Math Questions

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. What is the height of the pole? (1) 12 ft (2) 12/3ft (3) 18 ft (4) 18/2 ft

Bette tells Marv that she is thinking of the simplified solution of a linear equation that has an infinite number of solutions. If x represents a variable, and a and b represent two different numbers, which could be the simplified form Bette is thinking of? x=a a=a b=a x=b

Find the LCD for the list of rational expressions. 9x + 1/x²+5x-6, 5x/x²+4x-5 The LCD is ______

Kurtis had purchased a renters insurance policy for his new apartment at an annual premium of $588.00. The items covered in the policy included a bicycle kept locked to the railing in front of the apartment. When the bicycle was stolen, the insurance company covered the replacement cost of the bicycle, but told Kurtis that, because of the loss, his premium would increase by 35% if he wished to continue with the policy. What would Kurtis' new annual premium be if he chose to keep the policy. (1) $36.75 (2) $66.15 (3) $441.00 (4) $793.80

What is the unfilled volume inside the cylinder? A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. (A) 320π cubic units (B) 597π cubic units (C) 640π cubic units (D) 725π cubic units

You give up a full-time salary of $45,000 a year to go to school for 2 years. The total cost of going to school is $30,000. If you want to be able to recover your investment in 5 years or less, what is the minimum salary you would need to earn upon earning your degree? (1) $51,000 (2) $60,000 (3) $69,000 (4) $75.000

A single strand of spaghetti should be 11 inches long. The employee in charge of the machine that cuts the spaghetti thinks the machine is producing shorter strands. She randomly samples 26 strands of spaghetti and measures them. She calculates a sample mean of 10.87 inches with a sample standard deviation of 0.46 inches. Perform a significance test using a significance level of a = 0.10 and use the result to make a strategic decision. The employee should not adjust the machine that cuts the spaghetti. The employee should set the machine to cut the spaghetti in shorter intervals. The employee should set the machine to cut the spaghetti in longer intervals. The employee should reduce the amount of ingredients used to make each batch of spaghetti.

A brand new filled can of chicken broth is 10 cm tall and has a radius of 10 cm. Mishka uses some of the broth to cook and now the broth left in the can is 6 cm high. How much broth did Mishka use? Round only your final answer to the nearest whole number. (1) 943 cm (2) 1257 cm (3)1885 cm (4) 4712 cm

Analyze the polynomial function f(x)= x^3 + x^2 - 6x (a) Determine the end behavior of the graph of the function.

Find the y-intercept of the parabola. f(x) = -2x^2-12x-10

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water's edge. The equation of her average change in elevation over time is e = 300 - 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?

A store manager timed Janette to see how long it would take her to fold and put away a sweater, a shirt, a pair ofpants, and a scarf. It took her 26.1 seconds for the shirt, 24.3 seconds for the sweater, 32.8 seconds for the pants, and 18.2 seconds for the scarf. What was the average time it took Janette to fold and put away all four items?

You need to use 12 straight pieces of wire to make a frame for a rectangular box with square top and bottom: The wire for the vertical edges costs $8 per meter, while the wire for the horizontal edges of the top and bottom) costs only $4 per meter. The most you can spend to buy the wire is $160 and you want to build a box with the biggest possible

Zina spends 15 hours setting up her sewing machine and making one hat. The total amount of time spent making hats can be represented by the sequence below 1.5, 2.25, 30,3.75. . . Which recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously? (1) f(n + 1) = f(n) + 1.5 (2) f(n + 1) = f(n) + 0.75 (3) f(n+ 1) = 1/2f(n) (4) f(n + 1) = 3/2f(n)

Kyla applied rm · T0.3 to triangle ABC. What mistakes did she make? Check all that apply. (A) She applied the rotation to the triangle first. (B) She applied the reflection to the triangle first. (C) She changed the size of the triangle instead of just applying a translation. (D) She translated the triangle down instead of just applying a reflection. (E) She applied a rotation instead of a reflection.

Let f be a function and let g(x) = f(x + 2) + 3 . Describe how to draw the graph of g using the graph of f. Shift the graph of f left 2 units and down 3 units Shift the graph of f right 2 units and down 3 units Shift the graph of f left 2 units and up 3 units Shift the graph of f right 2 units and up 3 units

Consider the situation below and answer the questions that Follow. San Jose National High School Mathematics Department conducted the Math Camp where students can play Rubik's cube, tangrams, and Sudoku. The Venn diagram below shows the number of students who joined the Camp. 1. How many students joined the Math Camp? 2. How many students played Rubik's cube? 3. If a student is randomly chosen, what is the probability that the student played tangrams or Sudoku? 4. If a student is randomly chosen, what is the probability that the student played Rubik's cube or Sudoku?

Rewrite the rational expression with the given denominator. 19/20y=2/40y^3

Juan saved $1,000 from his summer job cleaning pools. Which of these savings vehicles would work best for him if he doesn't need access to the money for a number of years AND wanted to earn the highest interest rate? (A) Regular savings account (B) Money Market account (C) Checking account (D) Certificate of Deposit

Solve the following logarithmic equation. Express irrational solutions in exact form. log (7x + 6) = 1 + log (x - 1) Rewrite the given equation without logarithms. Do not solve for x. (Do not simplify. Use integers or fractions for any numbers in the equation.)

A pollster took a random sample of 100 students from a large university and computed a confidence interval to estimate the percentage of students who were planning to vote in the upcoming election. The pollster felt that the confidence interval was too wide to provide a precise estimate of the population parameter. What could the pollster have done to produce a narrower confidence interval that would produce a more precise estimate of the percentage of all university students who plan to vote in the upcoming election? A. Increase the sample size to 150. B. Increase the confidence level to 99%. C. Both a and b D. None of the above

Find the solution of the linear inequality and express the solution set in set-builder notation and interval notation. Graph the solution set on the real number line. X+1 <3

NeverReady batteries have engineered a newer, longer-lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. As a class, you randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly, what is the probability of getting a random sample of 30 batteries in which the sample mean lifetime is 16.7 hours or less?

A boat is heading towards a lighthouse, whose beacon light is 115 feet above the water. The boat's crew measures the angle of elevation to the beacon, 6º. What is the ship’s horizontal distance from the lighthouse (and the shore)? Round your answer to the nearest hundredth of a foot if necessary.

In a certain country, the number of deaths due to heart disease increased from 235 in one year to 250 in the next year. What percent increase in deaths due to heart disease does this represent? (Round your answer to two decimal places.)

A condominium is taxed based on its $78,546 value. The tax rate is $3.43 for every $100 of value. If the tax is paid before March 1, 3% of the normal tax is given as a discount. How much tax is paid if the condominium owner takes advantage of the discount?

If f(x) = (x +1)/x-1, find the domain of f. a)all real number greater than 1 b)all real numbers except 1 and -1 c)all real numbers less than -1 d)all real numbers e) all real numbers except 1

Find each probability. Express the result as a decimal rounded to the nearest thousandth and then as a reduced fraction. a). Given P(A) = 0.4 and P(B) = 0.2. If A and B are independent events, what is P(A and B)? b). Given P(A) = 0.3 and P(B|A) = 0.6. If A and B are dependent, what is P(A and B)

Find the area of the rectangle in terms of x. 11x/x-25 feet and x+5 The area of the rectangle is feet².

Use of an aerodynamic helmet on a bicycle increases a cyclist's average speed by 4 miles per time for a 48 mile trip is reduced by 36 minutes. a). Use d = rt and the known information to write 2 equations for the bicycle's trip. One equation will represent the trip without the aerodynamic helmet, and the other equation will represent the trip with the aerodynamic helmet. b). Use substitution to solve the system of 2 equations. What is the average speed for the trip using the aerodynamic helmet?

In order to start a small business, a student takes out a simple interest loan for $5000.00 for 6 months at a rate of 10.50%. a). How much interest must the student pay? b). Find the future value of the loan.

The weight of oranges growing in an orchard is normally distributed with a mean weight of 7.5 oz. and a standard deviation of 1.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 95% of all oranges from this orchard.

Please express the following Roman Numeral as a Hindu-Arabic Numeral: MMMDCCCLXXVII

A television sells for $550. Instead of paying the total amount at the time of the purchase, the same television can be bought by paying $150 down and $50 a month for 14 months. How much is saved by paying the total amount at the time of the purchase? $ __ is saved by paying the total amount at the time of purchase.

Zack is taking inventory of loaves of bread at the grocery store where he works. There are 20 loaves in a full case, and Zack has 3 partially filled cases: 1 case is 1/2 full, 1 case is 1/4 full and 1 case is 2/5 full. How many total loaves of bread are in the 3 partially filled cases? A. 11 B. 16 C. 19 D. 23 E. 30

The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t - 120t^2, where t is in hours, and t=0 is 6am. How many cars pass through the intersection between 6 am and 8 am?

Six refractory anchors must be laid out equal distance apart on a 16-foot slab furnace ceiling. What is the distance (in feet and inches to the nearest 1/8") between any two of the clips? (Hint: draw a picture of this problem.) Note: there will be a clip at both ends of the ceiling.

The table shows the number of cups of water required when cooking different amounts of rice. Which statements apply to the ratio of rice and water? Choose two options. (1)The amount of rice is the dependent value. (2)The amount of water is the dependent value. (3)The amount of rice is the independent value. (4)The amount of water is the independent value. (5)The values cannot be labeled as dependent or independent without a given equation.

Amanda has $21,400 in the bank. The account will earn 1.9% in simple interest for the next 4 years. How much interest will Amanda earn?

A farmer recently purchased her neighbor's farm. Before the purchase, the farmer owned a total of 343 acres of land. After the purchase, she owned a total of 501 acres of land. Determine the percent increase in the number of acres of land owned by the farmer. The number of acres of land owned by the farmer increased by about ____%

A fair die is rolled 6 times. What is the probability of having no 1 and no 2 among the rolls? Round your answer to three decimal places.

If the apprentice wishes to cut a 20-foot section of angle in seven identical lengths, what will the measurements be in fractional inches to the nearest 1/32" (assuming zero loss of metal due to cutting)?

If f(x) = -4|3x - 2| and g(x) = -20, solve the following. (a) f(x) = g(x) (b) f(x) >g(x) (c) f(x) = g(x) (a) Solve f(x) = g(x). Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The solution set is {□ }. (Simplify your answer. Use a comma to separate answers as needed.) B. The solution set is {x| □} . (Simplify your answer. Type a compound inequality.) C. The solution set is {x|x≤□ or x≥□}. (Simplify your answer. Type inequalities.) D. The solution set is the empty set.

Mark borrowed $18,036 to help pay for expenses. If the loan carries an annual interest rate of 4.3% and he wants to be debt free in 2 years by making monthly payments, how much will each payment be?

Write the augmented matrix of the system and use it to solve the system. If the system has an infinite number of solutions, express them in terms of the parameter z. x-10y-35z=3 -5x+11y+58z=-15 x-2y-11x=3 x=________________ y=________________ z=________________

Julio reads that apples contain an average of 6 seeds. He thinks the number of seeds is greater for Granny Smith apples. He randomly samples 20 Granny Smith apples and calculates a sample mean of 6.3 seeds with a standard deviation of 1.42 seeds. Conduct a significance test for the mean with a significance level of α = 0.10 and make a conclusion. -0.945 > -2.093; Julio rejects the null hypothesis. The test suggests that Granny Smith apples have a greater mean number of seeds. -0.945 > -1.328; Julio rejects the null hypothesis. The test suggests that Granny Smith apples have a greater mean number of seeds. 0.945 < 2.093 ; Julio fails to reject the null hypothesis. The test suggests that Granny Smith apples have an average of 6 seeds. 0.945 < 1.328; Julio fails to reject the null hypothesis. The test suggests that Granny Smith apples have an average of 6 seeds.

A sample of 27 television tubes produced by a company showed a mean lifetime of 1138 hours and a standard deviation of 193 hours. Estimate the standard deviation of the population of all television tubes produced by this company. Round your answer to 3 decimal places.

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: x,y) → (-y,x) Step 2: (x,y) → (3x, 3y) a)H"(-2,0) b) HIJK = H'I'J'K' c)H'I'J'K'~H"T")"K" d)J"(6,0) e)y= x is a line of symmetry for the HIJK and H"1"J"K".

The function below gives the cost in dollars to manufacture x items: C (x) = 10,000 + 5x-x^2/10,000 Find the average cost per item over the interval [1,000, 1,010].

In an early essay draft, a student offers the following as his thesis statement: McDonald's new ad campaign for its "Healthy Choices" menu features images of happy children because the restaurant chain is trying to draw attention away from its role in depleting the rainforest. Which of the following represents the most serious problem with the claim here? The claim doesn't address why analyzing the ad campaign matters. The claim doesn't address why readers should care about McDonald's new ad campaign. The claim doesn't offer proof that McDonald's is depleting the rainforest. The claim isn't logical; why would happy children draw attention away from McDonald's environmental role?