Eshal is ordering lunch for himself and his friends. He orders $4 worth of cheeseburgers, $7 worth of fries, $5 worth of chicken nuggets, and $5 worth of drinks. Eshal’s friends pay him $17. Select all the expressions that can be used to find how much Eshal paid for his lunch.

Answer:

B. 0, π, and 2π

Step-by-step explanation:

on edge

The x-intercepts of y = sin x should be option b.

Given that,

Based on the above information, the calculation is as follows:

0 ≤ x ≤ 2π

Here the x-intercepts should be \(0, \pi, 2\pi\)

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#1

6pints=6(2)=12cups

1-D

#2.

16pints=

#3

8fluid ounces=1gallon.

3(C)

Answer: #1

1pint=2cups

6pints=6(2)=12cups

1-D

#2.

16pints=

16(2)=32cups=8quarts

#3

8fluid ounces=1gallon.

3(C)

Answer:

32+n

Step-by-step explanation:

32 more than the number n would be 32+n.

Hope this helps!

Answer:

x > 2

Step-by-step explanation:

-x < -2

multiply both sides by -1

switch direction of the sign because you're multiplying by a negative number!

x > 2

Answer:

Hey :D

Step-by-step explanation:

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

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Answer:

use the equation your teacher gave you

Therefore , the solution of the given problem of unitary method comes out to be the two values are 12 and -17 .

This common convenience, already-existing variables, or all important elements from the original Diocesan malleable study that followed a particular methodology can all be used to achieve the goal. Both crucial elements will surely be missed if the phrase confirmation outcome does not occur, but if it does, it will be possible to contact the entity again.

Here,

We can commence by listing the factor pairs of 204 in order to find two numbers that have a product of -204 and a sum of 28:

=> 1 x 204 = 204

=> 2 x 102 = 204

=> 3 x 68 = 204

=> 4 x 51 = 204

=> 6 x 34 = 204

=> 12 x 17 = 204

Since the result is negative, we know that the signs of the two integers are the exact opposite. We also know that the bigger number must be positive and the smaller number must be negative because the sum is positive.

Therefore, 12 and -17 are the only factor couple that satisfy these requirements.

=> 12 x -17 = -204

=> 12 + (-17) = 28

The two values are 12 and -17 as a result.

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Answer:

-n← 2 2/3

Step-by-step explanation:

first combine like terms, and then simplify

Answer:

n> \(-\frac{8}{3}\)

Add similar elements  -5n-6n=-11

Add 8n to both sides

Simplify -3n<8

Multiply both sides by -1

Simplify 3n>-8

Divide both sides by 3

Simplify

Answer:

nr. 1 and 3 is a Dilation 2 and 4 are not Dilations

Step-by-step explanation:

Dilation is an elnargment or shink of a figure by a x(factor) that makes the SAME image but smaller or larger

Answer:

3.265

Step-by-step explanation:

We cannot measure the period T using the elapsed time for a single revolution because they are not the same thing. Elapsed time is the amount of time that has passed since the beginning of an event, while the period is the amount of time it takes for an event to repeat itself. Let's explore these concepts further.

Single revolution: This refers to a complete rotation or cycle around an object, for example, one rotation of the Earth around its axis. In this case, one revolution would be 24 hours, or 1440 minutes, or 86400 seconds, depending on the units used to measure the elapsed time.

Elapsed time : This refers to the time that has passed since the beginning of an event or process. For example, if you start timing how long it takes a pendulum to complete one cycle when it is at rest and you stop the timer when it completes the next cycle, you would have measured the elapsed time for one cycle. The elapsed time can be measured in seconds, minutes, hours, or any other unit of time.

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Given:

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

Answer:

Step-by-step explanation:

I've attached a pic, I used y for sin(theta) and x for cos(theta). Shows all steps. See image.

Step 1: use "factoring sum of cubes" to factor the numerator.

Step 2: in the trinomial, in the numerator, rearrange terms to use the sin^2 + cos^2 = 1 .

Step 3: cancel that factor with the denominator.

The given series diverges, to find the sum with an error less than 0.00005 we need to add at least 20 terms.

