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Murrr4er [49]
3 years ago
13

1. It took Joseph 10 days, 21 hours, and 30 minutes to get from San Diego to Boston. How many hours did it take him? Show your w

ork using the proper conversion factors.
2. A certain plant can grow up to 0.6 ft per day.

a) How fast in inches per day can the plant grow?



b) How fast in inches per hour can the plant grow?
Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0
1) cf= 24 hours/1 day, 1 hour/60 minutes
30 x 1/60 = .5
10 x 24/1 = 240
240 + .5 = 240.5 hours

2) cf = 24 hours/1 day, 60 minutes/1 hour, 12 inches/1 foot
    a) 0.6 x 12/1 = 7.2 inches
    b) 7.2 x 1/24 = 0.3 inches per hour
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Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
3 years ago
Read 2 more answers
The average number of students per class at a middle school
Tasya [4]

Answer:

s = 22t or \frac{t}{s} = \frac{1}{22}, when s is students and t is teachers.

Step-by-step explanation:

I. Given t = teacher, s = student

When 1 teacher per 22 students so...

        s = 22t

If there're 10 teachers

        s = 22(10)

           = 220 or \frac{t}{s} = \frac{1}{22}

Hope that help :)

8 0
3 years ago
A bracelet that regularly sells for $44 is on sale for 25% off. Find the sale price of the bracelet.
VikaD [51]
You would pay $33 for the bracelet 
6 0
3 years ago
I needd helpppppppp pleaseeeee
almond37 [142]

Answer:

hi guada!

Step-by-step explanation:

well the answer i think is 35.

180-155= 25

180-120-25=35

4 0
3 years ago
HELP ME PLEASE IM BEGGING YOU (PS: Correct answer gets brainliest and 5 star rating, as well as a thanks!)
Salsk061 [2.6K]
The answer is B. 1/25 :)
5 0
3 years ago
Read 2 more answers
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