Y-intercept of 0 and slope of 4 what is the equation

Answer:

Step-by-step explanation:

A linear equation has only more than one additional, that may be expressed as , and the further discussion can be defined as follows:

In this, No factor has been raised the power which is greater than one or utilized as the denominator of a fraction.  

When we discover pairs of values that satisfy a linear model and plot them on a coordinate grid, all the points fall on the same line.

Please find the attached file of the graph.

To find the probability that the disposal of small capacitors containing PCB will be regulated, we need to calculate the probability that the sample mean amount of PCB is 48.5 ppm or more. The mean amount of PCB in these capacitors is 48.1 ppm, with a standard deviation of 6 ppm.

We can use the Central Limit Theorem and the standard normal distribution to determine the probability. By calculating the z-score and using the z-table or a statistical calculator, we can find the probability.

To calculate the probability, we can use the Central Limit Theorem, which states that for a large enough sample size, the distribution of sample means will be approximately normally distributed, regardless of the underlying distribution of the population.

First, we calculate the z-score using the formula:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

In this case, the sample mean is 48.5 ppm, the population mean is 48.1 ppm, the standard deviation is 6 ppm, and the sample size is 37.

z = (48.5 - 48.1) / (6 / sqrt(37))

Calculating the z-score:

z ≈ 0.1404

Next, we can use the z-table or a statistical calculator to find the probability associated with the z-score. The probability corresponds to the area under the standard normal distribution curve beyond the z-score.

Using the z-table or a calculator, we find that the probability is approximately 0.556.Rounding to three decimal places, the probability that the disposal of these capacitors will be regulated is approximately 0.556.

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The first-order optimality condition for convex optimization problems can be applied to characterize the optimal point, x* in the given optimization problem.

The first-order optimality condition states that if x* is an optimal point for the given convex optimization problem, then there exists a vector v* such that:

∇f(x*) + v* = 0

Here, ∇f(x*) is the gradient of the objective function f(x) evaluated at x*, and v* is the Lagrange multiplier associated with the constraint x ∈ C.

In the given optimization problem, the objective function is ∥a−x∥², and the constraint set is C.

To apply the first-order optimality condition, we need to find the gradient of the objective function. The gradient of ∥a−x∥² is given by:

∇f(x) = 2(x - a)

Now, let's apply the first-order optimality condition to the given problem:

∇f(x*) + v* = 0

Substituting the gradient expression:

2(x* - a) + v* = 0

Rearranging the equation:

x* = a - (v*/2)

This equation provides a characterization of the optimal point x* in terms of the Lagrange multiplier v*. By solving the equation, we can find the optimal point x*.

It's important to note that the Lagrange multiplier v* depends on the constraint set C. The specific form of v* will vary depending on the nature of the constraint set. In some cases, it may be necessary to further analyze the specific properties of the constraint set C to fully characterize the optimal point x*.

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Answer:

8

Step-by-step explanation:

18-12

12-X

X=12*12/18

X=8mm

using trignometric ratio of sine thee measure of the angle x to the nearest degree is 28 degrees

Trigonometric ratios are ratios of the sides of a right triangle, such as sine, cosine, and tangent, that are used to find missing side lengths or angles.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex. It is typically measured in degrees or radians.

According the given information:

We can use the trigonometric ratio of sine to find the measure of the angle x.

sin(x) = opposite/hypotenuse

In this case, the opposite side is the height of the triangle, which is 13, and the hypotenuse is the length of the diagonal line connecting the base and the top of the triangle. We can use the Pythagorean theorem to find the length of the hypotenuse.

hypotenuse² = base² + height²

hypotenuse² = 22² + 13²

hypotenuse² = 769

hypotenuse ≈ 27.73

Now we can substitute the values into the sine ratio:

sin(x) = 13/27.73

x ≈ 28 degrees

Therefore, the measure of the angle x to the nearest degree is 28 degrees.

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To calculate the covariance and correlation coefficient of U and V, we need to first find the expected value and variance of U and V.

The covariance of two variables is a gauge of their relationship. In other words, it is a measure of how much the values of two variables tend to fluctuate together. Positive covariance shows that the values of the two variables tend to rise or decrease together, whereas negative covariance indicates that the values of one variable tend to increase when the values of the other variable drop. In probability theory and statistics, covariance is frequently employed to determine the association between two variables. It is determined by multiplying the variances of the two variables from their respective means and dividing the result by the total number of observations. This metric can be helpful for seeing trends and patterns in data and aiding analysts in forecasting.

How to solve?

The expected value of U is $E[U] = E[2 - X_1 - 2X_2] = 2 - m - 2m = -2m. Similarly, the expected value of V is $E[V] = E[3 + 3X_2 - X_3] = 3 + 3m - m = 4m.

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To calculate the value of covariance and correlation coefficient of U and V, we have to find their expected value along with variance.

A measure of the link between two random variables and how much they fluctuate together is called covariance. Alternately, we may say that it establishes the relationship between the two variables' changes, i.e., that a change in one variable is equivalent to a change in the other.

When one variable changes, covariance shows the link between the other two variables. Both variables are said to have positive covariance if a rise in one causes an increase in the other. Reduced values of one variable also result in reduced values of the other.

for expected value of U ;

= $E[U]

= E[2 - X_1 - 2X_2]

= 2 - m - 2m = -2m.

Similarly, the expected value of V;

= $E[V]

= E[3 + 3X_2 - X_3]

= 3 + 3m - m

= 4m.

now we can easily calculate the covariance and correlation coefficient of U,V.

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Answer:

yes because it is odd

Step-by-step explanation:

Answer:

7 is a rational number. Rational numbers are numbers that result when two integers are divided. For example, two integers whose quotient is equal to 7 are 14 and 2. When you divide 14 by 2, the result is 7, and this validates 7 as a rational number.

If you travel 200 miles in four hours, then your average speed for the trip is 50 miles per hour. This is calculated by dividing the total distance traveled (200 miles) by the total time taken (4 hours).

So, if you travel 200 miles in four hours, your average speed is 50 mi/h.

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Answer:

ok

Step-by-step explanation:

Answer:

7) .15 + .7 = .85, .1 + .7 = .8

9) Another way to write 44n (44

times n) is 44•n.

Another way to write 44 ÷ n (44

divided by n) is 44/n.

10) $.25 × 7 = $1.75

11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?

A unit rate is the amount of a quantity at the rate of one.

The number of hours per week to earn approximately 190 is

22 hours 45 minutes

A unit rate is the amount of a quantity at the rate of one.

It is written as a ratio with a denominator of one. 

Example:

If 3 miles in 3 minutes then 1 mile in 1 minute.

We have,

The amount earned per hour = 8.35

This can be written as:

1 hour = 8.35

Multiply 190/8.35 on both sides.

190/8.35 x 1 hour = 190/8.35 x 8.35

22.75 hours = 190 ____(1)

1 hour = 60 minutes

0.75 hour = 45 minutes

From (1) we get,

22 hours 45 minutes = 190

Thus,

The number of hours per week to earn approximately 190 is

22 hours 45 minutes.

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The expression which represents length of fence to cover the

trapezium = 4x² - 10x + 1

In the given trapezium,

Length of sides of trapezium are,

x²-3x, 3x-1, x+2, 3x²-11x

Here we have to find perimeter of trapezium.

Perimeter of trapezium = sum of all length of sides

                                       = x²-3x + 3x-1 +  x+2 + 3x²-11x

                                       = 4x² - 10x + 1

Therefore the expression which represents length of fence to cover the

trapezium = perimeter of trapezium

Hence,

length of fence to cover the

trapezium = 4x² - 10x + 1

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Answer:

-1

Step-by-step explanation:

what you would start by doing is subtract x from 5 which gives it -6x. then, you would add the 2 to the 4 which cancels out the negative 2. so it should look like 6=-6x, then you would divide 6 by -6 which gives your answer as -1

The substitution, transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x). It is done as:

The equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x or constants, this is called Bernoulli's equation.

Now, we have to substitution using 

\(v = {y}^{1 - n} \)

Differentiating both side with respect to 'x'

\(v' = (1 - n) {y}^{ - n} y' \\ \frac{dx}{dy} = \frac{1}{1 - n} {y}^{n} v'\)

we get,

\(= \frac{1}{1 - n} {y}^{n} v' + p(x)y \\ = q(x) {y}^{n} \\ = v' + (1 - n)p(x) {y}^{1 - n} \\ = (1 - n)q(x)\)

Now, by using 

\(v' = {y}^{1 - n} \)

The given equation is expressed as:

\(v + (1 - n)p(x)v = (1 - n)q(x)\)

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

The Bernoulli equation simply states that total energy per unit mass of flowing fluid, at any point in the subsurface, is the sum of the kinetic, potential, and fluid-pressure energies and is equal to a fixed value. The Bernoulli Equation can be viewed as a statement of the conservation of energy principle applicable to flowing fluids.

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Answer:

Explanation:

Given the circumference of the circle as 66 in, we can use the below formula to find the radius of the circle;

total money she has is 32 $

now after buying she has left only with 20$

so she spent 32 - 20 = 12 $

she spent 12 $ for buying 9 packs of noisemaker,

9 Pack cost = 12 $

1 pack cost = 12 / 9

= 4/3 = 1.3333 $

so cost of each pack of noise is 1.33 $

Answer:

Step-by-step explanation:

You can start by rewriting the top equation.

\(6a^2b - 12ab^2 = - 2ab (3a + 6b)\)

Therefore,

\(\frac{6a^2b - 12ab^2}{-2ab} = \frac{-2ab(-3a+6b)}{-2ab} = -3a + 6b\)

Answer:

\(3a^{-1} b^{-1}\) would be my best answer

The values of x and y to make the polygon a parallelogram are given as follows:

Then the length of VT is given as follows:

VT = 150.

In a parallelogram, the diagonals are congruent.

Then we have that RM = MW, hence the value of x is obtained as follows:

4x = 84

x = 84/4

x = 21.

We also have that VM = MT, hence the value of y is obtained as follows:

3y + 15 = 75

3y = 60

y = 60/3

y = 20.

Then the length of VT is obtained as follows:

VT = 2VM

VT = 150.

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Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

Answer:

The formulas are functionally the same, but 'n' (the sample size) is used instead of 'N' (the population size).

Step-by-step explanation:

The sample mean is the average value for a set of observations which is derived from a population. While the population mean is the average value for the entire set of observation belonging to a particular study of interest.

The set of observation belonging to a population is denoted by 'N' ; while the sample size is denoted as 'n' :

The mean formula is written thus :

Population mean = Σx / N

Sample mean = Σx / n

Where, x = set of values.

Remember that

If f is continuous over [a,b] and differentiable over (a,b), then there exists c∈(a,b) such that

In this problem, we have the function

over the interval [1,3]

so

f(a)=f(1)=9/(1)^3=9

f(b)=f(3)=9/(3)^3=1/3

substitute

Find out the first derivative f'(x)

Equate the first derivative to -13/3

therefore

The given statement "A reaction that has K_eq = 2.0 × 10^(-8) will have high concentrations of products" is false because a low value of K_eq indicates a greater concentration of reactants compared to products.

The equilibrium constant, K_eq, represents the ratio of product concentrations to reactant concentrations at equilibrium. In this case, a K_eq value of 2.0 × 10^(-8) suggests that the concentration of products is significantly lower compared to the concentration of reactants.

This implies that the reaction favors the formation of reactants rather than products. Therefore, the statement is false as it states that the reaction will have high concentrations of products, which is contradictory to the low K_eq value provided.

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Answer:

Step-by-step explanation:

I think it is solve for a

a / 5 = ap + q

a(1/5 - p) = q

a(1 - 5p) = 5q

a = 5q / (1 - 5p)

a) Diminishing returns start at x = 1,  where the marginal revenue will be less than the marginal cost

b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

a) At what level of advertising spending does diminishing returns start?

Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.

b) How much revenue will the company earn at that level of advertising spending?

At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.

c) What does 0≤x≤25 tell us with respect to this problem?

In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.

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The data distribution is skewed to the right. This is because the bars are clustered towards the left side of the histogram and taper off towards the right side.

The histogram of distances students live from school provided in the question shows that the majority of students in Tuan's homeroom live within a short distance of the school, with only a few students living farther away. The distribution is skewed to the right because the bars are clustered towards the left side of the histogram and taper off towards the right side. This indicates that there are fewer students who live farther away from school. A skewed distribution means that the data is not evenly distributed and tends to cluster towards one end. In this case, the distribution is skewed to the right because there are fewer students living farther away from school.

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Complete question is in the image attached below

Answer:

B. skewed.

Step-by-step explanation:

and then the next part is

1

hope this helps :)

Answer:

$42 for 8 tickets

Step-by-step explanation:

To tell which is the better deal you need to find out how much each ticket costs per scenario

$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket

$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket

$42 option is cheaper per ticket so it is therefore the better option.

Answer:

Step-by-step explanation:

If one bottle of perfume holds 5 millimeters and we only have two, we would only be able to fill the bottle 2/5 of the way.

Answer:

6 seconds

Step-by-step explanation:

h(x)=-(x-2)^2+16

We want h(x) to be 0 ( that is when the ball hits the ground)

0 = -(x-2)^2+16

Subtract 16 from each side

-16  = -(x-2)^2+16-16

-16 = -(x-2)^2

Divide by -1

16 = (x-2)^2

Take the square root of each side

sqrt(16) = sqrt((x-2)^2)

±4 = x-2

Add 2 to each side

2±4 = x-2+2

2±4 =x

2+4 = x   2-4 = x

6 =x  -2 =x

Time cannot be negative so x=6

Answer:

X = 6

Step-by-step explanation:

hope it will help you