10 is a solution to 3x + 1 = 10 because x equals 3
Answer:
4
Step-by-step explanation:
Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.
Now that we have converted the words into math, we are really solving 240 ÷ 60 or
.
240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.
Solving:
24 ÷ 6 = 4.
Thus, our answer is that it will take Charlie 4 hours to get to Dallas.
The d value is going to be -3 because you have to compute the differences of all the adjacent terms. 2-5=-3 -1-2=-3 -4-(-1)=-3 -7-(-4)=-3 The difference between all the adjacent terms is the same and equal to -3
A) The first step needs 100 bricks, the second needs 98, the third needs 96, and so on. Therefore the number of bricks for the nth step is: a_n = a_1 + d(n-1), where a_1 = 100 (the first term), d = -2 (difference).
a_n = 100 - 2(n-1) = 102 - 2n, and for the 30th step, a_30 = 102 - 2*30 = 42. So the top step will need 42 bricks.
b) The total staircase will need: 100 + 98 + 96 + ... + 44 + 42, and there are n = 30 terms. Using the formula for the sum of an arithmetic sequence:
S = (a_1 + a_n)*n/2 = (100 + 42)*30/2 = 2130
Therefore, 2130 bricks are required to build the entire staircase.
Answer:
The statement is false.
Step-by-step explanation:
If the modeling is with multiple variables it is necessary for all the variables to be modeled well such that the criticality of the model is dependent on all the variograms. It is not dependent on the cross variograms only.