Answer:
the answer is on the far left.
Step-by-step explanation:
<em>Hi there!</em>
<em>This should be easy,lol!</em>
<em>Answer:</em>
<em />![\sqrt[3]{-128} = \boxed{-128 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-128%7D%20%3D%20%5Cboxed%7B-128%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: -221.702503)</em>
<em />![\sqrt[3]{162} = \boxed{162 \sqrt{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B162%7D%20%3D%20%5Cboxed%7B162%20%5Csqrt%7B3%7D%20%7D)
<em> (Decimal: 280.592231)</em>
<em />![\sqrt[3]{-1000x^4} = \boxed{-1732.050808x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D%20%3D%20%5Cboxed%7B-1732.050808x%5E4%7D)
<em />
<em>Sorry bout the explanation thingy. Their really long -.-!</em>
<em>But the last one is short so i'll put it for you!</em>
<em>Step-by-step explanation:</em>
<em>∴!For the last one!∴</em>
<em />![\sqrt[3]{-1000x^4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-1000x%5E4%7D)
<em />
<em>Simplifies to:</em>
<em />
<em />
<em />
<em> </em>
<em />
<em />
<em>Have a great day/night!</em>
Answer:
√
96
log
(100
)
3
^5
/ 3
Step-by-step explanation:
9514 1404 393
Answer:
the lines are perpendicular
Step-by-step explanation:
You can tell something by looking at the differences of coordinates:
B-A = (6-2, -11-5) = (4, -16) . . . . . Δy/Δx = -16/4 = -4
D-C = (-1-3, 9-10) = (-4, -1) . . . . . Δy/Δx = -1/-4 = 1/4
The product of the slopes of these lines is (-4)(1/4) = -1, so ...
the lines are perpendicular
Answer:
The y-intercept of the equation is 100 and represents the initial studio-use fee.
Step-by-step explanation:
In this equation, our t variable (time) is the equivalent of the x-variable on a graph. This is because it is the variable that we 'change' to see its impact on y. We see how the amount of hours affects the price. So our P variable (price) is the equivalent of y on a graph. The y-intercept is where the line crosses the y-axis on a graph. At this point, x=0.
Since P is our y, and t is our x, to find the y-intercept, we simply need to make t = 0.
P = 50(0) + 100
P = 100
Therefore the y-intercept is 100.
In this context, t represents time, so even though the studio has been used for 0 hours, the price is still 100. This is because the 100 represents the initial studio-use fee, and using it for certain amounts of time adds onto the initial fee of $100. The hourly fee is represented by 50t so it costs $50 more for each hour of use.
Hope this helped!
