Answers
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
Related Questions
My last math question! I need help. I'm not good at math so I'm relying on who ever do this to do so correctly!!!!
Answers
Answer:
c
Step-by-step explanation:
A bottle contains 15 marbles: 9 are white and 6 are green. What is the
probability of picking a white?
Answers
Answer: 3/5
Step-by-step explanation:
Fist find out how many whites are there and divide it by the total to find the probability.
9/15 simplify it to 3/5
Can someone please help me with this if I’m right or wrong:)
Answers
What is the exact value of tan(67.5°) ?
Answers
Answer:
[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]
Step-by-step explanation:
correct on edge2020
The required exact value of tan(67.5°) is -2 + √(2).
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:
tan(x/2) = (1 - cos(x)) / sin(x)
We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:
tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)
We can then use the following exact values:
cos(135°) = -√(2)/2
sin(135°) = -√(2)/2
Substituting these values, we get:
tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)
Rationalizing the denominator, we get:
tan(67.5°) = -2 + √(2)
Therefore, the exact value of tan(67.5°) is -2 + √(2).
Learn more about trig ratios here:
https://brainly.com/question/14977354
#SPJ6
Timothy purchased a computer for $1000. The value of the computer depreciates by 20% every year.
Answers
Answer:
We can apply the straight-line method to solve for the value of the computer every year.
Step-by-step explanation:
Step one:
What is depreciation?
It can be defined as the loss of value of a commodity.
In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.
We are told that the computer cost is $1000
let the number of years taken for the computer to depreciate be x
Step two:
Say we want to find the value of the computer after 1 year, the value of the computer will be
Value of computer= 1000-20/100*1000
Value of computer= 1000-0.2*1000
Value of computer= 1000-200
Value of computer= $800
Step three:
For the second year, the value will be
Value of computer= 800-20/100*800
Value of computer= 800-0.2*800
Value of computer= 800-160
Value of computer= $640
Answer:
This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.
Step-by-step explanation:
PLATOOOOOO
need help on this asap pleaase
Answers
WILL mark brainliest
Answers
Answer:
do u have to find the pattern?
Step-by-step explanation:
Maria and laurie are making orange juice.Maria use 2 cups of concentrate and 5 cups of water. Laurie uses 3 cups of concentrate and 7 cups of water . Whose mix would be the strongest? Why?
Answers
Answer:
Step-by-step explanation:
To obtain the strongest mix :
Maria:
2 cups of concentrate ; 5 cups of water
Ratio = 2/5 = 0.4 concentrate per 1 cup of water
Laurie:
3 cups of concentrate ; 7 cups of water
Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water
0.4285714 > 0.4
Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.
15 = 5/ 3(x + 12) solve for x in simplest form
Answers
Answer:
x= -10 1/5 or -10.2
Step-by-step explanation:
I NEED HELP PLZ I WILL GIVE THANKS AND BRAINLIST
Answers
Answer: Yes, it is in the blue shaded area
Step-by-step explanation:
the two angles measuring (30 + 2 a)degree and (125 -a) degree supplementary to each other, then find the value of a.
Answers
Answer:
The value of a is 25
Step-by-step explanation:
When two angles are supplementary, they add up to 180 degrees
Mathematically,
(30 + 2a) + (125-a) = 180
30 + 2a + 125 - a = 180
a + 155 = 180
a = 180-155
a = 25 degrees
8, 6, 4, 2, 0, ...
The first 5 terms of a linear sequence are shown above.
What is the 100th term in the sequence?
Answers
9514 1404 393
Answer:
-190
Step-by-step explanation:
The n-th term of an arithmetic (linear) sequence is given by ...
an = a1 +d(n -1)
where a1 is the first term (8) and d is the common difference. We note that each term is 2 less than the one before, so the common difference is -2.
an = 8 -2(n -1)
Then the 100th term is ...
a100 = 8 - 2(100 -1) = 8 -198 = -190
The 100th term is -190.
Jayden's car gets 23 miles to a gallon of gasoline. He filled up his car's gas tank with g gallons. Write an expression that shows how far Kurt can drive on a tank of gasoline.
Answers
Answer:
D= distance covered by amount (g) gallons
D=23g
Step-by-step explanation:
Solve for x: x — 10 = 3х – 12
Answers
Answer:
x=1
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x−10−3x=3x−12−3x
−2x−10=−12
Step 2: Add 10 to both sides.
−2x−10+10=−12+10
−2x=−2
Step 3: Divide both sides by -2.
−2x/−2 = −2/−2
x = 1
In March, you have $220 in your savings account. By the end of April, your savings have increased by 30%. How much money do you have in your savings account at the end of April?
Answers
Answer:
286
Step-by-step explanation:
I dit 220+30%=286
Answer:
$286
Step-by-step explanation:
220 • 0.3 = 66
220 + 66 = 286
A computer’s random number generator produces random integers from 1 to 50. What is the probability that the first 3 integers generated are single-digit numbers?
Answers
Answer:
A. 0.0058
Step-by-step explanation:
Round the number 2.72603 to 2 decimal places.
Answers
Answer:
2.73
Step-by-step explanation:
You round 6 up to get 2.73
Please give brainliest and thank me if it helped
rounded seven back coz 2 is less than 5
250% of a number is the same as increasing the number by what percent?
Answers
Answer:
Since I am not given an increase number i will solve for numbers 1-5
1 - 25000%
2 - 12500%
3 - 8333.333333333332% (I recommend you don't use this one)
4 - 6250%
5 - 5000 %
Each number, it will increase by 250% no matter what
Its the same as increasing by 250%
Hope this helps <3
Joe has eaten 2/5 of a pizza.Jane has eaten 1/6 of a pizza how many more pizza has joe eaten than Jane?
Answers
Joe ate 7/30 more of pizza than Jane. You can just subtract 2 uneven denominators. So you would turn them into 30 because that’s the closest highest number that can go with 5 and 6. Then multiply 2 with 6 which is 12 and then multiply 1 with 5 which is 5 now you can subtract it. 12/30-5/30=7/30.
Final Result: 7/30
John jogged 4.5 miles on Thursday, 7 2/5 miles on Friday, and 10.4 miles on Saturday. How many miles does John have to run in order to run 25 miles for the week
im giving 20 points
Answers
Answer:
2.7 miles
Step-by-step explanation:
25 - 10.4 - 4.5 - 7 2/5 will give you 2.7
Answer:
8 miles
Step-by-step explanation:
If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.
70÷50=1.4
So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:
1.4 minutes mile × 5 miles = 7 minutes
Thus it will take her 7 minutes to run 5 miles at this pace.
If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.
If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
Writer the ratio in 3 ways 4 books for every 25 shelves
Answers
Answer:
400:2500 , 40:250 ,and 4:25
Alazari rode her bike to school
then the hospital and back home.
If she lives 70 meters from school
and 60 meters to the hospital, how
far did she travel in all?
-
Answers
- The output of a function is 3 less than 6 times the
input. Find the input when the output is 15.
Answers
Answer:
(15+3)/6= the input
18/6= 3
since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:
6*3= 18
and 18-3= 15 so it checks out.
Step-by-step explanation:
I hope this helps :)
Divide 2x^4+3x^3-5x+6 by x^2+3x-2 .
Answers
2x^4 + 3x^3 - 5x + 6 ÷ x^2 + 3x - 2
= 2x^6 + 3x^5 − 2x^3 − 2x^2 + 6/ x^2
Round or fraction form round all the WAY!
Answers
Answer:
The answer to the question provided is
[tex] - \frac{3}{2} [/tex]
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream a customer gets to choose a cone and a type of ice cream how many events are described
Answers
Answer:
2 events are described.
Step-by-step explanation:
Because only three types of cones and 31 flavours of ice cream.
A store pays $100 for a barbecue grill and marks the price up by 7%. What is the amount
of the mark-up?
Answers
Answer:
$7
multiply .07 times 100
7th grade help me please:)
Answers
Answer:
4^9
262144
Step-by-step explanation:
What is the gradient of the blue line?
Answers
Answer:
gradient = - 5
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 1, 0) ← 2 points on the line
m = [tex]\frac{0-5}{-1+2}[/tex] = [tex]\frac{-5}{1}[/tex] = - 5
Solve the equation.
x2 + 13x + 30 = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution(s) is/are x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
O B. There is no solution.
Answers
Given that,
An equation : [tex]x^2 + 13x + 30 = 0[/tex]
To find,
The value of x.
Solution,
We have, [tex]x^2 + 13x + 30 = 0[/tex]
We can solve it as follows :
[tex]x^2 + 10x +3x+ 30 = 0\\\\x(x+10)+3(x+10)=0\\\\(x+3)(x+10)=0\\\\(x+3)=0\ \text{and}\ (x+10)=0\\\\x=-3\ \text{and}\ x=-10[/tex]
So, the solution of the given equations are -3 and -10.