Answers
The value of the expression is [tex]\frac{m^4}{n^2}[/tex].
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex](m^{2/3}n^{-1/3})^6[/tex]
This can be simplified as,
[tex]m^{2/3 \times6}[/tex] x [tex]n^{-1/3 \times 6}[/tex]
=[tex]m^{2\times2}[/tex] x [tex]n^{-1 \times2}[/tex]
= [tex]m^4[/tex][tex]n^{-2}[/tex]
= [tex]\frac{m^4}{n^2}[/tex]
Thus,
The value is [tex]\frac{m^4}{n^2}[/tex].
Learn more about expressions here:
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To rewrite an expression using only positive integer exponents, apply the rules of exponentiation and simplify the expression.
Explanation:To rewrite an expression using only positive integer exponents, you can apply the rules of exponentiation. For example, if you have an expression like [tex]a^{-2}[/tex], you can rewrite it as [tex]\frac{1}{a^{2} }[/tex]
. Similarly, if you have a term with a negative exponent in the denominator, you can move it to the numerator and change the sign of the exponent to make it positive.
Here's a step-by-step example:
Start with the original expression. If there are negative exponents present, move them to the numerator or denominator as needed.Change the sign of the exponent to make it positive.Simplify the expression if possible.By following these steps, you can rewrite expressions using positive integer exponents.
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Related Questions
wo lengths of a triangle are shown. wo lengths of a triangle are shown. Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.Triangle J K L. Side J K is 5 inches and side J L is 10 inches. Which could be the length of Side K L? 4 in. 9 in. 16 in. 19 in.
Answers
Answer:
B/2: 9 inches
help meeeeeeeeeeeeeeee
Answers
Answer:
2 years
Step-by-step explanation:
Please help
Which shapes can be cross sections of the figure?
Check all that apply.
A,circle
B,rectangle
C,trapezoid
D,triangle
E,semicircle
Answers
Answer:
The answer is B,C, and D
Step-by-step explanation:
I GOT. THE. QUESTION. RIGHT. ON. EDUNUTITY
A circular plate has circumference 23.9 inches. What is the area of this plate?
Answers
Answer:
Rounded to the nearest thousandth: ≈45.479
Step-by-step explanation:
The formula for finding area using circumference is
[tex]\frac{c^2}{4\pi }[/tex]
c=23.9"
[tex]\frac{23.9^2}{4\pi }[/tex]
Since we're using 3.14 for pi, multiply 4 by 3.14, and continue from there.
[tex]\frac{23.9^2}{4(3.14)} = \frac{571.21}{12.56} = 45.47850318[/tex]
but we don't use that big number! We round to the nearest thousandth!
≈45.479
Answer:
46 inches^{2}
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex]
To work this out you would first need to divide 23.9 by pi to find out diameter.
Then you would divide the diameter by 2 to find the radius. Then you would multiply pi by the radius squared.
1) Divide 23.9 by [tex]\pi[/tex].
[tex]23.9/\pi=7.608[/tex]
2) Divide 7.608 by 2.
[tex]7.608/2=3.804[/tex]
3) Multiply pi by the radius squared.
[tex]\pi *3.804^{2} =45.4601526[/tex]
4) Round To nearest whole number.
[tex]46 inches^{2}[/tex]
a 3rd grade teacher has 55 students everyday if those 55 students turned into 100 students how many students would it be.
Answers
Answer:
45 because you have to subtract 100-55 which would equal 45
Answer:
Yeah it would be 45
Step-by-step explanation:
Because:
100 - 55 = 45
What is the greatest common factor of 4x^3
and 8x^2?
Answers
Answer:
the gcf is 4
Step-by-step explanation:
Final answer:
To find the greatest common factor of 4x³ and 8x², we look at the numerical coefficients and the variables separately. The GCF of the coefficients 4 and 8 is 4, and since x² is the lowest power of x common in both terms, the GCF is 4x².
Explanation:
The greatest common factor (GCF) of two expressions, like 4x³ and 8x², involves finding the highest degree of common terms they share. First, let's compare the numerical coefficients; 4 and 8. The GCF of 4 and 8 is 4. Next, we'll look at the variable part. The lowest exponent of x that appears in both terms is 2. Therefore, the GCF is the product of the GCF of the coefficients and the lowest power of x, which is 4x².
5
10. George, Sandy, Carlos, and Michelle all ate a piece of a whole
pecan pie. George ate 0.15 of the pie, Michelle ate of the pie,
and Carlos ate of the pie. Sandy ate more than two of her
friends, but less than the other one. What is a possible
percentage of the ple Sandy ate?
Answers
Answer:
0.150 < (Proportion of Sandy's pie) < 0.167
15% < (Percentage of Sandy's pie) < 16.7%
Step-by-step explanation:
Total percentage of pie = 100% or 1
George, Sandy, Carlos, and Michelle all ate a piece of the pie.
George ate a fraction of 0.150
Michelle ate a fraction of (1/6) = 0.167
Carlos ate a fraction of (1/7) = 0.143
The amount of pie left = 1 - 0.15 - (1/6) - (1/7) = 0.5405
And Sandy is known to eat more than two of her friends, but less than one of them.
Of the amount of pie eaten by the first 3 friends, (1/6) is the highest proportion.
Hence, it is evident that Sandy ate more than 0.143 and 0.150 (Carlos and George) but less than Michelle (0.167).
So, mathematically, the possible proportion of cake that Sandy ate is
0.150 < (Proportion of Sandy's pie) < 0.167
Hope this Helps!!!
Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four times the number of $5 tickets sold, and the club raised $1,152 from the ticket sales. Let x represent the number of $1.50 tickets sold and let y represent the number of $5 tickets sold. Solve the system of equations to determine how many of each ticket were sold. 1.5x + 5y = 1152
x = 4y – 2
Which one-variable linear equation can be formed using the substitution method?
How many $5 raffle tickets were sold?
Which equation can be used to determine how many $1.50 raffle tickets were sold?
How many $1.50 raffle tickets were sold?
Answers
Answer:
see below
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
We can substitute the second equation into the first equation
Which one-variable linear equation can be formed using the substitution method?
1.5(4y-2) +5y = 1152
Distribute
6y -3 +5y = 1152
Combine like terms
11y-3 = 1152
Add 3 to each side
11y-3+3 = 1152+3
11y = 1155
Divide each side by 11
11y/11 = 1155/11
y = 105
How many $5 raffle tickets were sold?
105 5 dollar tickets were sold
Now we need to find the number of 1.50 tickets
Which equation can be used to determine how many $1.50 raffle tickets were sold?
x = 4y – 2
x = 4(105) -2
=420-2
= 418
How many $1.50 raffle tickets were sold?
418 $1.50 tickets were sold
Answer:
11y = 1155
$5 raffle tickets: 105
x = 4(105) - 2
$1.5 raffle tickets: 418
Step-by-step explanation:
1.5x + 5y = 1152
x = 4y – 2
1.5(4y - 2) + 5y = 1152
6y - 3 + 5y = 1152
11y = 1155
y = 105
x = 4(105) - 2
x = 418
Which of the following best describes the algebraic expression x/3-15
O
A. Three divided by a number minus fifteen.
O
B. A number divided by three less than fifteen.
O
C. Three divided by a number less than fifteen.
O
D. A number divided by three minus fifteen.
Answers
Answer:
D. A number divided by three minus fifteen.
In the diagram below, point U is on segment $\overline{BY}$ and the measure of angle BUG is 30 degrees greater than the measure of angle GUY:
Answers
Answer: 75
Step-by-step explanation:
We have angle BUG angle GUY = angle BUY = 180. If we let angle GUY = x, then
(x+30) + x = 180 Solving this equation gives x=75.
Using the definition of linear pair angles, the measure of angle GUY is: 75°.
What is a Linear Pair?A linear pair are two angles on a straight line whose sum equals 180 degrees.
Thus:
m∠BUG = m∠GUY + 30°
Therefore:
m∠BUG + m∠GUY = 180°
Substitute
m∠GUY + 30 + m∠GUY = 180 (linear pair)
2(m∠GUY) + 30 = 180
2(m∠GUY) = 180 - 30
2(m∠GUY) = 150
m∠GUY = 150/2
m∠GUY = 75°
Therefore, using the definition of linear pair angles, the measure of angle GUY is: 75°.
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Please answer this correct:):)
Answers
hope this helped :)
I would also love an explanation!
Answers
Answer:you go up one over three
Step-by-step explanation:
What does b mean, and how do I work out b and c? No need to answer a
Answers
A cylinder and a cone start with the same radius and height. The radius of the cone is then tripled, and the height of the cone is cut in half. The radius of the cylinder stays the same, but the height of the cylinder is doubled. Which change produces a greater increase in volume (i.e., which figure’s volume increases by a larger factor)? Justify your answer. Write “pi” for ''pi symbol'' and “r^2”.
