A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. Show your work.After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula)
What will the height be at t = 1 second
PLEASE HELP,,STUCK :(
Answers
The water ballon will hit the ground after 1.66447 seconds.
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2)
The height will be 12 feet if t = 1 second.
Final answer:
To find when the balloon hits the ground, set the height function equal to zero and solve using the quadratic formula. The balloon will hit the ground after approximately 1.924 seconds. To find the height at t = 1 second, substitute t = 1 into the height function to get a height of 12 feet.
Explanation:
To find when the water balloon hits the ground, we need to set the height function, h(t), equal to zero and solve for t. In this case, the height function is given by h(t) = -16t^2 + 25t + 3.
Setting h(t) equal to zero, we get:
-16t^2 + 25t + 3 = 0
Using the quadratic formula, t = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = -16, b = 25, and c = 3, we can determine the value of t.
After substituting the values into the quadratic formula and solving for t, we find two values: t ≈ 0.051 seconds and t ≈ 1.924 seconds. Since we are looking for when the balloon hits the ground, we can ignore the first solution and conclude that the balloon will hit the ground after approximately 1.924 seconds.
To find the height at t = 1 second, we can substitute t = 1 into the height function. This gives us:
h(1) = -16(1)^2 + 25(1) + 3 = -16 + 25 + 3 = 12 feet.
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Answer:
a) Equivalent Units 19400
b) Cost per equivalent unit of production for materials = $ 1.4536 per unit
Step-by-step explanation:
The Plastic Flowerpots Company
Weighted Average Method
Equivalent Units
Particulars Units % of Completion Equivalent Units
Materials Materials
BWIP 2000 70 % 1400
Units Started 18000 18000
Equivalent Units 19400
Equivalent Units
Particulars Units % of Completion Equivalent Units
Materials Materials
Completed 17000 100 % 17000
EWIP 3000 80% 2400
Equivalent Units 19400
The equivalent units under the weighted average method are found by either adding the BWIP and units started or the EWIP and the units completed.
Beginning work in process inventory (direct materials) $ 1,200
Direct materials added during the month 27,900
Total Materials Cost $ 28,200
b) Cost per equivalent unit of production for materials = $ 28,200/ 19400=
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Cos (known angle) = adjacent leg / hypotenuse ( distance wanted)
cos(50) = 14 / x
x = 14 / cos50
x = 21.78 feet
The problem doesn't say if the answer should be rounded or not. You may have to round the answer if needed.
You are given the "side" opposite the angle. souse the SOH part Sine=opposite/hypotenuse
so when you plug in the information you get this equation:
sin(50)=14/x
divide both sides by sin(50) and you should get
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Final answer:
The four equivalent expressions for 90 + 21 can be represented as separate sums, number line jumps, or real world problems, all of which equal 111.
Explanation:
The student has asked for four equivalent expressions for 90 + 21. Here are four possible representations:
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- A real-world problem where one has 90 of something and is given 21 more, resulting in a total of 111.
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