f(x)=4x^5-8x^4-5x^3+10x^2+x-2
Use the rational zero test to find all possible rational zeros of f, separate with commas if needed. I already tried (2x+1)(2x-1)(x+1)(x-1)(x-2) and WebAssign says it’s incorrect.

Answers

Answer 1

Answer:

-1; -1/2; 1/2; 1; 2          or    factors of -2 are -1, 2, 1, -2

factors of 4 are 1, 4, 2, -1, -4, -2

possible zeros are -1, 1, 1/2, -1/2

try 1

Step-by-step explanation:


Related Questions

Julio and Marisol are selling magazines for a band fundraiser. So far, Julio has sold $150.67 worth, and Marisol has sold $175.65. If their goal is to sell a total of $500.00, then the total amount they still need to sell is $ ________ what is it .

Answers

$173.68 is the total amount Julio and Marisol still need to sell

Given that Julio and Marisol are selling magazines for a band fundraiser

Julio has sold $150.67 worth, and Marisol has sold $175.65.

We have to find  the total amount they still need to sell to reach the goal of

$500.00

To find the total amount Julio and Marisol still need to sell

we subtract the amount they have already sold from their goal of $500.00.

Total amount they still need to sell = $500.00 - ($150.67 + $175.65)

= $500.00 - $326.32

= $173.68

Therefore, the total amount Julio and Marisol still need to sell is $173.68.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

2. Recall the 7 bridge problem you studied in this lesson. As you
saw, there was no possible path which uses each bridge once
and only once. This is because there were more than two dots
which had three lines connected to them.
Can you add a single bridge so that there is a path which
uses each bridge once and only once? Give one example
and indicate what points you have to use for your starting
and stopping point.

Answers

There is no possible way that you can add a single bridge so that there is a path that uses each bridge once and only once.

Hence, the answer is no solution.

What is the seven bridge problem?

The seven bridges problem was seven bridges linking the various land masses of the town of Königsberg which straddles the Pregel River and that contained two islands.

The challenge was coming up with a route through the city that would only cross each of those bridges once. blatantly inappropriate. Euler demonstrated that the issue cannot be solved.

Learn more about the seven bridges problem at: https://brainly.com/question/12948336

#SPJ1

Jayden's family took a road trip to the Grand Canyon. Jayden fell asleep 15% of the way through the trip. If the total length of the trip was 1000 miles, how many miles had they travelled when Jayden fell asleep?

Answers

Answer:

150 miles

Step-by-step explanation:

15÷100×1000=150

A doctor told his patient to drink 2 full cups and 2/4 a cup of medicine over a week. If each full cup was 2 ⅖ pints, how much is he going to drink over the week? ​

Answers

Answer:

6 pints

Step-by-step explanation:

2 2/5 x 2 = 24/5

2 2/5 x 2/4 = 6/5

6/5 + 24/5 = 6

Therefore, the patient will drink 6 pints over the week.

I hope this helped! :)



Suppose n balls are distributed randomly into n compartments.

What is the probability that m balls will fall into the first compartment? Assume all the n arrangements are equally like.

Answers

The probability that m balls is P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n).

The total number of possible arrangements of distributing n balls into n compartments is given by n^n. Each ball has n choices for which compartment to fall into, and since there are n balls, we multiply n by itself n times.

Now, let's consider the number of ways m balls can fall into the first compartment. We can choose m balls out of the n balls to go into the first compartment in nCm ways, which is the binomial coefficient.

The remaining (n-m) balls can go into any of the remaining (n-1) compartments in (n-1)^(n-m) ways. Therefore, the probability that m balls will fall into the first compartment is given by:

P(m balls in first compartment) = (nCm) * ((n-1)^(n-m)) / (n^n)

This formula calculates the ratio of favorable outcomes (m balls in the first compartment) to the total number of possible outcomes (all possible arrangements of distributing n balls into n compartments).

To know more about probability refer here:

https://brainly.com/question/31828911

#SPJ11

 3092 Fans went to the Parkland Elementary school football game half of the Fans left the football game at 7 PM how many fans were left at the football game at 7 PM?

Answers

Answer:

1546

Step-by-step explanation:

just divide 3092 by 2

Rachael is putting up a fence around her pool. The pool has a diameter of 12 ft. There is a sidewalk around the pool that extends 3 feet out from the side of the pool. How many feet of fencing will she need to go around the sidewalk?

Answers

Answer:

9ft

Step-by-step explanation:

Alex and James both have a bag of marbles.
* Alex's bag has 10 red marbles and 10 blue marbles.
James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.
They each take a marble out of their bag without looking.
Select the statements that are correct:
-
A - They both have the same probability of picking a blue marble.
B - The probability of Alex picking a red marble is 50%.
C - They both have the same probability of picking a red marble.
D - The probability of James picking a green marble is 5%.
E - James has a higher chance of picking a red marble than Alex.

Answers

Answer:

[B] The probability of Alex picking a red marble is 50%.

[C] They both have the same probability of picking a red marble.

Step-by-step explanation:

Given;

Alex and James both have a bag of marbles.

Alex's bag has 10 red marbles and 10 blue marbles.

James's bag has 15 red marbles, 10 blue marbles and 5 green marbles.

They each take a marble out of their bag without looking.

Solve;

Alex have 10 Blue marbles so 10 out of 20 are Blue.

James has 10 Blue Marbles so 10 out of 30 are Blue.

Hence, [A] They both have the same probability of picking a blue marble.

is False.

Alex have 10 red and 10 blue which 10 = 10

thus, [B] The probability of Alex picking a red marble is 50%.

Alex's have 10 red marbles and James's have 15 red marbles.

10 out of 20 of them are red. Thus, that 50%

15 out of 30 of them are red. Thus, that 50%

50%  = 50%

Hence, [C] They both have the same probability of picking a red marble.

is true.

James have 15 red, 10 Blue, 5 Green marbles.

15 + 10 + 5 =30 [ Total ]

5 out of 30 is Green

5/30 = 0.16666666666

Round = 16.67%

Hence, [D]  The probability of James picking a green marble is 5%.

is False.

15 out of 30 and 10 out of 20

15/30 = 50% and 10/20 = 50%

Thus, [E] James has a higher chance of picking a red marble than Alex.

is False.

~Learn with Lenvy~

Select the statements that are correct:

A - They both have the same probability of picking a blue marble. [ x ]

B - The probability of Alex picking a red marble is 50%. [✓]

C - They both have the same probability of picking a red marble. [✓]

D - The probability of James picking a green marble is 5%. [x]

E - James has a higher chance of picking a red marble than Alex. [x]

We know that ,

\(probability \: \% = \frac{favourable \: outcomes}{total \: outcomes} \times 100 \\ \)

Alex has

10 red marbles

\( \frac{10}{20} \times 100 = 50\% \\ \)

10 blue marbles

\( \frac{10}{20} \times 100 = 50\% \\ \)

James has

15 red marbles

\( \frac{15}{30} \times 100 = 50\% \\ \)

10 blue marbles

\( \frac{10}{30} \times 100 = 33.33\% \\ \)

5 green marbles

\( \frac{5}{30} \times 100 = 16.66\% \\ \)

Could somebody help me on this one. Due in 3 min

Could somebody help me on this one. Due in 3 min

Answers

Answer:

The 5th term in the sequence is 19

Step-by-step explanation:

Simplify this expression.
–6w + (–8.3) + 1.5+ (–7w)

Answers

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

What is the simplified form of the expression?

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

- × + = -- × - = ++ × + = +

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

Learn more about expressions here: https://brainly.com/question/28959918

#SPJ1

please help me with these three questions, i'll give brainliest

please help me with these three questions, i'll give brainliest

Answers

Answer:

The result would be 0 (zero)

Step-by-step explanation:

Okay so it is kind of difficult to explain with words but I will try to make it simple, so you could start with each number first.

What I mean by that is graph it like it says first, starting with -9 and then go four spaces to the right and then five more spaces to the right.

Next, Start four spaces to the right then go five more spaces right and then go nine spaces to the left.

And lastly, start five spaces to the right and go nine spaces to the left and then go four spaces to the right. H

Hopefully this is what you were looking for!

List the positive factors for 20 and separate each by comma​

Answers

Answer:  20 = 1 x 20, 2 x 10, or 4 x 5. Factors of 20: 1, 2, 4, 5, 10, 20. Prime factorization: 20 = 2 x 2 x 5, which can also be written 20 = 2² x 5.

Step-by-step explanation:

in algebra, we use a (n) ____ to repersent a variable

Answers

Answer:

we use letters in algebra to represent unknown variables

Step-by-step explanation:

Answer:

letter

Step-by-step explanation:

I'm am like, really serious. WHO THE FREAK IS JOE?

Answers

Answer: My momma of course

Step-by-step explanation:

a red die and a blue die are tossed. what is the probability that the red die shows a three and the blue die shows a number greater than three?

Answers

The probability that the red die shows a three and the blue die shows a number greater than three is 1/12

How to determine the probability of a three and and a number greater than three?

From the question, we have the following parameters that can be used in our computation:

Red die

Blue die

The sample space of a die is

{1, 2, 3, 4, 5, 6}

using the above as a guide, we have the following:

P(3) = 1/6

P(Greater than 3) = 1/2

So, we have

P = 1/2 * 1/6

Evaluate

P = 1/12

Hence, the probability of a three and and a number greater than three is 1/12

Read more abot probability at

https://brainly.com/question/31649379

#SPJ1

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!

Water Cycle Diagram
Label the diagram using the following tags: precipitation, sun, evaporation, clouds, condensation, water

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS

Answers

Answer: #4 = precipitation

               #3 = evaporation

           #2 clouds

           #1= sun

         #5= water

     

Step-by-step explanation:

Answer:

1: sun

2: clouds

3: Evaporation

4: Precipitation

5: Water

Step-by-step explanation:

Can someone help me asap? It’s due today!! Show work! I will give brainliest if it’s correct and has work

Can someone help me asap? Its due today!! Show work! I will give brainliest if its correct and has work

Answers

Answer:

10 outcomes

Step-by-step explanation:

if 2 coins were selected with replacement=10×10=100

number of outcomes if 2 coins were selected without replacement=10×9=90

Finally, 100-90= 10 outcomes!

8. Explain the yield of the parse tree support your answer with example. (5 Marks) 9. Find a context Free Grammar for the following (i) The set of odd-length strings in \( \{a, b\} * \) (5 Marks) (ii)

Answers

The yield of a parse tree is the string obtained by reading the terminal symbols in the leaves of the tree from left to right.

Consider an example to illustrate the concept of yield in a parse tree. Let's take a simple context-free grammar with the following production rule:

S -> AB

A -> a

B -> b

Using this grammar, we can construct a parse tree for the string "ab" as follows:

       S

     /   \

    A     B

   /       \

  a         b

The yield of this parse tree is the string "ab". It is obtained by reading the terminal symbols from the leftmost leaf to the rightmost leaf, following the path in the parse tree.

The yield is an essential concept in parsing and language processing as it represents the final result or output obtained from parsing a given string using a context-free grammar. By examining the yield, we can analyze the structure and validity of the parsed string and gain insights into the underlying grammar's rules and productions.

to learn more about symbols click here:

brainly.com/question/30763849

#SPJ11

help me please , for 20 points

help me please , for 20 points

Answers

Answer:

A

Step-by-step explanation:

First off we can see that there are 46 pencils - and 7 students - so we can divide the two

46/7 is not a whole number, so we need to find a number that can be multiplied by 7, and is right below 46.

If you multiply 7 by 6, you get 42, which is the highest you can get with multiply by 7, which is also below 46.

Now that we know that each student gets 6 pencils, we need to find out how many are left.

We can do 46 (total pencils) minus 42 (pencils given) to get a leftover of 4 pencils, so the answer is A.

a researcher obtain a statistically significant r=-.91 when n=30. how would you report this?

Answers

A statistically significant negative correlation coefficient of r = -0.91 was obtained from a sample of n = 30. This indicates a strong and significant negative relationship between the variables.

The researcher conducted a correlation analysis and found a correlation coefficient (r) of -0.91, which indicates a strong negative relationship between the variables under investigation. The negative sign indicates that as one variable increases, the other variable tends to decrease, and vice versa.

The statistical significance of the correlation coefficient is crucial in determining whether the observed relationship is likely to be due to chance or if it truly exists in the population. In this case, the report should highlight that the obtained correlation coefficient is statistically significant.

To establish statistical significance, the researcher likely conducted a hypothesis test, such as a t-test or a permutation test, to determine the probability of obtaining a correlation coefficient as extreme as -0.91 under the null hypothesis of no correlation. Since the obtained correlation coefficient is statistically significant, it suggests that the observed negative relationship is unlikely to be a result of chance and provides evidence for a genuine association between the variables in the population from which the sample was drawn.

Reporting this finding is important for conveying the strength and significance of the negative relationship to the readers, providing valuable insights for further analysis and interpretation of the variables under investigation.

Learn more about correlation coefficient here:

https://brainly.com/question/29704223

#SPJ11

Which of the following accurately describes the chi-square test for independence?
It is similar to a single-sample t test because it uses one sample to test a hypothesis about one population.
It is similar to a correlation because it uses one sample to evaluate the relationship between two variables.
It is similar to an independent-measures t test because it uses separate samples to evaluate the difference between separate populations.
It is similar to both a correlation and an independent-measures t test because it can be used to evaluate a relationship between variables or a difference between populations.

