Mathematics High School

A swimming pool is treated periodically to control harmful bacteria growth.
The concentration of bacterial per cm³ after t days is given by
C(t)
[tex] = 30t^2 -240t + 500 [/tex]
in how many days after a treatment will be concentration be minimal ?
​

A Swimming Pool Is Treated Periodically To Control Harmful Bacteria Growth. The Concentration Of Bacterial

Answers

Answer 1

Answer:

The answer is 4

Step-by-step explanation:

[tex]c \: (t) = {30ft}^{2} = - 240t + 500[/tex]

For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).

Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):

[tex]c \: (t) = {at}^{2} + bt + c \\ \\ tm = - \frac{b}{2a} [/tex]

For the given function:

[tex]tm = - \frac{ - 240}{(2)30} = \frac{240}{60} = 4[/tex]

The minimum concentration of bacteria will be after 4 days.

Related Questions

Marco is saving money for summer camp. He saves the same amount of money each week. .After 4 weeks, he has saved a total of 60 dollars. After 5 weeks he had saved a total of 75 dollars. Create an equation that represents the only total money. y that Marco had had saved after x weeks.

Answers

Answer:

Step-by-step explanation:

(4, 60), (5, 75)

(75 - 60)/(5 - 4)= 15/1 = 15

y - 60 = 15(x - 4)

y - 60 = 15x - 60

y = 15x

Find the missing values in the ratio table. Then write the equivalent ratios

Forks= 16,8, {number}
Spoons= 10,{number}, 30

Equivalent ratios are 16 : {number}, 8 : {number} and {number}

Answers

Answer:

is B

Step-by-step explanation:

trust me dawg

Select the expression that can be used to find the volume of this rectangular prism. A. ( 6 × 3 ) + 15 = 33 i n . 3 (6×3)+15=33 in.3 B. ( 3 × 15 ) + 6 = 51 i n . 3 (3×15)+6=51 in.3 C. ( 3 × 6 ) + ( 3 × 15 ) = 810 i n . 3 (3×6)+(3×15)=810 in.3 D. ( 3 × 6 ) × 15 = 270 i n . 3

Answers

Answer:

D

Step-by-step explanation:

(3x6)x15=270 in

the volume formula is base times width times height.

Answer:

D

Step-by-step explanation:

i took the quiz

There are 15 counters. One-third of the counters are yellow . How many counters are yellow?

Answers

Answer:

5

Step-by-step explanation:

15 counters/3groups=5 counters per group

find the product of (5x+4)(5x-4)

Answers

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 4) + 4(5x - 4) ← distribute parenthesis

= 25x² - 20x + 20x - 16 ← collect like terms

= 25x² - 16

The school library has 2,469 books. Two-thirds of them are paperbacks. How many
books are paperbacks?

Answers

Answer:

2469 x 2/3= 1646

personally, I solve it by dividing the 2469 by 3 to get 1/3.

2469/3= 823

then, double it to get 2/3.

823x2= 1646

How many edges does the following shape have?​

Answers

Four edges I believe :))

The answer is 8 edges

the slope of the line that passes through the points (-2,-1) and (-2,7)

Answers

Answer:

The answer is zero.

Step-by-step explanation:

When you put the coordinates in the point-slope formula, it will be 7 - (-1) over  -2 - (-2), which is 8/0. When the denominator is zero in the fraction, the answer is zero.

What is the value of X? Pls I need it ASAP

Answers

Answer:

x=51

Step-by-step explanation:

166=13+3x

153=3x

51=x

I hope this is correct and helps you!

Pls I need help and don’t put that link

Answers

Bottom left :):):):)
uvs and tsv is the correct answer

Help please help I will reward 900 points and brainly!

