What’s the value of x ?

The transformations that could be used to show that Henry's claim is incorrect are:

Horizontal stretch by a factor of 1/3.

Dilation by a factor of 2 units through origin.

Given that a a square is plotted on a coordinate plane.

Henry claims that any transformation on the square will preserve the length of its sides.

We need to check which claims is incorrect.

We must find transformations that do not maintain the length of the square's sides in order to refute Henry's assertion.

Analyzing each transformation now:

a) A translation of 5 units to the right:

The square's shape is unaltered by this transformation. The length of the sides does not change, but the square is merely moved 5 units to the right. The sides' length is preserved by this modification.

b) A horizontal stretch of the square by a factor of 1/3:

This change enlarges the square horizontally. The lengths of the original square's sides will not be kept because they will be multiplied by a factor of three-quarters. The sides' length is not preserved in this change.

c) Two-unit dilation through the origin:

This transformation uniformly scales the square by a factor of two. The lengths of the sides will alter as a result of multiplying all of them by 2. The sides' length is not preserved in this change.

d) Rotation of the square 45 degrees clockwise about its center:

This transformation spins the square, but the side lengths stay the same. The length of the sides are preserved by this translation because the rotation does not change the square's dimensions.

Therefore, the following transformations could be used to refute Henry's assertion:

b) Horizontal stretch by a factor of 1/3.

c) Dilation by a factor of 2 units through the origin.

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Work Shown:

LCM = (product of two numbers)/(HCF of the two numbers)

LCM = 1536/16

LCM = 96

Answer:

The answer is 25

Step-by-step explanation:

Answer: 125.6 ml

Step-by-step explanation:

V = (3.14) (2^2) (10)

V = (3.14) (4)(10)

V= 125.6 cm^3

1 cubic centimeter = 1 milliliter

The inequality tha calculates the possible values of x is x < 2

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

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

18 beac sasdsasd

Step-by-step explanation:

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

The sequence of transformations prove the objects are congruent is

In mathematics, a reflection is a transformation that flips a shape over a line, called the line of reflection or axis of reflection. The reflection preserves the size and shape of the object but changes the orientation or direction in which it is facing.

The line of reflection is the perpendicular bisector of each line segment connecting a point and its image.

The image of object 1 when reflected over the x axis produces the mirror image below the first then translation of -13 units along the x direction merges it to the position of object 2

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Answer:

Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.

Step-by-step explanation:

Answer:

D. 8,000 meters per hour

The statements that are true about the area of the figure is that the area can be found by multiplying 3 by 2 1/2 and adding the product of 1/2 and 1/2 .

Recall that In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle

Also, the area of a rectangle can be found by multiplying the length of the rectangle by its width and using the formula, where is the base and is the height of the triangle.

Area of the rectangle - LB

Area = (1/2 * 1/2) + (7/2*7/2)

Area = 1/4 + 35/4

Simplifying the fraction to get

36/4

Area of the figure is 9 square units

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Answer:

114.4

Step-by-step explanation:

the answer is originally 114.38, but rounding it off makes it 114.4

Answer:

114.38 Is Your Answer

Answer:Distributive property

Step-by-step explanation:

6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.

The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:

a x (b + c) = (a x b) + (a x c)

In the given equation, we have:

6 x (22 + 9) = 6 x 22 + 6 x 9

By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:

6 x 22 + 6 x 9

This simplifies to:

132 + 54

Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.

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Using geometry, we can find that the length of the line segment AC as per the distance between two points is= 18 ft.

What are line segments?

In geometry, a line segment's borders are determined by two distinct points on the line. Any portion of a line that connects two places is referred to as a line segment.

A segment has an endpoint, whereas a line doesn't.

What are some examples of line segments in the real world?

a scale, a ruler, a stick, and a boundary line.

Thus, the length of the line segment AC is = 18ft.

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The ranking from the lowest to highest APR for the given companies is A, B, D, C.

The correct option is b.

To rank the companies from the lowest to highest Annual Percentage Rate (APR) based on a $600 loan amount, we need to calculate the APR for each company. The formula to calculate APR is APR = (Fees / Loan Amount) * (365 / Terms of Loan).

Let's calculate the APR for each company:

For Company A:

APR_A = ($60 / $600) x (365 / 18) = 0.1 x 20.28 = 2.028%

For Company B:

APR_B = ($80 / $600) x (365 / 12) = 0.1333 x 30.42 = 4.054%

For Company C:

APR_C = ($90 / $600) x (365 / 10) = 0.15 x 36.5 = 5.475%

For Company D:

APR_D = ($110 / $600) x (365 / 14) = 0.1833 x 26.07 = 4.79%

Now, we can rank the companies from the lowest to highest APR:

Company A - APR: 2.028%

Company B - APR: 4.054%

Company D - APR: 4.79%

Company C - APR: 5.475%

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Answer:

0.1575.

Step-by-step explanation:

Here, as they are independent, we multiply the probabilities:

P( A and B) = 0.35*0.45

= 0.1575.

The probability that both events will occur simultaneously is 0.1575.

Given that, the events A and B are independent with P( A) = 0.35 and P( B) = 0.45.

Two events are independent if the occurrence of one event does not affect the chances of the occurrence of the other event. The mathematical formulation of the independence of events A and B is the probability of the occurrence of both A and B being equal to the product of the probabilities of A and B (i.e., P(A and B).

Since, the events A and B are independent

We have P(A and B)

= P(A) × P(B)

= 0.35 × 0.45

= 0.1575

Hence, the probability that both events will occur simultaneously is 0.1575.

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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The centre coordinates would be the opposite value of what is in the brackets

For example, the x value in the brackets is -3, the centre coordinate x value would be positive 3

The same would apply to the y value

The radius would be the square root of 36

Thus, your answer would be option A

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Answer:

A: 1 solution: the lines intersect at one point

B: (3,4), reference graph for solution

Step-by-step explanation:

A: solutions are equivalent to how many intersections two lines have, and we can see that these lines intersect once and won't intersect again

B: luckily the intersection point is super easy to plot, so we can just reference the graph for our solution!

Since there is a fixed number of trials and the trials are independent, it is appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game that day several times wins exactly 4 times.

The formula is:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

Thus, the binomial distribution is appropriate.

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Answer:

C Is The Correct Answer

Answer:

hw do you expect anyone to do that

Step-by-step explanation:

Answer:

uh

Step-by-step explanation:

the answer is g(x)= (x+6).

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

from the given , we get,

f(x)=x^4

and, f(g(x))= (x+6)^4

hence, the answer is g(x)= (x+6).

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You have the following function f(x):

f(x) = 4.93/x - 3.35

To calculate f(2.9) you replace x bu 2.9 in the previous function, and proceed with the calculations:

f(2.9) = 4.93/2.29 - 3.35

f(2.9) = 2.15 - 3.35 = -1.2

Then, the answer is f(2.9) = -1.2