Answer: choice C) -15x^4y
-----------------------------------------
Explanation:
The coefficients are -3 and 5. They are the numbers to the left of the variable terms
Multiply the coefficients to get -3*5 = -15. So -15 is the coefficient in the answer
Multiply the x terms to get x^3 times x = x^(3+1) = x^4. Notice the exponents are being added
Do the same for the y terms as well: y^2 times y^(-1) = y^(2+(-1)) = y^(2-1) = y^1 = y
So we have a final coefficient of -15, the x terms simplify to x^4 and the y terms simplify to just y
Put this all together and we end up with -15x^4y which is what choice C is showing
we have that
*-------------------------*--------------------------------*
E F G
EF=2x-12
FG= 3x-15
EG=23
we know that
EF + FG = EG
so
[2x - 12] + [3x - 15] = 23 simplify
5x - 27 = 23 add 27 to both sides
5x = 50 divide both sides by 5
x = 10
EF=2x-12-------> EF=2*10-12-------> EF=8
FG= 3x-15------> FG=3*10-15------> FG=15
therefore
the answer part a) is
the value of x is 10
the answer part b) is
the value of EF is 8
the answer part c) is
the value of FG is 15
Answer:
B)
B)
D)
Step-by-step explanation:
1. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
2. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (B) is the right answer
3. 
The GCF of all the term of the above polynomial is 
, hence we take it outside and form a bracket
The polynomial within the bracket can not be factorized further hence this is our final answer. Option (D) is the right answer
Volume of a cube is edge^3
Let the smaller cube = e^3 = 1e
Larger cube = 4e^3 = 64e
The ratio would be 64:1
Answer:
a) 
b) n = 381
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?
When we do not know the proportion, we use 
, which is when we are going to need the largest sample size.
The sample size is n when M = 0.01.
b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?
Now we have that 
. So
Rouding up
n = 381
