Answer:
Step-by-step explanation:
4*3^x+1=27+(3^2)^x
(3^2)^x=(3^x)^2
3^x=t
4t+1=27+t^2
t^2-4t+27-1=0
t^2-4t+26=0
delta=4^2-4*1*26=16-84=-68<0
the equation has not real solutions
There<u> four sixties </u> the remainder is 4
The number of natural numbers less than n is n-1.
Natural numbers are whole and positive numbers that are not 0.
If n is 2, there is one natural number less than n... and that is 1.
If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.
Answer: 1/4
Step-by-step explanation:
To determine the probability of landing on blue, you divide by the total number of spins.
In this experiment, the probability of the spinner landing on blue after 20 spins would be 15%.
This makes the probability of landing on blue to be:
Pr (landing on blue) / Pr (total trials) = 5/20
This gives 1/4
Answer:
Step-by-step explanation:
Given
Height H = 4 feet
Velocity = 14ft/s
Required
Time the pumpkin will hit the ground
Using the equation of mottion
H = ut + 1/2gt²
4 = 14t + 1/2(9.8)t²
4 = 14t + 4.9t²
4.9t²+14t-4 = 0
t = -14±√196+16(4.9)/2(4.9)
t = -14±√196+78.4/2(4.9)
t = -14±16.57/9.8
t = -14+16.57/9.8
t = 2.57/9.8
t = 0.2seconds