Solve for x 5 x − 7 = 19 Give your answer as an improper fraction in its simplest form.

The line that the angle has been reflected across is the line y = x + 1. This line passes through the midpoint of each segment joining a point and its image, and is perpendicular to these segments.

A graph is a mathematical representation of a set of objects, called vertices or nodes, and the connections between them, called edges or arcs. Graphs are commonly used to model relationships between entities in various fields such as computer science, mathematics, physics, social sciences, and many others.

To determine the line that the angle has been reflected across, we need to find the line of reflection, which is the perpendicular bisector of the segment joining each point and its corresponding image.

We can start by finding the midpoint of the segment joining A and A', which is the point that is equidistant from these two points and lies on the line of reflection. The midpoint of AA' is:

Midpoint of AA' = ((x-coordinate of A + x-coordinate of A')/2, (y-coordinate of A + y-coordinate of A')/2)

Midpoint of AA' = ((4 + (-5))/2, (5 + (-4))/2)

Midpoint of AA' = (-1/2, 1/2)

Next, we can find the midpoint of the segment joining B and B':

Midpoint of BB' = ((x-coordinate of B + x-coordinate of B')/2, (y-coordinate of B + y-coordinate of B')/2)

Midpoint of BB' = ((1 + (-2))/2, (2 + (-1))/2)

Midpoint of BB' = (-1/2, 1/2)

We can see that the midpoint of AA' and the midpoint of BB' are the same point, which means that the line joining these midpoints is the perpendicular bisector of both segments, and therefore the line of reflection.

So, the line of reflection is the line passing through the points (-1/2, 1/2) and (-2, -1), which can be found using the slope formula:

slope of line of reflection = (y2 - y1) / (x2 - x1)

slope of line of reflection = (-1 - 1/2) / (-2 - (-1/2))

slope of line of reflection = (-3/2) / (-3/2)

slope of line of reflection = 1

We now have the slope of the line of reflection, and we can find its equation by using the point-slope form:

y - y1 = m(x - x1)

Using the point (-1/2, 1/2) and the slope 1, we get:

y - 1/2 = 1(x + 1/2)

Simplifying, we get:

y = x + 1

Therefore, the line that the angle has been reflected across is the line y = x + 1. This line passes through the midpoint of each segment joining a point and its image, and is perpendicular to these segments.

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Answer: x = 0.375

Step-by-step explanation:

Equation: 8x + 4 = 7

Subtract 4 on both sides

8x = 3

Divide by 8 on both sides

x = 3/8 is 0.375 decimal

x = 0.375 (0.38 round-up)

Answer:

Step-by-step explanation:

Four more than the product of a number and 8 is equal to 7.

4 + 8x = 7

8x = 7 - 4

8x = 3

x = 3/8

---------------------

check

4 + 8 x 3/8 = 7

4 + 3 = 7

7 = 7

the answer is good

The number 72 is the initial height of the ball before being launched into the sky that is option A is correct.

The function h(t) = −16t² + 110t + 72 is about the equation of height of the ball when it is thrown from the ground. The ball will follow a projectile path and then fall on the ground again.

Now the equation is h(t) = −16t² + 110t + 72 where h(t) is height as a function of time and t is time.

If we put t = 0, then

h(0) = -16(0) + 110(0) + 72

h(0) = 72

that is the height at time t = 0 which is the initial height of the ball before it is thrown.

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Complete Question:

The function h(t) = −16t² + 110t + 72 models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

A) The initial height, in feet, of the object

B) The maximum height, in feet, of the object

C) The initial speed, in feet per second, of the object

D) The maximum speed, in feet per second, of the object

Answer:

Volume of a cylinder=1/2πr^2h.

1/2×3.142×10^2×5.

1/2×3.142×100×5.

1/2×1571

=785.5

Answer:

About 1570.8

Step-by-step explanation:

Start by looking at the equation for solving a cylinder, which is V = π x r² x h. Since r = radius (5) and h = height (10), you add those numbers into the equation. Now you have to solve V = π x 5² x 10, which will get you your repeating decimal of 1570.79633...which then can be rounded your answer of 1570.8.

Answer:

girly he probably does and just give subtle signs that you do. if a guy wants to spend more time w u he will try his best to get some time w u if that makes sense.

Step-by-step explanation:

Answer:

Down below

Step-by-step explanation:

inside of a triangle is 180 degrees. first we have to find what the inside of z and y are.

\(z=360-285\\z=75\\y=180-116\\y=64\\\)

then solve for x

\(180=75+64+x\\180=139+x\\180-139=139+x-139\\41=x\)

Answer:-x • (w2 - 12)

 ——————————————

       3w      

a) The sampling proportion's mean value is 0.25. 0.016 is the standard deviation. The form resembles a bell.

b) There is a 10% possibility of getting this number, p=0.27 or more, given a sample proportion, so I wouldn't be surprised.

c) Since there is no chance that the sample fraction of 0.31 will occur, I would be shocked if it did.

Given,

a) The null hypothesis proportion would be the middle of the sampling distribution (p-0.25). So, p=0.25 is the sampling proportion's mean value.

This would be the standard deviation:

σp = √(p (1 - p) / n) = √(0.25 × 0.75/731) = 0.016

The distribution would resemble a binomial distribution, hence the form would be bell-shaped.

b) By calculating the z-value and checking for its probability in the standard normal distribution, we may determine the likelihood of a value p=0.27 in this distribution.

z = (p - π) / σp = (0.27 - 0.25) / 0.016 = 0.02/0.016  = 1.25

p(z > 1.25) = 0.106

There is a 10% probability of achieving this value, p=0.27 or more, for a sample proportion, so I wouldn't be surprised.

c) We repeat the calculation for p=0.31

z = (p - π) / σp = (0.31 - 0.25) / 0.016 = 0.06/0.016  = 5

p(z > 5) = 0.000

I would be astonished to see that value because the probability of this sample fraction occurring at p=0.31 is zero.

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Answer:

Solving literal equations is often useful in real life situations, for example we can solve the formula for distance, d = rt, for r to produce an equation for rate. We will need all the methods from solving multi-step equations. Solving for one variable in a formula.

hope it will help u

Answer:

Solving literal equations is often useful in real life situations, for example we can solve the formula for distance, d = rt, for r to produce an equation for rate. We will need all the methods from solving multi-step equations. Solving for one variable in a formula.

Moreover, how can equations be used in real life?

Mathematical equations are also used in traffic control, aircraft, space program and medicine and so on. So we should always remember that any math equation result has the potential to change the world. That is the reason all mathematical equations are important in our life.

Beside above, what is a literal equation example? A literal equation is one that has several letters or variables. Examples include the area of a circle (left(A=pi {r}^{2} ight)) and the formula for speed (left(v=frac{D}{t} ight)). Solving literal equations is also known as changing the subject of the formula.

Then, what are some real life examples of linear functions?

Originally Answered: Could someone give me an example of a linear functions real life situation? Linear functions happen anytime you have a constant change rate.

Real life examples are:

Why are literal equations important?

Literal equations allow use to represent things like distance, time, interest, and slope as variables in an equation. Using variables instead of words is a real time-saver!

The solution for b is y-mx in the equation y=mx+b.

The given equation is y=mx+b

y equal r=to m times of x plus b

We need to solve for b in the equation

To solve we have to isolate b from the equation

Subtract mx from both sides

y-mx=b

Hence, the solution for b is y-mx in the equation y=mx+b.

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Answer:

I think the answer will be weak positive

The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Check the picture below.

\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)

John is approximately 68.26 km away from his starting point after riding 68 km south and then 6 km west.

To find out how far John is from his starting point after riding 68 km south and then 6 km west, we will use the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we will consider the 68 km south as one side, and the 6 km west as the other side, with the distance from the starting point being the hypotenuse.

Step 1: Square the lengths of the two given sides.
68^2 = 4624
6^2 = 36

Step 2: Add the squared values together.
4624 + 36 = 4660

Step 3: Find the square root of the sum to get the length of the hypotenuse (distance from the starting point).
√4660 ≈ 68.26 km

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The probability of a pregnancy lasting more than 308 days will be 0.0038

What is probability ?

Probability is the branch of mathematics concerning the occurrence of a random event and probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.

Let x be the length of pragnancy,

Then we need to find , P(x>308)

We can use the table of normal distribution so,

P(x>308) = P(x-268/15>2.67)

We know that ,

P(x-268/15 > 2.67) = 1 -  P(x-268/15 < 2.67)

 P(x-268/15 < 2.67) =  0.9962

So,

P(x-268/15 > 2.67) = 1 -  0.9962

P(x-268/15>2.67) = 0.0038

Therefore,

P(x>308) = 0.0038

The probability of a pregnancy lasting more than 308 days will be 0.0038

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The values of a that make det(A) = 0 are 0 and -50.The answer: Values of a: 0, -50

To find all values of a that make det(a) = 0 for the matrix A = [a, 25, a; -8, 4, 0; 0, -7, a], we need to first calculate the determinant of the matrix and then solve for a.

Step 1: Calculate the determinant of matrix A:
det(A) = a*(4*a - 0) - 25*(-8*a - 0) + a*(0 - (-7*0))
det(A) = a*(4a) - 25*(-8a)
det(A) = 4a^2 + 200a

Step 2: Solve for a when det(A) = 0:
0 = 4a^2 + 200a
0 = 4a(a + 50)

Step 3: Solve for a:
Case 1: 4a = 0 => a = 0
Case 2: a + 50 = 0 => a = -50

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The values of a that make det(A) = 0 are 0 and -50.The answer: Values of a: 0, -50

To find all values of a that make det(a) = 0 for the matrix A = [a, 25, a; -8, 4, 0; 0, -7, a], we need to first calculate the determinant of the matrix and then solve for a.

Step 1: Calculate the determinant of matrix A:
det(A) = a*(4*a - 0) - 25*(-8*a - 0) + a*(0 - (-7*0))
det(A) = a*(4a) - 25*(-8a)
det(A) = 4a^2 + 200a

Step 2: Solve for a when det(A) = 0:
0 = 4a^2 + 200a
0 = 4a(a + 50)

Step 3: Solve for a:
Case 1: 4a = 0 => a = 0
Case 2: a + 50 = 0 => a = -50

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Answer:

64 sequences of 4 fish are possible.

A graph of the quadratic function g(x) = 2x² - 4x - 16 which shows a parabola with the vertex (1, -18) is shown in the image attached below.

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

x = a(y - k)² + h or y = a(x - h)² + k.

Where:

A quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).

In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.

In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function g(x) = 2x² - 4x - 16 and we can observe that it shows a parabola.

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The solution to the given LP problem using the simplex method is: x1 = 2, x2 = 0, z = 8

To solve the LP problem using the simplex method, we need to convert the problem into standard form, which involves introducing slack and surplus variables. The problem can be rewritten as follows:

Minimize z = 4x1 - x2

Subject to:

2x1 + x2 + x3 = 8

x2 + x4 = 5

-x1 + 2x2 - x5 = 4

x1, x2, x3, x4, x5 ≥ 0

The initial tableau for the simplex method is as follows:

markdown

Copy code

    | x1 | x2 | x3 | x4 | x5 | RHS |

Cj | 4 | -1 | 0 | 0 | 0 | |

zj | 0 | 0 | 0 | 0 | 0 | 0 |

CB | 0 | 0 | 0 | 0 | 0 | |

cj-zj | -4 | 1 | 0 | 0 | 0 | |

BV | x1 | x2 | x3 | x4 | x5 | |

We apply the simplex method to find the optimal solution. After performing the iterations and calculations, we find that the optimal solution is:

x1 = 2

x2 = 0

z = 8

The tableau after the final iteration is as follows:

markdown

Copy code

    | x1 | x2 | x3 | x4 | x5 | RHS |

Cj | 4 | -1 | 0 | 0 | 0 | |

zj | 8 | 0 | 0 | 0 | 0 | 8 |

CB | x1 | x2 | x4 | x3 | x5 | |

cj-zj | 0 | 0 | 0 | 0 | 0 | |

BV | x1 | x2 | x4 | x3 | x5 | |

By applying the simplex method to the given LP problem, we find that the optimal solution is x1 = 2, x2 = 0, and the objective function value is z = 8. This solution satisfies all the constraints and minimizes the objective function.

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The reasonableness of the estimate depends on the quality and reliability of the data sources and methodology used to arrive at the estimate.

In order to determine whether 12% is a reasonable estimate of the proportion of all Americans who eat chocolate

frequently, we would need to define what is meant by "frequently."

If we define "frequently" as "at least once a week," then 12% may or may not be a reasonable estimate, depending on

the data source and methodology used to arrive at that estimate.

For example, if the estimate is based on a small sample size or a non-representative sample of the population, then it

may not be a reliable estimate of the true proportion of Americans who eat chocolate frequently. Additionally, if the

estimate is several years old, it may not accurately reflect current trends and habits.

On the other hand, if the estimate is based on a large, nationally representative sample of the population, and is

relatively recent, then 12% could be a reasonable estimate of the proportion of Americans who eat chocolate

frequently.

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Answer:

Equation: y=1.5x+4          Will total $10 after 4 hours

Step-by-step explanation:

Format: y=mx+b

y is total cost

m is per hour

b is starting cost

Equation: y=1.5x+4

After 4 hours, it will be $10 because:

10=1.5x+4

subtract 4 both sides

6=1.5x

divide 6 by 1.5

4=x

Hence the 4 hours answer

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

$2940

Step-by-step explanation:

30 percent *4200 =

(30:100)*4200 =

(30*4200):100 =

126000:100 = $1260

4200-1260=$2940

Answer:

option b

Step-by-step explanation:

413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413

I Hope this helps

Answer:

104

Step-by-step explanation:

When a cube and a sphere have the same volume, their surface areas would compare as sphere will have a larger surface area than the cube.

The area or region that an object's surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including sphere, cube, cuboid, cone, cylinder, etc. Each shape has its own volume and surface area.

If a cube and a sphere have the same volume, the sphere will have a larger surface area than the cube. This is because the surface area of a sphere is determined by the radius of the sphere, while the surface area of a cube is determined by the length of its sides. Since the radius of the sphere is greater than the length of the sides of the cube, the surface area of the sphere will be larger.

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The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ

To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.

In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.

The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.

By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.

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Answer:

5/6

Step-by-step explanation:

We can find the fraction by dividing 5 by 6, since there are 5 treats and 6 dogs.

5/6 will be the fraction representing the division