• Let a be a 6 × n matrix of rank r and let b be a vector in r6. for each choice of r and n that follows, indicate the possibilities as to the number of solutions one could have for the linear system ax =b. explain your answers. (a) n = 7, r = 5 (b) n = 7, r = 6 (c) n = 5, r = 5 (d) n = 5, r = 4

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  9 months ago

• Picture for the question above

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  9 months ago

• An amusement park charges an entrance fee of $25 plus $3.50 per ride. enter a function to represent this situation. how much would it cost to go to the park and ride 8 rides?

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  9 months ago

• An aquarium is in the shape of a cube. the aquarium can hold between 3375 cubic inches and 5832 cubic inches of water. what are the possible side lengths of the aquarium?

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  9 months ago

• dairy needs 357 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 4% butterfat must be used to obtain the desired 357 gallons?

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  9 months ago

• Find dy/dx by implicit differentiation. x2 − 8xy + y2 = 8

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  9 months ago

• If 3a + 2b = 7 and 2a + 2b = 9 , what is the value of

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  9 months ago

• In the sandwiches, mode select the "cheese sandwich" option and observe the equation given for the preparation of a cheese sandwich. in the equation, set the number of bread slices to "2" and the number of cheese slices to "1." you will see that the product formed by these three ingredients is one cheese sandwich. suppose you have 32 bread slices and 22 cheese slices. how many cheese sandwiches can you make?

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  9 months ago

• While in europe, if you drive 125 km per day, how much money would you spend on gas in one week if gas costs 1.10 euros per liter and your car's gas mileage is 23.0 mi/gal ? assume that 1euro=1.26dollars?

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  9 months ago

• Find the equation of a line that contains the points (-2,-3 and. (0,4). Express the equation in a slope-intercept form.

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  9 months ago

• Kim is sending postcards to her family. Each postcard is rectangular with an area of 12 square inches, and the length is 4 inches more than the width. Find the length and width of each postcard. If x represents the width of each postcard, select all of the equations that could be used to solve this problem.

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  9 months ago

• A group of children and their parents went to an amusement park. There were a total of 40 people in the group. The tickets cost $22 for each adult and $18 for each child. They paid a total of $820 for the tickets. How many adults and how many children are in the group that went to the amusement park? A. 15 adults; 25 children B. 25 adults; 15 children C. 18 adults; 22 children D. 12 adults; 28 children

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  9 months ago

• which of the following are monomials? (check all that apply)

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  9 months ago

• A garden measures 6 feet by 7 feet. A gravel path of constant width is placed around the garden so that the total area is 72 square feet. What is the width of the gravel path? Enter your answer in the box.

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  9 months ago

• which of the following key feature are specific to the graph of a rational function

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  9 months ago

• determine in which direction the parabola opens y=-3x^2+5x+11up downleft right

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  9 months ago

• 3) In which example are the events independent? A) Ariel has a standard deck of 52 cards. She draws one card from the deck and then replaces it. She then draws a second card from the deck. What is the probability that both cards are clubs? B) Alisa has a bag of 10 red and 6 green marbles. She takes one marble out of the bag and does not replace it. She then takes a second marble out of the bag. What is the probability that both marbles are green? C) In a bag of apples there are 4 green apples and 2 red apples. Bethany takes a green apple out of the bag and does not replace it. She then takes another apple out of the bag. What is the probability that the second apple is red? D) In Mrs. Brown's Geometry class there are 15 boys and 10 girls. The students are presenting projects to the class. If Mrs. Brown selects students at random for presentations, what is the probability that the first 2 students chosen are girls?

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  9 months ago

• In two or more complete sentences, explain how to use ordered pairs of points in f(x) = 2x + 5 and g(x)= x-5/2 to determine if f(x) and g(x) are inverses of each other. PLEASE EXPLAIN!

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  9 months ago

• PLEASE HELP! WILL GIVE BRAINLIEST!!Look at the triangle ABC: Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair (4, 5), B at ordered pair (2, 2), and C at ordered pair (4, 2). What is the length of the side AB of the triangle? 3 5 Square root of 6 Square root of 13

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  9 months ago

• A jar of mayonnaise is shaped like a cylinder. The radius of the jar is 1.5 inches and its height is 7 inches. The mayonnaise sells for $0.08 per cubic inch. What is the cost of the jar of mayonnaise? Use 3.14 for pi. Round only your final answer to the nearest penny. Enter your answer in the box.

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  9 months ago