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2 years ago

If two lines are perpendicular to each other, do they lie in the same plane?

Mathematics

1 answer:

Arada [10]2 years ago

8 0

Yes they do, Hope this helps :p

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At a currency exchange, 11 U.S. dollars can be exchanged for 10 Euros. How many Euros will you receive for 1 U.S. dollar?

boyakko [2]

You are given
.. 11 dollars = 10 euros

Divide this equation by 11 to find the euro value of 1 dollar
.. 1 dollar = 10/11 euros

About 0.91 euros

___
The decimal equivalent of 10/11 is the repeating decimal fraction 0.909090...

4 0

3 years ago

What is the equation that models the sequence 6,12,24,48

labwork [276]

The equation that models the sequence is: 6+6 each time.

8 0

3 years ago

Read 2 more answers

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

A conservation biologist is observing a population of mule deer being affected by an unknown virus. Initially there were 125 ind

kondaur [170]

P=125(1-0.04)^n
..............

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3 years ago

pamela bought two caps at $9 each (c).she also bought two jean shirts that together cost her $70 (j). if she got a discount of $

enot [183]

Answer:

$71

Step-by-step explanation:

9 + 70 - 8 = 71

8 0

3 years ago