simplify (x^-2(y^4))^3/x^3y^4. please help!! ill give brainiliest, algebra 2, 25 points
Answers
Answer: y^16/x^9
Step-by-step explanation:
(x^-2(y^4))^3/x^3y^4
(x^-2y^4)^3/x^3 * y^4
x^-6y^12/x^3 * y^4
y^12/x^9 * y^4
y^16/x^9
Related Questions
What needs to be corrected in this construction of a line parallel to line AB passing through C?
A and B endpoints of line segment is intersected at point D with a transversal. D as center, arc 1 is drawn above intersecting transversal at point E, and at point F on the segment. E as center, arc 2 is drawn intersecting the transversal at point C.
A.
The first arc should pass through C.
B.
The first arc should be centered at C.
C.
The second arc should be centered at C.
D.
The second arc should cross the first arc.
E.
The second arc should be centered at F.
Answers
The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.
Why should the second arc be centered at C?The second arc should be centered at C because as it crosses passing through Line C, it is seen that it was not touching or intersecting AB and so one can say that it is parallel to it.
Looking at the other lines, we will see that they are all touching AB and are not running parallel to it.
Hence, The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.
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a swallow files at a speed of 50 km/h for 3 hours and then at a speed of 40 km/h for a further 2 hours .find the average speed for the whole journey
Answers
Answer:
18 km/h
Step-by-step explanation:
Answer:
18 km/h
and your welcome
Vanessa, a research director, is conducting an experiment to determine the effectiveness of treatment for peach trees against blight. She randomly divides one grove's trees into three groups. One group is the control with no treatment for blight. She prunes the second group to remove the limbs showing blight after the spring rains. She prunes the third group as well and als sprays them with an antibiotic. Vanessa monitors the trees for five years after the start of the experiment. The table shows the outcomes, or the counts of how long the trees in each group lived. Treatment uning Antibiotic Totals 27 42 NonePr Outcomes 0 to 2 years 2 to 4 years More than 4 years Totals 102 114 35 40 28 15 83 101 120 304 Click to download the data in your preferred format if you wish. CrunchIt! CSV Excel JMP Mac Text Minitab PC Text R SPSS TI Calc Determine the probability that a randomly selected tree from this experiment lived two to four years or was treated with an antibiotic. Give your answer as a decimal, precise to three decimal places. Probability:______
Answers
The probability that a randomly selected tree from the experiment lived two to four years or was treated with an antibiotic is 0.643.
To find the probability, we need to add the number of trees that lived two to four years and were treated with an antibiotic and divide it by the total number of trees in the experiment. From the table, we can see that there were 40 + 15 + 42 = 97 trees that lived two to four years or were treated with an antibiotic. The total number of trees in the experiment is 304. Therefore, the probability is 97/304 = 0.319. We round this to three decimal places, and we get 0.643. Thus, the probability that a randomly selected tree from the experiment lived two to four years or was treated with an antibiotic is 0.643.
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Can someone help really fast with this question
Answers
The answer that describes the polygon RSTU is as follows:
QuadrilateralTrapezoidHow to find a quadrilateral?A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape RSTU as follows:
The polygon has 4 sides therefore, it is a quadrilateral.
The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.
A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.
Therefore, the shapes that defines the polygon are as follows:
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Find the distance from the line to the given point.
x=4,(-2,5)
Answers
The distance from the line x=4 to the given point (-2,5) is 6 units .
Distance formula from line to point :
The distance from the line ax+by+c=0 to the point (u,v) is given by the formula
\(distance=\frac{|au+bv+c|}{\sqrt{a^{2} +b^{2} } }\)
In the given question
the equation of the line is \(x=4\)
taking all the terms to Left side we get
\(x-4=0\)
\(1.x+0.y-4=0\)
given the points (-2,5)
From above values we the values as a=1 , b=0 , c=-4 , u=-2 , v=5 .
Substituting the values in the distance formula we get
\(d=\frac{|1*(-2)+0*(5)-4|}{\sqrt{1^{2} +0^{2} } }\)
\(=\frac{|-2+0-4|}{1} \\ \\ =|-6|\\ \\ =6\)
Therefore , the distance from the line x=4 to the given point (-2,5) is 6 units.
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Triana is on a 120-mile four-day bike ride. On the first day she travels 24 miles. She would like to travel equal amounts over the remaining three days. How far will she travel on each of those three days? Write and solve an equation of the form px+q=r. Then write a sentence to explain your answer.
Answers
Explanation:
x = amount she travels on each of those three remaining days
3x = total amount traveled over those three remaining days
3x+24 = total amount traveled over the four days
3x+24 = 120 miles total
This equation is in the form px+q = r where:
p = 3q = 24r = 120Let's solve for x. We follow PEMDAS in reverse to undo what's happening to x, so we can isolate it.
3x+24 = 120
3x+24-24 = 120-24 .... subtract 24 from both sides
3x = 96
3x/3 = 96/3 .... divide both sides by 3
x = 32
Triana must travel 32 miles per day for those remaining three days.
Doing so means she travels 3x = 3*32 = 96 miles over those three remaining days. Then add on those 24 miles traveled on the first day to get 96+24 = 120 miles total. This helps confirm the answer.
Another way to confirm the answer is to plug x = 32 into 3x+24 = 120. After simplifying both sides, you should get 120 = 120 which is a true statement.
How is muscular strength commonly measured ?
Answers
Muscular strength can be measured based on the amount of weight lifted.
Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).
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Help please due today
Answers
A gaming store sells bundle of computer games
that contain at least 12 games, but no more than 15.
Which of the following could be the total number of
games in 13 bundles?
Answers
We want to find an inequality that represents the total number of games that we could get in 13 bundles of computer games.
The inequality that represents the number of games that we can get in 13 bundles is:
156 ≤ G ≤ 195
The given information is:
"A bundle of computer games contain at least 12 games, but no more than 15"
Then if we define g as the number of games in a bundle, we can write:
12 ≤ g ≤ 15
To get the amount of games in 13 bundles, we just need to multiply the above inequality by 13, we will get:
13*12 ≤ 13*g ≤ 13*15
If we define 13*g = G, as the number of games in the 13 bundles we get:
156 ≤ G ≤ 195
This means that in 13 bundles, we can get at least 156 games and no more than 195 games.
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Which answers describe the shape below? Check all that apply.
Answers
The standard width of a tennis court is 27 feet. If 1 meter ≈ 3.3 feet, what is the width of the tennis court in meters? Round to the nearest tenth, if necessary.
Answers
Answer:
8.2 meters (8.18 without rounding)
Step-by-step explanation:
27 divided by 3.3 = 8.2 meters
Consider the following sin u 3/5, π/2 < u < π (a) Determine the quadrant in which u/2 lies. Quadrant 1 Quadrant 11 O Quadrant III Quadrant IV (b) Find the exact values of sin(u/2) cos(u/2), and tan(u/2) using the half-angle formulas. sin(u/2)= cos(u/2)= tan(u/2)=
Answers
The given angle u lies in the second quadrant, so u/2 will also lie in the second quadrant. Using the half-angle formulas, we find that\(sin(u/2) = (3/\sqrt{20}), cos(u/2) = (-1/\sqrt{10})\), and \(tan(u/2) = -\sqrt{2}\).
(a) To determine the quadrant in which u/2 lies, we need to find the quadrant of angle u first, since u/2 will lie in the same quadrant as u. From the given information, we know that u lies in the second quadrant \((\pi /2 < u < \pi )\), which means that cosine is negative and sine is positive in this quadrant. Therefore, u/2 will also lie in the second quadrant, as it is half of angle u.
(b) We can use the half-angle formulas to find the exact values of sin(u/2), cos(u/2), and tan(u/2). These formulas are:
\(sin(u/2) = \pm \sqrt{[(1 - cos \;u)/2]}\)
\(cos(u/2) = \pm \sqrt{[(1 + cos \;u)/2]}\)
\(tan(u/2) = sin(u/2) / cos(u/2)\)
Since u lies in the second quadrant, we know that cosine is negative and sine is positive. Therefore, we have:
cos u = -4/5
sin u = 3/5
Substituting these values into the half-angle formulas, we get:
\(sin(u/2) = \sqrt{[(1 - (-4/5))/2]} = \sqrt{[(9/10)/2]} = \sqrt{(9/20)} = (3/\sqrt{20})\)
\(cos(u/2) = -\sqrt{[(1 + (-4/5))/2]} = -\sqrt{[(1/5)/2]} = -\sqrt{(1/10)} = (-1/\sqrt{10})\)
\(tan(u/2) = (3/\sqrt{20}) / (-1/\sqrt{10}) = -\sqrt{2}\)
Therefore, the exact values of sin(u/2), cos(u/2), and tan(u/2) are (3/√20), (-1/√10), and -√2, respectively.
In summary, the given angle u lies in the second quadrant, so u/2 will also lie in the second quadrant. Using the half-angle formulas, we find that sin(u/2) = (3/√20), cos(u/2) = (-1/√10), and tan(u/2) = -√2.
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Convert the measurement. 3 gallons ≈ liters
Answers
Answer:
aprox 14 liters (13.6)
Step-by-step explanation:
Which of the statements below is true for the following set of numbers?42, 10, 36, 51, 70, 28The range is 70 and the midrange is 39.The range is 14 and the midrange is 35.The range is 60 and the midrange is 30.The range is larger than the midrange.
Answers
Solution
Given that;
42, 10, 36, 51, 70, 28
max = 70
min = 10
range = 70 - 10 = 60
midrange = (max + min)/2
= (70 + 10)/2
= 80/2
= 40
Therefore, The range is larger than the midrange.
find the lowest common multiple (LCM) of 12 and 30
Answers
Answer: 2
Step-by-step explanation: 2 times 6 and 2 times 15
Answer:
60
Step-by-step explanation:
We can keep adding both numbers to itself until they have a similar multiple.
12, 24, 36, 48, 60
30, 60
Best of Luck!
10)
Solve:
1-x + 5) = -2
.
Answers
-1x+5=2
_5. -5
-1x=7
-1. -1
x=-7
at the movie theatre, child admission is $5.60 and adult admission is $8.90. on saturday, three times as many adult tickets as child tickets were sold, for a total sales of $742.90. how many child tickets were sold that day?
Answers
approximately 23 child tickets were sold on Saturday at the movie theater.
To find the number of child tickets sold at the movie theater on Saturday, we can follow these steps:
1. Let's assume the number of child tickets sold is "x". Since the child admission is $5.60, the total revenue from child tickets would be 5.60x dollars.
2. Given that three times as many adult tickets were sold, the number of adult tickets sold would be 3x. Since the adult admission is $8.90, the total revenue from adult tickets would be 8.90 * 3x dollars, which can be simplified to 26.70x dollars.
3. The total sales for the day is given as $742.90. Therefore, the sum of the revenues from child and adult tickets should equal $742.90:
5.60x + 26.70x = 742.90
4. Combining like terms, we get:
32.30x = 742.90
5. To isolate x, the number of child tickets sold, we divide both sides of the equation by 32.30:
x = 742.90 / 32.30
6. Evaluating the division, we find that x is approximately equal to 23.0078.
7. Since we can't sell a fraction of a ticket, we round down to the nearest whole number. Therefore, approximately 23 child tickets were sold on Saturday at the movie theater.
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x=6
y=2x-3
i’m doing Solve Systems of Equations by Substitution.
Answers
y=9
Step-by-step explanation:
y=2(6)-3
y=12-3
y=9
because y=2•6-3
2x6=12
12-3=9
The table gives a set of outcomes and their probabilities. let a be the event "the outcome is a divisor of 4". let b be the event "the outcome is prime". find p(a|b).
Answers
P(A ∩ B) = 0, the conditional probability P(A|B) is also 0, regardless of the value of P(B). So, P(A|B) = 0.
To find P(A|B), we need to consider the events A and B, which are "the outcome is a divisor of 4" and "the outcome is prime", respectively.
We will use the conditional probability formula:
P(A|B) = P(A ∩ B) / P(B)
First, we need to find the probabilities of the intersection of A and B, as well as the probability of B.
Since prime numbers cannot have any divisors other than 1 and themselves, the intersection of A and B is an empty set because no prime number can also be a divisor of 4.
Therefore, P(A ∩ B) = 0.
Next, we need to find the probability of B, which is the event "the outcome is prime".
To do this, we'll add the probabilities of all prime outcomes given in the table.
Now, calculate P(A|B) using the formula:
P(A|B) = P(A ∩ B) / P(B) = 0 / P(B).
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Order each step and justification that is needed to solve the equation below. -2x = 28 - 6x Steps Justifications -2r = 28 - 61 Given - 2x + 6r 28 - 61 + 61 Simplification Simplification Division property of equality -41 28 28 4 r = 7 r = - 7 4r = 28 - 4x = 28 Addition property of equally
Answers
-2x = 28 - 6x --------------------------> Given
-2x + 6x = 28 - 6x + 6x------------------------------>Addition property of equality
4x = 28 -----------------------------------------> Simplification
4x/4 = 28/4 --------------------------------->Division property of equality
x = 7 --------------------------------------->Simplification
A 16-foot ladder is resting against a wall when the bottom of the ladder begins to slip from the wall at a rate of 0.75 ft/s. Find the rate at which the top of the ladder is sliding down the wall when the bottom of the ladder is 10 ft away from the wall.
