Answer: option B
Step-by-step explanation:
-4, 1, 3
You posted a lot of questions. I'll do the first four problems to get you started.
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Problem 1
This sequence is arithmetic because we add the same amount (4) each time to get the next term. The first term is -2. The first five terms are: -2, 2, 6, 10, 14
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Problem 2
This sequence is geometric. We multiply each term by 1/4 to get the next term. We start with 8 as the first term. The first five terms are 8, 2, 1/2, 1/8, 1/32.
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Problem 3
Similar to problem 1. This time we're adding -19 to each term to get the next one. The starting term is -6. This sequence is arithmetic and the first five terms are -6, -25, -44, -63, -82
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Problem 4
Similar to problem 2. This sequence is geometric with common ratio 2/3. First term is 6. The first five terms are 6, 4, 8/3, 16/9, 32/27
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Answer:
14C + 70B
Step-by-step explanation:
Let us represent:
The number of cans = C
The number of bottles = B
Her truck is filled with cans that weigh 14 ounces each and bottles that weigh 70 ounces each. There is a combined total of 880 cans and bottles in her truck.
The expression for the combined total weight (in ounces) of the cans and bottles in her truck is given as
Total weight in out = 14 × C + 70 × B
= 14C + 70B
When:
C + B = 880
Answer:
Estimations of π/4:
100 points: 0.75
1,000 points: 0.768
10,000 points: 0.7819
Step-by-step explanation:
To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).
We do it for 100 xy points and we get:
Point inside the circle area = 75
Estimation of π/4 = 0.75
We do it for 1,000 xy points and we get:
Point inside the circle area = 768
Estimation of π/4 = 0.768
If we do it fo 10,000 xy points, we get
Point inside the circle area = 768
Estimation of π/4 = 0.768
The value of π/4 (4 decimals) is 0.7854.
The simulation gets more precise with the increase in the number of points.
The spreadsheet and the graphs are attached.