Answers
Answer:
The change in the cone produces a greater increase in volume.
Step-by-step explanation:
Let's start with the cone.
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]
[tex]V = \frac{1}{3} \pi 3r^{2} \frac{h}{2}[/tex] (In your case, you would type V = 1/3pi3r^2h/2)
The changes that occurred are [tex]3^{2}[/tex] and [tex]1/2[/tex]. When we add these together we get [tex]9/2[/tex].
Now the cylinder.
[tex]V = \pi r^{2} h[/tex]
[tex]V = \pi r^{2} 2h[/tex] (In your case, you would type V = pir^2 2h)
The change that occurred is [tex]2[/tex].
[tex]9/2[/tex] is greater than [tex]2[/tex] which means that the change in the cone produces a greater increase in volume.
Answer:
Step-by-step explanation:
For the cone V k1= (Pi/3) .R squared .H
V k2= (pi/3) . (3R)squared . (H/2)=(9/2) .(PI/3) . R squared.H
=(3pi/2) R.squared.H
3pi/2
nk= 2/ pi/3
N k= 9/2
For the cylinder
V c1=Pi .R squared.H
V c2= Pi.R squared.(2H)
N c=V c2/V c1=2
Cone has greatest change in volume
Hope this helps!!!!!!!!
Point P partitions the directed line segment from A to B into the ratio 3:4. Will P be closer to A or B? Why
Answers
Final answer:
Point P will be closer to B than to A because the ratio of the partition is 4/7 which is closer to B than the ratio of 3/7 to A.
Explanation:
To determine whether point P will be closer to A or B, we need to consider the ratio of the partition. In this case, the ratio is 3:4. This means that the segment from A to P is 3/7 of the total segment, and the segment from P to B is 4/7 of the total segment.
Since the ratio of the partition is closer to B (4/7) than to A (3/7), point P will be closer to B than to A.
For example, if the distance from A to B is 7 units, the distance from A to P will be 3 units (3/7 * 7) and the distance from P to B will be 4 units (4/7 * 7).
If point P partitions the directed line segment from A to B into the ratio 3:4, then P will be closer to A. The ratio 3:4 means that the segment AP is 3 parts long while segment PB is 4 parts long, making PB longer than AP. The entire segment AB is therefore divided into 7 equal parts, with point P falling 3/7 of the distance from A and 4/7 from B. Since 3/7 is less than 4/7, P is closer to A.
find the value of c so that (x+2) is a factor of the polynomial p(x). p(x)=4x^3+cx^2+x+2
Answers
Answer:
c = 8
Step-by-step explanation:
Use synthetic division here; it's the fastest approach.
Given that (x + 2) is a factor, take -2 and use this as the divisor in synthetic division:
-2 4 c 1 2
-8 (-2c+ 16) (4c-34)
---------------------------------------------
4 (c - 8) (-2c + 17) 4c - 32
The remainder, 4c - 32, must equal zero if (x + 2) is a factor.
Then 4c - 32 = 0, and c = 8
Answer:
Altavistard is right, the answer is 8
Step-by-step explanation:
go look at altavistard...
My nephew was playing with a book and tore out the pages 7, 8, 100, 101, 222 and 223.
How many sheets did he tear out?
Answers
Answer:
Step-by-step explanation:
A sheet has 2 pages
6 pages are torn. So 6 ÷ 2 = 3 sheets
Answer:
3 pages
Step-by-step explanation:
7 and 8 are one page
100 and 101 are one page
222 and 223 are one page
He tore out 3 pages
A linear function has a slope of Negative StartFraction 7 Over 9 EndFraction and a y-intercept of 3. How does this function compare to the linear function that is represented by the equation y + 11 = Negative StartFraction 7 Over 9 EndFraction (x minus 18)?
Answers
Answer:
They are the same line written in different forms.
Step-by-step explanation:
Given a linear function with a slope of [tex]-\frac{7}{9}[/tex] and a y-intercept of 3.
The equation of the line in the slope-intercept form is given as:
[tex]y=-\frac{7}{9}x+3[/tex]
Given the other line,
[tex]y+11=-\frac{7}{9}(x-18)[/tex]
Simplified:
[tex]y+11=-\frac{7}{9}x+14\\y=-\frac{7}{9}x+14-11\\y=-\frac{7}{9}x+3[/tex]
The two lines are one and the same line.
Answer:
They are the same line written in different forms.
Evaluate 5 × (4.75 + 1.50) - 3 × 1.25
Answers
Answer:
The answer is 27.5
Answer:
25.50
Step-by-step explanation:
5(4.75+1.50)-3 x 1.25
23.75+5.50-3x 1.25
29.25-3x1.25
29.25-3.75
25.50
i neeeeeeeed heeeeeelp
Answers
The length of a rectangular field is represented by the expression "". The width of the field is represented by the expression "". How much greater is the length of the field than the width?
Answers
Answer:
The answer is A. 9x +4x^2 -5y
Step-by-step explanation:
In order to find the difference, subtract each terms.
in order for 5x to get to 14x you have to +9x
in order for -7x^2 to get to -3x^2 you have to +4x^2
and last, in order for 7y to get to 2y, you have to -5y
Hope it helps!
Answer:
The answer is A.
Step-by-step explanation:
Can you please help me out plz asap
Answers
Answer:
1. A
2. B
3. C
you have to judge the fraction based on the other dilations and the answer choices
can someone please help me out with this
Answers
Answer:
4 = 15
Step-by-step explanation:
Make them equal to each other first
2x+15=x+30
Put like terms together
x=15
Hope this helped
:)
The interquartile range is equal to what?
Answers
Answer:
Q3-Q1
Step-by-step explanation:
you are subtracting the highest and lowest values of a specific part of a set of numbers to get the range of a part of data
Can someone help me out please
Answers
Answer:
The slope is one. I cant graph it for you though. Try plotting the points then drawing a straight line down those points.
Step-by-step explanation:
The results of a survey indicate 50% of seventh-graders watch at least one movie
during the weekend. Based on this survey of a group of 50 seventh-graders, how
many will watch at least one movie this weekend?
Answers
Answer:
25 students
Step-by-step explanation:
50% of 50 is 25
50/2 = 25
Answer:25
Step-by-step explanation:
The total number of children is 50
So 50%of50children is
50/100×50=2500/100
=25
Construct a triangle with the given dimensions:
angle measure of 39°
angle measure of 76°
angle measure of 65°
You can create with the given measurements.
Answers
Answer:
you can make 3 different triangles by using the protector and setting the given angles.
Steps:-
1. Make a dot on the page.
2.Point the protector's intersecting point at the dot.
3.Now mark the given angle measurements as well as 0°.
Now connect the angle measurement with the dot and then dot with 0°
Find the exact volume of the cylinder.
A) 14π m3
B) 28π m3
C) 56π m3
D) 112π m3
(the height is 7 and the radius is 2)
Answers
Answer:
Option B) [tex]28\pi\text{ m}^3[/tex]
Step-by-step explanation:
We are given the following in the question:
Radius of cylinder, r = 2 m
Height of cylinder, h = 7 m
We have to find the volume of the cylinder.
Volume of cylinder =
[tex]V = \pi r^2 h[/tex]
where r is the radius and h is the height of the cylinder.
Putting values, we get,
[tex]V = \pi (2)^2(7)\\V = 28\pi\text{ cubic meter}[/tex]
Thus, the volume of cylinder is
Option B) [tex]28\pi\text{ m}^3[/tex]
Hi, love!!
The correct answer is listed below:
A) 14π m3
B) 28π m3
C) 56π m3
D) 112π m3
Question 1
Factor the following expression using the GCF. Type your factored expression below.
4xy + 12w + 12Z
Answers
Answer:
4(xy + w + z)
Step-by-step explanation:
The expression to be factored is:
4xy + 12w + 12z
Factoring an equation involves taking out common terms from the expression that will then make it more simpler and simplified.
To solve this problem, we need to find the factors of the given terms:
4xy
12w
12z
The numbers given as coefficients of the variables are;
4 12 12
A factor is any integer that divides a number evenly;
Factors of 4 are 1, 2 and 4
12 are 1, 2,3,4,6 and 12
The common factors between 4 and 12 are those numbers that can divide both digits:
These are 1, 2, and 4, they are common to both
Now, the greatest common factor is the highest of this factors which is 4
Therefore, the greatest common factor of 12 and 4 is 4
Also, xy, w and z has no common factors
Factoring
4xy + 12w + 12z = 4(xy + w + z)
Mathematics VI
Which property is represented by the following equation?
5 x 13 x 2 = 5x 2 x 13
Answers
Answer:
commutative
Step-by-step explanation:
-The ability to change the order to terms in a addition or multiplication problem.