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3 years ago

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In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when t

he tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?

1 answer:

Vladimir [108]3 years ago

3 0

Answer:

At most 8 hours

Step-by-step explanation:

Given

$Maximum = -20F$

$Rate = 6.5/hour$

$Base\ Temperature =-72F$

Required

Determine the time taken

Represent time by t.

The relationship between all parameters is:

$Maximum = Base\ Temperature + Rate * t$

$Base\ Temperature + Rate * t \leq Maximum$

This is so (≤) because, according to the question, the temperature can not exceed the maximum.

So, we have:

$-72 + 6.5*t \leq -20$

$-72 + 6.5t \leq -20$

Collect Like Terms

$6.5t \leq -20 + 72$

$6.5t \leq 52$

Solve for t

$t \leq 52/6.5$

$t \leq 8$

<em>Hence, they have at most 8 hours</em>

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Answer:

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3 years ago

2x^2+9x-35 factor or foil

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3 years ago

Read 2 more answers

*This Question Has 3 Questions in it

olchik [2.2K]

Answer:

Ques 1: 7.85

Ques 2: both $\sqrt{0.25}$ and $-\sqrt{16}$ are rational.

Ques 3: 0.9

Step-by-step explanation:

Ques 1:

Solving the $\sqrt{61.6}$ , we get 7.8485.

Rounding off to nearest hundredth, we see that next digit is 8, so we increase the previous digit by 1.

So, the answer to nearest hundredth is 7.85.

Ques 2:

$\sqrt{0.25}$ and $-\sqrt{16}$ to be checked whether they are rational or irrational.

We know that $\sqrt{16}$ is equal to 4.

$-\sqrt{16}$ = -4 which is a rational value.

Let us solve $\sqrt{0.25}$ now.

$\sqrt{0.25} = \sqrt{\dfrac{25}{100}}\\\Rightarrow \dfrac{5}{10}$

Which is a rational value.

So, both are rational.

Ques 3:

Simplify $\sqrt{0.81}$

0.81 can be written as $\frac{81}{100}$ in rational form.

Now, taking the square root, we need to take the square root for both Numerator and Denominator and then we can divide to get the desired square root.

$\sqrt{0.81} = \sqrt{\dfrac{81}{100}}\\\Rightarrow \dfrac{9}{10} = \bold{0.9}$

So, the answers are:

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Ques 2: both $\sqrt{0.25}$ and $-\sqrt{16}$ are rational.

Ques 3: 0.9

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3 years ago

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gavmur [86]

Answer:

Step-by-step explanation:

<h3>Equation of the line in slope- intercept form:</h3>

$\sf \boxed{\bf y = mx +b}$

Here, m is the slope and b is the y-intercept

Find the slope with the given two points.

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Slope = -2/3 and choose any one the given points.

Substitute m = -2/3 and (5,6) in the above equation and find 'b'

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Equation of the line:

$y = \dfrac{-2}{3}x + \dfrac{28}{3}$

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