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Ivenika [448]
3 years ago
6

Find the sum of the first 20 terms in the series. 6+3+3/2+3/4...

Mathematics
1 answer:
DedPeter [7]3 years ago
3 0

Answer:

6+3+3/2+3/4

=9+3/2+3/4

=

21/2+3/4

=

45/4

(Decimal: 11.25)

Step-by-step explanation:

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Suppose a student carrying a flu virus returns to an isolated college campus of 2000 students. Determine a differential equation
ad-work [718]

Answer:

x(t) = 2000 - e^(-k*t)

Step-by-step explanation:

Interpretation:

No . infected student = x

Total student = 2000

rate of infected students = dx / dt

not-infected student = 200 - x

The general rate at which student are infected can be expressed as below:

dx / dt = k * ( 2000 - x )

To develop an expression of x(t) we integrate the above expression by separating variables:

dx / (2000 - x ) = k * dt

Now integrate:

\int\limits{\frac{1}{(2000-x)} } \, dx = k *  \int\limits{dt}\\\\- ln (2000-x) = k*t + C\\\\

@ t = 0 , infected students x = 0

Hence,

C = - ln (2000)

- ln (2000-x) = k*t + - ln (2000)\\\\ln (\frac{2000-x}{2000}) = -k*t\\\\ 2000 - x = e^(-kt)\\\\x(t) = 2000 - e ^ (-k*t)

6 0
3 years ago
Help me on this question quickly
olchik [2.2K]

Answer:

1) More

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3) 15

4) 3

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6) 6

Step-by-step explanation:

4 0
4 years ago
On expression that is equal to 5.1 - 5.9
Nastasia [14]

Answer: 10.2-11.8

Step-by-step explanation:

im guessing that the question is "write one expression that is equal to 5.1 - 5.9" i would make it simple as possible and double both numbers to get 10.2-11.8"

8 0
3 years ago
Read 2 more answers
A football team gained 6 yards on the first​ down, lost 19 yards on the second​ down, and gained 17 yards on the third down. How
horrorfan [7]

Answer:

They need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position

Step-by-step explanation:

A football team gained 6 yards on the first​ down, lost 19 yards on the second​ down,

Total gained yards:

6 - 19 = -13 yards

So at the end of 2nd down the team lost 13 yards.

They gained 17 yards on the third down.

-13 + 17 = 4

So at the end of 3rd down the team gained 4 yards.

They want 10 yard gain at the end of 4th down.

If they gain 6 yards in the 4th down then the sum will be 10 yards

4 + 6 = 10

Hence, they need to earn 6 yards on the fourth down to have a 10 yard gain from their starting position.

4 0
3 years ago
What is the equation of a line that has a slope of 2, and contains the point (4,6)?
Tems11 [23]

Answer:

y= 2x -2

Step-by-step explanation:

You would use point- slope formula. y-y = m(x-x). With your numbers it would end up looking like this ---->  y-6 = 2(x-4), then do the distributive property which then gives you ----> y-6 = 2x - 8, then subtract 6 on both sides and you get --->  y = 2x - 2. Hope this helped!!!!

3 0
3 years ago
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