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Flauer [41]
3 years ago
14

Martine wants to open an after-school tutoring service for students in 6th through 9th grade. How can a thorough knowledge of cu

stomers' expectations improve the probability of her success?
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

it would help her know how to prepare her teaching to match the students learning and expectations

Step-by-step explanation:

This idea of opening this tutoring service for students in these grades would prove a success if if martine has adequate knowledge of her students/customers. That is the learners requirements, their expectations, their experiences, and their strengths and weaknesses in particular subject areas.

Knowledge of these expectations would help to set Martine on the path of tutoring success and this would attract more students. So for her to have a strong tutoring business she has to know the approaches to use to make students strong academically, and how to match learning ability with her teaching.

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Find the sum of the geometric series 512+256+ . . .+4
mario62 [17]

\bf 512~~,~~\stackrel{512\cdot \frac{1}{2}}{256}~~,~~...4

so, as you can see above, the common ratio r = 1/2, now, what term is +4 anyway?

\bf n^{th}\textit{ term of a geometric sequence}\\\\a_n=a_1\cdot r^{n-1}\qquad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\a_n=+4\end{cases}

\bf 4=512\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{4}{512}=\left( \cfrac{1}{2} \right)^{n-1}\\\\\\\cfrac{1}{128}=\left( \cfrac{1}{2} \right)^{n-1}\implies \cfrac{1}{2^7}=\left( \cfrac{1}{2} \right)^{n-1}\implies 2^{-7}=\left( 2^{-1}\right)^{n-1}\\\\\\(2^{-1})^7=(2^{-1})^{n-1}\implies 7=n-1\implies \boxed{8=n}

so is the 8th term, then, let's find the Sum of the first 8 terms.

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases}n=n^{th}\ term\\a_1=\textit{first term's value}\\r=\textit{common ratio}\\----------\\r=\frac{1}{2}\\a_1=512\\n=8\end{cases}

\bf S_8=512\left[ \cfrac{1-\left( \frac{1}{2} \right)^8}{1-\frac{1}{2}} \right]\implies S_8=512\left(\cfrac{1-\frac{1}{256}}{\frac{1}{2}}  \right)\implies S_8=512\left(\cfrac{\frac{255}{256}}{\frac{1}{2}}  \right)\\\\\\S_8=512\cdot \cfrac{255}{128}\implies S_8=1020

7 0
3 years ago
The regular price of a pair of glasses is $90. The glasses are on sale for a discount price of $76.50 What is the percent of the
natima [27]

Answer:

15%

Step-by-step explanation:

\frac{76.50}{90}=\frac{x}{100}         Set up a proportion.

90x=7,650      Cross-multiply.

x=85               Divide both sides by 90.

100-85=15    The discounted price is 85% of the regular price so the                                          

                        discount is 15%.

6 0
3 years ago
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Ivy filled a rectangular prism with 1-centimeters unitcubes.The greatest number of units cubes she could pack into the prism was
azamat
The answer is A because 6 x 10 x 2 = 120
3 0
3 years ago
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The is 2/3 of a pizza left. Wakami eats 1/4 of it. How much of the pizza did he eat?
babunello [35]

Answer:

If you mean how much is left after he ate 1/4 from the 2/3 then 5/12 of the pizza is left.

Step-by-step explanation:

8 0
2 years ago
The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard
irga5000 [103]
Answer: B) About 16% of the books have fewer than 150 pages
8 0
2 years ago
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