It is observed that a certain bacteria culture has a relative growth rate of 14% per hour, but in the presence of an antibiotic the relative growth rate is reduced to 5% per hour. The initial number of bacteria in the culture is 25. Find the projected population after 24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is present, so the relative growth rate is 14%.

Answers

Answer 1

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oFYORYODYIYDOCYODYODYODOYYDSOYSITTIsst.isti.ti.s.sitsi.ttsliyd.i.odygis.x.ittxi.x,jgxfj,.jtxtis.x.tii.ts.kdttic.

Answer 2

Answer:

24 hours for the following conditions. (Round your answers to the nearest whole number.) (a) No antibiotic is


Related Questions

A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?

Answers

1/7 is the answer to your question

7X^2+20x=24
X=?
Please answer to 2 d.p

Answers

Answer:

0.76

or

-0.76

hope this helps

Which set of numbers is included as part of the solution set of the compound inequality
x < 6 orx > 10?

Answers

Complete question is;

Which set of numbers is included as part of the solution set of the compound inequality

x < 6 or x > 10?

A) {–7, –1.7, 6.1, 10}

B) {–3, 4.5, 13.6, 19}

C) {0, 6, 9.8, 14}

D) {8.5, 9.1}

Answer:

B) {–3, 4.5, 13.6, 19}

Step-by-step explanation:

The given compound inequality x < 6 or x > 10 means that x must be less than 6 and greater than 10. And also that x cannot fall between 6 and 10.

Looking at the given options, the only set of values that fall into this compound inequality range is option B.

Which describes 9 and -9?

Answers

What error!!!!! Bbbbbbb

Answer:

opposite of each other

Hope this helps!

The mean of 5,7,9 show that the mean of these numbers is 7

Answers

Answer: 7

Step-by-step explanation:

5+7+9=21

3 total numbers to start with so;

21/3=7

Mrs. Tatum needs to share 4 fluid ounces of red paint equally among 5 art students. How many ounces of red paint will each student get?

Answers

Answer: [tex]\dfrac{4}{5}\ \text{ounces}\ \text{or}\ 0.8\ \text{ounces}[/tex]

Step-by-step explanation:

Given

There is 4 fluid ounces of red paint which needs to be shared among 5 students

So, division operation is needed to deduce the ounces of red paint each student will get

Each student get

[tex]\Rightarrow \dfrac{4}{5}\ \text{ounces}\ \text{or}\ 0.8\ \text{ounces}[/tex]

how to get the interval?

Answers

Step-by-step explanation:

Decide on the number of classes.

Determine the range, i.e., the difference between the highest and lowest observations in the data.

Divide range by the number of classes to estimate approximate size of the interval

hope it helps.

stay safe healthy and happy...

help me to do this please ​

Answers

Answer:

a)  (10×13) + 55 b) 185 Nu c)-75 or -205 (unsure of instruction)

Step-by-step explanation:

a) He spends 10 Nu a day for 13 days, meaning he has spent 10×13 Nu. He originally had this amount, plus the 55 he ends up with. This means he began with (10×13) + 55.

b) This can then be solved using BODMAS (or PEMDAS, whatever you call the order of operations).

We begin with the multiplication, which turns the expression to 130+55. We then move to addition, giving a final result of 185.

c) For this one, I'm not sure if it is if he did that from the beginning or from now, so I've done both.

If it's from the beginning, you would use 185-(20×13) to solve this. This gives 185-260, which solves to -75.

If it's from the point of 55 Nu, you would use 55-(20×13), which gives 55-260. This solves to -205.

**You may wish to revise writing integer expressions. I'm always happy to help!

Simplify n - {1 - [n - (1 - n) - 1]}

Answers

Answer:

3n - 3

Step-by-step explanation:

Answer:

3n-3

Step-by-step explanation:

n-1(1-n)-1 = n- 1 + n - 1 = 2n-2

1 - (2n-2) = 1 - 2n + 2

n - (1 - 2n + 2) = n - 1 + 2n -2 which equals 3n - 3

Find the percent of markup for $40 marked up to $59.75. Round to the nearest percent.

Answers

Answer:

49%

Step-by-step explanation:

Markup is the difference between the selling price and the cost divided by the cost times 100%

Cost = 40

Selling = 59.75

% = (59.75 - 40)/40 * 100%

% = (19.75 / 40) * 100%

% = 49%

how to convert centimeters to
decameter?
2,250 cm =______ decameter?​

Answers

2250 cm = 2.25 dm

because 1 centimeter (cm) is equal to 0.1 decimeter (dm). To convert centimeters to decimeters, multiply the centimeter value by 0.1 or divide by 10.

please may I get help please
whish way should I use ​

Answers

Answer: B.

Step-by-step explanation:

Data: Estimate of 7.21x3.86/10.09=x

Only step, Find the estimate for each number(7.21=7, 3.86=4, 10.09=10)

Explanation: How estimation work is that it numbers below 5 stays the same and numbers 5 and above round up so a number like 7.21 which has 2 and 1 as it's rounding numbers will stay the same however a number like 3.86 which has 8 and 6 as it's rounding numbers will round up

That's how we arrive at the answer of B.

I hope this helps(Mark brainliest if you'd like)

A household aquarium tank in the shape of a rectangular prism has a base length of 242424 inches (\text{in})(in)(, start text, i, n, end text, )and a base width of 15\,\text{in}15in15, start text, i, n, end text. The height of the water is 12\,\text{in}12in12, start text, i, n, end text above the base. During cleaning, 900900900 cubic inches of water is removed. What is the absolute value of the change in the height of the water in inches

Answers

Answer:

The absolute change in the height of the water is 9.5 inches

Step-by-step explanation:

Given

[tex]l =24in[/tex] --- length

[tex]w = 15in[/tex] --- width

[tex]h =12in[/tex] --- height

[tex]V_1 = 900in^3[/tex] --- the volume removed

Required

The absolute change in the height of the water

First, calculate the base area (b):

[tex]b = l * w[/tex]

[tex]b =24in * 15in[/tex]

[tex]b =360in^2[/tex]

The height of the water that was removed is:

[tex]H = \frac{V_1}{b}[/tex] i.e. the volume of the water removed divided by the base area

[tex]H = \frac{900in^3}{360in^2}[/tex]

[tex]H = \frac{900in}{360}[/tex]

[tex]H = 2.5in[/tex]

The absolute change in height is:

[tex]\triangle H = |h - H|[/tex]

[tex]\triangle H = |12in - 2.5in|[/tex]

[tex]\triangle H = |9.5in|[/tex]

[tex]\triangle H = 9.5in[/tex]

What is the radius of a sphere with a volume of 28526 in 3 , 28526 in 3 , to the nearest tenth of an inch?

Answers

Answer:

19.0 in

Step-by-step explanation:

From the question given above, the following data were:

Volume (V) of sphere = 28526 in³

Pi (π) = 3.14

Radius (r) =?

The radius of the sphere can be obtained as follow:

V = 4/3 πr³

28526 = 4/3 × 3.14 r³

28526 = 12.56r³ / 3

Cross multiply

12.56r³ = 28526 × 3

12.56r³ = 85578

Divide both side by 12.56

r³ = 85578 / 12.56

Take the cube root of both side

r = ³√(85578 / 12.56)

r = 19.0 in

Thus, the radius of the sphere is 19.0 in

what percentage of this 100 square grid is shaded. PLease i will mark your brainlist

Answers

I may think is 18. Hope this helps.

ILL GIVE YOU BRAINLIEST IF ANSWERED RIGHT!!!! If the quadratic equation has the form y = ax ^2and y = ax ^2+ c, then their axis of symmetry must always be?

Answers

Answer:

x = 0

Step-by-step explanation:

The axis of the symmetry has the same x coordinate of the vertex

V (x) = -b/2a

in both equations b is equal to 0 and a 0/a number different from 0 gives always 0 as a result

A computer company invested a total of $242 million in research and development in its scanners and video digitizers. If the amount the company spent on research and development on scanners was $95 million more than was spent on research and development on its video digitizers, how much in fact did the company spend on research and development on its scanners?

Answers

Answer:

$168,500,000

Step-by-step explanation:

Given that :

Total amount spent on both scanner and video digitizer research and development = $242,000,000

Let :

amount spent on scanner = x

Amount spent on video digitizer = y

Total amount spent, c = x + y

x = y + 95,000,000

Hence,

242000000 = y + 95,000,000 + y

242000000 - 95000000 = 2y

147,000,000 = 2y

y = $73,500,000

Hence, amount spent on scanners :

$73,500,000 + $95,000,000

= $168,500,000

Tina has a greenhouse in which she grows strawberries. The sprinkler system in the greenhouse sprays a fine mist to ensure the strawberries get enough water. The strawberries are watered for a total of 2 hours and 45 minutes every day and the temperature in the greenhouse is kept constant at 25 °C. The clock below shows the time each morning when the sprinkler system is switched off

Answers

Answer:

a) 9:11 am

b) 77°F

Step-by-step explanation:

a) From the clock shown in the image attached, we can see that the time that the sprinkler system is switched off is at 11:56 am. Since the strawberries are watered for a total of 2 hours and 45 minutes every day, the time that the sprinkler is switched on can be gotten by subtracting 2 hours 45 minutes from 11:56 am. Hence:

Time sprinkler system is switched on = 11:56 am - 2 hours 45 minutes = 9:11 am

b) Temperature in °Farenheit = (1.8 * temperature in degree Celsius) + 32°

Temperature in °Farenheit = (1.8 * 25°) + 32° = 45° + 32°

Temperature in °Farenheit = 77°F

Given tan t = 2/3 and that pi <= t <= 3pi/2. Find exact value for each of the following:

a) sec t
b) cos t
c) sin t
d) csc t
e) cot t

Answers

well, first off let's notice something about angle "t", is between π and 3π/2, or namely the III Quadrant, where both "x" or adjacent side as well as "y" or opposite side are negative.

something else noteworthy is that, the hypotenuse is just a radius length and thus is never negative.

[tex]tan(t)=\cfrac{2}{3}\implies tan(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{adjacent}{-3}}\qquad \textit{let's find the hypotenuse} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c =\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ c=\sqrt{(-3)^2+(-2)^2}\implies c = \sqrt{9+4}\implies c = \sqrt{13}[/tex]

[tex]\rule{34em}{0.25pt}\\\\ sec(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{adjacent}{-3}}~\hfill cos(t)=\cfrac{\stackrel{adjacent}{-3}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-3\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-3\sqrt{3}}{13}[/tex]

[tex]sin(t)=\cfrac{\stackrel{opposite}{-2}}{\underset{hypotenuse}{\sqrt{13}}}\implies \cfrac{-2\cdot \sqrt{13}}{\sqrt{13}\cdot \sqrt{13}}\implies \cfrac{-2\sqrt{13}}{13} \\\\\\ csc(t)=\cfrac{\stackrel{hypotenuse}{\sqrt{13}}}{\underset{opposite}{-2}}~\hfill cot=\cfrac{\stackrel{adjacent}{-3}}{\underset{opposite}{-2}}\implies \cfrac{3}{2}[/tex]

C sin bc I just know it

What is the length of leg s of the triangle below?
45
3
1072
90°
45
$

Answers

Can you please repost with the image?

The length of the leg is 9.

What is the Pythagorean theorem?

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From the triangle,

S = length of the leg.

Now,

Applying the Pythagorean theorem.

√18² = 3² + s²

18 = 9 + s²

s² = 18 - 9

s² = 9

s = 9

Thus,

The length of the leg is 9.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ7

If f(x) = x2 – 1, and
g(x) = x + 2, then
f(g(x)) = [ ? ]x2+[ ]x+]

Answers

Answer:

f(g(x)) = x^2+4x+3

Step-by-step explanation:

f(x) = x^2 – 1

g(x) = x + 2

f(g(x))=g(x)^2-1=(x+2)^2-1=x^2+4x+4-1=x^2+4x+3

On George's block, the ratio of cars to houses is 8 to 5. There are 32 cars, how many houses are there?

Answers

Answer:

Step-by-step explanation:

20 houses

Answer:

20

Step-by-step explanation:

You would set it up as 8:5=32:x. Since you are multiplying the number of cars by 4, you should do the same with houses. This gives 32:20, meaning there are 20 houses on the block.

**You may want to revise multiplying and dividing with ratios. I'm always happy to help!

Informal settlers who live nearby coastal areas and river side throw away about 4 million disposable diapers per year. how many diapers are thrown away each month??.


need help ༼ つ ◕_◕ ༽つ

Answers

Answer:

333,333 Three hundred and thirty-three thousand , three hundred and thirty-three

Step-by-step explanation:

4000000/12

two thirds take away one half

Answers

Answer:

0.16666666666 is the answer of two thirds take away one half.

1/1 because your taking away 2/3-1/2

Hey, could you help me? Thank you

Answers

Answer:

Step-by-step explanation:

you see 12=12 (side)

6=6 (side)

116°=116°(angle between sides)

now what can be the answer?

two sides and one angle equal

so SAS

ANSWER PLZ WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

3x^2

Step-by-step explanation:

Please help me ASAP tysm

Answers

C. Mandy made 4 bows with 2/3 yard left

Maria collected some stones at the beach. Now she wants to make a clear plastic container to display the stones. To plan the container, Maria decides that she must first find the volume of the stones. Maria had an aquarium that is shaped like a rectangular parish. It's 8 inches wide, 16 inches long and 10 inches high. Maria pours some water onto the aquarium. She finds that the water reaches to the height of 4 inches. Find the volume of the water in the aquarium. Next, Maria now puts the stones on the aquarium. She measures and finds that the water reaches to new height of 7 inches. Find the volume of the stones

Answers

Answer:

The volume of the stones is 382 cube inches.

Step-by-step explanation:

The dimensions of the aquarium are;

length = 16 inches

width = 8 inches

height = 10 inches

The height of the water in the aquarium = 4 inches

i. Volume of the water in the aquarium = length x width x height

                               = 16 x 8 x 4

                               = 512 cube inches

The volume of water in the aquarium is 512 cube inches.

ii. The new height of water = 7 inches.

New volume of water = 16 x 8 x 7

                                  = 896 cube inches

The new volume of water is 869 cube inches.

The volume of the stones = New volume of water - initial volume of water

                                  = 869 - 512

                                  = 384 cube inches

The volume of the stones is 382 cube inches.

Please help find the diagonal distance thank you

Answers

Answer:

[tex]\huge\boxed{c=17\ ft}[/tex]

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have:

[tex]leg=15ft\\leg=8ft\\hypotenuse=c[/tex]

Substitute:

[tex]c^2=15^2+8^2\\\\c^2=225+64\\\\c^2=289\to c=\sqrt{289}\to c=17(ft)[/tex]

The value of the expression StartFraction 2 x squared Over x EndFraction plus x (100 minus 15 x) when x = 5 is.

Answers

Answer:

C. 135

Step-by-step explanation:

The value of the expression when x = 5 is 135.To find the value of the expression when x = 5, substitute the value of x into the expression and perform the calculations:

Expression: [tex](2x^2 / x) + x(100 - 15x)[/tex]

Now, replace x with 5:

[tex](2 * 5^2 / 5) + 5(100 - 15 * 5)[/tex]

Calculate the values within the parentheses first:

[tex](2 * 25 / 5) + 5(100 - 75)[/tex]

Now, perform the arithmetic inside each set of parentheses:

[tex](50 / 5) + 5(25)\\50 / 5 = 10[/tex]

Now, continue:

10 + 5 * 25 = 10 + 125 = 135

So, the value of the expression when x = 5 is 135.

To know more about expression :

https://brainly.com/question/34132400

#SPJ2

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