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Ilya [14]
3 years ago
11

What is the base 5 representation of the number 219?

Mathematics
1 answer:
Stels [109]3 years ago
4 0

The easiest way to do this is to start with the power of 5 that is just under 219.

125 would be the closest power of  5

Now subtract 125 from 219 = 94

=====================

The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25

94 - 75 = 19

=======================

19 - 3 * 5 = 4 Same argument as above.

219_10 = 1334_5

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The net worthw(t) of a company is growing at a rate of′(t) = 2000−121t2dollarsper year, wheretis in years since 1990.(a) If the
stiv31 [10]

Answer:

The worth of the company in 2000 is $56,000.

Step-by-step explanation:

The growth rate of the company is:

f'(t)=2000-12t^{2}

To determine the worth of the company in 2000, first compute the change in the net worth during the period 1990 (<em>t</em> = 0) to 2000 (<em>t</em> = 10) as follows:

\int\limits^{10}_{0} {2000-12t^{2}} \, dt =\int\limits^{10}_{0} {2000} \, dt-12\int\limits^{10}_{0} {t^{2}} \, dt=2000 |t|^{10}_{0}-12|\frac{t^{3}}{3}|^{10}_{0}\\=(2000\times10)-(4\times10^{3})\\=20000-4000\\=16000

The increase in the company's net worth from 1990 to 2000 is $16,000.

If the company's worth was $40,000 in 1990 then the worth of the company in 2000 is:

Worth in 2000 = Worth in 1990 + Net increase in company's worth

                        =40000+16000\\=56000

Thus, the worth of the company in 2000 is $56,000.

4 0
3 years ago
The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew
Studentka2010 [4]

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

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3 years ago
Do you know how to do this??
UkoKoshka [18]

Answer:

8000, 8 on the graph would be your answer

Step-by-step explanation:

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2 years ago
Which details do the authors include to support the claim in this passage
Hunter-Best [27]
They site there sources or give information to prove why there point is correct
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3 years ago
Please help. I need a step by step explanation. Extra points will be given as well as brainiest!!!
Shalnov [3]

Answer:

V =113.04

Step-by-step explanation:

A sphere has a surface area of 113.04

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4 years ago
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