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plumpycat
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Since the bay is an inverted cone, we can express the radius, r, in terms of the depth, d(t), by using similar triangles: r/d(t) = 5280/100 r = 52.8 d(t) ft Now express the volume of the cone, V, in terms of d(t): V(d(t)) = (1/3) π [52.8 d(t)] ² ⋅ d(t)
I agree with your answer.
x - y = 10 x ² + y ² = 50 ² Solve for x and y.
17/cos² θ - 13(sin θ/cos θ)(1/cos θ) - 15 = 0 17/cos² θ - 13(sin θ/cos² θ) - 15 = 0 17 - 13sin θ -15cos² θ = 0 17 - 13sin θ -15(1-sin ² θ) = 0 15sin ² θ - 13sin θ + 2 = 0 This will now factor nicely across the integers, to give you two
Any measurement on the model is 1/25 × the measurement on the real train. Any measurement on the real train is 25 × the measurement on the model.
Convert km/h to m/s: 40 km/h * 1000 m/km * (1/3600) h/s = ____ m/s Acceleration = Δ velocity / Δ time = (0 m/s - ____ m/s) / 5 s = ____ m/s ²
Let the faster train be train A. Let the slower train be train B. The speed of train A relative to train B, and vice- versa, is 120 km/h + 80 km/h =200 km/h. The distance traversed from when the fronts of the trains meet each other (presumably on separate
Sketching the displacement vectors roughly to scale is a big help in seeing what needs to be done. Draw the first arrow vertically on your page, with the arrow pointing up, and label it 35 km. Start the next vector from the tip of that arrow, heading 45 °
mc ΔT (copper) = mc ΔT (water) (46.9 g)(0.385 J/(g.°C))(Tf °C - 54.5 °C) = (50.0 g)(4.18 J/(g.°C))(Tf - 25.0 °C) Tf = _____ °C
The population standard deviation is 22.92. You would use that here because the question refers only to what is happening within this set of data, so it becomes the population rather than the sample. However, that still doesn't deliver the correct answer
Pairs of integers that multiply to give +8: 1, 8 -1, -8 2, 4 -2, -4 Hmm....none of these add to give -2, so looks like this expression is unfactorable. Plan B: Use the quadratic formula.
Qualitative (descriptive).
Δ v / Δ t = (0 - 15 m/s) / (5 s) = -3 m/s ²
Without computing, you could picture it: Draw exactly half of a pizza. If we share it among 6 people (cut it equally into 6 pieces), we can see that each piece is smaller than 1 whole pizza.
Temperature in Celsius: = (5/9)(66 - 32) = (5/9)(34) = 18.9 ° C Speed of sound at 18.9 ° C: v = 331 + 0.6T v = 331 + 0.6(18.9) v = 342.3 m/s Depth of well water surface: = 342.3 m/s × 4.6 s ~ 1575 m
Most of it looks good - I've pasted your work below --> with a few corrections Area to cover is 3500 SQ FEET with a 4 inch layer of topsoil or .33 =1156 cubic yards --> 3500 × (1/3) = 1166.67 cubic feet -->1166.67 / 27 = 43.2 cubic yards Your truck bed
Since these are simple, ordinary annuities, the regular deposits happen at the same frequency as interest is applied, and we can use this formula: FV = R [(1 + i)^n] / i A) FV = 2550 [(1 + 0.097)^7] / 0.097 FV = 2550 [1.097^7] / 0.097 FV = $ ______. __
Q = mc ΔT -9750 J = (335 g)(4.18 J/(g.°C))(Tf °C - 65.5 ° C) Tf = ______ °C Exothermic processes release heat, while endothermic processes absorb heat.
Volume = length * breadth * height ft³
Yes, looks good.
It will slightly reduce the mass of water in the calorimeter, but may also slightly increase the water's change in temperature (smaller amount of water to heat up).
Greatest resultant occurs when the forces act in the same direction: Resultant = 12 N + 8 N = 20 N, in the direction of the forces. Least resultant occurs when the forces act in opposite directions: Resultant = 12 N - 8 N = 4 N, in the direction of the 12
1:3000 means that 1 cm on the map represents 3000 cm in real life. Thus, 9.5 cm on the map represents 9.5*3000 cm in real life. Once you calculate this, you may wish to convert it to metres to make it more readable/understandable.
Reiny's answer requires another factor, 5. 23*5*x
K.E. = (1/2) mv ² K.E. = (1/2) ( 0.5 kg )( 10 m/s ) ² K.E. = ______ J M.E. = K.E. + P.E. M.E. = ______ J + 0 J M.E. = ______ J
Assume the web strands have negligible weight. (Hint: It is helpful to draw a FBD of each of these situations to better understand the forces and angles involved.) a) vertical forces sum to 0: Ft - Fg =0 Ft - ( 8.00 * 10^-5 kg )( 9.81 m/s ² ) = 0 Ft =
A recent study looks to have been done by the University of Turku, Finland, and published in the journal Molecular Ecology...your school library may allow you free access to this journal. Otherwise, several sites come up with summary articles when you
This is a great investigation into numbers...I encourage you to start a systematic table, working out the LCM for: 1 1, 2 1, 2, 3 1, 2, 3, 4 Etc. You may then see a pattern developing that will help you answer your question.
No worries.
B is correct. Probability of rolling a 3 or a 5 is 2/6 = 1/3 (1/3)(180) = 60
1st Question: try again 2nd question: correct
I'm going to assume you meant 45.0 m tall for the building (rather than cm). Vertically (take upward as positive): d = vit + (1/2)at ² -45 = 0*t + (1/2)(-9.81)t ² t ~ 3.0 s Horizontally (take direction of throw as positive) d = vit 24 = vi (3.0) vi ~ 8
A single positive charge = 1.6 * 10^-19 C qvB = mv ² / r Rearrange to find m: m = qrB / v m = (1.6 * 10^-19 C)(1.8 m)(0.315 T) / (2.4 * 10^5 m/s) m = _______ kg
Please clarify your question. Currently, it is asking what the diagonal is, but also stating that the diagonal is 14 m.
You're mentioning the y coordinate for the first end and the x coordinate for the other end, so it's a little confusing. There should be an open circle at (0,1.25), and a horizontal line from there to (1, 1.25), where we should see a closed circle. Then an
Power = work/time Look at the equation - If time increases, would power increase or decrease? If you're not sure, plug some numbers into the equation.
There must be some error here. Suppose x = 5, a = -1, b = -10. Then: x ² + 2ax + b = 5 ² + 2(-1)(5) + (-10) = 25 - 10 - 10 = 5 And: b ² -a ² = (-10) ² - (-1) ² = 100 - 1 = 99 5 < 99 Thus x ² + 2ax + b can be less than b ² -a ².
Everything you've mentioned is correct. You might check that the boundaries are shown correctly: The absolute value graph should have a solid circle at (-3, 3) and an open circle at (2, 2). The linear function should have an arrow on the downward-left end
(1/2)x + (1/3)x + 50000 = x Solve for x.
Find Z: Z = (x - μ) / σ Z = (6000 - 5274) / 600 Z = 1.21 Now look at a Z table for normal distributions. Z = 1.21 corresponds to a probability of 0.8869. This means that P(X ≤ 6000) = 0.8869. So P(X > 6000) = 1 - 0.8869 = ______ The middle 50% is
A baseball diamond is a square. The runner runs along the edges of the square.
Search for THE HALF-LIFE OF DICE - Vicphysics It explains very well how to do this.
First question: try again Second question: try
To get started, search for: Newton's Laws of Motion - NASA
E(X) = (5¤ - 5¤) * 10% + (100¤ - 5¤) * 1% + (0¤ - 5¤) * 89% E(X) = 0 * 10% + (95) * 1% + (-5) * 89% = -3.5¤ SD(X) = √ [ (0 - (-3.5)) ² * 10% + (95 - (-3.5)) ² * 1% + (-5 - (-3.5)) ² * 89%] SD(X) = _______
LS = (1+tan21) (1+tan28) (1+tan24) (1+tan17) = [(1+tan21) (1+tan24)] [1+tan28) (1+tan17)] = [1+ tan24 + tan21 + tan21tan24] [...] = [1+tan(24+41)(1-tan21tan24) + tan21tan24] [...] = [1+ tan45(1-tan21tan24) + tan21tan24] [...] = [1+ 1(1-tan21tan24)) +
Time it takes her to drive = distance/speed = 24 miles / 30 miles/h = 4/5 hours Convert to minutes to compare to the desired time of 45 min.
A = Ao (1/2)^(t/h) 274 = 280 (1/2)^(6/h) (274/280) = (1/2)^(6/h) This can now be solved with logarithms, but if you haven't learned those yet, trial and error is the way to go.
Average velocity = displacement/ total time Train travels 1/2 h * 54 km/ h E = 27 km E Train travels 2/3 h * 54 km/ h N = 36 km N A rough sketch of the above displacement vectors is helpful: use the Pythagorean Theorem to find the magnitude of the
First, calculate the mean, x̄, by adding the data items together and dividing by the the total number of data items, 10. Using your data in the order you provided it, the standard deviation is now: s = √ [ ( 1.3 - x̄ ) ² + ( 2.4 - x̄ ) ² + ..... +
