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Fed [463]
2 years ago
7

What is the next term in the harmonic sequence 1/11,1/15,1/19,1/23,..?

Mathematics
2 answers:
frutty [35]2 years ago
7 0
The denominators are being added by 4,
11 + 4 = 15
15 + 4 = 19
19 + 4 = 23
The next number should be
23 + 4 =
1/27
kari74 [83]2 years ago
6 0
The next denominator is added by 4.

The next on the series =   1/(23 + 4) = 1/27

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Please answer this correctly
DENIUS [597]

Answer:

The correct answer is

<u>379.94</u> cm^2

Use the equation pir^2 to find the area. If you need to find the radius make sure to divide the diameter my 2

Hope this helps! If u have anymore questions i'd love to help!

- Quinn

4 0
3 years ago
Read 2 more answers
Two printers working together can complete a job in 6 hours. Working alone, one
timama [110]

Answer:

Press A takes 10 hours to do a certain job. So Press A does (1/10)th of the job in an hour.

Press A and Press B, together do (1/2.5) or (4/10)th of the job in an hour.

So Press B does (4/10)-(1/10) = (3/10)th of the job in an hour. So Press B can do the job in (10/3) hours or 3 hour and 20 mins.

Check: A does (1/10)th and B does (3/10)th part of the job in an hour. A and B together will take (1/10)+(3/10) = 4/10th of the job in an hour. So they will complete the job in 10/4 = 2.5 hours. Correct.

Answer: Press B can do the job in 3 hour and 20 mins.

Step-by-step explanation:

6 0
3 years ago
Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2 3 of the way there.
DochEvi [55]

Liza is driving to her sister's house 360 miles away. After 4 hours, Liza is 2/3 of the way there.   How many more hours  does Liza have to drive?

<em><u>Answer:</u></em>

Liza need to drive 2 more hours to reach her sister house

<em><u>Solution:</u></em>

Given that Liza is driving to her sister's house 360 miles away

So total distance = 360 miles

After 4 hours, Liza is 2/3 of the way there.

\frac{2}{3} r d \text { of total distance }=\frac{2}{3} \times 360=240

So Liza has covered 240 miles in 4 hours

Let us find the speed

<em><u>The relation between distance and speed is given as:</u></em>

speed = \frac{distance}{time}

speed = \frac{240}{4} = 60

Thus speed = 60 miles per hour

Assuming speed is same throughout the journey, let us calculate the time taken to complete remaining distance

Remaining distance = 360 - 240 = 120 miles

Now distance = 120 miles and speed = 60 miles per hour

time taken = \frac{distance}{speed}\\\\time taken = \frac{120}{60} = 2

Thus Liza need to drive 2 more hours to reach her sister house

4 0
3 years ago
A store has a $489.99 item on sale for 50% off. What is the discount on this item?
kondaur [170]
50% is 1/2 so 2 divided into $489.99 equals $244.995 or $244.99. Hope this helps!
3 0
3 years ago
Read 2 more answers
The variable z is directly proportional to x. When x is 11, z has the value 44. What is the value of z when x = 21?
dimulka [17.4K]

Directly proportional, both increase/decrease, Multiple k(constant you needed to solve for)..

Inversely --one increases as the other decreases, increase the denominator & fraction gets smaller.... So

Problem:

Dirextly to X (× by X)

Inversely to Y, (÷ by Y)

Z= k X/Y

Solve, working backwards: Z =5 becomes

5 = k (X) ÷ (Y). And

X=15 and Y =9 becomes

5= k(15)/(9). Undo ÷9, ×9 both sides

45= k(15). Now undo ×15 by ÷15 both sides

45/15 = 3. So k=3, (also called your constant of variation)....and your Equation/Proportion becomes...

Z = 3X/Y

Use the new #s.... X=23, Y=14

Z= 3×23÷14 = 69/14. If they want spirochete answer divide and round to corresponding # if decimals

4 0
2 years ago
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