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1 year ago

I need the answers for finding functions worksheet!

Mathematics

1 answer:

yaroslaw [1]1 year ago

4 0

Answer:

1. C 6. B

2. D 7. B

3. B 8. B

4. D 9. B

5. D 10. A

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Two trucks leave a warehouse at the same time. one travels due west at an average speed of 49 miles per hour, and the other trav

Gre4nikov [31]

Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.

So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.

4 0

2 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:

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

3 0

2 years ago

How do you write an equation of a line that is parallel line to y=8x-8 through the point (5,2)

Andreyy89

Parallel means that the two equations have the same slope,

so we have y = 8x + b so far.

Then we can just apply the slope to the given point by taking the y value and decreasing it by 40, due to the x value being 5

So in short, the equation that runs parallel to y = 8x-8 and intersect the point (5,2) is y = 8x -38

8 0

2 years ago

What is the missing length? 6.1 km p area=19.52 km2

Advocard [28]

The missing length is 3.2 km

Area=LxW

3 0

2 years ago

Is w = 9 a solution to the equation 14 - w = 23?

Len [333]

Answer:

Step-by-step explanation:

14 - 9 = 3

3 < 23

6 0

2 years ago

Read 2 more answers