what is the result of (4³)² × (¼)²​

The factors are (x + 4), (x + 5) & (x - 4) and the solution is x = -4,  = -5 and x = 4 and the value of the maximum profit is 680

The given parameters are

f(x) = x^3 + 5x^2 - 16x - 80

x = -4 is a root

To set up the synthetic division, we start by writing out the coefficient of each term

So, we have

-4 |  1    5    -16    -80

Bring down the first coefficient

-4 |  1    5    -16    -80

      1

Multiply by -4

So, we have

-4 |  1    5    -16    -80

           (-4)

      1

Add

-4 |  1    5    -16    -80

           (-4)

      1     1

Multiply by -4

So, we have

-4 |  1    5    -16    -80

           (-4)  (-4)

      1     1

Add

So, we have

-4 |  1    5    -16    -80

           (-4)  (-4)

      1     1     -20

Multiply by -4

-4 |  1    5    -16    -80

           (-4)  (-4)    80

      1     1     -20

Add

So, we have

Multiply by -4

-4 |  1    5    -16    -80

           (-4)  (-4)    80

      1     1     -20    0

This means that,

Quotient = x^2 + x - 20

Remainder = 0

Expand x^2 + x - 20

x^2 + x - 20 =x^2 + 5x - 4x - 20

Factorize

x^2 + x - 20 = (x + 5)(x - 4)

Recall that the initial root is

x = -4

Rewrite as

x + 4 = 0

So, we have the complete factor to be

f(x) = (x + 4)(x + 5)(x - 4)

Set to 0

(x + 4)(x + 5)(x - 4) = 0

Solve for x

x = -4,  = -5 and x = 4

Hence, the factors are (x + 4), (x + 5) & (x - 4) and the solution is x = -4,  = -5 and x = 4

The equation of the profit function is given as

P(x) = 230 + 30x - 0.5x^2

Differentiate the function

So, we have

P'(x) = 0 + 30 - x

Evaluate the like terms in the function

So, we have

P'(x) = 30 - x

Set the function to 0

So, we have

30 - x = 0

Evaluate

x = 30

Substitute x = 30 in the equation P(x) = 230 + 30x - 0.5x^2

So, we have

P(30) = 230 + 30 x 30 - 0.5 x 30^2

Evaluate

P(30) = 680

Rewrite as

Pmax = 680

Hence, the value of the maximum profit is 680

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The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000 at a specific column.

1. The UPDATE statement is used to modify the existing records in a table.

2. The statement begins with the keyword UPDATE followed by the name of the table, in this case "employee".

3. The SET keyword is then used to specify the column and value to update, in this case "salary" to 50000.

4. The WHERE clause is used to specify which records should be updated, in this case all records where the salary is less than 50000.

5. The result of this statement would be that all employees with a salary less than 50000 would have their salaries updated to 50000.

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All the right angles formed for the circle are: ∠CRI and ∠YRC are formed by the tangent and ∠LYR and ∠LVR are formed by the diameter of the circle.

A straight line one that touches the circumference of a circle once is said to be the tangent to that circle. This point in tangency or perhaps the point of contact is the location where the tangent contacts a circle.

A line is tangent to just a circle when and if only if it is perpendicular toward the radius defined to the point of tangency, according to the tangent theorem.

Thus, CRI and ∠YRC are formed by the tangent are 90 degrees.

The central angle's size is equal to twice the inscribed angle's size, according to the inscribed angle theorem, which is also known as such arrow theorem and the central angle theorem.

At any point on the circle, the diameter subtends a 90° angle.

Thus, ∠LYR and ∠LVR are formed by the diameter of the circle are 90 degress.

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Complete question -

For the given figure , determine all the right angles formed for the circle.

The type of inference being used in this study is interval estimation.

Interval estimation is a statistical method that is used to estimate the range of values within which the true population parameter is likely to fall.

In this case, the researchers are using interval estimation to determine the range of values within which the true proportion of children that like milk chocolate is likely to fall. The researchers are 95% confident that the true proportion of children that like milk chocolate is between 0.75 and 0.93. This means that if the study were repeated many times, 95% of the intervals would contain the true proportion of children that like milk chocolate.

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Answer:

x = 110; y=65

Step-by-step explanation:

X = 110 because A||B

in the small triangle we have 45° , y° and n° ( n is the missing angle )

n + x = 180

n = 180 -110

n = 70

triangle :

70 + 45 + y = 180°

115 + y =180

y = 180 - 115

y = 65°

First, find dy/dt using the chain rule. Then, use dt/dr = 1 and the chain rule to find dy/dr. dy/dr = (12r / √(11k² + 12r²)), using chain rule and assuming r = k*t, where k is a constant.

Let \(u = 11 + 12t^2\). Then, we have y = √u, and we can utilize the chain rule to track down dy/dt:

\(dy/dt = (1/2)(u)^(- 1/2)(du/dt)\)

\(= (1/2)(11 + 12t^2)^(- 1/2)(24t)\)

Presently, we need to track down dy/dr. We know that dr/dt = 1, since r isn't a component of t. In this manner, by the chain rule,

dy/dr = dy/dt * dt/dr

We can settle for dt/dr by taking the equal of dr/dt:

dt/dr = 1/dr/dt = 1/1 = 1

Subbing the two qualities, we get:

dy/dr = dy/dt * dt/dr = \((1/2)(11 + 12t^2)^(- 1/2)(24t) * 1\)

= 12t/√(11 + \(12t^2\))

In this manner, dy/dr = 12t/√(11 + \(12t^2\)). Therefore, the final answer for dy/dr is: dy/dr = (12r / √(11k² + 12r²))

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9514 1404 393

Answer:

  P(Red) = 0.44

Step-by-step explanation:

There are 3 (mutually exclusive) ways to get red. The probability of red is the sum of the probabilities of the different ways to get there:

  P(red) = (0.35)(0.6) + (0.45)(0.2) + (0.20)(0.7) = 0.21 + 0.09 + 0.14 = 0.44

The probability a player will select a red ball is 0.44.

Mean of the given data is equals to 11.

"Mean is defined as the sum of all the numbers given in data dividing by total numbers of number given , it is also known as average pf the data."

Formula used

Mean = \(\frac{Sum of all the numbers}{total numbers of number}\)

According to the question,

Data collection = 9, 10, 14, 9, 12, 10, 13

Total numbers = 7

Substitute the value in the formula of mean we get,

\(Mean =\frac{9+10+14+9+12+10+13}{7} \\\)

         \(=\frac{77}{7}\)

         = 11

Hence, mean of the given data is equals to 11.

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Answer: Copenhagen is colder

Step-by-step explanation: I swicth them from celsius to fahrenheit.

Answer: The critical value is a value used in hypothesis testing to determine the rejection or acceptance of a null hypothesis. The critical value is determined based on the significance level of the test and the degrees of freedom. The critical value is usually determined from a table or calculated using statistical software.

Here are the general steps to calculate the critical value:

Determine the significance level, denoted by α. This is the probability of making a Type I error, which is the probability of rejecting a true null hypothesis.

Determine the degrees of freedom, which depend on the specific test and sample size.

Look up the critical value in a table of critical values for the appropriate significance level and degrees of freedom. These tables are available in most statistics textbooks or can be found online.

If a table is not available, the critical value can be calculated using statistical software or a calculator that provides a cumulative distribution function for the appropriate distribution. For example, the critical value for a two-tailed t-test can be calculated in R using the qt function. The syntax is qt(1-α/2, df), where α is the significance level and df is the degrees of freedom.

Note that the critical value will depend on the specific hypothesis test being performed and the null and alternative hypotheses. It is important to choose the correct test and use the appropriate critical value to ensure accurate results.

Step-by-step explanation:

Answer:

4x^2+x

Step-by-step explanation:

(x)(4x+1)=(x)(4x)+(x)(1)

Hope this helped :)

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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Answer:

flavor of candies in each box

Step-by-step explanation:

Answer: If there are 60 questions and the student has to answer 75% of questions then the number of questions the student must answer is 45

Step-by-step explanation:

No of questions= 60,

Answers to be given= 75%

then no of questions to pass the exam= No of questions*Answers to be given in percentage

=60*75/100\

=45

The probability that the person's highest level of education is an undergraduate degree is 0.37.

