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Alchen [17]
3 years ago
8

jack has baseball practice wvery 3 days and swimming practice wvery 2 days . during a month that has 30 days how many days will

jack have both practices
Mathematics
1 answer:
ELEN [110]3 years ago
7 0
Divide 30 by 3 and you get 10. Divide 30 by 2 and your get 15. Add 15 to 10 and you get 25. 25 is your answer.
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Find the number to which the sequence {(3n+1)/(2n-1)} converges and prove that your answer is correct using the epsilon-N defini
Nat2105 [25]
By inspection, it's clear that the sequence must converge to \dfrac32 because

\dfrac{3n+1}{2n-1}=\dfrac{3+\frac1n}{2-\frac1n}\approx\dfrac32

when n is arbitrarily large.

Now, for the limit as n\to\infty to be equal to \dfrac32 is to say that for any \varepsilon>0, there exists some N such that whenever n>N, it follows that

\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|

From this inequality, we get

\left|\dfrac{3n+1}{2n-1}-\dfrac32\right|=\left|\dfrac{(6n+2)-(6n-3)}{2(2n-1)}\right|=\dfrac52\dfrac1{|2n-1|}
\implies|2n-1|>\dfrac5{2\varepsilon}
\implies2n-1\dfrac5{2\varepsilon}
\implies n\dfrac12+\dfrac5{4\varepsilon}

As we're considering n\to\infty, we can omit the first inequality.

We can then see that choosing N=\left\lceil\dfrac12+\dfrac5{4\varepsilon}\right\rceil will guarantee the condition for the limit to exist. We take the ceiling (least integer larger than the given bound) just so that N\in\mathbb N.
6 0
3 years ago
In triangle ABC, EG = x inches and BG = (5x - 12) inches. Triangle A B C has centroid G. Lines are drawn from each point to the
yawa3891 [41]

Answer:

12. Hope this helps!!!

Step-by-step explanation:

9 0
3 years ago
Read 2 more answers
A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at
Gekata [30.6K]

Answer:

120 - 4.5t= 75

t = 10 minutes

Step-by-step explanation:

the equation :

120 - 4.5t= 75

the solution:

-4.5 t = 75-120

-4.5t = -45

t = -45/(-4.5) = 10 minutes

4 0
3 years ago
11.Find the missing value given the rate of change.(2,6) and (x, 10) m = 4
Anvisha [2.4K]

The missing value x=3 is obtained by the concept of slope in coordinate geometry.

<h3>What is slope?</h3>

Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.

Formula of slope = \frac{y2-y1}{x2-x1} (equation 1)

According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10

Given, rate of change=4 (here rate of change=slope)

Putting all coordinates in equation 1

Slope= \frac{10-6}{x-2}

4=4/x-2

x-2=1

x=3

Therefore, the missing value x=3

To know more about slope visit:

brainly.com/question/3605446

#SPJ9

4 0
1 year ago
Help please.!!
Dafna11 [192]

Answer: The answer is (y^2) to the power of -0.5

Step-by-step explanation:

8 0
3 years ago
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