Math Questions

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 11 meters. a) Graph the depth in the harbour for the first 48 hours.

Which of the following mathematical statements shows "the quotient of a number and six is eight"? X-6=8 X/6=8 Xx6=8

A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the plane traveled 39 miles per hour faster heading west, at what speed was the plane traveling west? (Do not include the units in your response.)

On the axes below, draw the graph of the function f(x) == -4x + 6.

The graph of a line in the xy-plane has slope 2 and contains the point (1,8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b? 4 3 -1 -4

An electrician charges $15 per hour and spends $30 a day on gasoline. At the end of the day, he is left with $105. Represent his earnings for one day using a mathematical statement if he works for "x" hours in a day. 15/+30=105 15x-30 = 105 15x = 105

Three times a number x increased by 8 is 14. Which one of the following equations represents the given statement? 3(x+8)= 14 3 x=8+14 3x+8 = 14

Lily and William are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Lily is 313 miles away from the stadium and William is 334 miles away from the stadium. Lily is driving along the highway at a speed of 44 miles per hour and William is driving at speed of 51 miles per hour. Let L represent Lily's distance, in miles, away from the stadium t hours after noon. Let W represent William's distance, in miles, away from the stadium t hours after noon. Write an equation for each situation, in terms of t, and determine the interval of hours, t, for which Lily is closer to the stadium than William.

You have 1260 feet of fencing to enclose a rectangular garden. What are the length and width of the garden which will maximize the area? Write your two dimensions separated by a comma. For example, if the garden should be 20 feet long by 10 feet wide, write 20,10.

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a standard deviation of 20¢. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs yield a mean cost of 95¢ with a standard deviation of 18¢. Do the data support the claim at the 1% level?

Two times a number x increased by 8 is 20. Which one of the following equations represents this statement? 2 x-8 = 20 2x+8=20 8x+2=20

Find an equation for the line perpendicular to 3x+6y= 54 and goes through the point (1, 3). Write your answer in the form y = mx + b.

Sampling distributions of sample means that come from non-normal populations are approximately normal if the sample size is large enough. True False

Alex needs to make a repair. The part costs $430 and labor is 4 hours at $70 per hour. Sales tax is 8%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $766.80 $744.40

Ella is going to drive a distance of 332 miles each way on a trip. She used 12 gallons of gas going there and 11 gallons returning. What was her gas mileage to the nearest mile for the entire trip? 29 miles per gallon 30 miles per gallon

Douglas needs to make a repair. The part costs $305 and labor is 2 hours at $70 per hour. Sales tax is 6%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $471.70 $463.30

Solve: 3x = 6/7 x = 3/7 x = 21/7 x= 2/7

Solve by completing the square. w²+28w 29 = 0 Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth. W = or w=

According to a poll in 2016, about 10%, percent of Americans said they were "very afraid" of spiders. Suppose that we took random samples of 35 people from this population and computed the proportion of people in each sample who were very afraid of spiders. Which of the following distributions is the best approximation of the sampling distribution of the proportion of people who were very afraid of spiders? approximately normal not approximately normally distributed skewed left skewed right

Graph the function over a two-period interval. Give the period and amplitude. y = 3 cos 2x

It is claimed that the average man can lift 120lbs when working out in the gym. Suppose that we take random samples of 12 men and calculate the mean weight they can lift. What will be the shape of the sampling distribution skewed left skewed right not enough information normal

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h the rock to reach the river? 2.5 sec 3.5 sec 3.8 sec 4.5 sec

Suppose you survey 100 of the 2000 students in your school and find the mean age to be 14.5 years old. The 14.5 represents a parameter standard devation proportion statistic

Jaycee has a stick of length 4.32 m. She joined another stick with the old one. The total length of the stick now is one-fourth of 52 m. What is the length of the stick she has joined? 56.32 m 8.68 m 47.68 m

Chelsea needs to make a repair. The parts cost $30, $270, and $310 and labor is 4 hours at $60 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $892.70 $909.50

The Central Limit Theorem states that means will be normally distributed, even if the population isn't, if you take a sample size greater than or equal to 100 30 40 10

Dale's van gets 21 mpg. He wants to visit his family for the holidays and they live 240 miles away. How much CO2 will Dale produce on his trip? 0.6 pounds of CO2 226.3 pounds of CO2 1.1 pounds of CO2 11.4 pounds of CO2

A grocery store chain has been tracking data on the number of shoppers that use coupons. The data shows that 71% of all shoppers use coupons. 36 times out of 40 these results were considered accurate to within 2.5%. What is the confidence interval? 16 to 20 15.5 to 20.5 .685 to.735 6975 to.7225

How long will it take the bar to reach 99° C? (Round your answer to one decimal place.) sec A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling water. How long will it take the bar to reach 80° C if it is known that its temperature increases 2° during the first second? (The boiling temperature for water is 100° C. Round your answer to one decimal place.) sec

The symbol p, (phat) stands for Confidence Interval Sample Proportion Population Proportion Z score

What are the solutions to x2-5x-14? The x-intercepts are x = -7 and x = -2. The x-intercepts are x = -7 and x = 2. The x-intercepts are x = 7 and x = 2. The x-intercepts are x = 7 and x = -2.

