The mass of the toddler is 12.5 kg.
Step-by-step explanation:
The equation for gravitational potential energy is Ep=mgh where;
Ep=gravitational potential energy
m=mass of an object
g=gravitational field strength
h=height in meters
Given that ; h= 1.5m, Ep=187.5J , g=10 N/kg then finding m;
Ep=mgh
187.5=m*10*1.5
187.5=15m
187.5/15 =15m/15
12.5 kg=m
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Keyword : Mass, gravitational potential energy
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Answer:
I am going to show you the first steps to complete squares for the given equation: 1) Starting equation: 3x^2 + 9x -4 = 0 2) Add 4 to both sides => 3x^2 + 9x - 4 + 4 = 4 => 3x^2 + 9x = 4 3) Extract common factor 3 in the left side => 3 (x^2 + 3x). Now, compare with a(x^2 + 3x) and you get a = 3. Answer: a = 3.
Answer:
A and D
Step-by-step explanation:
Here, we shall be evaluating the validity of the statements;
A. Yes, A is true
There are four even numbers 2,4,6 and 8 and 4 odd number 1,3,5,7; The landing should be equal at 125 each
B. This is wrong
It is supposed to land half of the number of time s which is half of 250 and that is 125
C.This is wrong
The numbers greater than 4 are 5,6,7,8
Now, the probability should be 4/8 = 1/2 and that is 50%
D. This is correct
Number of times we have a landing on odd numbers is 250-135 = 115
The experimental probability of landing on an odd number is thus 115/250 = 0.46 which is 46%
Answer: 
Therefore, the algebraic exp
Step-by-step explanation:
Given : x represents the number of pounds of coffee A.
The total weight of the mix of coffee A and coffee B = 100 pounds.
Then , we have the following expression to represents the number of pounds of coffee B:-
Therefore, the algebraic expression that represents the number of pounds of coffee B. :-
Answer: 
Step-by-step explanation:
We know that:
Where "d" is distance, "r" is rate and "t" is time.
Solved for the time "t":
The first step is to convert the distance from miles to feet.
Since 
, we get:
Knowing that:
We can substitute values into in order to find the time in seconds:
Since:
The time in minutes is:
