Answer:
a
Step-by-step explanation:
Answer:
Samantha payed 12.71$ for her purchase.
Step-by-step explanation:
I may have misunderstood the question, but it looks like you can use a calculator for this!
6.19 + 2.85 + 2.29 + 1.38 =
12.71
Answer:
a. Maximum= 27, minimum= -5
b. Maximum= 19, minimum=-37
Step-by-step explanation:
We have the function . Since the function correspond to a line, then the maximum and minimum values of the function over an interval are in the endpoints of the interval.
Observe that if the line has negative slope then the minimum value is in the right endpoint. If the line has positive slope the minimum value is in the left endpoint of the interval.
The function f(x) has slope m=8. Then
a. the minimum value of f(x) in the interval [0,4] is reach when x=0, and the minimum is and the maximum is
b. the minimum value of f(x) in the interval [-4,,3] is reach when x=-4, and the minimum is and the maximum is
Answer:
(1,1) and (2,4) are the solutions to the system of equations.
Step-by-step explanation:
The two equations are:
---------1
---------2
Putting value of y from equation 1 in equation 2 we get:
When x=1 :
When x=2
The solutions are (1,1) and (2,4).
Answer: the solutions to the system of equations are x = 2 and x = 1
Step-by-step explanation:
The system of equations given equation is
y = 3x - 2 - - - - - - - - - - 1
y = x^2 - - - - - - - - - - - - 2
Substituting 1 into equation 2, it becomes
x^2 = 3x - 2
x^2 - 3x + 2 = 0
We would apply the method of factorization in solving the equation. We will get two numbers such that when added, the result would be - 3x and when multiplied, the result would be 2x^2. The numbers are - 2x and - x. It becomes
x^2 - 2x - x + 2 = 0
x(x - 2) - 1(x - 2) = 0
(x - 2)(x - 1) = 0
x - 2 = 0 or x - 1 = 0
x = 2 or x = 1
.
Answer:
Results of the original study are inconclusive
Step-by-step explanation:
A probability of 0.512 that the results obtained in the controlled sample could be obtained by chance, means that it is more likely than not ( P>0.50) to get this results by chance. What this means is that the results of the original study linking brain cancer development to cell phone use are inconclusive.
39. Each is a multiple of 12.
Since they are multiples if 12
The possibilities are
12, 12, 156
12,24,144
12,36,132
12,48,120
12,60,108
12,72,96
12,84,84
24,24,132
24,36,120
24,48,108
24,60,96
24,72,84
36,36,108
36,48,96
36,60,84
36,72,72
48,48,84
48,60,72
60,60,60
Hence the probability is 1/19 or 0.0526
An equiangular triangle has all angles equal to 60 degrees. A triangle with angles that are multiples of 12 can be equiangular triangle only if each angle is 60 degrees. The probability of this is low due to multiple possibilities of multiple of 12.
In mathematics, a triangle is defined as equiangular if all its angles are equal. For a triangle to be equiangular, each angle must measure 60 degrees because the sum of all angles in a triangle is always 180 degrees.
Note, if each angle of a triangle is a multiple of 12, the only way it can be an equiangular triangle is if each angle measures 60 degrees (which is indeed a multiple of 12). Therefore, for a triangle with angles that are multiples of 12 to be an equiangular triangle, each angle must be 60 degrees.
However, multiple possibilities exist for angles of a triangle that are a multiple of 12, for instance, 12, 72, 96 or 24, 36, 120 etc. Therefore the probability that randomly picked triangle with the given condition is equiangular is relatively very low.
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As given by the question
There are given that the inside edge is 4 in.
Now,
Since sphere fits snugly inside a cube therefore diameter of sphere will be equal to side of the cube
So,
Then,
Volume of the sphere is given by:
And,
The volume of a cube is:
Then,
The volume of the space between the sphere and cube = 64-33.5 = 30.5.
Hence, the answer is 30.5 cube inches.