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2 years ago

What is the greatest common factor of 42a5b3, 35a3b4, and 42ab4? 7ab3 6a4b 42a5b4 77a8b7

Mathematics

2 answers:

lbvjy [14]2 years ago

3 0

The <em><u>correct answer</u></em> is:

7ab³

Explanation:

The greatest common factor is the largest thing that each term is divisible by.

The coefficients of our terms are 42, 35 and 42. Using the prime factorization for each,

42 = 6*7

6 = 2*3

42 = 2*3*7

35 = 5*7

The greatest common factor is 7.

For the variables, each term has at least a¹ and at least b³. This means that ab³ is part of the GCF; this gives us a GCF of 7ab³.

gogolik [260]2 years ago

3 0

Answer:

7ab^3

Step-by-step explanation:

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2 years ago

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The exponential functions y=(1-25)^x-2/5. -10 is shown hraphed along woth the horizontal line y=115 their intersection is (a,115

evablogger [386]

Answer:26

Step-by-step explanation:

Y=1.25^x-2/5-10

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So Y+10=1.25^x-2/5

So log to base 10 of the two sides of the equation is

Log(Y+10)=X-2/5log1.25.

To make X the subject, divide both sides by log1.25.

Log(Y+10)/log1.25=X-2/5.

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2 years ago

Of all individual tax returns, 37 percent include errors made by the taxpayer. If IRS examiners are assigned randomly selected r

Dima020 [189]

Answer:

mean=4.44

standard deviation=1.67

Step-by-step explanation:

The mean and standard deviation for the number of erroneous returns per batch can be calculated using binomial distribution. The binomial distribution is used because

i) There are one of two possible outcomes( error or no error) that can be categorized into success and failure.

ii) The experiment is repeated fix number of times 12.

iii) The probability of success remains constant at each trial i.e. 37%

iv) The trails are independent.The mean and standard deviation of binomial distribution are np and √npq

Here, n=12, p=0.37 and q=1-0.37=0.63

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2 years ago

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Alex777 [14]

Answer:

Step-by-step explanation:

600 X .50 = 300.00 1st month

600 X .05 = 30.00 47 months

30 X 47 = 1,410

1,410 + 300 = 1,710 (final answer)

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2 years ago

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Triangle XYZ is rotated to create the image triangle X'Y'Z'.

Solnce55 [7]

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

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Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

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Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

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2 years ago