The rule for sequence is:
Step-by-step explanation:
To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence
So
We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.
So,
Here
The common difference is same so the sequence is an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
Putting the values of d and a_1 we get,
Hence,
The rule for sequence is:
Keywords: Functions Rule, Arithmetic sequence
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The answer to (-5)-3 is -8. I may be wrong but I did the work.
Answer:
Lateral area of the smaller cylinder = 33.6
π mm²
Step-by-step explanation:
Circumference of the base of a cylinder is 24π mm . A similar cylinder has a base with circumference of 60π mm. Since we are dealing with the circumference of two similar cylinder we need to know the scale factor.
The square factor can be expressed as follow
Scale factor is the ratio between the larger circumference of the larger cylinder to the circumference of the smaller cylinder.
Scale factor = 60π/24π = 2.5
The lateral area of the larger cylinder = 210π mm².
The scale factor squared is equal to the ratio of the larger cylinder surface area to the smaller cylinder surface area.
Therefore,
2.5² = 210π/a
where
a = surface area of the smaller cylinder
cross multiply
6.25
a = 210π
divide both sides by 6.25
a = 210π/6.25
a = 33.6
π mm²
Lateral area of the smaller cylinder = 33.6
π mm²
Let us start with the time it takes for 1 gallon of gas to be dispensed. If ½ gallon takes 3 ¼ seconds, it will take double of that time for one gallon of gas. Double of 3 <span>¼</span> seconds is 6 1/8 seconds. Unit rate is 1 gallon of gas at every 6 1/8 seconds If one gallon of gas takes 6 1/8 seconds, 50 gallons will take 50 x 6 1/8 seconds. That is, 325 seconds or 5 minutes ans and 25 seconds.
Answer:
Pretty sure it's 21 degrees.
Step-by-step explanation:
Hope I helped!! :)
Sorry if it's wrong! :(
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