Diana had a coupon for c dollars off of
each box of crackers. Diana bought 2
boxes of crackers for 4.50 – c dollars
each. She also bought 8 cans of soup
for s dollars each. The total amount, in
dollars, she spent on the cans of soup
and boxes of crackers is represented by
the expression below.
2(4.50 – c)+8s

Which expression also represents the
total amount, in dollars, she spent?
A.6.50 – 2c + 8s B. 6.50 – 2c + 10s
C. 9 – c + 8s D. 9–2c + 8s

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:

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}.

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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Answer:

The answer would be B) x = -3.

Step-by-step explanation:

You need a sample size of at least 1612 recent liberal arts major graduates to have a margin of error of 400 with a 90% confidence level.

What is standard deviation ?

The standard deviation is a measure of the spread or dispersion of a set of data. It is a statistical measure that describes how much variation or deviation there is from the mean (average) of a set of values. The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences of each value from the mean.

n = (z*sigma / E)^2

where , n = sample size

z = the z-score corresponding to the desired level of confidence (90% confidence level corresponds to a z-score of 1.645)

sigma = the estimated standard deviation of starting salaries (9000)

E = the desired margin of error (400)

Plugging in the known values ,

n = (1.645 * 9000 / 400)^2

n ≈ (40.1125)^2

n ≈ 1611.6

So you need a sample size of at least 1612 recent liberal arts major graduates to have a margin of error of 400 with a 90% confidence level.

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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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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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Answer:

4.5

Step-by-step explanation:

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

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

Answer:

53000 and 42400

Step-by-step explanation:

100*530and 80*530

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. "

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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Answer:

Step-by-step explanation:

I guess 6%?

Answer:

Here is a picture of it graphed

Step-by-step explanation:

Hope it helps.

If you have any query, feel free to ask.

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 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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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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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:

With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

A quantity or item that depends on random events is formalized mathematically as a random variable, also known as a random quantity, aleatory variable, or stochastic variable.

It is a mapping or function from potential outcomes, such as the potential heads or tails of a coin flip.

This graph demonstrates how random variables are a function of real values and all conceivable outcomes.

It also demonstrates how probability mass functions are defined using random variables.

Informally, randomness usually denotes some basic element of chance, like as the roll of a die, and it may also denote uncertainty, such as measurement mistake.

Hence, With m′x=mx, xmx is differentiable. Since m0=1, mx=ex for every x 1 and E(N)=m1=e specifically.

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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%

Answer:

Rational numbers are numbers that can be expressed as a fraction or part of a whole number. (examples: -7, 2/3, 3.75) Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers. There is no finite way to express them. ( examples: √2, π, e)

Answer:

Likely

Step-by-step explanation:

Let's list out all the numbers 1 to 12 first:

1 2 3 4 5 6 7 8 9 10 11 12

Nice! Now let's only keep the numbers that are greater than 4, since the other numbers don't satisfy the condition of "greater than 4"

5 6 7 8 9 10 11 12

There are 8 options that Bryson could choose out of all the 12 options. We can express that as 8 over 12:

[tex]\frac{8}{12}[/tex]

Then, we simplify this by dividing both the numerator and denominator by 4, and we get:

[tex]\frac{2}{3}[/tex]

Therefore, it is a 2/3 chance that Bryson will choose a number greater than 4, and we would say that 2/3 chance is likely, but not certain.

Answer:

1.  59% chance of drawing an odd card.  "As likely as not."

2.  A 66.67% chance of drawing a number greater than 4.  Likely

Step-by-step explanation:

We will assume that all card draws are random, as promised.  

The likihood of drawing an odd number is determined by counting how many numbers in the cards labelled 1 - 12 are odd.  There are 6 odd and 6 even cards.  Bryson's change of picking an odd card, randomly, is 6/12 (6 times out of 12 tries).  That's a 50% chance.  I don't see the options for answers, but "As likely as not" would be correct.  The chance for even is also 6/12, or 50%

To determine the likihood of picking a number great than 4, count the values greater than 4 (5,6,7,8,9,10,11,12)  There are 8 values greater than 4.  Bryson has an 8/12 chance of picking a number greater than 4.  That would mean a 66.666% chjance, which I would consider "likely."

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:

4

Step-by-step explanation:

24*1/6=4

Answer:

Your answer is 4

24/6

6×4=24

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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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

[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]

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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