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kenny6666 [7]
3 years ago
9

Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 7 f(x) dx 4 lie?Which property

of integrals allows you to make your conclusion?

Mathematics
1 answer:
mr Goodwill [35]3 years ago
6 0

Answer:

3m ≤ ∫ f(x) dx ≤ 3M, at limit of b, a

Step-by-step explanation:

Like the question asked, which property of integral was used.

Property 8 of integrals was the basis upon which the question was solved.

You might be interested in
5/6+2 3/4 (it is a faction)
frosja888 [35]

Answer: the answer would be 3 7/12

Step-by-step explanation:

First you must find the common denominator(which is 12) and then add the fractions

4 0
3 years ago
The Thomas family went for a Sunday drive. Before they left, Mr. Thomas noticed the gas tank was ¾ full. When they returned home
JulijaS [17]

Answer:

7.5 gallons

Step-by-step explanation:

Given:

The Thomas family went for a Sunday drive.

Before they left, Mr. Thomas noticed the gas tank was ¾ full.

When they returned home the gas tank was ⅓ full.

Total capacity of the gas tank = 18 gallons

<u>Question asked:</u>

How many gallons of gas did the car use on the drive?

<u>Solu</u>tion:

Before they left, quantity of gas in the tank = \frac{3}{4} \times18=\frac{54}{4} =13.5\ gallons

When they returned, quantity of gas in the tank = \frac{1}{3} \times18=\frac{18}{3} =6\ gallons

Quantity of gas used on the drive = 13.5 - 6 = 7.5 gallons

Therefore, 7.5 gallons of gas used on the drive by Thomas family.

4 0
3 years ago
The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?
ivolga24 [154]

Answer:

The  volume of the cone is  100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit   and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr²\frac{h}{3}

where v is the volume of the cone

r is the radius    and h is the height of the cone

from the question given, diameter d = 8 units  but d=2r    which implies  r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr²\frac{h}{3}

v ≈ 3.14 × 4² × 6/3

v  ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the  volume of the cone is  100 .48 units³ approximately

6 0
3 years ago
What is ten quarters equal to?
NemiM [27]

Answer:

$2.50

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Please help me ill mark you brainliest and please show your work :)
Nana76 [90]

Answer:

12

Step-by-step explanation:

Multiply both sides of the equation by 8/5.

4x-16=32

Move 16 to the other side

4x=32+16

add numbers on the right side

4x=48

divide both sides by 4

x=12

7 0
3 years ago
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