Answer:
6.7 seconds
Step-by-step explanation:
Let's calculate the maximum height covered by the object
Max height= U²Sin²tita/2g
Where g is acceleration due to gravity
Max height= 40²(sin90)²/(2*9.81)
Max height= 1600/19.62
Max height=81.55 m
Total max height= 30+81.55
Total max height= 111.55 m
Time t it will take to travel from the max height at acceleration of 4.9 m/s²
S= ut + ½at²
u= 0 at Mac height
S= 111.5 m
111.5 = ½(4.9)t²
223/4.9= t²
45.5= t²
6.745 seconds= t
6.7 seconds= t
Hello! To do this, first find the volumes of the tanks (how much water they can hold), then how much water is in tank P, and finally, how full tank Q would be.
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To find the volume of a rectangular prism, you multiply the length, width, and height.
Tank P: 15 * 12 * 8 = 1440 cm³
Tank Q: 10 * 20 * 6 = 1200 cm³
Now, we know that tank P is half full. Therefore, the volume of the water must be half that of the whole volume of tank P. We know the volume of Tank P is 1440 cm³, so just divide by 2.
1440/2 = 720 cm³
Therefore, there is 720 cm³ amount of water in Tank P. Finally, find how much of Tank Q this amount of water would occupy.
Set up a fraction to do this:
720 / 1200 = 0.6 = 3/5
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Therefore, 3/5 of Tank Q is filled.
Hope this helps!
3.
8÷1/3 is 24. 8×3 = 24. Hope I helped!
157,000 is 157,453 to the nearest thousand becuase the 4 in the hundreds place is smaller than five so it rounds down.
Answer:
Step-by-step explanation:
That '5' in f(5x) will compress the graph of x^2 horizontally.
If you were to graph f(x) = x^2, you'd get a parabolic graph; the parabola will open UP.
Suppose you graphed f(x) = x^2 on the interval [-4, 4].
Then the graph of g(x) = f(5x) would be graphed on the interval [-4/5, 4/5]. In other words, the graph would be on a shorter interval, one shorter by a factor of 5.
