made an errorwhen solving.x/3 +2?6x + 2 ? 18X ? 16
- Q Members of the student council are taking a trip to the state legislature. The student council must pay a $1000 entry fee plus $140 per student.What is the average total...
- Q A certain forest covers an area of 1900 km2. Suppose that each year this area decreases by 8%. What will the area be after 11 years? Use the calculator provided...
- Q An entry level machinist's annual pay is $40,872 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks...
- Q Graph the function.h(x)=-3x+5Plot five points on the graph of the function: one point with x=0, two points with negative x-values, and two points with positive x-values. Then click on the...
- Q Suppose that we want to examine the relationship between high school GPA and college GPA. We collect data from students at a local college. The linear regression predicted college GPA...
- Q Clay's hair is 10 2/7 inches long. The barber trims off 1/4 inch. About how long is his hair now?A 9 in.B 10 in.C 11 in.D 12 in.
- Q A social networking site recorded that 80% of the people who became members of the site one month were between 30 and 40 years old. The equation below represents this...
- Q Kelly has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her music player as Lou. Altogether, they have 682...
- Q A rectangular field is to have an area of 225 m and is to be surrounded by a fence. The cost,C, of the fence is 2 dollars per meter of...
- Q AB has coordinates A(-3, 9) and B(6, -12)After a dilation with scale factor of 2/3 centered at the origin, the coordinates of A', areThe preimage and the image are to...
- Q Factor the following expression completely: z+9z-1z - 9
- Q Factor the following expression completely: 9w(3w+1) + 3w+1
- Q Find the domain of the function f(x) = 2x + 3x + 1Use interval notation to express your answer.
- Q A hair stylist makes $67 each day that she works and makes approximately $13 in tips for each hair cut that she gives. If she wants to make at least...
- Q Devante has some quarters and dimes. He has 23 coins worth a total of $3.05. How many of each type of coin does he have?Number of quarters:Number of dimes:
- Q If the total precipitation (rainfall and snow) for the year at a mountain town is expected to be 37.9 inches and it has already rained 26.82 inches, how many more...
- Q Add the polynomials: (-x^4 - 2x + 5) + ( -11x - 12x - 1)
- Q Let f(x) = 5x + 3 and g(x)= 2x + 2x. Find (f + g)(x).(f+g)(x) =
- Q Find the associated exponential decay or growth model. (Round all coefficients to three significant digits.)Q = 1,700 when t = 0; half-life = 1Q =
- Q Solve the system of equations:-4/5 x - 5/3 = -7/603/2 x - 2/5y = 11/10
- Q Subtract the polynomials: (-x^5 +7x^4-3x-4x) - (12x^5 - 6x + 2x - 11x)
- Q Factor the following expression completely: xy - 54 + 6y - 9x
- Q For the play, the class sold 22 of their $10 tickets on Monday and 15 of their $10 tickets on Wednesday. On Thursday, the class added up the total number...
- Q 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...
- Q An oral medication is absorbed into the bloodstream at the rate of 3e^-0.04t milligrams per minute, where t is the number of minutes since the medication was taken. Find the...
- Q Factor the following expression completely: 64x^6 + 40x
- Q Given, for some series of metal cubes with variable side length:mass=2.73g/cm^3* length^3Rewrite (including units) length as a function of mass.What measured values would you graph to linearize this function?
- Q A farmer is packing 2,205 pounds of potatoes into boxes. Each box can hold 49 pounds. How many boxes can the farmer fill?A 10B 20C 45D 46
- Q Solve the system of equations. If there is exactly one solution, write as an ordered pair. If not, choose on the other options.x + 2y = -5- 8y = 20...
- Q Jia is tiling a floor. The floor is a square with side length 12 feet. Jia wants the tiles to be squares with side length 2 feet. How many tiles...
- Q Rebecca has $75 in her savings account and she has to pay $5 each month to her parents for her cell phone. Gregory has $45 and he saves $5 each...
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