Which of the following is an equivalent form of the compound inequality-33 > -3x - 6 > -6

The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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first what quantities do we need to talk about?

the problem speaks of “a number”, let’s call that number x.

now write the equation that relates x to the other numbers we know.

the first clue is the word “difference”.

this means “subtraction”, but we need to subtract something from something else.

what are the two somethings? ”a number times 7” and “4”.

so, since we have a name for “a number”, let’s translate this as x*7 - 4 what else do we know?

it says the difference is 9. So complete the equation x*7 - 4 = 9 if we rewrite this cosmetically, 7x - 4 = 9

i assume that you know how to solve this for x.

so then wehn solving 7x - 4 =9 we take -4 change it to +4 so then +9 we go and get 13

7x = 13

7/7 = 13/7

x=  13/7

Answer:

  Adult market

  Junior market

  Total profit: 13000

  Total consumer surplus: 14600

Step-by-step explanation:

Given Adult (a) and Junior (j) demand equations Pa = 200 -Qa and Pj = 160 -Qj, and cost equation C = 20Q, you want to find the price in each market that maximizes profit, the sales in each market, and the consumer surplus, and a graph of profit-maximizing sales and prices.

Each demand equation is of the form P = Pmax -Q, where P is the price that will result in sales of Q tickets. The revenue (R) in each case is the product of numbers of tickets sold (Q) and the price at which they are sold (P).

  R = QP = Q(Pmax -Q)

The profit is the difference between revenue and cost.

  Profit = R - C = Q(Pmax -Q) -20Q

  Profit = Q(Pmax -20 -Q)

Writing the demand equation in terms of P, we find ...

   Q = Pmax -P

Substituting this into the Profit equation gives ...

  Profit = (Pmax -P)(Pmax -20 -(Pmax -P))

  Profit = (Pmax -P)(P -20)

The profit function describes a downward-opening parabolic curve with zeros at P=Pmax and P=20. The maximum profit is on the line of symmetry of this curve, halfway between these values of P:

  Price for maximum profit = (Pmax +20)/2 = Pmax/2 +10

In the adult market, Pmax = 200, so the profit-maximizing ticket price is ...

  Pa = 200/2 +10 = 110 . . . . price for maximum profit in Adult market

In the Junior market, Pmax = 160, so the profit-maximizing ticket price is ...

  Pj = 160/2 +10 = 90 . . . . price for maximum profit in Junior market

Using the revenue equation, we find the sales in each market to be ...

  Qa = 200 -Pa = 200 -110 = 90

  Ra = Qa·Pa = 90(110) = 9900 . . . . sales in Adult market

  Qj = 160 -Pj = 160 -90 = 70

  Rj = Qj·Pj = 70(90) = 6300 . . . . sales in Junior market

The profit in each market is ...

  Adult market profit = 90(110 -20) = 8100

  Junior market profit = 70(90 -20) = 4900

The overall profit will be the sum of the profits in each market:

  Overall profit = 8100 +4900 = 13000

The consumer surplus in each market is the area below the demand curve and above the price point. It is half the product of the maximum price and the quantity actually sold.

  CSa = (1/2)(200)Qa = 100(90) = 9000

  CSj = (1/2)(160)(Qj) = 80(70) = 5600

The total consumer surplus is ...

  CS = CSa +CSj = 9000 +5600 = 14,600 . . . . total consumer surplus

The first attachment shows the sales (output) in each market (red=Adult, purple=Junior) as a function of ticket price. It also shows the corresponding profit (orange=Adult, blue=Junior). The profit-maximizing price point is marked on each curve. You will note that it is different from the output-maximizing price point.

The second attachment illustrates the consumer surplus in each market. That graph has price on the vertical axis, and quantity on the horizontal axis. The colors correspond to the colors on the graph in the first attachment.

Answer:

c

Step-by-step explanation:

cause -14w-3-(5w)

-14w-5w-3

-19w-3

Answer:

y= -x-4

Step-by-step explanation:

y=mx+b is slope intercept form

so we isolate y on one side

3x+3y=-12

-3x.     -3x

3y= -3x-12

/3.   /3 /3

y= -x-4

hopes this helps

Answer: 2x^2 - 4x - 2 (first option)

Step-by-step explanation:

To solve (3x^2 + x -3) - (x^2 - 5x + 1), first you have to simplify it. you would put 3x^2 and - x^2 together, x and -5x together, and -3 and 1 together. This simplifies to  2x^2 - 4x - 2. Hopes this helps

Answer:

no

Step-by-step explanation:

the answer its 120 hope helps you

Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.

20% = 0.20

20%(18.5)
0.20(18.5)
3.7

Since this is a 20% increase, we will add this to the original value.

18.5 + 3.7 = 22.2

Step-by-step explanation:

25/5 + 4 = 5 + 4 = 9

is that what you needed ?

Answer:

y=3x-3

Step-by-step explanation:

The domain of the function f(x) = 1/5x + 4 is  R - {- 4/5}.

An algebraic expression is a combination of terms both constants and variables. For example -

2x + 3y + z

3x + y

Given is the function as -

f(x) = 1/5x + 4

The given function is -

f(x) = 1/5x + 4

Domain is the set of {x} - values for which the function is defined.

Put -

5x + 4 = 0

x = -4/5

So, we can write the domain as -

domain → R - {-4/5}

Therefore, the domain of the function f(x) = 1/5x + 4 is  R - {- 4/5}.

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The length KL is 8 units

The value of x is undefined

The length KL is 12 units

From the question, we have the following parameters that can be used in our computation:

The rhombus

Also, we have

DK = 8

A rhombus is a quadrilateral with all sides equal.

So, we have

KL = 8

Here, we have

SKAL = 2x - 8

There is no point S on the rhombus

This means that

x = undefined

Here, we have

DM = 5y + 2 and DK = 3y + 6

A rhombus is a quadrilateral with all sides equal.

So, we have

5y + 2 = 3y + 6

Evaluate

2y = 4

Divide

y = 2

So, we have

KL = 5 * 2 + 2

KL = 12

Hence, the length KL is 12 units

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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The answer is 2/3. option A

The given expression:

First thing we'll do, is to collect like terms.

Then we solve for x

The answer is 2/3. option A

Answer:

46.21%

Step-by-step explanation:

The area of the table top is 1.3 x 1.3 = 1.69 m²

The area of the circular tablecloth is given by πr² where r is the radius of the table cloth

Give diameter of tablecloth is 2m, radius r = 2/2 = 1 m

Area of tablecloth = π · 1² = π

So the excess area of the tablecloth which overhangs

= π - 1.69 = 1.45 m²  (taking π = 3.14)

So the fraction of the tablecloth that overhangs
= Excess area of tablecloth ÷ total area of tablecloth
= 1.45 /π

= 0.4621

As a percentage this would be
0.4621 x 100

= 46.21%

9514 1404 393

Answer:

  1080

Step-by-step explanation:

The first price reduction reduced the price to (1 -20%) = 0.80 times the original. The second price reduction reduced the price to ...

  0.80(1 -25%) = 0.80×0.75 = 0.60

times the original.

The final price was ...

  1800 × 0.60 = 1080

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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Answer:

  4 and 6

Step-by-step explanation:

Look at the ways 24 can be written as a product.

  24 = 1×24 = 2×12 = 3×8 = 4×6

The sums of these factors are 25, 14, 11, 10. The factor pair you're looking for is the one that has a sum of 10:

  4 and 6

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

The measure of both angles is 45.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Right triangle:

One angle = 90

Other angles:

One = 2x - 45

Another = x

Now,

The sum of the three angles = 180

90 + x + 2x - 45 = 180

Add like terms.

90 + 3x - 45 = 180

Add 45 on both sides.

90 + 3x = 180 + 45

Subtract 90 on both sides.

3x = 225 - 90

3x = 135

Divide 3 into both sides.

x = 45

Now,

Other angles:

One = 2 x 45 - 45 = 45

Another = 45

Thus,

Both angles are 45.

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Answer:

24 miles in 1 hour

144 divded by 6 = 24

Hope this helps!  If so I would appricate brainliest

Answer:

Step-by-step explanation:

In order to solve this question we use ratio and proportion

From the question, for 6 hours John drove 144 miles

If 6 hours = 144 miles

Then one hour would be

\( \frac{144 \times 1}{6} = \frac{144}{6} \\ \)

We have the final answer as

√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b  

where a and b are integers.

Irrational numbers are those real numbers which are not rational numbers.

Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

A composite number is a number divisible by another number than 1 and the number itself.

To find example, a sum of two composite numbers, which is not a composite number, is needed.

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.

Hence so the correct option is D.

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The account balance after 16 years is $8300.4.

What is interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Given that,

Sally invests $5,187.75 with a simple interest rate of 3.75% for 16 years.

The formula of simple interest is I = PRT

P = Principal = $5,187.75

R = Rate of interest = 3.75% = 0.0375

T = Time = 16 years

I = 5,187.75 × 0.0375 × 16

I = 3112.65

The interest that will deposit in the account will be $3112.65.

Total balance will be sum of principal and interest.

The balance is  $(3112.65 + 5,187.75) = $83300.4

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