(8gh)^2 Simplify the expression.

Answer:

x = 1

Step-by-step explanation:

f(x) = (x - 1)²

f(x) = (x -1)(x - 1)

*Note: to find zeros set your equation equal to zero

x - 1 = 0

x = 1

*Since both quantities are the same x = 1 is your only zero.

The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a 90-degree counterclockwise rotation around point A (Option B) followed by a reflection across the y axis and a translation 20 units down (Option B)

A transformation is a general term which indicates four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. There are 4 types of transformation: translation, rotation, reflection, and enlargement.

Consider the quadrilateral ABCD has vertices with coordinates A(15,10) B(15,20) C(20, 15) and D(20, 5)

When rotating a point 90 degrees counterclockwise about the point, point A remains the same. Hence A(15,10) →A'(15,10);  B(15,20)→B'(5,10); C(20,15)→C'(10,15); D(20,5)→D'(20,15).

A reflection across the y axis is given as  (x,y)→(-x,y). Hence, A'(15,10)→A''(-15,10); B'(5,10)→B''(-5,10); C'(10,15)→C''(-10,15); D'(20,15)→D''(-20,15).

When translation of 20 units down occurs, (x.y) → (x, y-20). Hence, A''(-15,10)→G(-15,-10); B''(-5,10)→H(-5,-10); C''(-10,15)→I(-10,-5); D''(-20,15)→J(-20,-5).

Note: The question is incomplete. The complete question probably is: The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ is a_____ followed by a______. first blank could be A. reflection across the y-axis B. 90-degree counterclockwise rotation around point A C. 90 degree clockwise rotation around point A D.90 degree counterclockwise rotation around point B second blank could be A. clockwise rotation about point B and a translation 20 units down B. reflection across the y axis and a translation 20 units down C. reflection across the x axis and a translation 15 units down D. reflection across the y axis and a translation 25 units down.

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Answer:

Step-by-step explanation:

x=25 degrees.

A vertical angle is two angles formed by intersecting lines, just like the two that form 25 degrees and x degrees. The angles formed by vertical angles are congruent (meaning they are equivalent). So, x=25 degrees.

Answer:

57

not sure abotu the answer

Answer:

x - y = 42

x + y = 112

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

2x = 154, so x = 77 and y = 35

Step-by-step explanation:

lets take the first number as x

if the second digit is 6 more than the first, we should take it as x+6

if they add up to 12,then:

x+x+6 = 12

2x = 12 -6

2x = 6

x = 6/2=3

if the 1st digit is 3, then the 2nd will be 6+3=9

so the 2 digit number is 39

The slope of the secant line between x1 = 1 and x2 = 3 for the given function f(x) = 43x - 1 is 87/2.

y = f(x)

F(x)=43x−1

x1 = 1

x2 = 3

It is given that the slope of the secant line between two points (x1, f(x1)) and (x2, f(x2)) on a curve y=f(x) as:

slope = [fun(x2) - fun(x1)] ÷ (x2 - x1)

Assuming the values x1 = 1, x2 = 3, we can find the slope of the secant line between x1 and x2 as:

slope = fun(x2) - fun(x1)) ÷ (x2 - x1)

slope = (43(3) - 1 - [43(1) - 1]) ÷ (3 - 1)

slope  = (129 - 42) ÷ 2

slope  = 87/ 2

Therefore, we can conclude that the slope of the given secant line between x1 = 1 and x2 = 3 for the function f(x) = 43x - 1 is 87/2.

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If b be a subset of a where |a| = n and |b| = k, then the number of subsets of a whose intersection with b has exactly one element is k × (n-k) C(k-1)

Let's first choose the one element that must be in the intersection of any subset of A with B. Since B has k elements, there are k choices for this element.

Now, we need to choose the remaining (k-1) elements of the subset from A - B, which has n-k elements. There are (n-k) choose (k-1) ways to do this.

Therefore, the total number of subsets of A whose intersection with B has exactly one element is

k × (n-k) choose (k-1)

Alternatively, we can write this as

k × (n-k)C(k-1)

where nCk represents the number of ways to choose k items from a set of size n using combinations.

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Student Reading Art Math Writing

Bill X O X X
Sally O O X O
Bob X X O X
Sue X X X X

Based on the information given, Sally's favorite subject is either art or writing, but since she likes reading better than art, her favorite subject must be writing. Bob's favorite subject is math and Sue doesn't like any of the subjects listed, so we can mark X's for all subjects for her.

Bill's favorite subject cannot be math, so we mark an X for math. BII (assuming this is a typo and should be Bill) prefers writing to art, so we mark an O for writing and an X for art.

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Step-by-step explanation:

The 20° angle is equal to the angle next you friend.

since they are interior alternate angles

The height of the ballon is 600 feet

Let x be the missing distance we are looking for

so the missing distance is 1754 feet

Here I represented the situation to visualize the problem

Let h be L be the length of the ladder

so the ladder is 14 ft

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

0.02 and 2 are rational numbers and √2 and √12 are irrational numbers

As a general rule;

Using the above as a guide,

0.02 and 2 are rational numbers because they can be represented as fractions i.e. 2/100 and 2/1

√2 and √12 are irrational numbers because they cannot be represented as fractions

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\(x\) does have a value less than \(16\). That is the easiest way to explain the following equation, which is \(x < 6\).

Value includes both the emotional as well as material cost of that possession. Just the item's monetary cost is meant by the term "worth." An object's value often remains constant, although it might change based on the person and how much the thing means to them personally.

The worth of all the valuable assets that a person, group of people, business, or nation has is measured as wealth. All liabilities then are taken out of the overall fair value of all held intangible and physical property.

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Answer:

The height of the flagpole is approximately 33.16 ft.

Step-by-step explanation:

Use ratio and proportion

Let h be the height of the flagpole

\(\frac{h}{43ft} =\frac{64 in}{83in}\\ h = \frac{43ft(64in)}{83in} \\h = 33.16ft\)

where? i dont see it sorry

Answer:

8 is the hypotenuse.

sen(angle) = x/8

sen60 = x/8

0.87 = x/8

0.87·8 = x

x = 6.96

Answer:

its just 31^2=25^2 + b^2

Step-by-step explanation:

Answer

what is 2 increased by 5 times a number = 10

Step-by-step explanation:

Answer:

The number:

1: 7

2: 12

3: 17

4: 22

5: 27

6: 32

7: 37

8: 42

9: 47

10: 52

The increase for each number will be 5.

Step-by-step explanation:

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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The probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 8.08%

The CLT states that the distribution of the sample means of a random variable with a finite mean and standard deviation approaches a normal distribution as the sample size increases.

In this case, the population mean is 0.5, and the population standard deviation is 0.7. Since we have a sample size of 50, the standard deviation of the sample means would be

=> 0.7 / √(50) = 0.099.

Next, we need to calculate the z-score, which measures the number of standard deviations from the mean.

In this scenario, we want to find the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6. So, we would plug in x = 0.6, μ = 0.5, σ = 0.7, and n = 50 into the z-score formula. This gives us

=> (0.6 - 0.5) / (0.7 / √(50)) = 1.41.

Using a standard normal distribution table or calculator, we can find that the probability of a z-score of 1.41 or higher is approximately 0.0808. Therefore, the estimated probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6 is 0.0808 or about 8.08%.

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Complete Question:

The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. Each month, an SRS of 50 traps is inspected, the number of moths in each trap is recorded, and the mean number of moths is calculated. Based on years of data, the distribution of moth counts is discrete and strongly skewed, with a mean of 0.5 and a standard deviation of 0.7. Estimate the probability that the mean number of moths in a sample of size 50 is greater than or equal to 0.6.

Answer:

4/5

Step-by-step explanation:

The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.

Answer:

slope = 4/5

Step-by-step explanation:

The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines

y value - y value  over x value - x value  

Points: (-2,0) and (3,4)

4-0 = 4

3-(-2) = 5

4/5

The countably infinite number of guests can be accommodated by moving each current guest to the next room number (i.e., guest in room 1 moves to room 2, guest in room 2 moves to room 3, and so on) and then assigning the newly arrived guests to the vacated rooms (i.e., guest 1 goes to room 1, guest 2 goes to room 2, and so on).

This way, every guest still has a room and no one is evicted.

The solution to this problem relies on the fact that the set of natural numbers (which is countably infinite) can be put into one-to-one correspondence with the set of positive even numbers (also countably infinite).

This means that each current guest can be moved to the next room number without any gaps or overlaps, and the newly arrived guests can be assigned to the vacated rooms in the same manner.

The concept of one-to-one correspondence is fundamental to understanding countability and infinite sets, and it plays a key role in many mathematical proofs and arguments.

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Answer:

1. 324kg

2. 67.5%

Step-by-step explanation:

1.  % increase = 100 + 8 = 108%

\(\frac{108}{100} x 300\)

= 324kg

2. \(\frac{27}{40} x 100\)

= 67.5%

Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.

The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.

In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.

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109.9 ft³

1) Considering that the Volume of a cube is given by:

V =a³

V = 8³

V =512 ft³

2) And the cylinder cut out has the following measures:

radius: 4 ft

height = 8

3) So let's subtract from 512 ft³ the Volume of the Cylinder: 128π

512 -128π = 109.876 and rounding off to the nearest tenth 109.9.

Note that the rounding off is always at the very last moment.

Answer:

left 4 up one because the coordinates are -4 , 1

Answer:

the first one (-4, 1)

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

Sub in 5 for y:

7+5(3+5)

7+5(8)

7+40

47

Answer:

96

Step-by-step explanation:

3 + 5 = 8

7 + 5 = 12

So, 12(8) is the same as 12 x 8.

12 x 8 = 96