Two idewalk in a park are repreented by line on a coordinate grid. Two point on each of the line are hown in the table. Sidewalk 1 x y 0 3 2 7 Sidewalk 2 x y 1 5 3 3 (a) Write the equation for Sidewalk 1 in lope-intercept form. (b) Write the equation for Sidewalk 2 in lope-intercept form. (c) I the ytem of equation conitent independent, coincident, or inconitent? Explain. (d) If the two idewalk interect, what are the coordinate of the point of interection? Ue the ubtitution method and how your work

The second triangle will have the same side lengths and angles as the initial triangle.

The correct option is D.

The reflection of an equilateral triangle relative to the line passing through its side results in a new equilateral triangle that is the same size as the initial triangle. Therefore, the correct answer is D: The second triangle is the same size as the initial triangle.

When a figure is reflected across a line, every point on the figure is flipped to the opposite side of the line, maintaining the same distances and angles. In the case of an equilateral triangle, each side is reflected to the opposite side of the line, resulting in a new equilateral triangle with the same side lengths and angles.

The property of an equilateral triangle is that all three sides are equal in length, and all three angles are equal to 60 degrees. The reflection does not alter these properties. Therefore, the second triangle will have the same side lengths and angles as the initial triangle.

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Answer:

what do you need help with?

Step-by-step explanation:

please tell me what do you need helpwith

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

To solve for x, we can add 7 to both sides of the equation and subtract 4x from both sides:

5x - 7 + 7 = 4x + 3 + 7

5x = 4x + 10

x = 10

2.  6 + 2x = 7x - 9

To solve for x, we can add 9 to both sides of the equation, subtract 6 from both sides and divide both sides by -1:

6 + 2x + 9 = 7x - 9 + 9

2x = -3

x = -3/2

3. 8x + 1 = -8 - x

To solve for x, we can add x to both sides of the equation and add 8 to both sides:

8x + 1 + x = -8 - x + x + 8

9x + 1 = 0

x = -1/9

4. -5 + 12x = 18x + 7

To solve for x, we can subtract 12x from both sides of the equation and add 5 to both sides:

-5 + 12x - 12x = 18x + 7 - 12x

-5 = 6x + 7

x = -6

5.  -4x + 3 = 5x - 13 - x

To solve for x, we can add x to both sides of the equation, subtract 3 from both sides and divide both sides by -1:

-4x + 3 + x = 5x - 13 - x + x + 3

-3x = -10

x = 10/3

The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3

That gives you the letters "joke"

Therefore, The letters corresponding to the solutions are: x = 10, x = -3/2, x = -1/9, x = -6, x = 10/3 That gives you the letters "joke"1.  5x – 7 = 4x + 3.

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Step-by-step explanation:

inversely means

y = k/x

therefore

30 = k/4

120 = k

y = 120/10 = 12

FYI :

directly would mean

y = kx

The value of y will be 12 when x is equal to 10.

The relationship between two variables known as "inverse variation" occurs when the value of one variable increases while the value of the other variable decreases.

Given that, y varies inversely with x.

Here, y∝1/x

y=k/x

xy=k

When x is 4, y is equal to 30, we get

k=4×30

k=120

When x=10, we get

10y=120

y=12

Therefore, the value of y will be 12 when x is equal to 10.

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Answer:

2.08 this is answer

Answer:

D

Step-by-step explanation:

-(-4)=+4

so it is -20+4

Answer:

D) -20 + 4 is the answer.

Step-by-step explanation:

1) Record the terms .

\(4 - 20\)

2) Use this rule: a - b = -(b - a)

\( - (20 - 4)\)

3) Use algorithm method.

(see the attached picture)

4) After simplifying, we have:

\( -(20 - 4) = - 16\)

5) therefor, -20 + 4 = -16

\( - 16\)

The number of the students should be sampled to be within 0.25  alcoholic drinks of population mean with 95% probability is 62.

α is the result of subtracting one from confidence interval as well as dividing by two.

α =  (1 - 0.95) ÷ 2 = 0.25

Find z in the Z-table because z does have a p-value of 1 - α.

As a result, the p-value of z is  (1 - 0.025) = 0.975.

Thus, z  = 1.96

Now find M as;

M = z × (σ ÷ √n)

In which,

When M = 1,

The standard deviation, in accordance with the question, is approximately 1.

σ = 1

M = z × (σ ÷ √n)

0. 25 = 1.96 × (1 ÷ √n)

√n = 1.96 × (1 ÷ √n)

Squaring both sides,

(√n)² = ((1.96 × 1) ÷ 0.25)²

n = (7.84)²

n = 61.4656

n ≈ 62

Thus, the number of the students should be sampled to be within 0. 25 alcoholic drink of population mean with 95% probability is 62.

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Answer:

His answer differ by 675

Step-by-step explanation:

25*36=900

25*63=1575

1575-900=675

Answer:

He will answer as 25*63=1575

An equation describing r as a function of A and π is r = √(A/π).

Mathematically, the area of a circle can be calculated by using this formula:

A = πr²

Where:

In this exercise, you are required to make "r" the subject of the formula in the given mathematical expression by using the following steps.

By dividing both sides of the mathematical expression by π, we have the following:

r² = A/π

By taking the square root, we have:

r = √(A/π)

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Complete Question:

Make r the subject: A = πr²

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Step-by-step explanation:

A o option

-(-45)

hope it helps

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

\(\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}\)

\(\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark\)

\(\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}\)

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

The 25th number in the arithmetic sequence is 197.

The sequence starts with the number 5 and counts by 8s. To find the 25th number in the sequence, we need to find the number that comes after the 24th number.

To do this, we can use the formula for the nth term of an arithmetic sequence, which is given by the formula:

aₙ = a₁ + (n - 1)d

In this case, a₁ is the first term of the sequence (5), n is the number of terms (25), and d is the common difference (8). Plugging these values into the formula, we get:

a₂₅ = 5 + (25 - 1) * 8

Simplifying this expression, we get:

a₂₅ = 5 + 24 * 8
    = 5 + 192
    = 197

Therefore, the 25th number in the sequence is 197.

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Answer:

just plug 4 inside f(x)=3(4)+5

3x+5=38

3x=33

Divid by 3 on both sides

x=11

Step-by-step explanation:

A deficiency in the release of vasopressin (ADH) by the posterior pituitary gland causes diabetes insipidus. Option C

Diabetes insipidus is a condition characterized by the inability of the body to regulate water balance due to a deficiency in the release of vasopressin, also known as antidiuretic hormone (ADH), by the posterior pituitary gland. Vasopressin plays a crucial role in regulating water reabsorption in the kidneys, thereby controlling urine concentration and volume.

When there is a deficiency of vasopressin, the kidneys are unable to properly reabsorb water, leading to excessive urination and increased thirst. This condition is called diabetes insipidus, which is different from diabetes mellitus, a condition related to blood sugar regulation.

Hypoglycemia refers to low blood sugar levels and is not directly associated with a deficiency in vasopressin. Dwarfism, on the other hand, is a condition characterized by stunted growth and is caused by various factors such as genetic mutations or hormonal imbalances, but not specifically by a deficiency in vasopressin.

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Answer:

Angie

Step-by-step explanation:

When it is negative it basically means you owe that amount and Angie owes the most

Answer:

Angie because the bigger a negative number it the less in value it is.

Step-by-step explanation:

Answer:

V varies 1/P.

V=K/P.

K=VP.

K=240×30.

=7200.

Therefore 7200=VP.

so.....

7200=120P.

P=7200/120.

P=60kg/cm^2.

The altitude exists 9.500 centimeters and the area exists 88.000 square centimeters is \($ -\frac{9.26316}{4.75d}\).

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry. The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude exists the point at where the extended base and the height converge.

A triangle's altitude is determined by drawing a perpendicular line from its vertex to its opposite side. The altitude, sometimes referred to as the triangle's height, forms a right-angle triangle with the base.

Let A be the  area of the triangle

h be the altitude

b be the base

The formula that relates the three is the area of a triangle

A = (1/2) bh

Note that anything listed as a "rate" is a derivative value.

dh (rate of change of altitude) = 3.000 cm/min

dA (rate of change of area) = 4 cm²/min

h = 9.500 cm

A = 88.000 cm²

Consider that both b and h are changing in this situation, so we have to treat them both as variables. This means we have to use the product rule, inserting the derivatives where applicable.

dA = (1/2) × db × h + (1/2)b × dh

substitute the values in the above equation, we get

4 = (1/2) × db × 9.5 + (1/2) b × 3.000

88 = (1/2) × b × 9.5

b = 18.52631

Now, looking back at our derivative

4 = (1/2) × db × 9.5 + (1/2) × 18.52631 × 3.000

simplifying the above equation, we get

4 = 4.75 db + 13.26316

b =\($ -\frac{9.26316}{4.75d}\)

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The value of h(-5) for the given function h(x) = −3|x − 1| + 4 is h(-5) = -14.

How to solve function?

h(x) = −3|x − 1| + 4

Substitute x = -5

h(-5) = −3|(-5) − 1| + 4

= -3|-6| + 4

= -18 + 4

= -14

h(-5) = -14

Hence, The value of h(-5) for the given function h(x) = −3|x − 1| + 4 is h(-5) = -14.

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The answer is communitive property.

Answer: 3

Step-by-step explanation: Did it recently.

Thus, even if the expected value of option A is higher than the expected value of option B, EUT cannot account for the preference.

Expected Utility Theory (EUT) asserts that a decision-maker's utility function can be used to predict their preferences between uncertain options.

If a decision-maker has an ordered preference ranking of lotteries, according to EUT, these rankings would correspond to their expected utility rankings.

Nevertheless, some examples demonstrate that EUT may fail to predict preferences. Let's denote a lottery as

(X₁, P₁; X2, P2; ; Xm, Pm),

where Xi and Pi indicate the reward magnitude and probability of each potential outcome.

A decision-maker prefers B ($5000, 1.00) to

A = ($0, 0.01; $25000, 0.04; $5000, 0.95) and prefers

C = ($25000, 0.04; $0, 0.96) to

D = ($5000, 0.05; $0, 0.95).

However, EUT cannot account for these preferences.

The utility of the three alternatives is calculated as follows:

U(B) = $5000

U(C) = 0.04 × $25,000 + 0.96 × $0 = $1,000

U(D) = 0.05 × $5000 + 0.95 × $0 = $250

However, the expected utilities of A and B cannot be compared.

These preferences might instead be clarified using theories like Rank-Dependent Expected Utility Theory.

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a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

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(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

Answer:

the answer is (-4,2)

hope this helps

Answer:

(-2,4)

Step-by-step explanation:

1. Y₁(x) and Y₂(x) are linearly independent solutions to the homogeneous equation.

2. A particular solution of the form y(x) = Y₁(x)u₁(x) + Y₂(x)u₂(x), where Y₁(x) and Y₂(x) are the linearly independent solutions from the homogeneous equation

3. The most general solution to the non-homogeneous differential equation y"" - 8y + 16y = e^(-4x) can be expressed as y(x) = Yh(x) + yp(x)

In this exercise, we are given an initial value problem y"" - 8y + 16y = e^(-4x) / (1 + x^2) with initial conditions y(0) = 8 and y'(0) = -1. We are asked to find the general solution to the related homogeneous differential equation, the particular solution to the non-homogeneous differential equation, and the most general solution to the overall differential equation.

(1) The general solution to the related homogeneous differential equation y"" - 8y' + 16y = 0 can be expressed as Yh(x) = C₁Y₁(x) + C₂Y₂(x), where C₁ and C₂ are arbitrary constants. Here, Y₁(x) and Y₂(x) are linearly independent solutions to the homogeneous equation.

(2) To find the particular solution to the non-homogeneous differential equation y"" + 8y' + 16y = e^(-4x) / (1 + x^2), we use the method of undetermined coefficients. We assume a particular solution of the form y(x) = Y₁(x)u₁(x) + Y₂(x)u₂(x), where Y₁(x) and Y₂(x) are the linearly independent solutions from the homogeneous equation, and u₁(x) and u₂(x) are functions to be determined.

(3) The most general solution to the non-homogeneous differential equation y"" - 8y + 16y = e^(-4x) can be expressed as y(x) = Yh(x) + yp(x), where Yh(x) is the general solution to the related homogeneous equation obtained in (1), and yp(x) is the particular solution obtained in (2).

To obtain the specific forms of Y₁(x), Y₂(x), u₁(x), u₂(x), and yp(x), further calculations and analysis are required, including solving the homogeneous equation and finding the particular solution using undetermined coefficients. These steps are necessary to obtain the complete solution to the given initial value problem.

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Answer:

x=7\(\sqrt{3}\), y=14

Step-by-step explanation:

Since it's a right triangle, and we know the degree is 30, so

7=sin30·y,

y=\(\frac{7}{sin30}\)=14,

\(x^{2}\)+\(7^{2}\)=\(y^{2}\).

x=\(\sqrt{14^{2}-7^{2} }\)=\(\sqrt{147 }\)=7\(\sqrt{3}\)

Answer:

x = 7\(\sqrt{3}\) , y = 14

Step-by-step explanation:

using the tangent and sine ratios in the right triangle and the exact values

tan30° = \(\frac{1}{\sqrt{3} }\) and sin30° = \(\frac{1}{2}\) , then

tan30° = \(\frac{opposite}{adjacent}\) = \(\frac{7}{x}\) = \(\frac{1}{\sqrt{3} }\) ( cross- multiply )

x = 7\(\sqrt{3}\)

and

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{7}{y}\) = \(\frac{1}{2}\) ( cross- multiply )

y = 14

Answer:

36 ft^2

Step-by-step explanation:

I) Find dimensions:

The base is 9 feet, and the height is 4 feet.

(Remember, 6 ft is not the height because that is the height of the parallelogram's parallel sides.)

II) Find area:

Area = base x height

A = B x H

36 = 9 x 4

III) Find unit:

Make sure to add the unit, it is ft^2 or ft² since this figure is three-dimensional and measured in feet.

Answer:

36-12= 24%

Step-by-step explanation:

um i think this is correct if so pls give brainliest :)

Answer:

Increase, 200%

Step-by-step explanation:

The plane curve given by the parametric equation r(t) = t^3i + t^2j, where t is a parameter ranging from 0 to 1, is a smooth curve that starts at the origin and moves upward and to the right. The curve is symmetric about the y-axis and has a cusp at the origin.

To sketch the curve, we can plot a few key points by evaluating r(t) for several values of t. For example, when t = 0, we have r(0) = 0i + 0j, which is the starting point of the curve. When t = 1, we have r(1) = i + j, which is the endpoint of the curve. We can also find the velocity vector by taking the derivative of r(t) with respect to t, which gives us v(t) = 3t^2i + 2tj. This vector gives us information about how the curve is changing at different points.

Using this information, we can sketch the curve as a smooth, upward and rightward sloping curve that starts at the origin and ends at the point (1,1). The curve is symmetric about the y-axis and has a cusp at the origin, where the velocity vector changes direction. The magnitude of the velocity vector increases as t increases, so the curve is becoming steeper and moving faster as it progresses. Overall, the curve is a visually interesting and mathematically significant example of a parametric plane curve.

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