Use quadrratic equation discriminant
for
ax²+bx+c=0
if b²-4ac is the discriminant
if it is greater than 0, then it has 2 real number solutions
if it is equal to 0 then it has 1 real number solution
if it is less than 0 then it has 0 real number solutions
so
1x²+3x+j=0
b²-4ac=3²-4(1)(j)
9-4j
to have it have a real number solution, it must be greater than 0
9-4j>0
9>4j
9/4>j
j<9/4 is the solution area
The volume flow rate of the air being pumped into the football will be given by:
Q=V*A
Where
V=Speed
A=Area
You know that your pump expels air at speed of 8.2 ft/s
The area of The needle of your pump is
A=pi*r^2=pi*((4.5/1000)*(3.28))^2=0.00068442 ft^2
Finally
Q=V*A=(8.2 ft/s)*(0.00068442ft^2)=0.005612243 ft^3/s
25% of the class likes mint gum, 5% likes orange, 20% likes raspberry lemonade, of the remaining % likes cherry. how much is the remaining % of students?
Answer:
The answer is given below.
Step-by-step explanation:
Alternate exterior angles: I is a pair of angles on the outer side of the each of two parallel lines but on opposite side of the transversal.
Vertically opposite angles: They are angles opposite each other when two lines intersect each other or cross each other.
Corresponding angles: The angles which occupy the same relative position at each intersection where a transversal intersect the two parallel lines.
Same side interior angles: These are the angles between the parallel lines with the transversal.
Alternate interior angles: These are those angles that are alternate to each other and lie inside the parallel lines forming in Z shape.
Linear pair angles: It is a pair of adjacent angles formed by two intersecting lines
