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Given that Jack was 34 years old when his son Phillip was born. The sum of their age is now 50 years.

Let a be the present age of Jack's son.

The present age of jack is a+34

The sum of their age is 50.

The present age of Jack's son is 8 years.

The present age of Jack =8+34=42 years.

The present age of Jack is 42 years and his son's age is 8 years.

Answer:

$212.55

Step-by-step explanation:

hope it helps and give brainliest

Answer:

165

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

0.75 .................

Answer: 39

Step-by-step explanation:

When a recipient not-for-profit entity receives a gift for transfer to another charitable entity, it records it as revenue upon receipt.

If the donor retains the right to revoke or redirect the gift, it's recognized as a "Contribution Receivable" liability until the restrictions lapse or are fulfilled. Consult accountants for proper accounting.

When a recipient not-for-profit entity receives a gift that will be transferred without restriction to another charitable entity,

The accounting treatment typically involves two steps:

Recognition on Receipt:

The recipient not-for-profit entity should recognize the gift as revenue or contribution in its financial records upon receipt.

This is because the organization has legal control and possession of the gift, even if it intends to transfer it to another charitable entity.

The accounting entry will depend on the nature of the gift received ( cash, securities, in-kind donation).

Classification as a "Contribution to be Transferred":

The second step involves classifying the received gift as a "Contribution to be Transferred" on the recipient's balance sheet.

This classification reflects that the entity intends to pass the gift along to another charitable entity

and that the funds are not restricted for use within the recipient organization.

If the donor retains the right to revoke or redirect the gift,

The recipient not-for-profit entity should follow the guidelines for recognizing contributions subject to donor restrictions.

Until the restrictions lapse or are fulfilled, the contribution should be recorded as a liability ( "Contribution Receivable").

Accounting for contributions with donor-imposed restrictions can be complex,

and the specific treatment will depend on the terms of the gift and applicable accounting standards.

It's essential for the not-for-profit organization to consult with its accountants

or financial advisors to ensure compliance with relevant accounting principles and reporting requirements.

Also, it's important to note that accounting standards and regulations may vary across different countries or regions,

so organizations should adhere to the accounting principles applicable in their specific jurisdiction.

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Answer:

The opposite of 15

I hope this helps!

Answer:

4/9 = 1/2 x

Step-by-step explanation:  2.84 sands

The individual that will be paying the most for their purchase is: B.edgar paid with a credit card and paid the minimum payment each month

The individual that will pay the most according to the data provided is Edgar. Edgar's payment is spread out to the longest length of time. So, he will have to pay the added dues for extending his payment.

Usually, the person who pays cash pays the least amount while the person who pays in installments is charged for additional time spent in making the payment.

Complete Question:

Each of the following people bought a watch that costs $300. Which of the following people will pay the most for their purchase A.Sarah paid cash B.edgar paid with a credit card and paid the minimum payment each month C.susan paid with a credit card and paid the minimum payment plus 30 each month D. Sean paid with a credit card and paid the full balance the first of the month

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Three important events for prisoners' rights are Jones v. Cunningham in 1963, Cooper v. Pate in 1964 and Furman v. Georgia in 1972 because due to all of these legal cases prisoners were provided with basic rights and protections.

This was an important court case in which the habeas corpus right was ratified, which means prisoners can report if their detention was unlawful.

This was an important court case through which it was stablished prisoners can sue if the imprisonment conditions are cruel.

This was also an important court case through which it was determined death penalty was unconstitutional as it was considered a cruel punishment.

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The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.

Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:

Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.

Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.

Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.

Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.

However, mathematical models also have limitations and potential disadvantages:

Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.

Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.

Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.

Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:

Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.

Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.

Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.

Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.

Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.

These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.

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The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer: $292.30

Step-by-step explanation:

Answer:

The probability of Trista choosing a blue slope is 6/22 or 3/11.

Step-by-step explanation:

Lets go through each statement and check if it is correct.

#1: Incorrect. The probability of Trista choosing a blue slope is 6/22 or 3/11.

#2: Correct. Trista is more likely to choose a black slope than a double black slope.

#3: Correct. Trista is 2 times more likely to choose a blue slope than double black.

Martina will have approximately $3582.72 in her investment account after 2 years.


To calculate the final amount Martina will have in her investment account after 2 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = final amount

P = principal amount (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = number of years

In this case, Martina invested $3500, the annual interest rate is 1.15% (or 0.0115 as a decimal), and the interest is compounded annually. She invested for 2 years.

Plugging these values into the formula, we get:

A = 3500(1 + 0.0115/1)^(1*2)

Simplifying the exponent, we have:

A = 3500(1.0115)^2

Calculating the expression inside the parentheses, we get:

A = 3500(1.02363225)

Multiplying the principal amount by the calculated factor, we have:

A ≈ 3582.72

Rounding this amount to the nearest cent, Martina will have approximately $3582.72 in her investment account after 2 years.

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The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

under what topic is this?

Answer:

a=2

Step-by-step explanation:

a=b+5

b=a−5

Answer:  A = 4, B = -1

Step-by-step explanation: First, you write the equation out and substitute in a - 5 for b. Then you distribute the 3 to the a and the -5 to get "2a + 3a - 15". Then you add the 15 to both sides, and add the 2a and the 3a to get "5a = 20" Then you multiply by 5 to get a = 4. And if you're trying to find b you just do 4 - 5 to get -1.

Answer:

same here too much ppl dieing

Step-by-step explanation:

The area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

the angle of the sector = 70°

the radius = 8 ft

hence the area of the sector is calculated as follows:

(70°/360°) × 22/7 × 8 in × 8 in

we simplify by division and multiplication

1/36 × 22 × 64 in²

352 in²/9

39.1111 in²

Therefore, the area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

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Answer:

sqrt y^b = y^b/2

or

y^-b = 1/y^b

Step-by-step explanation:

Answer:

y^-b = 1/y^b

Step-by-step explanation:

mark brainliest pls

Answer: There are no real solutions

Answer:

About -3.5

Step-by-step explanation:

x^2 - 2^2 = -16

x^2 - 4 = -16

x^2 = -12

x = the square root of -12

x is about - 3.5

9514 1404 393

Answer:

  x = 16

Step-by-step explanation:

"Solve algebraically" means "solve it using the rules of algebra." You could also solve it by guessing, or by graphing, or by submitting the equation to a machine solver (calculator, app, or web site).

__

To solve for x, undo what has been done to x. The expression on the right shows that x has 2 added, and the sum is divided by 3. We "undo" these operations in reverse order.

undo divide by 3

Multiplication is the inverse operation for division, so we want to multiply both sides of the equation by 3:

  3(6) = 3(x +2)/3

  18 = x +2

undo add 2

Subtraction is the inverse operation for addition, so we want to subtract 2 from both sides of the equation:

  18 -2 = x +2 -2

  16 = x

The value of x that makes this equation true is x = 16.

Answer:

15 hours

Step-by-step explanation:

24 hours= 1 day

11 times 24 = 264

264 + 21 =285

285 dived by 19 = 15

each rider rode 15 hours