Which units are most appropriate for describing the amount of water in the pool when it is full?

milliliters
cubic centimeters
quarts
millions of liters

The function of the production cost is a quadratic function, and the maximum production cost of the company is $340

The function of the production cost is given as:

f(x) = 0.15x² - 6x + 400

Differentiate the function

f'(x) = 0.3x - 6

Set the function to 0

0.3x - 6 = 0

Add 6 to both sides

0.3x = 6

Divide both sides by 0.3

x = 20

Substitute x = 20 in f(x) = 0.15x² - 6x + 400

f(20) = 0.15 * 20² - 6 *20 + 400

Evaluate

f(20) = 340

Hence, the maximum production cost of the company is $340

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Answer:

Proportionality constant k

When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.

Answer: Proportionality constant k

Step-by-step explanation:

below?

Answer:

x = 1/2

Step-by-step explanation:

28x + 1 = 32x - 1 <== subtract 28x from both sides

-28x      -28x

1 = 4x - 1 <== add 1 to both sides

+ 1      + 1

2 = 4x <== divide both sides by 4 to isolate the variable

/4   /4

1/2 = x

Hope this helps!

[tex] \Large{\boxed{\sf x = \dfrac{1}{2} }} [/tex]

[tex] \\ [/tex]

Given equation:

[tex] \sf 28x + 1 = 32x - 1 [/tex]

[tex] \\ [/tex]

Subtract 28x from each side :

[tex] \sf 28x + 1 - 28x = 32x - 1 - 28x \\ \\ \sf 1 = 4x - 1 [/tex]

[tex] \\ [/tex]

Add 1 to both sides:

[tex] \sf 1 + 1 = 4x \\ \\ \sf 2 = 4x [/tex]

[tex] \\ [/tex]

Divide both sides by 4:

[tex] \sf \dfrac{2}{4} = \dfrac{4x}{4} \\ \\ \\ \boxed{\boxed{\sf x = \dfrac{1}{2} }} [/tex]

[tex] \\ \\ [/tex]

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The scientific value for n that will make the equation (4.8 × 10^(-3))(n) = 9.6 × 10^9 true is given by: Option D: 2.0 × 10^(12)

The number is written in the form  [tex]a \times 10^b[/tex]  where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Finding the value of n from the given equation:

[tex](4.5 \times 10^{-3}) \times n = 9.6 \times 10^9\\\\\text{Dividing both the sides by } (4.5 \times 10^{-3}) \\\\n = \dfrac{9.6 \times 10^9}{4.5 \times 10^{-3}} = \dfrac{9.6}{4.5} \times \dfrac{10^{9}}{10^{-3}}\\\\n \approx 2.1333 \times 10^{9-(-3)} = 2.1333 \times 10^{12} \approx 2.0 \times 10^{12}[/tex]

Thus, the scientific value for n that will make the equation (4.8 × 10–3)(n) = 9.6 × 10^9 true is given by: Option D: [tex]2.0 \times 10^{12}[/tex]

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Answer: D

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To solve you have to get x by itself on one side.

x/3+7=12

First, you move the seven over.

x/3+7-7=12-7

Simplify.

x/3=5

Now to get x by itself you can multiply both sides by 3.

x/3*3=5*3

Simplify.

x=15

Answer:

x = 15

Step-by-step explanation:

x/3 + 3⋅7/3 = 12

x+3⋅7/3=12

x+21/3

X=15

Answer:

Hope the pictures will help you.

The solution to the system of equations is x = -2 and y = 5.

Given the parameters:

7y - 5x = 45

x = 8 - 2y

To solve the system of equations, substitute the expression for x from the second equation into the first equation.

7y - 5x = 45

Plug in x = 8 - 2y:

7y - 5( 8 - 2y) = 45

7y - 40 + 10y = 45

Collect and add like terms:

7y + 10y = 45 + 40

17y = 85

y = 85/17

y = 5

Plug the value of y into the second equation and solve for x:

x = 8 - 2y

Plug in y = 5:

x = 8 - 2( 5 )

x = 8 - 10

x = -2

Therefore, the value of x is -2 and y is 5.

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Answer:

128

Step-by-step explanation:

32 × 4 = 128

Each tank has 32, and there are four, so 32 times 4.

The store has 128 fish in the tank.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that pet store has 4 tanks of fish. Each tank has 32 fish.

Therefore,

Total fish =  Number of fish that a tank can hold x Number of tanks

32 × 4 = 128

Hence, we get 32 for each tank, and there are four,

Thus, 32 times 4.

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Answer:

I hope this helps, you can ask any questions for clarification

Answer:

Step-by-step explanation:

Domain is x-values the graph can have

  x = [-3,22]

range is the y values the graph includes

   range-=  [-3,+2]

Answer:

x=7

Step-by-step explanation:

Answer:

g[f(x)] = 6x² + 8x - 25

Step-by-step explanation:

g[f(x)] = g(3x² + 4x - 7)

= 2(3x² + 4x - 7) - 11

= 6x² + 8x - 14 - 11

= 6x² + 8x - 25

Answer:

(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)

232.777778 feet squared (feel free to round the answer)

Step-by-step explanation:

The formula on how to find the volume is:

(the area of the floor) x (the height of the room) = 2025 cubic feet

We already know the height, so we need to plug it in.

(the area of the floor) x 9 feet = 2095 cubic feet

To get the area of the floor, we need to divide 2095 by 9.

So, the area of the floor is exactly 232.777778 feet squared.

Answer:

225 ft²

Step-by-step explanation:

Formula

Solving :

Answer:

rhetorical stage, syncopated stage, symbolic stage

Step-by-step explanation:

The circumference of the smaller circle is C =  2*pi*x/3.

We have given that radius ob measures x units

circumference of the circle is given by,

[tex]C = 2\times \pi \times R[/tex]

where pi = 3.14

R= radius

we have two circles, A and B, where B is the larger circle and A is the smaller circle.

We know that,The circumference of B is 3 times the circumference of A.

The radius of circle B is OB = x

The radius of circle A is OA

We want to find an expression of OA.

The circumference of circle B is given by

[tex]C(B) = 2\times \piOB = 2\times pi\times x[/tex]

The circumference of circle A  is given by

[tex]C(A) = 2\times\pi\times OA[/tex]

we know that the circumference of circle B is 3 times the circumference of circle A,

[tex]C(B) = 3\times C(A)[/tex]

replacing the equations for the circumferences

[tex]2\times\pi\times x = 3\times (2\times pi\times OA)[/tex]

We have divide both sides by [tex]2\pi[/tex]we get:

[tex]x = 3\times OA[/tex]

Now we want to solve this for OA, then we need to isolate it,

[tex]x/3 = OA[/tex]

We can conclude that the radius of the smaller circle is equal to x/3.

Then the circumference of circle A is

[tex]C(A) = 2\times pi\times x/3[/tex]

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Answer:

c

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

Similarities

They both follow strict laws (typically stricter for math).

Practice makes perfect: both can be learned to points of practical perfection.

The brain must first attribute meaning or value to elements of either in order to build a learning pattern.

Differences:

Math is learned under assumptions of perfection (2 + 2 = 4 ALWAYS); whereas, language is learned under assumptions of reality (2 + 2 may be 5 for significantly larger values of 2). In other words, 2 average sized men plus 2 average sized Texans would more likely equal 5 or more average sized men.

Math is logical and language is largely artistic.

There is only one solution (or specific set of solutions) to every math problem. On the other hand, there are at least 100 different ways to express the same idea using language.

Step-by-step explanation:

Answer:

Language rules could be compared to syntax rules that govern the writing and scripting of a function. Language-based rules could be compared to syntax rules when writing functions, such that when the guiding syntax is correctly displayed, the function is clear and easy to read.

Step-by-step explanation:

y=4x + 3

it should have another one

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

[tex](n-2) * 180[/tex]

[tex]4 * 180 = 720[/tex]

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

[tex](2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24[/tex]

The equation and answer above shows how to find x, which equals 24.

Step-by-step explanation:

first you subtract 34 and 6 to get 28

now its 7 multiplyed by some number

each notepad 4 dollars cause 7x4=28

Answer:4 dollars

Answer:

24 / 6 = ccc

Step-by-step explanation:

There is 24 oz of cheese total that will be split evenly (divided) into 6 parts.

Each part will equal one sandwich worth of cheese (ccc) on the other side of the equation.

This one is very simple to solve, you could just calculate 24/6 to get your answer. But I'll go through it using typical algebra you would use for a less simple equation.

To solve:

Multiply by 6 to cancel the division by 6 on the left side

24 = 6ccc

Divide by 6 to isolate ccc again

4 = ccc

So each sandwich would get 4oz of cheese.

Answer:

what do you need help with

Answer:

Step-by-step explanation:

Answer:

i dont lnow the language sorry

Answer: Yes

Step-by-step explanation:

If you were to use AAS, you could prove the third pair of angles congruent by using the fact that the sum of the measures of the angles of a triangle is 180 degrees, and since you have two of the angles, you can solve for the third pair of angles, which would be congruent.

Answer:

deedww

Step-by-step explanation:

he studied for 495 minutes. 165 minutes a day.

Answer: He studied for 315 minutes. Because he studied for 1hr and 45 mins (105 mins). Then you multiply this by 3 because it's been three days.

Hope this helps!