Answers
Answer:
8 feet from the wall.
how would you describe the output of the graph for:
inputs from 0 to 1
inputs from 3 to 4
Answers
We can describe the output of the graph for:
inputs from 0 to 1 - slow output.inputs from 3 to 4 - rapid output.What is a Graph?This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.
From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.
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The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.
Answers
The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
What is magnitude?magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.
The magnitude as regards Richter scale is
[㏒(I/I₀]
But we were given l as 10000I₀.
Then if we substitute we have, [㏒(10000I₀./I₀)]
If we simplify we have:
[㏒10000]
Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]
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Find the 57th term of the arithmetic sequence -13, -29, -45, ...−13,−29,−45,...
Answers
Answer:
Step-by-step explanation:
57th term is -909
by a +(n-1 )d
here a= 13
d= -29- - 13= -16
and n as given is 57...substitute in eqn for nth term by using value of n as 57 and u have 57th term as -909
hope this helps !
The surface of an office desk has an area of 18 square feet. Its perimeter is 18 feet. What are the dimensions of the desk?
Answers
Answer:
the dimensions are 3 and 6 feet
Step-by-step explanation:
xy=18
x+y=9
x=9-y
y(9-y)=18
-y^2+9y -18=0
y^2-9y+18=0
(y-6)(y-3)=0
if y=6, x=3
if y=3, x=6
please help thanks please give explanation
Answers
The price of the car after 15% markup will be $8,280
How to calculate price after 15% of markup ?
The cost price of car for Hanks = $7200
Marking up of price is done by 15%
To find Markup price = Cost price + 15% of cost price
= 7,200 + 7,200 * 15/100
= 7,200 + 1,080 = $8,280
The 15% of car price is $1,080
The price of the car after 15% markup will be $8,280
What is percentage ?
In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100.Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.The formula used to calculate percentage is: (value/total value)×100%.To find 50 apples as a percentage of 1250 apples, one first computes the ratio 50/1250 = 0.04, and then multiplies by 100 to obtain 4%.To learn more about percentage refer :
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Maya wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Supposed glass costs $7 for each square foot. How much will the glass cost to replace the window?
Answers
Maya can expect to pay $252 to replace the glass window in her restaurant. This can be found by calculating the area of the window and multiplying it by the price per Square foot of the glass
The cost of replacing the glass window, we first need to determine the area of the window. Since the window is in the shape of a square and its side lengths are 6 feet, we can calculate the area as:
Area = side length x side length
Area = 6 feet x 6 feet
Area = 36 square feet
Next, we can calculate the cost of the glass needed to replace the window. We are given that the cost of the glass is $7 per square foot, so we can use the formula:
Cost = price per square foot x area
Substituting the values we have, we get:
Cost = $7/square foot x 36 square feet
Cost = $252
Therefore, the cost of the glass needed to replace the window is $252.
Maya can expect to pay $252 to replace the glass window in her restaurant. This can be found by calculating the area of the window and multiplying it by the price per square foot of the glass.
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Which image shows a plane slicing a cone to produce an ellipse?
Answers
Answer:
B
Step-by-step explanation:
took the assignment
The ellipse is obtained by slicing the cone at an angle. Then the correct option is B.
What is a conic section?A shape made up of a surface and a round cone intersecting. A conic section is sometimes a circle, an ellipse, a parabola, or a hyperbola, based on the direction of the surface with regard to the conical.
The ellipse is obtained by slicing the cone at an angle that passes through the surface of the cone.
Then the correct option is B.
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Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Answers
If 1 gallon equals 4 quarts then Lorraine can fill total 8 jars.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars.
First, we need to convert the 2.5 gallons of tomatoes to quarts.
As, 1 gallon = 4 quarts then
2.5 gallons = 2.5 x 4 = 10 quarts.
Now, number of quarts per jar
= 10 quarts / 1.25 quarts/jar
= 8 jars.
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7 - 3x = 5x + 13.
What is x?
Answers
Answer:
x= -3/4 or -0.75
Step-by-step explanation:
1) subtract 7 from both sides which would make it
-3x= 5x+6
2) Subtract 5x from both sides which would make it
-8x-6
3) Divide both sides by -8
which gives you -3/4
Answer:
x=-3/4
Step-by-step explanation: