Benjamin is turning 9 and wants to have his birthday party at Party Zone Palace. Party Zone Palace offers several different birthday packages. The pricing for three packages are displayed below.


a. Does Package C represent a function? Explain your reasoning.



b. Explain how you know that Package A and Package B represent linear functions.

Answer:

14

Step-by-step explanation:

49÷7=7

7×2=14

have a good day!

Answer:

400 passengers

Step-by-step explanation:

To solve the problem, a proportion would be best!

First, let's set up the left side of the proportion. Percents, when used in parts, are always part of 100%, making 100% a whole. We'll use both 10% and 100% as our first fraction, which should look something like this:

\(\frac{10p}{100w}\) (with p standing for part and w standing for the whole)

Next, let's set up the right side of our proportion. We'll use the 40 for our part and x for our whole since that is the number we are solving for. The proportion should now look like this:

\(\frac{10p}{100w} = \frac{40p}{x}\)

To solve, just cross multiply and divide! Multiply 40 by 100 to give you 4,000. Next, divide 4,000 by the remaining 10 to give you a final answer of 400. If 40 passengers on the flight are in first class, then there are 400 total passengers. Hope this helps!

Answer:

Volume = 1526.04 cubic units

Step-by-step explanation:

Formula for volume of a cone:

V = πr²h/3

If we use 3.14 for pi, we get 1526.04:

V = 3.14(9)^2(18)/3

V = 1526.04

Answer: The diameter of the circle would be 2 meters.

Step-by-step explanation:

The circumference of a circle is given

C = pi *d then 2 pi = pi *d.

To find the diameter of the circle, you will need to divide each side by pi

(pi) 2 pi = pi *d (pi)

Diameter = 2

Therefore, the circumference of a circle that is 2 π m's diameter would be 2 meters.

Statement b) 'The spread of the data is the same for both towns' and c) 'The interquartile range is less for Town A than Town B' are true.

a) The median is greater for town A:

To find the median, we need to arrange the data in order:

Town A: 0, 0, 0, 1, 2, 2, 3, 4, 5, 10

Town B: 2, 2, 4, 4, 5, 6, 8, 9, 12

The median for town A is 2 and the median for town B is 5. Therefore, statement (a) is false.

b) The spread of the data is the same for both towns:

To compare the spread of the data, we can look at the range, which is the difference between the largest and smallest values.

Town A: Range = 10 - 0 = 10

Town B: Range = 12 - 2 = 10

Both towns have the same range, so statement (b) is true.

c) The interquartile range is less for Town A than Town B:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). To find the quartiles, we need to arrange the data in order:

Town A: 0, 0, 0, 1, 2, 2, 3, 4, 5, 10

Q1 = 0.5, Q3 = 4

Town B: 2, 2, 4, 4, 5, 6, 8, 9, 12

Q1 = 2.5, Q3 = 9

The IQR for town A is 3.5 (4 - 0.5) and the IQR for town B is 6.5 (9 - 2.5). Therefore, statement (c) is true.

d) The modes are the best representation of the data for both towns:

The mode is the value that occurs most frequently in the data.

Town A: The mode is 0, which occurs three times.

Town B: There are two modes, 2 and 4, which each occur twice.

While the modes are a useful summary of the data, they may not be the best representation in this case since there are only ten data points for each town. Therefore, statement (d) is false.

e) The mean number of inches of snow per day was twice as much as in Town B as in Town A:

To compare the means, we need to calculate them for each town:

Town A: Mean = (2+0+5+4+2+10+1+3+0+0)/10 = 2.7

Town B: Mean = (4+4+9+8+12+2+2+2+6+5)/10 = 5.2

The mean for town B is approximately 1.9 times greater than the mean for town A, but not twice as much. Therefore, statement (e) is false.

Correct Question :

Two friends both claim that their towns received more snow during January. They picked ten random days in the month and listed the number of inches of snow that fell on those days in each of their towns.

