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3 years ago

Evaluate the function: f(x)= 2x+5, for x=3

Mathematics

2 answers:

JulijaS [17]3 years ago

8 0

Replace X with 3 and simplify. The answer you would get is 11.

Paha777 [63]3 years ago

3 0

2(-3)+5=-6+5=-1 negative 1

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Cant see it its cut off

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3 years ago

After swimming 50 feet below the surface of the water, a

marissa [1.9K]

Answer:

20, c

Step-by-step explanation:

50-30=20 Go 50 down a number line from 50, you're at 0, then go back up 30. Where are you at? 20 Hope this helps! Have a good day! :)

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3 years ago

A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t

11Alexandr11 [23.1K]

Answer:

Question 1: $dm/dt=0.2m$

Question 2: $m=Ae^{(0.2t)}$

Question 3: $m=10e^{(0.2t)}$

Question 4: $m=10g$

Explanation:

Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m

a) By definition: $m'=dm/dt$

b) Given: $rate=0.2m$

c) By substitution: $dm/dt=0.2m$

Question 2: Find the general solution of this equation. Use A as a constant of integration.

a) Separate variables

$dm/m=0.2dt$

b) Integrate

$\int dm/m=\int 0.2dt$

$ln(m)=0.2t+C$

c) Antilogarithm

$m=e^{0.2t+C}$

$m=e^{0.2t}\cdot e^C$

$e^C=A\\\\m=Ae^{(0.2t)}$

Question 3. Which particular solution matches the additional information?

Use the measured rate of 4 grams per hour after 3 hours

$t=3hours,dm/dt=4g/h$

First, find the mass at t = 3 hours

$dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g$

Now substitute in the general solution of the differential equation, to find A:

$m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976$

Round A to 1 significant figure:

A = 10.

Particular solution:

$m=10e^{(0.2t)}$

Question 4. What was the mass of the bacteria at time =0?

Substitute t = 0 in the equation of the particular solution:

$m=10e^{0}\\\\m=10g$

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3 years ago

Jayda is running around a track where 3 laps is 5km. She runs 6 laps in 20 min. What is her speed in min per km

zzz [600]

Answer:

2km/m

Step-by-step explanation:

6 laps = 10km

(because 3 x 2 = 6 and double 5km as well)

Distance divide time = speed

20 mins divided by 10km = 2km per minute

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3 years ago

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2 years ago