Step-by-step explanation:
Solution
According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)
f(x)=5x3+2x2−6x+12
f(−2)=5(−2)3+2(−2)2−6(−2)+12
=5×−8+2×4+12+12
=−40+32=−8
∴ Remainder=−8
Answer:
Cot(theta) = - 0.75 or -3/4
Step-by-step explanation:
The hypotenuse is 5
The y value is 4
We need to find the corresponding x value.
x^2 + y^2 = z^2
X = ?
y = 4
z = 5
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 9
Now in this case, you are in quadrant 2, so the x value is - 3
sqrt(x^2) = sqrt(9)
x = - 3
The cot value is the adjacent (x value) / the opposite ( y ) value
Cot(theta) = -3/4
cot(theta) = -0.75
we are given in the problem the number of hours Peter has played for video games. In this case, f(x) is the number of hours of playing with x as the number of weeks of playing. In this case, the equation f(x) = 5x.
Answer:
tan 10 degrees.
Step-by-step explanation:
tan x = cot (90 - x) so:
cot 80 = cot (90 - 10)
= tan 10.
Answer:
Step-by-step explanation:
Given that a bag contains 40 cards numbered 1 through 40 that are either red or blue. A card is drawn at random and placed back in the bag.
This is done four times. Two red cards are drawn, numbered 31 and 19, and two blue cards are drawn, numbered 22 and 7.
From the above we cannot conclude that red cards and even numbers are mutually exclusive
Just drawing two red cards and because the two happen to be odd we cannot generalize the red cards have odd numbers.
This might have occurred due to simple chance from a comparatively large number of 40 cards.
Suppose say we have red cards 20, and 19 red 1 blue.
Then drawing 2 from 19 red cards have more probability and this can occur by chance.
So friend's conclusion is wrong.
