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3 years ago

Tell whether the sequence is arithmetic. If it is, what is the common difference? 8, 12, 17, 23, . . .

Mathematics

2 answers:

kykrilka [37]3 years ago

6 0

Answer:

This is not arithmetic series.

Step-by-step explanation:

8, 12, 17, 23, . . .

The common difference is calculated by subtracting the first number of the series from the second, the second number from the third, the third number from the fourth and so on.

So, $12-8=4$

$17-12=5$

$23-17=6$

We can see that the series is not arithmetic as each number does not differ from the preceding one by a constant quantity. The difference is different each time.

Yakvenalex [24]3 years ago

3 0

No the sequence common difference changes from 4 to 5 to 6.

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3 years ago

Given s(x) = 2x - 3 and t(x) = 5x + 4. Find the formula and domain for v(x) = s (x) / t (x) and w(x) = t (x) / s (x)

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4 years ago

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You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac

andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = $\frac{Diameter}{2}=\frac{9}{2}=4.5\ cm$

Height of cups = 12 cm

We will find volume of cup.

$Volume = \frac{1}{3}\pi r^2h\\$

Putting all the values

$Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3$

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

$\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05$

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

#LearnwithBrainly

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