Find the y intercept
x-3y = 12

Help plz

Answer:

20,000×17 gives 340,000

340,000×68 which gives 23,120,000

Answer:

if use celebrates help to advertise cosmetic product than it is nothing new.

if we create cosmetic limit edition advertise than we will watch the profit grow high

if a friend of hers can advertise cosmetic products on her site than we could advertise them in our brochure

if we use a communication channels to advertise our cosmetic product than we might make it popular enough to sell them a bunch.

(4 samples)

I hope it helps.

Answer:

1. If you use this lotion, then your skin will glow

2. If you put this makeup in your face, then you will look stunning.

3. If you use this lip gloss, then your lip will not become dry.

4. If you use this soap, then germs in your body will remove.

5. If you use this hair product, then your hair will become bouncy.

Step-by-step explanation:

Hope it helps:)

Answer:

Step-by-step explanation:

3 has two outputs in a

The probability that z lies between -2.41 and 0 is approximately 0.9911.

To find the probability that a standard normal variable, z, falls within a specific range, we can use the standard normal distribution table or a statistical calculator.

In this case, we want to find the probability that z lies between -2.41 and 0. By referencing the standard normal distribution table or using a calculator, we can determine the area under the curve corresponding to this range. The resulting value represents the probability of z falling within that range.

Approximately 0.9911 is the probability that z lies between -2.41 and 0 when rounded to four decimal places. This means that there is a high likelihood (approximately 99.11%) that a randomly chosen value of z from a standard normal distribution falls within this range.

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The 95% confidence interval for the mean is (1.6048, 1.6352).Hence, option (d) is the correct answer.

As given, a machine that is programmed to package 1.60 pounds of cereal is being tested for its accuracy in a sample of 40 cereal boxes, the sample mean filling weight is calculated as 1.62 pounds. The population standard deviation is known to be 0.06 pounds. We are required to find the 95% confidence interval for the mean. Here are the steps to solve this problem:

The formula to find the confidence interval is as follows;

Lower limit = x - zα/2 (σ/√n)

Upper limit = x + zα/2 (σ/√n)

Where,

x= sample mean

zα/2 = z-value of the level of significance

σ = population standard deviation

n = sample size

We are given;

x = 1.62 pounds

σ = 0.06 pounds

n = 40

We need to find the z-value of the level of significance, which can be found using the z-table or by using the calculator.Using the z-table, we get the z-value at 95% confidence interval as zα/2 = 1.96

Substituting the values, we get

Lower limit = 1.62 - 1.96(0.06/√40)

Upper limit = 1.62 + 1.96(0.06/√40)

Lower limit = 1.6048, Upper limit = 1.6352

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The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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(a)The electric field (E) converges to zero as we approach the center of the sphere, it decreases as we move towards the surface. (b)  the electric field (E) converges to zero as we approach the center of the sphere and this is different from the electric field of a point charge.

(a) To determine the charge density as we approach the center of the sphere, we need to evaluate the limit as r approaches 0.

Given that the charge density p is given by p = Bxr, where r is the distance from the center of the sphere and B = \(10^(-4) C/(m^4)\)is a constant, let's evaluate the limit as r approaches 0:

lim(r→0) Br = B0 = 0

Therefore, the charge density converges to 0 as we approach the center of the sphere. The charge density decreases as we move towards the center.

(b) To determine the electric field (E) as we approach the center of the sphere, we can use Gauss's law. Gauss's law states that the electric flux through a closed surface is equal to the enclosed charge divided by the permittivity of free space (ε₀).

Considering the symmetry of the problem, since the charge is spherically distributed, the electric field inside the sphere will be radially symmetric. By symmetry, the electric field at any point within the sphere will have the same magnitude and point directly away from the center of the sphere.

At the center of the sphere (r = 0), the enclosed charge is zero, as there is no charge inside the sphere. Therefore, the electric field at the center of the sphere is zero (E = 0).

Comparing this to the electric field of a point charge, the electric field of a point charge also follows the inverse square law, but its magnitude does not depend on the distance from the charge.

In contrast, for the charged sphere, the electric field decreases to zero as we approach the center of the sphere due to the decreasing charge density.

In summary, the electric field (E) converges to zero as we approach the center of the sphere, and this is different from the electric field of a point charge.

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As the question looks incomplete the complete question might be:

5. The previous problem was mathematically fairly simple. Here's another problem requiring Gauss' Law, but this time you will have to do a bit of integration.

NOTE: Keep your results in symbolic form and only substitute in numbers when asked for a numerical result. Also, pay careful attention to the distinction between the radius of the sphere, R, and the distance, r from the center of the sphere at which you are evaluating E.

Consider a small sphere (an actual sphere, not a Gaussian surface) of radius R-0.1 m that is charged throughout its interior, but not uniformly so. The charge density isρ=Br. where r is the distance from the center, and B= \(10^{-4}\) C/\(m^{4}\)is a constant. Of course, for r greater than R, the charge density is zero

R=0.1 m

(a) What does the charge density converge to as you approach the center of the sphere? Does it increase or decrease as we move toward the surface?

b) What does E. converge to as you approach the center of the sphere? How do you know? How does this compare to the E of a point charge? [Hint: Consider the symmetry of the problem.]

The average amount of fluid consumed is 35.7 oz of fluid each day.

We have to note that in this case of the question, we have the following information;

When we convert the galloons to oz, we can see that the amounts of the milk and the water are actually 64 oz and 128 oz respectively.

Total fluid consumed in the week = 64 oz + 6 0z + 128 oz + 52 oz

= 250 oz

The average amount of fluid that is consumed per day is; 250 oz/7

= 35.7 oz of fluid each day.

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The linear correlation coefficient between the variables X and Y is given by r = (Sxy / sqrt(Sxx * Syy)). To find the linear correlation coefficient, we need to calculate Sxy and Sxx first.

The formula for Sxy is Sxy = Σ(xi * yi) - (Σxi * Σyi) / n, where xi and yi are the individual values of X and Y, Σ denotes the sum, and n is the sample size.

Given that the slope of the regression line is 0.375, we can deduce that Sxy = b * Sxx, where b is the slope of the regression line. Therefore, Sxy = 0.375 * Sxx.

Next, we calculate Sxx using the formula Sxx = Σ(xi^2) - (Σxi)^2 / n.

Given that S = 80, we can substitute the values into the formula to find Sxx = (80^2) - (Σxi)^2 / n.

Using the information provided in the question, we have Syy = 54.75.

Now, we can substitute the values of Sxy, Sxx, and Syy into the formula for the linear correlation coefficient: r = (Sxy / sqrt(Sxx * Syy)).

By substituting Sxy = 0.375 * Sxx, Sxx from the previous step, and Syy = 54.75 into the formula, we can calculate the value of r.

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This problem is an example of a balanced transportation problem since the total supply of goods is equal to the total demand.

The transportation problem is a well-known linear programming problem in which commodities are shipped from sources to destinations at the minimum possible cost. The initial step in formulating a mathematical model for the transportation problem is to identify the sources, destinations, and the quantities transported.
The objective of the transportation problem is to minimize the total cost of transporting the goods. The mathematical model of the transportation problem is:
Let there be m sources (i = 1, 2, …, m) and n destinations (j = 1, 2, …, n). Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
The transportation problem can then be formulated as follows:
Minimize Z = ∑∑cijxij
Subject to the constraints:
∑xij = si, i = 1, 2, …, m
∑xij = dj, j = 1, 2, …, n
xij ≥ 0
where si and dj are the supply and demand of goods at the i-th source and the j-th destination respectively.
Using the given table, we can formulate the transportation problem as follows:
Let A1, A2, and A3 be the sources, and B2, B3, and B4 be the destinations. Let xij be the amount of goods transported from the i-th source to the j-th destination. cij represents the cost of transporting the goods from the i-th source to the j-th destination.
Minimize Z = 27x11 + 27x12 + 32x13 + 15x21 + 21x22 + 20x23 + 16x31 + 22x32 + 18x33
Subject to the constraints:
x11 + x12 + x13 = 3
x21 + x22 + x23 = 14
x31 + x32 + x33 = 10
x11 + x21 + x31 = 21
x12 + x22 + x32 = 32
x13 + x23 + x33 = 26
xij ≥ 0
In this way, we can construct a mathematical model of the transportation problem using the given table. The model can be solved using the simplex method to obtain the optimal solution.

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Days exactly: The rate of interest is 4.17%. The interest rate of  amount is 4.21% on regular days.

I = P x R x T/365, where I is the interest, P is the principal, R is the rate, and T is the duration, can be used to determine the interest rate using exact days.

I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows: 625 = 60000 x R x 150/365. By multiplying both sides by 365/150, we may find R. As a result, R = 625 x 365/90000 = 4.17%.

I = P x R x T/360, where I is the interest, P is the principal, and R is the rate of return, can be used to get the interest rate using regular days.T stands for time, and R represents the rate. I = 61625 - 60000 = 625, P = 60000, R =?, and T = 150 are the numbers used in this calculation. The formula for 625 reads as follows:

625 = 60000 x R x 150/360. By dividing both sides by 360/150, we may find R. As a result, R = 625 x 360/90000 = 4.21%.

I = P x R x T/365, which means that R = I x 365/P x T = 625 x 365/60000 x 150 = 4.17%. Exact days

I = P x R x T/360 on typical days, which means that R = I x 360/P x T is 625 x 360/60000 x 150, or 4.21%.

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Answer:

9

Step-by-step explanation:

Answer: x > 5.

Step-by-step explanation:

The information given in the question can be expressed in an equation as:

Let the cost of each book be x

Cost of mug + Cost of books > 24

9 + (3 × x) > 24

9 + 3x > 24

3x > 24 - 9

3x > 15

x > 5.

Therefore, each book cost more than $5.

To find the probability that a student break lasts more than 7 minutes, we can use the z-score formula to standardize the break time and then use the standard normal distribution table or a calculator to find the probability. The probability that a student break lasts more than 7 minutes is approximately 0.3745 or 37.45%.

Step 1: Calculate the z-score.
The z-score formula is given by:
z = (X - μ) / σ
where X is the break time, μ is the mean, and σ is the standard deviation. In this case, X = 7 minutes, μ = 6.3 minutes,

and σ = 2.2 minutes. Plugging in these values:
z = (7 - 6.3) / 2.2 ≈ 0.32
Step 2: Find the probability using the standard normal distribution table or a calculator.
Now that we have the z-score, we can find the probability that a student break lasts more than 7 minutes. We want to find the area to the right of the z-score (0.32) since we are interested in break times longer than 7 minutes.
Using a standard normal distribution table or a calculator, we find that the area to the left of z = 0.32 is approximately 0.6255. However, we want the area to the right of z = 0.32, which is given by:
Area to the right of z = 1 - Area to the left of z
Area to the right of z ≈ 1 - 0.6255 ≈ 0.3745.

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a. The 99% confidence interval for μ is approximately (5.536%, 8.264%).

b. The alternative hypothesis (Ha) is: The average compensation of all CEOs increased in 2021.

c. The test statistic value is calculated using the formula:

Z = (X - μ) / (σ / sqrt(n))

d.  if the p-value is less than the significance level (α = 0.01), we would reject the null hypothesis and conclude that there is strong evidence that the average compensation of all CEOs increased in 2021.

a. To construct the 99% confidence interval for the population mean (μ), we can use the formula:

CI = X ± Z * (σ / sqrt(n))

where X is the sample mean, Z is the Z-score corresponding to the desired confidence level (99% in this case), σ is the population standard deviation, and n is the sample size.

Given:

X = 6.9%

σ = 5.5%

n = 104

Confidence level = 99%

First, we need to find the Z-score corresponding to a 99% confidence level. Using a Z-table or statistical software, the Z-score is approximately 2.576.

Now we can plug in the values into the formula:

CI = 6.9% ± 2.576 * (5.5% / sqrt(104))

Calculating the values:

CI = 6.9% ± 2.576 * (0.5295%)

= 6.9% ± 1.364%

The 99% confidence interval for μ is approximately (5.536%, 8.264%).

b. The null hypothesis (H0) for testing whether the average compensation of all CEOs increased in 2021 is: The average compensation of all CEOs remained the same or decreased in 2021.

