Algebra question and answers for December 23, 2023
- Q For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest 10th of a percent.Data Frequency12 ...
- Q Evaluate the expression (4p-m) +4 where m = -4 and P = 2
- Q Evaluate:? 8(1/4)?? = [ ? ]Round to the nearest hundredth.
- Q Use the discriminant to determine the number and types of solutions of the quadratic equation.- 5x=-3x +4The equation has _____
- Q Determine the amount of the ordinary annuity at the end of the given period. $500 deposited quarterly at 6.7% for 8 years
- Q Complete the table to determine the balance A for $14,000 invested at rater for t years, compounded continuously. (Round your answers to the nearest cent.) r-1.5%t 1 10 20 30...
- Q Find the vertices of the hyperbola. Enter the smallest coordinate first.x/9 - y/49 = 1
- Q What does this mean?i=1?yi?3 ? 9000 , i=1?yi? 3 ? 12000
- Q If $92,650 is invested in an account earning 4 2/5% annual interest compounded continuously, then how much interest is accrued in the first 4 years?Round to the nearest cent.
- Q Find the center and foci of the ellipse:64x +100y2 + 768x-600y - 3196= 0Center = Foci =
- Q Find the radius of the circle.3(x - 5) +3(y+9) = 48r=[ ? ]
- Q If R is the parallelogram with vertices (0,0), (4,2), (0,4) and (-4,2) determine the region we would get applying the transformation x=u-v, y = 1/(u + v) to R.
- Q The following is the actual sales for Manama Company for a particular good: Sales1 162 193 254 325 33The company wants to determine how accurate their forecasting model, so they...
- Q use the comparison test to determine whether the following series Converge or diverge.(a) ?1/3K +5(b) ? 5 sin k/k!(c) ?lnk/k(d) ?k/k 3/2-1/2
- Q Determine the vector projection of vector (-4, 0, 7) onto vector (2, -1, 5).
- Q If a ball is thrown straight up with a speed of 68 ft/s, its height at time t (inseconds) is given by h(t)=-8t+68t+5. Use graphing technology to determine the following...
- Q Use technology to obtain approximate solutions graphically. All solutions should be accurate to one decimal place. (Zoom in for improved accuracy.) Find the intersection of the line through (0, 1)...
- Q Evaluate ?z dV where E is the region between the spheres x + y + z = 4 andx + y + z =25 and inside z = -? (1/3)x...
- Q Here are the percents of the popular vote won by each successful candidatein 15 presidential elections.49.6, 55.1, 57.4, 49.7, 61.1, 43.4, 60.7, 50.1, 50.7, 58.8, 53.9, 43.2, 49.2, 47.9, 51.2What...
- Q Graph the line 2x - y = 4 and find the y intercept and the x intercept.
- Q Determine the domain and range of the function f(x) = log? (x) - 2.Select the correct answer below:a) Domain: (-?, 0); Range: (-?, ?)b) Domain: (0,? ); Range: (-?, ?)c)...
- Q Given u=8i+(m)j22k and v=2i?(3m)j+(m)k, find the value(s) for m such that the said two vectors are perpendicular.
- Q Use the formula A = P(1+r)? to find the rate r at which $5000 compounded annually grows to $6050 in 2 years.r=(Round to the nearest percent as needed.)
- Q Find the general solution. y" - xy' + y = 0 with a particular solution y(x) = x is given.
- Q A can is in the shape of a right circular cylinder. The circumference of the base of the can is 12 inches, and the height of the can is 5...
- Q A person walks 4 km north, 1 km east, 4 km north, and then 5 km east. "As the crow flies," how far is the person from the starting point?
- Q The population of a town of 32, 000 people is expected to grow exponentially at a rate of 1.7% per year. Estimate the population in 4 years' time. Round to...
- Q Evaluate the piecewise defined function at the indicated values.f(x)={4 if x ? 2 2x-5 if x >2f(-3) = ?f(0) =?f(2)=?f(3)=?f(5)=?
- Q Riley works at a coffee shop, where an 8-oz cup of coffee costs $3, a 15-oz cup costs $4, and a 20-oz cup costs $5. During one busy period, Riley...
- Q Giving that X?.X?..., X are N random variable with expectation value X?X?...XN, respectively. Assuming that fx?x?....xn(x? x? .....xn is the joint density function of N random variables. Find the expectation...
- Q Q4) The table shows various values of functions f(x), g(x), and h(x).x -1 0 1 ...
- Q Find the third-order Fourier approximation to the function f(x) = x on the interval [0,2?].
- Q Complete the following conversions.1) 500 cm = m2) 1400 ft= yd3) 2.8 yd = ft4) 564 m = km5) 2700 cm = ...
- Q Determine a simplified equivalent expression for each using the co function identities. a) sin 5?/4b) cos ?/3c) tan 5?/3
- Q Solve In x = -0.69 for x. Round to the nearest hundredth as needed.Provide your answer below:
- Q Find the domain of the function.f(x)=?(5x-45)The domain is ____.(Type your answer in interval notation.)
- Q xy" (x+1)y' + y =0 with a particular solution y(x) = ex is given.
- Q Find the number of terms in the arithmetic sequence.{5, 12, 19, ..., 327}
- Q Use algebra to show that pk+1(n) ? Pk+1(n ? 1) = Pk(n).Note do not expand Pk+1(n), Pk+1(n-1), and pr(n) have a lot of common factors.
- Q Determine whether the following sequence is arithmetic. If so, find the common difference. (Hint: If it is not an arithmetic sequence, type "N/A" in the box for the commondifference.){4, 6,...
- Q (a) Find the three-digit number that increases by 30% when each of its digits are increased by 1.(b) Show that no three-digit number increases by 40% when each of its...
- Q 8. What is an equivalent trigonometric ratio using c?o?s?i?n?e? for sin 7?/16?
- Q Describe the transformations from the graph of f(x)=3?x to the graph of g(x) below. Then graph the function showing at least 3 exact points.g(x) = (-1/2 )(1?x+1-3)
- Q Numerical solution of ordinary differential equations:Consider the ordinary differential equation:dy/dx = -2x - y, with the initial condition y(0) = 1.15573.Solve the given equation analytically, and plot the results.
- Q Bob says that the domain of a square root function will always be only {xlx ? 0}, but Sally disagrees and says she can prove it graphically. Provide a graph...
- Q Bill has $12,400 in a regular savings account earning 4 2/3% annual interest that is compounded monthly. How much will be in the account at the end of 3 years?Round...
- Q If A in the following options represents area then which of the following is odd ?a) c=a + b - 2abcos8b) A = absin?c)sinA/a=sinb/b=sin C/cd) A = 1/2absin?
- Q Evaluate log? /?(3/5) using the change of base formula. Round to the nearest hundredth as needed.Provide your answer below:
- Q Which of these is an equivalent trigonometric ration for sin 2?/5a) cos(?/10)b) sin(3?/5)c) -cos(9?/10)d) All of the above
- Q Explain why the equation cosx = 3/4 has solutions in all four quadrants. List all those solutions.
- Q A new MP3 player was purchased for 320 and in 1 year it was selling used online for 210. If the value continues to decrease exponentially at this rate, determine...
- Q Evaluate ???8ydV where E is the region between x+y+z=6 and x+y+z=10 in Efront of the triangle in the yz-plane with vertices, in (y,z)...
- Q If the ant colony's population can be modeled by the function, f(x)=(2.5x)+(64), how many ants would you expect to be in the colony after 56 days?2.5 (56) + 64140 +...
- Q Given g(p) =p-2 and h (p) =p +4p-2.What is g(p). h (p)?a) p?+2p - 8p-2p+4b) p?+6p - 8p-2p+4c) p? + 2p - 8p-2p - 4d) p? + 6p - 8p-2p...
- Q Determine the solution for 8+ 2 cot x = 12 in the intervals of 0 ? x ? 90a. 26.6?b. 63.6?c. 0.6?d. 38.4?
- Q You have the functions f(x) = 3x + 1 and g(x) = |x 1|i) Let h(x) = f(x)g(x). Explain why the Product Rule can be used to compute h`(0) but...
- Q Which of the following is NOT a solution to the equation 4 sinx - 1 for 0 ?x ? 2??a. 30b. 210?c. 150?d. 120
- Q Use the function f(x) = -5.2x + $460, which estimates your monthly gas bill given the average temperature, to answer the following questions. How much would you expect to pay...
- Q Solve the equation.4x-8= 12 + 6xx =
- Q With specific examples and detail from the documentary, Flow, explain whether fresh water should be considered a commodity or should access to water be declared a fundamental human right?
- Q If an airplane travels at an average speed of 510 mph, how far does the airplane move in 50 minutes?a) 400 milesc) 500 milesc) 425 milesd) 475 miles
- Q What is the sample space for a 6-sided die?What is the size of the sample space?If you roll the die, what is the probability that you will land on a...
- Q There is a drawing at work for some Sam Smith tickets. There are 15 people that would like to receive tickets for the concert, but there are only 4 tickets....
- Q A wooden bowl artifact carved from oak was found to contain 55% of the carbon-14 normally found in oak. Given that carbon-14 has a half-life of 5, 730 years, estimate...
- Q In 2005, Capital City determined its population, in millions, could be expressed by this function:P(x) = (-.05x )+ (53.7)where x is the number of years after 2005.Which of the following...
- Q Find the surface area of a sphere with a radius of 1.5 ft. Use 3.14 for ?.(Use SA=4?r, but 3.14 for ?)a) 9.42 ft^2b)18.84 ft^2c) 84.78 ft^2
- Q Let f(x) = 7x - 5x+3 and g(x) = 2x + 4x - 6.What is the value of g(x) - f(x)?a) -5x-x-3b) -5x +9x-3c) -5x-x-9d) -5x +9x-9
- Q State the property (or properties) of equations that can be used to solve the following equation, then use the property (or properties) to solve the equation.3x + 25 - 11Which...
- Q By use PDE thought, If it takes a 2 cm long insulated bar 7 minutes to cool down to room temperature, how long does it takes a 6 cm bar...
- Q You are using the numbers 1-8 to create a 5 digit code. Each number can only be used once. How many different codes are possible? (order matters because 12345 is...
- Q 1)During the summer Mary could buy 15 cooling units for $3300. How much will Mary have to spend in order to buy 39 cooling units for her tenement houses?2). John...
- Q On January 1, you invest $1550 into an investment account. On April 1, you withdrew $ 720. On June 1, you invested $2260. On November 1, you invested $730. Determine...
- Q For the given algebraic expression, give the coefficient of each term and give the constant term. 2x? +6x-7
- Q How can knowing the mathematics of ratios and percents be used to help make decisions when shopping?
- Q The monomials that make up a polynomial are called which of the given choices below?Choose the correct answer below.(A) coefficients(B) variables(C) factors(D) terms
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