Answer:
There is no solution for the given radical equation.
x = 225/16 is an extraneous solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Substituting back the value of x in original equation to check the extraneous solution.
Since -18≠ 12. Hence, the value of x does not satisfy the equation.
Therefore, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Answer:
There are 25 students in the class.
Step-by-step explanation:
Let x be the number of students in the class
12% failed and the number of students is 3
x*12% = 3
x*.12 = 3
Divide each side by .12
x * .12 /.12 = 3/.12
x =25
There are 25 students in the class
Answer:
never did this with big numbers but i will try lol! okay so the word "is" means the number after that with be of the top. And the word "of" (and the nummber after that) will always be on the bottom. so remember is/of
Step-by-step explanation:
5% so you will have 5/100
IS $70,000 (70,000 will be on the top of your fraction)
and you know what ill just give you the dang answer LOL!
is your answer 1,400,000? if so thats the answer
Answer: You need to wait at least 6.4 hours to eat the ribs.
t ≥ 6.4 hours.
Step-by-step explanation:
The initial temperature is 40°F, and it increases by 25% each hour.
This means that during hour 0 the temperature is 40° F
after the first hour, at h = 1h we have an increase of 25%, this means that the new temperature is:
T = 40° F + 0.25*40° F = 1.25*40° F
after another hour we have another increase of 25%, the temperature now is:
T = (1.25*40° F) + 0.25*(1.25*40° F) = (40° F)*(1.25)^2
Now, we can model the temperature at the hour h as:
T(h) = (40°f)*1.25^h
now we want to find the number of hours needed to get the temperature equal to 165°F. which is the minimum temperature that the ribs need to reach in order to be safe to eaten.
So we have:
(40°f)*1.25^h = 165° F
1.25^h = 165/40 = 4.125
h = ln(4.125)/ln(1.25) = 6.4 hours.
then the inequality is:
t ≥ 6.4 hours.
Answer:
12
Step-by-step explanation:
The given geometric series is

We want to determine the first term of this geometric series.
Recall that the explicit formula is

To find the first term, we put n=1 to get:

This gives us:


Therefore the first term is 12