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3 years ago

Using estimation expression in the limit of sequence definition

Mathematics

1 answer:

Mashutka [201]3 years ago

4 0

Explain a little more

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Whats 1/3 of 1/2? thanks!

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It's 1/6, hope this helps!

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a person can purchase a particular model of a new car with a choice of 10 colors, with or without automatic transmission, with o

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Im not good at math

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Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

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3 years ago

2. Find the volume of the prism. Round to the nearest tenth.

natita [175]

$\huge\mathcal\pink{ANSWER}$

$\mathsf \purple{ v = \frac{1}{2} (a + b) \times h \times l}$

$\mathsf \pink{v = \frac{1}{2} (5 + 12) \times 6.1 \times 16}$

$\mathsf \purple{v = \frac{1}{2} (17) \times 6.1 \times 16}$

$\mathsf \pink{v = 8 \frac{1}{2} \times 6.1 \times 16}$

$\mathsf \purple{v = 829.6 {mi}^{3} }$

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2 years ago

What is 4 1/3 minus 3 2/3?

djyliett [7]

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Step-by-step explanation:

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