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3 years ago

39 ft/min= ____ yd/s explain your reasoning

Mathematics

2 answers:

dimulka [17.4K]3 years ago

7 0

1yd=3ft...so 39ft=(39/3)=13yds

1mins =60seconds

13/60=0.22yds/secs

musickatia [10]3 years ago

6 0

Answer:

0.216667

Step-by-step explanation:

1 yard= 3 feet

1 min = 60 seconds

Therefores

1 yd/ min= 180 ft/sec

39/ 180 = 0.216667 yd/s or

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If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours

Ivenika [448]

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

$P(t)=P_0e^{kt}$

Where, $P_0$ is the initial value, k is the growth constant and t is the number of years.

Putting $P(t)=15000,P_0=3000, k=2.8$ in the above formula, we get

$15000=3000e^{2.8t}$

$\dfrac{15000}{3000}=e^{2.8t}$

$5=e^{2.8t}$

Taking ln on both sides, we get

$\ln 5=\ln e^{2.8t}$

$1.609438=2.8t$ $[\because \ln e^x=x]$

$\dfrac{1.609438}{2.8}=t$

$0.574799=t$

$t\approx 0.575$

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2 years ago

Solve the system of linear equations by elimination 2x+7y=1 2x-4y=12

pishuonlain [190]

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