How many solutions does this equation have?

7s − 6 − 5 = 7s + 17

This 9-year-old girl's performance places her at the 70th percentile.

To determine the girl's percentile based on her sit-up performance, you need to consider the percentage of girls her age who can perform fewer or equal sit-ups in one minute.

Since 30% of girls her age can perform more sit-ups,

it means that 70% of girls her age can perform fewer or equal sit-ups in one minute.

Therefore, this 9-year-old girl's performance places her at the 70th percentile.

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The 9-year-old girl's performance in sit-ups is in the 30th percentile.

Based on the information given, you found that a 9-year-old girl can perform more sit-ups in one minute than 30% of the girls her age.

1. Understand the meaning of percentile:

A percentile indicates the relative standing of a data point within a data set, showing the percentage of scores that are equal to or below the data point.

2. Interpret the given information:

In this case, 30% of girls her age can perform fewer sit-ups than she can in one minute.

3. Calculate the percentile:

Since 30% of the girls perform fewer sit-ups than her, this girl's performance is at the 30th percentile. This means that she performs better than or equal to 30% of the girls her age.

In conclusion, this 9-year-old girl's performance in sit-ups places her at the 30th percentile.

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Without using the triangle sum theorem, the proof that shows that m∠G + m∠K + m∠GHK = 180° is proved below.

Based on the triangle angle sum theorem, all the interior angles in a triangle will add up to the sum of 180 degrees.

The complete proof that shows that m∠G + m∠K + m∠GHK = 180 degrees is explained below.

Statement                                    Reason                                          

1. GK║HJ                                     1. Given

2. ∠G ≅ ∠IHJ                              2. Corresponding angles theorem

3. ∠K ≅ ∠JHK                             3. Alternate interior ∠s theorem

4. m∠IHK = m∠IHJ + m∠JHK     4. Additive property of angle measure

5. m∠IHK = m∠G + m∠K            5. Substitution

6. m∠IHK + m∠GHK = 180°        6. Angles forming a linear pair sum of 180°

7. m∠G + m∠K + m∠GHK = 180° 7. Substitution

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The line y = -x, passing through the origin in the xy-plane, forms a 45-degree angle with the positive x-axis.

The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line. In this case, the equation y = -x has a slope of -1. The slope indicates the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.

To determine the angle between the line and the positive x-axis, we need to find the angle that the line's slope makes with the x-axis. Since the slope is -1, the line rises 1 unit for every 1 unit it runs. This means the line forms a 45-degree angle with the x-axis.

The angle can also be determined using trigonometry. The slope of the line (-1) is equal to the tangent of the angle formed with the x-axis. Therefore, we can take the inverse tangent (arctan) of -1 to find the angle. The arctan(-1) is -45 degrees or -π/4 radians. However, since the line is in the positive x-axis direction, the angle is conventionally expressed as 45 degrees or π/4 radians.

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Answer:

ok so that means that the new price is 8/9th of the original one so we divide 224 by 8/9=252

Hope This Helps!!!

Marked down 1/9 means it sold for 8/9 of the original price.

Divide the sale price by 8/9:

224 / 8/9 = 224 x 9/8 = (224 x 9)/8 = 2016/8 = 252

The original price was $252

The probability is 61.75% (or 6175/10000 in fraction form).

Based on Bayes' Theorem, we are able to determine the probability that a randomly chosen applicant has more than 10 years of experience in the field assuming they have a graduate degree.

We know that 127 out of 413 applicants have at least 10 years of experience and 51 out of 127 applicants with over 10 years of expertise also have a graduate degree.

We are given:

P(over 10 years of experience) = 127/413

P(has graduate degree | over 10 years of experience) = 51/127

P(has graduate degree) = 83/413

Plugging in the values, we get:

P(over 10 years of experience | has graduate degree) = (51/127) * (127/413) / (83/413) = 0.6175

Furthermore, 83 out of 413 applicants have a graduate degree. Using these values, we can calculate that the probability is 61.75% (or 6175/10000 in fraction form).

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a. The sum of an odd and an even integer is odd: 3 + 2 = 5

b. The sum of two odd integers is an even integer: 3 + 5 = 8

c. The square of an odd integer is an odd integer: 3² = 9

d. . The product of two odd integers is an odd integer.: 3 x 5 = 15

We have the following information available from the question is:

An odd integer is an integer that can be expressed as 2k+1 , where k is an integer.

An even integer is an integer that can be expressed as 2k , where k is an integer.

Now, According to the question:

To prove the each statement:

a. The sum of an odd and an even integer is odd:

Let the odd integer = 3

Let the even integer = 2

Adding the both odd and even integers.

3 + 2 = 5

5 is an odd integer, proved

b. The sum of two odd integers is an even integer.

Let the first odd integer = 3

Let the second odd integer = 5

3 + 5 = 8

8 is an even integer, proved

c. The square of an odd integer is an odd integer. .

Let the odd integer = 3

3² = 9

9 is an odd integer, proved

d. The product of two odd integers is an odd integer.

Let the first odd integer = 3

Let the second odd integer = 5

3 x 5 = 15

15 is an odd integer, proved

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The given question is incomplete, complete question is:

About Each statement below involves odd and even integers. An odd integer is an integer that can be expressed as 2k+1 , where k is an integer. An even integer is an integer that can be expressed as 2k , where k is an integer. Prove each of the following statements using a direct proof.

a. The sum of an odd and an even integer is odd.

b. The sum of two odd integers is an even integer.

c. The square of an odd integer is an odd integer.

d. The product of two odd integers is an odd integer.

The complete factored form of f(x). f(x) = - 2x^3 + 3x^2 + 39x - 20 is f(x) = -2(x+4)(x-1/2)(x-5).

A quadratic expression written as a constant product of two straight lines is called a factored form. An example of the quadratic form is y = ½(x-6)(x + 2). We can analyze this form and find the vertices to find the x-intercept of the graph.

To write the complete factored form of f(x) using the given zeros, we can use the following expression:
f(x) = -2(x + 4)(2x - 1)(x - 5)
Here, the zeros are -4, 1/2, and 5, and each term represents a factor (x + 4, 2x - 1, x - 5). The -2 at the beginning is to maintain the original leading coefficient of the polynomial.

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The correlation coefficient that best represents a moderate relationship showing fewer anxiety symptoms is a negative correlation coefficient.

In a negative correlation, as one variable increases, the other variable decreases. In the context of anxiety symptoms, a negative correlation would indicate that as one factor (e.g., a particular intervention, treatment, or activity) increases, the number or severity of anxiety symptoms decreases. This suggests a moderate relationship between the two variables, indicating that the higher the value of the independent variable, the lower the value of the dependent variable (in this case, fewer anxiety symptoms).

The correlation coefficient ranges from -1 to 1, with -1 representing a perfect negative correlation, 0 representing no correlation, and 1 representing a perfect positive correlation. A correlation coefficient close to -1, but not reaching -1, would be indicative of a moderate negative correlation and would best represent a moderate relationship showing fewer anxiety symptoms.

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Answer:

1200

Step-by-step explanation:

Answer:

This is put together very weird, can you put the answers more clearly?

Step-by-step explanation:

?

The final coordinates after the transformations will be:

A" is (-1, 5),

B" is (0, 1),

C" is (-3, -1).

Reflect across the y-axis: For any point (x, y), the reflection across the y-axis is (-x, y).

Translation by vector <1, 3>: For any point (x, y), the new coordinates after translation are (x + 1, y + 3).

Let's apply these transformations step by step:

A (2, 2):

Reflect across y-axis: (-2, 2).

Translate by <1, 3>: (-2 + 1, 2 + 3) = (-1, 5).

So, A" is (-1, 5).

B (1, -2):

Reflect across y-axis: (-1, -2).

Translate by <1, 3>: (-1 + 1, -2 + 3) = (0, 1).

So, B" is (0, 1).

C (4, -4):

Reflect across y-axis: (-4, -4).

Translate by <1, 3>: (-4 + 1, -4 + 3) = (-3, -1).

So, C" is (-3, -1).

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Answer:

42/2

Step-by-step explanation:

I am not sure if this is correct but i tried my best and this is what i got

When expressing an exponential function as a recursive function, it is important to remember that any number to the exponent of 0 is equal to 1.

For example, if we have an exponential function represented as y = 2^x, then y is equal to 2 to the power of x. If we want to express this function as a recursive function, we can start by setting the base case as y(0) = 2^0 = 1. Then, for each subsequent value of x, we can use the recursive formula y(x) = y(x-1) * 2 to find the value of y.

For example, to find y(1), we would use the formula y(1) = y(0) * 2 = 1 * 2 = 2. To find y(2), we would use the formula y(2) = y(1) * 2 = 2 * 2 = 4. And so on.

This method of expressing an exponential function as a recursive function can be helpful in certain situations, such as when we want to compute the value of the function quickly using a computer program.

Therefore, any number to the exponent of 0 is equal to 1.

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Answer:

\(x \leqslant - 4\)

Step-by-step explanation:

\( - 3(x + 4) - 2 \geqslant 2x + 6\)

\( - 3x - 12 \geqslant 2x + 6\)

\( - 3x14 \geqslant 2x + 6\)

\( - 3x - 2x \geqslant 6 + 14\)

\( - 5x \geqslant 20\)

\( \frac{ - 5x}{ - 5} \leqslant \frac{20}{ - 5} \)

\(x \leqslant - 4\)

WHEN DIVIDING OR MULTIPLYING BY A NEGATIVE NUMBER, YOU MUST CHANGE THE SIGNS:

\( \leqslant \\ \geqslant \\ > \\ < \)

1st and 2nd pictures are for finding area and 3rd picture is for finding perimeter

hope you understood well and if not and you can ask again

Step-by-step explanation:

The answer will be 9 I hope this help you

Answer:

c

Step-by-step explanation:

Answer:

Technically it is supposed to be 37.7 but in this case, the answer is C: 37.68 cm

Step-by-step explanation:

I am smart...Calibri is the superior font and green is the superior highlight color.

The coordinates of A' and C' will not be the same. The perimeter and area of ΔA'B'C' will be the same. The measure of ∠B' and the slope of A'C' will be the same.

Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.

If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).

As per the given translation,

2 units down and 3 units right

The coordinate will change as,(x,y) → (x+3,y-2) so it will change.

The transformation consists only of linear transformation no rotation exists thus area and perimeter will remain the same.

The slope and angle are unchanged irrespective of any transformation.

Hence "A' and C' will not have the same coordinates. The boundaries and surface area of ΔA'B'C' will be identical. The slope of A'C' and the measure of ∠B will be equal.".

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There are 72 different possible values for the sum \(xyx + yxy\).Since x and y are distinct non-zero digits, there are 9 options for x (1-9) and 8 options for y (excluding the value chosen for x).

To find the number of different values for the sum \(x y x + y x y,\)we need to consider the possible values for x and y.

To calculate the sum\(x y x + y xy\)  , we can break it down into the individual digits:

x, y, and z. For x y x, the hundreds place is x, the tens place is y, and the units place is x.

Similarly, for yxy,

the hundreds place is y, the tens place is x, and the units place is y.

Now let's consider all the possible values of x and y and calculate the sum\(xyx + yxy\) for each combination:

- When x = 1,

there are 8 options for y.

So, there are 8 different sums.
- When x = 2,

there are 8 options for y.

So, there are 8 different sums.
- Similarly, when \(x = 3, 4, 5, 6, 7, 8,\) and 9,

there are 8 different sums for each value of x.

Adding up the different sums for each value of x,

we get a total of:
\(8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 + 8 = 72\)

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The orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

To find the orthogonal complement w⊥ of w, we need to find the set of all vectors that are orthogonal (perpendicular) to w.

Given w = (x, y, z) = (12t, -12t, 6t), we can find a vector v = (a, b, c) that is orthogonal to w by taking their dot product equal to zero:

w · v = 0

Substituting the values of w and v:

(12t, -12t, 6t) · (a, b, c) = 0

(12t)(a) + (-12t)(b) + (6t)(c) = 0

12at - 12bt + 6ct = 0

Now, we can solve this equation to find the values of a, b, and c that satisfy the orthogonal condition for all values of t.

