Answers
Answer:
[tex]\frac{\sqrt[3]{20}}{5}[/tex]
Step-by-step explanation:
Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:
1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.
2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.
3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.
4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties
7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.
11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.
12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.
13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.
14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]
15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.
16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property
17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result
Related Questions
775 earning 4.25% compounded annually after 12 years
Answers
Shan exercises daily. Today he did 85 pushups, which is 20 more than he usually does. How many pushups p does Shan usually do? Write an equation to represent this situation, and then solve the problem.
[equation]
Shan does [ ] pushups
Answers
Answer:
85 - 20 = p
65
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
Equation: 85-20=65
WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12
Answers
Answer:
All real numbers
Step-by-step explanation:
Answer:
-3÷4x+6>-3×-2×12
-3÷4x+6>6×12
-3÷4x+6>72
-3÷4x+6-6>72-6
-3÷4x>66
-3÷4x×4x<66×4x
-3<264x
-3÷264<264x÷4
-0.01 (rounded)<x
Plzzzzz give me Brainliest!!!!!
If he starts at 1 and jumps 3 units to the left, then where is he on the number line? How far away from zero is he? (explain how you got your answer)
Answers
Answer:
-2, and 2 away from zero
Step-by-step explanation:
by going left, you are going negative
1-3=-2
-2+2=0, so you are 2 away from the number line
i hope i could help<3
Simplify -3x^2-5x^2(4x^3-x^2)2
Answers
Let's simplify step-by-step.
−3x2−5x2(4x3−x2)(2)
Distribute:
=−3x2+−40x5+10x4
Answer:
=−40x5+10x4−3x2
Sophia scored 33 points in a basketball game. She scored four
more two-point baskets than three-point baskets.
Write a system of equations in standard form that models this
situation.
How many three-point baskets did Sophia make?
Answers
Answer:
Let's try to set up some equations. We'll say a is the number of 1-point shots, b the number of 2-point shots, and c the number of 3-point shots.
A basketball player scored 33 points in one game.
So a + 2b + 3c = 33
He scored four more 2-point baskets than he did 3-point baskets.
So b = c + 4
The number of free-throws equaled the sum of the number of 2-point and 3-point shots made.
So a = b + c
and since b = c + 4,
a = (c + 4) + c = 2c + 4
Substituting in a + 2b + 3c = 33,
(2c + 4) + 2 * (c + 4) + 3c = 33
which simplifies to
7c + 12 = 33
So c = 3, b = 7, a = 10
Answer:
The system of equations in standard form that models this situation are:
2x+3y=33
x-y=4
Mia can finish her math homework in 30 minutes. Every night there are 45 problems for homework. How many problems can she finish in 4 minutes?
Answers
45 problems 30 minutes
x problems 4 minutes
____________________
[tex] \frac{45.4}{30} = \frac{180}{30} = 6[/tex]
We learnt this way in Turkey.
Answer: 6 problems in 4 minutes
Step-by-step explanation: If there are 45 problem and she can do them in 30 minutes, then you divide 45 by 30 to see how many problems she can do in one minute. 45 problems/30 minutes = 1.5 problems per minute. Then, you multiply 1.5 by 4, because you need to see the 4 minute mark, and 1.5 x 4 = 6. So, your answer is 6 problems.
(brainly pls)
Which expression is equivalent to21^3 sqrt15 - 9^3 sqrt 15 ?
A.12
B.30^3 sqrt 15
C.12^3 sqrt 5
D.12^3 sqrt 15
I have tried to complete this And I get stuck like 15 mins into it.
Answers
Answer:
D.12^3 sgrt 15
Sana makatulong
The expression that is equivalent to the given expression is 12√15. Option D is correct.
Given that,
Which expression is equivalent to 21√15 - 9√15 is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the question,
= 21√15-9√15
= (21 - 9 )√15
= 12√15
Thus, the expression that is equivalent to the given expression is 12√15. Option D is correct.
Learn more about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
Before leaving for his book club meeting, Larry reads the last chapter in his book. The chapter is 15 pages long and contains 1,500 words. He reads the 15 pages in 10 minutes. How many words per minute does he read?
Answers
Answer: 150 wpm
Step-by-step explanation:
if he reads 1,500 words in 10 minutes, then we simply divide 1500 by 10, in order to get how many words that he can read in one minute.
1500/10 = 150
1. Jacob has $500 saved. He receives a gift of $100 as a graduation present.
Write an expression for the total amount of money he has.
Answers
what is the answer 4, 2, 1/2, or 1/4
Answers
Answer:
C. 1
2
Step-by-step explanation:
I can give u the show ur work steps if u want
Option c is the correct one!!
Pls help and SHOW WORKINGS....due ASAP
Answers
Answer:
(B). 50°
Step-by-step explanation:
(5x + 55)° = (2x + 100)°
5x + 55 = 2x + 100
5x - 2x = 100 - 55
3x = 45
x = 15
5(15) + 55 = 130°
m∠2 = 180° - 130° = 50°
3D In the cryptarithm shown, different letters stand for different digits, and no leading digit can equal 0. Find the greatest possible value of "OFF".
Answers
Answer:
1961
Step-by-step explanation:
The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.
S=9
A=8
U=7
T=6
N=5
986+975=1961
Answer:
955
Step-by-step explanation:
OFF = 955
hope this helps:)
1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero
Answers
Which is positive
The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?
Answers
Answer:
FV= 111,529.37 = 111,529
Step-by-step explanation:
Giving the following information:
Initial amount (PV)= 12,000
Growth rate (g)= 45% = 0.45
First, we will establish the future value formula:
FV= PV*(1+g)^n
FV= future value
n= number of days
FV= 12,000*(1.45^n)
For 6 days:
FV= 12,000*(1.45^6)
FV= 111,529.37
I don’t like math. Please help
Answers
Answer:
y - 1 = 4/5 (x + 2)
Step-by-step explanation:
the formula for point slope form is y - y = m (x - x)
if any of the number of the point is negative, then it would be a positive when in the equation. y - 1 = 4/5 (x - (+ x))
Answer:
C
Step-by-step explanation:
A gym in your neighborhood has two payment options.
Option 1 charges a $0 sign up fee with $8 per visit.
Option 2 changes a $23 sign up fee with $2 per visit.
How many times would you need to visit the gym per month in order for the two
options to be equal? Round your answer to the nearest visit. please helppp
Answers
0+8x=23+2x
6x=23
x=3,8333
10 POINTS!!!!
do the question in the image
Answers
Answer:
4x+3=27
Step-by-step explanation:
So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27
Which statement is a refusal strategy?
O "I will try it once, but that's it."
"I like to use a different brand."
O "My parents will be very disappointed in me."
O "My friends and I prefer weed to what you are using."
(Posting this in math so people see it)
Answers
Answer:
2.) "My parents will be very disappointed in me."
Step-by-step explanation:
This is the only explanation that will get you out of any bad situations.
1.) I'll try it once: if you try it once, you'll be hooked on it forever.
2.) Correct answer: Only way to get out of a situation like this affectively.
3.) My friends and I prefer weed: This would still suggest you still use drugs.
(I think it's smart to post it in math! :)
Which equation is NOT a linear function?
Answers
Answer:
y=x^2-2
Step-by-step explanation:
It should be this one because if you have x squared it will be a parabola. A line should have a consistent slope. so Somethingx + y intercept =y
Plot the point (-3,6). Plot the point (4, -5).
Answers
Step-by-step explanation:
Go left 3 and then up 6 then make a dot
Go right 4 thend own 5 then make a dot
I hope this helps
Describe the strength and sign of the relationship you expect for each pair of variables. Explain your reasoning.
Used car price and original sale price of the car.
Used car price and number of cup holders in the car.
Used car price and number of oil changes the car has had.
Used car price and number of miles the car has been driven.
Answers
Answer:
i dont get it
Step-by-step explanation:
If each letter represents a different nonzero digit,what must Y be?
A. 7
B. 6
C. 9
D. 8
Answers
Answer:
D
Step-by-step explanation:
With only 4 options, I substituted the possible numbers for Y. When substituting Y for 8, the right hand column wrote:
8 - Z = 4
Another way to think of this is 8 - 4 = 4.
When using 8, Z must equal 4.
Take this information to the left hand column.
8 - Z = Z
We know Z equals 4 so plug this information in. Is it correct?
8 - 4 = 4
This is correct.
Therefore, the answer is 8, or D.
Please solve!! :)
-3 lx+4l= -6
Answers
Answer:
x = -2, -6
Step-by-step explanation:
I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)
what value of x makes this statement true?
3x=2x+12
A) 2
B) 5
C) 6
D) 12
Answers
Answer:
The value of x = 12, makes the statement [tex]3x=2x+12[/tex] true
Option D is correct option.
Step-by-step explanation:
What value of x makes this statement true?
[tex]3x=2x+12[/tex]
We need to solve the equation to find value of x
[tex]3x=2x+12[/tex]
Subtract 2x on both sides
[tex]3x-2x=2x+12-2x\\x=12[/tex]
So, the value of x is: x=12
So, The value of x = 12, makes the statement [tex]3x=2x+12[/tex] true
Option D is correct option.
what does 8+2y-5x+y=x-1
Answers
The value of x is 1/2y+3/2
Answer:
y = 2x - 3
Step-by-step explanation:
8 + 2y - 5x + y = x - 1
3y = 6x - 9
y = 2x - 3
slope is 2, y-intercept is -3
i realllllllllllllllllllllly neeeeeeddddd help on this one pleaseeeeeeeeeeeeeeeeeeeeee
Carlos traveled at an average speed of 70 miles per hour for 2.5 hours and then traveled at an average speed of 80 miles per hour for 3.5 hours. What was the total distance in miles that Carlos traveled during that time
Answers
Answer:
70 * 2.5 = 175
80 * 3.5 = 280
175 + 280 = 455 miles all together
Step-by-step explanation:
I hope this helps :)
A salesperson makes a 35% commission and makes a sale for $425. Determine the commission the salesperson will make.
Answers
hope this helped
An airplane is flying from knoxville to new york. The distance it travels in miles, d, is related to the time in seconds, t, by the equation: d=0.12t. How many miles is it flying per second?
Answers
Answer:
0.12 miles is it flying per second.
Step-by-step explanation:
The distance d is related to time t in seconds is given by the equation as follows :
d =0.12 t
We need to find how many miles is it flying per second.
[tex]\dfrac{d}{t}=0.12\\\\\dfrac{\text{miles}}{\text{second}}=0.12[/tex]
So, the speed of the airplane is 0.12 miles per second, Hence, 0.12 miles is it flying per second.
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answers
Answer:
1 2/7
Step-by-step explanation:
i did the math :) ................
