How do i do thisneed help if you could do it for me that would be great
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Answer:
1. Juan's marathon training schedule is an example of a geometric sequence
2. Lizzy's marathon training schedule is an example of an arithmetic sequence
3. Lizzy will be better prepared for the marathon
Step-by-step explanation:
In the arithmetic sequence there is a common difference between each two consecutive terms
In the geometric sequence there is a common ratio between each two consecutive terms
Juan's Schedule
∵ Juan's will run one mile on the first day of the week
∴ = 1
∵ He will double the amount he runs each day for the next
6 days
- That means he multiplies each day by 2 to find how many miles
he will run next day
∴ = 1 × 2 = 2 miles
∴ = 2 × 2 = 4 miles
∴ = 4 × 2 = 8 miles
∴ = 8 × 2 = 16 miles
∴ = 16 × 2 = 32 miles
∴ = 32 × 2 = 64 miles
That means there is a common ratio 2 between each two consecutive days
1. Juan's marathon training schedule is an example of a geometric sequence
Lizzy's Schedule
∵ Lizzy's will run 10 miles on the first day of the week
∴ = 10
∵ She will increase the amount she runs by 3 miles each day for
the next six days
- That means she adds each day by 3 to find how many miles
she will run next day
∴ = 10 + 3 = 13 miles
∴ = 13 + 3 = 16 miles
∴ = 16 + 3 = 19 miles
∴ = 19 + 3 = 22 miles
∴ = 22 + 3 = 25 miles
∴ = 25 × 3 = 28 miles
That means there is a common difference 3 between each two consecutive days
2. Lizzy's marathon training schedule is an example of an arithmetic sequence
The rule of the sum of nth term in the geometric sequence is
∵ = 1 , r = 2 and n = 7
∴
∴ = 127
∴ Juan will run 127 miles in the final week
The rule of the sum of nth term in the arithmetic sequence is
∵ n = 7, = 10 and
= 28
∴
∴ = 133
∴ Lizzy will run 133 miles in the final week
∵ 133 miles > 127 miles
∴ Lizzy will run more miles than Juan
3. Lizzy will be better prepared for the marathon
<h3>Answer:</h3>
301.6 cubic meters
<h3>Step-by-step explanation:</h3>A cylinder is a shape with straight sides with circular or oval cross-sections. We know that the cylinder in the question must be a circular cylinder due to its radius description.
Volume Formula
A circular cylinder has a volume of . In this equation, V is the volume, r is the radius, and h is the height. The question tells us that r=4m and h=6m. So, we can plug these values into the formula.
Solving for Volume
To solve plug the values into the formula and rewrite the equation.
Next, apply the exponents.
Then, multiply the constants.
Finally, multiply the remaining terms. Remember to use the pi button on the calculator and not an estimation to get a more exact value.
Make sure your answer is rounded to the correct digit. This means that the volume must be 301.6 cubic meters.