What is the value of the expression 37. (23 + 4) ? 22

In order to prove that the triangles PQR and SRQ are congruent, we can use the following statements and reasons:

1.

Statement: PQ and SR are congruent.

Reason: Given

2.

Statement: ∠PQR is congruent to ∠SQR

Reason: Given

3.

Statement: QR is congruent to QR

Reason: Reflexive property of equality

4.

Statement: Triangle PQR is congruent to triangle SRQ

Reason: SAS Theorem

The difference between the polynomials is −6x⁴y+−2x³y²+9x²y³+−3xy⁴+y⁵.

What is the polynomial?

A polynomial is a mathematical statement made up of indeterminates and coefficients that solely involves the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Here, we have

Given: Polynomial (–2x³y² + 4x²y³ – 3xy⁴) – (6x⁴y – 5x²y³ – y⁵)

We have to find the difference between the given polynomials.

So we evalute the given expression and we get

= (−2x³)(y²)+4x²y³+−3xy⁴+−1(6x⁴y)+−1(−5x²y³)+−1(−y⁵)

= (−2x³)(y²)+4x²y³+−3xy⁴+−6x⁴y+5x²y³+y⁵

= −2x³y²+4x²y³+−3xy⁴+−6x⁴y+5x²y³+y5

= −2x³y²+4x²y³+−3xy⁴+−6x⁴y+5x²y³+y⁵

= (−6x⁴y)+(−2x³y²)+(4x²y³+5x²y³)+(−3xy⁴)+(y⁵)

= −6x⁴y+−2x³y²+9x²y³+−3xy⁴+y⁵

Hence, the difference between the polynomials is −6x⁴y+−2x³y²+9x²y³+−3xy⁴+y⁵.

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Answer:

13 hours to earn the same amount and 14 hours to earn more

Step-by-step explanation:

The product of 8 and any number n decreased by 5 can be expressed as 8n-5 and calculated by multiplying 8 by the number n and then subtracting 5 from the result.

The product of 8 and n decreased by 5 can be expressed as 8n-5. This can be calculated as 8 multiplied by any number n and then subtracting 5 from the result. To illustrate, if n=2, then 8n-5 would be 8 multiplied by 2 (which is 16) and then subtracting 5 from 16 (which is 11). Therefore, the product of 8 and n decreased by 5 is 11. To summarize, 8n-5 is an expression that represents the product of 8 and any number n decreased by 5 and can be calculated by multiplying 8 by the number n and then subtracting 5 from the result.

The product of 8 and any number n decreased by 5 can be expressed as 8n-5 and calculated by multiplying 8 by the number n and then subtracting 5 from the result.

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The null hypothesis is formulated as a statement of equality to represent the assumption of no effect, no difference, or no relationship between variables in hypothesis testing.

The null hypothesis is typically formulated as a statement of equality because it represents the assumption or claim of no effect, no difference, or no relationship between variables in the context of statistical hypothesis testing.

When conducting hypothesis tests, we start with the assumption that there is no significant difference or relationship between variables, and any observed differences or relationships are merely due to random chance or sampling variability. The null hypothesis serves as a benchmark or reference point against which we compare the observed data.

Formulating the null hypothesis as a statement of equality allows for a clear and specific claim to be tested statistically. It sets the baseline or default position that is assumed to be true unless there is sufficient evidence to reject it in favor of an alternative hypothesis.

For example, in a study comparing the mean scores of two groups, the null hypothesis might state that the population means are equal (μ1 = μ2). This implies that any observed difference in sample means is due to chance, rather than a true difference in the population means.

By specifying the null hypothesis as a statement of equality, statistical tests provide a framework to assess the likelihood of observing the obtained data under the assumption of no effect or no difference, allowing us to make inference and draw conclusions about the population parameters based on the evidence from the sample.

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The statement "A histogram with the hills to the far left means the image is overexposed" is not accurate. In fact, a histogram with the hills to the far left indicates that the image is underexposed, not overexposed.

A histogram is a graphical representation of the distribution of pixel values in an image. It displays the frequency of occurrence of different tonal values. The horizontal axis represents the tonal values, while the vertical axis represents the frequency or number of pixels.

When the hills of the histogram are concentrated towards the left side, it means that a significant portion of the image has darker or lower tonal values. This indicates an underexposed image, where the exposure settings were insufficient to capture enough light, resulting in a darker overall appearance.

Conversely, an overexposed image would have the hills of the histogram concentrated towards the right side, indicating that a significant portion of the image has brighter or higher tonal values.

Therefore, the correct interpretation is that a histogram with the hills to the far left means the image is underexposed, not overexposed.

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The maximum and minimum values of the given function will be equal to -1.47 and -6.52.

The 2nd equation in x is known as a quadratic function. ax² + bx + c = 0 is the quadratic equation in standard form, wherein there a and b are the coefficient, x is the constant, and c is the constant.

As per the equation given in the question,

f(x) = x² + 8x + 9.6

D = b² - 4ac

= 8² - 4(1)(9.6)

D = 25.6

Now, find the roots,

-(b ± √D)/2a

-(8 ± 5.05)/2

So, the roots are,

-(8 + 5.05)/2 = -1.47,  (x + 1.47)

-(8 - 5.05)/2 = -6.52,  (x + 6.52)

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Both the independent and dependent variables use nominal scale properties, the most appropriate statistical test would be the Chi-square test.

The Chi-square test is used to analyze the association between two categorical variables and determine if there is a significant relationship or difference between them. It compares the observed frequencies of different categories with the expected frequencies under the assumption of independence. By conducting a Chi-square test, you can assess the independence or association between the two nominal variables and determine if the observed frequencies differ significantly from what would be expected by chance.

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Answer:

It’s A. (5,6,8)

Solution:

Given the equation;

Step 1: Take square root of both sides;

Step 2: Subtract 2 from both sides;

Step 3: Separate the answers;

ANSWER:

What you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

To plot a point (R, θ) on the polar plane. First, if R is positive the angle is measured from the positive x-axis, if R is negative, the angle is measured from the negative x-axis.

Because here R is 4, positive, the point will lie on the x-axis. Then, she needs to move it clockwise by an angle of (3/2)pi (a total of 3 quadrants) This means that the point will end up in the positive y-axis.

So what you need to write in each blank is:

1) positive x-axis.

2) negative x-axis.

3) positive y-axis.

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Given the expression :

The expression will be equal:

so, the answer is option 4)

Answer:

Option 2  \(\frac{4\sqrt{6} }{3}\)

Step-by-step explanation:

\(\frac{4\sqrt{2} }{\sqrt{3} } = \frac{4\sqrt{2} \sqrt{3} }{\sqrt{3}\sqrt{3} } = \frac{4\sqrt{6} }{3}\)

Answer:

19 sorry if I'm wrong :)

(2;-2)

therefore the coordinates of the mi

Step-by-step explanation:

X=(X+X)/2

X=(-1+5)/2

X=2

y=(y+y)/2

y=(1-5)/2

y=-2

therefore the coordinates of the midpoint is (2;-2)

The numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

The inequality expression is given as

-2x - 3 ≤ 11

Add 3 to both sides of the inequality

So, we have:

-2x ≤ 14

Divide through the inequality by -2

So, we have

x ≥ - 7

The above means that all numbers from -7 (inclusive) are in the solution

Hence, the numbers that are solutions to -2x - 3 ≤ 11 are (b) a, c, d and e

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The correct answer is: It would directly affect the y-values. The change of adding seven in the expression f(x) = (x + 7)³ would directly affect the y-values by shifting the function vertically

When the formula y = x³ is changed to f(x) = (x + 7)³ by adding seven to the original expression, it directly affects the y-values. The expression (x + 7)³ means that for each value of x, you add seven to it and then cube the result. This modification shifts the graph of the function vertically upwards by seven units.

The x-values, on the other hand, are not directly affected by this change. The x-values still represent the independent variable, which can take any real number as input to the function. Adding seven to the x-values would result in shifting the entire graph horizontally, not affecting the shape or nature of the function itself.

Therefore, the change of adding seven in the expression f(x) = (x + 7)³ would directly affect the y-values by shifting the function vertically, while the x-values would remain the same in terms of their range and behavior.

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Answer:

the answer is x=7 and -7

Hope this helps!!

Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

The standard error between the sample mean is approximately 0.3412

Step-by-step explanation:

The equation for the standard error of a difference in sample mean of equal sample sizes is given as follows;

\(SE(\overline x_1 - \overline x_2)={\sqrt{\dfrac{s_{1}^{2} }{n_{1}}+\dfrac{s _{2}^{2}}{n_{2}}}}\)

The given parameters are;

The number of sample of southern grass cicadas, n₁ = 20

The mean body length of the southern grass cicadas, \(\overline x _1\) = 16.22 mm

The standard deviation, s₁ = 1.34 mm

The number of sample of citrus cicadas, n₂ = 20

The mean body length of the citrus cicadas, \(\overline x _2\) = 13.41 mm

The standard deviation, s₂ = 0.73 mm

\(SE(16.22 - 13.41)={\sqrt{\dfrac{1.34^{2} }{20}+\dfrac{0.73^{2}}{20}}} \approx 0.3412\)

The standard error between the sample mean, SE ≈ 0.3412

Answer: Domain is \([0,\infty)\) and range is [0,4000].

Step-by-step explanation:

It is given that, the set of ordered pairs (t,d), where

t = the time in seconds after  someone jumps out of a plane at  4000 meters to go skydiving

d = is the displacement above the  ground.

It means t is independent variable and it is represented on the x-axis.

d is dependent variable and it is represented on the y-axis.

We need to find the domain and Range.

Domain is the set of input values.

Here, input is time and time can not be negative.

Domain \(=0\leq t=[0,\infty)\)

Range is the set of output values.

Here, output is displacement above the  ground which can not be negative or more than 4000 meters.

Range \(=0\leq d\leq 4000=[0,4000]\)

Therefore, domain is \([0,\infty)\) and range is [0,4000].

The function on the table is

The function is proportional, because as x increases, the y value change is constant, The common ratio of this function is 1/2

A constant that multiplies or divides each term to create the following term is known as a common ratio in geometric sequences.

Following the table and calculating it using geometric sequence or multiplier, we have that

The terms are: 24, 12, 6, 3

this shows a common ratio of 1/2

24 * 1/2 = 12

12 * 1/2 = 6

6 * 1/2 = 3

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Step-by-step explanation:

Both natural numbers and whole numbers are types of integers, which are numbers that can be expressed without fractions or decimals. However, there are some differences and similarities between these two types of numbers.

Natural numbers are also known as counting numbers and are the set of positive integers that start from 1 and increase without limit. Therefore, the set of natural numbers is {1, 2, 3, 4, 5, ...}. Natural numbers do not include zero or negative numbers.

Whole numbers, on the other hand, include zero and all positive integers. Therefore, the set of whole numbers is {0, 1, 2, 3, 4, 5, ...}. Whole numbers are a superset of natural numbers, which means that the set of natural numbers is a subset of the set of whole numbers.

Some similarities between natural numbers and whole numbers include:

- Both types of numbers are integers and do not involve fractions or decimals.

- Both types of numbers can be used for counting and measuring quantities, such as the number of objects in a set or the length of a line segment.

Some differences between natural numbers and whole numbers include:

- Natural numbers do not include zero or negative numbers, while whole numbers include zero and all positive integers.

- Natural numbers are a subset of whole numbers, while whole numbers are a superset of natural numbers.

- Whole numbers are used more frequently in algebraic operations, while natural numbers are used more frequently in counting and measuring.

In summary, natural numbers are positive integers that start from 1 and increase without limit, while whole numbers include zero and all positive integers. Both types of numbers are integers, but whole numbers are a superset of natural numbers.

Answer:

8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

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Answer:

6,12,18,24,30,36,42,48,54,60,66,72

8,16,24,32,40,48,56,64,72,80,88,96

Step-by-step explanation: hope i helped

The measures of angle <MRS is 78degrees

The line that bisects an angle divides the angle into two equal parts;

From the given diagram, the expression is true;

<MRT + <TRS = <MRS

Given the following parameters

<MRT = 54degrees

Get the measure of <MRS

<MRS = <MRT + <TRS

<MRS = 54 + 24

<MRS = 78dgrees

Hence the measure of angle <MRS is 78degrees

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Answer:

78 degrees

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

First, distribute:

-12x + 28 = 52

Then, subtract 28 on both sides:

-12x = 24

Finally, divide -12 on both sides:

x = -2

Step-by-step explanation:

hope it helps

The order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is: A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

Generally, there are different types of transformation and these include the following:

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In this context, we can reasonably infer and logically deduce that the order of transformation which best describes how to sketch the graph of h(x) = ∛1 - x is to start by plotting the graph of the basic function y = ∛x, and then horizontally shift the graph of function y = ∛x to the left one​ unit, and then reflect the graph about the​ y-axis.

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Complete Question:

Which of the following order of transformations best describes how to sketch the graph of h(x) = ∛1 - x?

A. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ y-axis.

B. Starting with the graph of the basic function y = ∛x, vertically shift the graph up one​ unit, and then reflect the graph about the​ y-axis.

C. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the left one​ unit, and then reflect the graph about the​ x-axis.

D. Starting with the graph of the basic function y = ∛x, horizontally shift the graph to the right one​ unit, and then reflect the graph about the​ y-axis.

Answer: They're equal to each other yes corresponding parts of congruent triangles are equal

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

6(x - 2) = 3 - 9x

We want to find x so that LHS = RHS/

6x - 12 = 3 - 9x

6x + 9x = 3 + 12

15x = 15

x = 1

Not 100% sure!

The value of x that makes the equation true is x = 1.

An expression in mathematics is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that represents a value or quantity.

We can solve for x by simplifying the equation using the distributive property and combining like terms:

6(x - 2) = 3 - 9x

6x - 12 = 3 - 9x (distribute 6)

6x + 9x = 3 + 12 (add 9x and 12 to both sides)

15x = 15 (combine like terms)

x = 1 (divide both sides by 15)

Therefore, the value of x that makes the equation true is x = 1.

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Answer:

2-241x

Step-by-step explanation: