((2ab)/(a ^ - 5 * b ^ 2)) ^ - 3 Which is the simplified form Assume a ne0 b ne0
Answers
Answer:
The correct options is (a)
The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given as follows:
(2ab/a⁻⁵b²)⁻³
= [(2ab) / (a⁻⁵b²)]⁻³
Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator
= [(2a.a⁵b) / (b²)]⁻³
Combine the coefficients 1 and 5 to get
= [(2a⁶) / (b)]⁻³
= 1/[(2a⁶) / b]³
= 1/[(2a⁶)³ / b³]
Cube the resulting expression to get
= b³/8a¹⁸
Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.
Hence, the correct answer is option A.
Learn more about expressions here :
brainly.com/question/21751419
#SPJ7
Related Questions
Can I get some help plz
Answers
QUIKKK PLEASE HELP
For lines c, d and e, m1 = 90° and m3=90°
For the given diagram and angle measures, use complete sentences to describe each pair of lines as parallel or perpendicular. In your description, include the special angle relationship between angles 1 and 3.
lines d and e
lines d and c
Answers
Lines D and E seem to be a pair of lines that are parallel to each other, which is what makes angles 1 and 3 congruent
Lines D and C seem to be perpendicular to each other, which would make angles 1 and 3 right angles.
English is the predominant language spoken in Chile. Question 1 options: True False
whoever answers first gets the crown
Answers
Answer: The answer is false!
Step-by-step explanation: You may think its true but NO, its not true!
Answer: false
Step-by-step explanation:
the correct answer is a dialect of spanish, chilean spanish.
help meeeeeeeeeeeeeee
Answers
Answer:
Neither
Step-by-step explanation:
Congruent means the triangles are equal. One is a right triangle (to the left) and the other is not. They cannot be congruent.
Similar means, well, similar!
17 __ a solution od d - 6 = 23
is it or is it not
Answers
The diameter of a hat is 6.8 inches. What is the distance around the hat using π = 3.14? Round to the hundredths place.
2.17 inches
10.68 inches
21.35 inches
36.29 inches
Answers
Answer:
21.35 inches
Step-by-step explanation:
Hello!
The distance around the hat is also called the circumference (the perimeter of a circle). To find this, we use the formula: \(C = 2\pi r\), where r is the radius.
If we don't have a given radius when solving for circumference, we can use the diameter, and then the formula would change to \(C = \pi D\) (2r is the same as D), where D is the diameter.
Given that the diameter is 6.8, and the desired value of Pi is 3.14, we can solve for the circumference.
Solve for the Circumference:C = πDC = (3.14)(6.8)C = 21.352 ≈ 21.35The circumference is approximately 21.35 inches.
PLS HELP ASAP 30 POINTS
Answers
helppppppppppppppppppppp
Answers
Answer:
it should be 2.28
Step-by-step explanation:
srry if wrong
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
Answers
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Elena rolls two cubes
numbered 1 to 6. What is
the probability that she rolls
two numbers with a sum of
9?
Answers
Answer:
I thought it was 1/9
Step-by-step explanation:
favorable out comes are 4
and total out comes are 36
The probability that she rolls two numbers with a sum of 9 is 1/9 if the Elena rolls two cubes numbered 1 to 6.
What is probability?
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happeing of the event.
We have:
Elena rolls two cubes numbered 1 to 6.
The total outcome = 6×6
As there are two cubes with each cubes numbered 1 to 6
Total number of favourable outcomes = 4
Which are (3, 6), (4, 5), (5, 4), and (6, 3)
Now the probability P will be:
\(\rm P = \frac{4}{36}\)
\(\rm P = \frac{1}{9}\)
Thus, the probability that she rolls two numbers with a sum of 9 is 1/9 if the Elena rolls two cubes numbered 1 to 6.
Learn more about the probability here:
brainly.com/question/11234923
ILL GIVE BRAINLIEST AND 50 + 25 POINTS TO CORRECT ANSWER
x = a + b + 4
a ∝ \(y^{2}\), b ∝ \(\frac{1}{y}\) when x = 18, y = 2 and when x = -3, y = 1 then find x when y = 4.
In the end solve it with this equation, x = \(ky^{2}\) + \(\frac{m}{y}\) + 4
TYVM!!
Answers
Answer: x=ky2+m/y+4=15.8
Step-by-step explanation:
Use the elimination method to solve the system of equations. Choose the correct ordered pair. 5x - 2y = 9 3x + 4y = - 5 O A. (5, - 5) O B. (1, - 2) OC. (7, 13) D. (3, 3)
Answers
Answer:
Step-by-step explanation:
4(5x-2y=9)
-2(3x+4y=-5)
20-20x-8y=36
+6x-6x-8y=10
36-20x=10+6x-6x
36-36-20x-6x=10
-26x=10-36
-26x/-26=-26/-26
x=1
Solve each equation. SOMEONE, PLEASE ANSWER! LAST AND FINALLY QUESTION! WILL GIVE A BRIANLIEST!
A. 1/3a = -5 a =
B. 12 - b = 12.5 b =
C. -0.1 = -10c c =
Answers
\(\\ \tt\hookrightarrow a/3=-5a\)
\(\\ \tt\hookrightarrow a=-15a\)
Only 0 can be the solution
#b
\(\\ \tt\hookrightarrow 12-b=12.5b\)
\(\\ \tt\hookrightarrow 12=13.5b\)
\(\\ \tt\hookrightarrow b=12/13.5\)
\(\\ \tt\hookrightarrow b=0.8\)
#c
\(\\ \tt\hookrightarrow -0.1=-10c\)
\(\\ \tt\hookrightarrow 10c=0.1\)
\(\\ \tt\hookrightarrow c=0.01\)
Which expression resulted from using the Distributive Property to generate an expression equivalent to 4( 1/4a + b – 6)??
a. a + b – 24
b. 4a – 6b
c. 4a + b – 6
d. a + 4b – 24
Answers
Answer:
a=22
Step-by-step explanation:
a=a and b =1+1=2 so, 24-2=22
b=4a-6b because it can not be subtracted because 4 have a and 6 have b
c=same as b 4a+b-6
d=same as b and c a+4b-24
Bud’s cheeseburger and fries contained 1310 milligrams and 350 milligrams of sodium, respectively. Together they contained 66.4% of the recommended daily intake of sodium for a 2,000 calorie diet. What is the daily recommended intake of sodium for a 2,000 calorie diet? Show your work.
Answers
The daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.
What is diet?Healthy diet:
A healthy diet helps protect against malnutrition in all its forms and is a foundation for health and development. It also helps to prevent noncommunicable diseases including diabetes, cardiovascular diseases, some cancers and other conditions linked to obesity.
In order to calculate the daily intake of sodium we first need to calculate the mass of sodium present in both snacks, this is given by their sum.
\(\text{Total sodium = 1310 + 350 = 1660}\)
We can now apply a rule of three for which the total sodium from the snacks is related to 66.4% in the same proportion as "x" mg, which is the value we want to know, is related to 100%. So we have:
\(\frac{1660}{x} \frac{mg}{mg} = \frac{66.4}{100} \\\\66.4*x = 1660*100\\x=\frac{166000}{66.4} = \bold{2500\text{ mg}}\)
Hence, the daily recommended intake of sodium for a 2,000 calorie diet is 2000 calorie diet is 2500 mg.
Learn more about diet here: https://brainly.com/question/30532118
#SPJ3
PLEASE HELP I'M ALMOST DONE
Answers
Answer: 8
Please answer as fast as you can. I will pay you
Promise
Answers
Answer:
c all real values of x such that x=/ 7
Step-by-step explanation:
please can you help, can you edit the image with the answer.
thx :)
Answers
Answer:
Draw line going through points (6,0) and (0,3)
Step-by-step explanation:
Equation: y=3-1/2x
Point I: (6,0)
Take y as 0, x=6.
Point II: (0,3)
Take x as 0, y=3.
i'm so confuzzled, please help
Answers
Step-by-step explanation:
0.5% of w is 12 is what they are asking
0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part is
\(12 = 0.005 \times w\)
Now to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite
\(w = \frac{12}{0.005} = 2400\)
Answer:
0.5% of w is 12 is what they are asking0.5% of w = 12. Only the first answer has the equation equal to 12, so the first part isNow to solve it, we want to get W alone, we can do that by dividing 0.005 on both sides. Since right now it's being multiplied we must do the opposite
Step-by-step explanation:
Ava is buying 30 baseball caps and pays a total of $240. Each cap costs the same amount. Determine whether the situation below represents a direct proportion, and justify your reasoning. If so, find the constant of proportionality.
Pls find the answer winter break is almost ending
Answers
90% of people marry there 7th grade love. since u have read this, u will be told good news 2night. if u don't pass this on nine comments ur worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of ur life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you...
The answer is 8 so its a direct proportion
I think...
The constant of Proportionality is 8.
What is constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.
Given:
Total Baseball Caps= 30
Total amount of Cap= $240
let the number of caps sold be c.
Then, the equation is
30 c= 240
and, c= 240/30
c= 8
Hence, the constant of Proportionality is 8.
Learn more about constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ2
How can I find the cube root of 64?
Answers
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
To know more about cube root:
https://brainly.com/question/12105008
Which of the following is not a rate?
folding 6 loads of laundry in 3 days
walking 4 miles in 1 hour
doing 45 crunches in 1 minute
paying $3.15 for 1 gallon of gas
Answers
Answer:
Folding 6 loads
Step-by-step explanation:
What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters long, 6.6 centimeters wide, and 6 centimeters tall?
Answers
Answer:
Step-by-step explanation:
3.1313109
Answer: the answer should equal 3.131
Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.
Please got brainliest
It takes 17 seconds for a train to pass a 206-meter long bridge at normal speed. It takes 45 seconds for the same train to pass 170-meter long bridge at one-third of the normal speed. What is the length of the train in meters?
Answers
Answer:hello
Step-by-step explanation:sync bien
- L = length of the train in meters
- v = speed of the train in meters per second (normal speed)
- t1 = time taken by the train to pass the 206-meter long bridge at normal speed
- t2 = time taken by the train to pass the 170-meter long bridge at one-third of the normal speed
From the problem statement, we have two equations involving these variables:
Equation 1: L + 206 = v * t1
Equation 2: L + 170 = (1/3)*v * t2
We can solve this system of equations for L by eliminating v. To do this, we can rearrange Equation 1 to solve for v:
v = (L + 206) / t1
Then, we can substitute this expression for v into Equation 2:
L + 170 = (1/3)*[(L + 206) / t1] * t2
Multiplying both sides by 3*t1 and simplifying, we get:
3*L*t1 + 3*170*t1 = (L + 206)*t2
Expanding the right-hand side and simplifying, we get:
3*L*t1 + 510 = L*t2 + 206*t2
Now, we can solve for L by rearranging terms and simplifying:
L = (206*t2 - 3*170*t1) / (3*t1 - t2)
Substituting the given values, we get:
L = (206*45 - 3*170*17) / (3*17 - 45) = 510
The length of the train is 510 meters.
Use the best-fit line below to predict the value of y when x = 7
Answers
Answer:
the answer is 6 because when x=7 on the line it is also equal to 6 on the y axis
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answers
Answer:
the third answer
Step-by-step explanation:
Please help quick! this is my second to last question!
Answers
Answer:
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Step-by-step explanation:
1. 2x8+1= 17
2. 10 - (4x4)= 10-16= -6
3. (10/5) + 4 = 2+4= 6
4. (-6 x 1/3) + 16= -2 + 16= 14
5. (8 x -1) - 5= -8 - 5= -13
1.) 17
2.) -6
3.) 6
4.) 14
5.) -13
Which list orders the numbers from least to greatest?
Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth
A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3
Answers
Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth
Hope my answer helps you✌️
what is the maximum number of 14 pound turkeys that can be purchased with the money donated while still purchasing 100 total turkeys? 10 pound turkeys cost 9.25 and 14 pound turkey cost 12.75. Money limit is $1000.
Answers
Answer:
64.05$
Step-by-step explanation: