Im pretty sure the answer is 5 maybe im not sure
Answer:
x=65
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5/4*x-(3/2)=0
Simplify —
2
Equation at the end of step
1
:
5 3
(— • x) - — = 0
4 2
STEP
2
:
5
Simplify —
4
Equation at the end of step
2
:
5 3
(— • x) - — = 0
4 2
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 2
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
Answer:
Difference in volume between the two vinyl records = 3.872 in³
Step-by-step explanation:
Complete Question
2 Columbia records unveiled the LP (a vinyl record) in the Waldorf Astoria on June 18, 1948, in two formats: 10 inches in diameter, matching that of 78 rpm singles, and 12 inches in diameter. If the thickness of one vinyl record is 0.112 in, then determine the difference in volumes between the 10 inch and 12 inch records.
Each of the vinyl records will be modeled as a cylinder
Volume of a cylinder = πr²h
For the 12 inches diameter records:
r = (12/2) = 6 inches
h = thickness = 0.112 inches
Volume = π × (6²) × 0.112 = 12.672 in³
For the 10 inches diameter records:
r = (10/2) = 5 inches
h = thickness = 0.112 inches
Volume = π × (5²) × 0.112 = 8.8 in³
Difference in volume between the two vinyl records = 12.672 - 8.8 = 3.872 in³.
Therefore, the difference in volume between the two vinyl records = 3.872 in³.
Have a nice day!
Answer:
Here, 
, hence the quadratic equation has two distinct real roots.
Step-by-step explanation:
Given quadratic equation is 
.
Let, the quadratic equation is 
[where, 
are the constants]
The Discriminant 
Case 
: 
, if the discriminant is greater than 
, it means the quadratic equation has two real distinct roots.
Case 
: 
, if the discriminant is less than , it means the quadratic equation has no real roots.
Case 
: 
, if the discriminants is equal to , it means the quadratic equation has two real identical roots.
Now,
we have , where 
∴
Here, , hence the quadratic equation has two distinct real roots.
