Which expression is equivalent to (startfraction (3 x y superscript negative 5 baseline) cubed over (x superscript negative 2 baseline y squared) superscript negative 4 baseline) endfraction) superscript negative 2? assume startfraction x superscript 10 baseline y superscript 14 baseline over 729 endfraction.
The equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2[/tex]
Expand the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27x^3y^{-15}}{(x^{8} y^{-8}})^{-2[/tex]
Apply the law of indices
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{27}{(x^{5} y^{7}})^{-2[/tex]
Take the inverse of the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = (\frac{x^{5} y^{7}}{27})^2[/tex]
Apply the square exponent to the expression
[tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2} = \frac{x^{10} y^{14}}{729}[/tex]
Hence, the equivalent expression of [tex](\frac{(3xy^{-5})^3}{(x^{-2} y^2) ^{-4}})^{-2}[/tex] is [tex]\frac{x^{10} y^{14}}{729}[/tex]
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Answer:A edge 2023
Step-by-step explanation:
Just did it and got it right
A textbook has 428 numbered pages, starting with 1.
A textbook has 428 numbered pages, starting with 1. You are equally likely to stop on any of the pages if you flip through the book randomly.
What is the probability that you turn to page 45?
Answer:
1/428 or 0.00233644859% chance
Step-by-step explanation:
Simply because there is only one page 45 use 428 as your denominator and then divide 1 by 428!
Answer: 1/428
Step-by-step explanation: There are 428 pages so that is the denominator. 45 is only one page so 1 is the numerator. Therefore it is a 1 in 428 chance that you would land on 45. Hope this helped!
What is the solution for x in the equation?
-2x+14+10x=34
A. x=5/2
B. x=2/5
C. x=1/8
D. x=6
Find the area of the isosceles triangles with side lengths 16 meters, 17 meters, and 17 meters.
Answer:
120 meters
Step-by-step explanation:
The triangle area using Heron's formula
Heron's formula gives the area of a triangle when the length of all three sides is known. There is no need to calculate angles or other distances in the triangle first. Heron's formula works equally well in all cases and types of triangles.
[tex]T=\sqrt{s(s-a)(s-b)(s-c)} \\[/tex]
[tex]T=\sqrt{25(25-17)(25-17)(25-16)}[/tex]
[tex]T=\sqrt{14400} =120[/tex]
HURRY UP (100) POINTS PLS HURRY (10 MINS LEFT)
Translate the following equation into words: 5c - 4 = 11 Five, times a number minus four, is eleven. A number, times five minus four, is eleven. Five times a number, subtracted from four, is eleven. Four less than the product of five and a number, is eleven.
Answer:
Four less than the product of five and a number, is eleven.
Step-by-step explanation:
"The product of five and a number": 5c
"Four less than": - 4
"is eleven": = 11
"Four less than the product of five and a number is eleven":
5c - 4 = 11
Four less than the product of five and a number is eleven
No is cProduct of 5 and c is 5c
4 less than it means 5c-4
The result is 11
So expression is 5c-4=11What are the characteristics of the function f(x) = 2(x-4)5?
O A. It is a reflection and a translation to the right of the parent
function.
O B. Both ends of the graph of the function go up.
I C. The left end of the graph of the function goes down, and the right
end goes up.
O D. It has 4 zeros and at most 5 relative maximums or minimums.
E. It has 5 zeros and at most 4 relative maximums or minimums.
OF. It is a vertical stretch and a translation to the right of the parent
function.
Answer:
Step-by-step explanation:
Answer: Options F, E, C.
Given : function f(x)=2(x-4)^5.
To find : What are the characteristics of the function .
Solution : We have given that f(x)=2(x - 4)^5.
By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.
Since , Option F is correct.
It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.
Option E is also correct.
By transformation rule it is vertical stretch and shift to right (B )
Therefore, Option F , E , C are characteristics of the function .
Joe's bathroom floor is 7 feet wide and 4 feet long. He will cover the floor with 4-inch square tiles. How many tiles does Joe need? A 7 B 252 С 680 D 1008
Answer:
The answer will be 7 tiles.
Step-by-step explanation:
Firstly,you need to find the area of the bathroom floor.
Area of bathroom floor is =length×breadth
which is the formula for a rectangular floor
A=4×7
A=28cm squares.
Then to find how many tiles Joe needs=A÷4-inch square tile
=28÷4
=7 tiles.
what is area and circumference of the circle if diameter is 30
Solution, Diameter = 30[tex]radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ [/tex]
Now, []area = \pi {r}^{2} [/tex][tex] = 3.14 \times 15 \times 15[/tex][tex] = 706.5 [/tex]Hence the area is 706.5now........[tex]circumference = 2 \: \pi\: r[/tex][tex] = 2 \times 3.14 \times 15[/tex][tex] = 94.2[/tex]hence the answer is 94.2...
