9514 1404 393
Answer:
144
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
4(t -1)² = 4(7 -1)² = 4(6²) = 4(36) = 144
<span>The answer is (x</span>¹⁰<span>y</span>¹⁴<span>)/729.
Explanation:
We can begin simplifying inside the innermost parentheses using the properties of exponents. The power of a power property says when you raise a power to a power, you multiply the exponents. This gives us
[(3</span>³<span>x</span>³<span>y</span>⁻¹⁵<span>)/(x</span>⁸<span>y</span>⁻⁸<span>)]</span>⁻²<span>.
Negative exponents tell us to "flip" sides of the fraction, so within the parentheses we have
[(3</span>³<span>x</span>³<span>y</span>⁸<span>)/(x</span>⁸<span>y</span>¹⁵<span>)]</span>⁻²<span>.
Using the quotient property, we subtract exponents when dividing powers, which gives us
(3</span>³<span>/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Evaluating 3</span>³<span>, we have
(27/x</span>⁵<span>y</span>⁷<span>)</span>⁻²<span>.
Using the power of a power property again, we have
27</span>⁻²<span>/x</span>⁻¹⁰<span>y</span>⁻¹⁴<span>.
Flipping the negative exponents again gives us x</span>¹⁰<span>y</span>¹⁴<span>/729.</span>
Answer:
David's score= 160 ; Aaron's score = 55
Step-by-step explanation:
let Aaron's score be 'x'.
so, David's score will be 3x - 5
(3x - 5) + x = 215
3x + x - 5 = 215
4x = 215 + 5
4x = 220
x = 220/4
x = 55
therefore, Aaron's score = 55
David's score is (3x - 5) = (3*55) - 5 = 165 - 5 = 160
Answer:
interest = 250
time = 3 years
rate = 2%
we know
P = I*100/(R*T)
= 250*100/6
=4166.67
Step-by-step explanation:
Answer:
120 miles/6 hours = 20 mph. You need to do the same for the boat going with the current. 120 miles/ 5 hours = 24 mph.
Step-by-step explanation: