8, 12, 18, ... whats the 6th term.

Answer:

b^2 - 4ac ==> what's inside the square root

The answer is the 2nd option

Step-by-step explanation:

b^2 - 4ac represents the number of roots in the quadratic equation. If

b^2 - 4ac>0, then there are 2 roots in the quadratic equation. If

b^2 - 4ac=0, then there is only 1 root. If b^2 - 4ac<0, then the square root of b^2 - 4ac would be invalid since the square root of a negative number has no real solution. Hence, if b^2 - 4ac<0, then there are no roots.

Answer:

The answer should be option B. b^2-4ac

Step-by-step explanation:

...

Answer:

-6 3/8

Step-by-step explanation:

Step-by-step explanation:

-2 1/2 mixed number change fraction= -3/-4 = 3/4.

3 3/4 = 15/12 = 5/4.

3/4 x 5/4= 15/16.

Answer:

∠EFG = 48°

Step-by-step explanation:

As FH bisects ∠EFG , ∠EFH = ∠HFG .

We know that ∠EFH = (-5x + 89)° . So ∠HFG = ∠EFH = (-5x + 89)°

Also, ∠HFG  + ∠EFH = ∠EFG

=> 2(-5x + 89)° = (61 - x)°

=> -10x + 178 = 61 - x

=> 10x - x = 178 - 61

=> 9x = 117

=> x = 117 / 9 = 13

Putting the value of 'x' in ∠EFG gives :-

(61 - x)° = (61 - 13)° = 48°

Answer:

under 1: 225

under 2: 450

under 3: 765

under 4:1020

Step-by-step explanation:

it multiplies each day

Answer:

y=x-2

Step-by-step explanation:

set up in y1-y2/x1-x2

2 - (-2)/4 - 0

4/4 = 1

so x=1 and the y intercept is -2

so the answer is C

Answer:

I don't know what general 5' form means, but I'm guessing that means slope-intercept form, the easiest form of a linear equation. So we can use the equation for this is y = mx+b. M being slope, and b is the y-intercept. So that means that we will get an answer of:

y = 1x+5, you spelled 1 wrong so I just correct it.

Answer:

0.80

Step-by-step explanation:

I did the math 5 times

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

Answer:

$50(1.05) = $52.50

Jody had to pay $52.50 to Tong for the month.

The theorem for all possible values of x within the given constraints.

In a proof by exhaustion, all possible cases or values for the variable must be considered and proven individually.

In this case, since x is a positive integer less than 4, we need to consider all possible values of x within this range, namely 1, 2, and 3.

The set of facts that must be proven in the proof by exhaustion of the theorem includes verifying that for each of these values of x, the inequality (x + 1)^3 ≥ 4x holds true.

Thus, the three specific cases (x = 1), (x = 2), and (x = 3) need to be examined and proven individually to establish the validity of the theorem for all possible values of x within the given constraints.

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The coordinates are simple. Hope you understand this and you can draw it out.

That means that each hour it drops about 0.0625 inches

Divide the decrease in water level by the length of the time interval.

decrease = 7/12 inches ≅ 0.583 inches

Time interval: From 11 pm to 8:20 am you have 9:20 hours = (9 + 20/60) hours ≅ 9.33 hours

So the water drops at a rate of about

0.583/9.33 inches/hour ≅ 0.0625 inches/hour

Therefore, each hour it drops about 0.0625 inches.

The rate constant, or the specific rate constant, is the proportionality constant in the equation that expresses the relationship between the rate of a chemical reaction and the concentrations of the reacting substances.The rate constant is a proportionality factor in the rate law of chemical kinetics that relates the molar concentration of reactants to reaction rate. It is also known as the reaction rate constant or reaction rate coefficient and is indicated in an equation by the letter k.

Rate constant is dependent on the temperature. For zero-order reaction, rate constant's unit is mol L - 1 s - 1 . For first-order reaction, rate constant's unit is . For second-order reaction, rate constant's unit is mol - 1 L s - 1 .

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The probability of drawing a face card or a 5 is 4/13. Option a is correct.

