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2 years ago

Please help me I will give you brain list

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

8 0

1 triangle=3 sticks.

2 triangle= 6 sticks.

3 triangle= 9 sticks.

4 triangles=12 sticks.

5triangles=15sticks.

10 triangles= 30 sticks.

30 triangles=90 sticks

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Use the diagram and given information to answer the questions and prove the statement.

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Answer:

See explanation

Step-by-step explanation:

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3 years ago

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3 years ago

To three decimal places, find the average value of f(x) = 2x2 + 3 on the interval [0, 2].

salantis [7]

The formula for the average value of a function is $\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx$ where b is the upper bound and a is the lower. For us, this formula will be filled in accordingly. $\frac{1}{2} \int\limits^2_0 {(2x^2+3)} \, dx$ . We will integrate that now: $\frac{1}{2}[ \frac{2x^3}{3}+3x]$ from 0 to 2. Filling in our upper and lower bounds we have $\frac{1}{2}[( \frac{2(2^3)}{3}+3(2))-0]$ which simplifies to $\frac{1}{2}( \frac{16}{3}+6)$ and $\frac{1}{2}( \frac{16}{3}+ \frac{18}{3})= \frac{1}{2}( \frac{34}{3})$ which is 17/3 or 5.667

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3 years ago

In 2003 there were 1078 JC Penney stores and in 2007 there were 1067 stores.

Tamiku [17]

Answer:

a) $f(s)=\frac{-11}{3}s+\frac{3245}{3}$ $f(1)=1078 stores$ b) 2012, 1049 stores. 2014, 1041 stores. c) Yes it is a downsizing company.

Step-by-step explanation:

s=year | f(s) = number of stores per year

1 | 1078

4| 1067

$m=\frac{1067-1078}{4-1}\Rightarrow m=\frac{-11}{3}\\1078=-\frac{11}{3}*1+b\Rightarrow b=\frac{3245}{3}\\f(s)=\frac{-11}{3}s+\frac{3245}{3}$

s=1 in 2003

$s=1 year =2003\\ Testing\\f(1)=\frac{-11}{3}(1)+\frac{3245}{3}=\frac{3234}{3}=1078\\ f(1)=1078$

b) For 2012, s=9. For 2014, s=11

$\\f(s)=\frac{-11}{3}s+\frac{3245}{3}\\ \\f(9)=\frac{-11}{3}(9)+\frac{3245}{3}\cong1049\\\\f(11)=\frac{-11}{3}(11)+\frac{3245}{3}\cong=1041$

c) In deed. Since the function shows a decreasing amount of JC Penney stores. Maybe this is a downsizing from this company, progressively closing some stores.

4 0

3 years ago