Answers
Answer:
x^ \frac{m}{n} = \sqrt[n]{x^m}x
n
m
=
n
x
m
and
(x^m)^n=x^{mn}(x
m
)
n
=x
mn
so
x^ \frac{3}{5} = \sqrt[5]{4^3}x
5
3
=
5
4
3
but wait, there's more
4=2², so
x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x
5
3
=
5
4
3
=
5
(2
2
)
3
=
5
2
6
=
2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2
5
6
=(2
5
5
)(2
5
1
)=2
5
2
also, 4^3=64
Related Questions
Find L when P= 24 and W = 6.
P = 2L+ 2W (perimeter of a rectangle)
L =
Answers
Answer:
6
Step-by-step explanation:
24 = 2L + 2(6), multiply...
24 = 2L + 12, subtract 12 to both sides...
12 = 2L, divide 2 to both sides to isolate the varibale L
6 = L
Therefroe, L = 6
Keri invests £500 into an account that pays 5.5% compound interest per annum. Work out how much money Keri will have in her account after 16 years.
Answers
Answer:
500×1.055^16=1177.63
You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years
Answers
The amount is $7327.49 and the interest is $1327.49.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
After plugging the given information we have
how do i solve -3x=-2
Answers
Answer:
x = -2/-3
Step-by-step explanation:
since you have your variable on one side and your whole number on the other, divide by -3 on both sides to get x=-2/-3
Write an expression to represent:
One less than the quotient of four and a number x
Answers
Answer:
Hi again
4/x-1
Step-by-step explanation:
Same thing
4÷x is 4/x
Less 1
4/x-1
Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 0.
y = 3x + 4
(x, y)
-2
0
2
Enter answer
Answers
Answer:
[tex]y = 3x + 4 = 3(0) + 4 = 4[/tex]
(x,y) = (0,4) is the right answer.This equation has one solution.
5(r–1) + 3r =7(r + 1)
What is the solution?
Answers
Answer:
R=12 is the solution
I don't know how to explain but it needs to be 20 characters
HEEYY GUYS CAN U HELP MEE
Answers
Step-by-step explanation:
3-The two lines cannot intersect
Which expressions are equivalent to 6a(5+d) ?
SELECT EACH CORRECT ANSWER (theres more than 1)
30a+6ad
(6a⋅5)+(6a⋅d)
11a + d
30a+(6a⋅d)
30ad
Answers
Answer:
first, second and fourth
Step-by-step explanation:
If you use distribution,
6a(5+d) is the same as
6a(5) + 6a(d)
Multiplied = 30a + 6ad
So it's the 1st 2nd and fourth choice.
1st is stated above when multiplied out and combined.
2nd is after distribution.
4th choice is basically combination of 1 and 2 where one is combined (first term) and the second one just set up to be multiplied.
It cannot be third because you are multiplying the factors and not adding so you cannot have 11a.
It cannot be last choice because you have different types of terms that cannot be combined (one with a alone and one with ad)
Answer:
(6a*5) + (6a*d)
30a + 6ad
30a + (6a*d)
Step-by-step explanation:
Hope you ace your test!
Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 18 options:
A)
Impossible to determine.
B)
ΔGCB ∼ ΔGFE
C)
The triangles are not similar.
D)
ΔBCG ∼ ΔEFG
Answers
Answer:
C. The triangles are not similar
Step-by-step explanation:
For two triangles to be considered similar, the 3 angles of one triangle must be equal or congruent to the corresponding 3 angles of the others.
The only angle in ∆BCG that is equal to the corresponding angles in ∆EFG is <BGC. The remaining 2 angles in ∆BCG are not congruent to the corresponding 2 angles in ∆EFG.
Therefore, we can conclude that both triangles are not similar.
Please help if you know it.
Answers
Answer:
[tex]\frac{16n^{6} }{m^{9} }[/tex] is the answer
Step-by-step explanation:
What are the solutions of 15 ≤ 5 – 2(4m + 7)
Answers
_
Distribute through the parentheses / Move the variable to the left-hand side and change its sign/ Calculate the difference/ Divide both sides of the inequality by /
Answer:
m = (-∞, -3]Step-by-step explanation:
Solving in steps:
15 ≤ 5 – 2(4m + 7)15 ≤ 5 - 8m - 148m ≤ - 9 - 158m ≤ - 24m ≤ -24/8m ≤ -3m = (-∞, -3]Find the area of square that has the same perimeter as a rectangle whose length and breadth are 18cm and 8cm respectively
Answers
Answer:
169
Step-by-step explanation:
The perimeter of the square and rectangle are said to be the same. Therefore we have to find the perimeter which is :Perimeter of a rectangle= 2(length+breath)
2(18 + 8)
2(26)
52.
A square has four equal sides.
The length will be determined by dividing 52 by 4
[tex]52 \div 4 = 13[/tex]
The length is 13.
Since the area of a square is
[tex] {l}^{2} = {13}^{2} [/tex]
L is length.
The answer is
[tex] {169}^{2} [/tex]
Admission to the Chesterfield County Fair is $10. Once you are inside, it costs x dollars to go on each ride. When Naomi went to the fair last weekend, she went on 4 rides. Pick all the expressions that represent how much Naomi spent at the fair.
