What is the solution to this equation?
X + 14 = -6

Table 13-9 provides information about the production function and costs of a firm. The table shows the quantities of labor (L) and capital (K) that the firm uses to produce different levels of output (Q). The table also presents information on the total variable cost (TVC) and total fixed cost (TFC) of production for each level of output.

To determine the total cost curve for this firm, we need to add the total variable cost (TVC) and total fixed cost (TFC) for each level of output. The total cost (TC) for a given level of output can be calculated using the formula:
TC = TVC + TFC
For example, when the firm produces 10 units of output, the TVC is $300, and the TFC is $400. Therefore, the total cost (TC) for producing 10 units of output is $700 ($300 + $400). By repeating this calculation for each level of output, we can create a table that shows the total cost of production at each level of output. We can then plot these data points on a graph to create the firm's total cost curve.
In summary, to create the total cost curve for the firm in Table 13-9, we need to add the total variable cost (TVC) and total fixed cost (TFC) for each level of output and plot the resulting data points on a graph.

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The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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Answer:

x = 7

Step-by-step explanation:

5x - 2 + x = 9 + 3x + 10

5x + x - 2 = 9 + 10 + 3x

5x + x - 3x - 2 = 9 + 10 + 3x - 3x (substracted 3x from both sides)

3x - 2 = 19

3x = 19 + 2

3x = 21

x = 21 : 3

x = 7

The optimal strategy is to pick door 1 and stay - this will give you a 50 percentage chance of winning the car.

The optimal strategy to win the game show is to pick door 1 initially and stay. This is because door 1 has the car 50% of the time, which is the highest chance of any of the three doors. If you switch to a different door, then you would have a 40% chance of winning if you switched to door 2, and a 10% chance of winning if you switched to door 3. Since door 1 has the highest chance of having the car, it is the optimal choice to initially select door 1 and stay. By doing so, you have a 50% chance of winning the car.

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Answer:

72

Step-by-step explanation:

The smallest number that is divisible by two given numbers is called the Least Common Multiple (LCM) of those numbers.

What's the smallest number that is a multiple of 8 and also a multiple of 18?

One way to find out is to start making lists of multiples:

Multiples of 8:  8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, and so on,

Multiples of 18:  18, 36, 54, 72, 90, 108, and so on.

This method can be a bit tedious, but in this case, it's clear that 72 is the LCM of 8 and 18.

Another method is to use the prime factorization of the two numbers.

Write 8 and 18 as the product of prime numbers; each number has a unique prime factorization.

8 = 2 x 2 x 2 = 2^3

18 = 2 x 3 x 3 = 2^1 x 3^2

To form the LCM, build a product of primes using the highest exponent in either of the two numbers.

LCM = 2^3 x 3^2 = 8 x 9 = 72.

Answer:

Hai! saya dari Indonesia! salam kenal yaa ^^ oh ya maaf tidak bisa menjawab pertanyaan kamu ^^

a) \(6x^2−x^3=12+5x;x=4\) For verifying that the given values of x solve the corresponding polynomial equations, we have to substitute the given values of x in the equation. x = 3 does not solve the equation.Hence, both the given values of x do not solve the corresponding polynomial equations.

If we get true equations, it means the given values of x solve the corresponding polynomial equations. Now, we will put the value of x in the equationa)\(6x^2−x^3=12+5xPut x = 46(4)^2 - (4)^3 = 12 + 5(4)64 - 64 ≠ 32\)

Thus, x = 4 does not solve the equationb)

\(9x^2 − 4x = 2x^3 + 15; x = 3Put x = 39(3)^2 - 4(3) = 2(3)^3 + 153(27) - 12 ≠ 45\)

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Answer:

m= -5x+6y all over k

Step-by-step explanation:

first, move over 5x to get -5x+6y. then divide it by k and thats your answer.

Answer:

m=6y/k - 5x/k

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variable

Therefore , the solution of the given problem of volume comes out to be ceramic mug has a 5 inch height.

A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. The indications for cubic measurements are litre and in3. However, you have to be cognizant of an object's volume in order to calculate its dimensions. Converting an object's weight into metric units like iii . and kilogrammes is a standard technique.

Here,

The following formula determines a cylinder's volume:

=> V = π * r² * h

where r is the cylinder's radius and h is its height, and is roughly equivalent to 3.14.

For the mug made of stainless steel:

1.5 inches is the radius (r).

Height in inches (h) is 8.5

With these values entered into the formula, we obtain:

=> V = 3.14 * (1.5)² * 8.5

=> V ≈ 3.14 * 2.25 * 8.5

=> V ≈ 60.14

The stainless steel mug has a 60 cubic inch volume, rounded to the nearest whole number.

Regarding the mug:

Radius (r) equals two inches

Given that it has the same volume as the stainless steel mug, its volume (V) is equal to 60 cubic inches.

=> 60 = 3.14 * (2)²* h

=> h = 60 / (3.14 * 4)

=> h ≈ 4.77

The ceramic mug has a 5 inch height.

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Answer:

Step-by-step explanation:

Both the triangles on the left and right are isosceles

The top angle of the triangle on the left:

The top angle of the triangle on the right:

This is the same angle as supplementary with angle 2:

Correct choice is 4

Answer: 12.5%

Step-by-step explanation:

Formula for Half Life

N = N₀ \((\frac{1}{2} ^{\frac{t}{t_{1/2} } } )\)

N = number of isotopes after

N₀ = Initial Isotopes

t = number of years

\(t_{1/2}\) =  half life years

Given

t=6000

\(t_{1/2}\) = 2000

Percent is part out of the whole  = remaining/starting amoung

Percent fraction =  \(\frac{N}{N_{0} }\)

\(\frac{N}{N_{0} } = \frac{1}{2} ^{\frac{t}{t_{1/2} } }\)

\(\frac{N}{N_{0} } = \frac{1}{2} ^{\frac{6000}{2000 } }\)

\(\frac{N}{N_{0} } =\) .125 =12.5%

Answer:

$3

Explanation:

• Let the cost of a snack = x

Each ride ticket costs $1.50 less than a snack, therefore:

• The cost of a ride ticket = $(x - 1.50)

Since Marsha spent a total of $24.00, we have:

We then solve for x.

The cost of each snack is $3.

Answer:

The correct option is;

C. Domain: {9, 10, 11, 12}; range {22, 32, 41, 30}

Step-by-step explanation:

The given parameters are;

The ticket sold at the talent show for different grades;

For grade 9, 22 tickets were sold

Grade 10, had 32 tickets sale

The number of tickets sold for grade 11 = 41 tickets

The number of tickets sold for grade 12 = 30 tickets

We note that the domain are the inputs and independent variables, x, of a function,f(x), while the range is the set of outputs, dependent, variables,  of the function or the values of f(x)

Therefore, given that the domain are the independent variable, that is their values are not influenced by other variables, then the domain are the grades, which are 9, 10, 11, 12, while the range are the range are the number of tickets sold (22, 32, 41, 30) which are dependent on the grades

Answer:

-6k^2-12k

Step-by-step explanation:

-8k-6k^2-4k=-6k^2-8k-4k

=-6k^2-12k

Answer:

-6k^2-12k

Step-by-step explanation:

-8k-6k^2-4k

Combine like terms.

-6k^2-12k

-hope it helps

Answer:

B

Step-by-step explanation:

First calculate the slope. \(\frac{y2-y1}{x2-x1}\). In this case, the slope is \(\frac{4}{5}\).

If you look at all of the answer choices, they are in slope - intercept form. This makes it easier! All you have to do is find an equation with the slope 4/5 that uses the point (4,1) or (9,5).

The standard slope intercept form for a point (a,b) is

y-b = m(x-a).

Remember that two negatives equal a positive.

Substitute in the slope for m and (4,1) or (9,5) for the point (a,b).

Answer:

$73.5 Since it's a piece rate wage I just multiplied 2.10 x 35.

Answer:

Option 3

Step-by-step explanation:

All equations are in slope-intercept form. \(y=mx+b\)

The 'm' is the slope.

The 'b' is the y-intercept.

The slope is also known as the rate of change. So, we would have to look at what replaces 'm' and select two equations that have the same rate of change.

Let's look over the equations:

\(y=0.3x-6\)

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

\(y=3x-8\)

In this equation, 3 replaces 'm', so the rate of change for this equation is 3.

In this equation, 0.3 replaces 'm', so the rate of change for this equation is 0.3.

