x(t) = 20t
y(t) = 40t - 5t^2
Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y
x(5) = 20(5) becomes x(5) = 100
y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75
The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75
Answer: 0.75
Answer:
3sqrt(2) ................
Answer:
21. B
22. D
23. C
24. y = 3x - 12
Step-by-step explanation:
21. it has to be a positive slope since the graph shows it is increasing/positive slope. Has to be A or B. But it isn't A because where x = 1 1/2, y doesn't equal 0 like the graph shows.
22. It is D if you rewrite the equation starting with y=, so you subtract 2x on both sides to get y = -2x +6. Parallel means slopes are the same, so the slope has to be -2, which is D.
23. The only one that fits the description is C.
24.
in standard form, rearrange the equation so only y is on one side, the rest on the other.
-4x + 2y = 2x - 24
first add 4x on both sides so -4x cancels out on the left hand side.
-4x + 4x + 2y = 2x + 4x - 24
simplify it and get 2y = 6x - 24
divide both side by 2
y = 3x - 12
plot this as shown with arrows on lines.
please give thanks :)
Answer:
440 square inches.
Explanation:
We can consider the boxes as one single shape.
So it's base area is 12×10=120 and the area of the side faces is 20×12=240 and 20×10=200.
Now, there are 2 of each, so let's add up everything and multiply by 2.
(120+240+200)×3=560 square inches.
But we have to take off the base, so:
560-120=440 square inches