Part A
We need to determine values of x for which 2x−1 is positive
⇒ 2x - 1 > 0
⇒ 2x > 1
⇒ x >
Hence, for all values of x that are greater than , the binomial 2x-1 is positive
Part B
We need to determine values of y for which 21−37 is negative
⇒ 21-3y < 0
⇒ 21 < 3y
⇒ 7 < y
Hence, for all values of y that are greater than 7, the binomial 21-37 is negative
Part C
We need to determine values of c for which 5−3c is greater than 80
⇒ 5-3c > 80
⇒ -3c > 75
⇒ -c > 25
⇒ c < -25
Hence, for all values of c that are less than -25, the binomial 5-3c is greater than 80
Answer:
ΔV = 865.51 mm^3
Step-by-step explanation:
In order to calculate the difference in volume between both baseballs you use the following formula for the volume of a sphere:
(1)
where r is the radius of he sphere.
You calculate the volume of each sphere:
First baseball:
radius = 23.2mm/2 = 11.61mm
Second baseball:
radius = 24.2mm/2 = 12.1mm
Then, the difference in the volumen of both spheres is:
Answer:
Each side of the fountain is 5 units
Step-by-step explanation:
Given:
All the sides of the vertices are equal.
Vertices of the fountain
(7.5,5),
(11.5,2),
(7.5,−1),
(2.5,−1),
(−1.5,2),
(2.5,5)
To Find:
Length of the each side of the fountain = ?
Solution:
Let us find the Length of the hexagon using the distance formula
Distance formula =
Now lets find the length of AB
Length of AB =
where
= 7.5
= 11.5
= 5
= 2
Substituting the values we get,
Length of AB =
Length of AB =
Length of AB =
Length of AB =
Length of AB = 5
Since all the sides of the hexagon are said to be equal, the length of the sides of the hexagon is 5 units
6 1/3÷1/6= 1 1/18 decimal form 1.055556
hope this helps!