Sequences & Series Questions and Answers

Evaluate 3 2 5 4 3 8 5 16 3 32 5 64

The graph of a function fis given Let a 1 0 a Estimate b Estimate 1 10 f 6 f x dx using four subintervals with right endpoi 4 78 8 f x dx using four subintervals with left endpoint c Estimate f x dx using four subintervals with midpoints

Find the amount of the payment to be made into a sinking fund so that enough will be present to accumulate the following amount Payments are made at the end of each period 95 000 money earns 4 compounded semiannually for 3 years The payment size is Do not round until the final answer Then round to the nearest cent

creasing 4 ecreasing 200 150 100 2 50 boi 100 150 200 250 the complete graph of the function is shown estimate the intervals where the function is increasing or decreasing Enter your answers using interval notatic 2

1 point A cable hangs between two poles of equal height and 37 feet apart At a point on the ground directly under the cable and feet from the point on the ground halfway between the poles the height of the cable in feet is The cable weighs 11 3 pounds per linear foot Find the weight of the cable h x 10 0 3 5 HINT The limits for the problem should be 18 5 to 18 5 but the 18 5 would place a negative number under a square root So take adva the symmetry use the limite 0 to 18 5 and double your answer

The discussion question has 6 parts and all parts will count toward your overall score for this discussion. You may copy and then paste the question in the post. Then enter your answers at the end of each question. 1. Explain why the ordered pairs (2,7) and (7,2) do not represent the same point of a graph. 2. The equation x + y = 10 has how many ordered-pair solutions? 3. Is the point (-2, 5) a solution to the equation 2x + 5y = 0? Why or why not? 4. The equation y = b is referred to in general, what kind of line? 5. Can you find the slope of the line passing through (5, -12) and (5, -6)? Why or why not? 6. Find the equation of the line that fits the description: passes through (7,-5) and has zero slope.

The domain of a one-to-one function f is [7,00), and its range is [-3,00). State the domain and the range of f-1.

The dimensions of a rectangular prism are 12 cm x 15 cm x 18 cm. If the dimensions of the rectangular prism are increased by 3, then find the volume of the new prism. 5,670 cm 3,240 cm 3 2,670 cm

Find the volume and surface area of a triangular prism whose base area is 24 cm² and height is 7 cm. The sides of the base triangle are 6 cm, 8 cm, and 10 cm, respectively. Volume = 285 cm³; Surface area = 278 cm² Volume = 185 cm³; Surface area = 178 cm² Volume 168 cm³; Surface area = 216 cm²

The surface area of a cube is 84 square cm. What would be the side length of the cube? 3.74 cm 3.5 cm 14 cm

In a zoo, the ratio of adults to children is 12 to 5. If there are 153 people in the zoo, how many children are there?

Simplify the following quotient as much as possible using the power of a exponents. Select the correct answer below:

A series is a sum of a number of expressions. True False

Consider the following linear equation. y = 7+x Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Find the area of a triangle with base 10 cm and height 5 cm. 25 sq.cm 50 sq.cm 30 sq.cm

Craig purchases a bowl of circumference 43.96 cm. What is the area of the bowl? 112.8 cm² 153.9 cm² 215.4 cm²

The roof of a house is in the shape of parallelogram with base 8 feet and height 6 feet. Find the area of the roof. 14 sq. feet 48 sq. feet 24 sq. feet

The reflecting dish of a parabolic microphone has a cross-section in the shape of a parabola. The microphone itself is placed on the focus of the parabola. If the parabola is 24 inches wide and 9 inches deep, how far from the vertex should the microphone be placed? 6 inches 8 inches 16 inches 4 inches

Skip designs tracks for amusement park rides. For a new design, the track will be elliptical. If the ellipse is placed on a large coordinate grid with its center at (0, 0), the + = 1 models the path of the track. The units are given in yards. How long is the major axis of the track? Explain how you found the distance.

two planes leave simultaneously from an airport and fly stright paths one plane travels south at 400 mph the other travels close to north west at 450 mph three hours later the planes are 2490 miles apart what actual cardinal bearing did the second plane travel?

The diameter of a hula hoop is 36 inches. Find the area enclosed by the hoop in sq. inches. 4069.44 2034.72 1017.36

Castel has homework in four subjects. He is deciding what order to complete them in. Combination; 8 Permutation; 24 Permutation: 12 Combination; 1

A hyperbolic mirror can be used to take panoramic photos, if the camera is pointed toward the mirror with the lens at one focus of the hyperbola. Write the equation of the hyperbola that can be used to model a mirror that has a vertex 4 inches from the center of the hyperbola and a focus 1 inch in front of the surface of the mirror. Assume the mirror has a horizontal transverse axis and the Cyperbola is centered at (0.0).

Find the area in acres of the property if 1 acre =43,560 square feet, the stream frontage is 175 feet in length and the property line is 687 feet in length.

The revenue, R(x), of producing and selling Awesome Hearing Aids is modeled by the function R(x)=2x² +86x How many hearing aids need to be produced and sold in order to maximize the revenue? (Round to the nearest whole number.) The revenue is at a maximum after hearing aids are produced and sold.

There are 270 people at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given? Combination; 18,157 Permutation; 72,630 36,315 Combination; 52,690

Find a formula for the recurrence relation defined by a = a1 +2a-2 with a 3 and a₁ = 5.

The diameter of your bicycle wheel is 24 Inches. How far will you move in one turn of your wheel? 75.36 in. 301.44 in. 150.72 in.

Find all angles, o≤0<360, that satisfy the equation below, to the nearest 10th of a degree. tan (θ) = 5

Using tables, find the point at which the line y = 3x-5 cuts the function f(x) = (x + 1). (5,-10) (0,5) (3,4)

$9, 100 is invested in an account earning 8.1% interest (APR), compounded monthly. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

$8,000 is invested in an account earning 7.9% interest (APR), compounded continuously. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Ken wants to get more exercise so he begins by walking for 20 minutes. Each day for two weeks, he increases the length of time that he walks by 5 minutes. At the end of two weeks, the length of time that he has walked each day is given by the following arithmetic sequence: 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85 The total length of time that Ken has walked in two weeks is the sum of the terms of this arithmetic sequence: 20+ 25 +30 +35+ 40 + 45 + 50 + 55+60 +65 + 70 +75 + 80 +85 This sum is called a series.

Find the area of an acute triangle with a base of 14 Inches and a height of 5 inches. 55 square inches 45 square inches 35 square inches

The graph of the function y=x²-7 is obtained by moving the parent function y = x² 7 units upward from the x-axis 7 units left from the y-axis 7 units downward from the x-axis

Find the slope of the line -3x + 9y = 18.

If the discriminant is 0, then the roots of the quadratic equation are real and equal rational irrational

If the constant 12 of the function y = x² + 12 is changed to -5, how will the new graph differ from the graph of y = x² +12? The new graph is obtained by shifting the old graph 7 units up. The new graph is obtained by shifting the old graph 17 units up. The new graph is obtained by shifting the old graph 17 units down.

$2,900 is invested in an account earning 6.1% interest (APR), compounded quarterly. Write a function showing the value of the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.

Find the area of the parallelogram If the base and height of the parallelogram are 3.2 cm and 15 cm, respectively. 48 sq.cm 18.2 sq.cm O24 sq.cm

Simplify the given expression: 312 x 2 + 19

Paul bought 18 pins for $90. Jack bought 45 pins for $180. Who bought pins at the lowest cost? Jack Paul Paul and Jack

In each triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find tan A if b = 12, c = 14

Find a solution to the equation y=x-4. (-12,8) (12,-8) (12,8)

Once the conclusion is drawn for the hypothesis test, which of the following cannot happen? Type I error may occur. Type Il error may occur. Both errors occur together. Neither errors occur.

How many years will it take for $700 to double if your simple interest rate is 11% ? Round to nearest tenth. 9.2 years 9.6 years 9.1 years 9.5 years

How many years will it take for $200 to double if your simple interest rate is 6% ? Round to nearest tenth.

The mean price of a gallon of milk at various stores is $2.60 with a standard deviation of $0.15. If the cost of milk at Target is 3 standard deviations above the mean, how much does it cost?

A person invested $4, 300 in an account growing at a rate allowing the money to double every 12 years. Write a function showing the amount of money in the account after t years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent.

Use interval notation and U to express the following: The set of all numbers less than or equal to -8 or greater than or equal to 2. (-∞, -8) U (2, ∞) (-∞, -8) U [2, ∞) (-∞, -8]U (2,00) (-∞, -8] U [2, ∞)