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Vinvika [58]
3 years ago
14

A bacteria population is 3000 at time t = 0 and its rate of growth is 1000 · 8t bacteria per hour after t hours.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
4 0
P=3000x e^( 1000 x 8t )is the function
t is time, so "after a hour" means that the t is 1.
The problem is asking for the population, which is P
Substitute t for 1 and you obtain:
P= 3000 x e^(1000 x 8 x 1)
P=3000e^8000
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On Tuesday the temperature is 1 ºC. By Wednesday it has dropped to –2 ºC. The temperature drops by twice as much from Wednesday
Finger [1]

Answer: -8^{\circ}C

Step-by-step explanation:

Given

The temperature on Tuesday is 1^{\circ}C

Temperature drops to -2^{\circ}C on Wednesday

Net drop in temperature 1-(-2)=3^{\circ}C

The temperature drops twice from Wednesday to Thursday

\Delta T=2\times 3=6^{\circ}C

Temperature on Thursday

\Rightarrow -2-6=-8^{\circ}C

3 0
2 years ago
What is the value of x? Round your answer to the nearest tenth if necessary.
katen-ka-za [31]

So to start off:

The equation you will want to use for the hypotenuse is

A (squared) + B (squared) = C (squared)

So you will want to fill in the equation like so:

7(7) + 4(4) = C (squared)

So now that you have your information filled out, put it all together!

49 + 16 = 65

Now don't forget that the 65 is SQUARED!

You will want to use the SQUARE ROOT method to help with that!

So what you will want to do is think of the numbers that are PERFECT SQUARES.

A perfect square consist of

Here is the list of perfect squares 1-10:

1 x 1 = 1

2 x 2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

8 x 8 = 64

9 x 9 = 81

So look closely at these perfect squares, Do you see where 65 will lie?

It will lie between 8 and 9.

So you will do the square root now.

√65

The answer will come out as:

<span>8.06225775</span>

<span>You will then round it to the nearest tenths place (one after the decimal)</span>

You will look at the two numbers behind the decimal which is

0.6.

As you know,(If you round the tenths place), if the number in the hundredths is 5 or HIGHER. It will round up the number in the tenths place to 1.

So as we know 6 is higher than 5 so your answer would be:

8.1

I hope this helped! :)

>^.^<

(      )~


3 0
3 years ago
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Ms. Cross’s fifth-grade class was planning a bake sale to make money for new equipment for the school grounds. Maia said, “Let’s
aleksley [76]

Answer:

vug7f

Step-by-step explanation:

jyu7tfytf65

3 0
3 years ago
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How is the Pythagorean theorem related to the distance<br> formula?
Eddi Din [679]

Answer:

The distance formula is a formalization of the Pythagorean Theorem using (x,y) . They are the same thing (but the distance formula is for working out the distance between two points and Pythagoras theorem is for working out the missing length in a right-angled triangle) in two different contexts.

Step-by-step explanation:

6 0
3 years ago
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A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an all
Ann [662]

Answer:

"24 pounds" is the appropriate answer.

Step-by-step explanation:

According to the question, the equation will be:

⇒ x+y=60...(equation 1)

or,

⇒ \frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60

      55x+30y=2400...(equation 2)

Now,

By multiplying (equation 1) by 55 and (equation 2) by 1, we get

⇒ 55x+55y=3300...(equation 3)

⇒ 55x+30y=2400...(equation 4)

From equation 3 and 4, we get

⇒ 25y=900

       y=\frac{900}{25}

          =36

By putting the values of "y" in equation 1, we get

⇒ x=60-36

       =24

Thus the value of x be "24 pounds".

3 0
2 years ago
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