Marissa Singh
2022-05-08
Answered

Compute 13* 6 -3+14+10-12.

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ele5ph1a7jl1

Answered 2022-05-09
Author has **12** answers

Multiply $13$ by $6$.

$78-3+14+10-12$

Subtract $3$ from $78$.

$75+14+10-12$

Add $75$ and $14$.

$89+10-12$

Add $89$ and $10$.

$99-12$

Subtract $12$ from $99$.

$87$

asked 2020-11-03

Jenette picks from a deck of 52 playing cards. What is the probability that she will pick a king?

asked 2021-11-12

In the following exercises, identify the equivalent fractions.

Which of the following fractions are equivalent to$-\frac{13}{6}$ ?

$\frac{13}{6},\frac{13}{-6},\frac{-13}{-6},\frac{-13}{6}$

Which of the following fractions are equivalent to

asked 2022-04-30

Question involving approximation, taylor series and proving

Question: Consider the approximation

$\mathrm{ln}\left(2\right)\approx 2(\frac{1}{3}+\frac{1}{3\times {3}^{3}}+\frac{1}{5\times {3}^{5}})$

Prove that the error in this approximation is less than

$\frac{1}{7\times {2}^{2}\times {3}^{5}}$

Attempt: It looks like the expression comes from the taylor series expansion so:$\mathrm{ln}(1+x)=x-\frac{{x}^{2}}{2}+\frac{{x}^{3}}{3}-\frac{{x}^{4}}{4}+\dots \text{}\text{for}\text{}\text{}-1x1$

$\mathrm{ln}(1-x)=-x-\frac{{x}^{2}}{2}-\frac{{x}^{3}}{3}-\frac{{x}^{4}}{4}+\dots$

$\therefore \mathrm{ln}\left(\frac{1+x}{1-x}\right)=2(x+\frac{{x}^{3}}{3}+\frac{{x}^{5}}{5}+\frac{{x}^{7}}{7})$

$\text{Now let}\text{}x=\frac{1}{3}$

$\therefore \mathrm{ln}\left(2\right)=2(\frac{1}{3}+\frac{1}{3\times {3}^{3}}+\frac{1}{5\times {3}^{5}}+\frac{1}{7\times {3}^{7}})$

So we have to prove that:

$2(\frac{1}{7\times {3}^{7}}+\frac{1}{9\times {3}^{9}}+\frac{1}{11\times {3}^{11}}\cdots )<\frac{1}{7\times {2}^{2}\times {3}^{5}}$

Question: Consider the approximation

Prove that the error in this approximation is less than

Attempt: It looks like the expression comes from the taylor series expansion so:

So we have to prove that:

asked 2021-10-01

Convert the following decimals to percents:

6-1. .88

6-7. 4%

Convert the following fractions to percents (round to the nearest tenth percent as needed):

=

Convert the following percents to fractions and reduce to the lowest terms:

6-17. 4%

Solve for the portion (round to the nearest hundredth as needed):

6-23. 7% of 150

6-27. 17.4% of 900

asked 2021-11-16

Practice Makes Perfect Solve equations with fraction coefficients. In the following exercises, solve the equation by clearing the fractions.

$\frac{1}{3}x+\frac{2}{5}=\frac{1}{5}x-\frac{2}{5}$

asked 2021-05-22

how to convert decimals into fractions

asked 2021-11-15

Find an equation of a line with the x- and y-intercepts below. Use exact fractions when necessary.

x-intercept: (3,0); y-intercept: (0,6)

x-intercept: (3,0); y-intercept: (0,6)