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Vadim26 [7]
3 years ago
14

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Mathematics
1 answer:
Sonbull [250]3 years ago
3 0

Answer:

  1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

  rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

  rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

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Two numbers are said to be 'relatively prime' if their greatest common factor is 1. How many integers greater than 10 and less t
mars1129 [50]

Answer:

d. 9 integers

Step-by-step explanation:

Given that two numbers are said to be 'relatively prime' if their greatest common factor is 1.

We are to find relatively prime with 28 which are greater than 10 and less than 30

We have 11,12,13...29 satisfying the criteria greater than 10 and less than 30

To be relatively prime with 28, common factors should be only 1.

28 = 2x2x 7.  Hence the numbers which do not have factors as 2 or 7 will be relatively prime.  Remove all the even numbers from the list.

We have 11,13,15....29.

Of these 21 is the multiple of 7 so remove that.

Thus we have now 11,13,15,17,19,23,25,27,29

9 integers

d. 9 integers

3 0
3 years ago
What theorem can you use to prove that angle GKJ is congruent angle HIK?
dmitriy555 [2]

Angle Side Angle Theorem (ASA)

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

4 0
3 years ago
I need help. What is 9 - 3 / 1/3 + 1?
Allushta [10]
6/ 2/3 that the answe ti that that should be the answer
5 0
3 years ago
Read 2 more answers
Demerol 45mg and atropine 400mcg/ml give how much per ml to total volume to inject demerol contains 50mg/ml, atropine contains 4
OverLord2011 [107]

Answer:

Volume injected  = 1.65 ml

Step-by-step explanation:

mass of Demerol =45 mg.

density of pre-filled in syringe = 50 mg/ml

Volume = 45/50 = 0.9 ml

For atropine mass = 0.3 mg

density= 400 mcg/ml     [ Note : 1 mcg = 0.001 mg]

volume filled  = 0.3/400(0.001) = 0.75 ml

So, the total volume filled = 0.75+0.9 = 1.65 ml

6 0
3 years ago
If the circumference of a circle measures 5 pie cm, what is the area of the circle in terms of pie?
saw5 [17]

Answer:

6.25π cm²

Step-by-step explanation:

pi = π

Circumference = 5πcm

Now first we should find radius(r)

2πr = 5π cm

pie will be cancelled and we get here

r = 5/ 2 cm

Therefore r = 2.5 cm

Now

Area (A) = πr²

= π * 2.5²

= 6.25π cm²

4 0
3 years ago
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