Find the value of x.
2x-8
6

The numbers of milligrams of the vitamin that are in a drink is 60 milligrams.

The recommended daily allowance (RDA) for the vitamin is 40 mg. A new health drink has 150% of the RDA.

To find out how many milligrams of the vitamin are in a drink, you can use the following formula:

(RDA) x (percentage/100) = milligrams in a drink

So,

(40mg) x (150/100)

= 60mg

Therefore, there are 60 milligrams of the vitamin in a drink.

Note that the RDA of vitamins can vary depending on age, gender, and other factors, so always consult a doctor or nutritionist before starting to consume any new supplement.

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Nevaeh's score in Exam A of 850, where the mean and standard deviation are 550, and 100, indicates, using the z-score, that in Exam B with a mean and standard deviation of 36 and 10, respectively, her score should be 66.

A z-score is an indication of the number of standard deviations, a data point is from the mean.

The score Nevaeh earned in Exam A, x₁ = 850

The mean score for Exam A, μ₁ = 550

The standard deviation for Exam A, σ₁ = 100

The mean score for Exam B, μ₂ = 36

The standard deviation for Exam B, σ₂ = 10

A quantity that can be used to evaluate Nevaeh's score for Exam A is the z-score, which can be expressed as follows;

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Nevaeh's z-score for Exam A is therefore;

[tex]z = \dfrac{850 - 550}{100} =3[/tex]

Nevaeh's performance on Exam B in order for her to do equivalently well as she did on Exam A is obtained by using a z-score of 3 for her performance in Exam B as follows;

[tex]z = 3 = \dfrac{x_2 - 36}{10}[/tex]

3 × 10 = x₂ - 36

30 = x₂ - 36

x₂ = 30 + 36 = 66

Nevaeh's score on Exam B should be 66 in order for her to perform equivalently well as she did in Exam A

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per year unit rate becomes 6 inches. This can be solved using the concept of unit rate.

A unit rate is a price for one of anything. This is expressed as a proportion with such a base of one. For instance, you would cover 7 yards on average every second if you covered 70 yards in 10 seconds. The ratios of 70 yards in 10 seconds and 7 yards in 1 second are both rates, however, the latter is a unit rate.

A rate is the ratio of two different measurement units, whereas a unit rate seems to be the ratio of two different units of measurement for just a single object.

unit rate for 30 inches per 5 years:

= 30 inches / 5 years

= 6 inches / 1 year

Thus, per year unit rate becomes 6 inches.

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Therefore the slope of the line joining the points (2,2) and (6,8) is equal to 2/3.

What is meant by slope?

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The formula for finding the slope of a line is [tex]m= \frac{X2-X1}{Y2-Y1}[/tex].

Where (X1, Y1) and (X2, Y2) are the points on the line.

The given points are (2,2) and (6,8).

Therefore slope is

[tex]m=\frac{6-2}{8-2} \\m=\frac{4}{6} \\m=\frac{2}{3}[/tex].

The slope is 2/3.

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A triangle has sides of 7, 24, and 25 cm. The length of the hypotenuse is equal to 25 cm if the triangle is a right triangle.

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious.

49, 576, and 625 are the results of squaring the lengths of the side of the.

49 + 576 = 625\s(7)2 + (24)2 = (25)2

As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

the hypotenuse is 25 cm long.

Angles of 16.26 degrees and 73.74 degrees are suitable.

Yes, since 72+242=252 (sum of squares on smaller two sides equals square on largest side).

The triangle's sides are 7 cm, 24 cm, and 25 cm, as is obvious. 49, 576, and 625 are the results of squaring the lengths of the side of the. As a result, the aforementioned equation satisfies Pythagoras's theorem. As a result, it is a right-angled triangle.

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Blank space 1: 3

Blank space 2: 4.242

Blank space 3: 6

Blank space 4: 6

Blank space 5: 3

This can be solved using triangle theorem.

Given that,

Liling is making a quilt. She starts with two small squares of material and cuts them along the diagonal.

The bigger square = 36 sq. in.

Then the side of the bigger square = √36 inch = 6 inch

Next, The side of the bigger square = Diagonal of the smaller square

Let the side of the smaller square = a (let)

Diagonal (smaller square): a√2 = 6 inch

so, a = 3√2 inch

Thus,  a = 3 x 1.414 = 4.242

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The complete question is as follows:

Answer:

12.

V. E=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Step-by-step explanation:

1-a^16=(1-a^8)(1+a^8)

1-a^8=(1-a^4)(1+a^4)

1-a^4=(1-a^2)(1+a^2)

1-a^2=(1-a)(1+a)

1-a^16=(1-a)(1+a)(1+a^2)(1+a^4)(1+a^8)

Answer:

B. 3/4

Step-by-step explanation:

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( -3 , 4 )

Let the second point be Q = Q ( 1 , 7 )

Now , the slope of the line between the two points is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 7 - 4 ) / ( 1 - ( -3 ) )

On simplifying the equation , we get

Slope m = 3 / 4

The workers in shift B earns the bonus.

Mean of a set of data is defined as the average of all the values. It gives the exact middle point of the data set.

