What is the value of x? Show your work!
TUV - ABC

Answer: 276

Step-by-step explanation:

multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.

Answer:

X=15

Step-by-step explanation:

Since the angles labeled are vertical, they are congruent. Set them equal to each other and then solve for x.

According to the Central Limit Theorem, a sufficiently large sample size will yield a sample mean equal to the population mean: 37 sutures in this case. The standard error, found by dividing the population standard deviation (8) by the square root of the sample size (32), is approximately 1.41.

The subject of your question is about applying the Central Limit Theorem to the situation of General Surgeon Meredith closing surgical wounds. Given that the average number of sutures Meredith uses is 37, with a standard deviation of 8, we can apply the Central Limit Theorem as we have a sufficiently large sample size of 32.

According to the Central Limit Theorem, for a sample size large enough, the sample mean will be equal to the population mean. Therefore, the mean of the sampling distribution will be 37 (same as the population mean).

To calculate the standard error of the sampling distribution, we need to divide the standard deviation of the population by the square root of the sample size (n). In this case, the standard deviation is 8 and the sample size is 32. Therefore, the standard error (SE) can be calculated as follows: SE = σ/√n = 8/√32 = 8/5.66 = 1.41.

Therefore, the mean of the sampling distribution will be 37 and the standard error will be approximately 1.41.

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to find the opposite of a number, we need to look for its additive inverse, which is the number that, when added to the original number, results in zero. In this case, the opposite of -2 is 2, which is two units to the right of zero on the number line, represented by the letter B.

The opposite of a number is its additive inverse, which is the number that, when added to the original number, results in zero. In this case, we are looking for the opposite of -2 on the number line below. To find the opposite of -2, we need to look for the number that is the same distance from zero as -2, but on the opposite side of the number line.

Looking at the number line, we can see that -2 is two units to the left of zero. Therefore, the number that is two units to the right of zero, or the opposite of -2, is 2. So, the letter that represents the opposite of -2 on the number line below is B.

I understand that you want to find the letter that represents the opposite of -2 on a given number line. Unfortunately, I cannot see the number line you are referring to. However, I can help you identify the opposite of -2 and guide you on how to locate it on a number line.

The opposite of a number, also known as its additive inverse, is the number that, when added to the original number, results in a sum of zero. To find the opposite of -2, you simply change its sign. Since -2 is a negative number, its opposite will be a positive number with the same magnitude:

Opposite of -2 = +2

Now, to find the letter that represents the opposite of -2 on the number line:

1. Locate -2 on the number line, which should be 2 units to the left of zero.
2. The opposite of -2, which is +2, will be 2 units to the right of zero.
3. Identify the letter that corresponds to the point at +2 on the number line.

Once you have followed these steps, the letter you find at +2 will be the one that represents the opposite of -2 on your given number line.

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Answer:

Step-by-step explanation:

(-2x⁴ - 4y³ + 4z³ + 6) - (-9x⁴ - 3y³ + 4z³ + 9)

= -2x⁴ - 4y³ + 4z³ + 6 + 9x⁴ + 3y³ - 4z³ - 9

= -2x⁴ + 9x⁴   - 4y³ + 3y³   + 4z³ - 4z³ + 6 - 9

= 7x⁴ - y³ + 0 - 3

= 7x⁴ - y³ - 3

Answer:

7x^4-y^3-3

Step-by-step explanation:

The simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

The product expression is given as:

(√6x² +4√8x³)(√9x-x√5x^5)

Evaluate the exponents

(√6x² +4√8x³)(√9x-x√5x^5) = (x√6 +8x√2x)(3√x - x^3√5x)

Expand the brackets

(√6x² +4√8x³)(√9x-x√5x^5) = x√6 * 3√x + 8x√2x * 3√x - x√6 * x^3√5x - 8x√2x * x^3√5x

This gives

(√6x² +4√8x³)(√9x-x√5x^5) = 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

Hence, the simplified product of (√6x² +4√8x³)(√9x-x√5x^5) is 3x√6x  + 24x^2√2 - x^4√30x - 8x^5√10

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Answer:

3 squares

Step-by-step explanation:

Firstly, you have to count the number of squares in the shape. As it can been seen from the diagram, there are a total 18 squares (i.e 6 squares on each row × 3 squares on each column).

Secondly you have to find 1/6 of the total number of the squares in the shape. 1/6 of the total number of the square in the shape = 1/6 × 18 = 3 squares

Therefore 3 squares would have to be shaded so that 1/6 of the shape is shaded

Answer:

1

Step-by-step explanation:

1 part

i m sorry my small brother wrote it

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➡2/√3= 8/x

➡x= 8√3/2

➡x= 4√3

➡Hence, required answer is 4√3

Answer:

it will be 7

Step-by-step explanation:

Answer:

n = 7 1/3 weeks

Step-by-step explanation:

Amount Jabari wants to save = $66

Amount he earns per week = $9

Hours worked per week = 2 hours

How many weeks will it take him to save $66?

Let

n = number of weeks will it take him to save $66

66 = 9n

n = 66/9

n = 7 3/9

n = 7 1/3 weeks

Or

n = 7.33 weeks

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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In exercise 66, the slope of the tangent line is -3/√2, and the equation of the tangent line at the parameter value of 4 is y = (-3/√2)x + 12√2.

In exercise 67, the slope of the tangent line is -sin(5), and the equation of the tangent line at the parameter value of 5 is y = -sin(5)x + 8sin(5).

In exercise 68, since r is constant, the slope of the tangent line is 0, and the equation of the tangent line at the parameter value of -1 is y = p.

In exercise 69, since r is constant, the slope of the tangent line is undefined, and the equation of the tangent line at the parameter value of 1 is x = 2.

In exercise 70, the slope of the tangent line is 0, and the equation of the tangent line at the parameter value of 4 is y = 21.

66. The equation is given in polar coordinates as r = 3sin(t) and y = 3cos(t). To find the slope of the tangent line, we differentiate y with respect to x using the chain rule, which gives dy/dx = (dy/dt)/(dx/dt) = (-3sin(t))/(3cos(t)) = -tan(t). At t = 4, the slope is -tan(4). To find the equation of the tangent line, we substitute the slope (-tan(4)) and the point (3cos(4), 3sin(4)) into the point-slope form equation: y - 3sin(4) = -tan(4)(x - 3cos(4)). Simplifying, we get y = (-3/√2)x + 12√2.

67. The equation is given in polar coordinates as r = cos(t) and y = 8sin(1). Differentiating y with respect to x using the chain rule, we get dy/dx = (dy/dt)/(dx/dt) = (8cos(1))/(sin(1)). At t = 5, the slope is (8cos(5))/(sin(5)), which simplifies to -sin(5). The equation of the tangent line can be found by substituting the slope (-sin(5)) and the point (cos(5), 8sin(5)) into the point-slope form equation: y - 8sin(5) = -sin(5)(x - cos(5)). Simplifying, we obtain y = -sin(5)x + 8sin(5).

68. In this case, the radius (r) is constant, which means the curve is a circle. The slope of the tangent line to a circle is always 0, regardless of the parameter value. Therefore, at t = -1, the slope of the tangent line is 0, and the equation of the tangent line is y = p.

69. Similar to exercise 68, the radius (r) is constant, indicating a circle. The slope of the tangent line to a circle is undefined because the line is vertical. Therefore, at t = 1, the slope of the tangent line is undefined, and the equation of the tangent line is x = 2.

70. The equation is given in parametric form as x = v + 1, y = 21, and t = 4. Since y is constant, the slope of the tangent line is 0. The equation of the tangent line is y = 21, as the value of x does not affect it.

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On solving the provided question we can say that  from the provided data in the graph we have, A"B"C" is a reflection then translation of ABC.

Mathematicians use graphs to logically convey facts or values using the a visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

from the provided data in the graph we have,

A"B"C" is a reflection then translation of ABC.

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The angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.

What is trigonometry?
The study of the relationship between the sides and angles of the right-angle triangle is essentially the focus of the field of mathematics known as "trigonometry". Therefore, employing trigonometric formulas, functions, or trigonometric identities can be helpful in determining the missing or unknown angles or sides of a right triangle. Angles in trigonometry can be expressed as either degrees or radians.

Given, the length of the ramp = h = 17 feet
Height at which ramp is placed on truck = p = 4 feet
Let the angle that the ramp makes with the ground = ∅
Taking the length and height of ramp as basis, on assuming a right triangle with the length as hypotenuse and the height as perpendicular, we have:
sin ∅ = Perpendicular/Hypotenuse = h / p = 17/4 = 4.25
⇒ ∅ = sin⁻¹ (4.25) ⇒ ∅ = 10.48°
Thus, the angle that the ramp makes with the ground rounded off to two decimal places is 10.48°.

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The Central Limit Theorem states that when a large enough sample size is taken from a population with any shape of distribution, the sampling distribution of the sample means will approach a normal probability distribution.

The Central Limit Theorem is a fundamental result in statistics that states that when a large enough sample size is taken from a population with any shape of distribution, the sampling distribution of the sample means will approach a normal probability distribution. This means that the mean of the sample means, which is the same as the population mean, will be normally distributed, no matter what the shape of the original population. This allows us to use the normal probability distribution to approximate the sampling distribution of the sample means. Furthermore, the standard deviation of the sample means will be equal to the population standard deviation divided by the square root of the sample size. This allows us to estimate the standard deviation of the sampling distribution of the sample means, which is important for making inferences about the population from the sample. In conclusion, the normal probability distribution can be used to approximate the sampling distribution of the sample means because of the Central Limit Theorem.

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The monthly annuity yield would be $1,962.85. To calculate this, first determine the number of months between age 59 and 70 (which is 132 months).

Then use the present value formula to solve for the monthly payment: $300,000 = PMT x ((1 - (1 + (0.085/12))^(-132))/(0.085/12)). Solving for PMT, you get a monthly payment of $1,962.85, which is the monthly annuity yield.

It's important to note that this calculation assumes that the annuity payments stop at age 70 and that there are no additional fees or taxes associated with the annuity. It's always a good idea to consult with a financial advisor to determine the best retirement strategy for your individual circumstances.

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c and a

by the way, thats easy. NO OFFENCE XD

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support of the premise giving which is leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

An argument is vailed when the premises or conditions of the argument are all true. when some part of the argument is not true then it will lead to invalid conclusion.

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Answer:-6 -2

Step-by-step explanation:

we know that we must add 29.8% more, in decimal form, to the net income in order to get the gross income.

Let's see the facts:

Income = $3,788

Withheld:

6.2% for social security

1.45% for medicare

16% for federal income tax

6.15% for state income tax

Now, with this given data, we can asseverate that the gross income is obtained by multiplying the net income by the sum of percentages as follows:

The sum of contributions: 6.2+1.45+16+6.15 = 29.8 %

So, we know that we must add 29.8% more,in decimal form, to the net income in order to get the gross income.

The gross income is:

Gross income= 3,788x 1.298

[Because 1 represents 100% and 0.298 represents %29.8]

Gross income = $4,916.82

The complete question is-

Cedric's monthly net income is $3,788. The following is withheld from him monthly gross income: 6.2% for social security • 1.45% for Medicare 16% for federal income tax 6.15% for state income tax Determine Cedric's monthly gross income. Round your answer to the nearest cent.

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Answer:

X= -3

Step-by-step explanation:

givi heart :)

Your welcome

Answer: -3

Step-by-step explanation:

-x - 15 - 3x =

 combine like terms and move to the right to get

-15 = 5x

divide by 5 on both sides go get

x = -3

Answer:

UMAMI I think may be the answer to your question

Answer:

x=7 is not linear because its just an equation

The estimate of the standard deviation (Sp) for the total number of errors in assignments from various semesters is approximately 0.044996 and the upper control limit (UC) is approximately 0.374988, and the lower control limit (LCL) is approximately 0.105012 for the p chart.

To compute the estimate of the standard deviation (Sp), we need to determine the proportion of assignments with errors in each semester and calculate the overall proportion of assignments with errors.

Given:

Number of semesters (n) = 5

Total number of assignments per semester (nupper) = 150

Proportion of assignments with errors (p) = 0.24

First, we calculate the proportion of assignments with errors for each semester:

Semester 1: p1 = (150 * 0.24) / 150

= 0.24

Semester 2: p2 = (150 * 0.24) / 150

= 0.24

Semester 3: p3 = (150 * 0.24) / 150

= 0.24

Semester 4: p4 = (150 * 0.24) / 150

= 0.24

Semester 5: p5 = (150 * 0.24) / 150

= 0.24

Next, we calculate the overall proportion of assignments with errors:

p = (p1 + p2 + p3 + p4 + p5) / n

= (0.24 + 0.24 + 0.24 + 0.24 + 0.24) / 5

= 1.2 / 5

= 0.24

Now we can compute the estimate of the standard deviation (Sp):

S = √((n - 1) * (1 - p) / n)

= √((5 - 1) * (1 - 0.24) / 150)

= √(4 * 0.76 / 150)

= √(0.304 / 150)

≈ √0.0020267

≈ 0.044996

Finally, we can compute the upper control limit (UC) and lower control limit (LCL) for the p chart using the formula:

UC = p + (3 * Sp)

LCL = p - (3 * Sp)

UC = 0.24 + (3 * 0.044996)

= 0.24 + 0.134988

≈ 0.374988

LCL = 0.24 - (3 * 0.044996)

= 0.24 - 0.134988

≈ 0.105012

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The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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