Sequences & Series Questions and Answers

Calculate 6-3/4% tax on $2,305. a $15.56 b. $145.22 C. $146.14 d. $155.59

Describe the translation from the parent function y = x². y = (x - 2)² . y = (x + 2)2 y = x² + 2 y = x² - 2 y = 2x²

According to the Health, United States, 2016 Report by the Center for Disease Control (CDC), the life expectancy at birth, Y, for all sexes in the United States can be approximated by y = 0.1584x + 72.81, where X is the years after 1975. According to this model, in what year is the average life expectancy of a person born in the United States 80 years? Round to the nearest year.

Select each number that is a solution of the inequality. x < -1 Select one or more answers and submit. For keyboard navigation... SHOW MORE Multiple answers: Multiple answers are accepted for this question -1.75 -1.01 -0.99 -10 -1

Use mental math to approximate what a 15% tip would be for a bill of $31.99. a. $3.20 b. $4.80 c. $5.60 d. $6.40

Dan has grades of 74, 78, 80 on his first three algebra tests. What minimum score does he need to make on his fourth test so that his test average is at least an 80?

Lamar's tuition and fees for the fall semester are $2406. The total fees for the semester are $1026. If Lamar registered for 15 credit-hours, what is the charge per credit hour? Do not include a dollar sign in your answer.

Simplify the radical expression. √75 √37.5 5√3 6√3 √25

Select each statement that is true. Select one or more answers and submit. For keyboard navigation... SHOW M Multiple answers: Multiple answers are accepted for this question The statement "X is no more than 5" is written as X < 5. The statement "X is at most 9" is written as X < 9. The statement "X is at least 6" is written as X > -6. The statement "X is no less than 10" is written as X > 10.

For his mobile phone service, John pays a monthly fee of $40 plus $15 for each 1 GB of data (rounded up) over his 8 GB of data that comes with his plan. For his monthly charge before taxes to be at most $70, how many gigabytes of data can he use in a month? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a John can use at least 2 GB of additional data. b John can use no more than 2 GB of additional data. C John can use less than 2 GB of additional data. d John can use more than 2 GB of additional data.

Loretta's income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earned the same amount of passive income each month for the entire year, approximately how much per month was it? a. $2,040 b. $2,125 C. $4,730 d. $6,775

A plumber charges a flat fee of $75 to make a house call to a customer. He also charges $50 per hour for labor plus the cost of parts. If parts cost $100 and the plumber's bill totals $212.50, how many hours did the plumber charge for labor? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. 0.5 hr 0.75 hr 1 hr 1.5 hr

How many significant figures in the following numbers? a. 1030.0 b. 02.6 C. 0.0 d. 500000

The mass of three metal cylinders was measured and found to be 170.5 grams A graduated cylinder initially had 60.1 mLs of water. The cylinders were carefully added to the graduated cylinder and the water volume increased to 81.8 mL The volume of the metal cylinders is mL. The density of the metal is A/ g/mL. Give the density to 3 significant figures.

In Canada, the number of new Covid-19 cases reported daily in June are the following: 758, 706, 675, 641, 609, 722, 642, 545, 409, 474. Find the variance of the number of new daily cases in June. Round the answer to two decimal places if needed.

2. Find the factored form. Show your work. 4b² + 1

To earn an A in an algebra course, a student must have a test average of at least 90. Mary has grades of 95, 82, 88 on her first three algebra tests. What minimum score does Mary need to make on her fourth test to earn an A in her algebra course?

Leah plans to purchase merchandise from a department store that is valued at $100. She will use $20 in-store bucks that she has earned plus a 30% discount coupon to reduce her final cost. What is the final cost of the items (before tax) if the store clerk applies the $20 bucks before the 30% discount?

Select each number that is a solution of the inequality. X>-5 Multiple answers: Multiple answers are accepted for this question Select one or more answers and submit. For keyboard navigation... SHOW MORE -4 -5 -5.99 -5.01 -4.99

Give two solutions to the system of inequalities (your answers should be of the form (x,y)) y < 2x - 3 5x + 2y > 10

For the given function, find f(x) = 2x² +6 f(x+h)-f(x)/h

For the function, f(x) = − 4x +7, complete parts a through c. -a) f(x + h) = - 4x - 4h+7 (Simplify your answer.) b) f(x+h)-f(x) = -4h (Simplify your answer.) f(x+h)-f(x)/h (Simplify your answer.)

What are the intercepts of the equation? Choose all that apply. -3x + 4y = - 12 Select one or more: a. (-12, 0) b. (0, -3) c. (0,4) d. (-3,0) e (4,0) f (0, -12)

A block of wood measures 5.00 cm by 7.64 cm by 1.95 cm. The volume of the block is Give your answer to 3 significant figures. The block has a mass of 53.587grams. The density of the block is A/ g/cm³.

Solve for x and check your answer. (a) log₂ (x - 7) = 2 x= No solution (b) log(x+72) = 2 x= No solution (c) log₂x + log₂ (x − 1) = 1 x= No solution (d) log5 x - log5 (x + 4) = 2 x= No solution

In a computation with Euler's method, the following results are obtained with various step sizes: h=2-² 2.44141 h=2-3 2.56578 Compute a better value by extrapolation. Created with h=2-4 2.63793

Select the true statement. Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a When the same negative number is added to each side of a linear inequality, the inequality symbol must be reversed... b When the same number is subtracted from each side of a linear inequality, the inequality symbol must be reversed. c When each side of a linear inequality is multiplied or divided by the same positive number, the inequality symbol must be reversed. d When each side of a linear inequality is multiplied or divided by the same negative number, the inequality symbol must be reversed.

Given the function f(x) = 1 + 8x², calculate the following values: f(a): f(a+h)= f(a+h)-f(a)/h=

Multiply. 7i (7-6i) 7i (7-6i)= (Type your answer in the form a + b i. Use integers or fractions for any numbers in the expression.)

a-b/2 b, b-c/2 make this a harmonic progression in order to prove this is a geometric progression.

Isabella invests an inheritance of $40500 at 5.5% interest, compounded semi-annually for 10 years. Determine the future value of the investment, to the nearest cent. Determine the accumulated interest, to the nearest cent.

A ball is shot straight upward, with its height, in feet, after t seconds given by the function f(t) = − 16t² + 80t. Find the average velocity of the ball from t = 1 to t=2.5. The average velocity of the ball from t = 1 to t = 2.5 is feet. feet per second. seconds.

Find the exponential function f(x) = Ca whose graph goes through the points (0, 2) and (2,8). a= C =

Let n E N. Use arithmetic in Z₁₁ (that is, use modular arithmetic to prove that 11 divides 33 +10.5".

Using the Law of Sines to solve the triangle if ZA = 42°, ZC = 73°, b = 14 LB is a= C= degrees Assume LA is opposite side a, ZB is opposite side b, and ZC is opposite side c.

Solve the equation and enter the solution set in the blank. (Solution set notation is expressed in the form {p}, where P is the solution of the equation.) 7/10x - 3/5x +1 = 3/2x - 6

Equivalent equations are equations that have the same solution set. These equations are produced when we perform the Integer operation on each side of an equation, with the exception of multiplication by

Emily invested a total of $8500 in two accounts. One pays 7% interest annually; the other pays 4% interest annually. At the end of the year, Emily earned $460 in interest. How much did Emily invest in each account?

Find the domain and range of the function given below: f(x) = 2x + 8 The domain of f(x) is: All real numbers x≥0 The range of f(x) is: y≥8 All real numbers x≤0 x≥2 y≤0 y 20

Using your dice chart page, find the theoretical probability of the event the sum of 7 is NOT rolled (experiment is rolling two six-sided fair dice). A) 5/36 B) 5/18 C) 5/6 D) 1/9

This set of questions pertains to trigonometric functions on the coordinate plane. Examine this information: tan 0 = -and sin 0 <0 a. In which quadrant would be the terminal side? How do you know? 2 sentences please. b. What are the values of x, y and r? How do you know? 3 sentences please. Which 2 trig ratios would be positive? How do you know? 2 sentences please.

Simplify: x¹/5y-7/5(x7/2y-6/5)2/5/x-2y-2/5 Entry Tip: put the numerator and denominator in parenthesis. Also put the exponents in parenthesis. To type type (a)^(1/2)/(b^(2/3)). Be sure to use the preview button and be sure you like the format before you hit submit!

If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: (a) log, 72 = (b) log, 1296 = (c) logb 1 (d) log, 3/log, 8

Given y = 5log,x, which of the following statements is/are true about the function and its graph? I. b>0 III. The x-axis is a horizontal asymptote. IV. The y-axis is a vertical asymptote. Select one: a. I and III only b. I, II, and IV only c. II, III, and IV only d. I only

Find a first-order L²-approximation for the following equations f(x) = sin x 0≤x≤ 1 f(x) = e-3x 0 ≤ x < 00

Which choice is the explicit formula for the following geometric sequence? 0.5, -0.1, 0.02, -0.004, 0.0008, ... A. an= -0.5(0.2)^(n-1) B. an = 0.5(0.2)^n C. an= -0.5(0.3)^(n-1) D. an=-0.5(-0.2)^(n-1) E. an = 0.5(-0.2)^(n-1)

Which recursive sequence would produce the sequence 3, -11, 17, ...? (A) a₁ = 3 and aₙ = -2aₙ-₁ - 3 (B) a₁ = 3 and aₙ = -5aaₙ-₁ - 2 (C) a₁ = 3 and aₙ = -3aₙ -₁ - 2 (D) a₁ = 3 and aₙ = -2aₙ-₁ - 5

Suppose you have a credit card debt of $9000. Last month, the bank charged you $135 interest on the debt. 9000 The solution to the equation 135= 9000/12 rrepresents the annual interest rate on the credit card, r. Find the 12 annual interest rate on the credit card.

Carmen has $30 in store bucks and a 25% discount coupon for a local department store. What maximum dollar amount can Carmen purchase so that after her store bucks and discount are applied, her total is no more than $60 before sales tax? (Note: The 25% discount is applied BEFORE the $30 store bucks.)

Enter the simplified form of the expression in the blank. (Do not enter any spaces in the answer.) 4(3-7x) (2x9) Type your answer and submit