The Answer to the about question rational exponents and radicals is given below.
How to solve this question?To solve the first part Let us assume a expression (E) that contains rational exponents
E = 6² / ( 9[tex]\frac{2}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / ( (3²)[tex]\frac{2}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / ( 3[tex]\frac{4}{3}[/tex] × 3[tex]\frac{5}{3}[/tex] )
E = 6² / 3[tex]\frac{9}{3}[/tex]
E = 6² / 3³
E = 36/27 = 4/3
E = 4/3
To solve the second part Let us assume a expression (F) that contains radicals.
F = 10 × √(∛(59 +5))
F = 10 × √(∛64)
F = 10 × √(∛(4×4×4))
F = 10 × √4
F = 10 × √(2×2)
F = 10 × 2
F = 20
Thus we have simplified the expression that contains rational exponents and also the expression that contains radicals also.
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To simplify an expression with rational exponents, we multiply the exponents together. To simplify an expression with radicals, we can find the square root of the number.
Explanation:An expression with rational exponents that can be simplified further is:
To simplify this expression, we can use the rule that states when we raise an exponent to another exponent, we multiply the exponents together. Therefore, (161/4)3/2 = 161/4 * 3/2 = 163/8.
An expression with radicals that can be simplified further is:
To simplify this expression, we can find the square root of 32. The square root of 32 can be simplified as follows: √(32) = √(16 * 2) = √(16) * √(2) = 4√(2).
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4) Use the figure below to answer parts A and B. Show your work. (4 Points)
A.)Explain, in words, a series of rigid motions that would map ∆MJS onto ∆DWP.
B.)Write the ordered-pair rule for each transformation in the sequence
Suppose A and B are points. How many lines contain both A and B?
Hank's pickup can travel 42 miles on 3 gallons of gas. How many gallons will Hank's pickup need to travel 28 miles?
Answer:
The person is right it's 2 gallons of gas to travel 28 miles
Step-by-step explanation:
A train travels 128 km in 2 hours and 30 minutes. What is its average speed in km/min?
1 hour = 60 minutes
2 hours = 120 minutes +30 = 150 minutes total
128 / 150 = 0.853 km/min
is the choice vertical angle theorem correct?
How to write 0.924 in two other forms
Mayumi is constructing a line through point P that is perpendicular to RS←→. A horizontal line segment R S and a point P are drawn. The point P is above the horizontal line segment R S. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc? It must be greater than 12RS. It must be equal to PS . It must be wide enough so that the arc intersects RS←→ in two points. It must be equal to PR .
Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.
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Correct answer:
It must be wide enough so that the arc intersects RS←→ in two points.TWO EASY QUESTIONS 8TH GRADE MATH
9. Complete the missing steps in the paragraph proof of Theorem 3-8.
11. Solve for the value of x in the triangle shown below. Show your work! (1 point for equation, 1 point for answer)
Find the 40th term of the following arithmetic sequence:16,6,-4,-14
The transitive property of equality states that:
if a = b, then b = a
if a = b, then ac = bc
if a = b and b = c, then a = c
if a = b and c = c, then a + b = b + c
Answer: The correct option is
(C) if a = b and b = c, then a = c.
Step-by-step explanation: We are given to select the correct statement for the transitive property of equality.
We know that
if x, y and z are three real numbers, then the transitive property of equality states that
if x = y and y = z, then x = z.
So, for reals a, b and c, the property states that
if a = b and b = c, then a = c.
Option (C) is CORRECT.
What 8 letter word can have a letter taken away and it still makes a word. take another letter away and it still makes a word. keep on doing that until you have one letter left - that is still a word. what is the 8 letter word...and what are the other smaller words?
Simplify (x3+ 8x + 5) − (2x2− 3x − 12). −x2+ 11x + 17 x3− 2x2+ 11x + 17 −x2+ 5x − 7 x3− 2x2+ 5x − 7
Write a linear model for the cost of tickets based on the number of tickets a fan buys.
What is the value of x?
x−25=7
Enter your answer in the box in simplest form.
x =
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Translate each phrase into a numerical expression.
Twice the opposite of eleven.
Twice the opposite of eleven will be 2(-11).
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Opposite of eleven = negative of eleven
Opposite of eleven = -11
Twice = multiply by two
So,
Twice the opposite of eleven = 2(-11) = -22
Hence "Twice the opposite of eleven will be 2(-11)".
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3(x−7)=6(x−10)
Solve For X
3x-21=6x-60
If x y z are positive integers and 3x = 4y = 7z, then the least possible value of x + y + z is
Martin drew a pair of perpendicular lines and a pair of parallel lines.which of these statements best compares the pairs of perpendicular and parallel lines?
What is the degree of 12x⁴-8x+4x²-3
A)12
B)4
C)3
D)8
what is f(-5) if f(x) equals |2x-1|+10?
Answer:
The value of the function for f(-5) is 21.
Step-by-step explanation:
Consider the provided function.
[tex]f(x)=|2x-1|+10[/tex]
We need to find the value of the function for f(-5).
Substitute the value of x=-5 in the above function.
[tex]f(-5)=|2(-5)-1|+10[/tex]
[tex]f(-5)=|-10-1|+10[/tex]
[tex]f(-5)=|-11|+10[/tex]
The absolute value of -11 is 11.
[tex]f(-5)=11+10[/tex]
[tex]f(-5)=21[/tex]
Hence, the value of the function for f(-5) is 21.
Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108
if kyra cuts a 12" string into 3/4 strips for her art project , how many strips will she have
A) 9
B) 12
C) 15
D) 16
Answer:
Kyra will have 16 strips of 3/4".
Step-by-step explanation:
This is a case of a division where we have to divide the 12" string in pieces of 3/4", this is:
[tex]NumberStrips=12/\frac{3}{4} =16[/tex]
Kyra will have 16 strips of 3/4".
The current diameter of a tree trunk is 10 inches. the trunk diameter increases at a rate of 2 inches per year. an insect burrows into the trunk and lays its eggs in the secondary xylem, 1 inch out from the center of the tree. how far from the center will the dormant eggs be located in two years?
Solve each system by substitution {4p+2q=8 and q=2p+1} {x+6y=2 and 5x+4y=36}
Evaluate the expression for x = –3
Solve for y, give the slope and y intercept 5y=20, -y + 3=15x, y +1/3x=17
What is the value for x?
Enter your answer in the box.
Which set of integers is a pythagorean triple?
a. 2, 3, 6
b. 3, 4, 5
c. 4, 5, 9
d. 5, 7, 12?
My number has nine digits it is evenly divisible by 100 the value of one of the digits is 700,000 the digit in the millions place is both even and prime the digit in the hundreds place is the temperature at which water freezes the digit in the ten millions place is triple the number in the millions place the digit in the thousands place is the number of fluid ounces in a cup the digit in the hundred millions place is a special number because it is a factor of every number.
Help I can’t answer this math question!!!