The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression
We'll take the first two points P(34,-52) and Q(51,-65) to find
Let's verify if the third point is on the line:
It belongs to the line. To find the y-intercept of the line, we set x to 0
The y-intercept is (0,-26)
Probability=blue marbles/total marbles
Probability=5/10=1/2
If you draw from the bag twice...
Probability = 1/2 x 1/2 = 1/4
answer: 1/4
Answer:
p(x) =2(x-1) ^2-8
Step-by-step explanation:
- Add the same value to both sides
- Add 1 to the expression
- Add 2×1 to the left side
- Simplify factors
- Move constant to the right
- Then calculate
Question:
The probability of a certain brand of battery going dead within 15 hours is 1/3. Noah has a toy that requires 4 of these batteries. He wants to estimate the probability that at least one battery will die before 15 hours are up.1.Noah will simulate the situation by putting marbles in a bag. Drawing one marble from the bag will represent the outcome of one of the batteries in the toy after 15 hours. Red marbles represent a battery that dies before 15 hours are up, and green marbles represent a battery that lasts longer.How many marbles of each color should he put in the bag? Explain your reasoning.
Answer:
The number of marbles of each color that should be present in the bag is;
1 red marble and 2 green marbles
Step-by-step explanation:
Here, we note that the probability of a battery going dead = 1/3 and the
Therefore if the red marbles represent that a battery dies before 15 hours then the probability of picking the red marble should be 1/3. That is if there is only one red marble in the bag, the probability of picking the red will be 1/3 when there are other 2 green batteries in the bag
That is there should be 1 red marble and 2 green marble in the bag.
