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4 years ago

Without actually writing the formula, explain how to expand (x + 3)7 using the binomial theorem.

2 answers:

4 0

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.

For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.

Simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

svp [43]4 years ago

4 0

Answer:

To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle. For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7. simplify by evaluating the coefficients and powers 3

Step-by-step explanation:

got it right on assignment.

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Find the tenth term of an arithmetic sequence if the third term is 19 and the sixth term is 37.

larisa [96]

$\bf \begin{array}{|ll|ll} \cline{1-2} term&value\\ \cline{1-2} a_3&19\\ a_4&19+d\\ a_5&19+d+d\\ a_6&19+d+d+d\\ &19+3d\\ &\\ \cline{1-2} \end{array}~\hspace{5em} \begin{array}{llll} \stackrel{a_6}{37}=19+3d\implies 18=3d \\\\\\ \cfrac{18}{3}=d\implies 6=d \end{array}$

since we know the common difference is d is 6, then to get from the 6th term to the 10th term, we use d 4 more times.

6th term..................37

7th term...................37 + 6

8th term...................37 + 6 + 6

9th term...................37 + 6 + 6 + 6

10th term...................37 + 6 + 6 + 6 + 6

.....................................61.

7 0

3 years ago

Read 2 more answers

Determine the amplitude of the trigonometric function: *attached image*

horsena [70]

Answer:

Step-by-step explanation:

Note that the sine wave is shifted up by 1/2 and the peak is at 5/2 so subtract the 1/2 from the 5/2 to get the amplitude of this wave.

It's 2

4 0

3 years ago

Getting along with coworkers and bosses Alderfer renamed the need for getting along with coworkers and bosses into the category

Leokris [45]

Incomplete question. The full question read;

Provide the missing category labels from Maslow's theory for the following work scenarios, and answer the related question on Alderfer's theory.

Work Example

Getting along with coworkers and bosses

Maslow's Need Category ____

Alderfer's ERG Theory Alderfer renamed the need for getting along with coworkers and bosses into the ______category of needs.

Getting a promotion for a job well done

Maslow's Need Category ____

Securing another position after being let go from a previous job

Maslow's Need Category ____

Answer:

Maslow's Need Category = love and belonging need (social belonging need); Alderfer's ERG Theory renamed to relatedness
Self-esteem need
Safety need

Step-by-step explanation:

According to Maslow's hierarchy of needs, in a scenario where someone (including a worker) is able to get along with coworkers and bosses, they have achieved the social belonging need.

Alderfer after studying Maslow's hierarchy decided to rename or in other categorize the social belonging need to "Relatedness". In other words, the individual has a need to be "related," "to belong."

While "getting a promotion for a job well done" in Maslow's hierarchy falls under the self-esteem need which is best illustrated when the individual has received recognition, a prize, and the likes.

Achieving Job security also falls under Maslow's safety need. That is why we can categorize "securing another position after being let go from a previous job' as belonging to the "Safety need".

8 0

3 years ago

Given the Venn Diagram what is the probability that a person is an only child OR only has sisters?

Svetradugi [14.3K]

Based on the venn diagram of siblings, the probability of being an only child or having only sisters is d. 0.50.

<h3>What is probability of being an only child or having a sister?</h3>

The probability of being an only child or having a sister can be found as:

= (Number of those only sister + Number of only children) / Total number of people in poll

Solving gives:

= (8 + 7) / (8 + 10 + 5 + 7)

= 15 / 30

= 0.50

In conclusion, the probability of having a brother and sister is 0.50.

Find out more on Venn diagrams at brainly.com/question/9085273

#SPJ1

7 0

2 years ago

There are 6 pieces of fruit in a basket, including 3 bananas.

mihalych1998 [28]

Answer:

1/2

Step-by-step explanation:

3/6 fruits are bananas that means that there is a 3/6 chance that a banana will be selected. 3/6 simplifies to 1/2.

3 0

2 years ago

Read 2 more answers