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kodGreya [7K]
3 years ago
7

Translate the following verbal expression into an algebraic expression ... "The quotient of a number and four decreased by five"

​
Mathematics
1 answer:
irina1246 [14]3 years ago
4 0

Answer:

n/(4-5)

Step-by-step explanation:

A quotient of a number and... means that the number is being divided by whatever comes after. In this case the number that comes after is '4 decreased by 5', which is 4 - 5 as the -5 takes 5 away so it 'decreases it by 5'. Therefore is the expression is 'the quotient of a number and four decreased by five' then it is expressed in the following way (using n for number):

n/(4-5)

Hope this helped!

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Step-by-step explanation:

The form of the continuous exponential growth model is

A=Pe^{rt} , where

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  • r is the rate of growth or decay  in decimal
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∵ The growth rate is 8.3%

∴ r = 8.3 ÷ 100 = 0.083

∵ The size of the sample will doubled in t hours

∴ A = 2 P

Use the formula of the contentious exponential growth above

∵ 2P=Pe^{0.083t}

- Divide both sides by P

∴ 2=e^{0.083t}

- Insert ㏑ in both sides

∴ ln(2)=ln(e^{0.083t})

- Remember ln(e^{n})=n because ㏑(e) = 1

∴ ln(2)=0.083t

- Divide both sides by 0.083

∴ \frac{ln(2)}{0.083}=t

∴ t = 8.35 hours to the nearest hundredth

It takes 8.35 hours for the size of the sample to double

Learn more:

You can learn more about the logarithmic function in brainly.com/question/1447265

#LearnwithBrainly

4 0
4 years ago
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Mumz [18]

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Step-by-step explanation:

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(5,4) & m = (3/4)

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y-4=\frac{3}{4}x-\frac{3}{4}*5\\\\y-4=\frac{3}{4}x-\frac{15}{4}\\\\y=\frac{3}{4}x-\frac{15}{4}+4\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{4*4}{1*4}\\\\y=\frac{3}{4}x-\frac{15}{4}+\frac{16}{4}\\\\y=\frac{3}{4}x+\frac{1}{4}

7 0
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seropon [69]
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1cm is 6 miles,

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