In this equation, 0.03 replaces 'm', so the rate of change for this equation is 0.03.

Equation C and equation A have 0.3 as the slope. Since the question asks for two equations that have the same rate of change, the answer would be Equations A and C, or Option 3.

Answer:

\(a \div (b + c) = (a \div b) + (a \div c) \\ 6 \div (5 + 7) = (6 \div 5) + (6 \div 7) \\ 0.5 = 1.2 + 0.86 \\ 0.5 = 2.06\)

Answer:

A - y = -1/2 - 2

Step-by-step explanation:

the y intercept is at -2

the slope goes down 1 and over 2

a. The probability of there not being a reduction in U.S. unemployment can be calculated by subtracting the probability of a reduction from 1. Since the probability of a reduction is given as 0.18, the probability of no reduction would be 1 - 0.18 = 0.82.

b. The probability that there is not a reduction in U.S. unemployment and that Europe slips into a recession is 0.82 * 0.08 = 0.0656, or 6.56%.

To find the probability that there is not a reduction in U.S. unemployment and that Europe slips into a recession, we need to multiply the probabilities of the two events.

The probability of no reduction in U.S. unemployment is 0.82 (as calculated in part a), and the probability of Europe slipping into a recession is given as 0.08. Therefore, the probability of both events occurring is 0.82 * 0.08 = 0.0656, or 6.56%.

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Answer:

a₁ = 16

Step-by-step explanation:

The sum to infinity of a geometric series is

S ∞ = \(\frac{a_{1} }{1-r}\)

where a₁ is the first term and r the common ratio , then

\(\frac{a_{1} }{1-0.2}\) = 20

\(\frac{a_{1} }{0.8}\) = 20 ( multiply both sides by 0.8 to clear the fraction )

a₁ = 0.8 × 20 = 16

According to the given triangle, the value of ∠AFE = 48 degrees. (option b).

Let's start by looking at the given figure. We have an equilateral triangle ABC, which means all its sides are equal, and all its angles are 60 degrees. We are also given a point D outside the triangle and an angle CAD of 18 degrees. This means that the angle CAD and the angle BAC are supplementary (they add up to 180 degrees), since they both share the side AC.

Now, we can apply the angle bisector theorem to the triangle AEB. This tells us that AE/EB = AD/DB. Since CD = BE and triangle ADE is congruent to triangle BDC, we can say that

AD/DB = AE/EC = (AE + EC)/EC = AC/EC.

Therefore,

=> AE/EC = AC/EC - 1 = (2 cos 18 - 1)/sin 18.

Solving for sin ∠AFE, we get sin

∠AFE = (sin 12)(sin (42 - x))/sin (126 - x)(sin (60 - x)).

Taking the inverse sine of this value, we get

∠AFE = 48 degrees.

Therefore, the answer is option B, 48 degrees.

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Answer:

3/2

Step-by-step explanation:

The maximum distance Frank can travel would be 10 miles.

What is maximum distance?

For maximum distance that is maximum range of a projectile, the angle of projectile should be 45°.

From given question,

taxicabs charge for first mile = $1.00

for each additional mile = $0.30

The cost for the first mile is $1, and for each additional mile it's $0.30, so for 10 miles it would be $1 + 9 * $0.30 = $4.70. Since Frank has only $3.50, he can travel a maximum of 10 miles.

Therefore, The maximum distance Frank can travel would be 10 miles.

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The total number of comic books Jill had in the start is x = 28 books

Given data:

Let's represent the number of comic books Jill started with as "x".

Jill sold half of her comic books, which would be (1/2)x.

After selling half, Jill had (x - (1/2)x) = (1/2)x remaining.

Jill then bought eight more comic books, which increased the number to (1/2)x + 8.

Now, we know that Jill has a total of 22 comic books, so we can set up the equation

(1/2)x + 8 = 22

To solve for x, we can subtract 8 from both sides of the equation:

(1/2)x = 22 - 8

(1/2)x = 14

To isolate x, we can multiply both sides by 2:

x = 14 * 2

x = 28

Hence, Jill started with 28 comic books.

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Answer:

5 per minute

Step-by-step explanation:

300 divided by 60 mins is 5.

Answer:

Step-by-step explanation:

300 times 12 =3600

3600 / 60 = 60

Answer:

The answer is 48.