This year 45 people are expected to attend the cookout. Based on the scatterplot, about how many hot dogs should the family prepare?A family has a hot dog cookout every year. The scatterplot shows the number of people who have attended each cookout and the number of hotdogs that were eaten each year.

The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.

The volume of the cuboid is the product of the length, breadth, and height of the given prism.

Volume of cuboid = (length x width x height)

The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.

Volume of cuboid = (length x width x height)

= 24 x 8 x 9

= 1,728 cubic inches

Thus, the volume of the cuboid is 1,728 cubic inches.

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The expected value of the number of games the two equally strong tennis players will play until one wins three games in a row is 14.

Let's consider the possible sequences of games that can occur until one player wins three games in a row. We will denote the winning player as W and the losing player as L. The sequences can be represented as a combination of W's and L's, such as WWL, WLW, LWW, etc.

The key insight is that for each sequence, the last game played must be won by the player who wins three games in a row. This means that the number of games played until the streak ends is fixed at three. However, the preceding games can have various combinations of wins and losses.

To calculate the expected value, we need to consider all possible sequences and their probabilities. Since each player has a 50% chance of winning each game, the probability of any specific sequence occurring is (1/2)^n, where n is the length of the sequence.

We can calculate the expected value by summing the product of the number of games played in each sequence and its corresponding probability.

Considering all possible sequences and their probabilities, the expected value of the number of games played until one player wins three games in a row is found to be 14.

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Answer:

6x + 12 = 6x + 12

Explanation:

4(x + 3) + 2x

4x + 12 + 2x    Distribute 4.

6x + 12            Combine the like terms.

6(x + 2)          

6x + 12            Distribute 6

Answer:

B

Step-by-step explanation:

Answer:

Total cost = $14464

Step-by-step explanation:

Step 1:  Multiply the discount percentage by the regular price to determine the discount amount:

0.20 * 16000 = 3200

Thus, the 20% discount lowers the regular price by $3200.

Step 2:  Subtract the discount amount from the regular price to determine the new price:

16000 - 3200 = 12800.

Thus, the subtotal is $12800

Step 3:  Multiply tax percentage by subtotal to determine tax:

0.13 * 12800 = 1664

Thus, the 13% tax rate would raise the subtotal by $1664.

Step 4:  Add the tax to the subtotal to find the cost price.

1664 + 12800 = 14464.

Thus, the total cost of the car is $14464.

Thus, the total cost of the car with the 20% discount and the 13% tax is 14464.

Answer:

C

Step-by-step explanation:

my brain is dead from reading but C is the best answer choice for this probably

Answer:

C

Step-by-step explanation:

Given the class width of 6 and the minimum value of 12, the maximum value in the first class would be 12 + 6 - 1 = 17. The maximum value in the 6th and last class would be 17 + (6 x 5) = 42. Hence, the largest possible value in the data set is '42'.

A frequency table is used to organize and represent the distribution of a set of data. In this case, the data set has 6 classes and a class width of 6. This means that the range of values in each class is 6 units. The minimum value in the data set is 12, so the first class starts at 12 and ends at 12 + 6 - 1 = 17. This is because the class width is 6, so the end value of the first class would be the starting value plus the class width minus 1.

For the last class, the end value would be 17 + (6 x 5) = 42. This is because the end value of the first class is 17 and each subsequent class increases by 6 units. The largest possible value in the data set would be the end value of the last class, which is 42. This means that any value greater than 42 would not be part of the data set and would not be included in the frequency table.

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Answer:

6 cups

Step-by-step explanation:

When two things are directly proportional (e.g. y and x), we can model the relationship with the direct variation equation, which is

y = kx, where

Step 1:  To find k, we can allow y to represent Jackie's total revenue from selling lemonade ($9) and x to represent the quantity of cups of lemonade sold ($3):

9 = 3k

k = 3

Step 2:  Now that we've found the constant of proportionality, we can plug in 18 for y and 3 for k, allowing us to solve for x:

18 = 3x

6 = x

Thus, in order for Jackie to earn $18, she must sell 6 cups in all.

3) Perpendicular lines form right angles

4) \(\angle AXP \cong \angle AXQ\)

6) SAS

7) CPCTC

a) The derivative of g(x) at x=2 is g'(2) = 2.

b) The second derivative of k(x) at x=1 is k"(1) = -30.

c) The derivative of n(x) at x=0 is n'(0) = -18.

a) To find g'(x), we need to take the derivative of g(x) with respect to x. Let's differentiate each term separately:

g(x) = 3x³ - 8x² - 2x + 35

The derivative of 3x³ is obtained by applying the power rule, which states that if we have a term of the form \(ax^n\), the derivative is given by \(nax^{(n-1)\). In this case, the derivative of 3x³ is 3 * 3x², which simplifies to 9x².

The derivative of -8x² is obtained in a similar manner, resulting in -16x.

The derivative of -2x is -2.

Since 35 is a constant term, its derivative is zero.

Now, let's combine these derivatives to find g'(x):

g'(x) = 9x² - 16x - 2

To find g'(2), we substitute x = 2 into the derivative:

g'(2) = 9(2)² - 16(2) - 2

= 9(4) - 32 - 2

= 36 - 32 - 2

= 2

Therefore, g'(2) = 2.

b) To find k"(x), we need to take the second derivative of k(x) with respect to x. Let's differentiate each term:

k(x) = 1 / \(x^5\)

The derivative of 1/\(x^5\) can be found using the power rule and the chain rule. The power rule states that the derivative of \(x^n\) is n\(x^{(n-1)\), and the chain rule applies when we have a function within another function. In this case, the derivative of 1/\(x^5\) is -5/\(x^6\).

Taking the derivative of -5/\(x^6\), we apply the power rule again, resulting in 30/\(x^7\).

Now, let's find k"(x) by differentiating -5/\(x^6\) again:

k"(x) = -30/\(x^7\)

To find k"(1), we substitute x = 1 into the second derivative:

k"(1) = -30/(\(1^7\))

= -30/1

= -30

Therefore, k"(1) = -30.

c) To find n'(x), we need to take the derivative of n(x) with respect to x. We can apply the product rule to differentiate the two factors of n(x):

n(x) = (-4x + 2)(3x² - 5x + 2)

Using the product rule, the derivative of n(x) is given by:

n'(x) = (-4x + 2)(d/dx)(3x² - 5x + 2) + (3x² - 5x + 2)(d/dx)(-4x + 2)

To differentiate each term, we use the power rule:

(d/dx)(3x² - 5x + 2) = 6x - 5

(d/dx)(-4x + 2) = -4

Substituting these derivatives back into n'(x), we get:

n'(x) = (-4x + 2)(6x - 5) + (3x² - 5x + 2)(-4)

Now, let's find n'(0) by substituting x = 0 into the derivative:

n'(0) = (-4(0) + 2)(6(0) - 5) + (3(0)² - 5(0) + 2)(-4)

= (2)(0 - 5) + (0 - 0 + 2)(-4)

= (2)(-5) + (2)(-4)

= -10 - 8

= -18

Therefore, n'(0) = -18.

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The probability that the first is a king, the second a diamond and the third a diamond quiz let is 1/13, 1/4 and 10/52 respectively.

Now, we know that there are 52 cards in the deck of cards, and there are 13 cards of each suits i.e. diamonds, spade, heart and clubs. Also there are 12 face cards in total of the deck.

So, the probability if getting the first card is king :

King is a face card and there are 4 kings in the deck so the probability will be :

P(getting 1st card as king) = 4/52 = 1/13.

The probability of getting the second card a diamond is :

we know that there are 13 cards of the diamond in the deck so the probability will be :

P(getting the diamond card) = 13/52 = 1/4.

Now, lastly the probability if getting the diamond quiz let is :

There are 10 flashcards of the diamonds in the deck, so the probability will be :

P(getting the diamond flashcard) = 10/52.

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Answer:

16 ounces

Step-by-step explanation:

1 pound = 16 ounces

16*5 = 80 ounces

5 pounds = 80 ounces

80-64 = 16 ounces

Answer:

1.918

Step-by-step explanation:

1 then do 459/500 x 2 to make 918/1000 then add and convert

the answer is 2,329.21

Step-by-step explanation:

because when you take 18% off 2600 it takes off 468 then you get 2132 with taxs added will be 2329.21 because 9.25% taxes on 2132 is 197.21 which you added that to 2132

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

Answer:

y = -x +1

Step-by-step explanation:

p1 (-3,4)

p2 ( 3, -2)

line equation y = mx + b

The slope m equals

\( \frac{y2 - 21}{x2 - x1} \)

\( \frac{ - 2 - 4}{3 - - 3} = \frac{ - 6}{6} = - 1\)

y = - x + b

from any point

-2 = -3 + b

b = 1

line equation = y = -x +1

The statement implies that no matter how many peanuts and raisins are exchanged between Bob and Mark, they will always end up with an equal number of each. This suggests that the quantity of peanuts and raisins each person initially possesses is irrelevant to the final outcome.

This situation can be illustrated by the concept of a fair trade. If Bob and Mark exchange peanuts and raisins in such a way that the quantity exchanged maintains an equal number of each item for both individuals, the result will always be a balanced distribution.
For example, if Bob initially has 5 peanuts and 3 raisins, and Mark has 2 peanuts and 4 raisins, they can exchange 2 peanuts for 2 raisins. After the exchange, Bob will have 3 peanuts and 5 raisins, while Mark will have 4 peanuts and 2 raisins. The overall result is still an equal number of each item for both individuals.
This statement highlights the idea of fairness in the exchange of goods, where regardless of the initial quantities, the outcome ensures equality between the participants.

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In response to the stated question, we may state that As a result, the prism value of x is around 6.432 cm.

A prism is a polyhedron with either an n-sided polygonal basis, a second base that is a shifted copy of the original base, and n extra faces (essentially all parallelograms), with two connecting the corresponding sides of the base. Any cross sections those are parallel to the base are translations of it. A prism is a three separate, solid, three-dimensional object with two faces. It has the same merge, flat sides, and similar bases. Faces of a prism are parallelograms or rectangles with out any bases. A prism is a refracting item that is homogeneous, solid, and transparent, contained by planes that are obliquely oriented to one another. A typical prism has two triangular faces and parallel square faces. They are made of either glass or metal.

Two congruent triangles and three rectangular faces make up the right triangular prism.

L is the length of the rectangular faces.

W is the width of the rectangular faces.

H is the height of the rectangular faces and the prism.

B is the triangle's base.

x is the height of the triangles.

SA = 2B + PH

B = 1/2 * base * height

B = 1/2 * 13 cm * x = 6.5x cm²

P = 13 cm + 5 cm + x = 18 cm + x

SA = 2B + PH

376.8 cm² = 2(6.5x cm²) + (18 cm + x)(12 cm)

376.8 cm² = 13x cm² + (18 cm)(12 cm) + 12x cm²

376.8 cm² = 25x cm² + 216 cm²

25x cm² = 376.8 cm² - 216 cm²

25x cm² = 160.8 cm²

x = 6.432 cm

As a result, the value of x is around 6.432 cm.

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If I drove at the speed of a light year it would take me 1.152×10⁻⁴ seconds.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in the scientific form in a compact manner.

We know 1 meter is 0.000621371 miles.

∴  34700 meters is (34700× 0.000621371) = 21.56 = 2.156×10¹ miles.

Given, A light year is equivalent to 6.7x10^8 miles/hour.

∴ It would take (2.156×10¹/6.7x10^8) = 0.32×10⁻⁷ miles per hour.

Or (0.32×10⁻⁷×3600) = 1.152×10⁻⁴ seconds.

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Answer:

61 miles

Step-by-step explanation:

0.90 x 61 = 54.9

a. The standard form of the given linear programming model is as follows:

Objective function: Min Z = 8X1 + 6X2 + 0S1 + 0S2

Subject to:

2X1 + 4X2 - S1 = 8

3X1 + 2X2 - S2 = 6

X1, X2, S1, S2 ≥ 0

b. Using the linear programming simplex method to solve the standard form:

Initial tableau:

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   8     6    0    0    0

-------------------------------------

 S1   |   2     4   -1    0    8

-------------------------------------

 S2   |   3     2    0   -1    6

```

Entering variable: X1 (column with the most negative coefficient in the Z row).

Leaving variable: S1 (minimum ratio of the RHS to the coefficient in the X1 column).

Pivot operation: Divide the S1 row by 2.

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   2     6    0    0    16

-------------------------------------

  S1  |   1     2   -0.5  0    4

-------------------------------------

  S2  |   1.5   2    0.5 -1    2

```

Entering variable: X2 (column with the most negative coefficient in the Z row).

Leaving variable: S2 (minimum ratio of the RHS to the coefficient in the X2 column).

Pivot operation: Divide the S2 row by 2.

```

     BV   |   X1   X2   S1   S2   RHS

-------------------------------------

  Z   |   0     5    1    0    18

-------------------------------------

  S1  |   1     0   -1    1    2

-------------------------------------

  X2  |   0.75  1    0.25 -0.5  1

```

No more negative coefficients in the Z row. Optimal solution found.Solution: X1 = 2, X2 = 0.75, Z = 18. The optimal solution for the given linear programming model is X1 = 2, X2 = 0.75, with the minimum objective value Z = 18.

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Half of the text is covered...

Answer:

Good Luck!

Step-by-step explanation:

You would add 16 to both side in the attempt of completing the square

Step 1: Move any constant number (this case, it's 35) to the other side

Step 2: You will have a format of ax2 + bx = c, where your a = 1, b = 8, and c = 35

*a must always be 1*

Step 3: Divide b by 2 and then square that number. Your b = 8, so 8/2 is 4. Squaring 4 gives you 16.

Hence, that's why you add 16 to both side from your question.

Answer:

30$ is 15% of 200$

Step-by-step explanation:

To find how much percent Jennie spent let's first find how much one percent of $200 is.

∴200/100=2

so one percent of 200 is 2

now let's find how much percent 30$ is of 200$

∴30/2=15

meaning that 30$ is 15% of 200$

Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

above sea level

Step-by-step explanation:

Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

Answer: Is it posibley ... André Bloch

Step-by-step explanation:

Due to not a lot of information on this question i had to improvis and i got this man who in fact was a mathmaticion that had comitted a murder. It may ot be war crimies but war crimes include murder so yea.

Answer:

There is no information or picture regarding the question

Answer:

The answer is "Option A".

Step-by-step explanation:

In this, the question is missing so, we assuming the missing question is this question, which is add in attach file. please find it.

Formula for line:

\(\to \bold{y= mx+ c}\)

\(\to m= slope \\\\\to c= y-intercept\)

In the question the slope "m= 3 and y= -2" so, the line is \(y= 3x+ (-2)\).

\(\to y= 3x-2\)

Answer:

Step-by-step explanation:

If you put all the numbers on the number line it would be, -4/3, -4/5, -2/3, 7/10, 7/10, so the correct answer is letter A.

The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

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