A card is drawn at random from a well-shuffled deck of 52 cards. To find the probability of drawing a face card or a 5, we need to count the number of cards in a deck that are face cards or 5s and divide that by the total number of cards in a deck.

There are 16 such cards (12 face cards and 4 5s) in a deck and 52 total cards. So the probability of drawing a face card or a 5 is:

16/52 which can be simplified to 4/13.

The probability is 4/13. Option a is correct.

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Candidates for a job are interviewed one by one until a qualified candidate is found. Thirty percent of the candidates are qualified.

In the selection process for a job, candidates are interviewed individually until a qualified candidate is identified. The word "qualified" refers to candidates who possess the necessary skills, qualifications, or experience required for the position. However, only thirty percent of the candidates in this scenario are considered qualified.

The selection process involves conducting interviews with each candidate, assessing their suitability for the job based on predetermined criteria. The interviews are typically conducted sequentially, with candidates being evaluated one by one. The process continues until a candidate is found who meets the required qualifications. It is worth noting that the thirty percent figure indicates the proportion of qualified candidates among the total pool of applicants, emphasizing that the majority of candidates do not meet the necessary criteria for the job.

This approach allows the hiring team to carefully evaluate each candidate's qualifications and choose the most suitable individual for the position. By interviewing candidates individually, the selection process aims to identify the best fit for the job based on the specific requirements and desired qualifications.

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If A and B are independent events, it means that the occurrence of one event does not affect the probability of the occurrence of the other event. In other words, the probability of event A happening is the same whether or not event B happens and vice versa.

To illustrate this, let's consider an example. Say we have two events: flipping a coin and rolling a dice. The probability of getting heads on the coin is 1/2 and the probability of rolling a 3 on the dice is 1/6.

These events are independent because the outcome of one event does not affect the outcome of the other event. So, the probability of getting heads on the coin AND rolling a 3 on the dice is (1/2) x (1/6) = 1/12.

Another way to check if two events are independent is to use the formula P(A and B) = P(A) x P(B). If the result of this equation is true, then the events are independent. If not, they are dependent.

Overall, understanding the concept of independent events is important in probability theory because it helps us calculate the probability of multiple events happening simultaneously.

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The average customer wait time before a solution is reached cannot be determined with only 15 data points.

To calculate the average wait time, we can use the AVERAGE function in Excel. Assuming the recorded times are in cells A6 to A20, the function would be "=AVERAGE(A6:A20)".

However, with only 15 data points, the sample size may not be representative of the entire population of customer calls. A larger sample size is needed to increase the accuracy of the estimate.

Additionally, other factors such as the complexity of the problem or the experience of the agent may affect the wait time and should be taken into consideration when analyzing the data.

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The power series representing the function has an open interval of convergence

To express the function \(f(x) = 4x^2 / (8x^5 - 34x - 7)\)as a power series centered at x = 0, we can use the method of partial fractions. We first need to factor the denominator:

\(8x^5 - 34x - 7 = (2x + 1)(4x^4 - 2x^3 - 4x^2 + 2x + 7).\)

Now we can write f(x) as a sum of partial fractions:

\(f(x) = A/(2x + 1) + B(4x^4 - 2x^3 - 4x^2 + 2x + 7),\)

where A and B are constants to be determined. To find A and B, we can equate the numerators of the fractions:

\(4x^2 = A(4x^4 - 2x^3 - 4x^2 + 2x + 7) + B(2x + 1).\)

Expanding and comparing coefficients, we get:

\(4x^2 = (4A)x^4 + (-2A + B)x^3 + (-4A - B)x^2 + (2B)x + (7A + B).\)

Equating the coefficients of like powers of x, we have the following system of equations:

4A = 0,

-2A + B = 0,

-4A - B = 4,

2B = 0,

7A + B = 0.

Solving this system, we find A = 0 and B = 0. Therefore, the partial fraction decomposition becomes:

\(f(x) = 0/(2x + 1) + 0(4x^4 - 2x^3 - 4x^2 + 2x + 7).\)

Simplifying, we have f(x) = 0.

The power series representation of f(x) is then \(f(x) = 0 + 0x + 0x^2 + 0x^3 + ...\)

The open interval of convergence of this power series is (-∞, ∞), as it converges for all values of x.

