The profits of Mr. Cash's company is represented by the equation 푃 푡 =−3푡 ) +18푡−4, where 푃(푡) is the amount of profit in hundreds of thousands of dollars and 푡 is the number of years of operation. He realizes his company is on the down turn and wishes to sell before he ends up in debt.

The square that must be cut from each corner of the cardboard to form a box with a volume of 189 cubic inches is 3 inches on each.

Four equal sides and four right angles make up the two-dimensional shape known as the square. It is one of the most prevalent geometric shapes. There are a variety of useful applications for squares, including constructing tiling, patterns, and grids.

Given:

Length = 15 - 2x

Width = 13 - 2x

So, volume = lwh

189 = (15- 2x) (13 -2x) x

189 = (195 - 30x - 26x + 4x²)x

195x -56x² + 4x³ = 189

4x³ - 56x² + 195x - 189 = 0

On solving the cubic equation we get

x= 1.69, 3 and 9.3

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The Intersection between set A and set B is empty (A ∩ B = ∅). The intersection between set B and set C is empty (B ∩ C = ∅). The intersection between set A and set C is also empty (A ∩ C = ∅).

Venn diagrams that illustrate the sets A, B, and C for the given conditions:

(a) Venn diagram for condition A:

_____       _____

  |     |     |     |

A  |     |  B  |  C  |

  |_____|_____|_____|

In this diagram, set A is completely separate from set B, indicated by the empty intersection (A ∩ B = ∅). Set A is a subset of set C, indicated by A ⊆ C. Set C does not intersect with set B (C ∩ B = ∅).

(b) Venn diagram for condition B:

___________

  |           |

A  |     B     |

  |___________|

    /         \

   /           \

  |             |

  |      C      |

  |_____________|

In this diagram, set A is a subset of set B (A ⊆ B). Set C is also a subset of set B (C ⊆ B). The intersection between set A and set C is empty (A ∩ C = ∅).

(c) Venn diagram for condition C:

   _______   _______

  |       | |       |

A  |   B   | |   C   |

  |_______| |_______|

In this diagram, the intersection between set A and set B is empty (A ∩ B = ∅). The intersection between set B and set C is empty (B ∩ C = ∅). The intersection between set A and set C is also empty (A ∩ C = ∅).

These Venn diagrams visually represent the relationships between sets A, B, and C based on the given conditions. The empty intersections indicate that the corresponding sets have no elements in common, while the subset relationships show the inclusion of one set within another.

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The range of children in these households is from 0 to 8, as those are the minimum and maximum values in the data set. The range indicates the spread of the data, and in this case, it shows that there is a wide range of children in Anmol's neighborhood, from households with no children to households with 8 children.

To find the range of children in Anmol's neighborhood, we need to identify the highest and lowest numbers in the data set and then subtract the lowest from the highest. Here's the step-by-step explanation:

1. Organize the data set: 0, 0, 2, 1, 2, 8, 3, 0, 0, 0, 2, 1, 2, 8, 3, 0, 0
2. Identify the highest number of children in a household: 8
3. Identify the lowest number of children in a household: 0
4. Subtract the lowest number from the highest number: 8 - 0

The range of children in the households in Anmol's neighborhood is 8.

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The linear model that represents the total cost of recording is f(x) = 75x + 50.

The initial fee is $50 for recording an album.

There is an additional cost per hour i.e. $75.

number of hours = x

Now based on the above information, the linear model should be f(x)=75x+50

Here 50 represent the initial fee i.e. equivalent to y-intercept

And, 75 represent the slope

Therefore we can conclude that the linear model that represents the total cost of recording is f(x) = 75x + 50.

Answer: \(4 \frac{4}{9}\)

Step-by-step explanation:

Answer:

She has earned $1980.90 in interest.

Step-by-step explanation:

Since we know that she deposited $3100 9 years ago, we know we have to find the amount of interest she gets per year times 9. So $3100*0.071 = $220.10 and then $220.1*9 = $1980.90. Therefore, she has earned $1980.90 in interest.

