Select the correct answer. ethel is arranging rides so that 27 members of her club can go bowling. some people can ride in a van that belongs to the center where they meet. the rest must ride in cars. if 12 can go in the van, and 5 can go in each car, how many cars will they need? a. 3 cars b. 5 cars c. 7 cars d. 9 cars

Considering the graph attached. The correct statement about the function is C The y intercept is at (0, 71), and 71 is the starting temperature

Information gotten from the question include

The graph of a linear function showing the temperature variation in degrees Fahrenheit of a given day

A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

Definition of variables to suit the the temperature variation in degrees Fahrenheit of a given day

y = temperature in degrees Fahrenheit

m = slope of the graph

x = time in hours

c = The temperature at x = 0 which is the starting temperature

The question is asking about the y intercept and this the value of y at

x = 0

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The problem involves the categorization of gears produced by a grinding process into conforming, degraded, or scrap. The percentages of gears falling into each category are provided. Let's calculate the probabilities

a) Probability of one or more gears being scrap:

To find this probability, we can use the complement rule. The probability of no gears being scrap is the complement of one or more gears being scrap. Therefore, the probability can be calculated as 1 - P(no gears being scrap).

The probability of no gears being scrap is given by (1 - 0.12)^10 since the probability of each gear being conforming or degraded is 1 - 0.12 = 0.88. Evaluating this expression, we find that the probability of no gears being scrap is approximately 0.3157. Therefore, the probability of one or more gears being scrap is 1 - 0.3157 ≈ 0.6843.

b) Probability of eight or more gears not being scrap:

This probability can be calculated using the complement rule as well. The probability of eight or more gears not being scrap is equal to 1 minus the probability of eight or more gears being scrap.

The probability of eight or more gears being scrap is the sum of the probabilities of exactly 8, exactly 9, and exactly 10 gears being scrap. Each of these probabilities can be calculated using the binomial probability formula with p = 0.12 (probability of scrap) and q = 1 - p = 0.88 (probability of not scrap).

Using the binomial probability formula, we calculate the probabilities of exactly 8, 9, and 10 gears being scrap and sum them up. The result is approximately 0.0006. Therefore, the probability of eight or more gears not being scrap is 1 - 0.0006 ≈ 0.9994.

c) Probability of more than two gears being either degraded or scrap:

To find this probability, we need to calculate the probabilities of exactly 3, 4, 5, 6, 7, 8, 9, and 10 gears being degraded or scrap, and sum them up. Each of these probabilities can be calculated using the binomial probability formula with p = 0.13 + 0.12 = 0.25 (probability of degraded or scrap) and q = 1 - p = 0.75 (probability of not degraded or scrap).

After calculating the probabilities for each case, we sum them up to find the probability of more than two gears being either degraded or scrap, which is approximately 0.9379.

d) Probability of exactly nine gears being either conforming or degraded:

Using the binomial probability formula with p = 0.75 (probability of conforming or degraded) and q = 1 - p = 0.25 (probability of scrap), we calculate the probability of exactly nine gears being conforming or degraded. Similarly, using p = 0.12 (probability of scrap) and q = 1 - p = 0.88 (probability of not scrap), we calculate the probability of exactly nine gears being scrap.

Finally, we sum these two probabilities to find the probability of exactly nine gears being either

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Answer:

3x^2-15x

Step-by-step explanation:

3x(x-5)

3x^2-15x

Answer:

3^18

Step-by-step explanation:

\((3^6)^3\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0\\\left(3^6\right)^3=3^{6\times\:3}\\\\=3^{6\times\:3}\\\\=3^{18}\\\\=387420489\)

Answer:

C.  \(f(x)=(x+1)^2-4\)

Step-by-step explanation:

A. the graph is a straight line with slope 1.  It goes up/down infinitely far so the range is all real numbers.  Not A!

B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers.  Not B!

D. The graph is an absolute value function  y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units.  So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units.  The range is all real numbers less than or equal to -4.

See the attached graphs.  image2 is the function in answer choice D.

Answer:

6

Step-by-step explanation:

A=hbb/2=4·3/2=6

To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formula

or

The area of a triangle is the space enclosed within the three sides of a triangle. It is calculated with the help of various formulas depending on the type of triangle and is expressed in square units like, cm2, inches2, and so on.

Yes, we need financial accounting theory even if we are only interested in 'doing'.

Financial accounting theory provides a conceptual framework for financial accounting. It is an important tool that helps to understand the concepts and principles that guide financial accounting practice.Even if a person is only interested in doing financial accounting, they still need to have an understanding of the theory underlying the practice to make informed decisions.

