(x^3+2x^2)(x^4)
= (x^3)(x^4)+(2x^2)(x^4)
answer = x^7+2x^6
Cosecant (csc) is defined as the reciprocal of sine, therefore:
.
1/sinx will be undefined when the denominator sinx = 0.
Recalling the unit circle, sinx = 0 at x = 0 ± πn, where n is an integer.
Since the domain x is restricted from (0, 2π), we only consider the values x = 0, x = π, and x = 2π.
Therefore in the domain 0 ≤ x ≤ 2π, y = csc(x) will be undefined at x = 0, x = π, and x = 2π.
The <em>correct answer</em> is:
2 pieces, with 1/12 m left over.
Explanation:
To find the number of 1/3 meter pieces she can cut from a 3/4 meter ribbon, we divide:
3/4÷1/3
To divide fractions, flip the second one and multiply:
3/4×3/1
To multiply fractions, multiply straight across:
(3*3)/(4*1) = 9/4
4 will go into 9 two times with 1 left over, so this simplifies to 2 1/4; this means she can cut 2 pieces this length.
2 pieces that are 1/3 meter long is a total of 2(1/3) = 2/3 m. To find out how much is left, subtract:
3/4 - 2/3
Common denominator is 12:
3/4 = 9/12 and 2/3 = 8/12
9/12 - 8/12 = 1/12
There is 1/12 of a meter left.
Answer:
the probability is 0.12 ( 12%)
Step-by-step explanation:
Defining the following events F= the dollar falls in value against the Japanese yen in the next month and the event R=the supplier will demand renegotiation of the contract , then we can apply conditional probability using the theorem of Bayes :
P(R∩F)=P(F)*P(R/F)
where
P(R∩F)= probability that the supplier will demand renegotiation of the contract and the dollar falls in value against the Japanese yen in the next month
P(R/F) = probability that the supplier will demand renegotiation of the contract if the dollar falls in value against the Japanese yen in the next month
then replacing values
P(R∩F)=P(F)*P(R/F) = 0.2 * 0.6 = 0.12
therefore the probability is 0.12 ( 12%)
