Answers
Answer:
The simplified form is [tex]\frac{6}{5x^{10} }[/tex] ⇒ A
Step-by-step explanation:
To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the rootLet us solve the question
∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]
→ At first, divide simplify the coefficient of the variable
∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]
∵ 36 = 6 × 6 and 25 = 5 × 5
→ 6 and 5 repeated twice then the can go out the root one 6 and one 5
∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]
→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]
∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]
→ To cancel the root divide the power by 2
∵ -20 ÷ 2 = -10
∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]
→ To change the power of x from (-) to (+) reciprocal x
∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]
∴ [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]
∴ The simplified form is [tex]\frac{6}{5x^{10} }[/tex]
Related Questions
Will give BRAINLIEST if someone answers both ;)
Answers
Answer:
1. (b)................
2. (d)................
Answer:
1. Letter B [tex]4\frac{5}{8}[/tex]
2. Letter D 11.4
Step-by-step explanation:
You just need to multiply for both questions.
Hope this helps and pls do mark me brainliest if you can:)
What goes in the middle box to get 1/5? Help!
Answers
Answer:
18/18
Step-by-step explanation:
Glad to help!
Write the equation of the line with the slope of -6 passing through the point ( − 8 , 0 ).
Answers
Answer:
y=-6x+48
Step-by-step explanation:
Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.
Answers
Answer:
1/50 or 20/1000(same thing but simplified)
Step-by-step explanation:
The photo shows an overhead view of airport runways. Determine whether each pair of lines appear to be parallel or perpendicular
Parallel or perpendicular
Lines 2 and 3
Lines 1 and 3
Lines 1 and 2
Answers
Answer:
Lines 2 and 3
Step-by-step explanation:
Lines 2 and 3 are parallel lines.
Lines 1 and 3 are perpendicular lines.
The lines 1 and 2 are perpendicular lines.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Given:
The photo shows an overhead view of airport runways.
Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
From the diagram,
Lines 2 and 3 are parallel lines.
Lines 1 and 3 are perpendicular lines.
The lines 1 and 2 are perpendicular lines.
Therefore, lines 2 and 3 are parallel lines and lines 1 and 3 and lines 1 and 2 are perpendicular lines.
To learn more about the parallel lines;
brainly.com/question/16701300
#SPJ2
1/2 (2r + 4) - 1/4 (16 - 8)
Answers
Answer:
R
Step-by-step explanation:
1/2(2r+4)-1/4(16-8)
r+2 - 1/4(8)
r+2-2
r
What is 4.5231 rounded to the nearest thousandth?
Answers
how do i find the inverse of this?
Answers
Answer:
To find the inverse, interchange the variables and solve for y.
f−1(x)=√x+2−8,−√x+2−8
Please help!!! Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
I
Answers
Answer:
22 posts
Step-by-step explanation:
on the side of 20 feet you have 5 fence posts each in including one on each of the corners. On the 35 feet side you would have 8 including the corners, but since the corner posts are done its 6 on each 35 feet side. So you get 5+5+6+6=22
Evaluate the following question for f(-2):
f(x)=3x+2
Answers
Answer:
f(-2)= -4
that should be the answer
Write the following equation in standard form.
y=-3/7x-3
Answers
[tex]y = - \frac{3}{7}x - 3 \\ [/tex]
Multiply sides by 7
[tex]7y = - 3x - 21[/tex]
Plus sides 3x
[tex]3x + 7y = 3x - 3x - 21[/tex]
[tex]3x + 7y = - 21[/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
What causes changes of states in matter?
A. thermal energy/heat
B. molecules
C. air
D. melting
Answers
Answer:
A. thermal energy/heat.
Addison works at a pet store. She worked less than 40 hours last week.
Create an inequality that represents the number of hours, n, Addison worked last week.
Answers
Answer:
Step-by-step explanation:
Let the number of hours she worked last week be n. If Addison worked less than 40 hours last week, this is expressed as:
n < 40 here < represents the less than sign. This means that Addison cannot work for any hour that is 40 and greater, she can only work for hours less than 40 e.g 39, 38hr etc.
The correct inequality expression is n< 40
dai is comparing how many trading cards he has with his friend maura. initially they find that dai has four more cards than twice the number maura has
Answers
Answer:
B) [tex]2n+4[/tex]
Step-by-step explanation:
The question states that Dai has 4 more cards than twice the number of cards Maura has.
"more" - add
"twice" - multiply by 2
Let n be equal to the number of cards that Maura has.
Let D be equal to the number of cards that Dai has.
When we translate this into an equation, we would get something that looks like...
[tex]D=2n+4[/tex]
Since Dai has four more cards than twice the number of cards Maura has, 2 times the number of cards Maura has plus four is equal to the number of cards Dai has. Hopefully this is easier to understand written like an equation!
Therefore, the expression would be [tex]2n+4[/tex].
I hope this helps!
alfred drove 114 miles in 3 hours. if alfred drove at a constant rate, how fast did he drive in miles per hour?
Answers
Answer:
38 miles per hour
Step-by-step explanation:
114 miles divided by 3 hours
38 miles per hour
Hope I helped :)
Please consider Brainliest :)
I have ti find the two solutions to this equation. This problem deals with imaginary numbers i
[tex] {3x}^{2} - x + 4 = 0[/tex]
Answers
Answer:
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
Step-by-step explanation:
Use the quadratic formula.
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{1 - 48}}{6} [/tex]
[tex] x = \dfrac{1 \pm \sqrt{-47}}{6} [/tex]
[tex] x = \dfrac{1}{6} \pm \dfrac{i\sqrt{47}}{6} [/tex]
[tex] x = \dfrac{1}{6} + \dfrac{i\sqrt{47}}{6} [/tex] or [tex] x = \dfrac{1}{6} - \dfrac{i\sqrt{47}}{6} [/tex]
what is 10/4 as a decimal
Answers
Answer:
2.5
Step-by-step explanation:
Answer: 2.5
Step-by-step explanation: 10 divided by 4 equals 2.5
Use the graph shown to fill in the blank
When x= 1, then y=
Answers
Answer:
y=-2
Step-by-step explanation:
PLS ANSWER FAST PLS Last year, 320 students were members of Pine Hill Middle School clubs. This year, there was a 20% increase in memberships. How many students are members this year?
Answers
Answer:
384
Step-by-step explanation:
First find 20% of 320
320 x .2 = 64
So this year, there is an increase of 64 students.
Add that to last year's 320
320 + 64 = 384
If a student uses a ruler like this to measure the length of their foot, which choices would be appropriate measurements?
Answers
Answer:
Brannock device or a ruler measuring from your heel to the longest toe
Step-by-step explanation:
Answer:
inches. i think. /: l
Step-by-step explanation:
Which equation has infinitely many solutions?
12 + 4x = 6x + 10 – 2x
5x + 14 – 4x = 23 + x – 9
x + 9 – 0.8x = 5.2x + 17 – 8
4x – 2x = 20
Answers
Answer:
Bbbbbbbbbbbbbbbbbbbbbb
Harry is bundling magazines to recycle he notices that 4 magazines weigh 3/8 pound in all and that the magazines all weigh the same amount. What is the unit rate for pounds per magazine?
Answers
Answer:
5/32 per Magazine
Step-by-step explanation:
pounds per magazine = pounds/magazines = (5/8)/4 = 5/32 pounds per magazine
Answer: 0.156
Step-by-step explanation:
5/32, but as a decimal its 0.1563, so rounded to 0.156.
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :3
I have to do what the image below says but I don't know how to write it:,)
Answers
Answer:
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
Plzzzzzzz help ppllz
Answers
Answer:
x=25
Step-by-step explanation:
Given
What are the coordinates of the image of the point (1-, 2) under a dilation of 3 with the origin
Answers
Answer:
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Step-by-step explanation:
Correct statement is:
What are the coordinates of the image of the point (1, -2) under a dilation of 3 with the origin.
From Linear Algebra we get that dilation of a point with respect to another point is represented by:
[tex]\vec P' = \vec R + r\cdot (\vec P-\vec R)[/tex] (Eq. 1)
Where:
[tex]\vec R[/tex] - Reference point with respect to origin, dimensionless.
[tex]\vec P[/tex] - Original point with respect to origin, dimensionless.
[tex]r[/tex] - Dilation factor, dimensionless.
If we know that [tex]\vec R = (0,0)[/tex], [tex]\vec P = (1, -2)[/tex] and [tex]r = 3[/tex], then the coordinates of the image of the original point is:
[tex]\vec P' = (0,0) +3\cdot [(1,-2)-(0,0)][/tex]
[tex]\vec P' = (0,0) + 3\cdot (1,-2)[/tex]
[tex]\vec P' = (3,-6)[/tex]
The image of the point (1, -2) under a dilation of 3 is (3, -6).
Answer this please, what is B and C
Answers
C = 144 degrees
Answer:
b = 114 degrees
c = 33 degrees
Step-by-step explanation:
33 +c+b=180
c≅ 33
33+33+b=180
66+b=180
y=-3x-1 find slope and y interceapt
Answers
Slope = - 3
y-int = - 1
Step-by-step explanation:Understanding slope intercept
y = mx + b
y = Slope(x) + y-intercept
y = -3x - 1
y = (-3)x + (-1)
Slope = - 3
y-int = - 1
Hope this helps,
For question A, I figured out one of the expressions is n^2+2, but I need two, and I have no idea what the second one could be.
For B, I figured out it’s a Quadratic function, but I need help explaining why.
For C, I have nothing.
Answers
Tyler and his children went into a bakery and will buy cupcakes and donuts. He must
buy a maximum of 11 cupcakes and donuts altogether. Write an inequality that would
represent the possible values for the number of cupcakes purchased, c, and the
number of donuts purchased, d.
Answers
Answer:
c plus d is less than or equal to 11
Step-by-step explanation:
The table below shows the relationship between the number of cars sold and the amount of money earned by the car salesperson. Is the amount of money earned, in dollars, proportional to the number of cars sold?
Answers
Answer:
No, it is not proportional.
Step-by-step explanation:
This can be determined by looking at the first two items in the chart. I have looked at them all to find a certain pattern, but there wasn't any. The salesman earns $250 for one car sale, and he also earns $600 for two car sales, while this seems like it's just adding a $100 bonus, if you look at the third item on the chart adds a $200 bonus. You could be thinking that this is just adding a $100 bonus for how many cars were sold before, but then you move onto the fourth item on the chart. Which would give you $1,300 if the pattern was continued, yet instead the amount listed is $1,076.