1 liter is equivalent to a volume of 1000 cm3 (the same as 10 cm x 10 cm x 10 cm). If a beaker has a cross-section the size of t
he circle below, and a height of 10 cm, what is its volume
1 answer:
Answer:
Step-by-step explanation:
Given
Height = 10cm
<em>See Attachment for complete question</em>
Required
Determine the volume of the circle
The volume is calculated as thus;
Take as
<em>So; Volume becomes</em>
Substitute 10 for h
Since, the value of the radius is not given;
<em>The volume of the circle is:</em>
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- Length of rectangle = 3x⁴
- width of Rectangle = 5x⁵
Area = 3x⁴ × 5x⁵
Area of rectangle = 15x⁹
Answer:
The correct option is:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
We are given a function f(x) which is a product of two linear polynomial as:
Now, we know that on multiplying the two linear polynomial we will obtain a quadratic polynomial.
So, the function f(x) will be represented as:
So, we will plot the graph of the function and check which statements about the function hold true.
1)
The function is increasing for all real values of x where x < 0.
This statement is false.
Since we get from the graph that function f(x) is decreasing for x<0.
2)
The function is increasing for all real values of x where x < –1 and where x > 4.
This option is incorrect as the function is decreasing for x<-1
whereas it is increasing for x>4.
3)
The function is decreasing for all real values of x where –1 < x < 4.
This option is incorrect.
Since, the function is both decreasing as well as increasing in the interval (-1,4).
4)
The function is decreasing for all real values of x where x < 1.5.
This option is correct.
Since it could be observed from the graph that the function is decreasing for x<1.5.