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The September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle.

When the payment occurred on 7th and purchase on 20th:

Balance in between September 1st and September 7th = $449.22

Balance in between September 7th and September 20th =449.22-85.33=$363.89

Balance in between September 20th and September 30th = 363.89+60.99

=$424.88

So, the balance on which interest will be applied according to the daily balance method = (449.22 * 6+363.89 *  13+424.89 *11)/30 = $403.322

Interest on this balance = 403.22 * (13.73/12) * (1/100) = $4.615

Similarly, when the payment occurred on the 20th while purchasing on the 7th:

The balance on which interest will be applied according to the daily balance method = (449.22 * 6 + 510.21 * 13 + 424.88*6)/30 = $395.911

Interest on this balance = $395.911 *(13.73/12) * (1/100) = $4.199

Difference between interests = $0.41

Therefore, the September finance charge will be greater by $0.41 if the purchase occurred on September 7th and the payment occurred on September 20th than the payment occurred on September 7th and the purchase occurred on September 20th.

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El poste tiene una altura de aproximadamente 5.06 metros.

Para resolver este problema, utilizaremos la relación trigonométrica de la cotangente, ya que se nos da el valor de cotangente del ángulo de depresión (cotα= 4). La cotangente es la inversa de la tangente, por lo que podemos obtener el ángulo de depresión α utilizando la siguiente relación:

α = arccot(4)

Usando una calculadora, podemos encontrar que α es aproximadamente 14.04 grados.

Ahora, podemos utilizar la relación trigonométrica de la tangente para determinar la altura del poste. La tangente de α se define como la relación entre la altura del poste y la distancia al objeto en el suelo. La distancia al objeto es de 20 metros. Entonces, podemos escribir la ecuación de la siguiente manera:

tan(α) = altura del poste / 20

Sustituyendo el valor de α que obtuvimos anteriormente:

tan(14.04) = altura del poste / 20

Resolviendo esta ecuación, encontramos que la altura del poste es aproximadamente 5.06 metros.

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The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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In the scenario where a custom object is the detail object in a master-detail relationship with Account, the Organization-Wide Default (OWD) setting for the custom object would be controlled by the OWD setting of the master object, which is Account.

In Salesforce, the Organization-Wide Default (OWD) setting determines the default level of access for records of an object within an organization. When a custom object is set as the detail object in a master-detail relationship with Account, the OWD setting for the custom object will be controlled by the OWD setting of the master object, which is Account in this case.

The OWD setting for Account will dictate the level of access for the related records of the custom object. For example, if the OWD setting for Account is set to "Private," the related records of the custom object will also inherit the "Private" access level. This means that only users with appropriate sharing interest, such as those assigned to Account roles or sharing rules, will have access to the related records of the custom object.

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What is TRUE about the Organization-Wide Default (OWD) setting for the custom object in a master-detail relationship with Account?

Stephen's average speed for the round trip was 48 mph.

To find Stephen's average speed, we can use the formula:

Average Speed = Total Distance / Total Time

Let's assume the distance from Stephen's house to his aunt's house is 'd' miles.

On the way to his aunt's house, Stephen traveled at a speed of 60 mph. So the time taken for this leg of the trip is given by:

Time = Distance / Speed = d / 60

On the return trip, Stephen traveled at a speed of 40 mph. So the time taken for this leg of the trip is:

Time = Distance / Speed = d / 40

The total time for the round trip is the sum of the times for the outward and return trips:

Total Time = d / 60 + d / 40

To find the average speed, we divide the total distance by the total time:

Average Speed = Total Distance / Total Time

The total distance for the round trip is 2d (since it's the same roadway for both trips).

Average Speed = 2d / (d / 60 + d / 40)

Simplifying this expression, we get:

Average Speed = 2d / ((3d + 2d) / 120) = 2d / (5d / 120) = 2d * 120 / 5d = 240 / 5 = 48 mph

Therefore, Stephen's average speed for the round trip was 48 mph.

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The correct statement for a monopolistic competitor in long-run equilibrium is: p = ATC = MC = MR. The correct answer is B.

