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vaieri [72.5K]
3 years ago
15

Use a while loop to determine how many terms in the series 3k^2 are required for the sum to surpass 2000

Mathematics
2 answers:
Bumek [7]3 years ago
6 0
Using JAVA:
int sum = 0;       
int k = 1;       
while(sum  <= 2000) {           
sum += 3*k*k;           
 k++;       
 }               
System.out.println(k);

Output: 14

Which means it will take 14 terms for the series to surpass 2000


neonofarm [45]3 years ago
4 0
I am assuming k starts at 0. Python code (or pseudocode) would be this:
-------------------------------
S = 0
count_term = 0
k = 0
while S <= 2000:     S = S + 3*k**2
    count_term = count_term + 1     k = k + 1

print(count_term)
-------------------------------

It will print 14

If k should start at other number then just replace number at third line and execute it.
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Answer: 40

Step-by-step explanation:

8 0
3 years ago
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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

4 0
2 years ago
Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece
diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

  • 28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

<u>Note:</u>

  • The close answer choice is 8
  • 28/8 = 3 1/2 or 3.5
  • So if cut into 3.5 inch pieces then it is 8 full pieces
  • just in case it was typo 3 instead of 3.5
8 0
3 years ago
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Korvikt [17]

Answer:

x = 177/8

Step-by-step explanation:

First, we must get rid of the fraction by multiplying 8 by both sides.

8 · 1/8(8x + 15) = 24 · 8

1(8x + 15) = 192

8x + 15 = 192

Then we simplify. First subtract 15 from both sides.

8x + 15 - 15 = 192 - 15

8x = 177

Then divide 8 from both sides.

8x/8 = 177/8

x = 177/8

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3 years ago
Write an expression that is equivalent to 3/4 (5z+ 16
Pie
<span>(15/4)*z + 12?... I tried working with different ways on the calculator to get the answer and that might be it.</span>
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