PLEASE HELP....Alex bought new jeans. She paid $43.20 at the cash register, which included 8% sales tax. What's the cost of the jeans before tax?

The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

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a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is  stratified random sampling. The list of all heavy soft-drink users is the sampling frame.

b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.

The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.

a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.

Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.

Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.

b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.

The advantages of cluster sampling are:

The disadvantages of cluster sampling are:

A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.

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Yes the explanation satisfy the questions stated.

From the question, distance is said to be a function of time and the constant rate of change is 64.

y = 64x + 22

The above is in the form of a Linear equation:

y = mx + c

Where y = dependent variable (distance)

x = unrelated variable (time)

m = slope = time/distance

22 for c = constant.

m = constant rate of change = 64

If x (time) = 4

y (distance) = 278 miles

y = 64(4) + 22

y = 256 + 22

y = 256 + 22

y = 278 miles

Therefore the value of y is 278 miles.

The complete question is : Distance is a function of time. The constant rate of change is 64. Write

the equation Y=64x + 22. Substitute 4 in for x to get 278 miles,

Compare your response to the sample response above. Did your explanation

include that distance is a function of time?

include that the constant rate of change, or slope, is 64?

include the equation y = 64x + 22?

say to substitute 4 in for x to get 278 miles?

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Answer: 4x+6

Step-by-step explanation:

3x-y+8+x+y-2

3x+x +y-y  +8-2

4x+6

The integral as an equivalent integral are as follows.

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

What is an integral ?

Mathematicians define an integral as either a number equal to the area under the graph of a function for a certain interval or as a new function whose derivative is the original function (indefinite integral).

We write the equivalent integrals for given integral,

we get:

a) ∫_{-6}^{6} ∫_{0}^{36} ∫_{x²}^{36} (-y) dy dz dx

b)  ∫_{0}^{36} ∫_{-6}^{6} ∫_{x²}^{36} (-y) dy dx dz

c)  ∫_{0}^{36} ∫_{x²}^{36} ∫_{-6}^{6} (-y) dx dy dz

e) ∫_{x²}^{36} ∫_{-6}^{6} ∫_{0}^{36} (-y) dz dx dy

We changed places of integration, and changed boundaries for certain integrals.

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question:

Here is the region of integration of the integral Integral from negative 6 to 6 Integral from x squared to 36 Integral from 0 to 36 minus y dz dy dx. Rewrite the integral as an equivalent integral in the following orders. a. dy dz dx by. dy dx dz c. dx dy dz d. dx dz dy e. dz dx dy

The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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Answer:

The answer is x=16 and the solution set is ∅

Answer:

y = 4x + 5

Step-by-step explanation:

The equation of a straight line line is;

y = mx + b

where m is the slope and b is the y-intercept

We start by calculating the slope value by using the slope equation

m = (y2-y1)/(x2-x1)

m = (9+ 7)/(1+ 3) = 16/4 = 4

So we have the equation as;

y = 4x + b

to get the value of b, we substitute the coordinates of any of the two points

let us use (1,9)

9 = 4(1) + b

b = 9-4

b = 5

so, we have the equation of the line as;

y = 4x + 5

The correlation coefficient is +0.8, it indicates a strong positive relationship between the variables. If it is -0.3, it suggests a weak negative relationship. Keep in mind that correlation does not imply causation; it simply measures the association between variables.

The formula for calculating the correlation coefficient was developed by Karl Pearson, a British mathematician and statistician. Pearson's correlation coefficient, denoted as r, is a measure of the linear relationship between two variables. It quantifies the strength and direction of the relationship, ranging from -1 to +1.

To calculate the correlation coefficient, follow these steps:

1. Standardize the data: Subtract the mean from each data point and divide by the standard deviation for both variables.

2. Multiply the standardized values for each pair of data points and sum them.

3. Divide the sum by the number of data points.

4. This will give you the covariance between the two variables.

5. Next, calculate the standard deviation for each variable and multiply them together.

6. Divide the covariance by the product of the standard deviations.

7. The resulting value is the correlation coefficient, which indicates the strength and direction of the linear relationship.

For example, if the correlation coefficient is +0.8, it indicates a strong positive relationship between the variables. If it is -0.3, it suggests a weak negative relationship. Keep in mind that correlation does not imply causation; it simply measures the association between variables.

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Answer: Since 2005 the amount of money spent on restaurants in a certain country has increased at a rate of 4% each year. In 2005, about 670 billion was spent on restaurants.

To find the amount spent on restaurants in 2013, we can use the formula:

A = P(1 + r)^t

Where:

A = the final amount

P = the initial amount (670 billion)

r = the rate of increase (0.04 or 4%)

t = the number of years since the initial amount (8 years)

Plugging in the values, we get:

A = 670 billion (1 + 0.04)^8

A = 670 billion (1.04)^8

A = 670 billion * 1.4304

A = 951.8 billion

So, if the trend continues, about 951.8 billion will be spent on restaurants in 2013.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Plug in 7.5 as t into the equation, and solve:

p = -10t + 115

p = -10(7.5) + 115

p = -75 + 115

p = 40

This means in 7.5 hours, he will still have 40 papers left to grade.