The probability that the person's highest level of education is an undergraduate degree can be calculated by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and who do not take dietary supplements. From the contingency table, the probability of an individual with an undergraduate degree taking dietary supplements is 0.09, while the probability of an individual with an undergraduate degree not taking dietary supplements is 0.28. Therefore, the total probability of an individual with an undergraduate degree is the sum of these probabilities, which is 0.09 + 0.28 = 0.37. Therefore, the probability that the person's highest level of education is an undergraduate degree is 0.37.
Contingency tables are used to display the distribution of one variable for different categories of another variable. In this case, the contingency table displays the distribution of the population of adults based on their highest level of education and whether they take dietary supplements or not. The table helps to identify any patterns or associations between the two variables. For instance, the table shows that individuals with higher levels of education are more likely to take dietary supplements.
Probability is a statistical measure of the likelihood of an event occurring. It ranges from 0 to 1, with 0 indicating impossibility and 1 indicating certainty. In this case, we use probability to determine the likelihood of an individual having an undergraduate degree based on the contingency table. The probability of an undergraduate degree was found by adding the probabilities of individuals with undergraduate degrees who take dietary supplements and those who do not take dietary supplements.

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Answer:

\(3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}\)

Kandy needs to bake an additional 2 1/6 dozens of cupcakes.

To find out how many dozens more cupcakes Kandy needs to bake, we can add the fractions 1 1/2 and 2 1/3, and then subtract the result from 6.

Let's first find a common denominator for 2 and 3, which is 6.

1 1/2 is equivalent to 3/2 in fraction form, and 2 1/3 is equivalent to 7/3.

Adding these fractions with a common denominator of 6, we get:

(3/2) + (7/3) = (9/6) + (14/6) = 23/6

Now we can subtract this fraction from 6 to find how many dozens more cupcakes Kandy needs to bake:

6 - (23/6)

To perform this subtraction, we need a common denominator of 6:

6 = 36/6

Now we can subtract the fractions:

(36/6) - (23/6) = 13/6

This means that Kandy needs to bake an additional 13/6 dozens of cupcakes.

To simplify this fraction, we can convert it to a mixed number:

13/6 = 2 1/6

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Answer:

McDonald'sssssssssssssss

20 students went on a field trip and 5 did not.

Answer:David gets paid 9$ per Hr

Kevin also gets paid 9.20$

So Kevin gets paid more

Step-by-step explanation:

Hope this helps

We have two sets from which we get the coordinates of the ordered pair. We know that a set of ordered pair is called a relation, and that the set from which the first coordinate comes from is the domain while the set where the second coordinate comes from is called the range.

Thus, the given set is a relation.

Also we know that there are special kinds of relations--those whose first coordinate only has one corresponding second coordinate. They are called functions.

In this set, -6 corresponds to 3, 0 corresponds to 7, and 6 corresponds to 5. There is a one-to-one relation.

Therefore, this set is also a function.

The answer is the second option--it is both a function and a relation.

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Answer:

b+\(c{2}\) = 19 + \(5^{2}\)

b-3c = 19 - 15

Answer:

$121.50

Step-by-step explanation:

you take 23 times 3 which gets you 69, then you do 0.42×125 which equals 52.50. Then just add 69+52.50 and you get your answer

A. The average change in revenue from 1,000 car seats to 1,050 car seats is $320.  B. The derivative of the revenue function is R'(x) = 32 - 0.020x.

C. At a production level of 1,000 car seats, the revenue is $31,000 and the instantaneous rate of change of revenue is $12 per car seat.

A. The average change in revenue when production is changed from 1,000 car seats to 1,050 car seats can be found by calculating the difference in revenue between these two production levels and dividing it by the change in quantity. In this case, the average change in revenue is (R(1050) - R(1000)) / (1050 - 1000).

B. To find R'(x), we differentiate the revenue function R(x) with respect to x. Taking the derivative of each term gives us R'(x) = 32 - 0.020x.

C. At a production level of 1,000 car seats, the revenue can be found by substituting x = 1,000 into the revenue function R(x). The instantaneous rate of change of revenue can be found by evaluating R'(x) at x = 1,000. These results can then be interpreted in the context of the problem to understand the revenue and its rate of change at the given production level.

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

We are given a regression model: test score = 800 - 8(student-teacher ratio)

If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).

So, the new predicted test score is:

test score = 800 - 8(new ratio)

          = 800 - 8(old ratio + (-2))

          = 800 - 8(old ratio) - 8(-2)

          = 800 - 8(old ratio) + 16

Therefore, the predicted effect on the test score is an increase of 16 points.

So, the answer is (d) the test score will increase by 16 points.

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