Can someone help me find the equivalent expressions to the picture below? I’m having trouble
Answers
Answer:
Options (1), (2), (3) and (7)
Step-by-step explanation:
Given expression is [tex]\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}[/tex].
Now we will solve this expression with the help of law of exponents.
[tex]\frac{\sqrt[3]{8^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}=\frac{\sqrt[3]{(2^3)^{\frac{1}{3}}\times 3} }{3\times2^{\frac{1}{9}}}[/tex]
[tex]=\frac{\sqrt[3]{2\times 3} }{3\times2^{\frac{1}{9}}}[/tex]
[tex]=\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3\times 2^{\frac{1}{9}}}[/tex]
[tex]=2^{\frac{1}{3}}\times 3^{\frac{1}{3}}\times 2^{-\frac{1}{9}}\times 3^{-1}[/tex]
[tex]=2^{\frac{1}{3}-\frac{1}{9}}\times 3^{\frac{1}{3}-1}[/tex]
[tex]=2^{\frac{3-1}{9}}\times 3^{\frac{1-3}{3}}[/tex]
[tex]=2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }[/tex] [Option 2]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2[/tex] [Option 1]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(\sqrt[9]{2})^2\times (\sqrt[3]{\frac{1}{3} } )^2[/tex]
[tex]=(2^2)^{\frac{1}{9}}\times (3^2)^{-\frac{1}{3} }[/tex]
[tex]=\sqrt[9]{4}\times \sqrt[3]{\frac{1}{9} }[/tex] [Option 3]
[tex]2^{\frac{2}{9}}\times 3^{-\frac{2}{3} }=(2^2)^{\frac{1}{9}}\times (3^{-2})^{\frac{1}{3} }[/tex]
[tex]=\sqrt[9]{2^2}\times \sqrt[3]{3^{-2}}[/tex] [Option 7]
Therefore, Options (1), (2), (3) and (7) are the correct options.
Related Questions
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve
Answers
Answer:
The equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
[tex]f(x) = A*e^{k*x}[/tex]
Replacing that in the second equation, we get:
[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]
From that equation, we can conclude that k = 2
Then:
[tex]f(x) = A*e^{2*x}[/tex]
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]
Then we can conclude that the equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answers
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.
Let u= (5,-12) and c= -3.What is ||cu||?
A: 21
B: 51
C: 39
D: -39
Answers
Answer:
CU=-3(5,-12)
CU=36-15
CU=21
The answer is A=21
Answer:
[tex]=21[/tex]
Correct option is A
Step-by-step explanation:
[tex]-3\left(5-12\right)\\Follow\:the\:PEMDAS\:order\:of\:operations\\\mathrm{Calculate\:within\:parentheses}\:\left(5-12\right)\::\quad -7\\5-12=-7\\=-3\left(-7\right)\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:-3\left(-7\right)\::\quad 21\\-3\left(-7\right)\\\mathrm{Apply\:rule\:}-a\cdot \left(-b\right)\:=\:a\cdot \:b\\-3\left(-7\right)=3\cdot \:7=21\\=21[/tex]
Robin saved money during the months of July and August can some one help me
Answers
Step-by-step explanation:
(340*20)-3
HOPE IT HEPL U
Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4
Answers
Answer:
a. For Asset 1, we have:
Total cost = $5,864
Total depreciation = $5,264
Annual depreciation = $877.33
b. For Asset 2, we have:
Total cost = $17,210
Total depreciation = $15,310
Annual depreciation = $3,827.50
Step-by-step explanation:
Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.
Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).
The explanation of the answers is now given as follow:
Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.
Therefore, wee have:
a. For Asset 1, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864
Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264
Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33
b. For Asset 2, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210
Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310
Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50
What is the length of AB?
Answers
Answer:
B. 6
Step-by-step explanation:
We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.
Find the LCM of the polynomials.
x² - x - 42
x2 + x - 56
Answers
Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
how many pieces of jewelry could she buy?
A woman went to a departmental store's one-day sale. She bought five blouses for $30 each and a pair of shoes for $55. She also wanted to buy some jewelry. Each tom of jewelry was bargain priced at $11.50 each. If she brought $251 with her,
She could buy pieces of jewelry
Enter your answer in the answer box
Answers
11.50 x 4 = 46
205 + 46 =$251
She could buy 4 pieces of jewelry
PROBLEM IS ABOVE PLEASE HELP
Answers
Answer:
A
Step-by-step explanation:
slant height of the exagon = side/2 * √3 = 2.5√3 cm
area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2
Volume of the prism = area of the hexagon * height = 974,278579 cm^3
Volume of the cylinder = radius^2 * pi * height = 36 * pi * 15 = 1.696,460033 cm^3
volume of the kaleidoscope = 722,181454 cm^3
you spin the spinner once
What is P(5)?
Answers
0-10
A spinner is split into 11 different pieces so you are less likely to land on five than the other numbers.
The probability of getting 5 on spinner is 0.25.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, on the spinner there are four numbers {3, 4, 5, 6}.
Number of favorable outcomes = 1
Total number of outcomes = 4
So, P(5) = 1/4
= 0.25
Therefore, the probability of getting 5 on spinner is 0.25.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Tommy is putting a wooden frame around his living room stained glass window shown below. Before he can build the frame,
he needs to find the perimeter of the window.
7 feet
4 feet
If the rectangular window is 7 feet long by 4 feet wide, what is the perimeter of the window?
OA.
14 feet
ОВ.
28 feet
OC.
11 feet
OD
22 feet
Answers
The perimeter of window is 28 feet
Find the value of x.
Answers
Answer:
Hello! answer: 84
Step-by-step explanation:
This is 360 degrees therefore 84 is the answer
84 + 84 + 96 + 96 = 360 degrees
PLEASE HELP!! WILL GIVE BRAINLEIST FOR AN ACTUAL Answer
Answers
72/360 = x/10pi
1/5 = x/10pi
x = 2pi
6.3 cm
I’m so horrible at math, please help
Answers
=21 ÷(14-11)+2⁴
=21 ÷3+16
=7+16
=23
Explanation: Use PEMDAS to simplify the expression. Parentheses, exponents, multiply, divide, add, and subtract.
P - Parenthesis ( )
E - Exponents ²
M - Multiplication ×
D - Division ÷
A - Addition +
S - Subtraction -
Question : 21 ÷ (14 - 11) + 2⁴
1st step : Subtract the two numbers inside the Parenthesis
⇒ 21 ÷ 3 + 2⁴
2nd step : Calculate the value of 2⁴ which is related to Exponents
⇒ 21 ÷ 3 + 16
3rd step : Perform Division
⇒ 7 + 16
4th step : Perform Addition
⇒ 23
Answer: 23
Given r=3 and a center of (3,5)? Find the equation of the circle in standard and general form.
Answers
9514 1404 393
Answer:
(x -3)^2 +(y -5)^2 = 9x^2 +y^2 -6x -10y +25 = 0Step-by-step explanation:
The standard form equation for a circle of radius r and center (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
For radius 3 and center (3, 5), this is ...
(x -3)^2 +(y -5)^2 = 9 . . . . standard form equation
Expanding this and subtracting the constant on the right gives ...
x^2 -6x +9 +y^2 -10y +25 -9 = 0
x^2 +y^2 -6x -10y +25 = 0 . . . . general form equation
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?
Answers
Answer:
Volume of soda in soda can = 43.1 inches³ (Approx.)
Step-by-step explanation:
Given:
Height of soda can = 7 inches
Diameter of soda can = 2.8 inches
Find:
Volume of soda in soda can
Computation:
Radius of soda can = Diameter of soda can / 2
Radius of soda can = 2.8 / 2
Radius of soda can = 1.4 inches
Volume of soda in soda can = Volume of cylinder
Volume of soda in soda can = πr²h
Volume of soda in soda can = (3.14)(1.4)²(7)
Volume of soda in soda can = (3.14)(1.96)(7)
Volume of soda in soda can = 43.1 inches³ (Approx.)
Find the area of each triangle
8 yd
8 yd
Answers
Answer:
Area of triangles 1 = 18 ft²
Area of triangles 2 = 16 in²
Area of triangles 3 = 90 yd²
Step-by-step explanation:
Given:
1] Height of triangle = 4 ft
Base of triangle = 9 ft
2] Height of triangle = 4 in
Base of triangle = 8 in
3] Height of triangle = 12 yd
Base of triangle = 15 yd
Find:
Area of triangles
Computation:
Area of triangles = (1/2)(Base)(Height)
Area of triangles 1 = (1/2)(4)(9)
Area of triangles 1 = 18 ft²
Area of triangles 2 = (1/2)(4)(8)
Area of triangles 2 = 16 in²
Area of triangles 3 = (1/2)(12)(15)
Area of triangles 3 = 90 yd²
In a petri dish, a certain type of bacterium doubles in number every 20
minutes
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
O A. 210
B. 410
C. 27
D. 221
SUBMIT
Answers
Yep
Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12
Answers
Answer:
The first option is correct
Step-by-step explanation:
Hope it is helpful....
Triangle GCH is similar to triangle DCE. Find CH
Answers
Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65
How would I figure this out?
Answers
Answer:
IGJ=90-38
=52
answer is option c
the equation of a straight line is 2y+6x=-8.find the gradient of the line
Answers
Step-by-step explanation:
Y= mx + c
2y = 3x - 8
2y = -3× - 8 ( divide all yerms by two )
y = -3 × 4
2
y = -3
2
What is m∠CDE? pls help
Answers
Answer:
68
Step-by-step explanation:
∠ACB = ∠DCE
= 180-92/2
=44
∠CDE = 180 - 44 / 2
68
When evaluated, which expression has a result that is a rational number?
Answers
Answer:
√144 * 0.25 is rational!
Step-by-step explanation:
PLEASE HELP!!!
The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by the
function a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.
The number of children who have seen the same play, measured in hundreds of people, is represented by the function
c (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.
What function, d (w). can be used to determine how many more children than adults have seen the play in any week?
d (w) = -0.1w2 + 5W + 21
d (w) = 0.1w2 – w+ 5
d (w) = -0.1w2 – w + 5
Od (w) = 0.1w2 + 5W + 5
Answers
Answer:
d (w) = 0.1w² – w+ 5
Step-by-step explanation:
d(w) = c(w) - a(w)
= -0.3w²+2w+13 -(-0.4w²+3w+8)
= -0.3w²+0.4w²+2w-3w+13-8
= 0.1w²-w+5
Answer:
d (w) = 0.1w2 – w+ 5
Step-by-step explanation:
I took the test
Which of the following terms have a GCF of ? Select two options.
Answers
Answer:
hi please upload the photo so we can help :)
Answer:
A:12p^3r and D:54p^3
Step-by-step explanation:
Which pair of angles are vertical angles?
A)
B)
C)
D)
Answers
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answers
Answer:
answer is option B since they are in GM
Answer:
[tex]\text{b. }786,432[/tex]
Step-by-step explanation:
The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].
What we know:
[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)Substituting given values, we get:
[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]
The following data represent weights (pounds) of a random sample of professional football players on the following teams. san francisco 49ers and green bay packers
X1 = weights of players for the Dallas Cowboys
X2 = weights of players for the Green Bay Packers
X3 = weights of players for the Denver Broncos
X4 = weights of players for the Miami Dolphins
X5 = weights of players for the San Francisco Forty Niners
You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different?
Answers
Answer:
The answer is "272.02 ".
Step-by-step explanation:
Please find the complete solution in the attached file.
Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a true-false examination consisting of 26 questions.
Answers
Answer:
2^26
Step-by-step explanation:
For a true - false examination ; number of options or possible outcomes = 2
Number of questions = 26
Using the counting principle ; the number of elements in the sample space ;
(2 * 2 * 2 *... * 2) for the entire 26 questions
This is equivalent to : 2^26
2^26 = 67108864