10+4x
40x
4+10x
10+x+x+x+x
Answers
Answer
The answer is 10 + 4x.
Step-by-step explanation:
Our base cost to enter is 10 dollars, and it is 4 dollars for each ride. Therefore, 10 dollars + 4(number of rides) = our total cost that Naomi spent at the fair.
Answer:10+
Step-by-step explanation:
The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18
Answers
Answer:
Option A: 17,18,19 is the right answer.
Step-by-step explanation:
Let x be the first integer then the next two consecutive integers will be x+1, x+2
According to the given statement, the equation will be:
[tex]x + (x+1) + (x+2) = 54[/tex]
The equation is a linear equation in one variable, we have to solve the equation to get the values of integers
[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]
Second integer = x+1 = 17+1 = 18
Third integer = x+2 = 17+2 = 19
The three integers are: 17,18 and 19
Hence,
Option A: 17,18,19 is the right answer.
Answer:
option a is the right answear trust
Step-by-step explanation:
help please thanks very much
Answers
Answer:
the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3
Answer:
the answer is 18
Step-by-step explanation:
20:3=workers:casiers
120:x
cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18
hope this helps :)
algebra 2 inverse functions
Answers
Answer:
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Step-by-step explanation:
When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.
Given function is:
{(8,1), (-1,2), (10,5), (-3,-3)}
Reversing the order of elements of ordered pairs will given us the inverse function.
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
please help asap no trolls!!
*this ones a bit harder but i wanna see who gets it right first :)*
Answers
Answer:
[tex]\triangle TRS\ congruent\ to\ \triangle ZYX\\[/tex]
Step-by-step explanation:
[tex]Lets\ consider\ \triangle TRS\ and\ \triangle ZYX\\Hence,\\TR=ZY\\TS=ZX\\RS=XY\\Hence,\\The\ SSS\ Congruency\ Tells\ us:\\'If\ three\ sides\ of\ one\ triangle\ corresponds\ to\ the\ three\ sides\ of\ the\\ other\ the\ triangles\ are\ congruent'\\Hence,\\\triangle TSR\ is\ congruent\ to\ \triangle ZYX.\\Note: We\ cannot\ apply\ SSS\ Congruency\ between\ \triangle TSR/ZYX\\ and\ \triangle HIJ\ as\ HI\ isn't\ equal\ to\ any\ of\ the\ sides\ in\ \triangle TSR/ZYX[/tex]
R
b) In the given figure, show that triangle PQR is a right angled triangle.
Answers
Answer:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Step-by-step explanation:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in Δ PRS
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then
PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
PR = [tex]\sqrt{25}[/tex] = 5
Using the converse of Pythagoras in Δ PQR
If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.
QR² = 13² = 169
PR² + PQ² = 5² + 12² = 25 + 144 = 169
Thus Δ PQR is a right triangle, with right angle at P
Simplify (4^2)^5
^ = exponent please help will award the Brainlyest
Answers
Answer:
Step-by-step explanation:
Here you go mate'
step 1
(4^2)^5 equation
step 2
(4^2)^5 multiply the equation 5 times
(4^2)(4^2)(4^2)(4^2)(4^2)
step 3
(4^2)(4^2)(4^2)(4^2)(4^2) solve
4^10
answer
4^10=1048576
Show 1 1/4 on a number line out of 4
Answers
Moving company A charges you a flat rate of $30, plus $1 for every mile you move. Moving company B charges you a flat rate of $20, plus $2 for every mile you move. How many miles would you have to move so that each moving company would charge you the same total amount
Answers
Answer: 10 miles
Step-by-step explanation:
Given that :
Company A:
Flat rate = $30
Charge per mile = $1
Company B:
Flat rate = $20
Charge per mile = $2
Let x = number of miles
Company A total :
30 + x
Company B total :
20 + 2x
Miles needed To get the same total :
30 + x = 20 + 2x
30 - 20 = 2x - x
10 = x
Hence, 10 miles will be moved
please help asap no trolls!
Answers
Answer:
angle wyx that is angle y is largest as it's the opposite angle to the largest side of a triangle
tap on image to see it all.....I really need this answer please
Answers
Answer:
180-44=136 is d
then 180-136=44 44/2=22
c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees
When was 2011 gone to 2021 what is the difference in years?
Answers
Answer:
10 is the difference
Answer:
Economics gone down and nature gone up
Question 5 of 7 -
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function
Amount Raised
Answers
Answer:
b and E
Step-by-step explanation:
B.If Rick walks 0 miles, he will raise $60.
E.
For each mile that Rick walks, he will raise an additional $60.
The total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
Given that,
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function amount raised is to be determined.
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,
Let the total amount raised be y,
Amount raised per x mile is 60x,
And initial raise = 60
Total raise = y = 60 + 60x
Thus, the total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ6
Apply the distributive property to factor out the greatest common factor.
55 + 35
Answers
Answer:5(11+7)
Step-by-step explanation:
34.65 divided by 1.5
Answers
Step by step explanation:
33.65/1.5 - divide the terms
23.1
the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees
Answers
Answer:
In principle, minimum wages can be set for an hour of work, a week of work, or a month of work (see section 1.8 for a review)
Use a matrix to solve the system! NEED HELP ASAP
Answers
Step-by-step explanation:
hope this helps, happy learning