Find the Greatest common factor of the numbers using lists of factors

8,12

Answers

Answer 1
Answer: The answer is 4 bc you can multiply 4 with both 8 and 12. I’m sorry but I’m bad at explaining but the answer is 4 :(

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Solve for:-9a = 27
please someone help!!!

Answers

Answer:

a = -3

:)))))))))))))))

Lydia and Adam are buildng a display of soup cans at the market where they work. the display is in the form of a square pyramid, with a base of 81 cans. They will continue making smaller layers until there is one can at the top. Adam is going to the stockroom to get the can they will need. a. How many layers will be in the display?

b. How many canse will Lydia and Adam use total?

Answers

Answer:

(a). 9 layers

(b). 285

Step-by-step explanation:

In the question,

The Square Pyramid is needed to be made from the cans.

The base of the pyramid has = 81 cans

So,

Side of the Square = s

So,

s^(2)=81\ns = 9

Therefore, the number of cans on one side of the square base = 9 cans

So,

The number of cans will be reducing by 1 in each layer upto the point we are left with only 1 can in the top.

So,

1st layer = 9 cans

2nd layer = 8 cans

3rd layer = 7 cans

4th layer = 6 cans

5th layer = 5 cans

6th layer = 4 cans

7th layer = 3 cans

8th layer = 2 cans

9th layer = 1 can

Number of layers are = 9

(b).

Total number of cans used by Lydia and Adam will be,

Sum of number of cans in all the layers.

Number\,of\,cans=9^(2)+8^(2)+7^(2)+6^(2)+5^(2)+4^(2)+3^(2)+2^(2)+1^(2)\nNumber\,of\,cans=81+64+49+36+25+16+9+4+1\nNumber\,of\,cans=285

Therefore, the number of cans = 285

What is the domain of x = 4?​

Answers

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. The range is the set of all valid y values.

Step-by-step explanation:

since x=4 is a vertical line,there is no y-intercerpt and the slope is undefined.

A polynomial multiples by a polynomial is a polynomial

Answers

A polynomial multiple by a polynomial is always a polynomial. The given statement is true.

What are polynomials?

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

When two polynomials are multiplied by each other, then each term of the first polynomial is multiplied by each term of the second polynomial.

The result is always a polynomial, regardless of what the coefficients might be of any of the terms, including the leading coefficients.

Thus, A polynomial multiples by a polynomial is always a polynomial.

Learn more about polynomials;

brainly.com/question/11536910

When two polynomials are multiplied, each term of the first polynomial is multiplied by each term of the second polynomial. ... The result is always a polynomial, regardless what the coefficients might be of any of the terms, including the leading coefficients.

A researcher wants to know how professional athletes in her city feel about safety measures. She obtains a list of 952 professional athletes in her city, selects 400 of them at random, and emails a questionnaire to them. 86 questionnaires are returned. Of these, 76% stated that they believe that the enforcement of safety measures needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. a. The proportion of all professional athickes in the rescarcher's home city who believe thal the cnlorcement of salfcty mcasures nocds to be compleicly overhauled.
b. The 76% who stated that thc enforcement of salty mcasures needs to be completh overhauled.
c. The 952 prolessional athkics whosc names were oblainoed,
d. All professional athlctes.

Answers

Answer:

Step-by-step explanation:

For this case the population represent all the professional athletes in the researcher city and we can assume that the sample size for tis population is N =982 and represent all the individuals of interest for the study and the parameter of interest is the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled .

In order to estimate te parameters of the population the researcher select a sample of 400 professional athletes and just 86 of them returns the questionnaire sent. So then the real sample is the n =86 people who return the info, because the other people are part of the non response rate, and from this sample she found that the proportion of athletes who believe that the enforcement of safety measures needs to be completely overhauled is .

p=0.76

An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °    If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____  miles   ​

Answers

Answer:

21

Step-by-step explanation: