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
I need help guys.
Solve for x
y = x-v/b
Answers
Answer: I hope this is what you are looking for
Step-by-step explanation:
so the answer is
x=y +v/b
Find |x| when x = – 15.
HELP ME PLEASEE
Answers
Answer: 15
Step-by-step explanation: | | means the absolute value the absolute value of -15 is 15 because it is 15 units away from 0.
help me answer please
Answers
Answer:
x=21
Step-by-step explanation:
supplementary angles add up to 180°
7x-3+2x-6=180
collect like terms
9x-9=180
add 9 to both sides
9x=189
divide both sides by 9
x=21
please help fast and expalin.
Answers
Answer: 10,000
Step-by-step explanation:Hope this helps!
HURRY, PLEASE HELP!!!
Answers
Answer:
Equilateral, Isosceles, and Scalene triangles all have at least one pair of equal angles.
The angles must have the same degree and most of the time come when connected by or adjoined by 2 equal side lengths.
what is the lenght of the diagonal of the rectangle
Answers
Answer:
P = 2l + 2w
Step-by-step explanation:
Prime numbers have ________.
Composite numbers have ________.
The number 1 is ________.
Answers
Answer:
1:eaxctly two factors 2:more than two factors 3:neither prime nor composite
Step-by-step explanation:
I GOT IT RIGHT!
Answer:
Answer time!!
1. exactly 2 factors
2. more than 2 factors
3. niether prime nor compisite
what 3+6+9
answer 4 pointss
Answers
ayo the answer is 18.
Answer:
3+6+9
9+9= 18
Therefore 3+6+9=18
Help! I already tried -6.6/20
Answers
Answer: 0.33 or 1.32 or 6.6%
Step-by-step explanation:
What is (7.8 x 10) • (1.0 x 10)
Answers
780 is the answer. Hope this helps :)
A rectangle has length 8x 104 mm and width 4 x 104 mm. The rectangle's length is how many times
its width?
The rectangle's length is times its width.
(Type a whole number.)
Answers
Answer:
Step-by-step explanation:
It would be 2.
8/4=2
10^(4-4)=10^0 or 1
2*1=2
solve b
3b / 7-1 = 5
Answers
Answer:
b= 2 over 7
Step-by-step explanation:
exact form b= 2 over 7
decimal form b= 0.285714
Explain if it has the same answer: 6(9) = 6(5) + 6(4)
Answers
Answer:
54 does equal 54. So this problem is true
Step-by-step explanation:
6*9=54
6*5=30
6*4=24
30+24=54
54 does equal 54
Answer:
it has the same answer because 6(5)+6(4)=6(9) so they are the same
Step-by-step explanation:
copy and paste that ;)
9 divided by 2,488 ??????
Answers
Answer: 0.0036173633440514 = [tex]\frac{9}{2,488}[/tex]
Answer:
00.0036173633
Step-by-step explanation:
use calculator
1Write an equation in slope intercept form for a line that contains the
points (-3.2) and (6, 1).
Answers
Answer:
y=-[tex]\frac{1}{9}[/tex]x+[tex]\frac{5}{3}[/tex]
Step-by-step explanation:
what is x
8(3x+6)=168
Answers
Answer:
x=-5
Step-by-step explanation:
24x+48=168
24x-120
x=5
8(15+6)=168
120+48=168
168=168
Answer: 5
Step-by-step explanation: 8 (3x+6)= 168/ 8 (3 x5+6)= 168; so 8(3x5+6)=168
Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degreee. To achieve this goal, you deposit $ 5000 at the end of each year in an annuity that pays 6.5 % compounded annually.
a. After 5 years, you will have approximately= $
(Do not round until the final answer. Then round to the nearest dollar as needed.)
b. The interest is approximately= $
(Use the answer from part a to find this answer.)
Answers
Answer: a. After 5 years, you will have approximately= $ 6,850.43 .
b. The interest is approximately =$ 1850.43
Step-by-step explanation:
Given: Principal amount (P) = $5000
Rate of interest (r)= 6.5% = 0.065
n= 1 (compounded annually)
a) Time (t) = 5 years
Formula for accumulated amount :
[tex]A=P(1+\dfrac rn)^{nt}[/tex]
Then,
[tex]A=5000(1+0.065)^5\\\\=5000(1.065)^5\\\\=5000(1.37008666342)\\\\\approx \$\ 6850.43[/tex]
Hence, After 5 years, you will have approximately $ 6,850.43 .
b) Compound interest = A-P
= $ 6,850.43 - $ 5,000
= $ 1850.43
Hence, The interest is approximately $ 1850.43.
Hello guys i am in secondary school y8 and need help on my school work due tomorrow please could you help me out.
Answers
hii!! i used an online calculator so i could help you quicker, but the area is 60, and the height is 12.
hope this helps!! <3
POSSIBL
Mariko needs to solve the equation below for D. Which correctly describes the step he should take?
M=
= p
Subtract V from both sides.
Divide both sides by V.
Multiply both sides by V.
O Divide both sides by D.
1
2
which step should I take
Answers
Answer:
Divide both sides by V
Step-by-step explanation:
The equation is not well written.
Mariko needs to solve the equation below for D. Here is the equation:
M = DV
For Mariko to get D, he needs to make D the subject of the formula by dividing both sides of the equation by the coefficient of D i.e V as shown;
Divide both sides by V
M/V = DV/V
V at the denominator will cancel out the V at the numerator to have:
M/V = D
Rearrange
D = M/V
Therefore, the statement which correctly describes the step he should take is:
Divide both sides by V. Option B is correct.
If you bought a stock last year for a price of $63, and it has risen 17% since then, how much is the stock worth now, to the nearest cent?
Answers
what are the solutions of the equation below
(x-2)(x+9)=0
Answers
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
The average number of seeds in a package of cucumber seed is 95. The numb
of seeds in the package can vary by eight. What are the maximum and
minimum number of seeds that could be in a package?
Select the correct equation and solutions that match this situation.
Answers
Answer:
103 at most and 87 at least
Step-by-step explanation:
95-8=87 seeds
95+8=103 seeds
Answer with step-by-step explanation:
Max: 25 + 3 = 28
Min: 25 - 3 = 22
Hope this helped!
Please please help will give brainliest!!
Answers
Answer:
c = 13
Step-by-step explanation:
In a rectangle the diagonals bisect each other, thus
FG = FI , substitute values
7c - 67 = c + 11 ( subtract c from both sides )
6c - 67 = 11 ( add 67 to both sides )
6c = 78 ( divide both sides by 6 )
c = 13
Answer:
c = 13
Step-by-step explanation:
We know FG and FI are equal to each other because F is the cross section of a rectangle.
FG = 7c - 67
FI = c + 11
FG = FI
7c - 67 = c + 11 Add 67 to each side so it will cancel on the left
7c = c + 11 + 67
7c = c + 78 Subtract c from each side so it cancels on the right
7c - c = 78
6c = 78 Divide each side by 6
6c/6 = 78/6
c = 78/6
c = 13
State whether the data described below are discrete or? continuous, and explain why. The volumes left parenthesis in cubic feet right parenthesis of different rooms Choose the correct answer below. A. The data are discrete because the data can take on any value in an interval. B. The data are discrete because the data can only take on specific values. C. The data are continuous because the data can take on any value in an interval. D. The data are continuous because the data can only take on specific values.
Answers
Answer:
The correct answer is:
The data are continuous because the data can take on any value in an interval. (C)
Step-by-step explanation:
Discrete data are data that can take on certain limited values. There is a limit to what values can be assigned to such data. For example, the number of children in a school will just be whole numbers, either 20 or 50 or 55 or 108, etc, you cannot have 100.5 children. This makes it limited to the values it can take on, hence it is discrete
Continuous data, on the other hand, are data that can take on any value within a scale. The possibility of assigning a value is unlimited. for example height. The height can be 3m, 3.8m, 4.57m, etc, there's no limit to the possibility that a height can take. Other examples are; temperature, weight, acceleration, volume etc. In this example the volume of a room in cubic feet can be 30ft³, 50.6ft³, etc. The possibilities are endless, hence it is a continuous data.
Which statement is modeled by 2p + 5 < 11
Group of answer choices
The sum of 5 and 2 times p is at least 11
5 added to the product of 2 and p is less than 11
2 times p plus 1 is at most 11
the product of 2 and p added to 5 is 11
Answers
The reason for this is because the inequality multiples 2 and the variable p, which is the product. Then, you have to add 5 to the product of 2p. Since the sign is opened towards the 11, this indicates that the sum of 5 and 2 times p is less than 11. Hope that helps!
On a spelling test, Lucy got 4 out of 5 correct. If Lucy got
20 questions correct, then how many quesitons did she
miss?
Answers
Answer:
4
Step-by-step explanation:
Answer:
She missed 4 questions
Step-by-step explanation:
4/5=8/10=16/20
Helppppp please !!!!!
Answers
Answer:
The answer is A) 1/8^2
Step-by-step explanation:
Both of the equations simplified equal 1/64.
Slove 4(5x-2)= 2(9x+3)
Answers
Answer:
x=7
Step-by-step explanation:
divide both sides by two. distribute on the left side. minus 9x on both sides. add 4 on both sides, and you get 7.
Answer:
x = 7
Step-by-step explanation:
Firstly, use the distributive property to distribute the 4 and the 2 respectively.
[tex]4(5x-2) = 2(9x+3)[/tex]
[tex]20x-8=18x+6[/tex]
Then, isolate the variable. Start by subtracting 18x from both sides.
[tex]2x - 8 = 6[/tex]
Add 8 to both sides.
[tex]2x = 14[/tex]
Divide both sides by 2.
[tex]x=7[/tex]
X - 6 < -4 please help
Answers
Answer:
x<2
Step-by-step explanation:
please answers soon and answer correctly.