Answers

Answer:

#171  -[tex]\frac{39}{4}[/tex]·a - [tex]\frac{53}{5}[/tex]

Step-by-step explanation:

after distributing:

-10a - 21/2 + 1/4a - 1/10 =

-39a/4 + (-105/10 - 1/10) =

-39a/4 - 106/10

Sorry I need points

16. Write the equation of the line graphed below.

A. Y= 2x-2
B. Y= -1/4x+2
C. Y= 1/4x+2
D. Y= 1/4x-2

Answers

Answer:

B) y = -[tex]\frac{1}{4}[/tex]x + 2

Step-by-step explanation:

slope is -1/4

y-intercept is 2

PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS
*also pls look at both images :)*

Answers

Answer:

First image: (6, -1)

2nd image: y = 63

Explanation:

1)

2x + y = 11

1/2x - 5y = 8

y = -2x + 11

1/2x - 5(-2x + 11) = 8

1/2x + 10x - 55 = 8

10.5x - 55 = 8

10.5x = 63

x = 6

2x + y = 11

2(6) + y = 11

12 + y = 11

y = -1

(x , y) = (6, -1)

2)

1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5

2y - 1.2 = 1.8y + 10.8 + 0.6

0.2y - 1.2 = 11.4

0.2y = 12.6

y = 63

Smoothies weren't cutting it so we went to Red Robin to order a burger. Our bill was $5.79. Avon has a 5.25% tax and our
waitress earned a 15% tip. What was the total bill?

Answers

Answer:

$6.96

Step-by-step explanation:

5.25% of 5.79

5.79 × 5.25/100 = $0.303975 or $0.30

15% of 5.79

5.79 × 15/100 = $0.8685 or $0.87

total

$5.79 + $0.30 + $0.87 = $6.96

Jake’s mom filled a 2-liter container with juice. Then Jake poured 2 glasses of juice. Each glass had exactly 400 milliliters of juice. How many liters of juice remain in the container?
12.00 liters
1.2 liters

Answers

Answer:

1.2

Step-by-step explanation:

1 liter = 1000 milliliters

if there’s two liters, that’s 2000 milliliters. the mom then poured 2 glasses each with 400 milliliters, or 800 milliliters in total. 2000 - 800 = 1200. 1200 milliliters converted into liters = 1.2 liters.

Answer:

1.2 liters

Step-by-step explanation:

Explain how to change a mixed fraction into an improper fraction.

Answers

Answer:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Step-by-step explanation:

Answer:

To do this you will need to multiply the denomenator by the whole number and then add the numerator to that number. After you get that the new numerayoer is the big number and the denomentapr stays the same.

Step-by-step explanation:

2 1/2

5/2

The hypotenuse of a right triangle measures 19 cm and one of its legs measures 2 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2

Answers

Answer:

18.9 cm

Step-by-step explanation:

Pythagorean Theorem --> A² + B² = C²

2² + B² = 19²

4 + B² = 361

B² = 357

√357 --> 18.89 --> 18.9

The measure of the other leg to the nearest tenth will be 18.9 centimeters.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The hypotenuse of a right triangle measures 19 cm and one of its legs measures 2 cm.

Let the other leg be 'x'. Then the measure of the other leg will be given as,

19² = x² + 2²

361 = x² + 4

x² = 361 - 4

x² = 357

Take square root on both sides, then we have

x = √357

x = 18.8944

x ≈ 18.9 cm

The measure of the other leg to the nearest tenth will be 18.9 centimeters.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Write an equation for the following problem and then solve the equation.
A number increased by -37 is-91.

Answers

Answer:bhbehrf

Step-by-step explanation:

I’ve attached my work below...
Hope this helps!

Help!! Please!! I need help

Answers

Answer:nossa

Step-by-step explanation: que orror you

Sherlyn paid for loaches and tetras. What is an algebraic expression that represents the total cost of the fish?

Answers

Answer:

many ways but i would do this.

leaches = L

tetras = T

so L x T

Leaches times Tetras.

Step-by-step explanation: give a symbol for the name of the mystery number like how many leaches or how many tetras so just make it into that but i dont know if you need it a specific way like divison, multiplication, addition, or subtraction. Hope it helped!

