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pickupchik [31]
3 years ago
12

The distance s (in feet) covered by a car t sec after starting is given by the following function. s = −t3 + 11t2 + 20t (0 ≤ t ≤

6) Find a general expression for the car's acceleration at any time t (0 ≤ t ≤ 6). s ''(t) = Correct: Your answer is correct. At what time t does the car begin to decelerate? (Round your answer to one decimal place.) t = sec
Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

8.94

Answer:

Step-by-step explanation:

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Johan ran 7.25 miles every hour for 5 hours
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Select the correct answer.
PtichkaEL [24]

Answer:

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What is the solution to the system of equations? {10x^2 - y = 48 2y = 16x^2 + 48
julsineya [31]
A graph shows the solutions to be
  (x, y) = (-6, 312) or (6, 312)


To solve algebraically, remove a factor of 2 from the second equation and use that expression to substitute for y in the first equation.
  10x^2 -(8x^2 +24) = 48
  2x^2 = 72
  x = ±√(72/2) = ±6
  y = 8*36 +24 = 312

6 0
3 years ago
by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .
konstantin123 [22]

Answer:

\frac{1}{44} \approx0.0227\hspace{3}units

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

D_uf(x,y,z)=\nabla f\bullet u

\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector

The gradient of f is:

\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle

The unit vector can be found as:

u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle

The directional derivative at the point is:

D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units

6 0
3 years ago
Carmen is putting together a business plan for her sandwich restaurant, Subs Away, so she can expand to another location. She wa
Afina-wow [57]

Complete Question

Carmen is putting together a business plan for her sandwich restaurant, Subs Away, so she can expand to another location. She wants to include some information about recent sales but only has certain information about last month's sales. She currently offers ham, turkey and vegetarian sandwiches. She sells the ham sandwiches for $10 each and the turkey sandwiches for $11.25.

Last Month's Vegetarian Sales

Total Sandwiches Sold 75

Total Income $712.50

How much does Carmen charge for the vegetarian sandwich?

Answer:

 X=9.5

Step-by-step explanation:

From the question we are told that:

Total Vegetarian Sandwiches Sold T_{vs}=75

Total Vegetarian Sandwiches Income T_{vi}=$712.50

Generally the equation for Cost of vegetarian sandwich is mathematically given by

 X=\frac{Total\ income\ from\ vegetarian\ sandwich}{No.\ of\ vegetarian\ sandwich\ sold}

 X=\frac{T_{vi}}{T_{vs}}

 X=\frac{712.50}{75}

 X=\$9.5

5 0
3 years ago
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