Cube Roots of Negative Numbers.
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Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.
To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.
The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.
For n = 3, the cube root of -1 becomes:
(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).
Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).
In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).
please help my grade in math is an F
Answer:
12Step-by-step explanation:
So our equation is:
(7x+5)+(5x+3)+(12x-20) = 276
First remove parenthesis:
7x+5+5x+3+12x-20=276
Combine like terms:
24x-12 = 276
Add 12 on both sides:
24x = 288
Divide:
288/24 = 12
Write each expression without the absolute value symbol. |7-(12-x)|
The expression without the absolute value symbol is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.What is the absolute value function?The absolute value function is defined by the following piecewise rule, depending on the input of the function:
|f(x)| = f(x), x ≥ 0.|f(x)| = -f(x), x < 0.The expression for this problem is given as follows:
7 - (12 - x).
The critical value of x is obtained as follows:
7 - (12 - x) = 0
7 - 12 + x = 0
x = 5.
Hence the expression is given as follows:
If x > 5, then |7 - (12 - x)| = -5 + x.If x = 5, then |7 - (12 - x)| = -5 + x.If x < 5, then |7 - (12 - x)| = 5 - x.More can be learned about the absolute value function at https://brainly.com/question/3381225
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Mrs. Raymond purchased a rectangular toy chest. Its dimensions are 4 1/2 feet by 2 1/2 feet by 3 feet. What is the total volume of the toy chest? Brainliest for the correct answer!
Answer:
V = 33.75 ft.^3
Step-by-step explanation:
V = Length x Height x Width
Length: 4.5 ft
Height: 2.5 ft
Width: 3 ft
V = 4.5 x 2.5 x 3 = 33.75 ft.^3
Which of the following is a statistical question that can result in numerical data?
How many miles do you ride your bike each week?
How many miles do the students in your class run each week?
Who is the dentist at Uptown Dentistry?
How many pets do your grandparents have?
Answer: First, Second and Third.
Step-by-step explanation: Each can be answered with an integer. For example, you can ride 10 miles on your bike each week.
The students can do 10 miles each week.
Your grandparents could have 20 pets.
The data can be plotted into a graph and this would count as statistical/numerical data.
A restaurant serves a 24-fluid ounce glass of soda that is 40% ice. How many fluid ounces of soda are served
Need help its a test!!!!
Answer:
14.4 fl ounces
Step-by-step explanation:
60% of 24 is 14.4
The percentage is calculated by dividing the required value by the total value and multiply it by 100.
100% = 24 fluid ounce
60% = 14.4 fluid ounce
The amount of soda in the glass of soda is 14.4 fluid ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiply it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
A glass of soda = 24 fluid ounce
A glass of soda = Soda + Ice
The percentage amount of ice in the glass of soda = 40%
The percentage amount of soda in the glass of soda.
= 100% - 40%
= 60%
A glass of soda = 24 fluid ounce
This can be written as,
100% = 24 fluid ounce
Multiply 60/100 on both sides.
60/100 x 100% = 60/100 x 24 fluid ounce
60% = 14.4 fluid ounce
Thus,
The amount of soda in the glass of soda is 14.4 fluid ounces.
Learn more about percentages here:
https://brainly.com/question/11403063
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Which cube is a unit cube? A. a cube that is 3 meters long,3 meters wide,and 3 meters high b. a cube is a. that is 9 inches long,9inches wide,and 9 inches high c. a cube that is 1 yard long,1 yard wide, 1 yard high. d. a cube that is 11 centimeters long, 11 centimeters tall ,and 11 centimeters high
Answer:
C. A cube that is 1 yard long, 1 yard wide, 1 yard high
Step-by-step explanation:
A unit cube has a volume of 1 cubic unit.
This means that the length, width, and height are all 1 unit.
Answer choice C is the only one that has a cube with the length, width, and height at 1 unit.
This means it is a unit cube because the volume will be 1 cubic unit.
So, C is the correct answer.
Answer:
Step-by-step explanation:
wow
Identify all of the quadratic functions
Answer:
y=(x-2)^2 +4
y=1/4 x^2 +x-1
use the "Dividing polynomial box method" to solve the problem below".
Answer:
divide x^2+x-8 to x-4
Step-by-step explanation:
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm?
Introduction to Perimeter & Area of Polygons
Answer:
1) to work out the area of a parallelogram you need to do area= base x height.