The dot plot shows a random sample of the number of fish caught and released by 30 participants during a two-day fishing derby. Two dot plots show the number of fish caught on days 1 and 2. The dot plot for day 1 has dots as follows: 3 above 1, 6 above 2, 6 above 3, 6 above 4, 6 above 6, and 3 above 6. The dot plot for day 2 has dots as follows: 3 above 1, 3 above 2, 4 above 3, 6 above 4, 7 above 5, and 7 above 6. Use the mean value of each data set to make an inference about the number of fish caught each day. On average, most participants caught and released 5 or more fish. More participants caught 6 fish than any other number. The same participants who caught and released 1 fish the first day caught and released 1 fish the second day. On average, participants caught and released more fish on Day 2.

Answers

A8-436873-658756780579y5

Step-by-step explanation:

help pls!! right answer = gets brainiest :)

Answers

Answer: Option 2.

Step-by-step explanation: 3x−4y=6

3x−4y+4y=6+4y

3x/3=4y+6/3

x=4/3y+2

7x-6y=9

7(4 /3 y+2)−6y=9

10 /3 y+14=9

10 /3 y+14+−14=9+−14

10 /3 y /10 /3 = −5 /10 /3

y= −3 /2

x= 4/ 3 y+2

x= 4 /3 ( −3 /2 )+2

x=0

x=0 and y= −3 /2

What is 9 x 2/3 as a fraction.

Answers

18/3
You just multiply the top by the whole number.
Simplified that’s 6, but since you want fraction form the first one is right.

The expression 9x2/3 can be written in fraction form as, 18/3

What is a fraction?

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

9 times 2/3 can be calculated by first converting 9 to a fraction and then multiplying that fraction by 2/3. To convert 9 to a fraction, we write it over 9/1 x 2/3

Next, we multiply the two fractions by multiplying the numerators (the top numbers) together and the denominators (the bottom numbers) together:

⇒ (9/1) x (2/3)

⇒ (9 x 2) / (1 x 3)

⇒ 18/3

So, 9 times 2/3 as a fraction is 18/3.

To know more about Fraction check:

https://brainly.com/question/8482939

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Is it a function or not a function?

Answers

Answer:

Not a function

Step-by-step explanation:

Fails the vertical line test

Answer:

No a circle is not a function.

Step-by-step explanation:

A function is a mapping from 1 set to another

eg, 1 to 2

3 to 4

while a circle it maps the same point to another

meaning it has more than two input/output

(if u get what i mean)

A cell phone plan costs $200 to start. Then there is a $50 charge each month. Is there a proportional relationship between time and the cost of the cell prone plan? Explain how you know?​

Answers

Answer:

.

Step-by-step explanation:

The equation is

y = 200+50x

This is not a proportional relationship because it does not go through the origin

If x=0, y does not equal 0

Scrieți următoarele fracții zecimale: a) trei zecimi; d) douăzeci și opt miimi;b) doi întregi și șapte sutimi; e) șase întregi și șapte sutimi;c) patruzeci și trei de miimi; f) nouă sutimi.

Answers

Step-by-step explanation:

a) trei zecimi 0.3

b) doi întregi și șapte sutimi  2.0 7

c) patruzeci și trei de miimi   0 .0 4 3  -

d) douăzeci și opt miimi 0.028

e) șase întregi și șapte sutimi. 6.07

f) nouă sutimi 0.09

For what value of x is 2x + 3 = 6x - 17 true?

Answers

Answer:

x = 5

Step-by-step explanation:

10 + 3 = 30 - 17

Show work and please

Answers

Equation is:
Y=mx +b
From the graph:
Y=-2x+8

What is the name of the thick, lower end of the digestive tract where solid waste is gathered and leaves the body?

1)esophagus

2)liver


3)large intestine


4)small intestine

Answers

Answer:

large intestine

in the large intestine there are 3 parts that are caecum colon and rectum. good is stored in the rectum until excreted

PLEASE HELP!!! Find the length of side x in simplest radical form with a rational denominator.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{x}{7}=\frac{1}{\sqrt{3}}\\ \\ x=\frac{7}{\sqrt{3}}\\ \\ x=\frac{7\sqrt{3}}{3}[/tex]

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