PLEASE HELP!!!! I need the answer quick!!!! I’ll give you 20 points<br> -3b+12=36

Billy Bob made 16 quarts of lemon juice. How many liters of lemon juice did Billy Bob make?

pav-90 [236]

Answer:

15.14

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

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

WILL GIVE BRAINLEIST DUE AT 9:45 P.M. PLS HURRY SUPER EASY. Write a division problem that has a solution of 42.

Llana [10]

Answer:

84/2=42

Step-by-step explanation:

The multiplication problem 42×2 has a product of 84, this also means that 84/2 is a dividend of 42. This means that 84/2 is 42

5 0

3 years ago

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of

trapecia [35]

Answer:

3in up per foot across

Step-by-step explanation:

4ft across 12in height

6ft across 18in height

So for every 2ft it goes up 6” which is a ratio of 1ft:3in so the answer to the rate of change is 3in up per 1ft across

4 0

3 years ago

Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ab

zhenek [66]

Answer:

test statistic is ≈ -0.36

p-value is ≈ 0.64

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

Step-by-step explanation:

a hypothesis test where H_0: mu = 235 and H_1:mu > 235

test statistic can be calculated as follows:

z= $\frac{X-M}{\frac{s}{\sqrt{N} } }$ where

sample mean driving distance (233.8 yards)

M is the average expected distance that the average golfer can hit the ball under null hypothesis. (235 yards)

s is the standard deviation (46.6 yards)

N is the sample size (192)

Then test statistic is z= $\frac{233.8-235}{\frac{46.6}{\sqrt{192} } }$ =-0.3568

p-value is 0.64 >0.05

There is no significant evidence that the average golfer can hit the ball more than 235 yards on average.

6 0

4 years ago

PLEASE HELP!!!! I need the answer quick!!!! I’ll give you 20 points -3b+12=36