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soldi70 [24.7K]

3 years ago

13

A cyclist has rode his bike 174 miles in 3 hours. If he continues at this rate, how long would it take him to complete another 4

06 miles?

1 answer:

In-s [12.5K]3 years ago

6 0

Answer:

7 hours

Step-by-step explanation:

174/3 is 58 miles per hour so 406/58 is 7 hours

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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

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

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

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

$\Rightarrow t=16.34$

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Oksana_A [137]

Step-by-step explanation:

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Lynna [10]

Answer:

slope is 1/3

Step-by-step explanation:

In between the points, you go up one, and forward 3. it can't be a negative slope cause it aint going down. And the slope of 3 is steep last time I checked.

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Step-by-step explanation:

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What is the answer <br> simplify 2(5x+3)-2(2x-3)

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Answer:Use this PEMDAS to solve

Step-by-step explanation:

Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.

ALWAYS DO P FIRST!!!!

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2 years ago

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