1. Determine the relationship between the two triangles and whether or not they can be proven to be congruent.​

The graph that represents the piecewise function, h(x) is the second option

Please find attached the graph that represents h(x) created with MS Excel

A piecewise function comprises of two or more functions, which are defined based on specified intervals of the input variable.

The possible piecewise function that is represented by h(x), obtained from a similar question on the site can be presented as follows;

\(h(x) \begin{cases} \frac{1}{4}\cdot x-4, & \text{ } x\leq0 \\\frac{1}{3}\cdot x - 3, & \text{ } 0 < x \leq 3 \\\frac{1}{2}\cdot x-2, & \text{ } x\geq4\end{cases}\)

Therefore, at x ≤ 0, the y-intercept is -4, for h(x) = (1/4)·x - 4, which corresponds to the second graph.

The range for h(x) at 0 < x ≤ 3 is; h(0) = (1/3)×0 - 3 < h(x) ≤ (1/3)×3 - 3, which can be expressed as; (-3, -2], also corresponding to the second graph

The value of x-intercept of h(x) in the interval x ≥ 4 can be found from the equation; h(x) = (1/2)·x - 2 = 0

(1/2)·x = 2

x = 2 × 2 = 4

The x-intercept, (4, 0), corresponds to the second graph, therefore, the graph that represents h(x) is the second graph

Please find attached the graph that represents the piecewise function, h(x), created with MS Excel

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The completed list of numbers would be: 1, 1, 1, 2, 1, 4, 1, 2

By examining the given list of numbers 1, 1, 1, 2, 1, 4, 1, we can observe a pattern emerging.

The pattern seems to involve alternating sequences. The first sequence is the number 1 repeated three times (1, 1, 1). The second sequence is a number that follows the pattern of increasing by 1 each time (2). The third sequence is the number 1 repeated once (1). The fourth sequence is a number that follows the pattern of doubling each time (4). This pattern of alternating sequences continues.

Based on this pattern, we can predict that the next number in the sequence will follow the alternating sequence pattern. Since the last number in the sequence is 1, the next sequence will involve a number that follows the pattern of increasing by 1. Therefore, the next number in the sequence would be:

1 + 1 = 2

Hence, based on the observed pattern, the next number in the sequence is 2.

Therefore, the completed list of numbers would be:

1, 1, 1, 2, 1, 4, 1, 2

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The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

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

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

Substitute the known values in the above equation, so, we have the following representation

Hence, the area is 159.09

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The value of x is 24 and different angles of hexagon will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

An angle is a geometric shape that is defined as the amount of rotation that occurs between two straight lines or planes. Angles are measured in degrees, with 360° representing a full circle.

We need to apply the inverse tangent function to determine the angle at which the sun strikes the flagpole. We are aware that the triangle's adjacent side is 42 feet long and its opposite side is 25 feet tall (the height of the flagpole) (the length of the shadow).

Given the figure is hexagon,

the sum of angles of a hexagon is 720,

Upon adding the given angles,

mA = (7x-8)°

mB (4x+46)°

mC = (5x)

mD = (6x+12)°

mE = (x+7)°

mF = (5x-9)°

⇒ 7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720

⇒ 28x + 48 = 720

⇒ 28x = 672

⇒ x = 24

Therefore, the angles will be -

A = 160

B = 142

C = 120

D = 156

E = 31

F = 111

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Answer:

16.2

Step-by-step explanation:

r = k/x

72 = k/9

k = 72*9

When r = 40 ,

x = k/r

x = 72*9/40 = 16.2

Answer:

\(d=2r\)

Step-by-step explanation:

\(d=2*2\)

\(d=4\)

The third side of the triangle 12.5

A triangle is a polygon with three edges and three vertices. The important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.

we the measurements of given two sides of the triangle 16.5 and 29

In a triangle, the sum of any two sides should be greater than the third side and the difference between any two sides should be lesser than that of the third side.

The sum of two sides rule

\(x + 16.5 > 29\\ x > 29 - 16.5\\ x > 12.5\\\)

The difference between the two sides rule

\(29 - 16.5 < x \\ 12.5 < x\)

Therefore, the value of x is 12.5

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Answer:

the answer is 15$

Step-by-step explanation:

i did 75/5hrs which equal to 15 and if you get 15$ every 5 hrs you will get 75$

Answer:

15

Step-by-step explanation:

Cost over quantity $75 over 5 your going to one so you divide 5 by 5 to get 1 and what ever you do to da bottom u have to do da same to da top so 75 divided by 5 is 15 so 15 is your answer.

Hope dis helps:)

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

200.904

Step-by-step explanation:

200904 is the same as 200904.0

On dividing by 1000, the point moves three steps to the left, 20090.4 , 2009.04 then finally 200.904.

Answer:

40 girls

Step-by-step explanation:

Set up a proportion where x is the number of girls in band class:

\(\frac{3}{5}\) = \(\frac{24}{x}\)

Cross multiply and solve for x:

3x = 120

x = 40

So, there were 40 girls in band class.

Answer: There are 40 girls in band class.

____________________________________________________________

The ratio for this problem is:

\(\frac{3}{5} = \frac{24}{x}\)

To get from 3 to 24, you would multiply by 8. You need to do the same thing to 5 to get x.

5 times 8 equals 40.

There are 40 girls in band class.

The mass of the load in kilogram is an illustration of subtraction operation

The mass of the load in kilogram is (b) 1645 kg

The complete mass is given as:

\(\mathbf{m_t = 2.87\ tonnes}\)

The mass of the lorry is given as:

\(\mathbf{m_l = 1.225\ tonnes}\)

The mass of the load is calculated by subtracting the mass of the lorry from the mass of the lorry and its load.

So, we have the following equation:

\(\mathbf{m_{load} = m_t - m_l}\)

Substitute known values

\(\mathbf{m_{load} = 2.87\ tonnes- 1.225\ tonnes}\)

Subtract

\(\mathbf{m_{load} = 1.645\ tonnes}\)

Convert to kilogram

\(\mathbf{m_{load} = 1.645 \times 1000kg}\)

Multiply

\(\mathbf{m_{load} = 1645 kg}\)

Hence, the mass of the load in kilogram is (b) 1645 kg

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Answer: 35

Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome

Answer:

35

Step-by-step explanation:

got it right

Answer: Part A) 3,141.59 Part B) 75.40

Step-by-step explanation:

Sorry if this is wrong.

Answer:

43

Step-by-step explanation:

at the upper horizontal plane the angles add up to 180 degrees so you add the right angle with the 47 degrees and then you subtract the answer from180 degrees.the value you obtain is oppositely equal to the value of x hence,43

Answer:

Step-by-step explanation:

Answer = 180 - (100 + 55)

Answer = 180 - 155

Answer = 25º

Hope that helps! :)

-Aphrodite

Answer: The measure of the missing angle is 25 degrees

Step-by-step explanation:

A triangle equals 180 degrees so you would add the 100 degrees and 55 degrees and then subtract that from 180. Then you have your answer. :)

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

As in the given scatterplot, there is no clear relationship between the two variables x and y so, we can say that there is no correlation between the two variables.

A Scatterplot is a type of data display showing the relationship between two variables and the pattern shown by the scatterplot is said to be a correlation which may be positive, negative or may have no correlation.

When the y variable tends to increase as the x variable increases, we can say that there is a positive correlation between the two variables.

When the y variable tends to decrease as the x variable decreases, we can say that there is a negative correlation.

When there is no clear relationship between the two variables, then we say that there is no correlation between the two variables.

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The predicates for the given domain are: P(x): x was given the placebo, D(x): x was given the medication, A(x): x had fainting spells, M(x): x had migraines

This question is asking to define and use different predicates in the context of a clinical study. Predicates are statements that can be either true or false for a given domain. In this case, we are given a domain of male patients and asked to define predicates such as P(x) (placebo was given to x), D(x) (medication was given to x), A(x) (x had fainting spells), and M(x) (x had migraines). Using these predicates, we can form quantified logical statements and determine their truth value. For example, the statement "for all x in the domain, if D(x) is true, then M(x) is also true" would mean that if a patient was given medication, then they also had migraines.

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The point (2,-4) satisfies y < 3x - 6

The 95% confidence interval for the poll is given as follows:

(0.3571, 0.4429).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The sample proportion and the estimate for this problem are given as follows:

\(\pi = 0.4, n = 500\)

Then the lower bound of the interval is calculated as follows:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 - 1.96\sqrt{\frac{0.4(0.6)}{500}} = 0.3571\)

The upper bound of the interval is calculated as follows:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4 + 1.96\sqrt{\frac{0.4(0.6)}{500}} = 0.4429\)

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

okay ?

Step-by-step explanation:

you have to say the question

For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)

To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.

A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.

Let's examine the given expression: \(x^64 + ax^b\) + 25

For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.

So we have:\(x^64 + ax^64 + 25\)

Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)

By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)

Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)

From the second equation, we know that k = 25.

Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)

To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.

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Answer:

3.33 pounds

Step-by-step explanation:

Total packages of cat food bought = 4

Weight of each package = 1.25 pounds

Helena opened all 4 packages of cat food and put 2 / 3 of the total amount of food into a container

The expression :

(4) (1.25) (2/3)

represents the weight of the cat food Helena put into the

container

What is the total weight, in pounds, of the cat food that Helena put into the container

The total weight of the food in the container = (4) (1.25) (2/3)

Approximately

= 3.33 pounds

Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

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The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Answer:

A. Confidence interval

B. Hypothesis test

C. Confidence interval

D. Hypothesis test

Step-by-step explanation:

A hypothesis a hypothesis test is done in statistics whereby the person carrying out the test, tests an assumption concerning a population interval.

Confidence interval can be gotten from the statistics of observed data it provides a given range of values for a parameter that is not known.

A.we use the confidence interval here

B. We use the hypothesis test

C. The confidence interval is the appropriate test

D. The hypothesis would be best