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MrRissso [65]
3 years ago
6

The average value of y=v(x) equals 4 for 1≤x≤6, and equals 5 for 6≤x≤8. what is the average value of v(x) for 1≤x≤8 ?

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0
The average value over the interval is the area under the curve divided by the width of the interval.

Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7

Average value = 30/7 = 4 2/7

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A cone has a radius of 7cm and a height of 12 cm. Find the volume
Dmitrij [34]

9514 1404 393

Answer:

   196π cm^3 ≈ 615.8 cm^3

Step-by-step explanation:

Put the numbers in the volume formula and do the arithmetic.

  V = 1/3πr^2·h

  V = 1/3π(7 cm)^2(12 cm) = 196π cm^3 ≈ 615.8 cm^3

7 0
3 years ago
Find the least common denominator (LCD) for these fractions.
irinina [24]
16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator

17.  LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168

18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30
5 0
3 years ago
How many solutions does x + 2x + 7 = 3x - 7
Alex17521 [72]

Answer:

No solutions! :)

Step-by-step explanation:

To find the number of solutions in a problem we must solve it.

x+2x+7=3x-7

Firstly, combine common terms:

3x+7=3x-7

We can subtract 3x from both sides:

7=-7

The solution is 7=-7, which is no solution.

When a number is equal to a number in a solution, it has no solutions!

:))

3 0
3 years ago
2. For a simple interest rate of 10%, p.a calculate the number of year's needed for an interest of $1149.60 to be earned on an i
azamat

Answer:

r=10%

I=1149.60

P=2874

t=(I×100)/(p×r)

(1149.60×100)/(2874×10)

114960÷28740

4 years

7 0
3 years ago
State the Pythagorean theorem using the triangle shown below
AlekseyPX

Answer: p^2 + q^2 = r^2

Step-by-step explanation:

Pythagorean Theorem = a^2 + b^2 = c^2

P = a (leg)

q = b (leg)

r = c (Hypotenuse)

7 0
3 years ago
Read 2 more answers
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