simplify the following expression

Answer:

Probably 4

Step-by-step explanation:

My day was pretty great, so I felt like answering this question to help out in any way possible. I hope to hear about your day, too, soon!

The axis of symmetry of a parabola with vertex (5, -10) is x = 5, which is a vertical line passing through the vertex.

The axis of symmetry of a parabola is a vertical line that passes through its vertex and divides the parabola into two mirror-image halves. In this case, the vertex of the parabola is given as (5, -10), which means the vertex lies on a horizontal line passing through the axis of symmetry.

The equation of the axis of symmetry can be written as x = h, where (h, k) is the vertex of the parabola.

As from the given points h corresponds to value '5'. Therefore, the axis of symmetry for this parabola is x = 5, which is a vertical line passing through the point (5, -10).

To visualize this, you can imagine folding the parabola along its axis of symmetry. The left and right halves of the parabola will overlap perfectly, creating a symmetrical shape.

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The attached image shows the triangle with coordinates A(1,4), B(1,7) and C(3,5) and reflected over the line y = 2x + 1.

Reflection refers to the transformation of a geometric shape by flipping it across a line called the line of reflection.

When a shape undergoes reflection, every point on the shape is mapped to a corresponding point on the opposite side of the line of reflection, maintaining the same distance from the line.

For example, if you have a triangle and reflect it across a line of reflection, the resulting image will be a triangle with the same size and angles, but it will be facing in the opposite direction.

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The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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Answer:

x = 3

Step-by-step explanation:

You can see that 5x - 7 and 2x + 2 are equal to each other due to the arrows pointing to both angles. Therefore allowing you to set up the following equation..

5x - 7 = 2x = 2

Therefore you can then simplify for the value x where you should get teh value 3.

Answer: 50%

Step-by-step explanation:

The error percent of the fish tank is 50%

Error percent:

Error percent means the difference between estimated value and the actual value in comparison to the actual value and is expressed as a percentage. It is also known as the percent error is the relative error multiplied by 100.

The formula to calculate the error percent is

δ = |vA - vE|/vA x 100

δ  = percent error

vA = actual value observed

vE = expected value

Given,

Raul estimated that a fish tank contained 20 gallons of water. He later  found that the fish tank had a 40-gallon capacity.

Here we need to calculate the error percent.

According to the error percent formula,

In this question

The estimated value = 20 gallons

Actual value = 40 gallons.

Now, we have to apply the values on the formula, then we get,

P% = (40 - 20)/40 x 100

P% = 20/40  x 100

P% = 1/2 x 100

P% = 0.5 x 100

P% = 50.

Therefore, the error percent is 50%.

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Answer:

It is 121

Step-by-step explanation:

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

Answer:

i think its a

Step-by-step explanation:

dont get mad at me if its wrong

A function is a relationship between inputs where each input is related to exactly one output.

f(1) = 97

f(2) = 194

f(3) = 291

Where f(x) is the calories burned.

x is the number of miles walked.

Yes, the given relation in the table is a function.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Function:

Miles walk = input

Calories burned = output

We know that,

A function can have many-to-one and one-to-one.

A function can not have one-to-many.

Now,

From the table,

f(1) = 97

f(2) = 194

f(3) = 291

We see that the relation is a function.

The relation is a one-to-one relation.

Thus,

The given relation in the table is a function.

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The number of possibilities are 20,160. Therefore, the option A is the correct answer.

Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 4, then it's factorial would be = 4×3×2×1 = 24.

Factorials is used in mathematics or statistics to denote the possibilities of an event in an outcome.

The number of specialty pizzas that is being offered by pizza parlor = 8

The number of specialty that Almeida's family wants to order = 2

To calculate the number of possibilities;

= 8!/2!

= 8×7×6×5×4×3×2×1/2×1

= 20,160.

Therefore, the option A is the correct answer.

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Answer: $115

Step-by-step explanation:

From the question, we are informed that the expression that represents the total cost for a party with g guests was given as:

= 70 + 5g

Therefore, the total cost for a party

with 9 guests will be:

= 70 + 5g

= 70 + 5(9)

= 70 + 45

= $115

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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The graph could be used to determine minimum and maximum acceptable weights for the containers is graph A.

The force by which any object is attracted towards the Earth's center.

The weight is mass times the acceleration due to gravity.

W = mg

Given is a machine fills containers with 35 ounces of raisins. After the containers are filled, another machine weighs them. If the container's weight differs from the desired weight of 35 ounces by more than two ounces, the container is rejected.

The graph representing the given scenerio is best shown by the graph A.

At the intersection of line, y = 2 and x axis, draw a line perpendicular to it along the positive x axis.

Thus, the graph A is used to determine the minimum and maximum acceptable weights for the containers.

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Remember that

P(A or B)=P(A)+P(B)-P(A and B)

In this problem, we have that

Event A and Event B are not independent

we have

P(A)=0.68

P(B)=0.32

P(A and B)=0.11

substitute

P(A or B)=0.68+0.32-0.11

P(A or B)=0.89

The a = 0.01 critical value for the chi - square statistic with 13 degrees of freedom is given by 27.688.

Hence the correct option is (A).

Here given distribution is Chi - squared distribution.

two parameters of chi - squared distribution are given by ' a ' and ' d ' where d is degree of freedom.

The critical value against chi squared distribution changes according to the change of the values of a and d.

The table chi squared distribution is given by,

Here we have to find the critical value for the chi - squared statistic with 13 degrees of freedom when a = 0.01.

Therefore, a = 0.01 and d = 13

From the given table we can see that when a = 0.01 and d = 13 the critical value is given by 27.688.

Hence the correct option is (A).

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Answer:

3.14)(42)

Step-by-step explanation:

i just did the test

The area of Erin's circle to the nearest hundredth is 50.24 in².

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

3.14 X 4²

(3.14) (4) (4) = 50.24 in²

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Answer:

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

that is a cute thing to be said that you know is the only way you could

∠1 is congruent to ∠3 because they alternate angles.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

From the figure,

∠1 and ∠3 are alternate angles.

∠2 and ∠4 are alternate angles.

∠1 and ∠2 are linear pairs.

∠4 and ∠3 are linear pairs.

Now,

∠1 and ∠3 are alternate angles.

Alternate angles are equal.

Thus,

∠1 and ∠3 are congruent angles.

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Answer:

A

Step-by-step explanation:

edge 2023

Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Options:

Answer:

(C)The graph of f(x) has exactly two x-intercepts.

Step-by-step explanation:

Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.

(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.

(B)A linear function can only intersect the x-axis at exactly one point.

(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.

However:

A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.

The statement which cannot be true is Option C.

Answer:

C

Step-by-step explanation:

yes

The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

Answer:

b

52x + 20 + 52y

Step-by-step explanation:

The total surface area of the cylinder is approximately 748 cm².

Let the height of the cylinder be h and the radius be r. We are given that the volume of the cylinder is 1540 cm³:

V = πr²h = 1540

We are also given that the difference between the height and radius is 3 cm:

h - r = 3

Solving the second equation for h, we get:

h = r + 3

Substituting this expression for h into the first equation, we get:

V = πr²(r + 3) = 1540

Expanding the expression, we get:

πr³ + 3πr² - 1540 = 0

We can solve this cubic equation to find the value of r using numerical methods . The value of r turns out to be approximately 7.32 cm.

Substituting this value of r into the expression for h, we get:

h = r + 3 = 10.32 cm

Now we can use the formula for the total surface area of a cylinder:

A = 2πrh + 2πr²

Substituting the values of r and h, we get:

A = 2π(7.32)(10.32) + 2π(7.32)²

Simplifying the expression, we get:

A ≈ 748 cm²

Therefore, the total surface area of the cylinder is approximately 748 cm².

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Step-by-step explanation:

180-106=74

74/2=37

m<1=37°

m<2=37°

m<3=m<1=37°

m<4=m<2=37°

m<5= 106°

The measures of the numbered angles in rhombus DEFG are as follows:

m∠1 = 74 / 2 = 37°

m∠2 = 37°

m∠3 = 37°

m∠4 = 37°

m∠5 = 106°

Therefore,

m∠5 = 106°

Therefore,

2∠G + 2∠D = 360

2(106) + 2∠D = 360

2∠D = 360 -  212

∠D = 148 / 2

∠D = 74°

∠F = 74°

Recall the diagonal are angle bisectors. Therefore,

m∠1 = 74 / 2 = 37°

m∠2 = 37°

m∠3 = 37°

m∠4 = 37°

m∠5 = 106°

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The number of students in the class is 29.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, A teacher buys a fruit cup for $2.50 and a monthly planner for $9.00 for each student in their classroom. The teacher spends a total of $333.50 for all the fruit cups and monthly planners.

Let the numbers of students be a,

Therefore, total spend on fruit cups for a students = 2.50a

And, total spend on planner for a students = 9a

Therefore, establishing the equations,

2.5a + 9a = 333.5

11.5a = 333.5

a = 29

Hence, there are 29 students in the class.

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After the two reflections, the coordinates are:

k'' = (2, 5)

We start with the point K located at (-2, -5), and first, we apply a reflection over the y-axis.

It will only change the sign of the x-value, then we will get the new point:

k' = (- (-2), -5) = (2, -5)

And now we apply a reflection over the x-axis, this will only change the sign of the y-value,then we will get:

k'' = (2, -(-5)) = (2, 5)

These are the coordinates after the two reflections.

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That's wrong. Bloemfontein and Upington are cities in South Africa that are quite far apart, and the distance between them is much greater than 163.8 km. In reality, the distance from Bloemfontein to Upington is approximately 687 km by road. It's important to ensure the accuracy of information when discussing distances between locations.

The y-coordinate for the solution to the system of equations is -3.

What is a system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations. The intersection of two lines represents the system of equations' solution.

Given system of equations are,

6x + 11y = -3

4x + y = 17

To solve these equations, we must first remove x or y terms.

To do this we must make the removing term's coefficients the same.

In this case, let's remove y.

We are multiplying the second equation by 11. Then,

6x + 11y = -3

44x + 11y = 187

Now we will subtract the second equation from the first.

- 38x  = -190

x = 5

Now to find y, substitute x in any one of the equations.

6 * 5 + 11y = -3

11y = -33

y = -3

Hence the y-coordinate for the solution to the system of equations is -3.

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Answer:

\(x^{4} y^{4}\)

(or)

x^4y^4