Average health premiums have been increasing at a rate of 5% per year. If an average familys premiums are $11,430 this year, what will they be in 2 years

The value of x that makes lines e and f parallel and intersected by transversal b is x = 25. Answer choice (c) is correct.

Lines that are parallel to one another on a plane do not intersect or meet at any point. They are always equidistant from one another and parallel. Non-intersecting lines are parallel lines. Parallel lines can also be said to meet at infinity.

When parallel lines e and f are cut by a transversal, the corresponding angles are congruent. Using this fact, we can set up an equation involving the angles formed by the intersection of lines e and f with transversal b:

2x + 10 = 3x - 15

Solving for x, we get:

x = 25

Therefore, the value of x that makes lines e and f parallel and intersected by transversal b is x = 25. Answer choice (c) is correct.

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Answer:

Step-by-step explanation:

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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Step-by-step explanation:

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

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 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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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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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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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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It should be noted that the geometrical constraint is that the average of the top and bottom lines will be the middle line thus the value of length XY is 18 units.

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

The average of the top and bottom lines will be the middle line.

So, (6s + 1 + s)/2 = (4s - 2)

7s + 1 = 8s - 4

5 = s.

So,

XY = 4(5) - 2

= 20 - 2

= 18.

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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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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 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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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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The area of the shaded region is 5π  

The sector of a circle refers to the region enclosed by two radii of a circle and the arc between them. It is a part of the whole circle, and its area can be calculated using the following formula:

where θ is the central angle (in degrees) of the sector, r is the radius.  

Here we have

The length of arc FG = 5/3 π  and measure of ∠FEG = 50°

As we know Arc Length = θ × (π/180) × r  

=> Length of arc FG = 50 × (π/180) × r

From the given data,

=> 50 × (π/180) × r = 5π/3

=> 5 × (1/18) × r = 5/3

=>  (1/6) × r = 1

=> r = 6 units  

Hence, the radius of the circle is 6 units

By using the formula,

Area of a Sector of Circle = (θ/360°) × πr²

Area of shaded region = (50/360) × π(6)²  

= (5/36) × π(36)

= (5/36) × π(36)

= 5π  

The area of the shaded region is 5π  

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Answer:

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

Step-by-step explanation:

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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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 true statement is, 3) Each bag must contain at least 20 marbles.

We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

The anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

1. From the table, Piper's bag has definitely more pink marbles than Kai's.

2. If Piper chooses 15 more marbles he can expect (4/30)×15 = 2 orange marbles.

3. There can be green marbles in Kai's bag as the process is repeated only 20 times.

4. So, The true statement is each bag must have at least 20 marbles,

As the sum of different colored marbles is 20.

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Answer:

If Piper chooses 15 more marbles, she can expect 3 to be orange.

Roots of the given quadratic equation are

x = -4/9 + 6.86i/9 and x = -4/9 - 6.86i/9

A quadratic equation is a second-order algebraic equation in x. The quadratic equation in standard form is ax² + bx + c = 0.

where a and b are the coefficients, x is the variable, and c is the constant term.  

Given, equation

9x² + 10x + 16 = 2x + 9

taking 2x + 9 to left side

9x² + 10x + 16 - 2x - 9 = 0

Subtracting like terms

9x² + 8x + 7  = 0

here, a = 9, b = 8, c = 7

Quadratic formula for the solution

x = (-b ± √(b² - 4ac))/2a

x = (-8 ± √(8² - 4 . 9 . 7))/2 . 9

x = (-8 ± √(64 - 252))/18

x = (-8 ± √- 188)/18

x = -4/9 + 6.86i/9 and x = -4/9 - 6.86i/9

Hence, x = -4/9 + 6.86i/9 and x = -4/9 - 6.86i/9

are the roots of the given equation.

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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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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.

The correct answer regarding the volume of the pyramid has been explained and given below.

The volume of the pyramid shape is given by the product of its base area and its height and then the product is divided by 3.

i.e.V = (1/3)a²h

So, the options which are correct are, (a) XY and ST , (b) VU and TW  and (d) TX and WX.

From the given figure we can clearly see that,

a=XY=YZ=ZU=UV=VW=WX

h=ST

Firstly, the volume of the pyramid can be easily determined by XY and ST.

and also, VU and WX can be used to calculate the area of the base and YZ and TX can be used to calculate height.

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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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The measure of angle x is 70°  

For a triangle, the exterior angle is the angle formed by extending one of the sides of the triangle

The Triangle Exterior Angle Theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

Here we have

A triangle where 105° is an exterior angle

And 'x' is an interior angle

Name the given triangle as given below

If we take AC as Transversal which cuts AB and DC  

=> ∠A = 35°    [ Alternate Interior Angles ]      

In a triangle,

The measure of an exterior angle will equal to the sum of measures of opposite interior angles.  

=> x° + 35° = 105°  

=> x° = 105° - 35°  

=> x° = 70°  

Therefore,

The measure of angle x is 70°

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To value of volume 750 ml after converting to cups is 3.17 cups.

The conversion is useful when you need to measure liquids in cups instead of milliliters, especially if you are following a recipe that is written in cups instead of milliliters.

To convert 750ml to cups, you need to know that one cup is equal to 236.6ml. Knowing how to make the conversion can help you get the right measurements and produce accurate results in your cooking or baking. To do the conversion, divide 750 by 236.6 to get the answer in cups.

So, 750ml / 236.6ml per cup = 3.17 cups (rounded to the nearest hundredth).

Therefore, volume of 750ml is equivalent to 3.17 cups.

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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]

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.