A cylinder has a diameter of 5 centimeters and a height of 50 millimeters. Which of the following steps should be done
first in order to find the surface area of the cylinder?
O multiply the circumference of the circle by the height of the cylinder
o calculate the circumference of the circle
convert the diameter and the height to the same unit
o determine the radius and multiply by 2
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Answer:

  (D)  4/3π(8.06×10^16)

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³

__

Using the given value for the radius, the volume of the Sun is ...

  V = 4/3π(4.23×10^5 mi)³ ≈ 4/3π(8.06×10^16) mi³

Answer:

[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]

[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

Answer:

x = 4 would be a vertical line along with the value x=4

Step-by-step explanation:

The line of x=4 represents all values with the x value 4 so any value with (4,y) would be on the line x = 4 so if plot (4,0), (4,1), (4,2). It will form a vertical line at x=4.

Answer: 23

Step-by-step explanation:

A mathematical symbol, or combination of symbols, representing a value, or relation. Example:  2+2=4 .

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

Answer:

total cost = given hours × rate per hour

Answer:

401.5

Step-by-step explanation:

Answer:

x = 66

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

x + 35 + 79 = 180 , that is

x + 114 = 180 ( subtract 114 from both sides )

x = 66

Answer:

1. 2x^4(5 − x)

3. 7y^5(2y^4 − 3y+4)

5. −3(a^4 − 3a^2 + 4)

Answer:

The explanation is in the image

Step-by-step explanation:

Look for a number or alphabet that all the terms given have in common.

Answer:

$8.61 (nearest cent)

Step-by-step explanation:

The graphed data with the line of best fit (attached).

From the graphing calculator, the given line of regression is:

y = 0.125873x - 7.11916

To estimate the minimum hourly wage in 2025:

⇒ x = 2025 - 1900 = 125

Substitute x = 125 into the equation:

⇒ y = 0.125873(125) - 7.11916

⇒ y = 8.614965

Therefore, minimum hourly wage = $8.61 (nearest cent)

Answer:

(s - t)(x) = 4x^2 - x - 5

(s + t)(x) = 4x^2 + x + 5

(s * t)(-1) = 16

Step-by-step explanation:

(s - t)(x) is simply the same as s(x) - t(x)

(s + t)(x) is simply the same as s(x) + t(x)

(s * t)(x) is simply the same as s(x) * t(x)

(s - t)(x) = s(x) - t(x) = 4x^2 - (x+5) = 4x^2 - x - 5

(s + t)(x) = s(x) + t(x) = 4x^2 + (x+5) = 4x^2 + x + 5

(s * t)(-1) = s(-1) * t(-1) = 4(-1)^2 * (-1+5) = 4 * 4 = 16

Answers:

bio = 258

sociology = 169

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

Work Shown:

x = number of bio textbooks

y = number of sociology textbooks

x+y = 427 books sold total

y = x-89 since 89 less sociology textbooks were sold compared to bio

Apply substitution to get the following

x+y = 427

x+x-89 = 427 ... replace y with x-89

2x-89 = 427

2x = 427+89

2x = 516

x = 516/2

x = 258 bio textbooks were sold

y = x-89

y = 258-89

y = 169 sociology textbooks were sold

Answer:

(7x + 6) tickets

Step-by-step explanation:

Tickets Ross has : 8x - 5

Tickets Ross needs : 15x + 1

To find out the remaining amount, subtract the tickets Ross has from the number of tickets he needs.

Must ticket win

Answer:

See below ~

Step-by-step explanation:

Q3

Q4

#3

Simiilary

#4

And

Answer:

no answer

Step-by-step explanation:

1, -2 ; 1, -4 : -4-2/1-1 = no solution

ENGLISH:

Algebraic expressions are combinations of variables, numbers, and at least one arithmetic operation.

To evaluate an algebraic expression, replace the variable(s) with known values ​​and then use the order of operations.

For your convenience, you can use parentheses when entering negative values ​​in variables.

Answer:

Step-by-step explanation:

4(2x + 6) = 8x + 24

8x + 24 = 8x + 24

infinite many solutions

Answer:

f(x) = -5/81( x^2 -2x - 80)  

Step-by-step explanation:

The zeroes are -8 and 10 so we can write :

f(x) = -a(x - 10)(x + 8)  

( negative is because the parabola opens downwards).

The maximum value is at the vertex = 5.

f(x) = -a(x^2 - 2x - 80)

       =  a[(x - 1)^2 - 1 - 80)

        = a(x - 1)^2 - 81a

As the vertex is at f(x) = 5

81a = 5 so a = 5/81

So the equation is

f(x) = -5/81( x^2 -2x - 80)    

Answer:

Please clarify what you asking

Step-by-step explanation:

Answer:

theres 31536000 seconds in a year

Answer:

0.0065 calendar year

Step-by-step explanation:

How many seconds makes a year?

it is 31,536,000 seconds

for an approximate result, divide the time value by 3.154⁷

therefore 205000/3.154⁷

=0.00649

=0.0065

Answer:

294 yd²

Step-by-step explanation:

a cube has 6 congruent square faces.

the area of 1 face = 7 × 7 = 49 yd²

then surface area = 6 × 49 = 294 yd²

Answer:

B.

Step-by-step explanation:

it represents the hours the truck was driven before running out of fuel because the further the line goes the less fuel it has until it reaches the x-axis meaning there's no more fuel

Continuous compounding is the potentially endless number of periods in which compound interest may be calculated. The worth of the investment after a period of 10 years will be $850.34.

Continuous compounding is the potentially endless number of periods in which compound interest may be calculated and reinvested into an account's balance.

[tex]\rm A = Pe^{rt}[/tex]

where,

A is the principal amount after t number of years,

r is the rate at which the principal is been compounded, and P is the principal amount.

Given the principal amount of $570 is invested for a period of 10 years, and at a rate of 4% per year, therefore, the worth of the investment after 10 years will be,

[tex]\rm A = \$570 \times e^{(0.04 \times 10)} = \$850.34[/tex]

Hence, the worth of the investment after a period of 10 years will be $850.34.

Learn more about Continuous Compound Interest:

https://brainly.com/question/17185294

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Answer:

Graph these points:

(-6, -6)

(0, -6)

(0, -1)

(-6, -1)

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Since ∠A ≈ ∠A and ∠AJM ≈ ∠APB, hence triangle APB is similar to triangle AJM based on AA (angle-angle) similarity postulate.

Find out more on similar triangles at: https://brainly.com/question/2644832

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Answer:

sorrry i forget you man ..... or bro .....

Answer:

Step 1 − Divide the decimal number to be converted by the value of the new base.

Step 2 − Get the remainder from Step 1 as the rightmost digit (least significant digit) of new base number.

Step 3 − Divide the quotient of the previous divide by the new base.

Step 4 − Record the remainder from Step 3 as the next digit (to the left) of the new base number.

Step-by-step explanation:

Repeat Steps 3 and 4, getting remainders from right to left, until the quotient becomes zero in Step 3.

The last remainder thus obtained will be the Most Significant Digit (MSD) of the new base number.