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NeX [460]
3 years ago
8

Which is the graph of 0.5 g (x minus 2) + 1?

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0
Your answer just going to be 0.5x
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A chemical flows into a storage tank at a rate of (180+3t) liters per minute, where t is the time in minutes and 0<=t<=60
Yuliya22 [10]

Answer:

The amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

Step-by-step explanation:

Consider the provided information.

A chemical flows into a storage tank at a rate of (180+3t) liters per minute,

Let c(t) is the amount of chemical in the take at <em>t </em>time.

Now find the rate of change of chemical flow during the first 20 minutes.

\int\limits^{20}_{0} {c'(t)} \, dt =\int\limits^{20}_0 {(180+3t)} \, dt

\int\limits^{20}_{0} {c'(t)} \, dt =\left[180t+\dfrac{3}{2}t^2\right]^{20}_0

\int\limits^{20}_{0} {c'(t)} \, dt =3600+600

\int\limits^{20}_{0} {c'(t)} \, dt =4200

So, the amount of the chemical flows into the tank during the firs 20 minutes is 4200 liters.

5 0
3 years ago
The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.​
saw5 [17]

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

\sf \:2 π r = r+ 74

\sf \: =   > 2 \times  \frac{22}{7}  \times r =  r \:  + 74

\sf \: =  >  \frac{44r}{7}  -r  = 74

\sf \:  =  > \frac{44r - 7r}{7}  = 74

\sf \: =  >  \frac{37r}{7}  = 74

\sf \: =  > r =  \frac{7 \times 74}{37}

\sf \: =  >  r = 14

  • Hence, the radius of the circle is 14 cm.

________________________________

3 0
2 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!!
3241004551 [841]

Answer:

C and D

Step-by-step explanation:

1

The arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × \frac{60}{360}

     = 2π × 10 × \frac{1}{6} = \frac{20\pi }{6} = \frac{10\pi }{3} cm → C

-----------------------------------------------------

2

The area (A) of a sector is calculated as

A = area of circle × fraction of circle

   = πr² × \frac{60}{360}

   = π × 10² × \frac{1}{6} = \frac{100\pi }{6} = \frac{50\pi }{3} cm² → D

6 0
3 years ago
Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
laila [671]
I think it would be the 3rd one if not im sorry i tried

5 0
4 years ago
Read 2 more answers
Which of the following could be the lengths of the sides of a 30°-60°-90° triangle?
Inga [223]
According to Pythagoras theorem

a^2+b^2=c^2

similarly ,

3^2+ 4^2= 5^2

9+16=25
25=25

LHS=RHS
so angle of triangle is 30 , 60 and 90

answer is 3,4,5
7 0
4 years ago
Read 2 more answers
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