Solution,
Diameter = 30
[tex]radius = \frac{diameter}{2} = \frac{30}{2} = 15 \\ [/tex]
Now,
[tex]area = \pi {r}^{2} [/tex]
[tex] = 3.14 \times 15 \times 15[/tex]
[tex] = 706.5 [/tex]
Hence the area is 706.5
now........
[tex]=Circumference = 2 \: \pi\: r[/tex]
[tex] = 2 \times 3.14 \times 15[/tex]
[tex] = 94.2[/tex]
hence the answer is 94.2...
Each of 4 ladies randomly chooses a woolen overcoat from 15 different styles. What is the probability that at least 2 ladies choose the same type of overcoat?
Answer:
1/2
total No-4
required number-2
=No of required outcome
No of Normal outcome
=2/4
=2
In the diagram, triangle A B C and triangle C D A are congruent. What is the length of segment A D?
Answer:
Theres no picture but is it the square root of 33?
Step-by-step explanation:
Find the area of the triangle
help me out pls 5 stars
Which expression is equivalent to (x – 2) – (5x + 2)?
A.
–4x – 4
B.
–4x – 2
C.
6x + 4
D.
6x
can you please help me with my math work !!?
Answer:
B. x ~ 5
Step-by-step explanation:
This is a right isosceles triangle!
Answer:
c x=8.7
Step-by-step explanation:
length of the 2 shortest sides squared and the length of the longest side square would be x^2+25=100
x^2=75
which would be x=8.7
don't listen to the other answer
nothing on this picture proves this is an isosceles triangle. Pictures like these usually aren't according to scale
In the diagram,
B (5,9)
A (2,3)
the points A, B and C lie on the straight line y = 2x-1
The coordinates of A are (2, 3).
The coordinates of B are (5, 9).
Given that AC = 3AB, find the coordinates of C.
0
y=2x+1
C
Answer:
C = (11, 21)
Step-by-step explanation:
The relation AC = 3AB can be used to find the coordinates of C given those of A and B.
__
C -A = 3(B -A)
C = 3B -2A . . . . . add A to both sides
C = 3(5, 9) -2(2, 3) = (15 -4, 27 -6) . . . . use the given points for A and B
C = (11, 21)
Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)
Answer:
Step-by-step explanation:
Brett owns 236 shares of animite energy co., each of which offers a yearly dividend of $3.59. how much money does brett receive from dividends every year? a. $1,038.85 b. $1,529.59 c. $657.58 d. $847.24
The total amount of money that Brett receives from dividends every year is $847.24.
What is the total amount of money received from dividends?Dividends are payments made to the shareholders of a public company from the income of a company in a particular period.
Total dividends = dividend per share x total shares owned
236 x 3.59 = $847.24
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Answer:
Step-by-step explanation:
847.24
The midpoint of overline AB is M(-4, 0)M If the coordinates of A are (-6, 6) what are the coordinates of B?
Answer:
(-2, -6)
Step-by-step explanation:
Equating A and B to the Midpoint (M) :
(-4, 0) = (-6 + x / 2, 6 + y / 2)Equations formed :
-6 + x / 2 = -4-6 + x = -8x = -22. 6 + y / 2 = 0
6 + y = 0y = -6Midpoint : (x , y)
(-2, -6)Is the vertex of the graph a maximum or a minimum?
Answer:
maximum
Step-by-step explanation:
Concepts
The vertex of a graph represents the turning point in a parabola.
Example: The graph shown in your question first steadily increases, but then at the point (1,3), it begins to go down. The point (1,3) is called the vertex in this case because it symbolizes the turning point.
Application
We are asked to determine if the vertex of this graph is a maximum or minimum. If the vertex is maximum, it's the highest point on the graph. If it's the minimum, it's the lowest point on the graph. Using your stunning eyes, you can see that the vertex is the highest point on the graph, making the answer maximum.