Answer:

The answer is 1980.9

Step-by-step explanation:

Formula is PxRxT

P=Princlple(Amount of money desposited)

R=Rate the rate in deciaml form. Example: 7.1=0.071

T=Time

SI=3100x0.071x9=1980.9

       P       R     T

The correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

What is property of similar triangle?

If the corresponding sides of two triangles have the same ratio and the corresponding angles are equal, then the triangles are similar.

They have parallel corresponding sides, and they have angles with the same measure.

hence, the correct statement is their corresponding sides have equal lengths, and the angle measures of triangle 2 are 0.25 times the corresponding angle measures of triangle 1.

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EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

Answer:

Applying the product rule of exponents, (a²c)³ = .

What is the Product Rule of Exponents?

When multiplying two numbers with the same base, their powers/exponents would be added.

For example, .

Given:

(a²c)³

Therefore:

(a²c)³ = (a²c)(a²c)(a²c)

(a²c)³ =

(a²c)³ =

Therefore, applying the product rule of exponents, (a²c)³ = .

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Step-by-step explanation:

The quadratic formula is

ax² + bx + c = 0

the roots are -6 , 4

(x +6) (x -4 )

x² - 4x + 6x -24

= x² +2x -24

We will need a sample size of 35 bluejay bills to make a 95% confidence interval estimate of the mean length with a margin of error of 0.6 inches.

We find the sample size required for a 95% confidence interval estimate with a margin of error of 0.6 inches. Here are the terms we need to consider:
Confidence interval:

A range of values within which we can be confident the true population parameter lies.
Margin of error:

The amount added or subtracted from the sample mean to create the confidence interval.
Standard deviation:

A measure of the dispersion of a set of values, denoted as σ.
Sample size:

The number of observations in the sample, denoted as n.
Z-score:

The number of standard deviations a value is away from the mean.
Now let's calculate the sample size, n:
Identify the values from the problem.
- Confidence level: 95%
- Margin of error (E): 0.6 inches
- Population standard deviation (σ): 3 inches.

Find the Z-score for a 95% confidence interval.
For a 95% confidence interval, the Z-score is 1.96 (you can find this value in a Z-score table or through online calculators).
Use the formula to calculate the sample size, n:
n = (Z * σ / E)²
n = (1.96 * 3 / 0.6)²
Calculate n:
n = (5.88)²
n ≈ 34.5744
Round up to the nearest whole number, since we can't have a fraction of a sample.
n ≈ 35.

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The partition function of the given two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively, is \(1 + 2e^{-2K}\)

The partition function (Z) is defined as the sum of the Boltzmann factors over all the states available to a system, and can be expressed mathematically as,Z = Σ\(g_ie^{-Ei/kT}\) where Z represents the partition function, Ei represents the energy of state i, gi represents the degeneracy of state i, k represents the Boltzmann constant, and T represents the temperature of the system

In the above problem, we have a two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively.

The partition function Z is a fundamental quantity in statistical mechanics that encodes the thermodynamic properties of a system.

It can be expressed as the sum of the Boltzmann factors over all the states available to a system.In the given problem, we need to calculate the partition function at the same absolute temperature T.

For this, we need to plug in the values of energy and degeneracy into the equation of the partition function.

\(Z = g_1e^{0/kT} + g_2e^{-2KT/kT}\) Where Z is the partition function, g₁ and g₂ are the degeneracies of the two states with energies 0 and 2KT, respectively. And k is the Boltzmann constant. In this case, the two-state system at thermal equilibrium has energies of 0 and 2KT and degeneracies of 1 and 2, respectively.

Plugging in the values of g₁, g₂, E₁ and E₂ we get, \(Z = 1e^{0/kT} + 2e^{(-2K)}\)

= \(1 + 2e^{-2K}\)

Hence, the value of the partition function at the same absolute temperature T is \(1 + 2e^{-2K}\)

Therefore, the partition function of the given two-state system at thermal equilibrium having energies 0 and 2KT for which the degeneracies are 1 and 2, respectively, is \(1 + 2e^{-2K}\)

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A chronic cough and chest pain that Henry has developed as he worked for the restoration of old buildings due to exposure to volatile organic compounds asbestos ammonia are symptoms of an illness called Silicosis.