Financial accounting theory explains the underlying assumptions and concepts that govern the practice of financial accounting. It provides a framework for understanding the principles of financial accounting, which can then be applied to real-world situations.

For example, if an individual is only interested in doing financial accounting for a small business, they still need to have an understanding of the accounting principles and concepts that guide the practice.

This knowledge will enable them to make informed decisions when recording financial transactions and preparing financial statements. Without an understanding of financial accounting theory, the person may make errors or misinterpretations that could lead to incorrect financial statements.

Financial accounting theory is essential even if one is only interested in 'doing' financial accounting. It provides the underlying principles and concepts that guide the practice of financial accounting, enabling individuals to make informed decisions when recording financial transactions and preparing financial statements.

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Step-by-step explanation:

x^2 + (4+3)X + 12

x^2 + 4x + 3X + 12

X (X + 4) + 3 ( X + 4)

( X + 3) (X +4)

Solving steps:

\(\sf \rightarrow x^2\:+\:7x\:+\:12\)

breakdown the following

\(\sf \rightarrow x^2\:+\:3x + 4x\:+\:12\)

break the expressions into groups

\(\sf \rightarrow \left(x^2+3x\right)+\left(4x+12\right)\)

factor the following

\(\rightarrow \sf x\left(x+3\right)+4\left(x+3\right)\)

factor the common term: (x+3)

\(\rightarrow \sf \left(x+3\right)\left(x+4\right)\)

The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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Saddle points are critical point that the function didn't in local maximum points nor in a local minimum position. Saddle pointly mostly happen in the multivariable functions. In simple, saddle point is everything on the function accept the local maxima and minimum maxima. The proof what is the saddle shown in the picture. As you can see, the curve besides local maxima and minimum maxima is create an area like a saddle, thats why its called saddle point.

Saddle point availability can be calculate by this logic: lets say we have r = f(q, w), then the point (q, w, r) is told to be a saddle point if each derivatives fq(q, w) and fw(q, w) subside,and f  is not in any local maximum or local minima value at (x, y).

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Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

The vertex is (9,5) an area = 85  in²

Hence option C is correct.

Given vertices of rectangular flag is

A(4, 5), B(4, −12) and C(9, −12)

Let the fourth vertex be D(x, y)

Since x coordinate of A and B are same

So length AB = 17

Since it is rectangle then

length CD = 17

Therefore y = 17 - 12 = 5

Since X coordinate of C is 9 theretofore x = 9

Thus vertex D be (9,5)

So length of rectangle = 17

And breadth of rectangle = 9 - 4 = 5 from vertex A and D

Thus area of rectangle = 17 x 5  = 85 in²

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Step-by-step explanation:

1)  Total rectangle area =  W x H = 12 x 8 = 96 cm^2

 area of triangle (shaded portion) = 1/2 base * height = 1/2 * 7 x 8 = 28 cm^2

              Nonshaded portion = 96 - 28 cm^2 = 68 cm^2

          ratio shaded:nonshaded is then   28 : 68 = 7:17

2)   Look at the two middle triangles :  Height of each = 8 cm

       then reading across the diagram  height + base + height = 21 cm

            so base = 5 cm

   area of ONE triangle = 1/2 * base * height = 1/2 * 5 * 8 = 20 cm^2

        total area for FOUR of them  = 80 cm^2

Answer:

Step-by-step explanation:

You need to KNOW this to pass....you don't need someone to give you the answer to pass.....THAT is not YOU passing.....

 What have you attempted so far ?

Answer:

20

Step-by-step explanation:

Answer:

-3x + 9

Step-by-step explanation:

The maximum utility obtained is $-1002.60 daily dollars.

Total daily cost (C) of producing x units of A and y units of B is given by;

C(x, y) = 1500 - 7.5x - 15y - 0.3xy + 0.3x² + 0.2y²

If the firm sells each unit of A for $18 and each unit of B for $10, then;

Profit (P) = Revenue - Cost

Where, Revenue = Selling Price * Number of units

So, for the product A, Revenue will be 18x and for the product B, Revenue will be 10y.

So, the profit function can be written as;

P(x,y) = 18x + 10y - C(x,y)

P(x,y) = 18x + 10y - (1500 - 7.5x - 15y - 0.3xy + 0.3x² + 0.2y²)

P(x,y) = -0.3x² + 10.5x - 0.2y² + 25y - 1500 - 0.3xy

Here, we need to maximize profit;

∂P/∂x = -0.6x + 10.5 - 0.3y = 0 ...................... (1)

∂P/∂y = -0.4y + 25 - 0.3x = 0 ......................... (2)

From equation (1),

-0.6x + 10.5 - 0.3y = 0

-0.6x + 10.5 = 0.3y

y = -2x + 35

From equation (2),

-0.4y + 25 - 0.3x = 0

-0.4(-2x + 35) + 25 - 0.3x = 0

0.8x - 14 + 25 - 0.3x = 0

0.5x = 14

     x = 28

Substitute values,

y = -2x + 35,

y = 35 - 2(28)

y = -21

So, we have x = 28 and y = -21.

But negative value of y is not possible as it doesn't make sense to produce negative quantities.

Therefore, we ignore this solution.

So, the optimal production levels are x = 28 and y = 6.

Using these values in the profit function,

P(x,y) = -0.3x² + 10.5x - 0.2y² + 25y - 1500 - 0.3xy

P(28, 6) = $184.20

Therefore, the production levels of A and B that would maximize profits are 28 units of A and 6 units of B.

The maximum profit obtained is $184.20.To find the maximum utility obtained, we need to use the profit obtained above, which is $184.20 and subtract it from the total revenue.

Total Revenue = Revenue from A + Revenue from B

                         = (18 * 28) + (10 * 6)

                         = 528

Utility = Revenue - Total Daily Cost

         = 528 - 184.20 - 1345.80

         = $-1002.60.

Therefore, the maximum utility obtained is $-1002.60 daily dollars.

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Answer:

a² - b²

Step-by-step explanation:

We can recognize (a + b)(a - b) as a difference of squares.

Step 1: Write expression

(a + b)(a - b)

Step 2: FOIL (Expand)

a² - ab + ab - b²

Step 3: Combine like terms

a² - b²

To rewrite a division of fractions as a multiplication, flip the numerator and the denominator of the divisor:

Then, multiply the numerators and the denominators:

The GCF of 18 and 36 is 18. Then:

Therefore, the answer is:

The Weighted Average Cost of Capital (WACC) for Starbucks' new project can be determined by considering the subjective approach. To calculate the WACC, information such as the cost of equity and the cost of debt is required, along with their respective weights in the company's capital structure.

In this scenario, the given information only mentions Starbucks' overall WACC, which is 12%. However, to determine the WACC for the new project, additional details specific to the project, such as its risk profile and capital structure, are necessary. Without this specific information, it is not possible to calculate the WACC for the new project. The WACC is influenced by various factors, including the riskiness of the project, the expected return on equity and debt, and the proportion of equity and debt in the project's capital structure. Therefore, a comprehensive evaluation of the project's risk and financial structure is required to determine an accurate WACC for the new project.

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To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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Answer:

It is defiantly either C or D.

Step-by-step explanation:

It's not A because it has a period with means there is 2 sentences and not 1.

It's not B because it does not have multiple commas.

It might most likely be C because it has the most amount of commas.

If I'm wrong about C, than try D.

The total number of fish caught during the festival can be calculated by adding the number of fish caught for each value of n.

For example, if 10 contestants caught 4 fish, 5 caught 8 fish, 7 caught 10 fish, and 8 caught 7 fish, the total number of fish caught would be 104 + 58 + 710 + 87 = 330.

The argument states that the total number of fish caught during the Frostbite Falls Fishing Festival can be determined by adding the number of fish caught by each contestant.

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Answer:1,3,and 5

Step-by-step explanation:

Answer:

Inside

Step-by-step explanation:

Given equation of the Circle is ,

\(\sf\implies x^2 + y^2 = 25 \)

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

\(\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2\)

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

\(\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }\)

Here we can see that the distance of poiñt from centre is less than the radius.

Hence the point lies within the circle

As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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Answer:

JSHKAKSBKSBAK?

Step-by-step explanation:

Answer:

Total surface area

1) 46cm²

4) 304cm²

Step-by-step explanation:

1) First you need to work out each face on its own, opposites will be the same such as the front and back, top and bottom, side to side, because its a rectangle.

Formula : Base x height

Front/back : 5x3=15 and 15 =30 (added together)

top/bottom : 1x5= 5 and 5 = 10

side/side : 3x1= 3 and 3 = 6

30+10+6=46cm²

4) lets work out the easy ones first using the same formula from question 1 for one surface area but this is a trapezium, which is a irregular quadratical shape so the sides would most liky be different from each other except the front and back.

Top : 5x8=40

bottom : 3x10=30

right side : 12x8=96

Left side : 12x10=120

front/back= 12x3=36 / 2 = 18

Because if u added another side to make it a rectangle then divide by 2 would get the answer or 1/2 x base x height also works.

40+30+96+120+18=304cm²