Which situation can be represented by y=12x?
Responses

Frank is y years old. This is half the age of his older sister, Margret, who is x years old.
Frank is , y, years old. This is half the age of his older sister, Margret, who is , x, years old.

Yvonne has y dollars. This is one half more dollars than her friend Marie who has x dollars.
Yvonne has , y, dollars. This is one half more dollars than her friend Marie who has , x, dollars.

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The town of Maryville has x people. This is half as much as the town of Sunnyside which as y people.
The town of Maryville has , x, people. This is half as much as the town of Sunnyside which as , y, people.

A recipe calls for x eggs. This is half the number of required bananas which is represented by y.

Answer:

y=5x+33

Step-by-step explanation:

y-y1=m(x-x1)

y-8=5(x-(-5))

y-8=5(x+5)

y=5x+25+8

y=5x+33

The function y=3√-x-3 is graphed only over the domain of {x 1-8 ≤x≤ 8).  is the range of the graph is b) {y  : -5 < x < - 1 }

Range is set of Y values for which the function is define.

So, in order to find the range , we need to find the corresponding y values for given domain.

Put x = -8 in  y = ∛-x -3 then we get,

                y = ∛-x -3

                y = ∛-(-8) -3

                y = ∛8 -3

                y = 2 -3

                 y = - 1

Put x = 8 in  y = ∛-x -3 then we get,

                y = ∛-(8) -3

                y = ∛-8 -3

                y = -2 -3

                 y = - 5

Hence the range of function y = ∛-x -3 over the domain of {x : -8 < x < 8 } is

{y  : -5 < x < - 1 }

correct option is b) {y  : -5 < x < - 1 }

In arithmetic, the range of a function may seek advice from either of  intently associated concepts: The codomain of the feature The image of the function Given two units X and Y, a binary relation f between X and Y is a function if for each x in X there is exactly one y in Y such that f relates x to y.

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The correct option d. the event can take no more than a maximum amount of time, described the  an event has a timebox.

A timebox is a set amount of time during which a work must be completed in agile software development.

Thus, when an event has a timebox, it signifies that the event can only last a certain length of time.

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The total surface area of the prism is 850 square centimeters

From the question, we have the following parameters that can be used in our computation:

The prism formed from compound rectangles

The surface area of the prism from the net is calculated as

Surface area = sum of areas of individual shapes that make up the net of the prism

Using the above as a guide, we have the following:

Area = 14 * 8 + 2 * (19 * 14) + (17 - 14) * 5 * 2 + 17 * 8 + 5 * 8

Evaluate

Area = 850

Hence, the surface area is 850 square centimeters

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Answer:

y=x1/2

Step-by-step explanation:

y = Vera

x = Chuck

The expected loss per game is approximately -$0.31.

The terms we need to consider in this problem are: standard 52-card deck, face cards, and expected gain or loss.
To find the expected gain or loss per game, follow these steps:

1. Determine the probability of drawing a face card.
There are 12 face cards (Kings, Queens, and Jacks) in a standard 52-card deck. So the probability of drawing a face card is \(\frac{12}{52}\), which simplifies to \(\frac{3}{13}\).

2. Determine the probability of drawing a non-face card.
There are 40 non-face cards in the deck (52 cards - 12 face cards). So the probability of drawing a non-face card is \(\frac{40}{52}\), which simplifies to \(\frac{10}{13}\).

3. Calculate the expected gain or loss per game.
Expected gain or loss = (Probability of drawing a face card x gain from drawing a face card) + (Probability of drawing a non-face card x loss from drawing a non-face card)

4. Simplify the equation.
Expected gain or loss = \((\frac{3}{13} (2))  +  (\frac{10}{13} (-1))\)
Expected gain or loss = \(\frac{-4}{13}\)

Your expected loss per game is approximately -$0.31 (rounded to two decimal places).

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a. This is a depreciation.

b. The value changed by approximately 102,700%.

a. Depreciation refers to a decrease in the value of a currency relative to another currency, typically due to market forces or economic factors.

In this case, the exchange rate of $1.00 to Bs1,027 indicates that the value of the currency (Bs) has decreased compared to the U.S. dollar.

Therefore, it is a depreciation.

b. To calculate the percentage change in value,

we can use the formula: ((New Value - Old Value) / Old Value) * 100.

In this case, the new value is Bs1,027 and the old value is $1.00.

Plugging in these values, we get ((1,027 - 1) / 1) * 100,

which equals approximately 102,700%.

This means that the value of the currency (Bs) has decreased by approximately 102,700% relative to the U.S. dollar.

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Answer:

Angle TWX equals 44.

How To Do It:

You set the expressions equal to each other & solve for x. Then you plug x into each expression & add them.

Set Expressions Equal To Each Other To Find The Value Of X:

(6x-26)=(2x+6)----------add 26 to each side

6x=2x+32----------subtract 2x from both sides

4x=32----------divide both sides by 4

x=8

Plug-In The Value Of X To Each Expression & Add:

(6(8)-26)+(2(8)+6)----------distribute the 8 to each coefficient

(48-26)+(16+6)----------add/subtract numbers inside the parentheses

(22)+(22)----------add the final products together

44----------*Final Answer*

Answer:

AC = 13.5

Step-by-step explanation:

Using the law of sines

AC             BC

---------  = ----------------

sin B         sin A

AC             14

---------  = ----------------

sin 24        sin 25

Using cross products

AC sin 25  = 14 sin 24

AC = 14 sin 24 / sin 25

AC =13.47389244

To the nearest tenth

AC = 13.5

Answer: y=10x +6

Step-by-step explanation:

The slope is 10 and the line will cross the y-axis at 6.

In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

To evaluate the given iterated integral ∫∫R (1 - y²)/(9(x + y)) dA, where R is the region in the xy-plane bounded by the curves x = 0, y = 1, and 9(x + y) = 2, we can convert it to polar coordinates for easier computation.

In polar coordinates, we have x = rcos(θ) and y = rsin(θ), where r represents the distance from the origin and θ is the angle measured counter clockwise from the positive x-axis.

The integral becomes ∫∫R (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) r dr dθ. In the polar coordinate system, the region R corresponds to 0 ≤ r ≤ (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)) and 0 ≤ θ ≤ π/2.

In the given integral, we substitute x and y with their respective polar coordinate representations. The numerator becomes 1 - r²sin²(θ), and the denominator becomes 9(rcos(θ) + rsin(θ)). Multiplying the numerator and denominator by r, we have (1 - r²sin²(θ))/(9(rcos(θ) + rsin(θ))) = (1 - r²sin²(θ))/(9r(cos(θ) + sin(θ))). We then rewrite the double integral as two separate integrals: the outer integral with respect to θ and the inner integral with respect to r. The limits of integration for θ are 0 to π/2, while the limits for r are determined by the curve 0 = (2 - 9sin(θ))/(9cos(θ) + 9sin(θ)).

We can simplify this curve to 2cos(θ) - 9sin(θ) = 9, which represents an ellipse in the xy-plane. The limits of r correspond to the radial distance within the ellipse for each value of θ. By evaluating the double integral using these limits, we can determine the result of the given iterated integral.

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Answer:

$4047.75

Step-by-step explanation:

If each helmet costs $89.95 and there are 45 of these helmets, you would multiply $89.95 x 45. Plug this into a calculator and you get $4047.75.

Answer:

567000 dollars

Step-by-step explanation:

Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000

Answer:

  $108.90

Step-by-step explanation:

James pays 75% of the amount, so he pays ...

  0.75 × $145.20 = $108.90

James' total after the discount is $108.90.

Answer:

By the Substitution property, the measure of angle ABC is equal to GHI.

Step-by-step explanation:

According to the Question,

Since we have,

On substituting the value of from equation (1) to equation (2)

We get, ∠ABC = ∠GHI ∴ ∠ABC ≅ ∠GHI

Thus, By the Substitution property  

The measure of angle ABC is equal to angle GHI.

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

Start by multiplying both sides of the inequality by d to get rid of the denominator. B. X > dy - c

To solve the inequality X - c/d > y, we want to isolate the variable X. Start by multiplying both sides of the inequality by d to get rid of the denominator:

\(d(X - c/d) > dy\)

Simplify by distributing the d on the left side:

\(dX - c > dy\)

Now, add c to both sides to isolate the term with X:

\(dX > dy + c\)

Finally, divide both sides of the inequality by d (since d > 0) to solve for X:

\(X > dy + c\)

Therefore, the correct answer is B. X > dy - c.

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Answer:

above sea level

Step-by-step explanation:

Answer:

<PCH+<HCK=180-DEGREE BEING IN A STRAIGHT LINE.

3M+58+8M+155=180

11M=180-213

11M=-33

M=-3

SO,

<PCH

3M+58

=3*(-3)+58

=58-9

=49-DEGREE

Answer:

B

Step-by-step explanation:

the area of a triangle is

\(A=\frac{1}{2}(h)(b)\)

so if we take as

\(from\:(x_1,y_1)\rightarrow(x_2,y_1)\)

so the base is

\(b=x_2-x_1\)

so the height is

\(from\:b\rightarrow(0,0)\)

the distance is

\(h=y_1-0\)

so the area is

\(A=\frac{1}{2}(y_1+0)(x_2-x_1)\\\\=\frac{1}{2}(y_1)(x_2-x_1)\)

so the answer is B

Step-by-step explanation:

4x + 10 = -2 + 4

4x = -2 + 4 - 10

4x = -8

x = -2

\(\huge\text{Hey there!}\)

\(\huge\textbf{Equation:}\)

\(\mathsf{4x + 10 = -2+ 4}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{4x + 10 = 2}\)

\(\huge\textbf{Subtract 10 to both sides:}\)

\(\mathsf{4x + 10 - 10 = 2 - 10}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{4x = 2 - 10}\)

\(\mathsf{4x = -8}\)

\(\huge\textbf{Divide 4 to both sides:}\)

\(\mathsf{\dfrac{4x}{4} = \dfrac{-8}{4}}\)

\(\huge\textbf{Simplify it:}\)

\(\mathsf{x = \dfrac{-8}{4}}\)

\(\mathsf{x = -2}\)

\(\huge\textbf{Therefore, your answer should be:}\)

~\(\frak{Amphitrite1040:)}\)

Step-by-step explanation:

five times nine is forty-five

statement (b) is the correct option that yields 5.

Among the given options, statement (b) yields 5 as the result.

3/6E-1 + 5%5 * 2

First, we evaluate the exponential term, 6E-1, which represents 6 multiplied by 10 raised to the power of -1. This simplifies to 0.6.

Next, we calculate the modulo operation 5%5, which returns the remainder when 5 is divided by 5, resulting in 0.

Now, we have:

3/0.6 + 0 * 2

Simplifying further:

5 + 0

Finally, the result is 5.

Therefore, statement (b) is the correct option that yields 5.

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Answer:

red

Step-by-step explanation:

1 and 21  1 1 1 1 1111111111

= 2 π r

Answer: The formula to find the circumference C of a circle of radius r is C = 2 π r.

In this case, since the eigenvalue λ2 = 4 is positive, the solution decays exponentially towards the origin along the line defined by the eigenvector [1; 1].

To solve the system dx/dt = [6, -2; 20, -6]x with x(0) = [-2; 2], we can find the eigenvalues and eigenvectors of the coefficient matrix [6, -2; 20, -6]. Let's denote the coefficient matrix as A.

The characteristic equation of A is given by det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix. So we have:

|6 - λ, -2|

|20, -6 - λ| = 0

Expanding the determinant, we get:

(6 - λ)(-6 - λ) - (-2)(20) = 0

(λ - 2)(λ - 4) = 0

Solving for λ, we find two eigenvalues: λ1 = 2 and λ2 = 4.

To find the corresponding eigenvectors, we substitute each eigenvalue back into the equation (A - λI)v = 0 and solve for v. Let's find the eigenvectors for each eigenvalue.

For λ1 = 2:

(A - 2I)v1 = 0

|4, -2|v1 = 0

|20, -8|v1 = 0

Simplifying, we get the equation 4v1 - 2v2 = 0, which gives us v1 = v2.

For λ2 = 4:

(A - 4I)v2 = 0

|2, -2|v2 = 0

|20, -10|v2 = 0

Simplifying, we get the equation 2v1 - 2v2 = 0, which gives us v1 = v2.

So, the eigenvectors for both eigenvalues are v = [1; 1].

Now we can express the general solution of the system as:

x(t) = c1 * e^(λ1 * t) * v1 + c2 * e^(λ2 * t) * v2

Substituting the values, we have:

x(t) = c1 * e^(2t) * [1; 1] + c2 * e^(4t) * [1; 1]

Since x(0) = [-2; 2], we can solve for the constants c1 and c2. Plugging t = 0 into the equation, we get:

[-2; 2] = c1 * e^0 * [1; 1] + c2 * e^0 * [1; 1]

[-2; 2] = c1 * [1; 1] + c2 * [1; 1]

[-2; 2] = [c1 + c2; c1 + c2]

From the first component of the vector equation, we have -2 = c1 + c2.

From the second component of the vector equation, we have 2 = c1 + c2.

Solving these equations, we find c1 = 0 and c2 = -2.

Therefore, the particular solution to the system dx/dt = [6, -2; 20, -6]x with x(0) = [-2; 2] is:

x(t) = -2 * e^(4t) * [1; 1]

The trajectory of the solution represents a line in the direction of the eigenvector [1; 1], with exponential growth/decay based on the eigenvalues.

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Answer:

is there more to this question?

Step-by-step explanation:

a. all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C. b. the particular solution is y = x + x = 2x. c. There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(a) To verify that y = x + Cx, x = -C and C = 0 is a general solution, we substitute y = x + Cx into the differential equation:

dxdy = x*(x + Cx) - (x + Cx)^2 = x^2 - C^2x^2

The right-hand side simplifies to (1 - C^2)x^2, which is a function of x only. Therefore, y = x + Cx is a solution for any value of C, including C = 0.

To show that all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C.

(b) To find the particular solution that passes through (1,2), we plug in x = 1 and y = 2 into the general solution:

y = x + Cx

2 = 1 + C*1

C = 1

So the particular solution is y = x + x = 2x.

To find dxdy at (0,0), we take the derivative of y with respect to x:

dxdy = 2

(c) To find the vertical asymptotes, we look for values of x such that the denominator of y' (which is y^2 - x^2) becomes zero. This occurs when y = x or y = -x. Thus, the lines y = x and y = -x are vertical asymptotes.

There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(d) The particular solution that passes through (1,2) is a straight line with slope 2, passing through the point (0,0). To sketch both branches of this curve, we extend the line through the origin in both directions.

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Answer:

The total number of customers for the two days is 16x + 8

Step-by-step explanation:

Number of customers on Monday = 10x - 8

Number of customers on Tuesday = 6x + 16

Total numbers of customers for the two days = 10x - 8 + 6x + 16

Total numbers of customers for the two days = 16x + 8

Answer:

Liability car insurance