Answers

Option C is the correct choice as it accurately describes the chi-square test for independence. The chi-square test for independence is used to determine if there is a relationship between two categorical variables. It is similar to neither a single-sample t test nor a correlation because it involves categorical variables, not continuous ones.

Option C
accurately describes the chi-square test for independence. It states that the test is similar to an independent-measures t test because it compares separate samples to evaluate the difference between separate populations.

The chi-square test for independence involves creating a contingency table that displays the observed frequencies of the two categorical variables. Then, it calculates the expected frequencies under the assumption of independence. The test compares the observed and expected frequencies using the chi-square statistic. If the observed frequencies significantly differ from the expected frequencies, we reject the null hypothesis and conclude that there is a relationship between the variables.

In contrast, options A, B, and D do not accurately describe the chi-square test for independence. Option A refers to a single-sample t test, which is not applicable to the chi-square test. Option B mentions a correlation, which assesses the relationship between continuous variables, not categorical ones. Option D combines elements of both a correlation and an independent-measures t test, which are not applicable to the chi-square test.

Therefore, option C is the correct choice as it accurately describes the chi-square test for independence.
To Know more about  chi-square test for independence Visit:

https://brainly.com/question/20226847

#SPJ11

Marcia and John are playing the following game: Marcia thinks of a fraction, and John flips a coin. If the coin turns up heads, Marcia multiplies the number she's thinking of by \($\frac{7}{8}$\). If the coin turns up tails, she multiplies the number she's thinking of by \($\frac{8}{7}$\). John flips the coin ten times, and after each flip Marcia multiplies the number in her head by either \($\frac{7}{8}$\) or \($\frac{8}{7}$\), depending on the coin flip. The ten coin flips turn out to be:\(\[\text{HHHTHTTTHH},\]\)where H means 'heads' and T means 'tails.' What number is Marcia thinking of at the end of the game if she starts out with the fraction \($\frac{1}{3}$\)?
Plz Hlp 4 HW

Answers

Using proportions, it is found that the number she is thinking at the end of the game is of \(\frac{49}{192}\).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 6 heads and 4 tails, hence:

She multiplies by 7/8 six times.She multiplies by 8/7 four times.

Hence the number she will be thinking is:

\(n = \frac{1}{3} \times \left(\frac{7}{8}\right)^6 \times \left(\frac{8}{7}\right)^4 = \frac{1}{3} \times \left(\frac{7}{8}\right)^2\)

\(n = \frac{49}{192}\)

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

96% of all air travel departs on time. If you are taking 3 flights in one day, what is the probability that all of them depart on time?

Answers

Answer:  0.884736

Step-by-step explanation:

Given: The proportion of all air travel departs on time: p= 0.96

Total flights : n= 3

Let x be the number of flights on time.

As there are two cases either flight on time or not, so it is a binomial case.

Binomial distribution formula: \(P(X=x)=\ ^nC_xp^x(1-p)^{n-x}\)

The probability that all of them depart on time = \(P(X=3)=\ ^3C_3(0.96)^3(1-0.96)^0=(1)(0.96)^3=0.884736\)

The probability that all of them depart on time = 0.884736

Help needed ASAP will give BRAINLIEST

Help needed ASAP will give BRAINLIEST

Answers

Answer:

I think that it is B

Step-by-step explanation:

Hope this helped you out! Have a great day!

You are scheduled to receive $15,500 in three years. When you receive it it for seven more years at 9 percent per year. How much will you have in not round intermediate calculations and round your answer to 2 decin 32.16.) to receive $15,500 in three years. When you receive it, you will invest years at 9 percent per year. How much will you have in ten years? (Do ediate calculations and round your answer to 2 decimal places, e.g., Future value

Answers

After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

For more such question on years visit:

https://brainly.com/question/25720319

#SPJ8

what is Evaluating the features of two similar products is called

Answers

Answer:

Comparison shopping

Step-by-step explanation:

Due to the the difference in prices of high value goods from retailers, consumers usually find it difficult making a decision on the goods to buy. Thus, they do what we call comparison shopping whereby they attempt to compare prices and features of many similar products from different retailers before before they take a decision on what product to buy.

A family with 4 adults and 3 children spends 47 for movie tickets at the theater. Another family with 2 adults and 4 children spends 36 . What is the price of a child's ticket in dollars?

Answers

Answer:

The price of a child ticket in dollars $8.00

Step-by-step explanation:

Given the relationship "10 arms for every 8 eyes", if there are 12 eyes, how many arms are there?

Answers

Answer:

18 arms

Step-by-step explanation:

12÷8=1.8

10×1.8=18

what is the answer what is the answer what is the step by step answer to learn to do it

what is the answer what is the answer what is the step by step answer to learn to do it

Answers

Answer: 1.01% sale tax.

Step-by-step explanation:

First you must take your tax price before and the tax price after and divide them. This gets you 1.01.

To be sure this is your answer you can multiply the 1.01% by 53 and it gives you 53.53$ (If you don't understand I suggest looking at a video from khan academy they explain things much better than I do.)

Hope that helped in some way :)

i need help with this

i need help with this

Answers

Answer:of not

Step-by-step explanation: ops

Other Questions
on january 1, 2020, chamberlain corporation pays $550,000 for a 60 percent ownership in neville. annual excess fair-value amortization of $16,400 results from the acquisition. on december 31, 2021, neville reports revenues of $475,000 and expenses of $330,000 and chamberlain reports revenues of $782,000 and expenses of $444,000. the parent figures contain no income from the subsidiary. what is consolidated net income attributable to chamberlain corporation? Which Information Systems (IS) career oversees integrating different technologies and systems within an organization how many molecules of water are in 1.8 moles of water An airplane has a mass of 2.510^6 kg , and the air flows past the lower surface of the wings at 80 m/s .If the wings have a surface area of 1600 m2 , how fast must the air flow over the upper surface of the wing if the plane is to stay in the air? KINDLY ATTEMPT ALL THE QUESTION REACHING THE WORD LIMIT URGENT. (a) With the help of an example, discuss how a firm can develop an effective positioning strategy. 400 words(b) How can a company identify and correct the service quality problems? Explain one of the tools/techniques to measure service quality.500 words(c)A 10year old rental car company recently recruited some fresh marketing graduates from a reputed university. One of the graduates, Ross Bing is placed in the team working on the strategy for building customer loyalty. He is very keen to discuss and apply all the concepts studied in the University. What recommendations you think he would give to the company?600 words Who wants wallpaper? Only 2-3 people! Jeff Resnick, vice president of operations at Choice Bank, is estimating the aggregate DEAR of the bank's portfolio of assets consisting of loans (L.). foreign currencies (FX), and common stock (EQ). The individual DEARs are $300,700, $274.000, and $126,700 respectively. If the correlation coefficients (pi) between L and FX. L and EQ, and FX and EQ are 0.3, 0.7, and 0.0 respectively, what is the DEAR of the aggregate portfolio? CAN I PLEASE HAVE HELP NOW ASAP Which point in the table does not lie on the same lie on the same lineas the other three points?1, -1.52, 0.5 5, 7.5 6, 8.5 Pls answer fast, I thank u am for seeing this problem! (05.01 MC)Which statement best describes the area of Triangle ABC shown below?(5 points)Question 2 options:1) It is twice the area of a square of side length 4 units.2) It is one-half the area of a square of side length 4 units.3) It is twice the area of a rectangle with sides 4 units 3 units.4) It is one-half the area of a rectangle with sides 4 units 3 units. how to save the template you just made for fl studio as your main template when you launch fl studio Troy (single) purchased a home in Hopkinton, Massachusetts, on January 1, 2007, for $245,000. He sold the home on January 1, 2022, for $272,500. How much gain must Troy recognize on his home sale in each of the following alternative situations? Note: Leave no answer blank. Enter zero if applicable. Troy rented out the home from January 1, 2007, through December 31, 2017. He lived in the home as his principal residence from January 1, 2018, through December 31, 2018. He rented out the home from January 1, 2019, through December 31, 2019, and lived in the home as his principal residence from January 1, 2020, through the date of the sale. Assume accumulated depreciation on the home at the time of sale was $0. Note: Do not round intermediate calculations. Round your final answer to the nearest whole dollar amount. Recognized gain ____ what is the most obvious difference between debt and equity financing? The diameter of a round rug is 42 inches. What is the approximate area of the rug? In her dream Aditi ate the worlds largest pizza. a client has experienced high blood pressure and crackles in the lungs during previous blood transfusions. the client asks the nurse whether it is safe to receive another transfusion. the nurse explains that which medication most likely will be prescribed before the transfusion is begun? the eastern terai is cooler than the western one. why? as discussed in the textbook, disruptive innovations are more likely to come from large corporations with extensive resources. true or false if there are 42 dogs and 24 cats at a pet daycare, fill out all of the possible ratios of dogs to cats that could be made. there are 24 dogs for every 42 cats (24:42 ratio), there are ___ dogs for every ___ cars try. typr in an equivalent ratio of dogs and cat pls help free 16 points up for grab