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ipn [44]
3 years ago
6

Each day, Lara’s mom drives her to school. On the way, she picks up three of Lara’s friends: Chan, Jason, and Marla. Each aftern

oon, she returns by the same route and drops them off at their homes. The map below is drawn to scale. It shows where each person lives and the route taken by Lara’s mom.  At the end of the month, the four students agree to pay $300 in total to Lara’s mom to help pay for gasoline. They need to figure out how much each person should pay. Consider their statements below. How much should each person pay? Try to find the fairest possible method. Show all your work.
Mathematics
1 answer:
Alla [95]3 years ago
5 0

Answer:$75

Step-by-step explanation:

$300 divided by 4= $75

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Rudiy27

a Anna drives her sisters at an a average of 60 mph and devive home

3 0
3 years ago
Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n
aliya0001 [1]

Answer:

f(x)=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}

Step-by-step explanation:

The Maclaurin series of a function f(x) is the Taylor series of the function of the series around zero which is given by

f(x)=f(0)+f^{\prime}(0)x+f^{\prime \prime}(0)\dfrac{x^2}{2!}+ ...+f^{(n)}(0)\dfrac{x^n}{n!}+...

We first compute the n-th derivative of f(x)=\ln(1+2x), note that

f^{\prime}(x)= 2 \cdot (1+2x)^{-1}\\f^{\prime \prime}(x)= 2^2\cdot (-1) \cdot (1+2x)^{-2}\\f^{\prime \prime}(x)= 2^3\cdot (-1)^2\cdot 2 \cdot (1+2x)^{-3}\\...\\\\f^{n}(x)= 2^n\cdot (-1)^{(n-1)}\cdot (n-1)! \cdot (1+2x)^{-n}\\

Now, if we compute the n-th derivative at 0 we get

f(0)=\ln(1+2\cdot 0)=\ln(1)=0\\\\f^{\prime}(0)=2 \cdot 1 =2\\\\f^{(2)}(0)=2^{2}\cdot(-1)\\\\f^{(3)}(0)=2^{3}\cdot (-1)^2\cdot 2\\\\...\\\\f^{(n)}(0)=2^n\cdot(-1)^{(n-1)}\cdot (n-1)!

and so the Maclaurin series for f(x)=ln(1+2x) is given by

f(x)=0+2x-2^2\dfrac{x^2}{2!}+2^3\cdot 2! \dfrac{x^3}{3!}+...+(-1)^{(n-1)}(n-1)!\cdot 2^n\dfrac{x^n}{n!}+...\\\\= 0 + 2x -2^2  \dfrac{x^2}{2!}+2^3\dfrac{x^3}{3!}+...+(-1)^{(n-1)}2^{n}\dfrac{x^n}{n}+...\\\\=\sum_{n=1}^{\infty}(-1)^{(n-1)}2^n\dfrac{x^n}{n}

3 0
3 years ago
What is the range of h?
Bas_tet [7]

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

3 0
3 years ago
The sum of two consecutive odd integers is 236. What is the smaller integer?
Kryger [21]
HEY there,

236/2=117 

117 enn odd number 

117+117=236

1,3,7 are odd number so 

hope this helped you 

Plz mark brainliest if you want (;

5 0
3 years ago
Read 2 more answers
I need help please anybody
erma4kov [3.2K]
Answer: area= 4.7

Area=pi*r^2=3.14*1.5=4.71=4.7 (nearest tenth)
6 0
3 years ago
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