6.3x27.3=171.99m^2
2) 420.92/27.4= 15.36mm to 2 decimal places
3) 133.2x30.6=4075.92mm^2
4) 651/61=10.57m to 2 decimal places
5) (32x2)+(34x2)=132mm
6) 40x18=720mm^2
7) (8.8x2)+(7.9x2)=33.4m
8)354/23= 15.39cm to 2 decimal places
9) 44/4=11
11x11=121mm^2
10)55/4=13.75
13.75x13.75=1890.0625cm^2
11) 43x18=774m^2
12) 25x35=875m^2
13)600/16=37.5m
14) 125-(40.5x2)=44.6
44.6/2=22.3
22.3x40.5=903.15cm^2
15) 64.3x4.3=276.49m^2
Step-by-step explanation:
I need help ASAP. Thank u so much for ur help
Answer:
The y intercept should be 1
Martin and Isabelle go bowling. Each game cost $10, and they split that cost. Martin has his own bowling shoes, but Isabelle pays $3 to rent shoes.
Mae Ling earns a weekly salary of $310 plus a 7.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,700 worth of merchandise?
someone please answer ASAP i'll give brainlist to the best answer <3
Answer: 662.50 dollars
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Explanation:
If she doesn't sell a single thing, she still earns the base weekly salary of $310. This is the smallest amount she can earn per week.
If she does make sales, then she'll earn an additional 0.075x dollars where x is the amount of sales made (the total value of the merchandise). The 0.075 is the decimal form of 7.5%
In total, she makes 0.075x+310 dollars per week. In this case, she sold x = 4700 dollars worth of goods, which means,
0.075x+310 = 0.075*4700+310 = 662.50
She earned 662.50 dollars for that week.
WILL MARK BRAINLYEST PLSSSSSSSSSSSSSS
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Classify the decimal expansion of each fraction as a terminating decimal or a repeating decimal.
Drag and drop the fractions into the boxes to correctly complete the table.
HELPP PLEASE!!!!!!
The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 2 at least once.
The probability?
Type an integer or a fraction
Help me plz ASAP!!! I can give brainlist to the first right person.
1-30%
2-25%
3-50%
4- 11.111111111111111111 rounded =11%
5-6.6666666666667% rounded =6%
Answer:
1. 30%
2. 25%
3. 50%
4. 11.111111111111111111 rounded =11%
5. 6.6666666666667% rounded =6%
Step-by-step explanation:
mark brainliest please
I Need Help With No. 5
Answer:
3 times
Step-by-step explanation:
Heather deposits $7000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years?
Answer:
year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $7000.00.
r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 7000 × 0.02 × 3 to get that:
The interest is: $420.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 7000.00 + 420.00 = 7420.00. For example:
If you borrowed the $7000.00, you would now owe $7420.00
If you loaned someone $7000.00, you would now be due $7420.00
If owned something, like a $7000.00 bond, it would be worth $7420.00 now.
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.
How much would it cost Lin to rent the community center for 3 hours?
another community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50.
Write an expression to represent this situation using for the number of hours.
Answer:
it would cost $267.50
Step-by-step explanation:
if u mutiply 22.50x 3 it equals $67.50 plus the 200 dollars
The figure shows a parallelogram inside a rectangle outline:
What is the area of the parallelogram?
1 over 25 square foot
11 over 25 square foot
3 over 25 square foot
4 over 25 square foot
Answer:
11 over 25 square foot
Step-by-step explanation:
The table shows the results of a survey of 100 people randomly selected at an airport. Find the experimental probability that a person is going to City E.
Airport Destinations
Destination
Number of Responses
City A
City B
City C
City D
City E
28
34
16
14
8
Answer: 8 people will go to e
Step-by-step explanation: it goes in order
Tanya is training a turtle for a turtle race. For every 1/2 of an hour that the turtle is crawling, he can travel 2/23 of a mile. At what rate is the turtle crawling in miles per hour?
Answer:
To determine at what unit rate the turtle is crawling, divide 3/20 mile by 1/6 hour.
Therefore, the unit rate is 9/10 of a mile per hour
Step-by-step explanation:
The rate of turtle crawling is 4/23 miles per hour.
Given that, the time taken by turtle to crawl = 1/2 hour and number miles crawled by turtle = 2/23 mile
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Now, Speed = Distance/Time
= 2/23 ÷ 1/2
= 2/23 × 2/1
= 4/23 miles per hour
Hence, the rate of turtle crawling is 4/23 miles per hour.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
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The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?
Answer:
60
Step-by-step explanation:
Hope that helps! :)
Help me, please! I will mark the brainiest! ANY OFF TOPIC ANSWER WILL BE DELETED!
100 PTS PLS HELP PLS PLS PLS PLSPLSPLPLSSPLSPLSLS
Answer:
D
Step-by-step explanation:
Lets go through each answer choice and check if it is correct.
A: False. 50% of 70 is not 31.
B: False. 17% of 70 is not 17.
C: False. The fraction 8/70 does not simplify to 2/25.
D: Correct. The fraction 14/70 simplifies to 2/10.
Answer:
The answer is D, On average, 2 out of 10 adults visited the museum most frequently.
Step-by-step explanation:
You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.
PLEASE HELP ME I NEED TO DO THIS TODAY PLEASE HELP ILL MAKE U BRAINLIST
1. If the height of a parallelogram is 27.3 m and the base is 6.3m, what is the area of the parallelogram?
2. If the base of a rectangle is 27.4 mm and the area is 420.92 mm2. What is the height of the rectangle?
3. What is the height of a rectangle with a perimeter of 133.2 mm and a base length of 30.6 mm?
4. If the base of a parallelogram is 61 m and the area is 645 m2, what is the height of the parallelogram
5. What is the perimeter of a parallelogram with a base of 32 cm, a side length of 34 cm, and a height of 19 cm?
6. What is the area of a parallelogram with a base of 40 mm, a side length of 15 mm, and height of 18 mm?
7. If the height of a rectangle is 8.8 m and the base is 7.9 m, what is the perimeter of the rectangle
8. If the base of a rectangle is 23cm and the area is 354 cm2, what is the height of the rectangle?
9. What is the area of a square with a perimeter of 44 mm?
10. What is the area of a square with a perimeter of 55 cm
Answer:
Step-by-step explanation:
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 6.3 m x 27.3 m
Area = 171.99 m²
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 420.92 mm² / 27.4 mm
Height ≈ 15.35 mm
The perimeter of a rectangle is given by 2 times the sum of the base and height:
Perimeter = 2(base + height)
133.2 mm = 2(30.6 mm + height)
133.2 mm = 61.2 mm + 2 height
2 height = 133.2 mm - 61.2 mm
2 height = 72 mm
Height = 72 mm / 2
Height = 36 mm
To find the height of a parallelogram, divide the area by the base:
Height = Area / Base
Height = 645 m² / 61 m
Height ≈ 10.57 m
The perimeter of a parallelogram is the sum of all its sides:
Perimeter = 2(base + side length)
Perimeter = 2(32 cm + 34 cm) + 2(height)
Perimeter = 2(66 cm) + 2(19 cm)
Perimeter = 132 cm + 38 cm
Perimeter = 170 cm
To find the area of a parallelogram, multiply the base by the height:
Area = base x height
Area = 40 mm x 18 mm
Area = 720 mm²
The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)
Perimeter = 2(7.9 m + 8.8 m)
Perimeter = 2(16.7 m)
Perimeter = 33.4 m
To find the height of a rectangle, divide the area by the base:
Height = Area / Base
Height = 354 cm² / 23 cm
Height ≈ 15.39 cm
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 44 mm / 4
Side length = 11 mm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 11 mm x 11 mm
Area = 121 mm²
The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:
Side length = Perimeter / 4
Side length = 55 cm / 4
Side length = 13.75 cm
To find the area of a square, multiply the side length by itself:
Area = side length x side length
Area = 13.75 cm x 13.75 cm
Area ≈ 189.06 cm²
Help Please
find the solution to this system of equations
Answer:
-8x + 4y = 24 ----> 2x - y = -6
-7x + 7y = 28 ----> -x + y = 4
-------------
x = -2, y = 2
What could thy answer be?
Answer: 36
Step-by-step explanation:
There are a total of 36 numbers, you can find that out by multiplying 6 x 6.
There is only 1 number pair can has a sum of 2 which is 1,1
Can someone help on my last question please?
Answer:
ight im on it
Step-by-step explanation:
What was the other question ?
ALL NERDS ASSEMBLE!!!!!
Answer:
1. 3.9284 x 10^4 or 39284
2. 5.86728 x 10^4 or 58672.8
3. 2.07341587 x 10^3 or 2073.41587098
4. 183.80166497
5. 8.74411916 x 10^6 or 8744119.16410072
Step-by-step explanation: