Solve for X, Leave in simplest radical

The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.

The equivalent is the expression that is in different forms but is equal to the same value.

The statement is given below.

“Eleven from a number”

Convert the statement into a mathematical form. Let the number be 'x'. Then we have

⇒ x - 11

The expression is equivalent to the expression (x - 11) will be the difference between a number and 11 and 11 subtracted from a number. Then the correct options are B and D.

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Answer:

To find the solution to the system of equations, we need to find the values of x and y that make both equations true at the same time.

The pairs of points you provided are coordinates (x,y) which we can use to find the solution.

For the pair of points (1.8, 11.4) and (-2.8, -2.4)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(1.8) = 31.8 + 6 = 7.4

g(1.8) = 1.8^2 + 41.8 + 1 = 11.16

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (0,6) and (0, 1)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(0) = 30 + 6 = 6

g(0) = 0^2 + 40 + 1 = 1

As we can see both equations are true at the same time, this is the solution of the system of equations.

For the pair of points (-3.7,0) and (-0.27,0)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(-3.7) = 3*(-3.7) + 6 = -7.1

g(-3.7) = (-3.7)^2 + 4*(-3.7) + 1 = 13.69

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (2.8, 5.1) and (3.6, 1.2)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(2.8) = 32.8 + 6 = 11.4

g(2.8) = 2.8^2 + 42.8 + 1 = 21.96

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

So the solution of the system of equations is (0,6) and (0, 1)

Answer:

53000 and 42400

Step-by-step explanation:

100*530and 80*530

Answer:

Here is a picture of it graphed

Step-by-step explanation:

The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B".

To determine the student's letter grade, you need to calculate the overall percentage of the total points possible.

A percentage is a way of expressing a number as a fraction of 100. It is often used to express a proportion or a rate, and is typically denoted by the symbol "%". To convert a number to a percentage, you multiply it by 100 and add the "%" symbol.

The first exam is out of 100 points, so the student scored 89/100 or 0.89 * 100 = 89%.

The second exam is out of 100 points, so the student scored 81/100 or 0.81 * 100 = 81%.

The final exam is out of 200 points, so the student scored 160/200 or 0.8 * 100 = 80%.

To find the overall percentage of the total points possible, you need to add the percentage scores from each exam and divide by the number of exams.

(89 + 81 + 80) / 3 = 84

Therefore,The student receives 84% overall which is between 80-90% and they will receive a letter grade of "B"

It's important to note that each institution may have different grading scales and different criteria for assigning letter grades.

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The perimeter of the square is 4*12 inches = 48 inches

To solve for the perimeter of the square inscribed in the circle, we first need to determine the side length of the square. Since the square is inscribed in the circle, the diameter of the circle is equal to the side length of the square.

Given that the radius of the circle is 6*√2 inches, we can find the diameter of the circle by multiplying the radius by 2:

Diameter = 2 * (6√2) inches

Diameter = 12√2 inches

Now that we know the diameter of the circle is equal to the side length of the square, we can find the perimeter of the square by multiplying the side length by 4:

Perimeter = 4 * (12√2) inches

Perimeter = 48√2[tex]\sqrt{2}[/tex][tex]\sqrt{2}[/tex] inches

so the perimeter of the square is 48*√2 inches.

As we know that the square is inscribed in the circle, the diameter of the circle is equal to the diagonal of the square, so the side length of the square is equal to the diameter of the circle divided by sqrt(2) .

Side length = 12*√2 inches /√2

Side length = 12 inches

so, the perimeter of the square is 4*12 inches = 48 inches

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Answer:

4.5

Step-by-step explanation:

one decameter is equal to 1000 centimeters 4500/100= 4.5

Answer:

Step-by-step explanation:

I guess 6%?

Integral(upper=a, lower=0) Integral(upper=0, lower=a) r2sinθ dr dθ (1/3)a3sinθ

We can evaluate this iterated integral by converting it to polar coordinates.

The first integral has an upper bound of a and a lower bound of 0. This corresponds to the radial coordinate of r, which has a lower bound of 0 and an upper bound of a. The second integral has an upper bound of 0 and a lower bound of -√(a2-y2). This corresponds to the angular coordinate of θ, which has a lower bound of -π/2 and an upper bound of π/2.

Therefore, the integral in polar coordinates is:

Integral(upper=a, lower=0) Integral(upper=0, lower=a) r2sinθ dr dθ

We can then evaluate this integral by using the formula for the area of a sector:

Area = (1/2)r2θ

Substituting in the upper and lower bounds of the integrals, we get:

(1/2)(a2)(π/2) = (1/3)a3sinθ

Therefore, the answer is (1/3)a3sinθ.

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On solving the provided question, we can say that here, inequality value will be x = 1 and y = 1.

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here,

in this inequality equation

y > 4x - 2

y > -3x - 5

as,

4x-2 > 3x-3

1x > 1

x=1

x=1; y=1

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a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

Lower bound: a number that is less than or equal to all of the elements in a data collection. Upper bound: a number larger than or equal to every element in a data collection.

A)1600×40%=640

Because of the onion in the

(0- 640)Kg

The upper bound for the mass of

Onion sold is 640 kg

B)The lower bound is the minimum quantity  for sale

The lower limit is the least amount that, when rounded up, equals the estimated value. The upper bound is the minimum possible value that would be rounded up to the next estimated value. A mass of 70 kg, for example, rounded to the closest 10 kg, has a lower bound of 65 kg since 65 kg is the lowest mass that rounds to 70 kg.

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Hope it helps.

If you have any query, feel free to ask.

Answer:

Step-by-step explanation:

a) The function to represent the scenario is f(x) = 56 - 8x, where x is the number of sips Anna takes.

b) Anna can take 7 sips before she needs to refill.

c)

The graph of the function is given below:

\begin{center}

\begin{tikzpicture}

\begin{axis}[

   axis lines = left,

   xlabel = $x$,

   ylabel = {$f(x)$},

   ymin = 0,

   ymax = 56,

   xtick = {0,1,2,3,4,5,6,7},

   ytick = {0,8,16,24,32,40,48,56}

]

\addplot[

   domain=0:7,

   samples=2,

   color=black,

]

{56 - 8*x};

\end{axis}

\end{tikzpicture}

\end{center}

d) The domain of the function in set notation is {0,1,2,3,4,5,6,7}.

Answer: height is 5

Step-by-step explanation:

Area of the parallelogram is altitude x height. You divide area (35) by altitude (7) to get 5

The probability game is solvable, and Player 1 has a strictly dominant strategy of Left (L), while Player 2 has four strictly dominated strategies. The surviving outcomes are (L, U), (L, M), (L, D), and (L, R).

This normal-form game is solvable, with Player 1 having a strictly dominant strategy of Left (L). Player 1's left strategy is strictly dominant because it will always yield a higher payoff than any other strategy for Player 1, regardless of what Player 2 does. Player 2, on the other hand, has four strictly dominated strategies: Up (U), Middle (M), Down (D), and Right (R). These strategies are strictly dominated because they will always yield a lower payoff than any other strategy for Player 2, regardless of what Player 1 does. The set of outcomes that survive the process of iterative elimination of strictly dominated strategies is (L, U), (L, M), (L, D), and (L, R). In other words, Player 1 will always choose left, and Player 2 will choose either Up, Middle, Down, or Right.

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The mean is 4.8, and the standard deviation is 4.2 if 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

Let's suppose the x is the number of households to get the first that uses a clothesline

And p is the probability of a household using the clothesline

X ~ Geo (p = 0.21)

Mean = 1/p

Mean = 4.76 ≈ 4.8

Variance = q/p²

q = 1 - p

Variance = 17.9138

Standard deviation = √Variance

Standard deviation = 4.23 ≈ 4.2

Thus, the mean is 4.8, and the standard deviation is 4.2 if 21% of households use a clothesline to dry their laundry. Capuchin would like to survey households that use a clothesline.

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Answer:

4

Step-by-step explanation:

24*1/6=4

Answer:

Your answer is 4

24/6

6×4=24

Answer:

$127.47

Step-by-step explanation:

124.95 x .02 = 2.499 Which rounds to 2.50

124.95 + 2.50 = 127.47

You change a percent to a decimal by dividing by 100%

The outcome of the integral, in accordance with the stated statement, is (ln x)^31/31 + c.

Integration is the process's polar opposite of differentiation. The integration process involves determining a function's anti derivative. Integration is the process of combining smaller, discrete data sets that cannot be represented in a numerical value and cannot be contributed individually. Calculus (Unification) is used in electrical engineering to calculate the precise length of power line needed to connect two transmission system that are miles apart from one another.

For the predicament,

[tex]\Rightarrow \int \frac{(\ln x)^{30}}{x} d x[/tex]

Consider y = lnx, differentiate with respect to x

dy = 1/xdx

Substitute these values on the integral,

[tex]\begin{aligned}& \Rightarrow \int y^{30} d y \\& \Rightarrow \frac{y^{31}}{31}+c \\& \Rightarrow \frac{(\ln x)^{31}}{31}+c\end{aligned}[/tex]

Therefore, we may say that the integral's value is (ln x)^31/31 + C.

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After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times

1. To calculate the number of members after one year, multiply the initial number of members (101010) by the factor of 1.21.21:

101010 x 1.21.21 = 12312

2. To calculate the number of members after two years, multiply the initial number of members (101010) by the factor of 1.21.21 twice:

101010 x 1.21.21 x 1.21.21 = 149149

3. To calculate the number of members after three years, multiply the initial number of members (101010) by the factor of 1.21.21 three times:

101010 x 1.21.21 x 1.21.21 x 1.21.21 = 180180

After one year, the club had approximately 123123 members. After two years, the club had approximately 149149 members. After three years, the club had approximately 180180 members.

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Answer:

Step-by-step explanation:

You will need to utilise algebraic expressions to create an equation to show Lori's age in relation to Shawn.

The procedure will be completely described in the sections that follow with step-by-step instructions .

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[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{5}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{0}}} \implies \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ \cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{0})\implies y=\cfrac{1}{2}x+\text{\LARGE 4}~\hfill \stackrel{y-intercept}{(0,\text{\LARGE 4})}[/tex]

Answer: well you need to divid

Step-by-step explanation: well by dividing you get a answer so like you compare if the answer you got is for all of them and if it is not you say it is not proportional

Therefore , on solving the provided question we can say that inequality will be  x < 2.2727272727 .

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two variables values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality.

Here,

Given :

the inequality will be

=> 3(2x – 5) < 5(2 – x)

=> 6x - 15 < 10-5x

=> 11x < 25

=> x < 2.2727272727

Thus ,

x < 2.27

Therefore , on solving the provided question we can say that inequality will be  x < 2.2727272727 .

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The complete question is " Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left. "

Answer:

The answer would be B) x = -3.

Step-by-step explanation:

Answer: To find the probability of Janice making her next free throw, you can use the proportion of successful free throw shots out of the total number of free throw shots attempted so far.

First, we need to find the number of free throws made by Janice so far:

80% success rate * 15 free throws attempted = 12 free throws made

Then we add the number of free throws made today:

12 + 3 = 15

Then we add the number of free throws attempted today:

15 + 5 = 20

So the probability of Janice making her next free throw is:

15 free throws made / 20 free throws attempted = 75%

So, the probability that Janice will make her next free throw is 75%.

It's worth noting that this answer is based on the assumption that her success rate will remain the same and doesn't take into account any other variable or change in her performance.

Step-by-step explanation:

The distance is 3.21 +/- 0.04 mm using the first three measurements, and 3.16 +/- 0.08 mm using the entire set of ten measurements.

What is deviation ?

Deviation is a measure of how much a set of values differs from a certain value, typically the mean (average) of the set. There are two types of deviation ,

The absolute deviation is the difference between each value and the mean.

The standard deviation is the square root of the average of the squared absolute deviations.

The mean distance = (3.27 + 3.23 + 3.15) / 3 = 3.21 mm

The standard deviation = sqrt(((3.27 - 3.21)^2 + (3.23 - 3.21)^2 + (3.15 - 3.21)^2) / 2) = 0.04 mm

So, using the first three measurements, we can report the distance as 3.21 +/- 0.04 mm

To report the distance and uncertainty using the entire set of ten measurements, we can calculate the mean and standard deviation of the ten measurements.

The mean distance = (3.27 + 3.23 + 3.15 + 3.16 + 3.28 + 3.14 + 3.16 + 3.12 + 3.32 + 1.46) / 10 = 3.16 mm

The standard deviation = sqrt(((3.27 - 3.16)^2 + (3.23 - 3.16)^2 + (3.15 - 3.16)^2 + (3.16 - 3.16)^2 + (3.28 - 3.16)^2 + (3.14 - 3.16)^2 + (3.16 - 3.16)^2 + (3.12 - 3.16)^2 + (3.32 - 3.16)^2 + (1.46 - 3.16)^2) / 9) = 0.08 mm.

The distance is 3.21 +/- 0.04 mm using the first three measurements, and 3.16 +/- 0.08 mm using the entire set of ten measurements.

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For a quadratic function [tex]y=ax^2+bx+c[/tex], we know the vertex of the graph is a maximum if and only if [tex]a < 0[/tex], and a minimum if and only if [tex]a > 0[/tex].

It is easy to see that for a function of the form [tex]y=a(x-h)^2+k[/tex], the vertex of the graph is a maximum if and only if [tex]a < 0[/tex], and a minimum if and only if [tex]a > 0[/tex].

Therefore, the vertex of the graph of [tex]f(x)[/tex] is a maximum, and the vertex of the graph of [tex]g(x)[/tex] is a minimum.

The function f(x) = -2(x + 4)+2 is minimum point and g(x) = 2(x - 2)-2 is maximum point.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

f(x) = -2(x + 4)+2 and g(x) = 2(x - 2)-2

As, the equation are in the form

y = a (x-h) + k

For 1st function: f(x) = -(x + 4)²+2

f(x) = -2(x+4) + 2

So, the vertex is (4, 2) and a = -2 < 0 which is minimum point.

Now,  g(x) = 2(x - 2)-2

So, the vertex is (-2, -2) and a = 2 > 0 which is maximum point.

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