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2 years ago

What is the rate of change for EACH function?

Mathematics

1 answer:

kari74 [83]2 years ago

5 0

Answer:

2 for graph 1/2 for equation

Step-by-step explanation:

the rate of change is just another word for slope

using the equation rise/run the slope is 2/1 for the graph

but tin the equation the rate of change is 1/2

(the function is not equal to the graph.)

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I need answer. Please help me.

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3 years ago

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The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

$800=500(2)^\frac{t}{24}$

On simplification we get

$\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}$

Taking log on both sides we get

$\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}$

using $\log\frac{m}{n}=\log m-\log n$

And $\log a^m=m\log a$

$\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2$

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

$\Rightarrow 0.903-0.698=\frac{t}{24}0.301$

$\Rightarrow 0.205=\frac{t}{24}0.301$

$\Rightarrow \frac{0.205}{0.301}\cdot 24=t$

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3 years ago

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(True or false)car traveling 20 meters per hour east of the mountain pass is example of velocity

stiv31 [10]

I believe the answer is True

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2 years ago

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What is the ratio of 5 whales and 5 fish?

abruzzese [7]

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1 year ago

If angle LMPis 11 degrees more than angle NMP and angle NML is 137 find each measure.

OLEGan [10]

Answer:

angle NMP = 63°

angle LMP = 74°

Step-by-step explanation:

Let angle NMP be x° . It's given that angle LMP is 11° more than angle NMP. So, angle LMP = x° + 11°

But angle NML = 137°.

So,

angle NMP + angle LMP = 137°

=> x° + x° + 11° = 137°

=> 2x° + 11° = 137°

=> 2x° = 137° - 11°

= 126°

=> x° = 126/2 = 63°

angle NMP = 63°

angle LMP = 63 + 11 = 74°

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3 years ago

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