Answer: 27
Step-by-step explanation:
The expression given is inside a cube root. This is a simplified version of a fractional exponent, 1/3.
We can take the expression outside of the radical to get this:
3 ^ 9 ^ (1/3)
When an exponent is raised to another exponent, multiply the exponents and keep the base the same:
3 ^ (9 * 1/3)
3 ^ 3
The expression is equal to 27.
Answer:
f=127 cm
Step-by-step explanation:
Law of Cosine:
x squared=92 squared+42 squared-2(92)(42)(cos 141)
x squared =8464+1764-7728(cos 141)
x=127 cm
Quadratic formula since this trinomial is not factorable.
Answer:
57 children
54 adults
Step-by-step explanation:
Let's call x the number of children admitted and call z the number of adults admitted.
Then we know that:

We also know that:

We want to find the value of x and z. Then we solve the system of equations:
-Multiplay the first equation by -4 and add it to the second equation:


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Now we substitute the value of x in the first equation and solve for the variable z



Answer:
35
Step-by-step explanation: