Answers
Answer:
a. [tex]\sqrt{x^n}[/tex] = [tex]x^\frac{n}{2}[/tex]
b. [tex]\sqrt{x^n} = x^\frac{(n-1)}{2}\sqrt{x}[/tex]
Step-by-step explanation:
a) When n is even, then it is divisible by 2. Because of this, you can write:
[tex]\sqrt{x^n} = (x^n)^\frac{1}{2}[/tex][tex]\sqrt{x^n} = x^\frac{n}{2}[/tex]b) When n is odd, then n - 1 is even. This would make it divisible by 2, and there would be a remainder of 1, so we can write:
[tex]\sqrt{x^n} = (x^n^-^1^+^1) ^\frac{1}{2}[/tex][tex]\sqrt{x^n} = (x^n^-^1[/tex] × [tex]x)^\frac{1}{2}[/tex][tex]\sqrt{x^n} = x^\frac{(n-1)}{2}[/tex] × [tex]x^\frac{1}{2}[/tex][tex]\sqrt{x^n} = x^\frac{(n-1)}{2}\sqrt{x}[/tex]Related Questions
What is the answer. please do it in the simplest form.
Answers
Answer: 8 9/20 decimal... 8.45
Step-by-step explanation:
y=3x+14
2x-3y=-14
Substitution method
Answers
Y= -45
2x-3y=-14
y=3x+14
Write and solve a system of equation for each problem?
Ellen bought new fish for her home aquarium. She bought 4 Turquoise Guppies and 3 Sunburst Tetra GLO Fish and spent a total of $41.73. Danielle bought 3 Turquoise Guppies and 5 Sunburst Tetra GLO Fish for a total of $56.02. How much was one Turquoise Guppy.
Answers
Answer: Ellen: 4t + 3s = 41.73
Danielle: 3t + 5s = 56.02
t = $3.69 each
Step-by-step explanation:
with 4t + 3s = 41.73 and 3t + 5s = 56.02
you need yo eliminate s to get t so multiply 3t + 5s = 56.02 by -3/5 to get
-9/5t - 3s = -33.612 then add 4t + 3t = 41.73 to get
11/5t = 8.118 then divide 8.118 by 11/5 to get
t = 3.69
please please please help me quickly!
Answers
Answer:
45 and 155
Step-by-step explanation:
Answer:
45 and 155
Step-by-step explanation:
Please consider Brainiest! :)
Like a week before I left my other school we did pothagurium theory but now I have no idea how to do it. Can someone plz help???
Answers
Jeff bought a 5-gallon bucket of paint. He
used 1.25 gallons to paint his bedroom, then
he used two-thirds of the remaining paint for
his living room. How many gallons of paint
did he use to paint his living room?
of
Explain you answer!!
Answers
Answer:
2.5
Step-by-step explanation:
5-1.25= 3.75
two-thirds of 3.75 is 2.5
Which relationships have the same constant of proportionality between y and x as in the equation y = 1/3 x?
Answers
Answer:
C
Step-by-step explanation:
The x is 3 and the y is 1 so if you divide the x by 3 it is 1 which is the y.
The relationships which have the same constant of proportionality between y and x as in the equation y = 1/3x are C and E.
What is the slope of a line?The slope of a line is the ratio that determines the steepness as well as the direction of the line.
How to find the slope of a line?Let the two points on a line be [tex](x_{1} , y_{1} )[/tex] and [tex](x_{2} , y_{2 )[/tex]. The slope can be found as follows:
[tex]\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}[/tex]
The constant of proportionality in the given problem can be understood as the slope of the line. Thus the lines with their slopes as 1/3 will have the same constant of proportionality as the equation y = 1/3 x.
We can observe the graphs given and find their respective slopes. It can be done as follows:
Graph A:(3 - 0)/(0 + 3) = 1
Graph B:(3 - 0)/(1 - 0) = 3
Graph C:(1 - 0)/(3 - 0) = 1/3
Graph D:(29.1 - 4.8)/(9.7 - 1..6) = 3.111
Graph E:(0.8 - 0.5)/(2.4 - 1.5) = 1/3
Therefore, graphs C and E have relationships that have the same constant of proportionality between y and x as in the equation y = 1/3 x.
Learn more about slopes here-https://brainly.com/question/3493733
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Four students are given different boxes in the shape of rectangular prisms. The table shows the dimensions of each student's box.
Student
Box Length
Box Width
Box Height
Chris
612 inches
612 inches
14 inches
Guadalupe
712 inches
214 inches
20 inches
Jason
8 inches
9 inches
612inches
Katie
634 inches
514 inches
9 inches
Which student has the box with greatest volume?
Answers
Write two different fractions where the LCD (lowest common denominator) is 20.
Answers
Answer:
The answer is 1/4 and 2/5
Step-by-step explanation:
4 × 5 = 20
Answer:
20 40 and 20 60
Step-by-step explanation:
1. -3x+32= -x-12 2. 8x+16=x+9 3. 3x + 2 = 2x -55 I need all the steps to all three of those questions
Answers
Answer:
Step-by-step explanation:
1. - 3x + 32 = - x - 12
-3x + x = - 12 - 32
-2x = - 44
x = 44/2 = 22
2. 8x + 16 = x + 9
8x - x = 9 - 16
7x = - 7
x = - 7/7
= - 1
3. 3x + 2 = 2x - 55
3x - 2x = - 55 - 2
x = - 57
The question is stated in the image below:
Answers
Answer:
B
Step-by-step explanation:
That's your answer.....
Can someone help me out with this?
Answers
16 divided by -8 = - 2
im stuck on this someone please help
Answers
Answer:
Step-by-step explanation:
rewrite the following equation in slope-intercept form y-10=2 (x-1)
Answers
Answer:
slope-intercept form y-10=2 (x-1)
Step-by-step explanation:
Simplify
−
1
2
⋅
(
x
−
10
)
.
Tap for more steps...
y
−
10
=
−
x
2
+
5
Move all terms not containing
y
to the right side of the equation.
y=−x2+15
Rewrite in slope-intercept form.
y=−12x+15
Two accounts earn simple interest. The balance y (in dollars) of Account A after x years can be modeled by y=10x+500. Account B starts with $400 and earns 5% simple annual interest.
Answers
1)
A has a greater principal
2)
Principal of A is $500, the principal of B is $400, so A's principal is greater by $100
3)
Annual interest rate of A:
10/500 x 100
The interest rate of B is higher.
4) B's annual interest rate is 5% and A's annual interest rate is 2%, so B's is higher by 3%.
Hope this helps! Have a great Tuesday!
Otis measured the heights of several sunflowers. He found that their heights were 2,3,5,7, and 8 feet. Otis found that the mean was 5 feet and the range was 6 feet. Which numbers describe the center and spread of this data set? A. 6 feet describes the center, and 5 feet describes the spread. B. 8 feet describes the center and 2 feet describes the spread C. 5 feet describes the center, and 6 feet describes the spread D. 2 feet describes the center and 8 feet describes the spread.
Answers
Answer:
c
Step-by-step explanation:
The solution is : 6 feet describes the center, and 9 feet describes the spread
What is median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
here, we have,
The center of a data set is mostly considered as the median or the mean
Here mean is 6 (given). And median is also 6.
As 6 is exactly at the middle of the data set. (When arranged in ascending order)
Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.
Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.
To learn more on median click:
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ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer:
its 2 1/4
Step-by-step explanation:
1/2x2 is 1 whole. 3/4 plus 1/4 is 2 wholes. plus 1/4 which is 2 1/4.
Answer:
correct
Step-by-step explanation:
A customer must be no more than 12 years old to order from the kids’ menu at a restaurant.
Which number line below represents a, the age of a customer who can order from the kids’ menu?
Answers
Answer: I am not a big fan of this app but it has been crashing since I downloaded the update so it could have a little bit of an issue.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which of the following is the cross-section of these solids?
1)
2)
Answers
1) c
2) f
hope it helps :)
Please correct me if im wrong •-•
Which expression has the least value when x = 1000?
Answers
Answer: Could we see the choices?
Step-by-step explanation:
The Silvertons are looking at purchasing a new car for their family. Steve Silverton wants to purchase a 2019 Chevrolet Tahoe which will cost an initial amount of $2000 at the door and monthly payments that are 14.45% the amount of the initial down payment. Sally Silverton wants a more eco-friendly car and would rather buy a 2021 Nissan Leaf for an initial amount of $600 at the door and monthly payments that are 62.50% of the initial amount paid. In how many months would both options have the same amount paid off?
Answers
A cone has a diameter of 6 inches and a height of 6 inches. Find the volume of the cone to the nearest tenth. Use 3.14 for pi.
Answers
Answer:
The volume is 56.6 rounded
Step-by-step explanation:
What is the area of the region shown on the map?
Answers
Create an equivalent expression that includes a set of parentheses that make the value of the
expression 13. Remember, you can have two or more numbers within the set of parentheses.
1/2 X 12 divided by 2 -2 + 1
Answers
Answer:
2
Step-by-step explanation:
1. 7(x+2)= 2x+39 2. -3(x+10)= -x-14+2x 3. 8(x+2) =x+9 4. 3(x+2)= 2x-54-x
i need the steps
Answers
7x -2x 5x 39-14 25
5x=25
X = 5
Answer:
7*x = 7x +14= 2x +39
7x -2x 5x 39-14 25
5x=25
X = 5
Step-by-step explanation:
make sure u have explanation pls
Which word could you use to replace the underlined word below that would be more precise but have the same meaning?
The long system of forest trails were lined with flowering bushes.
(1 point)
miniature
narrow
extensive
distant
Answers
it describes a path lined with flowers
Cross sections that can be seen when a plane intersects a cone but not when it intersects a pyramid or prism are . please help me
Answers
Answer:
The cross section can be:
1. A circle
2. An ellipse
3. A parabola
4. A hyperbola
Step-by-step explanation:
Solve each inequality, then match it to the correct graph.
Answers
Answer:
1- G
2- D
3- A
4- H
5- B
hope this helps :)
Step-by-step explanation
1- r/-2 ≥ -5
*-2 *-2
r≥10
2- y+9 ≥ -2
-9 -9
y≥-11
3- 7> k+12
-12 -12
-5>k
4- -5 ≤ -16 +m
+16 +16
11 ≤ m
5- -54≤ -6c
/-6 /-6
9 ≤ c
2- it would be D
3- 4
4- H
5-b
Help me with this asap please!
Answers
Answer:
D 154
Step-by-step explanation:
6x7=42 (1 wall) 42x2=84 (2 walls)
5=7=35 (1 wall) 35x2= 70 (2 walls)
70+84= 154 (all walls)
Find the area of each figure. PLEASE ANSWER BOTH TO GET BRAINLIEST!!
Answers
Answer: Areas: 1.) 36 units^2
2.) 72.5 inches^2