12at - 12bt + 6ct = 0

Factor out t:

t(12a - 12b + 6c) = 0

For this equation to hold true for all values of t, the expression inside the parentheses must equal zero:

12a - 12b + 6c = 0

Divide by 6:

2a - 2b + c = 0

This equation represents a plane in three-dimensional space. To find a basis for w⊥, we can express this equation in the form of a linear combination of vectors. Let's solve for c:

c = 2b - 2a

Now, we can express the basis vectors for w⊥ in terms of a and b:

v = (a, b, 2b - 2a)

We can choose any values for a and b to get different vectors in the orthogonal complement w⊥. For example, we can set a = 1 and b = 0:

v1 = (1, 0, 0)

Or we can set a = 0 and b = 1:

v2 = (0, 1, 2)

These two vectors, v1 and v2, form a basis for w⊥.

Therefore, the orthogonal complement w⊥ of w has a basis given by {v1, v2} = {(1, 0, 0), (0, 1, 2)}.

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The answer to the given question is the angular acceleration of the wheel is 0.7742 rad/s².

We can use the formula for rotational dynamics:

τ = Iα

where τ is the torque applied, I is the moment of inertia, and α is the angular acceleration.

Rearranging this equation, we get:

α = τ / I

Plugging in the given values, we have:

α = 48 Nm / 62 kg⋅m²

Simplifying, we get:

α = 0.7742 rad/s²

Rotational dynamics deals with the motion of objects that are rotating around an axis. The key concept in rotational dynamics is torque, which is a measure of how much a force can cause an object to rotate. The moment of inertia is another important quantity in rotational dynamics, and it describes an object's resistance to rotational motion. The moment of inertia depends on the distribution of mass around the axis of rotation. The angular acceleration of a rotating object is directly proportional to the torque applied and inversely proportional to the moment of inertia. Therefore, a greater torque or a smaller moment of inertia will result in a greater angular acceleration. These concepts are used in a variety of applications, from the motion of planets to the operation of engines and turbines.

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Answer:   5x + 2y = 19

x + 4y = 13

Step-by-step explanation:

let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.

5x + 2y = 19

x + 4y = 13

Answer:

D. The money that Kai started with before he mowed any lawns.

Step-by-step explanation:

We Know

The equation is y = mx + b

The x represents the number of lawns that Kai mows.

What does the y-intercept represent in this equation?

The y-intercept is when the x = 0, meaning the y-intercept is the amount of money he has when mowing 0 lawn. So, the answer is D.

Answer:

The Answer is D

Step-by-step explanation:

The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.

Given information Random sample of 55 second-gradersSample mean score is x=49The standard deviation of test scores is σ = 15The nationwide average score on this test is 50.The school superintendent wants to know whether the second-graders in her school district have weaker math skills than the nationwide average.Level of significance (α) = 0.01Null hypothesis (H0):

The average math score of second-graders in the school district is greater than or equal to the nationwide average math score.Alternative hypothesis (Ha): The average math score of second-graders in the school district is less than the nationwide average math score.The test statistic for the sample mean is given byz = (x - μ) / (σ / √n)Where,x = 49, μ = 50, σ = 15, n = 55z = (49 - 50) / (15 / √55)≈ -1.24 From the z-tables, we find that the area to the left of z = -1.24 is 0.1089. This implies that the p-value = 0.1089 > α = 0.01.Since the p-value is greater than the level of significance, we fail to reject the null hypothesis.

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Answer:

5.428571428571429

Step-by-step explanation: just do 38 divided by 7 on a calculator

The simplified expression for the product \((4x\sqrt{5x^2} )(2x^2\sqrt{6})\) is:

\(8\sqrt{30} x^4\)

The given expression is:

\((4x\sqrt{5x^2} )(2x^2\sqrt{6})\)

Note that :

\(\sqrt{5x^2} = x\sqrt{5}\)

The given expression can then be re-written as:

\((4x^2\sqrt{5} )(2x^2\sqrt{6})\)

Multiplying like terms together:

\(8x^4\sqrt{30}\)

Finally, the resulting expression can be written as:

\(8\sqrt{30} x^4\)

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Answer:

D 104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot

Step-by-step explanation:

Edg 2022

Answer:

-2 -20

Step-by-step explanation:

Answer:

\(Arc \ length = 2\pi r\frac{\theta}{360} =2\pi 5\frac{30}{360} =10\pi \frac{1}{12} =\frac{5}{6} \pi =2.62units\)

Answer:

65

Step-by-step explanation:

I just need 20 words in my answer oh and it's a vertical angle

Use the unit circle.

Looking at the picture, the answer is A. See it?