Answer:
5.70, or 5.7.
Step-by-step explanation:
4 is rounded to 70 (4 and below you round down), the 5 stays the same, and then you get 5.70 which you can reduce to 5.7.
64 is written as 3√64=4. The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√−64=−4. The cube root of 8 is written as 3√8=2.
This is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π
For this question, we need to find the unit rate. 7.5 is 10% of 75 (which we can find by dividing 75 by 10). Then, in order to get 30 from this, we would have to multiply 7.5 x 4. Because we multiplied this by 4, that hints to us that 40% of 75 is 30. With this knowledge, we can find 40% of 300, which when doing the math would be 120. Therefore, because 30/75 students would want to go to Clemson University, that means 120 students out of 300 would want to go to Clemson University. Thus, our answer is 120 students
To figure out which airline provides more reliable service, we need to figure out what ABC Airlines's delays are in percents.
To get that, we need to reduce 18/126 by 2.
When we reduce both the numerator and the denominator we get 9/63.
Now, we cannot reduce that again, without getting a decimal for the numerator/denominator.
So, now that we know that the fraction is 9/63, we divide it, and we get :
<span> 0.142857
</span>
Changing that into a percent, we get 14%.
14% is the percent that ABC Airlines has delays.
DEF Airlines has delays of 13% in recent flights.
So, from that, we can conclude that DEF gives more reliable service.
