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3 years ago

Name the slope and the y intercept for the equation y= 5x -7

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

7 0

Answer:

The slope is 5 and the y intercept is -7

Step-by-step explanation:

the x value coefficient is the slope, and the coefficient with no variable is your y intercept

NeTakaya3 years ago

4 0

Answer:

The slope is 5x and the y-intercept is -7

Step-by-step explanation:

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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

4 years ago

A rectangular auditorium seats 3332 people. The number of seats in each row exceeds the number of rows by 19. Find the number of

Amiraneli [1.4K]

Answer:175.368421

Step-by-step explanation:

I'm not sure if this is right but I think you have to divide the 3,332 people by the 19 rows.

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2 years ago

HELP EASY POINTS!

aleksklad [387]

Answer:

y= 3x

Step-by-step explanation:

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3 years ago

Identify the parameters in y = a*bkx.

Natasha2012 [34]

Convention in algebra is that we use letters such as a, b, c, etc., for parameters and letters such as x, y z, and so on, for variables.

Thus the parameters here are a, b and k. k is the constant of proportionality.

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Writing to Explain Suppose you have a 100-mL cup, you can a 500-mL cup. List two different ways

Misha Larkins [42]

5 100ml cups and 1 500 ml cup

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