Find an equation of the line L that passes through the point
(−2, 4)
and satisfies the condition. (Let x be the independent variable and y be the dependent variable.)
L is parallel to the line
3x − 2y = 6.

Answer:

An algebraic expression is a statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations.

Step-by-step explanation:

An example could include x^3 + 1, or something more complicated, like (y^4x^2 + 2xy – y)/(x – 1) = 12

Answer:

Step-by-step explanation:

These are equations which have an = sign and have a variable that needs to be found.

E.g x + 3 = 24

The surface area of a cylinder can be calculated using the following formula: Surface Area = 2πr2 + 2πrh, where r is the radius and h is the height of the cylinder.

In this case, Jenny is looking to store her soup in a cylindrical container and completely cover it in aluminium foil. This means the surface area of the container will be equal to the surface area of the cylinder plus the surface area of the foil. So, if the radius of the cylinder is r and the height is h, the surface area of the container is:

Surface Area = 2πr² + 2πrh  
Surface Area of Foil = 2πr² + 2πrh + 2r²π

Substituting in the given value for pi, we get Surface Area = 6.28r² + 6.28rh + 2r²π.

Therefore, the surface area of the container is equal to 6.28r² + 6.28rh + 2r²π, where r is the radius and h is the height of the cylinder.

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Answer: $27.50

(correct me if i'm wrong, please)

Step-by-step explanation:

(22) + (22 * 0.20) + (20 * 0.05)

22 + 4.40 + 1.10

22 + 5.50

= $27.50

The following equation after completion gives us the result which are given below :

An equation is made up of two expressions joined by an equal sign ("="). The two expressions on each side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. This will not limit generality since we can balance it by subtracting the right-hand side expression from the expressions on both sides.

Algebra examines two major groups of equations: polynomial equations and linear equations. P(x) = 0, where P is a polynomial and axe + b = 0 is the generic form of linear equations, can be used to write polynomial equations with one variable. a and b are parameters in this case. To solve these equations, we can use geometric or computational approaches from linear algebra or mathematical analysis. There are also several sorts of equations, such as:

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The region (labelled A) corresponding to all values of x and y that is added as an attachment

Based on the given information, we can write the following system of inequalities:

Lashonda exercises for at least 7 hours:

x + y ≥ 7

She spends at most 5 hours on weight training:

y ≤ 5

She spends at most 11 hours doing cardiovascular work:

x ≤ 11

So the system of inequalities can be written as:

x + y ≥ 7

y ≤ 5

x ≤ 11

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The probability that a discrete random variable equals any of its values is 1. This is because each discrete random variable can take any value within its range with equal probability.

X is a discrete random variable, then for any value x that X can take on, the probability P(X=x) is a number between 0 and 1. This means that there is a non-zero probability for each possible value of X. The sum of the probabilities of all possible values of X must equal 1. This is known as the probability distribution of X.

Mathematically, we can express this as:

0 ≤ P(X=x) ≤ 1 for all x

∑ P(X=x) = 1 over all possible values of x

For example, if X represents the outcome of a fair six-sided die roll, then the probability of X equaling any of its values (1, 2, 3, 4, 5, or 6) is 1/6, since each outcome has an equal probability of occurring and there are six possible outcomes. Therefore, P(X=1) = P(X=2) = P(X=3) = P(X=4) = P(X=5) = P(X=6) = 1/6 and the sum of these probabilities is 1.

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Answer:

Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

Rate of cost for printer A = $26.99/100 pages
= $ 0.2699 ≈ $0.27 per page

Rate of cost for printer B = $67.99/275 pages

=$ 0.2472 ≈ $0.25 per page

0.25 < 0.27

So Printer B has the better rate of cost

Answer:Printer B, because the approximate rate of Printer A, $0.27 per page, is greater than the approximate rate of Printer B, $0.25 per page

Step-by-step explanation:

The rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

The rate of change of the area is the rate at which the area is increasing or decreasing over a given period of time. It is calculated by taking the difference between the initial and final area values and dividing it by the amount of time it took for the change to occur.

For example, if the area of a square increases from 10 square meters to 12 square meters over a period of two days, then the rate of change of the area would be (12-10)/2 = 1 square meter per day.

The rate of change of the area of a circle is equal to the negative of the product of the rate of change of the radius and the square of the radius. The rate of change of the radius is given as -3 inches per minute, and the radius is given as 8 inches. So, the rate of change of the area is equal to -3 * 8^2 = -12.694 in2/min.

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Answer: -20

Step-by-step explanation:

2(-1 x 3 - 7)

2(-3-7)

2(-10)

-20

Answer:

[tex]\huge\boxed{\sf -20}[/tex]

Step-by-step explanation:

= 2(xy - 7)

Put x = -1, y = 3

= 2[(-1)(3) - 7]

= 2(-3 - 7)

= 2(-10)

[tex]\rule[225]{225}{2}[/tex]

The ingredients for the snack mix recipe will cost $3.05

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

To find the cost of the ingredients for the snack mix recipe, we need to first calculate the cost per pound of each ingredient, and then multiply that by the amount required in the recipe.

The owner pays $3.40 for 2 pounds of chocolate chips:

cost per pound = $3.40 ÷ 2 = $1.70

The owner pays $1.80 for 4 pounds of raisins:

cost per pound = $1.80 ÷ 4 = $0.45

Now we can use these costs to find the total cost of the ingredients for the recipe:

1 pound of chocolate chips = $1.70

3 pounds of raisins = 3 × $0.45 = $1.35

Total cost of the ingredients = $1.70 + $1.35 = $3.05

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14 kilometers is approximately equal to 8.699 miles

The conversion factor from kilometers to miles is 0.621371.

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.

The distance in kilometer = 14 kilometers

The distance in miles = conversion factor × The distance in kilometer

Substitute the values in the equation

The distance in miles = 14 × 0.621371

Multiply the numbers

=  8.699 miles (to three decimal places).

Therefore, the 14 km is 8.699 miles

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To find the sum of the squared differences, you first need to calculate the mean of the data set. Then, you need to subtract the mean from each score to get the difference. Finally, you need to square each difference and add them all together to get the sum of the squared differences.

Here are the steps to find the sum of the squared differences:

1. Calculate the mean of the data set by adding up all the scores and dividing by the number of scores.
2. Subtract the mean from each score to get the difference.
3. Square each difference.
4. Add up all the squared differences to get the sum of the squared differences.

For example, if the data set is {1, 2, 3, 4, 5}, the mean is (1+2+3+4+5)/5 = 3. The differences are (-2, -1, 0, 1, 2), and the squared differences are (4, 1, 0, 1, 4). The sum of the squared differences is 4+1+0+1+4 = 10.

So, the sum of the squared differences for this data set is 10.

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The number of years it will take to reach $2500 is 9.21 years.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + r/n)^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

Principal = $1200

Rate = 8%

Compounded monthly.

So,

n = 12

A = $2500

Now,

A = P [tex](1 + r/n)^{nt}[/tex]

Substituting all the values above.

2500 = 1200 x [tex](1 + 0.08/12)^{12t}[/tex]

25 = 12 x [tex](1.0067)^{12t}[/tex]

25/12 = [tex](1.0067)^{12t}[/tex]

2.0833 = [tex](1.0067)^{12t}[/tex]

Taking logs on both sides.

log (2.0833) = 12t log (1.0067)

12t = log (2.0833) / log (1.0067)

t = 9.205 years

Thus,

It will take 9.21 years to reach $2500.

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10m for the 1st floor. 7.32m for the 2nd floor.

What is the Trigonometry?

Trigonometry is a branch of mathematics concerned with relationships between angles and ratios of lengths.

Let the point where the man is standing on window be A.

Let the point where the dustbin is there be B.

Let the foot of the building be C.

So, according to the given details,

CB = 10m.

angle (ABC)= 45 degrees.

Let the point of the 2nd floor be P.

We must understand what the angle of depression is: It is the angle measured below the horizontal level.

In triangles ABC and PBC, we use trigonometric ratios as follows:

[tex]tan(45) = AC/BC\\\\AC = BC = 10cm.\\tan(60) = CP/BC\\\\CP = BC\sqrt[2]{3}\\CP = 10\sqrt[2]{3}\\ CP = 17.32m. \\\\2ndfloorheight = CP - AC = 7.32m[/tex]

Hence, 10m for the 1st floor. 7.32m for the 2nd floor.

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The expression for the magnetic flux through the hemispherical surface of the bowl is EπR².

Hemisphere:

The word hemisphere can be divided into hemisphere and sphere. Hemisphere means half, and sphere means three-dimensional shape in mathematics. Thus, a hemisphere is a three-dimensional geometric shape that is a hemisphere that is flat on one side and a round bowl on the other. It is formed when a sphere is cut exactly down the center along its diameter, leaving two identical hemispheres.

The volume of a hemisphere is the number of unit cubes that can fit inside it. The units of volume are cubic units, such as m³, cm³, ft³ and so on.

The volume of a hemisphere = 2/3πr³

where

r is the radius of the hemisphere.

According to the Question:

Flux passing through the curved surface is equal to the flux passing through the flat surface.

Since flux through the flat surface    

ϕ flat = E× Area

         = E× πR²

The electric flux through a closed surface is 1/E₀ times the total charge unclosed.

By Gauss's law, flux ,

Since number of field lines entering from circular side is equal to number of field lines leaving the hemispherical surface, net flux is 0.

Therefore,

(Flux)h + (flux)c = 0     -------------------------(1)

[* (flux)h means flux from hemispherical surface and (flux)c means flux from circular surface]

Therefore,

(flux)h = - (flux)c     ---------------------------- (2)

Flux = E.A [ Where E and A are vectors ]

Flux = E A cos θ

(Flux)c = EA cos π [ Because field and surface area vector are anti parallel]

(flux)c = E πR² (-1)    ------------------------------ (3)

From equation (2) and (3)

   (flux)h = - (- EπR²)

⇒ (Flux)h = EπR²

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The correct answer is option (c): They are both solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both the inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is option (c): They are both solid lines.

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The lines will have a positive slope and slant upward from left to right since the coefficients of x and y in both inequalities are positive. Both lines have a y-intercept of 5.

Hence, option (c) is the appropriate response: Both of them are solid lines.

In mathematics, an inequality is a statement that two values are not equal. Instead, one value is either greater than or less than the other value. Inequalities are represented by symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

For example, the inequality 5 < 8 means that 5 is less than 8, while the inequality x + 3 > 7 means that the sum of x and 3 is greater than 7.

Inequalities can be graphed on a number line, which is a horizontal line that represents the set of real numbers. To graph an inequality on a number line, you can draw a closed or open circle at the value of the variable that satisfies the inequality, and shade the region to the left or right of the circle, depending on the direction of the inequality.

For example, to graph the inequality x < 3, you would draw an open circle at 3 on the number line, and shade the region to the left of the circle, because x is less than 3. Similarly, to graph the inequality y ≥ -2, you would draw a closed circle at -2 on the number line, and shade the region to the right of the circle, because y is greater than or equal to -2.

Graphing inequalities on a number line is a useful tool for solving problems and visualizing the solutions to inequalities in one variable.

The inequality y ≤ 3x + 5 can be written as y = 3x + 5 or y > 3x + 5. Similarly, the inequality y ≤ (2/3)x + 5 can be written as y = (2/3)x + 5 or y > (2/3)x + 5. Since the inequality symbols are less than or equal to, the lines representing these inequalities will be solid lines.

Also, since the coefficients of x and y are positive in both inequalities, the lines will have a positive slope and will slant upwards from left to right. The y-intercept of both lines is 5.

Hence, the correct answer is an option (c): They are both solid lines.

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herefore, the area of the triangle is approximately 2.58 square yards.

Area = (1/2) * a * c * sin(B)

where B is the angle opposite to the side of length b, and a and c are the lengths of the other two sides.

In this case, we have:

B = 47 degrees (given)

a = 2 yards (given)

c = 4 yards (given)

To use the formula, we first need to find the length of the third side, b, using the Law of Cosines:

[tex]b^{2}[/tex] = [tex]a^{2}[/tex]+ ^[tex]c^{2}[/tex] - 2accos(B)

b^2 = 2^2 + 4^2 - 224cos(47)

b^2 ≈ 13.37

b ≈ 3.657

Now we can substitute the values into the formula for the area:

Area = (1/2) * a * c * sin(B)

Area = (1/2) * 2 * 4 * sin(47)

Area ≈ 2.58 square yards

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21% of 200 is going to be 42.

If you want this the simple way, multiply 21% to 200 and it will actually tell you the answer. :)

Answer:

42

Step-by-step explanation:

To find the percentage of a number, take the percent and change it to decimal form.

21% = .21

Multiply this by the number

.21 * 200

42

21% of 200 = 42

If functions h(x)= f(x)+g(x), the point (2, 2) is on h(x) and The point (–2, 0) is on h(x).

In mathematics, a function is a rule or a set of rules that assigns a unique output to each input of a given set of inputs. It is a type of mapping or transformation in which each member of one set (the inputs) is associated with a unique member of another set (the outputs). Functions are often represented by equations or graphs, and they can be used to describe relationships between different variables.

For example, the equation y = x2 describes the function that assigns to each number x its square y.

The point (2, 2) is on h(x) since h(x) = f(x) + g(x) = 2 + 0 = 2. The point (–2, 0) is on h(x) since h(x) = f(x) + g(x) = 0 + 0 = 0. The point (0, –3) is not on h(x) since h(x) = f(x) + g(x) = 0 + 2 = 2, which does not equal –3.

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Answer:

Mrs. Milton's car uses about 12 gallons of gasoline each week for her commute.

Step-by-step explanation:

The answer is mentioned in above pdf. so for bad handwriting

Answer:

convert the units

Step-by-step explanation:

68

Alternate interior angles - Congruent

Corresponding angles - Neither

Same side interior angles - Supplementary

Alternate angles are a type of angle formed when a straight line intersects two parallel lines. When this happens, alternate angles are formed on opposite sides of the transversal (the line that intersects the parallel lines).

Alternate angles are also known as "alternate interior angles" because they are located inside the parallel lines, but on opposite sides of the transversal. They are called "alternate" because they are located on opposite sides of the transversal and they are congruent, meaning they have the same angle measure.

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The attached answer is not mine, but is by a fellow Brainly user - isha00333

Keep in mind this is only for the first question.

These answers are by Brainly user aman1234e9 :

(ii) To find the total volume when x is 10 inches, we substitute x = 10 into the polynomial function:

V(10) = 8(10)^3 + 48(10)^2 + 96(10) + 64

V(10) = 8,864 cubic inches

Therefore, the total volume when x is 10 inches is 8,864 cubic inches.

(iii) To use the remainder theorem to find the total volume when x is 10 inches, we divide the polynomial function V(x) by (x-10) and evaluate the remainder.

We can use long division or synthetic division to perform the division, but using synthetic division, we have:

10 | 8 48 96 64

80 1280 2240

8 128 1376 2304

The remainder is 2304, so the total volume when x is 10 inches is 2304 cubic inches.

In observational studies, the variable of interest The correct answer is (a) is not controlled.

The variables are measured as they occur naturally, without any manipulation or intervention by the researcher. Therefore, the variable of interest is not controlled in observational studies.

Observational studies are used in situations where it is not feasible or ethical to conduct controlled experiments, such as in studies of the effects of environmental exposures or lifestyle factors on health outcomes. In these studies, the researcher cannot control the exposure or intervention and must rely on observational data to draw conclusions about the relationship between the exposure and the outcome.

The other options are not correct because:

b. If the variable of interest is controlled, then the study is a controlled experiment, not an observational study.

c. The variable of interest can be numerical or categorical in observational studies.

d. The variable of interest does not have to be numerical in observational studies, as it can also be a categorical variable

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Answer: (a) If the order of the choices is not taken into consideration, we want to count the number of combinations of 6 colors chosen from 10 distinct colors. The formula for the number of combinations of k objects chosen from a set of n distinct objects is:

n choose k = n! / (k! * (n-k)!)

So, the number of ways to choose 6 colors from 10 distinct colors, without replacement and without considering the order, is:

10 choose 6 = 10! / (6! * (10-6)!) = 210

Therefore, there are 210 ways to choose 6 colors from 10 distinct colors without considering the order.

(b) If the order of the choices is taken into consideration, then each choice can be made in 10 ways, and there are 6 choices to be made. Thus, the total number of ways to choose 6 colors from 10 distinct colors, with replacement and considering the order, is:

10 * 10 * 10 * 10 * 10 * 10 = 10^6 = 1,000,000

Therefore, there are 1,000,000 ways to choose 6 colors from 10 distinct colors, considering the order.

Step-by-step explanation:

im positive the answer is x<3

The quadratic equation that would not cross the x-axis is given as follows:

y = 4x² - 4x + 5.

The quadratic equation with imaginary roots is given as follows:

y = x² + 6x + 10.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

When a function has a negative discriminant, it does not cross the x-axis, meaning that it has imaginary roots.

Hence the functions are given as follows:

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Answer:

A.

Step-by-step explanation:

Answer A. sin(pi/2)=1, and because it is orthogonal to the x-axis, the x value is 0.

Answer:

in which year does a car lose the most of its value

Step-by-step explanation: