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2 years ago

What is the solution to the linear equation?

Mathematics

2 answers:

Effectus [21]2 years ago

8 0

Answer:

p=1 is your answer

Step-by-step explanation:

bearhunter [10]2 years ago

3 0

Answer:

p = 1

Step-by-step explanation:

StartFraction 2 Over 5 EndFraction plus p equals StartFraction 4 Over 5 EndFraction plus StartFraction 3 Over 5 EndFraction

2/5 + p= 4/5 + 3/5p
p - 3/5p = 4/5 - 2/5
2/5p = 2/5
2p = 2
p = 1

Answer is 1

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A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca

77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

$N=N_0e^{-rt}$

N= Number of bacteria after t minutes.

$N_0$ = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

$N_0$ = 500

t=11 minutes

r=?

$N=N_0e^{-rt}$

$\therefore 200=500e^{-11r}$

$\Rightarrow e^{-11r}=\frac{200}{500}$

Taking ln both sides

$\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|$

$\Rightarrow {-11r}=ln|\frac{2}{5}|$

$\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}$

To find the time when there will be 50 bacteria remaining, we plug N=50, $N_0$ = 500 and $r}=\frac{ln|\frac{2}{5}|}{-11}$ in exponential decay equation.

$50=500e^{-\frac{ln|\frac25|}{-11}.t}$

$\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}$

Taking ln both sides

$\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|$

$\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}$

$\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}$

$\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}$

$\Rightarrow t\approx 28$ minutes

There will be 50 bacteria remaining after 28 minutes.

3 0

3 years ago

Identify the terms and like terms in the expression

snow_tiger [21]

Answer:

2nd option is correct as it has represented all the terms of the expression.

3 0

2 years ago

Help me with this please it's important pleaseeeeeeeeeeeeeeeeee frindes

Stells [14]

Answer:

27-64

Step-by-step explanation:

cheating in tests are bad, searching for answers in tests is also bad

but the range is 27-64

3 0

2 years ago

Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!

Natalka [10]

Answer:Solve this system by substitution (3 variables) brainliest answer goes to first answer and 8 points!

-x -y -z = -8

-4x +4y +5z = 7

2x+2z=4

Show steps please!

Step-by-step explanation: a-z=3-2=657u568959jb5j656856 thats the answer your welcome

4 0

2 years ago

What is the value of f(3)?

Anni [7]

Answer:

-12

Step-by-step explanation:

Note that when x < 6, you will use the expression -4x

f(x) = -4x

Plug in 3 for x

f(3) = -4(3)

Simplify. Multiply

f(3) = -4(3)

f(3) = -12

-12 is your answer

5 0

2 years ago