What is the quotient? startfraction n 3 over 2 n minus 6 endfraction divided by startfraction n 3 over 3 n minus 9 endfraction
The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
How to solve fractionn³ / (2n - 6) ÷ n³ / (3n - 9)
multiply by the reciprocal of n³ / (3n - 9)= n³ / (2n - 6) × 1 / n³ / (3n - 9)
= 2n - 6 / 3n - 9
= 2(n - 3) / 3(n - 3)
= 2/3
Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
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Answer:
2/3
Step-by-step explanation:
Which statements are true? select three options. p(f|c) = 0.75 p(c|f) = 0.25 p(c∩f) = 0.09 p(c∩f) = p(f∩c) p(c|f) = p(f|c)
The true statements are:
p(f|c) = 0.75p(c∩f) = 0.09 p(c|f) = p(f|c)What are the true statements?In sets notation, the symbol, ∩ means the intersection of two groups. Here, it represents the number of people who are football fans and fans of car racing. This number is 9%.
Here is the complete question:
A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.
Which statements are true? Select three options.
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Find the perimeter of the shaded region. Round your answer to the nearest hundredth
Answer:
38 units
Step-by-step explanation:
13+13=26
6+6=12
26+12=38
the question is “how much does a package of corn cost” but the amount next to it is 2/189. can someone help lol
Answer:
I'm assuming it's sayin that u get 2 for 1.89?
A.
coke corporation paid larry $550 every 3 months (quarterly payment) for the dividends on 500
shares invested in the company. the current stock price is $600 per share.
how much did he make in dividends for the year?
b. what was the quarterly dividend per share?
c. what was the annual dividend per share?
d. what was the dividend yield (percent)?
Answer:
i think its b sorry if im wrong
Step-by-step explanation:
Which expression are equivalent to the one below? 4^3 * 4^x
Step-by-step explanation:
[tex] = {4}^{3} \times {4}^{x} [/tex]
[tex] = {4}^{3 + x} [/tex]
[tex] = {4}^{x + 3} [/tex]
Nico is planting grass in his backyard. He is using 1 foot grass squares and has to cover an area that is 24 feet long and 20 feet wide. How many 1 foot squares does Nico need
Answer:
480 tiles
Step-by-step explanation:
First we will find the area of Nico's backyard
Formula for area of a rectangle is length * width
24ft * 20ft = 480ft²
This means Nico will need 480 1ft² tiles
That is your answer
- Kan Academy Advance
The first buses to X and Y leave a bus station at 7 am
Buses to X leave every 25 minutes.
Buses to Y leave every 20 minutes.
When will the buses to X and Y next leave at the same time
The time at which the buses will leave at the same time is 8:40 am.
What is a factor?A factor is a number that divides another number, leaving no remainder
Example: 3 x 2 = 6
2 is a factor of 3.
We have,
Buses:
X leaves every 25 minutes.
Y leaves every 20 minutes.
We need to find the least common multiples of 25 and 20.
25 x 4 = 100
20 x 5 = 100
100 is our least common multiple of 25 and 20.
We see that,
4 is a factor of 24 which gives 100.
This means after 4 times, bus X will leave with bus Y at the same time.
5 is a factor of 20 which gives 100.
This means after 5 times, bus Y will leave with bus X at the same time.
The first buses to X and Y leave a bus station at 7 am.
After 100 minutes, buses X and Y will leave at the same time.
= 7am + 100 minutes
= 7 + 60 minutes + 40 minutes
= 7 + 1 hour + 40 minutes
= 8:40 am
Thus,
The time at which the buses will leave at the same time is 8:40 am.
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Rational numbers are fractions and their opposites. All of these numbers are rational numbers. Show that they are rational by writing them in the form (a)/(b) or (a)/(b).
Answer:
0.2 = 1/5
0.333 = 1/3
-1.000001 = -1 1/1000000
-√4 = -2
3√1000 = 30
√1/9 = 0.11111... = 1/9
Need answers for this
Answer:
Step-by-step explanation:
Mean, Median,mode[tex]\boxed{Mean = \dfrac{Sum \ of \ all \ data}{number \ of data}}[/tex]
[tex]\sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875[/tex]
Median:Arrange the numbers in ascending order.
176 , 195 , 212 , 234 , 236 , 243 , 247, 248
Number of data is even. So, median will be the average of 234 and 236
Median = average of the middle two terms.
[tex]\sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235[/tex]
Mode is the data which is occurring more number of times.
Range = maximum - minimum
= 248 - 176
= 72
4) The radius of a circle is 9 feet. What is the circle's area?
r=9 ft
4) Use 3.14 for л.
square feet
Answer:
254.34 square feet
Step-by-step explanation:
Area of a circle: πr²
Given:
π = 3.14r (radius) = 9 ftSubstitute the given values into the formula:
A = (3.14)(9)²
A = (3.14)(81)
A = 254.34 ft²
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central angle is a right angle. Find x.
Answer:
It's 90° degrees .
Explanation :
A right angle meseaures correct 90° degrees .