Answer:
C. 430
Step-by-step explanation:
length: 11
weight: 5
height (double of weight): 10
2 * (5 * 11 + 10 * 11 + 10 * 5)= 430
Answer:
Option C...726 g
Step-by-step explanation:
Mass of;
sugar = 500g
salt = 120g
lime juice = 106g
mass of mixture = sum of its components
= 500g + 120g + 106g
=726 g
<u>Given</u>:
If you are dealt 4 cards from a shuffled deck of 52 cards.
We need to determine the probability of getting two queens and two kings.
<u>Probability of getting two queens and two kings:</u>
The number of ways of getting two queens is 
The number of ways of getting two kings is 
Total number of cases is 
The probability of getting two queens and two kings is given by

Substituting the values, we get;

Simplifying, we get;



Thus, the probability of getting two queens and two kings is 0.000133
Complicated answer.............
Answer:
a = -6
b = 1
Step-by-step explanation:
The gradient of the tangent to the curve y = ax + bx^3, will be:
dy/dx = a + 3bx²
at (2, -4)
dy/dx = a+3b(2)²
dy/dx = a+12b
Since the gradient at the point is 6, then;
a+12b = 6 ....1
Substitute x = 2 and y = -4 into the original expression
-4 = 2a + 8b
a + 4b = -2 ...2
a+12b = 6 ....1
Subtract
4b - 12b = -2-6
-8b = -8
b = -8/-8
b = 1
Substitute b = 1 into equation 1
Recall from 1 that a+12b = 6
a+12(1) = 6
a = 6 - 12
a = -6
Hence a = -6, b = 1