In long-run equilibrium, a monopolistic competitor maximizes its profit by setting its marginal cost (MC) equal to its marginal revenue (MR) and producing the quantity where MC = MR. At this quantity, the firm charges a price (p) equal to the average total cost (ATC) to cover all its costs.

By setting the price equal to the average total cost and producing where marginal cost equals marginal revenue, the monopolistic competitor achieves a balance between maximizing profits and covering costs. This equilibrium condition ensures that the firm does not have the incentive to enter or exit the market in the long run, as it is earning normal profits.

Therefore, The correct answer is B. p = ATC = MC = MR.

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9514 1404 393

Answer:

  (2, 3)

Step-by-step explanation:

The coefficients of x are opposites, so the x-terms can be eliminated by adding the two equations together:

  (2x+3y) +(-2x+5y) = (13) +(11)

  8y = 24 . . . simpify

  y = 3 . . . . . divide by 8

Only one answer choice has y = 3: (x, y) = (2, 3).

__

If you like, you can finish the solution by substituting into one of the equations.

  2x +3(3) = 13

  2x = 4 . . . . . . . subtract 9

  x = 2 . . . . . . . . divide by 2

The solution is (x, y) = (2, 3).

_____

A graph confirms this solution.

The probability of randomly selecting a mystery DVD from the cabinet is 4/15

The total number of DVDs in the cabinet is:

7 (comedy DVDs) + 4 (mystery DVDs) + 4 (documentary DVDs) = 15 DVDs

The probability of randomly selecting a mystery DVD can be calculated as:

number of mystery DVDs / total number of DVDs

Substitute the known values in the above equation, so, we have the following representation

The probability of randomly selecting a mystery DVD i= 4/15

Hence, the probability is 4/15

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The probability that you and your friend are chosen as the 2 contestants out of a total of 300 people is 1/135,700.

The probability that you and your friend are chosen as the 2 contestants out of a total of 300 people is calculated as follows:

First, the probability of you being chosen is 1/300, since there is only one of you in the audience of 300 people.

Next, the probability of your friend being chosen is 1/299, since there is now one less person in the audience to choose from.

Multiplying these probabilities together gives:

(1/300) x (1/299) = 0.00000111

Therefore, the probability that you and your friend are chosen as the 2 contestants are approximately 0.00000111, or 0.000111%.

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Answer:

It is a not a Function.

Because one number has two arrows pointing to two different numbers.

Answer:

No

Step-by-step explanation:

(the image is fuzzy so you can't really see the lines)

It seems that when x = 1, f(x) is both 4 and 5.

While two different x values can equal the same y value, one single x value cannot be equal to more than one value.

If this was a function that could be graph, there would be an extra dot at (1, 4) or (1, 5) since 1 is equal 4 or 5. This is why it is not a function.

Answer:

Simone is hiking at a faster rate.

Implicit differentiation is a method used to differentiate According to the question the solution is:dy/dx = (cos x cos y - sin y) / √(1 - (sin x cos y - cos y)²).

Implicit differentiation is a method used to differentiate an equation with respect to its variables and to find the rate of change of one variable concerning another variable. The given equation is sin x + cos y = sin x cos y.
We'll differentiate the equation with respect to x by applying the chain rule of differentiation.
Here's how to find dy/dx by implicit differentiation:sin x + cos y = sin x cos y
Differentiate both sides with respect to x.
sin x + cos y = sin x cos y
[Rewrite as y = sin⁻¹(sin x cos y - cos y)]
Differentiate both sides using the chain rule:
dy/dx = d/dx[sin⁻¹(sin x cos y - cos y)]
The derivative of sin⁻¹u = 1/√(1-u²) * du/dx.
Applying this formula to the equation:
dy/dx = d/dx[sin⁻¹(sin x cos y - cos y)]
= 1/√(1 - (sin x cos y - cos y)²) * d/dx(sin x cos y - cos y)
Using the chain rule, d/dx(sin x cos y - cos y)
= cos x cos y - sin y, and
so:dy/dx = 1/√(1 - (sin x cos y - cos y)²) * (cos x cos y - sin y)
Therefore, the solution is:dy/dx = (cos x cos y - sin y) / √(1 - (sin x cos y - cos y)²).

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