A decimal is a way of expressing numbers that are not whole numbers, but rather include a fractional or decimal part. The decimal equivalent of the base-6 number 12345 is 1415.
To convert a base-6 number to decimal, we multiply each digit by its corresponding weight and add the products together. The weights are 6 to the power of the digit's position, starting from the rightmost digit.
For example, to convert the base-6 number 12345 to decimal, we would do the following:
(1 * 6^4) + (2 * 6^3) + (3 * 6^2) + (4 * 6^1) + (5 * 6^0)
= 1296 + 72 + 18 + 24 + 5
= 1415
Therefore, the decimal equivalent of the base-6 number 12345 is 1415.
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HELP WILLMARK BRAINLIEST.!!!!
1. If you want to create a cone or cylinder by spinning a 2–dimensional shape about an axis of symmetry, what shapes would you need to use?
2. Describe how the volume formulas for a cone, cylinder and pyramid derived. What are the similarities between the volume of a cone and pyramid?
3. What is the relationship between mass, density and volume? Provide and example that involves calculating population density.
4. Manufacturers often alter different packages to save money and to grab customers attention. Explain using an example, how changes in the dimensions of common geometric shapes (prisms, cylinders, cones and spheres) will affect the volume of these shapes.
5. The concept of volume is something you experience everyday in your life. Provide a specific example in which you could solve a real-world application using volume
Answer: if a cone and a cylinder have the same base and same height then the volume of the cone is the volume of the cylinder.
Step-by-step explanation: its right edge 2021
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the length of a rectangle is twice its width. The area of the rectangle is 32 square feet. what are the length and width? which equation models this problem?
A) 32w = 2w + w
B) w - 2w = 32
C) 2w x w = 32
D) 2w+w = 32
Paul will pay for his new car in 36 monthly payments.if his car loan is for $19,061,then about how much paul will pat each month? Round your answer to the nearest cent if necessary.
Paul will pay approximately $529.47 each month for his new car.
Explanation:To calculate how much Paul will pay each month for his new car, we need to divide the total car loan amount by the number of monthly payments. In this case, the car loan is $19,061 and the number of payments is 36. So, the monthly payment can be calculated as:
Monthly payment = Car loan amount / Number of payments
Substituting the given values, we get:
Monthly payment = $19,061 / 36
Running this calculation, we find that Paul will pay approximately $529.47 each month for his new car, rounded to the nearest cent.
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The sum of a number and its reciprocal is 13/6. find the number
What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?
Enter your answer in the box. Do not round any side lengths.
Answer: 32 units
I did this lesson. it is correct, I promise
Applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
Recall:
Perimeter of a polygon is the sum of all its sides.Distance between two vertices having coordinates can be calculated using the distance formula given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]Assume the vertices of the polygon are named as:
A(3, 2) B(3, 9)C(7, 12)D(11, 9)E(11, 2)Perimeter of the polygon = AB + BC + CD + DE + AE
Find the distance between A(3, 2) and B(3, 9) using the distance formula:[tex]AB = \sqrt{(9 - 2)^2 + (3 - 3)^2}\\\\AB = \sqrt{7^2 + 0^2} \\\\AB = \sqrt{49} \\\\\mathbf{AB = 7}[/tex]
Find the distance between B(3, 9) and C(7, 12) using the distance formula:[tex]BC = \sqrt{(12 - 9)^2 + (7 - 3)^2}\\\\BC = \sqrt{3^2 + 4^2} \\\\BC = \sqrt{25} \\\\\mathbf{BC = 5}[/tex]
Find the distance between C(7, 12) and D(11, 9) using the distance formula:[tex]CD = \sqrt{(9 - 12)^2 + (11 - 7)^2}\\\\CD = \sqrt{-3^2 + 4^2} \\\\CD = \sqrt{25} \\\\\mathbf{CD = 5}[/tex]
Find the distance between D(11, 9) and E(11, 2) using the distance formula:[tex]DE = \sqrt{(2 - 9)^2 + (11 - 11)^2}\\\\DE = \sqrt{-7^2 + 0^2} \\\\DE = \sqrt{49} \\\\\mathbf{DE = 7}[/tex]
Find the distance between A(3, 2) and E(11, 2) using the distance formula:[tex]AE = \sqrt{(2 - 2)^2 + (11 - 3)^2}\\\\AE = \sqrt{0^2 + 8^2} \\\\AE = \sqrt{64} \\\\\mathbf{AE = 8}[/tex]
Perimeter of the polygon = 7 + 5 + 5 + 7 + 8 = 32 units.
In summary, applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
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fifteen more than half a number is 9
Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)
The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.
The sales tax rate is 2%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that, the cost of the item is $370.
Sales tax of item is $7.40.
Let the sales tax is m%.
To find the sales tax in percentage:
Use percentage formula;
7.40 = m x 370 / 100
m = 7.40 x 100 / 370
m = 740 / 370
m = 2
The sales tax is m = 2%.
Hence, the sales tax rate is 2%.
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Number 19. Answer to number 19) the figure shows a game...
1) One equation of a system of equations is 5x + 2y = 10. What is the second equation such that the system is independent?
A) x = -2/5y + 2
B) y = -5/2x + 15
C) y = 5/2x + 5
D) y = -5/2x + 5
2) What is the equation of y = |x| translated 1 unit up and 6 units to the left?
A) y = |x + 6| + 1
B) y = |x – 1| + 6
C) y = |x – 6| + 1
D) y = |x + 1| + 6
3) Which statement describes the relationship between the graph of the equation
y=|x/2| and the graph of the equation y=|x/2| +4 ?
A) The graph of y=|x/2| was shifted 4 units to the right.
B) The graph of y=|x/2| was shifted 4 units to the left.
C) The graph of y=|x/2| was shifted 4 units up.
D) The graph of y=|x/2| was shifted 4 units down.
Answer all questions and please show work :)
The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers
Which equation shows y = − 12x +4 in standard form?
A. x + 2y = 8
B. 2x + y = 8
C. x + 2y = − 8
D. 2x − y = 8
Answer: The equation that shows y=-(1/2)x+4 is standard form is x+2y=8
Option A. x+2y=8
Solution:
y=-(1/2)x+4
Standard form of the equation Ax+By=C, with A, B, and C integer numbers
The coefficient of x is a fraction. To simplify the fraction, let's multiply both sides of the equation by 2:
2y=2 [ -(1/2)x+4]
2y=-2(1/2)x+2(4)
2y=-(2/1)(1/2)x+8
2y=-[(2*1)/(1*2)]x+8
2y=-(2/2)x+8
2y=-1x+8
2y=-x+8
The two variables must be on the left of the equation, then adding x both sides of the equation:
2y+x=-x+8+x
x+2y=8
This is you correct answer
What are the coordinates of the vertex of the graph of f(x)=−3|x−1|?
a scale drawing of a patio is shown (15 in by 14 in.). the scale is 4 inches : 6.8 feet. what are the length and width of the patio? find the patio's area.
Find the slope of the line.
How would you solve 5x+3y=12 by graphing it?
What are the slope and the y-intercept of the line T=14N+40
Final answer:
The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.
Explanation:
The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.
Factor this expression completely and then place the factors in the proper location on the grid.
ab + 2a + 3b + 6
Answer:
This was a little confusing. I had trouble getting the right answer, but it is all there. It was (a+3) *(b+2) for me.
Thanks BenjaminG123
the length of a rectangle is 2 cm less than 7 times the width. the perimeter is 62 cm. find the length and width
Write the following in scientific notation:
1) 12 756 =
2) 116 464 =
3) 142 984 =
4) 1 392 000 =
5) 59 770 000 =
6) 903 500 000 =
7) 2 644 800 000 =
Inequalities:
The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour plus $55 for an assistant. The committee wants to keep the total cost under $555. What is the maximum amount of hours the DJ will play at the dance?
The maximum amount of hours the DJ will play at the dance is 4 hours.
Explanation:To find the maximum amount of hours the DJ will play at the dance, we need to set up an inequality. Let x represent the number of hours the DJ will play. The total cost is given by $125 per hour plus $55 for an assistant, so the cost function is C(x) = 125x + 55. We want the total cost to be less than or equal to $555, so the inequality is 125x + 55 ≤ 555.
To solve this inequality, we need to isolate x. First, subtract 55 from both sides to get 125x ≤ 500. Then, divide both sides by 125 to get x ≤ 4. Therefore, the maximum amount of hours the DJ will play at the dance is 4 hours.
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Find the value of the 100th and 1000th term in the sequence { 3,-5,7,-9,...}
How do you write algebraic expressions to model quantities?
Algebraic expressions to model quantities
A businessman produces x Biscuits made up of wheat and rice daily, and another Business person produces y Snacks made up of vegetables daily.There is another person who manufactures z , drinks daily.Find total number of Biscuit,snack and Drink produced after 8 days.
So, Algebraic Expression will be
=8 x+8y+8z
As, there are three terms,so we call it Trinomial Expression.
Whats 0.87 repeating as a fraction?
A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A painter is paid per hour: 11 dollars
Paint with a roller in this time: 8 m²
it takes 1/2 an hour for the painter to clean up after using the roller,
Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.
it takes one hour for the painter to clean up after using the Spray.
We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the spray gun on a paint job that involves painting 40 m^2.
Roller
40m²/8m²=5 hrs
5hr to paint with roller.
Total time =5+0.5=5.5hrs
Amount paid=5.5×11=$60.5
40m²/20m²=2 hrs
2 hr to paint with roller.
Total time 2+1=3hr
Amount 3×11+5(3)=$33+15=$48
The saving by using the spray gun on a paint job that involves painting 40 m².
60.5-48=$12.5
Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
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ramon has a rope that is 25 1/2 feet long. he wants to cut it into 6 pieces that are equal in length. how long will each piece be?
Help please practical math
♫ I have a Brainliest♫ Math situation
What are some prime numbers between 80 and 90?