General Admission
$15 admission
$4 per taco

VIP
$36 admission
$1.50 per taco

How many tacos must Derrick buy for each pricing option to be the cheapest?

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

x axis - (18,0)

y axis - (0,12)

quadrant I - (4.5, 10.6)

quadrant II -(-15,21)

quadrant III - (-3/4, -4 1/9)

quadrant IV - (0,-7)

Step-by-step explanation:

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

(-1,2)

Step-by-step explanation:

x = 3-2y

then

5(3-2y) + 3y = 1

15 -10y +3y = 1

14 = 7y

y = 2

then

x = 3-2(2)

x = -1

Answer: I dont know i am only 9 years old i will call the internet police

Step-by-step explanation:

Answer:

\(g(x) = \sqrt{x+6} +3\)

Step-by-step explanation:

It is the same function just translated differently on the coordinate plane. The origin goes from being at (-4,-2) to (-6,3) so I switched those variables in the equation. Just remember that anything in the parenthesis has to be the inverse sign than what you would think.

Answer:

8

Step-by-step explanation:

radical form conversion uses the equation: \(\alpha ^\frac{z}{n} = `^n\sqrt{a^x}\)

Use the rule to convert 4^3/2 to a radical, where a = 4,  x = 3, and n = 2

\(\sqrt{4^3}\)

simplified, your answer is 8

hope this helps:)

Answer:

8

Step-by-step explanation:

\(27^\frac{1}{3}\) is the same as \(\sqrt[3]{27^1}\). To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator.

\(4^{ \frac{3}{2}}\) is the same as \(\sqrt4^3}\)

\(\sqrt{64}\)

\(\sqrt(8*8)\)

\(\cancel\sqrt(8^\cancel2) (cancel)\)

= 8

Answer:

Two number: (9 , 12) or (-9 , -12)

Step-by-step explanation:

x² + (x+3)² = 225

2x² + 6x + 9 = 225

2x² + 6x + 216 = 0

2 (x² + 3x + 108) = 0

2 ( x-9) (x+12) = 0

x = 9   or   x = -12

Two number: (9 , 12) or (-9 , -12)

Answer:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

Step-by-step explanation:

Read the sentence below, which appears in the brochure “Nanotechnology: Big Things from a Tiny World.” As you read, look for context clues that could help you define any scientific terms.

Scientists have also developed sensors to measure pesticide levels in the field, allowing farmers to use less while still protecting their plants.

According to the context clues provided by the author, what is a pesticide?

Group of answer choices

Answer:

The answer is CH8

Step-by-step explanation:

The difference of maximum possible weight and minimum possible weight will be 0.72 ounces

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Weight of box of cookies = 24 ounces

Acceptable percentage error = 1.5 %

Maximum possible weight =
Weight of box of cookies + Acceptable percentage error  

Minimum possible weight =
Weight of box of cookies - Acceptable percentage error  

Maximum possible weight = 24 + ( 1.5/100 ) x 24

                                             = 24 + 0.36

                                             = 24.36 ounces

Minimum possible weight = 24 - ( 1.5/100 ) x 24

                                            = 24 - 0.36

                                            = 23.64 ounces

Therefore , difference of Maximum possible weight and Minimum possible weight will be

= 24.36 - 23.64

= 0.72 ounces

Hence , the difference of maximum possible weight and minimum possible weight will be 0.72 ounces

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f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.

Given: f(x) = 4.1/(42.4x-10(x-2))

To find the x-intercept, we set f(x) to zero and solve for x:

0 = 4.1/(42.4x-10(x-2))

0 = 4.1/(32.4x+20)

0 = 4.1/4.08(x+4.878)

So, the x-intercept is x = -4.878.

To find the y-intercept, we set x to zero and solve for f(x):

f(0) = 4.1/(42.4(0)-10(0-2))

f(0) = -2.05

So, the y-intercept is (0,-2.05).

To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:

f(x) = 4.1/(42.4x-10(x-2))

f(x) = 4.1/(32.4x+20)

f(x) = 4.1/4.08(8x+5)

So, a = 8, b = 5, and q = 4.1/4.08.

To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.

We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.

To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:

4.1

8x + 5 | 4.1

- 4.1

0

So, the slant asymptote is y = 4.1/8x.

Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.

The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.

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The maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

A special kind οf relatiοn knοwn as a functiοn is οne in which each input has precisely οne οutput. In οther wοrds, the functiοn generates exactly οne value fοr each input value. Because οne is mapped tο twο different values, the abοve graph depicts a relatiοnship rather than a functiοn. Hοwever, if οne were instead mapped tο a single value, the relatiοnship mentiοned abοve wοuld becοme a functiοn.

Additiοnally, οutput values can be equal tο input values. We knοw that the square rοοt functiοn is an increasing functiοn, which means that the value οf the functiοn increases as the input value increases.

Therefοre, tο find the maximum value οf the functiοn, we need tο find the maximum value οf h.

Assuming that the lighthοuse is οn the hοrizοn, which is apprοximately 3 miles away, we can use the Pythagοrean theοrem tο find the height οf the lighthοuse:

\(h^2 = (3)^2 - (15)^2h^2 = 9 - 225h^2 = -216\)

Since we cannοt take the square rοοt οf a negative number, there is nο real height fοr the lighthοuse that wοuld make it visible frοm a ship 15 feet abοve the water level.

Therefοre, the maximum distance that the sailοr can see frοm the deck οf the ship is 0 miles.

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Answer:

Step-by-step explanation:

Not enough info to solve this.

The equation representing the sentence six less than the product of 2 & a number is equal to 9 is  2x - 6 = 9

What are algebraic expressions?'

Algebraic expressions are defined as mathematical expressions consisting of terms, coefficients, variables, terms, factors and constants.

They are also made up of arithmetic or mathematical operations, some of which includes;

Examples of algebraic expressions are;

2x + 2

2x + y - 4

2y + 4 - 8y

From the information given, we have;

Let the number be x

This is represented as;

2x - 6 = 9

Thus, the equation is 2x - 6 = 9

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The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The order of the functions by the average rate of change from least to greatest is h(x), g(x) and f(x)

From the question, we have the following parameters that can be used in our computation:

The functions f(x), g(x) and h(x)

The interval is given as

From x = 2 to x = 5

For the function f(x), we have

f(2) = -5

f(5) = 5

So, we have

Rate = (5 + 5)/(5 - 2)

Rate = 10/3

For the function g(x), we have

g(2) = 8

g(5) = 14

So, we have

Rate = (14 - 8)/(5 - 2)

Rate = 2

For the function h(x), we have

h(2) = -2² + 7(2) - 4 = 6

h(5) = -5² + 7(5) - 4 = 6

So, we have

Rate = (6 - 6)/(5 - 2)

Rate = 0

Ordering the functions by the average rate of change, we have

h(x), then g(x) then f(x)

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

Step-by-step explanation:

You want the simplified form of (5b^1c^-5)^-3(4b^0a^2)^-5.

There are several useful rules of exponents here:

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  a^-b = 1/(a^b)

Simplifying the top-level exponents first, we have ...

  \((5b^1c^{-5})^{-3}(4b^0a^2)^{-5}=(5^{-3}b^{1(-3)}c^{(-5)(-3)})(4^{-5}b^{0(-5)}a^{2(-5)})\\\\=(5^{-3}4^{-5})a^{-10}b^{-3+0}c^{15}=\dfrac{1}{5^34^5}a^{-10}b^{-3}c^{15}=\boxed{\dfrac{1}{128000}a^{-10}b^{-3}c^{15}}\)

In terms of answer requirements:

  n = 1/128000

  r = -10

  s = -3

  t = 15

Answer:

pmdas perenthisis multiply divide add subtract

Step-by-step explanation:

Answer: 1. 13

2. 8

3. 20

4. 40

Step-by-step explanation:

Using Euler's Formula, the number of faces is given by: 8.

It states that the number of vertices, edges and faces is related by the following equation:

V - E + F = 2.

In this problem, the parameters are given as follows:

E = 15, V = 9.

Hence the number of faces is given by:

V - E + F = 2.

9 - 15 + F = 2

F - 6 = 2

F = 8.

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Answer:

n = 2.7

Step-by-step explanation:

I really hope this helps!

Answer:

  0.81

Step-by-step explanation:

The probability that multiple independent events will occur is the product of the probabilities of each of them.

  p((<2pm on day 1) & (<2pm on day 2)) = p(<2pm on day 1)×p(<2pm on day 2)

  = (0.9)(0.9)

  p(before 2 pm on both days) = 0.81

Answer:

a = 300

\(5 \sqrt{12} = \sqrt{25} \sqrt{12} = \sqrt{25 \times 12} = \sqrt{300} \)

\(\boxed{\begin{minipage}{5cm}\sf{2(x+3)=-4(x+1)}\\\sf{2x+6=-4x-4}\\\sf{6x+6=-4}\\\sf{6x=-10}\\\sf{x=-10/6}\\\sf{x=-5/3}\end{minipage}}\)

Camp Summer Fun will need about 83 tents.

The actual number of tents needed is less than the estimate because 331 divided by 4 is 82.75 and because I rounded to 83 it is less.

Hope this helped :)

Answer:

Note: Numbers are blocked in groups of two digits for convenience only. In using this table you can read numbers of any number of digits in any way you want.

Step-by-step explanation:

09/14/2022 9 ‑ 10 ‑ 20 ‑ 22 ‑ 52 25 3 $206 Million Roll

09/12/2022 6 ‑ 14 ‑ 16 ‑ 34 ‑ 66 25 3 $193 Million Roll

09/10/2022 38 ‑ 42 ‑ 56 ‑ 68 ‑ 69 4 2 $186 Million Roll