Answer:
3/8
Step-by-step explanation:
There are 6 posibilities, if u graph it out, it makes 3/8
That's too little info to determine the height.
(2x+3y)⁴
1) let 2x = a and 3y = b
(a+b)⁴ = a⁴ + a³b + a²b² + ab³ + b⁴
Now let's find the coefficient of each factor using Pascal Triangle
0 | 1
1 | 1 1
2 | 1 2 1
3 | 1 3 3 1
4 | 1 4 6 4 1
0,1,2,3,4,.. represent the exponents of binomials
Since our binomial has a 4th exponents, the coefficients are respectively:
(1)a⁴ + (4)a³b + (6)a²b² + (4)ab³ + (1)b⁴
Now replace a and b by their real values in (1):
2⁴x⁴ +(4)8x³(3y) + (6)(2²x²)(3²y²) + (4)(2x)(3³y³) + (1)(3⁴)(y⁴)
16x⁴ + 96x³y + 216x²y² + 216xy³ + 81y⁴
Answer:
48 cookies were sold in total.
Step-by-step explanation:
5:1 is the ratio of raisin cookies to oatmeal cookies, and 40 raisin cookies were sold. Meaning, 40:?.
To find the number of oatmeal cookies you divide 40 by 5, which gets 8. This means that the original ratio is multiplied by 8 to get the current ratio for the amount if cookies. 5(8) : 1(8) = 40:8. There are 40 raisin cookies and 8 oatmeal cookies. 40+8=48. There were 48 cookies sold in total.
Answer:
The marginal cost at the given production level is $49.9.
Step-by-step explanation:
The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).
We have that the cost function is given by
So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.
When x = 100, the marginal cost is