So, he will not be able to finish grading in 7.5 hours.

SOLUTION:

For parallelograms; opposite sides are congruent;

Thus;

The shorter opposite sides must be equal too, thus;

Thus, for the figure to be a parallelogram, x = 6 and y = 10

Answer:

C because its the only one that fits the question its asking. 12-6 8-4 4-2

Step-by-step explanation:

The main impact of increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).

This is because the standard deviation is a measure of the spread of the data, and the wider the spread, the wider the confidence interval will be. Mathematically, this can be shown by the following calculation:

The confidence interval is usually given by the formula:

where x is the mean of the sample, z is the z-score representing the confidence level, sigma is the standard deviation, and n is the sample size.

In this case, let's assume that x = 10, z = 1.96 (95% confidence interval), and n = 10. Then, when the standard deviation is 3.1, the confidence interval is 10 +/- (1.96*3.1/sqrt(10)) = 10 +/- 0.62, or (9.38, 10.62).

However, when the standard deviation is increased to 5.8, the confidence interval becomes 10 +/- (1.96*5.8/sqrt(10)) = 10 +/- 1.12, or (8.88, 11.12).

Therefore, increasing the standard deviation from 3.1 to 5.8 leads to a wider confidence interval, from (9.38, 10.62) to (8.88, 11.12).

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No, BES is not equal to GES.

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Answer:

x≤3

Step-by-step explanation:

3x≤5+4

3x≤9

x≤3

x≤3 is the solution of the inequality 3x−4≤5

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is  3x−4≤5

Three times of x minus four lesser than or equal to five.

We have to solve for x

Add 4 on both sides of the inequality

3x≤5+4

3x≤9

Divide both sides by 3

x≤3

Hence, x≤3 is the solution of the inequality 3x−4≤5

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Answer:

Graph 4 is the correct answer to the question because after I solved graph 4 has my answer

Step-by-step explanation:

The solutions of the congrunece are precisely the integerssince the solutions of the congruence x^2 ≡ 1 (mod p^2) are precisely the integers that are not divisible by p.

Assuming that the given congruence is:

r^k ≡ a (mod p^2)

where r is a primitive root of p^2, p is a prime number and a, k are integers.

We know that r is a primitive root of p^2 if and only if r is a primitive root of both p and p^2. This means that for any positive integer m such that gcd(m, p) = 1, there exists an integer k such that:

r^k ≡ m (mod p)

and

r^k ≡ m (mod p^2)

Now, let's consider the given congruence:

r^k ≡ a (mod p^2)

Since r is a primitive root of p^2, we know that there exists an integer k1 such that:

r^k1 ≡ a (mod p)

Using the Chinese Remainder Theorem, we can find an integer k such that:

k ≡ k1 (mod p-1)

k ≡ k1 (mod p)

This implies that:

r^k ≡ r^k1 ≡ a (mod p)

Thus, we have shown that if r is a primitive root of p^2, then the solutions of the congruence are precisely the integers.

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Answer:

\(x = 45 \sqrt{5} \)

Step-by-step explanation:

\( {3}^{2 log_{3}(x) + log_{3}(5) } = {3}^{ 4log_{3}(15) } \)

\( {3}^{ log_{3}( {x}^{2} ) } {3}^{ log_{3}(5) } = {3}^{ log_{3}( {15}^{4} ) } \)

\(5 {x}^{2} = {15}^{4} \)

\( {x}^{2} = \frac{ {15}^{4} }{5} \)

\(x = \frac{ {15}^{2} }{ \sqrt{5} } ( \frac{ \sqrt{5} }{ \sqrt{5} } )\)

\(x = \frac{ {15}^{2} \sqrt{5} }{5} = 45 \sqrt{5} \)

The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.

Volume of cuboid = (length x width x height)

= 24 x 8 x 9

= 1,728 cubic inches

Thus, the volume of the cuboid is 1,728 cubic inches.

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Answer:

answer: 12

Step-by-step explanation:

You get 12 by doing base × height. So our base in this problem is 2.5 and our height is 4.8 so

2.5 × 4.8 = 12 Hope this helps!

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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Step 1

Given; Find the value of x in x + y = 9 and x - y = 2.

Step 2

Using the elimination method.

Hence,

Answer;

Answer:

hi

Step-by-step explanation:

hi

Answer:

2

Step-by-step explanation:

..............

Answer:

1.00 significant figures

The required, 0.9967 rounded to 2 significant figures is approximately 1.0.

To round 0.9967 to 2 significant figures, we look at the first two non-zero digits: 0.9967

The first two non-zero digits are 99. Since there is no third significant digit, we round according to the following rules:

If the third digit is 5 or greater, round up the second digit.

If the third digit is less than 5, leave the second digit unchanged.

In this case, the third digit is 6, which is greater than 5. So, we round up the second digit:

Thus, 0.9967 rounded to 2 significant figures is approximately 1.0.

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Answer: 104.65%

Step-by-step explanation: 45/43=1.0465 so you just move the decimal to the right 2 places to make it a percent. It’s over 100% because 45 is higher than the total of 43.

Answer:

Slope

Step-by-step explanation:

The rate of change is also known as the slope of a line on a graph.