Answer:
x^9
Step-by-step explanation:
If we have x^2 * x^3 we have (x * x) * (x * x * x) = x * x * x * x * x = x^5 which demonstrates that x^a * x^b = x^(a+b), 4 + 5 = 9
Answer: 15/91 which is choice B
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There are two methods to find this answer.
Method 1) We have 6 girls and 8+6 = 14 students. The probability of picking a girl is 6/14 = 3/7. After the first girl is chosen, we have 5 girls left out of 14-1 = 13 students overall. The probability of picking another girl (assuming the first selection was a girl) is 5/13. Multiply these probabilities: (3/7)*(5/13) = (3*5)/(7*13) = 15/91
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Method 2) We can use the nCr combination formula. Order does not matter.
We have nCr = 6 C 2 = 15 ways to pick 2 girls. See the attached image below for the steps (figure 1)
Out of nCr = 14 C 2 = 91 ways to pick 2 students. See the attached image below for the steps (figure 2)
So that's another way to get the answer 15/91.
Answer:
The time taken for the flare to hit the ground is approximately 10.7 seconds.
Step-by-step explanation:
Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation
models the h height at t seconds of the flare.
To find : How long will it take for the flare to hit the ground?
Solution :
The equation
models the h height at t seconds of the flare.
The flare to hit the ground when h=0.
Substitute in the equation,

Applying quadratic formula, 
Where, a=-16, b=160 and c=120





Reject the negative value.
Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.
Answer:
0.4444
Step-by-step explanation:
Use the following property to ease the calculation:
P(At least one)=1-P(None)
Total number of electrical components: 9
Number that does not function well :1
Number that functions well : 8
We have
ways to to choose 4 good components from 8.
We have
ways to choose 4 components from a total of 9.
If all function properly then none is bad, we
way to do this.
P(At least one)=
P(At least one)=
P(At least one)=0.4444
I think
A. convert the time to seconds, so all the time are 7070sec and the total course to meter.
so 31300meter
Vector = TotalCourse÷total time
V=31300/7070=4.427157m/s
convert it to km/h so 4.427157×36÷10=
15.9377km/h
B. 45÷15.9377=2.823Hour
it means that around 2 Hour 48Minutes more.
i think the teacher need to simplify it