Basic Math question and answers for August 28, 2024
- Q An astronomer hosts a stargazing party for $775. If the group tips the astronomer 15%, what is the total amount that the astronomer earns for the stargazing party? Enter the...
- Q How long, to the nearest year, will it take an investment to double if it is continuously compounded at 9% per year?
- Q 6. In 1848 the mathematician Alphonse de Polignac conjectured that "Every odd number can be expressed as the sum of a power of 2 and a prime."(a) Verify the conjecture...
- Q An amount of $23,000 is borrowed for 11 years at 8% interest, compounded annually. If the loan is paid in full at the end of that period, how much must...
- Q For f(x) = x + 2 and g(x) = 2x + 3, find the following functions.a. (fog)(x); b. (gof)(x); c. (fog)(-2); d. (gof)(-2)
- Q UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many additional pounds,...
- Q A particle is moving along the x-axis. The position of the particle at time t is given byx(t) = t - 6t + 9t - 2, 0 ? t ?...
- Q It is known that the number of trees in a small forest will decrease by 5% each year unless some newtrees are planted. At the end of each year, 600...
- Q Use polynomial long division to rewrite the following fraction in the form g(x) +r(x)/d(x),where d(x) is the denominator of the original fraction, q) is the quotient, and r(x) is the...
- Q The cost of parking at the Center City Parking Garage is $5.50 for the first hour or part ofan hour and $2.75 for each additional half hour or part of...
- Q Given the function f(t) = (t - 6) (t + 3)(t - 5)its f-intercept isits t-intercepts are
- Q Tim is trying to decide which loan is better. Bank A offerscompounded weekly, while Bank B offers a 10 year loan at a rate of 5.75% compounded continuously.15 year loan...
- Q There were 16 necklaces that each had 31 beads. If Shana took all the beads off and put an equal amount on 7 chains, how many beads would be left...
- Q Train A has a speed 35 miles per hour greater than that of train B. If train A travels 300 miles in the same times train B travels 195 miles,...
- Q Ben Franklin's gift of $4,000 to New York City grew to $5,000,000 in 200 years. At what interest rate compounded annually would this growth occur?The interest rate would be %.(Round...
- Q Wilma can mow a lawn in 30 minutes. Bullwinkle can mow the same lawn in 90 minutes. How longdoes it take for both Wilma and Bullwinkle to mow the lawn...
- Q If Roy does a job in 10 hours and with the help of Kathryn they can do it together in 3 hours, howlong would it take Kathryn to do it...
- Q Write the negation of the following conditional statement:"If your score is between 12 and 17, you will place into the first course."If you do not place into the first course,...
- Q Economists speak of equilibrium, where the demand exactly equals the supply.Your store supplies ear plugs with 1000 ear plugs per box (or per unit).You know from historical data that your...
- Q (c) In another study, medical researchers concluded that more than 12% of elderly people have sleep apnea. Based on the confidence interval, does it appear that more than 12% of...
- Q Noel has an initial account balance of $4,000. For the next five months, her account balance increases by $1,000 per month. After that, her account balance, b, decreases by $1,000...
- Q Evaluate the expression.10 P210 P? =(Simplify your answer.)4
- Q The number of bats in a colony is growingAfter 3 years, there were 280 bats.After 5 years, there were 1120 bats.exponentially.If the colony continues to grow at the same rate,how...
- Q If the speed of a car with a turbo engine can bemodeled as a function of time using the parabolicequation s(t) = 2t, how many seconds will it takethe car...
- Q A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 86 minutes with a mean life of505...
- Q A manufacturing company currently uses 30 workers to load and unload trucks. Each worker can move an average of 14 boxes per minute. A robotics firm has built a robot...
- Q An apartment complex currently houses 280 people who are spread out across buildings standing on 200,000 square feet of land. The owner of the complex is planning to expand by...
- Q Assume that in one country in 2005, 13 % of the population was 65 or older. By 2050, this percent is expected to be 21.55%. The percent of the population...
- Q An undergraduate statistics class is assigned a project in which they are to sample 500 books from the university library and record the copyright year, the number of pages, and...
- Q You must pick either the Block Method outline or the Point by Point method outline. If you use the block method outline, you will need 2-3 points per subject and...
- Q Suppose the extended Euclidean algorithm is applied to the numbers 240 and 46. It produces two integers a and b with the property 240a + 46b = GCD(240,46) What is...
- Q Q.72 Consider the following behaviours of function in (-1, 1)Continuity IV.I.IncreasingII.DecreasingIII.DerivabilityWhich one of the following four functions exhibits atleast three of the four mentioned above?(A) max (x, x)(B) max (x,x})(D)...
- Q 8a. Toni and Sara make 50 cupcakes for abake sale.Toni made 10 less cupcakes than Sara.How many cupcakes did Toni make?8b. Lucy and Effel make 80 chocolatecandies to sell.Lucy made...
- Q A ball is thrown upward with a velocity of 56 ft/sec, and its height (in feet) after 't' seconds is given by the functionh(t) = -16t + 56t.What is the...
- Q Let p represent the simple statement "It is time to sleep" and q represent "The job pays well."Write the compound statement in symbolic form.The job paying well is necessary for...
- Q Strontium 90 decays at a constant rate of 2.44% per year. Therefore, the equation for the amount P of strontium 90 after t years is P = Poe^-0.0244t. How long...
- Q The human population doubles approximately every 50 years. If there were 2,500,000 people in 1950, how many people are forecasted to populate the earth in 2050?First, complete the equation:Future Amount...
- Q Match the following items In the figure below several reflections are illustrated Note one line if symmetry is m and one is I Pay close attention to the line of...
- Q What is the 5th term in the expansion of Drag a value into each box to correctly express the term Apply the convention of a leading numerical coefficient and variables...
- Q The Harrington family belongs to a yacht club On Saturdays they take their sailboat out in the bay They usually spend about 3 hours sailing around This past Saturday they...
- Q Mellissa plotted the graph of a function The function contains the points 2 4 and 3 6 The domain of the function is all whole numbers y 6 5 4...
- Q Vector u has initial point at 8 6 and terminal point at 6 12 Which are the magnitude and direction of u Ollull 15 232 0 23 199 Ollull 15...
- Q 142 6b5a0d9593b0 assignmentld 22d3fc7d af42 4ec8 8a2f 01a Students draw anywhere on this slide Pear Deck Interactive Slide Do not remove this bar SAREES
- Q A hotel currently has enough room to accommodate at most 200 guests per night They plan to expand their capacity by 12 guests every year In order to make a...
- Q 3 The table shows population x and licensed driver y statistics from a recent year Work the problems on a separate piece of paper take a picture and upload State...
- Q The minute hand on a clock rotates in clockwise direction If the clock was laid on a coordinate plane with its center at the origin and the minute hand currently...
- Q A directed line segment begins at F 10 4 ends at H 8 4 and is divided in the ratio 6 to 2 by G What are the coordinates of...
- Q Question 13 of 15 Which of the following systems of linear inequalities is represented by the solution graphed below OA x22 and y x OB x 2 and y2 x...
- Q Follow the guided instructions below to create the line of reflection that would map the pink figure onto the blue figure Click and drag to draw lines connecting all corresponding...
- Q The graph shows the population of black toads in a forest reserve since their introduction It also includes functions drawn by different researchers to estimate the change in population of...
- Q The dash lined figure is a dilation image of ABC with center of dilation P not shown Is the dilation an enlargement or a reduction What is the scale factor...
- Q 5 Use the Method of Elimination to find the equation of the line in y mx b form that passes through each set of points Set up a system first...
- Q Select the correct answer Each week Marcia travels to the office where she works the supermarket and a local fitness center The three locations represent the vertices of a triangle...
- Q me graph Wh in blue Draw the graph of y f 3x shown in red by determining how a stretch or compression will transform the location of the indicated blue...
- Q Look at the black arrow to the left. This is called a vectoror a directed line segment.How many spaces is the black vector moving right?How many spaces is the black...
- Q Luke purchased a warehouse on a plot of land for his business. The figure represents a plan of the land showing the location of the warehouse and parking area. The...
- Q One transmitting station is located 170 miles north of another transmitting station. Each station simultaneously sends out a radio signal. The signal from the north station is received 800 milliseconds...
- Q Determine the slope and intercepts of the graph below.Vertical InterceptHorizontal Intercept
- Q Consider the function: f(x) = x + 8x - 20The direction of the graph is like which of the following:The y-intercept is at y =The x-intercepts are at x =The...
- Q 1. On November 27th 2021, low tide in a harbour occurs at midnight with a depth of 3 meters.High tide occurs at 12:00 pm that day, with a depth of...
- Q The graph of x =- 4t and y = 3t^2 is aa. Circleb. Ellipsec. Parallel Linesd. Half Parabolae. Parabola
- Q There are three types of solutions to any system of two equations. What are the types? What do those solutions look like graphically?
- Q 1. Follow the steps below to help you prove or disprove that the point (1, V15) lies on the circle that is centered at the origin and contains the point...
- Q For each of the following equations, identify which conic section the equation represents(circle, ellipse, hyperbola or parabola), state the orientation (vertical or horizontal), andthe coordinates of the center (for circles,...
- Q List the intercepts of the equation y = 3x - 81.List the intercepts. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A....
- Q Graph the funtion.f(x) = 3?x-2Plot five points on the graph of the function, as follows. Plot the first point using the x-value that satisfies ??x-2 = 0. Plot two points...
- Q Determine if each of the following functions is a growth exponential or a decay exponential.a.y=4-2.2xb. y=3e-7xc. y = 20.1xd.y=0.32x
- Q Write the first five terms of the sequence.f(0) = 3: f(n) = f(n-1). 2f(0) =(1) =f(2)=f(3) =f(4) =0.00
- Q Give the coordinates of the point obtained from each reflection.(a) Reflect the point (0, 4) across the y-axis:(b) Reflect the point (0, 4) across the X-axis:
- Q The second section of the walk continues from point B along Bell Avenue to the finish line at point C, as shown on the map. a. Each unit on the...
- Q Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?(1) reflection across the y-axis, vertical compression by a factor of 0.1, vertical...
- Q The vertices of a square are H(0,2), I(2,0), J(0-2), and K(-2,0).Which statements are true of the image of HIJK after the given composition of transformations? Select all that apply.Step 1:...
- Q Solve the triangle with ?= 55, ? = 69, and c = 25.91.?= degressa=b=Round all answers to 2 places after the decimal point. Give angles in degrees...
- Q A company discovers that to produce x = 660 new electronic parts, it will cost y = $51,080. To produce 850 new electronic parts, it will cost $63,050.Compute the slope...
- Q A Red Cross helicopter takes off from headquarters and flies 115 kmin the direction 220 from North. It drops off some relief supplies, then flies 75 km at 325 from...
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