Answer:
The answer is -4x^2
Step-by-step explanation:
-3x^2 - 5x^2 + 4x^2
= -3x^2 + -5x^2 + 4x^2
Combine like terms:
-3x^2 + -5x^2 + 4x^2
(-3x^2 + -5x^2 + 4x^2)
= -4x^2
D is the answer
40050 divided by 3.14 is 12754.77707
Answer:






Step-by-step explanation:
Given

See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:

We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:



When the frequency is to be calculated, we use:


For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:


For roll of 1 where the frequency and the probability are not known, we use:

So:
Frequency(1) added to others must equal 125
This gives:


Collect like terms


The probability is then calculated as:


So, the complete table is:






We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
Answer:
9 inches.
Step-by-step explanation:
The formula for the volume of a rectangular prism is base x height. So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9. Therefore, the height is 9 inches.