Basic Math Questions and Answers

Find the standard deviation. Round to one more place than the data. 20, 5, 13, 10, 10, 5, 7, 17, 19 A. 6.2 B. 1.5 C. 5.8 D. 5.5

Convert 5π/6 radians into degrees: Convert 2π/3 radians into degrees: Convert 7π/4 radians into degrees: Convert π radians into degrees:

(b) The distance between Moscow, Russia, and Istanbul, Turkey is 1097 miles. If lines were drawn from Moscow and Istanbul to the center of the earth, those lines would meet at an angle of 15.64°. Use this information to approximate the radius of the earth. Using this information, we can estimate that the radius of the earth is ______miles.

You must decide whether to buy a new car for $22,000 or lease the same car over a three-year period. Under the terms of the lease, you can make a down payment of $1000 and have monthly payments of $150. At the end of the three years, the leased car has a residual value (the amount you pay if you choose to buy the car at the end of the lease period) of $10,000. Assume you can sell the new car at the end of the three years at the same residual value. Is it less expensive to buy or to lease? The cost for buying the car and selling it after three years would be $

Identify each of the following as scientific or pseudo-scientific notation. 3.4 x 10^8 62.3 × 10^4 1.578 x 10^-3 0.45 x 10^-6 5.667 × 10³

Convert 40 in.³3 to cubic decimeters. Round your answer to the nearest thousandth, if necessary.

Fill in the blank. The of a data set is the difference between the largest and smallest data values in the set. The_____of a data set is the difference between the largest and smallest data values in the set.

A grocery store orders 4 large containers of milk for every 7 small containers of milk. Which ratio could represent the number of large containers of milk to small containers of milk in an order from the grocery store? F. 18:21 G 14:8 H 16:49 J None of these

Select all of the valid conditions for proving similarity. Angle-Angle Angle-Side-Angle Side-Side-Side Angle-Side-Side Side-Angle-Side

Suppose the typical texting response time is between 2 seconds and 6 seconds. That could be written as a compound inequality for time t as: 2 < t < 6 seconds. If a car is travelling at 35 mph what is the typical distance a car would travel during a typical texting response? Round values to the nearest whole foot. Express your answer as an inequality using < or >, using d as the variable to represent the distance traveled. feet

Agriculture: Farmers use Fertilizers imported from China and each bag of fertilizer (20 kg) is marked the direction how to use the fertilizer and the unit is given in terms of Kilograms per hectare(kg/ha). In United States it is customary for farmers to use the unit in terms of pounds per acre(lb./A) (1 Lb./ac = 0.892 kg/ha) a) How many bags of fertilizers are needed if the farmer had done cultivation in 20 acres land? Challenge: b) The direction in the bag say 240 grams of fertilizer can be mixed with 1 Liter of water for spraying. How will the U.S. farmer use this direction if he uses Lb. and gallons? (1 U.S. gal =3.79 LB, 100 grams = 0.22 LB)

A 5-ounce container of Greek yogurt contains 135 calories. Find the unit rate of calories per ounce. 27 ounces/ 1 calorie 135 calories / 5 ounces 27 calories /1 ounce 27:1

Convert a person's weight of 202 pounds to kilograms.

Particles A and B are moving along a plane. Their velocities are represented by vectors a and 6, respectively. Which option best describes the meaning of the following statement? ||ā||> ||b|| Choose 1 answer: Particle A is heavier than particle B. Particle A's speed is greater than particle B's speed. Particle A's movement creates a greater counterclockwise angle with the eastward direction than particle B's movement.

A migrating salmon heads in the direction N 45 E, swimming at 5 mi/h relative to the water. The prevailing ocean currents flow due east at 3 mi/h. Find the true velocity of the fish as a vector. Justify your work.

There are 3 more gallons of yellow paint than brown paint. If there are 6 gallons of yellow paint, how many gallons of brown paint are there? 9 gallons 3 gallons 6 gallons 2 gallons

A golf ball is struck across a flat fairway at an angle of 60° with an initial speed of 135ft/s. a.). Write a set of parametric equations for the motion of the golf ball. b.). Determine how long the golf ball was in the air. c.). Determine how far the golf ball traveled in the air.

Gas mileage is rated for either city driving or highway driving. Most of Jenna's travel will take place on the highway. For one trip, she drives 150 miles and the price of gas is $3.67/gallon. Her 4Runner gets 22 miles/gallon. If Jenna rents, she can request a small, fuel-efficient car such as the Hyundai Elantra, which gets 40 miles/gallon. What is the cost of the gas for each vehicle? (Round to the nearest cent) Try the problem on your own first. If you are having trouble after 2 tries, we will break it down. Cost of gas for the 4Runner: $ Cost of gas for the Elantra: $

The physician orders a medication to be administered q8h. The first dose is given at 6:00 a.m. What times will this medication be given throughout the day in military time? a. 0600h - 1300h - 2200h b. 0200h - 1000h - 1800h c. 0800h - 1800h - 2400h O d. 0600h - 1400h - 2200h

You have one type of candy that sells for $2.60/lb and another type of candy that sells for $5.10/lb. You would like to have 15 lbs of a candy mixture that sells for $5.00/lb. How much of each candy will you need to obtain the desired mixture? You will need lbs of the cheaper candy and lbs of the expensive candy.

Fiona is going to jog once around the block she lives on. The block is rectangular, and it is 130 yards long and 200 feet wide. How far will Fiona jog (in feet)? 590 feet 1, 180 feet 393 1/3feet 660 feet

A box contains 30 widgets, 4 of which are defective. If 4 are sold at random, find the probability that (a) all are defective (b) none are defective. A)1/30;2/15 B)1/657720;1/164430 C)2/15;13/15 D)1/27405;2990/5481

Consider the quadratic equation 3x²-2x+10=0. Choose the words or phrases that complete the statement. The discriminant of the equation is .This means the equation has because the discriminant is zero.

The speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 310 miles in the same time it takes the freight train to travel 240 miles. Find the speed of each train. The speed of the passenger train is mph. The speed of the freight train is

Solve y + 3xyz - 2yz = 0 for z z=-y³/(3xy² - 2y) z=-y/(3x - 2y) z=(-y²-2)/3xy z=1/3x

A car's windshield wiper is 10 inches long and rotates through an angle of 60°. If the rubber part of the wiper only covers the last 9 inches of the blade, find the area of the windshield cleaned by the blade.

Multiply (8.1 × 10³) (4.7 × 10¹). Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 - 10¹ Invalid use of a comma.syntax incomplete.

Mr. Wolf throws a basketball vertically upward from a height of 2 m with initial velocity of 25 m/s. a. How long does it take to reach the maximum height? b. What is the maximum height? c. What is the velocity when the basketball hits the ground?

A car rental agency advertised renting a car for $28.95 per day and $0.26 per mile. If Shawn rents this car for 2 days, how many whole miles can he drive on a $150 budget?

Hana walks 12/3 miles to school. After school she walks 1 1/2 miles to work. How many miles does she walk before and after school? 3 1/3 miles 2 5/6 miles 2 3/5 miles 3 1/6 miles

According to the United Nations Office for Outer Space Affairs, in 2016 there were 4, 256 satellites orbiting the planet. Round this number to the nearest ten. 4,300 4,000 4, 260 5,000

Micah is twice as old as Richard. Richard is four times as old as Ken. Ken is six years old. How old is Micah? 48 years old 24 years old 8 years old 12 years old

Write the expression as a function of x, with no angle measure involved. sin(2π/3-x) sin (2π/3-x)-0 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression..

In 2021, Forsyth County in North Carolina had a population of 388,453 with an area of 413 square miles. Rounded to the nearest hundredth, what was Forsyth County's population density in 2021? Hint for review only: Population density Is a measurement of population per unit area. The population density for Forsyth County in 2021 was

You can use prime factorization or the list method to find the greatest common numerical factor. The numerical factors are -49 and -343. Because -1 is a common factor of each coefficient, find the GCF of 49 and 343. Factors of 49: 1, 7, 49 Factors of 343: 1, 7, 49, 343 What is the GCF of 49 and 343? Multiplying the GCF of 49 and 343 by -1 gives the GCF of -49 and -343. What is the GCF of -49 and -343?

Which of the following are true? Select ALL that are true. □ If f(x) has an absolute maximum at a = □ If g" (2) = 0, then a = 2 can be a point of inflection. -3 then f'(-3) must exist and be equal to zero. h(x) = 4x²/3 - 24/3 is concave down on its domain. It is possible for a continuous and decreasing function on a closed interval to have a local minimum.

2) Naya thinks that the inverse of f(x)=x-2 is g(x)=2-x. To justify her answer, she calculates f(2)=0 and then substitutes the output 0 into g to get g(0)=2, which gives back the original input. Show that Naya is incorrect by using other examples from the domain and range of f.

Suppose that a loan of $3000 is given at an interest rate of 13% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. (a) Find the amount owed at the end of 1 year. (b) Find the amount owed at the end of 2 years.

The federal budget in 2012 included $471 billion for Medicare and $47 billion for International Affairs. Complete the statement below that compares the two quantities. The budget of $471 billion for Medicare is about times larger than the $47 billion budget for International Affairs.

The distance between Paris, France, and Rio de Janeiro, Brazil is 5720 miles. If lines were drawn from Paris and Rio to the center of the earth, those lines would meet at an angle of 82.24°. Use this information to approximate the radius of the earth. Using this information, we can estimate that the radius of the earth is miles.

Carlie's stock rose by 1 points in trading today. Let Y represent yesterday's stock price at closing and T represent today's stock price at closing. i) What is a formula that correctly relates Y and T? ii) If yesterday's closing price was 3213, what was today's closing price? 16 i) Y = T + 1² 7 ii) Today's closing price was 33- 16 i) T = Y + 1/² ii) Today's closing pric was 337. 16 i) T = Y + 1²/ ii) Today's closing price was 34. i) Y = T + 1/² ii) Today's closing price was 34 16

11 1 point If the function f (x) = x³ is transformed to f (x) = (x + 5)³ + 2, what will the effect be on the function's graph? The graph will be translated 5 units left and 2 units up The graph will be translated 5 units right and 2 units down The graph will be translated 2 units left and 5 units up The function's graph will be vertically stretched

Mr. Jones is 4 times as old as his son. In 16 years, he will be only twice as old. At the present time, how old is Mr. Jones? O 8 years old O 32 years old O 24 years old 48 years old

A hotel puts out 3 apples for every 1 orange as the fruit for their breakfast buffet. A. Write a ratio of apples compared to all the fruit. B. What percent of the fruit in the breakfast buffet are apples?

This question: 1 point(s) possible Due to random variations in the operation of an automatic hot chocolate machine, not every cup is filled with the same amount of hot chocolate. Assume that the mean amount dispensed is 10 ounces with a standard deviation of 0.8 ounces. What percentage of the cups should have more than 10.8 ounces of hot chocolate? Assume that the given distribution is normal. ties OA. 25% OB. 16% OC. 34% OD. 32%

3 Mary walks the 3 day breast cancer walk. They break the 62-miles evenly for each day. How many miles 4 does she walk in one day? ○ 21¹ miles 4 O 20. miles 11 O 20- miles 12 3 21-miles

During a regular baseball season, Player A hit 22 home runs and was paid an annual salary of $510,000. During the same regular season, Player B hit 25 home runs and was paid an annual salary of $20,000,000. Express the salary of each player as a unit rate in terms of dollars paid to home runs hit. Player A's salary as a unit rate in terms of dollars paid to home runs hit is (Simplify your answer. Round to the nearest dollar as needed. Do not include dollars/home run. home runs/dollar. *****

Change the equation to slope - intercept form (y = mx + b) and show your work and label each step with the correct Properties of Equalities. Given: 6x + 8y = 16 What is the slope - intercept form of the equation (y=mx+b)? What is the slope? What is the y-intercept? Draw the graph of the slope-intercept equation.

Ven because questions can be worth more or less (including zero) depending on your answe Match each number on the left with the correct description of the number on the right. Answer options on the right may be used more than once. - 10 This is an integer. √5 This is a rational number, but not an integer. -5.6 This is an irrational number. 3 1/4 π

A car rental agency advertised renting a car for $27.95 per day and $0.27 per mile. If Kevin rents this car for 2 days, how many whole miles can he drive on a $150 budget? MOCNO miles (Round down to the nearest whole mile.)