a motorboat travels 432 kilometers on 6 hours going upstream and 384 km in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current.
please help slove and steps

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex].  [tex](m)/(d)=V[/tex] is an equivalent equation solved for [tex]V[/tex].

To find the equation equivalent to [tex]d= m/V[/tex] solved for [tex]V[/tex], we need to isolate [tex]V[/tex]on one side of the equation.

Given the equation [tex]d= m/V,[/tex] where [tex]d[/tex] represents density, [tex]m[/tex] represents mass, and [tex]V[/tex] represents volume.

To solve for [tex]V[/tex] , we can rearrange the equation:

[tex]d= m/V[/tex]

First, let's get rid of the fraction by multiplying both sides by [tex]V[/tex]:

[tex]d*V=m[/tex]

Now, to isolate [tex]V[/tex], we need to divide both sides by [tex]d[/tex]:

[tex]V= m/d[/tex]

So, the equivalent equation solved for [tex]V[/tex] is:

[tex]V= m/d[/tex]

​This corresponds to option C: [tex]m/d=V.[/tex]

COMPLETE QUESTION:

The equation [tex]d=(m)/(V)[/tex] can be used to calculate the density, [tex]d[/tex], of an object with mass, [tex]m[/tex], and volume, [tex]V[/tex]. Which is an equivalent equation solved for [tex]V[/tex]?

A. [tex]dm=V[/tex]

B. [tex](d)/(m)=V[/tex]

C. [tex](m)/(d)=V[/tex]

D. [tex]m-d=V[/tex]

Option: B is the correct answer.

B.  a line perpendicular to <-AB-> through point P.

We know that a line perpendicular to a given line is constructed as follows:

1)  Draw a line segment AB

2) Take a span of compass more than half the length of AB and keep the point of compass first at A and then at B to make a arc above AB.

3) Draw a straight line that passes through the intersection  of arc and line AB such that it meets AB at point P which will act as a midpoint of line AB.

       Hence, the correct option is:

                    Option: B

Answer: The outcomes appear to be equally likely, so a uniform probability model is a good model to represent the probabilities in Tyra's experiment.

Step-by-step explanation: Probability model, also known as Probability distribution, is a mathematical function that shows the probability of any outcome to occur in an experiment. When those probabilities of occurence  are the same for all possible outcomes, it is a uniform probability distribution.

For example, if you roll a fair dice, the probability of having the number 1 is 1/6; for 2 is also 1/6 and etc,

In Tyra's experiment, when the calculates the frequency of each number card,  the values are closer together. This means that the probability of taking a card with number 1 written on it is almost the same as taking a card with number 2 and so. In conclusion, Tyra's experiment is au uniform probability model.

The statement about Tyra's experiment is:The outcomes do not appear to be equally likely, so a uniform probability model is not a good model to represent the probabilities in Tyra's experiment.

In probability theory, a uniform probability model is one in which all outcomes in the sample space are equally likely to occur. This means that if there are n possible outcomes, the probability of each outcome is [tex]\( \frac{1}{n} \)[/tex].

In Tyra's experiment, she drew a card from a bag, recorded the number, and then replaced it before drawing again. This process is repeated 62 times, and she calculates the relative frequency of each number card. The relative frequency is the ratio of the number of times a particular outcome occurs to the total number of trials.

The given relative frequencies for outcomes 1 through 5 are as follows:

If the outcomes were equally likely, we would expect the relative frequencies to be the same for all outcomes, especially after a large number of trials like 62. However, the relative frequencies vary from 0.19 to 0.21, indicating that some outcomes are occurring more frequently than others.

Since the relative frequencies are not the same for all outcomes, we can conclude that the outcomes do not appear to be equally likely. Therefore, a uniform probability model, which assumes equal likelihood for all outcomes, would not be a good fit for Tyra's experiment. Instead, the probabilities in Tyra's experiment seem to be non-uniform, and a different probability model that accounts for the varying likelihoods of the outcomes would be more appropriate.

Answer:

option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.

Step-by-step explanation:

Retirement Accounts are suitable for getting regular income after retirement age. It helps in accumulating wealth for retirement by contributing small amounts in regular interval during employment. Its features are reduction in taxable income, employer matching, and contributions earning interest once deposited. Still there are some chances to pay taxes as per relevant income slabs.

Hence, option A is correct, i.e. "No need to pay taxes" is not a benefit of contributing to a retirement account.

The correct answer is A. No need to pay taxes is not a benefit of contributing to a retirement account.

Let's examine each option to understand why option A is the correct

A. No need to pay taxes: This statement is not entirely accurate. While some retirement accounts, like Traditional IRAs or 401(k)s, allow for tax-deferred contributions (meaning contributions are made with pre-tax dollars, which can lower your current taxable income), taxes are still due upon withdrawal in retirement. Roth IRAs, on the other hand, are funded with after-tax dollars, meaning there's no tax benefit upfront, but qualified withdrawals in retirement are tax-free. Therefore, the statement No need to pay taxes is misleading because taxes are either paid upfront or upon withdrawal, depending on the type of retirement account.

B. Reduction in taxable income: This is a benefit of contributing to certain types of retirement accounts, such as Traditional IRAs and 401(k)s. Contributions to these accounts are made with pre-tax dollars, which can reduce your taxable income for the year in which you contribute.

C. Employer matching: Many employers offer a matching contribution to employees who contribute to a retirement account, such as a 401(k). This is essentially free money and can significantly boost your retirement savings.

D. Contributions earning interest once deposited: Retirement accounts typically invest your contributions in various financial instruments, such as stocks, bonds, or mutual funds, which can earn interest, dividends, or capital gains over time. This compounding of returns is a key benefit of contributing to a retirement account, as it can lead to substantial growth of your savings over the long term.

Final answer:

To find the future price of milk after a 54% increase, multiply the current price by 1.54. For 2 gallons of milk costing $2.50 now, the future price will be $3.85.

Explanation:

To calculate the future price of milk after a 54% increase over 3 years, we first need to determine the percentage increase in decimal form and then apply it to the current price. An increase of 54% is equivalent to a multiplier of 1.54 in decimal form.

Therefore, if 2 gallons of milk currently cost $2.50, we calculate the future cost by multiplying $2.50 by 1.54.

Here's the calculation:

Convert the percentage increase to a decimal: 54% = 0.54.

Add 1 to the decimal to account for the total value after the increase: 1 + 0.54 = 1.54.

Multiply the current price of 2 gallons of milk by the increase factor: $2.50 x 1.54 = $3.85.

After a 54% increase, the price for 2 gallons of milk will be $3.85.

In order to find the reciprocal of a number, we should just flop it over.

If we're asked to find the reciprocal of a fraction, then the numerator & denominator of the fraction switch places.

If we're asked to find the reciprocal of an expression, then we also flop it over, like so:-

[tex]\pmb{u^2-s^2}\longmapsto\pmb{\displaystyle\frac{u^2-s^2}{1} }\longmapsto\pmb{\displaystyle\frac{1}{u^2-s^2} }[/tex]

Explanation of steps:-

First, I turned the expression into a fraction by adding a denominator of 1.

Then, I flopped it over and found the reciprocal.

Hence, the reciprocal of u²-s² is:-

[tex]\bigstar{\boxed{\pmb{\displaystyle\frac{1}{u^2s^2} }}}[/tex]

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

e^c=2

Step-by-step explanation:

Total parts in which a spinner is divided = 4

Each part is named as 1,2,3,4.→Total possible outcome when spinner gets in the motion.

When we toss a coin , total possible outcome = {H,T}

So, all the possible outcome when Rihana spins the spinner and tosses a coin = {H 1 , H 2, H 3 , H 4, T 1, T 2, T 3, T 4}=8

Answer:

that it c and it was is