Basic Math Questions and Answers

Tickets for a carnival cost $8 for an adult and $5 for a child. On a certain evening, 762 tickets were sold for a total of $4680. How many adult tickets were sold? 290 adult tickets 294 adult tickets 279 adult tickets 312 adult tickets 298 adult tickets

On the grid below, the solid curve represents y=e*. Which of the following exponential functions could describe the dashed curve? Explain your choice. (1) y=(1/2)* A 22 (2) y=e* (3) y = 2* (4) y = 4*

Given the information below, define a set of parametric equations, r(t) and y(t) to model the movement of an object traveling along a straight-line path. At time t = 0, the object is at (4,0). At time t 1, the object is at (-4,1)

Determine all the solutions for √x+2+√3x + 7 = 1. x=-2 x=1 x = -2, x = -1 x= -2, x = 1

Three times a first number decreased by a second number is one. The first number increased by twice the second number is twelve. Determine the numbers. 6 and 12 0 and 12 -2 and -7 1 and 2 2 and 5

where P is the power (in watts) and vis the velocity of the wind (in mph). Determine the velocity of the wind when the windmill is generating 600 watts of power. A) v = 965.42 mph B) v 19.88 mph C) v = 31.07 mph D) v = 173.19 mph E) v = 37.28 mph

Angelize wants to buy pumpkin and autumn squash for a fall display. She has a budget of no more than $117 but wants to buy more than 10 vegetables for the decorations. The pumpkins are $5.50 each and the autumn squash are $3.50 each. Identify the possible solution below to Angelize's situation. 8 pumpkins and 4 squash 4 pumpkins and 5 squash 15 pumpkins and 11 squash 5 pumpkins and 5 squash CE

Determine the pattern and complete the table. Then write a formula to describe then relationship between the input and output variables.

Solve the system of equations- 10x - 5y = 5 80x+7y=181 Ono solutions (2, 3) (5,0) (-2, -3) (-1, 6) infinite solutions

Consider the following equation. y = x² + 4e^x Find y'(x). y'(x) = 4x³ + 9e^x Find equations of the tangent line and normal line to the given curve at the point (0, 4). tangent line normal line

A volleyball team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets: premium for $10, deluxe for $4, and regular for $2. The total number of tickets sold was 208, and the total amount of money from raffle tickets was $714. If 78 more regular tickets were sold than deluxe tickets, how many premium tickets were sold?

When talking about budgets, what should ALWAYS be the inequality symbol? everything you're buying ≤ Total everything you're buying < Total everything you're buying > Total everything you're buying ≥ Total

Two buses, which are 2400 miles apart, travel towards each other. Their speeds differ by 60 miles per hour. They pass each other after 5 hours. Find their speeds. 210, 270 220, 270 250, 250

You decide to begin selling glow sticks at the local star wars convention. Your cost for each glow stick is $0.59 plus you have to pay a fixed weekly fee of $220 for the booth. Your plan is to sell each glow stick for $2.59. 1. Write an algebraic expression to represent your total costs for the week if you sell n glow sticks. Total Costs: 2. Write an algebraic expression to represent the revenue from the sale of n glow sticks during the week. Revenue: 3. Write an algebraic expression that represents the profits for selling n glow sticks in a given week. Profit If you sell 300 items, your total costs for the week will be $ Your revenue from selling 300 glow sticks is $ Your profit for selling 300 glow sticks is $

Juan had $21600 and chose to split the money into two different mutual funds. During the first year, Fund A earned 8% interest and Fund B earned 6% interest. If he received a total of $1504 in interest, how much had he invested into each account? Juan invested $ into Fund A. Juan invested $ into Fund B.

Identify the type of solution of the equation x + 4 = x+3. Unique solution No solution Infinite solutions

Functions can be represented in __ ways. 5 3 4

Compute the sum of all the solutions of the equation I2x−2/xI = 1 8 A) -4/3 B) 8/3 c) -8 D) 8 E) 38/3

Determine all the solutions of the equation. Give the sum of all the solutions. √9x+4= √7x+8 A) O B) 8 C) 2 D) -2 E) -8

Steinway piano should be placed in an environment where the relative humidity h is between 36% and 62%. Express this range with an inequality containing an absolute value. A) h + 13% ≤ 49% B) h-49% ≤ -13% C) h-49% ≤ 13% D) |h + 13% < 49% E) |h-49% > 13%

We are interested in the first few Taylor Polynomials for the function f(x) = 3e + 7e * centered at a a=0. To assist in the calculation of the Taylor linear function, T₁(x), and the Taylor quadratic function, T₂(x), we need the following values: f(0) = ƒ'(0) f''(0) = Using this information, and modeling after the example in the text, what is the Taylor polynomial of degree one: T₁(x) = What is the Taylor polynomial of degree two: T₂(x) =

The payments of a lease are $190 a month for 60 months. Jessica paid a deposit of $580, a title fee of $95, and a license fee of $65. At the end of the lease she can buy the car for a residual value of $3,900. True or False: The total cost if she buys the car at the end of the lease is $16,040.

Maude and Matilda each have a bank CD. Maude's is $1000 larger than Matilda's, but Maude's interest rate is 2% less. Last year Maude received interest of $840, and Matilda received $800. Determine the interest rate of each CD. A) Maude at 14%: Matilda at 16% B) Maude at 12%: Matilda at 14% C) Maude at 13%: Matilda at 15% D) Maude at 15%: Matilda at 17% E) Maude at 17%: Matilda at 19%

Consider the quadratic function f(x) = x² + 3x -4 Determine the following: (enter all numerical answers as integers, fractions, or decimals): The smallest x-intercept is x = The largest x-intercept is x = The y-intercept is y = The vertex is ( The line of symmetry has the equation

The height of a projectile fired upward with an initial velocity of 160 feet per second is given by the formula h = -16t² + 160t where h is the height in feet and t is the time in seconds. Determine the time required for the projectile to return to earth. A) 35 sec B) 25 sec C) 10 sec D) 5 sec E) 20 sec

A continuously-decreasing function that is concave up on the interval [2, 6] is represented by the table. Part A: Find the left Reimann sum estimate of f(x) dx, based on the subintervals given in the table. (4 points) Part B: Write the midpoint Reimann sum that estimates f(x) dx, based on the subintervals given in the table. (4 points) Part C: Determine whether the left Reimann sum estimate is an overestimate or an underestimate, based on the properties of the function. (2 points)

Estimation A ramp is being built to a building to help with deliveries. The angle that the bottom of the ramp makes with the ground is 38.1°. Estimate the measure of the other acute angle. Find the exact measure of the other acute angle. Which of the following is a good estimate for the measure of the other acute angle? A. 57° B. 62 C. 47° D. 52°

In the figure, m∠1 = (x+7)°, m∠2 = (3x+3)°, and m∠4 = (5x-6). Write an expression for m∠3. Then find m∠3. Which is an expression for mZ3? Select all that apply. A. 180° -(5x-6)° B. 180° - (x+7)° C. 180° -[(3x+3)° + (x+7)°] D. 180° + (x + 7)°

Helena is going to drive a distance of 245 miles each way on a trip. She used 14 gallons of gas going there and 10 gallons returning. What was her gas mileage to the nearest mile for the entire trip? 19 miles per gallon 20 miles per gallon

Estimate the - and y-intercepts from the graph. Write each intercept as an ordered pair. Separate your answers using commas, if necessary. Select "None" if applicable.

Some mathematics professors would like to purchase a $140 microwave oven for the department workroom. If 5 of the professors do not contribute, everyone's share will increase by $50. How many professors are in the department? A) 26 B) 21 C) 14 D) 7 E) 9

You drove 10,000 miles last year. Your expenses were $3,100 in gasoline, $150 in oil and lubrication, $780 in minor repairs, $1,900 in insurance and $60 for license and vehicle sticker. True or False: Your cost for maintaining your vehicle per mile is $0.58. True False

How many solutions does the following system have? 3x - 2y + 3z = 3 9x + 3y + z = -3 -27x11z = -3 Select the correct answer below: No solutions 1 solution Infinitely many solutions

Sketch the logarithmic function h(x)=-4 log(x+2)+4 Find two points on the graph, and determine the domain and the equation of any vertical asymptotes. Fill in the missing coordinates of the points that lie on the graph of y= log 4 x and the corresponding points that lie on the graph of h(x)=-4 log(x+2)+4.

A new restaurant is to contain two-seat tables and four-seat tables. Fire code limits the restaurant's maximum occupancy to 56 customers. If the owners have hired enough servers to handle 17 tables of customers, how many of each kind of table should they purchase? two-seat 7; four-seat 10 two-seat 10; four-seat 7 two-seat 12; four-seat 5 two-seat 5; four-seat 12 two-seat 6; four-seat 11 two-seat 11; four-seat 6

Simplify the fraction. If the fraction is already simplified, so state. 72/88 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 72/88= (Simplify your answer. Type a whole number or a fraction.) B. The expression cannot be simplified.

Solve the system of equations: 4x = 3y + 8 2x - 5y = -14 (-41/7, 36/7) (41/7, -36/7) no solutions infinite solutions (41/7, 36/7)

Find all angles between 0 and 360° such that sec =2.705. Round to the nearest degree. a) Find the reference angle. b) Determine the Quadrants in which the solutions are in c) Find the angles in the two quadrants, rounded to the nearest degree. Be sure to type your answers to all parts in the answer box. Be sure to show all work on loose leaf as a file upload question at the end.

The table below shows the number of individuals infected with a disease t days after its first detected by the CDC. For each of the following problems, enter regression equation values with at least 3 decimal places. Enter predictions to the nearest whole individual. 1) Use regression to find an exponential equation that best fits the data above. The equation has form y = abt where: a = b= Use the model to predict the number of individuals infected with the disease after 16 days. individuals 2) Use regression to find a linear equation that best fits the data above. The equation has form y = mt + b where:

Pick the system of inequalities satisfied by the point (-4,2). y< x +7 and y> 7x-3 y>-x+7 and y> 7x-3 y> -x + 7 and y <7x - 3

Simplify the rational expression: m-3/3-m -1 m 1

Willie bought a CD for $16.95 and eight blank videotapes. The total cost was $52.55 excluding the tax. Find the cost of each blank videotape. $4.45 $5.35 $3.25

The volume of a cone is 113.04 mm2. What is the approximate volume of a sphere that has the same height and a circular base with the same diameter? Use 3.14 for π and round to the nearest hundredth. 113.04 mm³ 226.08 mm³ 904.32 mm³ 3,052 mm³

Identify the number of solutions the following equation has: 7-5(z-6) +4=3-2(z-5)-3z +28. No Solution Unique Solution Infinitely Many Solutions

Which of the following represents vector t = -8i + 6j in trigonometric form? t= 10 (cos 36.87°, sin 36.87°) t= 10 (cos 143.13°, sin 143.13%) t= 10 (sin 36.87°, cos 36.87°) t= 10 (sin 143.13°, cos 143.13%)

The path of the object thrown above the ground level is given by the function s(t) = 2t2 + 5t + 3. Rewrite it in factored form. (2t+3)(t-1) (2t+3)(t+1) (2t-3)(t+1)

Solve for x and write the solution set using set-builder notation: 1.5-0.25x ≤ 6 {x|x ≥-18} {x|x ≥-10} {x|x ≤ 8}

Function W gives the weight of a cat t weeks after it was born. The weight is measured in pounds. Use function notation to represent this statement: 10 weeks after the cat was born, it weighed 8 pounds. t=8, W=10 10(8) = W W(10)=8 W(8)=10

Dan traveled to his friend's house and back. The trip there took two hours and the trip back took three hours. What was Dan's average speed on the trip there if he averaged 20 mph on the return trip? 25 mph 50 mph 42 mph 43 mph 30 mph

Write an equation for a line perpendicular to y = 2x - 5 and passing through the point (2,2) y =