The function A(s) that you wrote to model area is a quadratic function. The shape that a quadratic function forms when graphed is called a parabola. A(x) = 100x-2x 8. Think about the possible areas of the enclosure. a. Is there a maximum area that the enclosure can contain? Explain your reasoning in terms of the graph and in terms of the context. (b. Use technology to determine the maximum of A(s). Describe what the x- and y-coordinates of the maximum represent in this context. Determine the dimensions of the enclosure that will provide the maximum area. Show your work and explain your reasoning.

The measure A, in degrees, of an exterior angle of a regular polygon is related to the number of sides, n,of the polygon by the formula above. If the measure of an exterior angle of a regular polygon is greater than 50º, what is the greatest number of sides it can have? 5 6 7 8

You determine that you need 80 square feet of carpet for your bedroom, but the carpet store needs the measurement in square yards. Choose the value that is closest to your needs. 26.7 square yards 9 square yards 7 square yards 80 square yards

Simplify the following expression by using the power of a power property. Enter your answer in the form a^b. (4³) 5 =

A ball thrown in the air has a height of h (t) = -16t2 + 40t + 5 feet after t seconds. What is the average rate of change for h(t) between t = 0 and t = 2? -8 seconds per seconds 8 feet per second -16 feet per second 16 feet per second

The sum of three consecutive even integers is 36. Find the integers. 8, 10, 12 10, 12, 14 16, 18, 20

Lily is deciding between two truck rental companies. Company A charges an initial fee of $60 for the rental plus $2 per mile driven. Company B charges an initial fee of $95 for the rental plus $1 per mile driven. Let A represent the amount Company A would charge if Lily drives miles, and let B represent the amount Company B would charge if Lily drives x miles. Write an equation for each situation, in terms of x, and determine the interval of miles driven, x, for which Company A is cheaper than Company B.

Solve the cubic equation. x³ +729=0

Evaluate the given expression cd2 where c = 15 and d = 12. 2480 2160 2256

Rachel has 85 crayons which is 37 less than twice Joshua has. Which of the following represents the given situation? 2n* 37= 85 2n+37=85 2 n-37= 85

The length of a small rectangular garden is 3 meters more than its width. If the perimeter of the garden is 34 meters, find its width. 8 m 10 m 7m

Brian needs to make a repair. The parts cost $410 and $210 and labor is 4 hours at $50 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? $863.40 $877.40

Tina needs to make a repair. The part costs $255 and labor is 3 hours at $40 per hour. Sales tax is 7%. Sales tax is charged on the parts but not on the labor. True or False: It cost $398.56 for the repair. True False

A rectangular room has an area of 315 square feet. The length is 6 feet more than the width. Find the dimensions of the room. A. 9 feet, 15 feet B. 15 feet, 21 feet C. 21 feet, 27 feet D. 17 feet, 23 feet

MODELING WITH MATHEMATICS One of the largest sewing machines in the world has a flywheel (which turns as the machine sews) that is 5 feet in diameter. The highest point of the handle at the edge of the flywheel is 9 feet above the ground, and the lowest point is 4 feet. The wheel makes a complete turn every 2 seconds. Write a model for the height h (in feet) of the handle as a function f the time (in seconds) given that the handle is at its lowest point when /=0.

Find the equation of the ellipse with the following properties. Express your answer in standard form. Vertices at (-5, -2) and (-5, 12) Minor axis of length 2

Samples can help in estimating a population mean. Which of the following sample sizes would have the lowest variability in the sampling distribution? 30 300 3 30000

The function H described by H(x)=2.75x+71.48 can be used to estimate the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x cm long. Estimate the height of a woman whose humerus is 33.5 cm long. A. 107.73 cm B. 40.73 cm C. 20.645 cm D. 163.605 cm

Brendan needs to make a repair. The parts cost $120 and $95 and labor is 3 hours at $50 per hour. Sales tax is 6%. Sales tax is charged on the parts but not on the labor. What is the cost for the repair? O $377.90 O $378.90