Silicosis is a long-term lung disease generated by inhaling large amounts of crystalline silica dust, generally over many years. Silica is a substance naturally formed in certain types of stone, rock, sand and clay. Working with these materials may develop a very fine dust which can be easily inhaled.

This illness generates when a construction worker breathes in silica particles, that can penetrate into the lungs and cause inflammation and scarring. In most cases, treatment for silicosis is focused at alleviating the symptoms, such as a chronic cough, shortness of breath, and chest pain.

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Answer:

ASA cannot be used because we are only given one angle that is congruent.

Step-by-step explanation:

Answer:

A number line with a closed circle on 25, with shading to the right.

Explanation:

A closed circle means "greater than or equal to" or "less than or equal to".

A open circle means "less than" or "greater than"

Therefore, since the question says: "who are at least 25 years old", a closed circle is the correct answer.

And says it says "at least 25 years old" it means that it shaded to the right, and that the circle is on the number 25.

Answer:

A number line with a closed circle on 25, with shading to the right.

Step-by-step explanation:

...

Answer:

For a general point (x, y), a reflection across the line x = a transforms the point into:

(a + (a - x), y) = (2a - x, y)

So if we first do a reflection across the line x = 1, the new point will be:

(2*1 - x, y) = (2 - x, y)

And if we now do a reflection across the line x = 3, the new point will be:

(2*3 - (2 - x), y) = (6 - 2 + x, y) = (4 + x, y)

Now that we have the general formula we can solve the question.

For the point (-5, 2)

The generated point after the reflections is:

(4 + (-5), 2) = (-1, 2)

For the point (-1, 5)

The generated point after the reflections is:

(4 + (-1), 5) = (3, 5)

For the point (0, 3)

The generated point after the reflections is:

(4 +0, 3) = (4, 3)

Answer:

To convert the weight of the pitaya seed from ounces to standard form, we need to express it in scientific notation.

Given: Weight of the pitaya seed = 1x10^(-3) ounces

In standard form, the weight can be written as a decimal number between 1 and 10 multiplied by a power of 10.

1x10^(-3) in standard form is 0.001.

Therefore, the weight of the pitaya seed in standard form is 0.001.

The weight of a pitaya, or dragon fruit, is given as 1x10^3 ounces in scientific notation, which converts to 1000 ounces in standard form.

Scientific notation is a concise way to express very large or small numbers, using powers of 10. In this case, the weight of a pitaya, represented as 1x10^3 ounces in scientific notation, can be easily converted into standard form. The exponent, 3 in this instance, indicates the number of places the decimal point should be moved. Therefore, an exponent of 3 means shifting the decimal point three places to the right. Consequently, the weight of the pitaya in standard form is 1000 ounces. This method provides a clear and efficient way to handle large numbers, making complex calculations and comparisons more manageable.

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Given table shows the counts of respondents of a survey that asked 1000 adults about their employment status and whether they owned stocks:

Employment Status Owning Stocks Not Owning Stocks Employed 400 300

Unemployed 50 250 Retired 150 100We have to complete the following parts:

a) How many of the respondents are unemployed or do not own any stocks?

b) If a respondent is chosen at random, what is the probability that the respondent owns stocks?

c) If a respondent is chosen at random, what is the probability that the respondent is retired and does not own stocks?d) If a respondent is chosen at random, what is the probability that the respondent is employed or retired?

e) If a respondent is chosen at random, what is the probability that the respondent is employed, given that the respondent does not own stocks?

