Answer:
156.95
Step-by-step explanation:
length x width x height
f(x) = -xcos3x
Answer:
Step-by-step explanation:
Use the Product Rule for derivatives, which states that:
In the function we are given, , we can break it up into two factors: -x is being multiplied by cos3x.
Now, we have the factors:
Before using the product rule, let's find the derivative of cos3x using the chain rule and the power rule.
Now let's apply the product rule to f(x) = -xcos3x.
Simplify this equation.
Multiply x and 3 together and remove the parentheses.
Therefore, this is the derivative of the function .
Hi there!
Given :
Triangle RST has the vertices R(2, 3), S(-2, 1), and T(-1, 5).
To Find :
The coordinates after the two transformations:
a) Translation (x, y) --> (x - 2, y - 1) .
b) Rotation: 90 degrees counterclockwise at the origin.
Solution :
Applying transition a) , we get :
R'(2-2,3-1) , S'(-2-2,1-1) , T'(-1-2,5-1)
R'( 0, 2) , S'( -4 , 0), T'( -3, 4)
Now , When any point ( h , k ) is rotated 90° counterclockwise about the origin, the new points are (-k , h) .
So , R''( -2, 0) , S''( 0, -4 ) , T''( -4 , -3 ) .
Therefore , the coordinates after transformations are
( -2, 0) ,( 0, -4 ) , ( -4 ,-3 ) .
Hence , this is the required solution .
Answer:
Step-by-step explanation:
100 gallons/5hours = 20 gallons/hour
Answer:
y = -3
Step-by-step explanation:
Each side of an equilateral triangle will have a length that is 1/3 the perimeter. This triangle has sides of length 21/3 = 7, so ...
y + 10 = 7
y = 7 - 10
y = -3
This is consistent with the other given side measure ...
y^2 -2 = (-3)^2 -2 = 9 -2 = 7
(0, −5)
(3, −1)
(1, −2)
(0, 1)
(−1, 1)
Answer:
(0,-5) , (1,-2) , (0,1) and (-1,1)
Step-by-step explanation:
-2x + y ≥ -4
y ≥ 2x - 4
Taking a point (0,-5):
-5 ≥ 0 - 4 , 5 ≥ -4
This situation is true.
Taking a point (3,-1):
-1 ≥ 2(3) - 4 , -1 ≥ 2
This situation is not true.
Taking a situation (1,-2):
-2 ≥ 2(1) - 4 , -2 ≥ -2
This situation is true.
Taking a point (0,1):
1 ≥ 0 - 4 , 1 ≥ -4
This situation is true.
Taking a point (-1,1):
1 ≥ 2(-1) - 4 , 1 ≥ -6
This situation is true.
The correct answers are
(−1, −1)
(5, −12)
(0, 1)
Have a nice day!
Answer:
It measures the probability of observing your test statistic, assuming the null hypothesis is true.
Step-by-step explanation:
The p-value, also known as the probability value measures the probability of observing your test statistic, assuming the null hypothesis is true.
A low p-value means a higher chance of the null hypothesis to be true.
It lies between 0 and 1. A small p-value indicates fewer chances of the null hypothesis to be true.