Mean is found by adding all the data values and then dividing with number of values in the set.

Shift A: {77, 91, 82, 68, 75, 72, 85, 65, 70, 79, 94, 86}

Number of data in shift A = 12

Mean = (77 + 91 + 82 + 68 + 75 + 72 + 85 + 65 + 70 + 79 + 94 + 86) / 12

         = 944 / 12

         = 78.67

Shift B: {68, 93, 53, 100, 77, 86, 91, 88, 72, 74, 66, 82}

Number of data in shift B = 12

Mean = (68 + 93 + 53 + 100 + 77 + 86 + 91 + 88 + 72 + 74 + 66 + 82) / 12

         = 950 / 12

         = 79.17

The workers in the shift with the highest mean will earn a bonus. It is shift B.

Hence the workers in shift B earn the bonus.

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The full question is as follows :

The following are daily outputs from shift A and shift B at a factory.

Shift A: {77, 91, 82, 68, 75, 72, 85, 65, 70, 79, 94, 86}

Shift B: {68, 93, 53, 100, 77, 86, 91, 88, 72, 74, 66, 82}

Q. Compare the means of the shift outputs. The workers in the shift with the highest mean will earn a bonus. Which shift will earn the bonus?

The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A right triangle with hypotenuse 85 and legs 84 and y. Then by the Pythagoras theorem, the value of the variable 'y' is calculated as,

85² = y² + 84²

Simplify the equation, then we have

85² = y² + 84²

7225 = y² + 2056

y² = 7225 - 2056

y² = 169

y = 13

The value of the other leg of the right triangle will be 13 units. Then the correct option is C.

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The proportion that is solved correct using cross products is given as follows:

4/6 = 12/18 = 4x18 = 6x12

A proportion represents a fraction of a total amount, hence it is written as follows:

p = x/y.

In which the terms are given as follows:

For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.

The proportion in this problem is given as follows:

4/6 = 12/18.

Hence the cross product is applied as follows:

4 x 18 = 6 x 12

72 = 72 (which is a true statement).

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Answer:

Step-by-step explanation:

x ÷ 48 = 4

Multiplying both sides by 48 we get:

x ÷ 48 x 48 = 4 x 48

x =  192

Answer: 80% rent or 72 students

Step-by-step explanation:

20 percent of 90 is 18

So 18 kids own instruments

100-20=80%

So 80% of kids do rent instruments

Or

18x4= 72 kids rent

To do 5 choose 3 on calculator, there are many methods including typing the input the mathematical expansion or in scientific calculators according to the model, there is way to represent 5C3.

The notation 5 choose 3 (also known as "5C3" or "5 comb 3") represents the number of ways to choose 3 items from a set of 5 items, also known as the binomial coefficient. It is equivalent to the formula:

5C3 = (5!) / (3! × (5-3)!)

Where "!" denotes factorial, which is the product of all positive integers up to that number.

To calculate 5C3 on a calculator, you can use the above formula and input it as follows:

5!/(3!×(5-3)!)

Most calculators have a button for factorial (symbolized by "!" or "n!"), so you can use that to calculate the factorials in the formula.

For example, on a basic calculator, you can input the following:

5!/(3!×2!)

and then press enter or the "=" button to get the result which is 10.

On some scientific or graphing calculators the notation is different, it could be represented as "comb(5,3)" or "5C3" and you just need to enter it as such.

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The function increases on [0,∞] and decreases on [-∞,0]. The absolute minimum value of f is 0, and its relative minimum value is the same (0,0).

When x<  0, you can see on the graph that there is a "open circle" at (0, 0).

Thus, due to the graph's indefinitely high y values, there is likewise no absolute maximum value for f.

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The cost of the four points will be $8296.8496

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

$ 128,000 is the amount financed (P).

t = 15 years

The interest rate equals 5.05%.

Amount after 15 years equals,

A = [tex]P(1+\frac{r}{100}[/tex]

=128,000[tex](1+\frac{5.05}{100} )^{15}[/tex]

=268009

Rose and Andrew has taken four points to lower their rate to 4.81% .

A =128,000 [tex](1+\frac{4.81}{100} )^{15}[/tex]

A = 259,713

Cost of four points = 268,009.890 - 259,713.040  = $8296.8496

Hence, the cost of the four points will be $8296.8496

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The inverse of the given function is y = -1/5(x + 1).

The graph the function and its inverse is shown in the image attached below.

In Mathematics, an inverse function simply refers to a type of function that is obtained by reversing the mathematical operation in a given function (f(x)).

In order to determine the inverse of this function f(x) = -1 - 1/5x, we would interchange both the input value (x) and output value (y) as follows:

y = -1 - 1/5x

x = -1 - 1/5y

Adding 1 to both sides of the function, we have:

x + 1 = -1/5y

Multiplying both sides of the function by -1/5, we have:

y = -1/5(x + 1)

Answer:

ye

Step-by-step explanation:

Answer: Yes

Step-by-step explanation:

A perfect square is a number from a number system that can be shown as the square of the number in the given number system. 4 can be written as 2 x 2 Making 4 a perfect square. In other words, if a number can be multiplied by its self and equal the number you are trying to square, then it is a perfect square.

Answer:

The answer to the proportion is 45:25.

Step-by-step explanation:

To solve this proportion, we can use cross multiplication. That is, we can multiply the numerator of the first ratio (45) by the denominator of the second ratio (10) and the numerator of the second ratio (50) by the denominator of the first ratio (?). This will give us

45 x 10 = 500 and 50 x ? = 500.

If we divide both sides of the equation by 50, we get

? = 25.

Therefore, the answer to the proportion is 45:25.

The variable for the equation 2n - 3 =7 is 5.

What is variable ?

A variable is a symbol used to denote a mathematical object in mathematics. Any number, vector, matrix, function, function argument, set, or set element can be represented by a variable.

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

An amount that can fluctuate depending on the mathematical issue is referred to as a variable. The generic letters x, y, and z are frequently employed in mathematical expressions and equations. A variable, then, is a symbol denoting a number whose value is unknown.

Then variable is n

Variable is an alphabet that depend on number.

Then the variable there is n

And the coefficient of the variable is 2

The coefficient is the number behind a variable

And the value of the variable is

2n-3=7

Add 3 to both sides

2n-3+3=7+3

2n=10

Divide both side by 2

2n/2=10/2

n=5

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The average rate of driving from Newyork to Boston is d. 54 mph.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The distance you drive is proportional to the time.

We know, The arithmetic mean or average can be obtained by adding all the given values and then dividing the total sum by the number of values.

Therefore,

The average rate of driving is,

= (216/4) mph.

= 54 mph.

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Constant or Zero polynomial, Linear polynomial, Quadratic polynomial, Cubic polynomial, and Quartic polynomial are the five kinds of polynomials.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

Constant Polynomial Function: P(x) = a = ax.

Zero Polynomial Function: P(x) = 0; where all ai's are zero, i = 0, 1, 2, 3, …, n.

Linear Polynomial Function: P(x) = ax + b.

Quadratic Polynomial Function: P(x) = ax2+bx+c.

Cubic Polynomial Function: ax3+bx2+cx+d.

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Answer:  

-2 in the first box

2 in the second box

In other words, the circumcenter is located at (-2, 2). Do not type in the parenthesis.

======================================================

Explanation:

Points A and C are (2,-3) and (-6,-3) in that order.

Use the midpoint formula to find that M = (-2,-3) is the midpoint of segment AC. It is halfway between these endpoints.

The perpendicular bisector to segment AC is x = -2

The perpendicular bisector goes through the midpoint, and it is perpendicular to segment AC.

-----------------------

Points A and B are (2,-3) and (2,7) respectively.

The midpoint is at N = (2,2)

The perpendicular bisector of segment AB is the equation y = 2.

------------------------

We found the following:

Therefore, the circumcenter is located at (-2, 2) as the circumcenter is located at the intersection of the perpendicular bisectors.

The diagram is shown below. As the diagram shows, the circumcenter marked in red is the center of the circle that goes through points A, B, and C.

Side note: The circumcenter is located on the midpoint of the hypotenuse of any right triangle. See Thales theorem.

The outer perimeter of the figure will be 62.3 ft.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

The figure is shown in figure.

Now, The total outer perimeter is,

⇒ Outer perimeter of triangle = 12.2 ft + 6 ft

                                              = 18.6 ft

And, Outer perimeter of rectangle = 14 ft + 14 ft

                                                     = 28 ft

And, Outer perimeter of semicircle = πr

                                                      = 3.14 × 10 / 2

                                                      = 3.14 × 5 ft

                                                      = 15.70 ft

Thus, The total outer perimeter is = 18.6 ft + 28 ft + 15.70 ft

                                                    = 62.3 ft

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Answer:

33 degrees

Step-by-step explanation:
Angle 1 and 2 add up to a right angle which is 90 degrees. To find 2, subtract 57 from 90

90-57=33

Therefore 33 degrees is the answer

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Answer:

h = 24

Step-by-step explanation:

h ÷ 7.5 = 3.2

Multiply both sides by 7.5

h = 3.2 × 7.5

h = 24

Therefore , the solution of the given problem of long division is Quotient is 131 and the Remainder is 5

Synthetic division is another way to divide a polynomial but by binary x - c, while c is a constant. The divisor frequently assumes the form of (x a). In synthetic division, you are just interested in the coefficients of the polynomials, unlike long division.

Here,

The given Divisor = 6 and Dividend = 791

Step 1: Take the first digit of the dividend from the left. ...

Step 2: Then divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and write the difference below.

long division is a method for dividing large numbers into steps or parts, breaking the division problem into a sequence of easier steps. It is the most common method used to solve problems based on division.

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Corresponding angle pairs - (1,5) , (2,6) , (3,7) and (4,8)

Answer:

53

Step-by-step explanation:

Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility test for three.

The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.

add all number

9+9+0 = 18

and 18/3 = 6

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On solving the provided question, we can say that in this triangle 2x-6 = 3 => 2x = 9 => x = 9/2 and 2z = 4 => z = 2

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here,

in this triangle

2x-6 = 3

2x = 9

x = 9/2

2z = 4

z = 2

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