To test the series for convergence or divergence, let's examine the given series:

S = Σ\(((-1)^{(n+1)})/(5n^4),\) where n = 1 to infinity.

This is an alternating series because it alternates between positive and negative terms. In alternating series, we can use the Alternating Series Test to determine convergence or divergence.

For an alternating series Σ\(((-1)^{(n+1)})\) *\(a_n\), if the following two conditions hold:

If both conditions are satisfied, the alternating series converges.

Let's analyze the series:

\(a_n = 1/(5n^4)\)

The terms \(a_n = 1/(5n^4)\) decrease as n increases because as n increases, the denominator \((5n^4)\) gets larger, making the fraction smaller in absolute value.

To check the limit, we can evaluate \(lim(a_n)\) as n approaches infinity:

\(lim(a_n) = lim(1/(5n^4))\) as n approaches infinity

        = \(1/(5 * \infty^4)\)

        = 1/(5 * ∞)

        = 0

Both conditions of the Alternating Series Test are satisfied, indicating that the series converges.

If an alternating series converges, we can use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than a given value.

The Alternating Series Estimation Theorem states that the error,\(E_n\), when approximating the sum, S, by the nth partial sum, \(S_n,\) satisfies:

\(|E_n| < = |a_(n+1)|\)

In this case, we need to find the value of n such that \(|E_n| < = 0.00005.\)

\(|E_n| = |a_{(n+1)}| = 1/(5(n+1)^4)\)

To find the value of n, we can set\(|E_n|\)<= 0.00005 and solve for n:

\(1/(5(n+1)^4)\) <= 0.00005

Solving this inequality is a bit complex algebraically. Let's simplify it by taking reciprocals and rearranging the terms:

\(5(n+1)^4\)>= 1/0.00005

\((n+1)^4\) >= 1/(0.00005*5)

\((n+1)^4\) >= 400000

Now, taking the fourth root of both sides:

n+1 >=\((400000)^{(1/4)}\)

Approximating the fourth root, we have:

n+1 >= 11.83

n >= 10.83

Since n represents the number of terms, we need to add an integer number of terms.

Therefore, the smallest value of n that satisfies the inequality is n = 11.

Thus, we need to add at least 11 terms to find the sum with an error less than 0.00005.

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Answer:

A. no solution

Step-by-step explanation:

You cannot divide any number by 0.  It is undefined.

The domestic market becomes a net importer of bikes and the country can benefit from trade even if there is a loss to domestic producers.

Market for Bikes:When a country imposes tariffs and begins trading with the world, the equilibrium price and quantity of the product will change. When a country moves from autarky to open trade, it begins to import and export goods. In this instance, the domestic price of bikes (a) was 7, and the world price (b) was 4. In the absence of trade, domestic supply (S) equals domestic demand (D), and the quantity of bikes exchanged in the market is

\(Q_1\). Now, when the world price is lower than the domestic price, demand for domestic bikes will decrease, but domestic supply will increase. As a result, domestic producers will increase the quantity supplied, and domestic consumers will reduce the quantity demanded.The increase in domestic supply will result in a new quantity of bikes exchanged,

\(Q_2\). With the increase in domestic supply, the domestic price will fall as domestic producers will be willing to sell bikes at a lower price to capture the market. In the end, when the quantity demanded by the domestic market is equal to the quantity supplied from domestic producers and imports, the market reaches its new equilibrium at point E. Since the new equilibrium price is less than the original price, domestic consumers benefit from trade, while domestic producers face a loss. In the end, the domestic market becomes a net importer of bikes and the country can benefit from trade even if there is a loss to domestic producers.

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The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The greatest common factor of \(6x^2 - 15\) is 3. The greatest common factor among these numbers is 3, which is the biggest number by which any of them can be split.

Define common factors. Mathematicians refer to factors that are shared by two or more numbers as common factors. A common factor is a number that will split a collection of two or more numbers exactly, to put it another way. a list of definitions for common factors. a number that divides other numbers equally, or more. synonyms include common measure and common divisor. The term "Greatest Common Factor," often referred to as the "Greatest Common Divisor" (GCD) or the "Highest Common Factor" (HCF), is frequently shortened as "GCF."

\(6x^2 - 15=0\)

Calculate.

\(6=3*2\\15=3*5\)

The greatest number that can be used to divide both of the other numbers.

3

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Answer:

( 6, -1 )

Step-by-step explanation:

When you rotate 1 from the x axis by 90° it becomes -1 from the y axis.

When you rotate 6 by 9° from thr y axis, it becomes again 6 on the x axis

Your new x value is 6 and y is -1

So (6,-1)

Answer:

(-6, 1)

Step-by-step explanation:

To find the point obtained by rotating point P = (1, 6) counterclockwise by an angle of 90 degrees (r₉₀°), we can use the rotation formula:

x' = x * cos(θ) - y * sin(θ)

y' = x * sin(θ) + y * cos(θ)

In this case, θ is 90 degrees.

Substituting the values into the formula:

x' = 1 * cos(90°) - 6 * sin(90°)

y' = 1 * sin(90°) + 6 * cos(90°)

cos(90°) = 0 and sin(90°) = 1, so we have:

x' = 1 * 0 - 6 * 1 = -6

y' = 1 * 1 + 6 * 0 = 1

Therefore, r₉₀°(P) = (-6, 1). The point P = (1, 6) rotates counterclockwise by 90 degrees to the point (-6, 1).

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Answer:

Haircut : $20

Tip (15%) : $3

=> $20+$3= $23

Step-by-step explanation:

68 68 70 61 67 71 63 67



Step 1: Write the formula of standard deviation

n = 8

Step 2: Find the mean

Step 3: find the standard deviation

Next, substitute to find the standard deviation

standard deviation = 3.14

Final answer

The number of data within the standard deviation of the mean = 5

Using the exponential growth formula, the population in 2005 was 161 million.

The equation f(x) = a(1 + r)^x can also be used to compute exponential growth, where: The function is represented by the word f(x). The initial value of your data is represented by the a variable. The growth rate is represented by the r variable. To calculate growth rates, divide the difference between the starting and ending values for the period under study by the starting value.

Growth factor = (159/154) for the eleven-year period between 1990 and 2001.

The population growth might thus be described by the exponential equation

p(t) = 154(159/154)^(t/11), where t is the number of years since 1990.

The model forecasts a population of... p(15) = 154(159/154)^(15/11)

= 160.86 = 161 million

In 2005, there were about 161 million people living there.

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Correct Question:

A country's population in 1990 was 154 million. In 2001 it was 159 million. Estimate the population in 2005 using the exponential growth formula. Round your answer to the nearest million.

A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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The required discriminant of the quadratic equation ax-bx+c= 0 is D = b² - 4c.

In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows some root properties to be inferred without having to compute them.

It is essentially a polynomial function of the coefficients of the initial polynomial.

So, we have the quadratic equation:

ax- bx +c= 0

We know that the discriminant formula is as follows:

Discriminate = b² - 4c

Now, get the discriminant:

D = b² - 4c

Therefore, the required discriminant of the quadratic equation ax-bx+c= 0 is D = b² - 4c.

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Answer:

A = 6x^2 - 7x - 3

Step-by-step explanation:

Area of triangle = bh

A = (2x - 3)(3x + 1)

A = (2x)(3x) + (2x)(1) - (3)(3x) - (3)(1)

A = 6x^2 + 2x - 9x - 3

A = 6x^2 - 7x - 3

No , 23 x 10⁶ is not written in scientific notation.

Values that are either too huge or too little to be conveniently expressed in decimal form can be expressed using scientific notation (typically would result in a long string of digits).

So 23 x 10⁶ written in exact scientific notation is given by 2.3 × 10⁷ .

Therefore   2.3 × 10⁷ is written in scientific notation whereas  23 x 10⁶  is not in scientific notation.

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Answer:

2

Step-by-step explanation:

Plug in -2 for every value of x

The equation would be 2(-2)^2 + 3(-2)

That would turn into 8 + (-6) = 2