The correct answer would be, Jeremy rides at a greater speed than Kevin.
Step-by-step explanation:
Jeremy rides at a rate of 15 miles per hour
Kevin rides at a rate given in the table
Let Y be the distance traveled by Jeremy
And X be the number of hours
Then for Jeremy:
y/x = 15/1
=> y= 15 x
For Kevin:
(46-23)/(4-2)
= 23/2
= 11.5
So for Kevin, Y = 11.5 x
So when Jeremy's and Kevin's rates are compared,
15 > 11.5
which means Jeremy rides at a greater speed.
Learn more about Time and Distance problem at:
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We can model this situation as a system of linear equation, where n is the number of nickels and q is the number of quarters.
Solving the system of equations, there are 67 nickels and 19 quarters.
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to
.
---> equation (1)
By using pythagoras rule which states that the
---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,
substitute this value in equation (1) then
where A is the area of the square whose side is x
Answer:
If we assume that the bottle is cylindrical and we take the same radius (3.26) of both the bottles (bottles only differ in heights) then the larger bottle will hold approximately 701.14 ml of fluid (the answer says 700ml which is very close)
Step-by-step explanation:
Step 1: Formula of volume of a cylinder is pi*r^2*h
where value of pi is 3.14
r is the radius
h is the height of the bottle (height is different for both bottles)
After putting the values and estimated radius for both as 3.26, we get the volume of the taller bottle.
You can extract the radius by following this method:
Volume of a cylinder = pi*r^2*h (now put the value of the known volume and height of the smaller cylinder)
500 = 3.14 * (r)^2 *15
500/(3.14*15) = r^2
10.616 = r^2
Taking sqrt. on both sides
We get r = 3.26
Now put the same value in the formula of volume with the radius and height. You will get the answer for second bottle.
V= 3.14 * (3.26)^2 *21
V= 701.14 (approx)
Answer:
A
Step-by-step explanation:
The linear model can be assessed by the checking the independent variables having power 1 which shows the linear relationship between x and y. For example, as in the option B, C and D, the power of Xi's is one. Whereas the non linear model has the power for independent variables greater than 1. For example, as in option A the model is a quadratic model because X associated with β2 has a power of a 2.
Thus the nonlinear model can be expressed as
Y = β0 + β1X + (β2X)2 + ε.
