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Morgarella [4.7K]
3 years ago
6

Derek and his friend shared two small pizzas. derek ate 7/6 of the pizzas. which mixed number shows how much pizzza derek ate?

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0
3 1/2 fgaiybgtwvrfgfyriwgfbvyiargfrwhagvbfyrti
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sineoko [7]

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a falling object travels a distance given by the formula d=5t + 16t^2 ft, where t is measured in seconds. how long will it take
Butoxors [25]

Its given that

d=5t+16t^{2}

We need to find t when d = 74

Therefore, 74=5t+16t^{2} or

16t^{2}+5t-74 = 0

16t^{2}+37t-32t-74 = 0

t(16t + 37) - 2(16t + 37) = 0

(t - 2)(16t + 37) = 0

t - 2 = 0 or 16t + 37 = 0

t couldn't be negative.

Therefore, t = 2

Hence, it will take 2 seconds for the object to travel 74 feet.










8 0
3 years ago
Read 2 more answers
A one-parameter family of solutions of the DE P' = P( 1 - P) is given below. P = c1et/1 + c1et Does any solution curve pass thro
topjm [15]

Answer:

a. The curve P(t) = -\frac{6e^t}{5-6e^t} passes through the point (0, 6)

b. No solution of the curve P(t) passes through the point (0, 1)

Step-by-step explanation:

Consider the family of the solution of DE P' = P(1 - P) is P = \frac{c_1e^t}{1 + c_1e^t}

a. If any solution passes through the point (0, 6), then there is c_1 such that the point (0, 6) satisfies the solution P = \frac{c_1e^t}{1 + c_1e^t}

Substitute t = 0, P = 6 in P = \frac{c_1e^t}{1 + c_1e^t} and then solve the equation to obtain c_1

P(t) = \frac{c_1e^t}{1 + c_1e^t}\\P(0) = \frac{c_1e^0}{1+c_1e^0}\\ 6 = \frac{c_1}{1 + c_1}\\ c_1 =  -\frac{6}{5}

Therefore, the curve P(t) = -\frac{6e^t}{5 - 6e^t} passes through the point (0, 6)

b.  If any solution passes through the point(0, 1), then there is c_1 such that the point (0, 1) satisfies the solution P = \frac{c_1e^t}{1+c_1e^t}

P(t) = \frac{c_1e^t}{1 + c_1e^t}\\ P(0) = \frac{c_1e^0}{1 + c_1e^0}\\ 1 = \frac{c_1}{1+c_1} \\1 + c_1 = c_1

this is not possible

Hence, there is no curve P(t) that exists which passes through the point (0, 1)

4 0
3 years ago
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