Discriminant = b^2 - 4ac, where a, b and c come from the form of the quadratic equation as ax^2 + bx + c
Discriminant = (4)^2 - 4(1)(5)
= 16 - 20
= -4
-4 < 0, therefor there are no roots
(If the discriminant = 0, then there is one root
If the discriminant > 0, there are two roots, and if it is a perfect square (eg. 4, 9, 16, etc.) then there are two rational roots
If the discriminant < 0, there are no roots)
Answer:
The depth now is 47 feet below the surface of the lake
Step-by-step explanation:
Step 1: Determine initial depth
Initial depth=surface level-depth below surface
where;
Surface level=0, since its the point of reference
depth below surface=96 feet
replacing;
Initial depth=(0-96)=-96 feet
Step 2: Final depth
Final depth=Initial depth+distance covered
where;
Initial depth=-96 feet
distance covered=+49 feet since the scuba driver moves towards the surface
replacing;
distance covered=-96+49=-47 feet
The depth now is 47 feet below the surface of the lake
Answer:
3.167 liters
Step-by-step explanation:
1 liter = 1,000 milliliters
3,167 milliliters * 1liter/1,000milliliters = 3.167 liters
1ft=12in
1ft/12in=1
3.5ft=?in
1ft:12in=3.5ft:?in
1ft/12in=3.5ft/?in
times both sides by 12?in
1?=42in
answer is 42 in
or you could just do
3.5 times 12=42 inches
There are total 10 juice boxes
P(grape) first pick:
2/10=1/5
P(grape) second pick:
1/9
As a result, the probability that, when Jill reaches into the cooler to grab two juice boxes without replacing them, she grabs two that are grape is 1/45. Hope it help!