The alternative hypothesis (Ha) is: The average compensation of all CEOs increased in 2021.

c. To determine the test statistic, we need to know the sample mean, population standard deviation, sample size, and the distribution of the population. Since the population standard deviation (σ) is known and the sample size is relatively large (n > 30), we can use the Z-test.

The test statistic value is calculated using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the sample mean, μ is the hypothesized population mean under the null hypothesis, σ is the population standard deviation, and n is the sample size.

However, the value of the test statistic is not provided in the given information.

d. To determine if the study gives strong evidence that the average compensation of all CEOs went up, we compare the p-value to the significance level (α).

Since the p-value is not given in the information provided, we cannot make a direct conclusion. However, if the p-value is less than the significance level (α = 0.01), we would reject the null hypothesis and conclude that there is strong evidence that the average compensation of all CEOs increased in 2021.

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Answer:

2 nonreal solutions

Step-by-step explanation:

given a quadratic equation in standard form

ax² + bx + c = 0 (a ≠ 0 )

then the nature of the roots are determined by the discriminant

b² - 4ac

• if b² - 4ac > 0 then 2 real and irrational solutions

• if b² - 4ac > 0 and a perfect square then 2 real and rational solutions

• if b² - 4ac = 0 then 2 real and equal solutions

• if b² - 4ac < 0 then no real solutions

5x² - 2x + 6 = 0 ← in standard form

with a = 5 , b = - 2 , c = 6

b² - 4ac

= (- 2)² - (4 × 5 × 6)

= 4 - 120

= - 116

since b² - 4ac < 0

then there are 2 nonreal solutions to the equation

On the interval [0, 2π], the minimum values of f(x) = 12cos^2(x) - 1 are -1, and the maximum values are 11.

To find the minimum and maximum values of the function f(x) = 12cos^2(x) - 1 on the interval [0, 2π], we need to determine the critical points and endpoints within that interval.

First, let's differentiate the function f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -24cos(x)sin(x).

Next, we set f'(x) equal to zero and solve for x:

-24cos(x)sin(x) = 0

This equation is satisfied when cos(x) = 0 or sin(x) = 0.

For cos(x) = 0, we have x = π/2 and x = 3π/2 as critical points.

For sin(x) = 0, we have x = 0 and x = π as critical points.

Now, we evaluate the function f(x) at these critical points and the endpoints of the interval [0, 2π]:

f(0) = 12cos^2(0) - 1 = 11

f(π/2) = 12cos^2(π/2) - 1 = -1

f(π) = 12cos^2(π) - 1 = 11

f(3π/2) = 12cos^2(3π/2) - 1 = -1

f(2π) = 12cos^2(2π) - 1 = 11

From the evaluations, we see that the minimum values of f(x) are -1, occurring at x = π/2 and x = 3π/2, while the maximum values are 11, occurring at x = 0, x = π, and x = 2π.

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Answer:

3 and 5

Step-by-step explanation:

yes

The two quantities are equal.We are given the sequence R, B, ..., P, and its values for n = 1, 2, 3.

From the given information, we can deduce the values of the sequence as follows:

R = R-1 = 1 (since it is not explicitly mentioned)

B = P2 - 2 = 4 - 2 = 2

P = -(2)(2-2) = 0

Now we need to evaluate the product (R)(B)(B)(P₄) for n = 2 and n = 3:

For n = 2:

(R)(B)(B)(P₄) = (1)(2)(2)(0) = 0

For n = 3:

(R)(B)(B)(P₄) = (1)(2)(2)(0) = 0

Therefore, the value of the product (R)(B)(B)(P₄) is 0 for both n = 2 and n = 3. This implies that Quantity A is equal to Quantity B, and the two quantities are equal.

