MATHEMATICS MIDDLE SCHOOL

Jack wants to bike from his house to Jill's house, which is located three blocks east and two blocks north of Jack's house. After biking each block, Jack can continue either east or north, but he needs to avoid a dangerous intersection one block east and one block north of his house. In how many ways can he reach Jill's house by biking a total of five blocks?

Answers

Answer 1
Answer: 2 x 3= 6 There are a total of 5 x 2=10 paths, so there are 10- 6= 4 paths possible.  

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Please helpUse p(x)=x^2+4x+9. Find a polynomial r(x) such that p(x)+r(x)=2x^2-6x+14.

Find a polynomial s(x) such that p(x)+s(x)=2x^2+14

Find a polynomial t(x) such that p(x) + t(x) has degree 2 and p(x) * t(x) has degree 3.

Answers

Okay if you really want it simple, the answer for part C is many solutions for both such that a has a degree of 3 for p(x)•t(x) and a also has a degree of 2 for p(x)+t(x). And it a does not equal zero. I listed two examples on there. Please take a look and let me know if you have questions

What is the debate among scientists on how new species form?

Answers

Answer:

read explanation

Step-by-step explanation:

Like most areas of Evolutionary Biology, research related to the formation of new species - 'speciation ' - is rich in historical and current debate.

Final answer:

Scientists have different models explaining how new species form. This includes 'Gradual Speciation' and 'Punctuated Equilibrium' models which describe the pace of speciation. Additionally, they consider 'allopatric' and 'sympatric' speciation describing the mechanisms of speciation.

Explanation:

The debate among scientists on how new species form revolves around different models and patterns observed in nature. Two main models of speciation that scientists explore are the 'Gradual Speciation' model and the 'Punctuated Equilibrium' model.

Gradual Speciation proposes that species evolve slowly over an extended period due to slight genetic changes from generation to generation. On the other hand, Punctuated Equilibrium suggests that species remain unchanged for many generations and then undergo rapid changes to form new species in a relatively short period.

Another aspect of the debate involves the mechanisms of speciation, including 'allopatric' and 'sympatric' speciation. Allopatric speciation involves a geographical separation of populations from a parent species and subsequent evolution, while Sympatric speciation is speciation that occurs within a parent species while in one location.

Learn more about Speciation here:

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Camilla has a cat that weights 3 pounds her friend Kayla has a dog that weights 9 pounds who pet weights more

Answers

Kayla's dog weights more because 9 is a bigger number than 3. So if you subtract 9 - 3 you get 6. So Kayla's dog weights 6 more pound than Camilla's cat.

The recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg. A serving of a juice drink contains 60% of the recommended amount. How much vitamin C does the juice drink contain?THE BEST ANSWER WOULD GET 20 POINTS

Answers

Answer:

The juice drink contains 27mg of vitamin C.

Step-by-step explanation:

Since the recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg, and a serving of a juice drink contains 60% of the recommended amount, in order to know how much vitamin C does it contain we have to do the following calculation:

45 / 100 x 60 = Vitamin C contained by the juice drink

0.45 x 60 = Vitamin C contained by the juice drink

27 = Vitamin C contained by the juice drink

The juice drink contains 27mg of vitamin C.
So basically, you have to find 60% of 45. You do this by multiplying 45 and 0.6. 0.6 because you have to move the decimal point twice. after multiplying, you would get an answer of 27 and the answer is 27 mg

List the first 3 common multiples of 2 and 3 , 3 and 6

Answers


The smallest 3 common multiples of  2  and  3  are  6,  12,  and  18 .

The smallest 3 common multiples of  3  and  6  are also  6,  12,  and  18 .
2 and 3 
6,12,18
3 and 6
6,12 and 18
i think

What number is in the hundredths place in 3.86

Answers

The 6 is in th hundredths place
it goes like this

hundreds tens ones . tens hundredths thousandths
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