The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solution
To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
29.) This is simply interpreting the linear function.
The function:
96+2.1x
a.) The 96 is what you start with from the beginning. So, we know Rachel weighed 96 ounces when she was born.
b.) Again, interpretation. The 2.1 is the slope, or the change in the line. So we know that Rachel gains 2.1 ounces each day.
30.) For this one, you just have to plug 9 into the equation for x.
Answer:
Which statement best explains how enzymes speed up a chemical reaction?
Enzymes add heat to a chemical reaction.
Enzymes lower the activation energy of a chemical reaction.
Enzymes remove heat from a chemical reaction.
Enzymes are not changed as a result of a chemical reaction.
Step-by-step explanation:
The answer is y=-2/3+2 because the line crosses at 2, which is the y-intercept. It goes down two times and runs three times making the slope -2/3.
Answer:
The vertical line test is a visual test used to determine whether or not a graph is a function. To perform this test, simply draw a straight vertical line multiple times on different parts of the graph.
If a vertical line intersects with the graph at one point, then it's a function.
If a vertical line intersects with the graph at multiple points, then it's not a function.
Examples: