Answer:
3, 7, & 10, took this test earlier.
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in and solving for height we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.
If you would like to find the width of the frame in feet, you can do this using the following steps:
length * width = area
3 1/8 feet * width = 2 3/4 square feet
25/8 feet * width = 11/4 square feet
25/8 * width = 11/4
width = 11/4 / 25/8
width = 11/4 * 8/25
width = 22/25 = 0.88 feet
The correct result would be 22/25 feet.
Answer: (2, -5) (light blue answer choice)
Solving by substitution
−7x+y=−19;−2x+3y=−19
−7x+y+7x=−19+7x (Add 7x to both sides)
y=7x−19
Step: Substitute7x−19 for y in −2x+3y=−19:
−2x+3y=−19
−2x+3(7x−19)=−19
19x−57=−19 (Simplify both sides of the equation)
19x−57+57=−19+57 (Add 57 to both sides)
19x=38
19x/19 = 38/19 (Divide both sides by 19)
x=2
Step: Substitute 2 for x in y=7x−19:
y=7x−19
y=(7)(2)−19
y= −5 (Simplify both sides of the equation)
Therefore: x = 2 and y = −5
For this case the first thing you should know is that if the coefficient of determination (R) is equal to 1, the graph is totally perfect.
Therefore, the closer the value of R is to one, the mathematical model will be the most appropriate.
We have then:
The coefficient of determination for the linear model was 0.95.
Therefore, the mathematical model must be linear.
Answer:
A model that should be used to represent the data set is:
A linear