Write a recursive formula and an explicit formula for the following arithmetic sequence.

4.25, 4.75, 5.25, 5.75, ...

Answer:

[tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]

The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.

The formula to determine the total surface area of an open cylinder is given as:

2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =

where: r is the radius, and h is the height of the cylinder.

The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:

Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)

                               = 0.8297

The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].

Total surface area of the ten cylinders = 10 x 0.83

                                                   = 8.3 [tex]m^{2}[/tex]

Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:

x = 8.3 x 150 g

  = 1245 g

x = [tex]\frac{1245}{1000}[/tex]

  = 1.245 Kg

Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.

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Answer:

mixed no. 51/10

Improper fraction 5/1/10

Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

9/4 or 2 1/4

Step-by-step explanation:

Answer:

The 7 in 137 represents ten times the 7 in 137 (the second option)

Step-by-step explanation:

The seven in 137 equals 7

The seven in 174 equals 70

7 times 10 = 70

I hope this helped!

Answer:

A & C are correct.

Step-by-step explanation:

Yes, I can help!

Absolute value makes any number positive.

12 < 50 (yes)

12 < 50 (yes)

12 > 50 (no)

12 > 50 (no)

You are welcome!

Kayden Kohl

8th Grade Student

Step-by-step explanation:

18 cm is the correct answer

Answer: main

Step-by-step explanation:

Answer:

yeah it's main it cuts up through oak and elm

Answer:

y = j - rx/c

Step-by-step explanation:

Answer: She ran 0.25 laps a minute

Step-by-step explanation:

Every minute she runs 0.25 a minute which means that every 4 minutes she runs 1 lap which means if she run for 8 minutes she gets 2 laps

Answer:

?

Step-by-step explanation:

what does the O mean

29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.

Answer:

15 cents a minute

Step-by-step explanation:

9 ÷ 60 = $0.15

Answer:

a is greater or equal to 4

Step-by-step explanation:

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

Answer:

C. .45

Step-by-step explanation:

Think of it like this: that is 45 hundredths and you are trying to find what 45% is and it is like 45/100 so .45 is your answer.

answer c=0.45

0.45 is equal to 45%.

Answer:

D. The probability that a customer buys a taco, a drink, or both is

55%.

Answer: It all depends on what type of number line you're doing.

Step-by-step explanation:

Answer:

1: 25 3: 15.5

Step-by-step explanation:

1: divided 16 into 80, then multiplied 5 by 5.

3: found the simplified version of 120:20, it was 6:1, then I divided 6 into 93.

Answer:

A

Step-by-step explanation:

y = - 1.7x + 8.5 ( add 1.7x to both sides )

1.7x + y = 8.5 ( multiply through by 10 )

17x + 10y = 85 → A

Answer:

1)YES:This is a decimal neither terminates nor repeats

2)YES:Repeating decimal

3)NO: Terminating decimal

4)YES: this is a decimal neither terminates nor repeats.

Step-by-step explanation:

Hope it can help you lovelots

Answer:

angle qpt equals 125

Step-by-step explanation:

QPT=60,RPS=45, and SPT=90-60=30

so its sum will be 125

Answer:

Step-by-step explanation:

5√7²=5√49=9.8

Answer:

40 years

Step-by-step explanation:

I think 1 score is 20 years

so 2 scores = 2 x 20 = 40 years

I may be wrong so someone check

-Chetan K

Answer:

12 shirts

Step-by-step explanation:

I used the method keep, change, flip (KCF) to divide fractions and solve this problem.

This means Keep the first fraction, Change the division sign to a multiplication sign, and Flip the second fraction.

so keep 10 1/2, or 21/2, change sign, and flip the second fraction to 8/7.

that gives us the equation 21/2x8/7, and solving that gives us 168/14, or 168 divided by 14, so 12 shirts

Answer:

The answer is D

Step-by-step explanation:

A cant be right because the graph isn't a straight line.

B cant be right because from 0 to 60 the graph the line goes at a(n) upward slope not a straight line.

Although the first part of question c is right, the second part is wrong. From 50-90 the ling goes at a downward slope via decreasing, which isn't equal like it said so question C is wrong.

So the correct answer is D

Answer:

nearest whole number would be 340816

Answer:

340,816

Hope this helps :)

Answer:

3 square miles

Step-by-step explanation:

Answer:

64h^2.

Step-by-step explanation:

4 ^3 = 64

h(2/3)^3 = h ^(3*2/3) = h^2.

Answer:

1st dot: 195,3

2nd dot : 390,6