Answer:
Option b.
Step-by-step explanation:
In a situation of a multicriteria decision problem, the decision-maker can tackle a given situation in at least two alternatives but due to some conflicting objectives, he is unable to choose the best option among the alternatives.
Therefore, in a multicriteria decision problem, <u>the decision-maker must evaluate each alternative with respect to each criterion</u>.
Steps involved in finding square root using division method:
- Group the digits of the number in pairs. You will start pairing from the decimal point and move away from the decimal point. E.g. for 201.64, first pair would be 2, second would be 01, and third would be 64 (see the attachment for visualizing)
- Now start with the first pair, and find the number whose square is equal to or just less than the first pair. So here, since first pair is 2, that number whose square is just less than or equal to 2 is 1. Now divide 2 by 1 , and also put 1 in the quotient.
- After this step, you will have 1 in quotient, and 1 in divisor with remainder of 2 - 1 = 1. Now bring down the next pair to join with the remainder. The resulting number now is 101
- Now, double the number that is there in the quotient (so 1 becomes 2) and use it to determine the new divisor for 101. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 101 (i.e. 2x * x <= 101). So for x = 4, 24 *4 = 96, which is less than 101. Now append this 4 in the quotient. The quotient now become 14. And subtract 96 from 101 to find the remainder. The remainder now is 5
- We have now reached the decimal point in the dividend, so add a decimal point in the quotient
- Now bring down the next pair to join with the remainder. The resulting number now is 564
- Now, double the number that is there in the quotient (so 14 becomes 28) and use it to determine the new divisor for 564. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 564 (i.e. 28x * x <= 564). So for x = 2, 282 *2 = 564. Now append this 2 in the quotient. The quotient now become 14.2. And subtract 564 from 564 to find the remainder. The remainder now is 0. Hence, we have completed the problem, and we have the square root with us
- The square root is the quotient obtained: 14.2
Please refer to the attached image to see how the calculations are done
The equation of this sinusoidal function is either
f(x) = a sin(bx) + c
or
f(x) = a cos(bx) + c
Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.
If the period is π/2, then
2π/b = π/2 ⇒ b = 4
If the maximum value is 10 and the minimum value is -4, then
-4 ≤ a sin(4x) + c ≤ 10
-4 - c ≤ a sin(4x) ≤ 10 - c
-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a
Recall that sin(x) is bounded between -1 and 1. So we must have
-(4 + c)/a = -1 ⇒ a = c + 4
(10 - c)/a = 1 ⇒ a = -c + 10
Combining these equations and eliminating either variable gives
a + a = (c + 4) + (-c + 10) ⇒ 2a = 14 ⇒ a = 7
a - a = (c + 4) - (-c + 10) ⇒ 0 = 2c - 6 ⇒ c = 3
Finally, we have either
f(x) = a sin(bx) + c ⇒ f(0) = c = 3
or
f(x) = a cos(bx) + c ⇒ f(0) = a + c = 3
but the cosine case is impossible since a = 7.
So, the given function has equation
f(x) = 7 sin(4x) + 3
The first person who calculated pi was <span>Archimedes got really close however with the mathematics he had in his time he did not have decimal points nor could he use the number 0. So it has to latter once people recognize 0 as a number and the decimal point that we get what we have today. </span><span />
Answer:
Since you did not list the ratio, i will tell you what to do. say the ration is 5:6, meaning for every 5 teddy bears there are 6 dolls. I would divide 240 by 6, then multiply by 5.