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3 years ago

What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?

Mathematics

1 answer:

vaieri [72.5K]3 years ago

3 0

Answer:First three terms: 11,20,29 .

Step-by-step explanation:

Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).

I hope this is right

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What is the volume of a sphere with a diameter of 9 in.?

a_sh-v [17]

Answer: 121.5 in³

Explanation:

$\textnormal{Volume }= \cfrac{4}{3} \pi (4.5)^3 = 121.5 \pi \ in^3$

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3 years ago

Read 2 more answers

You estimate that a jar contains 68 marbles.The actual number of marbles is 60.Find the percent error.Round your answer to the n

Ray Of Light [21]

8/60=13.333% approximately 13%

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3 years ago

the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per

attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0

3 years ago

16.49 rounded to the nearest hundredth

Alexeev081 [22]

Answer:

16.50

Step-by-step explanation:

well 9 is in the hundreth so you want to round to.50 so 16.50 is the answer

for connexus

8 0

3 years ago

A cylindrical tank has a radius of 4 m and a height of 10 m. The tank is filled with water. Find the work needed to pump the top

Gekata [30.6K]

Answer:

$w=2.216*10^{6} J$

Step-by-step explanation:

Data:

r=4m

h=10m

w=? (3 m of water out top of the tank)

g=9.8m/s2

б=1000kg/m3

We must find the work necessary to move 3m of water from the top of the tank, so there is a differential (dy) that represents a small portion of volume for which it is integrated for the total volume to move then it would be the weight for the distance that is the volume to move

dw=weight*(10-y)dy, weight=б*V, , ⇒ weight=б*Vdy*g ⇒ dw=16πg(10-y)dy ⇒

$w=16\alpha \pi g(10y-\frac{y^{2}}{2})$ evaluated between a and b, but a=10 and b=7 (last 3m of the full tank), finally

$w=16\alpha \pi g((100-50)-(70-24.5))\\w=16\alpha \pi g(4.5)=72\alpha \pi g\\w=2.126*10^{6}J$

6 0

3 years ago