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The required age from the equation is 12 years old

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the age to be calculated be = a

The age of the brother be b = ( 1 / 3 ) a

Multiply by 3 on both sides , we get

a = 3b

So , Age to be calculated a = 3b

The age of sister c = 6 years elder than brother

So ,

The age of sister c = b + 6

The age of sister c = 10

From the equations , we can simplify that

c = b + 6

Substituting the value for c , we get

10 = b + 6

Subtracting 6 on both sides , we get

b = 4

Now , from the equation , we get

Age to be calculated a = 3b

                                      = 3 x 4

                                      = 12 years old

Hence , the age to be calculated a is 12 years old

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

The length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

To find the length of the diagonal of a square when the area is given, we can use the formula for the area of a square:

Area = \(side^2\)

where side is the length of one side of the square. Rearranging the formula to solve for side, we have:

side = √Area

Substituting the given area of 81 square centimeters, we get:

side = √81 = 9 cm

The diagonal of a square can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides. Since a square has four right angles, its diagonal forms a right triangle with two sides of equal length. Therefore, we have:

\(diagonal^2 = side^2 + side^2diagonal^2 = 2(side^2)\)

Substituting the value of side that we found earlier, we get:

\(diagonal^2 = 2(9^2) = 162\)

Taking the square root of both sides, we get:

diagonal = √162 ≈ 12.7 cm

Therefore, the length of the diagonal of the square is approximately 12.7 centimeters, rounded to the nearest tenth.

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Answer:

The answer is:

Congruent triangles

Step-by-step explanation:

Any parallelogram when bisected results in two congruent triangles. The congruent triangles are those which have exactly same three sides and exactly three angles.

It can be seen in the attached picture. Two congruent triangles are received.

Answer:

A. congruent triangles

Step-by-step explanation:

Answer:

13 - 18

Step-by-step explanation:

1) Remove parentheses.

\(13 - 18\)

2) Simplify.

\( - 5\)

Therefor, the Option D has the same value as the equation.

Answer:

D. 13-18​

Step-by-step explanation:

Because it is the correct answer

The height of the part of the post that is above the ground is 10 - 3(1/3)

= 6(2/3) feet.

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Shape A was reflected over the y axis and translated 1 unit down to get shape B.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Shape A was reflected over the y axis and translated 1 unit down to get shape B.

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Answer:

CD= 2x-1

Step-by-step explanation:

AD = 6x-4

AC = 4x - 3

CD= AD- AC

CD=  6x-4 - (4x - 3)

CD= 6x - 4 - 4x +3

CD= 2x -1

Therefore, the value of CD= 2x-1

Answer:

C) The sum of the measures of the interior angles of a triangle is 180°.

Step-by-step explanation:

I got it correct on edge

The fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have two triangles shown in the picture.

Angle B = 46 degrees

Angle C = 45 degrees

Angle A = 180 - 45 - 46 = 89 degrees

Angle R = 46 degrees

Angle S = 180 - 46 - 89 = 45 degrees

Angle T = 89 degrees

Thus, the fact to prove ΔABC and ΔTRS are similar is The sum of the measures of the interior angles of a triangle is 180, option third is correct.

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The converse, inverse, and contrapositivecan be written asfollow

a) Converse: "If Jose is Jan's cousin, then Ann is Jan's mother."

Inverse: "If Ann is not Jan's mother, then Jose is not Jan's cousin."

Contrapositive: "If Jose is not Jan's cousin, then Ann is not Jan's mother."

b) Converse: "If Liu is Sue's cousin, then Ed is Sue's father."

Inverse: "If Ed is not Sue's father, then Liu is not Sue's cousin."

Contrapositive: "If Liu is not Sue's cousin, then Ed is not Sue's father."

c) Converse: "If Jim is Tom's grandfather, then Al is Tom's cousin."

Inverse: "If Al is not Tom's cousin, then Jim is not Tom's grandfather."

Contrapositive: "If Jim is not Tom's grandfather, then Al is not Tom's cousin."

The converse, inverse, and contrapositive are related to the conditional statement, which is an "if-then" statement.

The converse of a conditional statement is formed by switching the hypothesis and conclusion of the original statement. For example, the converse of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Jose is Jan’s cousin, then Ann is Jan’s mother."

The inverse of a conditional statement is formed by negating both the hypothesis and conclusion of the original statement. For example, the inverse of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Ann is not Jan’s mother, then Jose is not Jan’s cousin."

The contrapositive of a conditional statement is formed by switching the hypothesis and conclusion of the inverse statement. It is also formed by negating both the hypothesis and conclusion of the converse statement.

For example, the contrapositive of "If Ann is Jan’s mother, then Jose is Jan’s cousin" would be "If Jose is not Jan’s cousin, then Ann is not Jan’s mother."

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