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The endpoints of line MP are M(1,4) and P(16,14). If A partitions line MP in a ratio of MA: AP=2: 1, which of the following represents the coordinates of point A?A(6,9)B(7,8)C(11,32/3)D(9,6)
General
8 months ago
1. Suppose a varies jointly with b and c and inversely with d and a = 400 when b = 16, c = 5, and d = 2. Write the equation that models the relationship.(Please show your work so I know how you got your answer and thanks in advance!)
General
8 months ago
What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?R = {-7, -1, 9, 17}R = {1, 7, 9, 17}R = {-17, -9, -1, 17}R = {-7, 1, 9, 17}
General
8 months ago
A can of tuna has a diameter of 4 inches and a height of 3 inches. What is the volume of the can of tuna? (Use 3.14 for π.) 56.52 in.3 150.72 in.3 113.04 in.3 37.68 in.3
General
8 months ago
A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The expression below represents the area of the floor of the building in square meters:(3x + 5)(5x − 1)Which of the following simplified expressions represents the area of the floor of the library building in square meters? 28x − 5 15x2 − 5 15x2 + 28x − 5 15x2 + 22x − 5
General
8 months ago
Suppose that you construct a histogram and a relative frequency histogram corresponding to a particular frequency table. Identify one way the histograms will differ.
General
8 months ago
Franco is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by y^2+6y-3x+3=0 where x and y are modeled in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?
General
8 months ago
The table below shows the weekly change in the price of one gram of gold for four weeks. ONE GRAM OF GOLD Week Weekly Change in the Price (dollars) 1 +1.25 2 3.125 3 +0.625 4 +1.5 By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? Explain how you found your answer. At the end of week 4, the price per gram of gold was $39.28. What was the price per gram of gold at the beginning of week 1
General
8 months ago
PLEASE HELP!!!!!!Which situation is best represented by the graph?A hiker starts out at a steady pace for 1 hour. Then she constantly increases her speed for the next hour. When she reaches the top of the trail, she heads down at a decreasing rate. A hiker starts out a steady pace for 2 hours. Then she constantly decreases her speed for the next hour. When she reaches the top of the trail, she heads down at a decreasing rate. A hiker starts out at a steady pace for 1 hour. Then she constantly decreases her speed for the next hour. When she reaches the top of the trail, she head down at an increasing rate. A hiker starts out walking on a level trail for 1 hours. Th
General
8 months ago
Ivan has just opened a small coffee shop. He paid a copy store 0.10 per copy to make 1428 copies of the flyer to announce the opening of the shop. Ivan is having 14 friends distribute all of the flyers and he is paying them 0.25 for each flyer. He gave each friend the same number of flyers. What is the total amount Ivan is paying each friend to distribute his or her shower of the flyers
General
8 months ago
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats. Show your work.
General
8 months ago
what is half of 16 3/4
General
8 months ago
Mikayla opens a savings account with a principal balance of $3,000. After 5 years, she earns $450 in interest. Using the equation =rt , where = interest, = principal, = rate, and =time. What is the interest rate on Mikayla’s account after 5 years?*Note: Interest rate is given in percent form.
General
8 months ago
A student used 80 ten thousands in the expanded form of the number 6,807,590.Show or explain how 6 hundred thousands, 7 thousands,5 hundred, and 9 tens can or cannot be used to represent 6,807,590.If it cannot be used show how you would correct it and still use 80 thousands
General
8 months ago
A high school basketball court is 25.6 meters long and 15.2 meters wide and has a free throw box 5.8 meters long and 3.7 meters wide. A bouncy ball is thrown onto the court from the top of the bleachers and is equally likely to land anywhere on the court. What is the probability that the ball will bounce on the court but outside of the free throw box? When applicable, round your answer to two decimal places and include all necessary calculations
General
8 months ago
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 30 cm, and the length of the other leg is 26 cm. The student incorrectly says that the length of the hypotenuse is 7.5 cm. Find the length of the hypotenuse of a right triangle to the nearest 10th of a centimeter
General
8 months ago
A fox is traveling at a velocity of 2.7 m/s. 3.5 seconds later it is traveling at a velocity of 4.8 m/s. What is the acceleration of the fox? A. 0.6 m/s² B. 0.75 m/s² C. 0.9 m/s² D. 1.75 m/s²
General
8 months ago
Which statement is false
General
8 months ago
A company manufactures exercise balls for gyms. Type A is a spherical ball with a radius of 12 inches. Type B is a hemisphere that will remain stationary when placed on its base. The radius of the hemisphere is also 12 inches. What is the ratio of the surface area of the sphere to the surface area of the hemisphere?
General
8 months ago
Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixes the two packages together and forms hamburgers that weigh 0.25 pound each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?
General
8 months ago
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