Town A: 2, 0, 5, 4, 2, 10, 1, 3, 0, 0

Town B: 4, 4, 9, 8, 12, 2, 2, 2, 6, 5

Choose all true statements :-

a) The median is greater for town A

b) The spread of the data is the same for both towns

c) The interquartile range is less for Town A than Town B

d) The modes are the best representation of the data for both town

e) The mean number of inches of snow per day was twice as much as in Town B as in Town A

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Answer:

36 gingersnaps

Step-by-step explanation:

132-96= how many ginger snaps

Answer:

14.9g + 9.5c

Step-by-step explanation:

g stands for $ earned training & c stands for $ earned working with customers

Anthony trained for 8.5 hours so, 8.5 hours x g $ earned at training = 8.5g

He worked with customers for 4.3 hours, so 4.3 hours x c $ earned with customers = 4.3c

Anthony's total $ earned is 8.5g + 4.3c

Madison trained for 6.4 hours so, 6.4 hours x g $ earned at training = 6.4g

She worked with customers for 5.2 hours, so 5.2 x c $ eared with customers = 5.2c

Madison's total $ earned is 6.4g + 5.2c

Anthony  8.5g  +  4.3c

Madison  6.4g  +  5.2c

If you add both their $ earned training, you get 14.9g

If you add both their $ earned with customers, you get 9.5c

To total what they both earn  it would be 14.9g + 9.5c

Answer:

42.80

Step-by-step explanation:

The correct symbol used for a column alias containing spaces is C. " " (quotation marks).

In SQL, when we want to assign a column alias containing spaces, we enclose the alias within double quotation marks. This is done to differentiate the alias from other SQL keywords or to handle cases where the alias includes special characters, spaces, or is case-sensitive.

For example, consider the following SQL query:

SELECT column_name AS "Column Alias"

FROM table_name;

In this query, we are selecting a column named "column_name" from the table "table_name" and assigning it the alias "Column Alias" containing spaces. By enclosing the alias within double quotation marks, we indicate to the database that it should treat the entire string as a single identifier or alias.

Using other symbols such as '', ||, or // will not achieve the desired result of creating an alias with spaces. These symbols have different meanings in SQL.

'' (two single quotation marks) typically represents an empty string or a string literal in SQL.

|| (double vertical bars) is the concatenation operator in some SQL dialects, used to combine strings or values.

// (double forward slashes) is commonly used for comments in various programming languages and does not have any special meaning for column aliases in SQL.

Therefore, the correct symbol to use for a column alias containing spaces is C. " " (quotation marks).

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Answer:

Option C

Step-by-step explanation:

To test a graph whether it represents a function or relation we conduct a vertical line graph.

If the vertical line intersect the graph at two different points, graph represents a relation only.

By analyzing the given graph with the vertical line test,

Since, a vertical line (x = -4) intersect the graph at two points (y = -1 and y = 5),

Given graph represents a relation only.

Option C is the answer.

Answer:

Hello,

Step-by-step explanation:

1/4 of an circle - the triangle

\(Area=\dfrac{\pi*26^2}{4} -\dfrac{26^2}{2} \\\\=169*(\pi-2)\approx{192,93}\)

Reciprocal is defined as the inverse of a value or a number.

What is meant by reciprocal?

The reciprocal of any number in mathematics is one divided by that number.

If x is a real number, then \(\frac{1}{x}\) will be x's reciprocal. Hence, we must change the number to its upside-down form.

For instance, 1 divided by 4 is the reciprocal of 4. The result of multiplying a number by its reciprocal now equals one. Inverse multiplicative is another name for it.

The multiplicative inverse is another name for it. It can also be discovered by switching the numerator and denominator. A number's reciprocal and its product are equal to one.

Except for zero, every integer has a reciprocal.

Hence, reciprocal is defined as the inverse of a value or a number.

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Answer: 1304.7

Step-by-step explanation: just took test

Answer:

If I read it right I believe it's C.

Step-by-step explanation:

Answer: D

Step-by-step explanation: The answer is the z score that is farthest from the mean is - 2.00. The Z-score is the number of standard deviations a random value is from the population mean.

The z-score values which represents represents the location farthest from the mean is z=-2.00. (D)

In a standard normal distribution, the z-score represents the number of standard deviations a given value is from the mean.

The larger the absolute value of the z-score, the farther the value is from the mean. In this case, we're asked to identify the location farthest from the mean among the given choices.

By looking at the absolute value of each z-score, we can determine which value is the farthest from the mean. The absolute value of a z-score indicates how far away a given value is from the mean, regardless of whether it's above or below the mean.

In this case, the absolute value of the z-score "D. z = -2.00" is the largest among the choices, indicating that this value is the farthest from the mean. Hence, "D. z = -2.00" is the answer.

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Answer:

Step-by-step explanation:

After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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Answer:

5.85

Step-by-step explanation:

Jusy use the calculator

The limit of the given expression \(lim\:_ x_\rightarrow_3_6 sin\frac{(\sqrt x - 6)}{(x - 36)}\)  as x approaches 36 is  \(\frac{1}{48}\).

To find the limit of the given expression as x approaches 36, we can simplify the expression and then evaluate the limit.

\(lim\:_ x_\rightarrow_3_6 sin\frac{(\sqrt x - 6)}{(x - 36)}\)

To simplify the expression, we can apply the trigonometric identity \(lim _\theta_\rightarrow _0 \: sin\frac{(\theta)}{\theta} = 1.\)

Let's substitute \(\theta = \sqrt x - 6\)

\(lim\:_ x_\rightarrow_3_6 sin(\sqrtx - 6)/(x - 36) = lim_\theta_\rightarrow_0 sin(\theta)/[(\theta + 6)^2 - 36]\)

Simplifying the denominator:

\(lim_\theta_\rightarrow_0 sin(\theta)/(\theta^2 + 12θ) = lim _\theta_\rightarrow_0 sin(\theta)/(\theta(\theta + 12))\)

Now, we can apply the trigonometric identity \(lim \theta_\rightarrow_0 \frac{sin\theta}{\theta} = 1\):

\(lim \theta_\rightarrow_0 sin(\theta)/(\theta(\theta + 12)) = \frac{1}{(36 + 12)}\)

Simplifying further:

\(lim\:_ x_\rightarrow_3_6 sin\frac{(\sqrtx - 6)}{(x - 36)} = \frac{1}{48}\)

Therefore, the limit of the given expression as x approaches 36 is 1/48.

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Answer:

5/6 + 2/3 + 1/2

5/6 + 2×2/3×2 + 1×3/2×3

(5+4+3)/6

12/6

2/1

2

Answer:

4(9a - 4)

Step-by-step explanation:

Answer:

4(9a - 4)

Step-by-step explanation:

Given

36a - 16 ← factor out 4 from each term

= 4(9a - 4)

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The volume of the parallelepiped is 55 cubic units.

In the question, we are asked to find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, given P(−2, 1, 0), Q(5, 3, 5), R(1, 4, −1), S(3, 6, 2).

We first find the vectors:

PQ = Q - P

= < 5 - (-2), 3 - 1, 5 - 0 >

= < 7, 2, 5 >.

PR = R - P

= < 1 - (-2), 4 - 1, -1 - 0 >

= < 3, 3, -1 >.

PS = S - P

= < 3 - (-2), 6 - 1, 2 - 0 >

= < 5 , 5, 2 >.

The volume of the parallelepiped can be found using the triple product of these vectors, PS.( PQ * PR )

\(= \begin{vmatrix}5 & 5 & 2 \\ 7 & 2 & 5 \\ 3 & 3 & -1\end{vmatrix}\)

We solve this determinant to get the value of the volume of the parallelepiped.

\(= \begin{vmatrix}5 & 5 & 2 \\ 7 & 2 & 5 \\ 3 & 3 & -1\end{vmatrix}\\= 5\begin{vmatrix}2 & 5\\ 3 & -1\end{vmatrix} - 5\begin{vmatrix}7 & 5\\ 3 & -1\end{vmatrix} + 2\begin{vmatrix}7 & 2\\ 3 & 3\end{vmatrix}\\\)

= 5(2*(-1)-5*3)-5(7*(-1)-5*3)+2(7*3-2*3)

= 5(-17) - 5(-22) + 2(15)

= -85 + 110 + 30

= 55.

Thus, the volume of the parallelepiped is 55 cubic units.

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Answer:

Step-by-step explanation:

Let the consecutive even numbers be 2n , (2n + 2) , (2n +4), (2n + 6)

2n + 2n+2 + 2n+4 + 2n+6 = 180

Add like terms

2n + 2n + 2n + 2n + 2 + 4 + 6 = 180

8n + 12 = 180

Subtract 12 from both sides

8n + 12 - 12 = 180 - 12

              8n = 168

Divide both sides by 8

 8n/8 = 168/8

     n = 21

2n = 2*21 = 42

2n + 2= 2*21 +2 = 42 +2 = 44

2n +4 = 2*21 + 4 = 42 + 4 = 46

2n +6 = 2*21 + 6 = 42 + 6 = 48

The 4 consecutive even integers:  42, 44 , 46 , 48

Answer:X=7

Step-by-step explanation:

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Answer:

n to the power of 6 (4n+3)

Step-by-step explanation:

Answer:

so easy! 9 + 2y

Answer:

6+2y

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-6}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-4}-\underset{x_1}{(-3)}}} \implies \cfrac{-6 +4}{-4 +3} \implies \cfrac{ -2 }{ -1 } \implies 2\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-3)}) \implies y +4 = 2 ( x +3) \\\\\\ y+4=2x+6\implies {\Large \begin{array}{llll} y=2x+2 \end{array}}\)