To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
3x - 24 = 81
3x -24 + 24 = 81 +24
3x = 81 + 24
3x = 105
3x/3 = 105 / 3
x = 105 / 3
Answer:
Step-by-step explanation:
To solve for x, we need to get all our constants on one side of the equal sign and all our variables on the other side of the equal sign.
Therefore, the answer is:
To find the value of 4x + 3y, the given equation can be solved by clearing the fractions and simplifying the expression. The value of 4x + 3y is 30.
To find the value of 4x + 3y, we need to first solve the given equation for either x or y. Let's solve the equation for x:
2/3x + 1/2y = 5
Multiplying both sides of the equation by 6 to clear the fractions gives us:
4x + 3y = 30
Therefore, the value of 4x + 3y is 30.
#SPJ11
OB. $207.20
C. $224.60
OD. $212.50
To calculate how much money Jose made from selling his shares, we need to know the number of shares he sold.
To calculate the amount of money Jose made, we need to know the number of shares he sold. Let's say he sold x number of shares. Since he sold all of his shares at $128.34 per share, the total amount of money he made can be calculated by multiplying the price per share by the number of shares: $128.34 * x = total amount made. Without knowing the number of shares, we cannot determine the exact amount Jose made.
Rewrite as
and recall that for , we have
so that for , or ,
Then the radius of convergence is 2.
The Taylor series for the function f(x) = 10/x, centered at a = -2, is given by the formula ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence (R) for the series is ∞, which means the series converges for all real numbers x.
Given the function f(x) = 10/x, we're asked to find the Taylor series centered at a = -2. A Taylor series of a function is a series representation which can be found using the formula f(a) + f'(a)(x-a)/1! + f''(a)(x-a)^2/2! + .... For f(x) = 10/x, the Taylor series centered at a = -2 will be ∑(10(-1)^n*n!(x + 2)^n)/n! from n=0 to ∞. The radius of convergence R is determined by the limit as n approaches infinity of the absolute value of the ratio of the nth term and the (n+1)th term. This results in R = ∞, indicating the series converges for all real numbers x.
#SPJ3
Answer:
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Step-by-step explanation:
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Is it practical to list all of the different possible routes in order to select the one that is best?
A.
Yes, it is practical to list all of the different possible routes because the number of possible permutations is very small.
B.
Yes, it is practical to list all of the different possible routes because the number of possible permutations is very large.
C.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very small.
D.
No, it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Answer:
P (She selects the route of four specific capitals) =
D. No,it is not practical to list all of the different possible routes because the number of possible permutations is very large.
Step-by-step explanation:
Let's start assuming that each route is equally likely to be chosen.
Assuming this, we can calculate P(A) where the event A is ''She selects the route of four specific capitals'' doing the following :
P(A) = Favourable cases in which the route of four specific capitals is selected / Total number of ways in 4 of 42 states
The favourable cases in which the route of four specific capitals is selected is equal to 1 .
For the denominator we need the permutation number of 4 in 42.
The permutation number is defined as :
The probability of event A is :
Finally for the other question : The option D is the correct because the number of possible permutations is 2686320 and is very large to be listed.