Solution:

a) The total number of respondents who are unemployed or do not own any stocks is 50 + 250 + 100 = 400.

b) Probability that a respondent owns stocks = Number of respondents owning stocks / Total number of respondents= (400 + 50 + 150) / 1000= 0.6

c) Probability that a respondent is retired and does not own stocks= Number of retired respondents not owning stocks / Total number of respondents= 100 / 1000= 0.1

d) Probability that a respondent is employed or retired= (Number of employed respondents / Total number of respondents) + (Number of retired respondents / Total number of respondents)= (400 / 1000) + (150 / 1000)= 0.55

e) Probability that a respondent is employed, given that the respondent does not own stocks= (Number of employed respondents not owning stocks / Total number of respondents not owning stocks)= 300 / 350= 0.86

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Answer:

Solution:-

Step-by-step explanation:

given ,

mass (m) =2000kg

velocity (v) = 35m/s

now ,

momentum (p) = m×v

=2000×35

= 70000 kg . m/s .|

Answer:

P= 3500 kg*m/s

Step-by-step explanation:

m= 2,000 kg

v= 35 m/s

p= ?

p= (2,000 kg)(35 m/s)

p= 3500 kg*m/s

Step-by-step explanation:

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

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Answer:

112

Step-by-step explanation:

4x3 = 12, 12 x 4 = 48

4x4 = 16  

2 x 6 x 4 = 48

48 + 48 + 16 =  112

Answer:

R 1440

Step-by-step explanation:

Given:-

Principal Amount = R 12000

Time = 1 year

Rate = 12% pa

The Interest can be calculated using the following formula:-

Interest = (Principal Amount * Rate * Time) / 100

Substituting the respective values:-

Interest = (12000 * 12 * 1) / 100

Interest = 144000 / 100

Interest = R 1440

So, Sam will pay an interest of R 1440

The eigenvalues of this matrix are -12 and -9, both negative. Therefore, the critical point (0, -1) is a saddle point of f(x, y).

To determine the type of critical point (0, -1) for the function f(x, y) = x^3 + y^3 - 6x^2 - 3y - 5, we can use the second partial derivative test.

First, find the second partial derivatives:
f_xx = 6x - 12
f_yy = 6y
f_xy = f_yx = 0

Next, evaluate the second partial derivatives at the critical point (0, -1):
f_xx(0, -1) = -12
f_yy(0, -1) = -6
f_xy(0, -1) = 0

Now, compute the discriminant (D):
D = (f_xx * f_yy) - (f_xy * f_yx)
D = (-12 * -6) - (0 * 0)
D = 72

Since D > 0 and f_xx < 0, the point (0, -1) is a local maximum of f(x, y).

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NOT CONGREUNT!! There is no axiom to prove congruent.

Answer:

1 and 2/3 hours or 5/3 hours

Step-by-step explanation

1/3 of an hour would be 1/5 of the room so you would just make it 5/3 hours  and it'd be the whole room

Because the answer to X is a negative number, and negative numbers are needed for negative answers

Answer: because it won’t make sense if it was 74y it has to have an equation or expression.

Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.

all i know is that it would not be 13.9

Answer:

12in

Step-by-step explanation:

this is the only subject i'm good at in math XDDD.

Answer:

museum c

Step-by-step explanation:

to find this answer you must find the store in which it goes up by a constant  number each time

OR

their x to y ratio is always the same

in this case

this answer would be museums c as the x to y ratio is always 3 to 4

12 to 16 and 18 to 24 all equal 3 to 4

The ledger accounts for Concia Traders are given below:

Capital:

Opening Balance – R105,000

Drawings:

(5) R5,745

Land and Buildings:

(4) R64,065

Vehicles:

(2) R20,340

Equipment:

(2) R1,250

Trading Stock:

(4) R8,482

(5) R16,386

Cash:

(2) R450

Sales:

(4) R13,560

Cost of Sales:

A. Purchases (assume the missing value is for purchases since there is no other related account):

Rent Income:

(3) R5,000

Packing Material:

(4) R3,330

Trading License:

(4) R7,000

Stationery:

(4) R753

Water and Electricity:

(4) R414

Telephone:

(4) R577

(5) R1,334

(4) R994

Note that due to the missing transaction numbers and values in the provided data, this may have an effect on the precision of the ledger accounts. Nevertheless, I have done my best to create these ledger accounts with caution and accuracy.

To determine the selling price through applying a 50% markup on cost price, use this formula:

Selling Price = Cost Price + (Cost Price x Markup Percentage).

For example, if the cost price for an item is R100, then the selling price will be calculated as:

Selling Price = R100 + (R100 x 0.50) = R100 + R50 = R150.

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