The population p(t) of a culture of the bacterium Pseudomonas aeruginosa is given by ,p(t)= -1683t^2+75,000t+ 10,000 where is the time in hours since the culture was started. Determine the time the population was at its maximum. Round to the nearest hour.

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Answer:

  x + 4y = 12

Step-by-step explanation:

The perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. Then those new coefficients can be used with the coordinates of the given point to find the required constant.

  line: 4x -y = 4

  perpendicular line: x +4y = constant

Through (0, 3):

  0 +4(3) = constant = 12

The perpendicular line has standard form equation x +4y = 12.

Answer:

Step-by-step explanation:

y=-1/4x+3

Answer:

- q

Step-by-step explanation:

p - ( p + q )

= p - p - q

= - q

p - q - p

= p - p - q

= - q

Common difference is - q.

Answer:

Storage solution;  deionized water; stabilizes

Step-by-step explanation:

A pH scale measures the concentration of hydrogen ions in acidic and alkaline solutions.

In chemistry, pH literally means the power of hydrogen ions and it is a measure of the molar concentration of hydrogen ions in a particular solution; thus, specifying the acidity, neutrality or basicity of any chemical solution.

Mathematically, the pH of a solution is given by the formula;

[tex] pH = -log_{10}(H^{+}) [/tex]

On a pH scale, a solution with a pH of 7 is neutral, a solution with a pH below 7 is acidic and it's basic (alkaline) when it's pH is above 7.

A pH meter can be defined as a scientific instrument or device designed and developed for the measurement of the hydrogen-ion concentration in water-based solutions, in order to determine their level of acidity or alkanility.

As a general rule, when using a pH meter to take a measurement, you should keep it in a storage solution until it is needed. Also, a deionized water should be used to rinse the pH meter and gently pat dry.

Furthermore, the pH meter should be placed in a given sample solution and a reading of the measurement taken when the pH of the solution stabilizes

When taking a measurement with a pH meter, keep the instrument in the storage solution until it is needed. Rinse the pH meter with distilled water and gently pat dry.

The pH meter has been the instrument used for the measurement of the hydrogen ion concentration in a sample. The instrument has consisted of a probe that has been placed in the storage medium when it is not in use.

The working procedure of the pH meter has required the washing of pH meter with the distilled water and properly removing the excess water from the probe by pat dry.

The probe has been immersed in the sample and the pH has been recorded. After the experiment, the instrument has been again washed with the distilled water and get stored in the storage solution.

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9514 1404 393

Answer:

  (d) enlargement with scale factor greater than 1

Step-by-step explanation:

The image is obviously larger than the pre-image, so the dilation is an enlargement. The scale factor associated with an enlargement is always greater than 1.

__

Additional comment

In this drawing, the scale factor in the vertical direction is 8/2.5 = 3.2. The scale factor in the horizontal direction is 9/3 = 3.0. The scale factors are different in the different directions.

Answer:

D.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Put the given numbers in the relevant formula and do the arithmetic.

right cylinder

   V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³

cone

  V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³

pyramid of unknown shape

  V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³

square pyramid

  V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³

Answer:

Second one(Not sure)

Step-by-step explanation:

I believe the system doesn't have an exact answer. But the line are parallel because of (3).

Answer:

y = 100 - 8(n - 1)

Step-by-step explanation:

I. if n = 1 or 1st year = 100 - 8(1-1) is 100

  if n = 2 or 2nd year = 100 - 8(2-1) is 92

  if n = 3 or 3rd year = 100 -8(3-1) is 84

Hope it'll help.

Answer:

Sam is 20 years old.

Answer:

A)

Step-by-step explanation:

what is C ? 6 ?

if that is the case, then my answer is A) 8

why ? because then the other 2 sides together are just as long as this third side, and we would have just a flat line with the length of 8.

every side in a triangle must be shorter than the other two sides together.

but - fully formally such a flat line could be considered a special triangle with 2 angles of 0 degrees and one angle of 180 degrees.

that is why I am asking about the missing C answer. it could be a trick question. but if C is truly 6, then yes, A is the right answer. if C is larger than 8, then C is the right answer.

Cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

" Cube root is defined as the number when multiply three times and produce result as one original number one time."

According to the question,

Given expression,

[tex]\frac{16y^{4} }{x^{6} }[/tex]

Cube root of the given expression is,

[tex]\sqrt[3]{\frac{16y^{4} }{x^{6} }} \\\\\implies \sqrt[3]{\frac{(2)^{3}(2) y^{3} (y)}{(x^{2}) ^{3} }}\\\\\implies \frac{2y}{x^{2} } \sqrt[3]{2y}[/tex]

Hence, cube root of the given expression [tex]\frac{16y^{4} }{x^{6} }[/tex] in simplest form is equals to [tex]\frac{2y }{x^{2} }\sqrt[3]{2y}[/tex].

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Answer:

B on edge

trust me bro

Here is your Answer

Step-by-step explanation:

Ravi bought rice = 50kg

Rate it =40kg

Sold it at the rate = = 44kg

Answer:

D ( It may be because I think other two are non relative )

Answer:

b) 1\2

Step-by-step explanation:

Answer:

58 degrees

Step-by-step explanation:

90 - 32 = 58

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Answer:

  9 m

Step-by-step explanation:

The relationship between radius and circumference is ...

  C = 2πr

Daphne wants r an integer such that ...

  60 m ≥ 2πr

  r ≤ (60 m)/(2π)

  r ≤ (30/π) m ≈ 9.549 m

The largest integer radius Daphne can use is 9 meters.

Answer:

Relationship exists between price and overall score

Step-by-step explanation:

Given the data:

Brand Price Score

Bose 180 76

Scullcandy 160 76

Koss 95 69

Phillips/O'Neill 70 58

Denon 80 50

JVC 35 26

Using the correlation Coefficient calculator ; the correlation Coefficient, R = 0.875

H0 : no relationship exists

H1 : relationship exists

Using the R Coefficient ;

The test statistic :

T = r / √(1 - r²) / (n - 2)

n = 6

The test statistic :

T = 0.875 / √(1 - 0.875²) / (4)

T =0.875 / 0.05859375

T = 0.9333

The Pvalue from test statistic :

df = n - 2 ; 6 - 2 = 4

Pvalue(0.933, 4) = 0.02246

At α = 0.05

Pvalue < α ; We reject H0 ; and conclude that relationship exists between price and overall score

Answer:

see your answer in the image

with full detail

mark me brainlist

Step-by-step explanation:

Answer:

(3,0) , (1.0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer

I guess

39 different choice are available

Answer:

Area = 12.82 miles²

Step-by-step explanation:

Area of a triangle with two adjacent sides and the inscribed angle between these side is given by,

Area = [tex]\frac{1}{2}ab[\text{sin(C)}][/tex]

By substituting the values of sides a, b and the angle C,

Area = [tex]\frac{1}{2}(5.7\times 9.3)[\text{sin}(14^{\circ})][/tex]

        = 12.82 square miles

Answer:

x = ±4

Step-by-step explanation:

Hi there!

[tex]x^2-16=0[/tex]

Move 16 to the other side

[tex]x^2=16[/tex]

Take the square root of both sides

[tex]\sqrt{x^2}=\sqrt{16}\\x=\pm4[/tex]

I hope this helps!

Answer:

[tex]P(80/100<x<100/100)=0.08[/tex]

Step-by-step explanation:

We are given that

Mean,[tex]\mu=68.5[/tex]%=68.5/100

Standard deviation, [tex]\sigma=8.2[/tex]%=8.2/100

We have to find the probability that a student who wrote the examination had a mark between 80% and 100%.

[tex]P(80/100<x<100/100)=P(\frac{80/100-68.5/100}{8.2/100}<\frac{x-\mu}{\sigma}<\frac{100/100-68.5/100}{8.2/100})[/tex]

[tex]P(80/100<x<100/100)=P(1.40<Z<3.84)[/tex]

We know that

[tex]P(a<Z<b)=P(Z<b)-P(Z<a)[/tex]

Using the formula

[tex]P(80/100<x<100/100)=P(Z<3.84)-P(Z<1.40)[/tex]

[tex]P(80/100<x<100/100)=0.99994-0.91924[/tex]

[tex]P(80/100<x<100/100)=0.0807\approx 0.08[/tex]

Answer:

(f - g)(2) = -8

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x²

g(x) = 5x + 2

Step 2: Find

Answer:

I belive i is 5

Step-by-step explanation:

The types of triangles are: equilateral, isosceles, scalene, right angled, acute angled and obtuse angled triangle.

Triangles are plane shapes with three straight sides. Triangles are classified with respect to either their length of sides, or the measure of each internal angles.

1. Classification of triangles with their length of sides:

i. Equilateral triangle: This implies a triangle with equal length of sides.

ii. Isosceles triangle: This triangle has two of its side with equal length.

iii. Scalene triangle: In this triangle, non of its sides has equal length.

2. Classification of triangles with their internal angles:

i. Acute angled triangle: This triangle has all its angles less than [tex]90^{o}[/tex].

ii. Right angled triangle: This has one of its angles to be a right angle.

iii. Obtuse angled triangle: This triangle has one of its internal angles to be greater than [tex]180^{o}[/tex].

Therefore, there are generally six types of triangles of two classes.

Resources: Set squares, triangular prism, marking board and a marker etc.

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Answer:

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both side of the equation)

Division property of equality (15 is being devided in both side of the equation)

Brainliest please~

The reason for each step will be

Distributive property (-5 is being multiplied to x and - 6)

Addition property of equality (5x is being added in both sides of the equation)

Division property of equality (15 is being divided into both sides of the equation)

We can solve mathematical equations thanks to algebra's inherent characteristics. The algebraic properties are distributive property, addition property of equality, and division property of equality.

Given expressions are:-

-5x + 30 = 10x

30 = 15x

2 = x

-5x + 30 = 10x ⇒ Distributive property (-5 is being multiplied to x and - 6)

30 = 15x ⇒ Addition property of equality (5x is being added in both sides of the equation)

30 = 15x ⇒ Division property of equality (15 is being divided into both sides of the equation)

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Answer:

32

Step-by-step explanation:

24/3=8, 24+8=32

that's how I think of it

Answer:

n = 8√2

Step-by-step explanation:

It's a 30-60-90 triangle, so n = 2×4√6/√3 = 8√2