Answer:
Ava is incorrect
Step-by-step explanation:
Given
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
[tex]Ava: \frac{(2x - 3y)^2}{(3y - 2x)^2} = -1[/tex]
Required
Determine if Ava is correct or not
Ava's solution is incorrect and the proof is as follows;
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2}[/tex]
Apply the following law of indices;
[tex]\frac{a^n}{b^n} = (\frac{a}{b})^n[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{2x - 3y}{3y - 2x}]^2[/tex]
Rewrite the numerator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-(3y - 2x)}{3y - 2x}]^2[/tex]
Cross out the common factor of the numerator and denominator
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [\frac{-1}{1}]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = [-1]^2[/tex]
[tex]\frac{(2x - 3y)^2}{(3y - 2x)^2} = 1[/tex]
Hence, the solution is 1; not -1
Her mistake is that, she did not apply the square on -1, after she factorize the denominator
Answer:
incorrect
Step-by-step explanation:
If x is the price of an item and it is marked 20 % off during the sale, what is the sale price?
Answer:
The sale price is 80% of x or x*0.8.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Help,No Links or i will report and i will give brainliest to first person who answers
Select the correct answer.
As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
ME = 1.96
0.48(1 - 0.48)
90
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
A. Sarah incorrectly found the margin of error because she used the wrong critical value.
B. Sarah incorrectly found the margin of error because she used the wrong sample proportion
C. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
D. Geoffrey incorrectly found the margin of error because he used the wrong critical value.
Answer:
Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Please give be brainliest, I really need it.
Geoffrey incorrectly found the margin of error because he used the wrong sample size. Therefore, the correct option is option B.
What is mathematical error?Measurement Error is the difference between the approximated value and the actual value of an object/quantity. The relative error can be computed in the percent with the help of relative error formula. Errors in measuring instruments occur due to inescapable faults in the measuring instrument and limitations of the human eye.
There are three types of errors in solving mathematics problems, which are factual error, procedural error, and computational error. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
Therefore, the correct option is option B.
To know more about mathematical error, here:
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A rectangle has a length of 2x+3 and a width of 10x-4. Find the perimeter and area of the figure
Step-by-step explanation:
perimeter is 4x+6 +20x-8=20x-2
area is 20x^2+22x-12
Brett has 100 feet of fence with which to make a rectangular cage for his dog. The area of the cage in square feet is given by the polynomial where w is the width of the cage in feet. What is the area of the cage if the width is 8 feet?
Answer:
Area of rectangle cage = 336 feet²
Step-by-step explanation:
Given:
Wire required for fencing = 100 feet
Width of rectangular cage = 8 feet
Find:
Area of rectangle cage
Computation:
Wire required for fencing = perimeter of cage
Perimeter of rectangular cage = 100 feet
2[l + b] = 100 feet
l + 8 = 50 feet
Length of rectangular cage = 42 feet
Area of rectangle cage = Length x Width
Area of rectangle cage = 42 x 8
Area of rectangle cage = 336 feet²
The formula t=\sqrt((h)/(16))represents the time t in seconds that it takes an object to fall from a heigh of h feet. A coin is dropped from a height of 75 feet. To the nearest second, how long did it take the coin to fall?
Answer:
We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America.
Julio runs 4 miles each time that he goes running. If he goes running 7 times a week, how many miles does he run total in one week?
Answer:
He runs 28 Miles every week!
Step-by-step explanation:
(The week is 7 days long)
1st DAY = 4M
2nd DAY = 4M
3rd DAY = 4M
4th DAY = 4M
5th DAY = 4M
6th DAY = 4M
7th DAY = 4M
(The M next to the 4 means miles you don't have to include it in your answer on your homework!)
4 + 4 + 4 + 4 + 4 + 4 + 4 = 28
OR
4 x 7 = 28
~ LadyBrain
Please help .......... ASAP !
Answer:
i think it is (d) - 24.1
Step-by-step explanation:
have a nice day
brainliest please?
help me, please a b c or d
Answer: B
Step-by-step explanation: ;)
54.98 in expanded form
Answer:
50 + 4 + .9 + .06
Step-by-step explanation:
Identify the line segment that is a radius.
Answer:
The line segment that is a radius is FD.
Hope it will help:)❤
the slope of the line below is -3. use the coordinates of the labeled point to find a point-slope equation of the line (5,-7)
a. y-7=3(x+5)
b. y-7=-3(x+5)
c. y+7=-3(x-5)
d. y+7=3(x-5)
Answer: C. y+7=-3(x-5)
10 Please! HELP! very easy! will give brainliest!
What does the 49 days until Fourth of July there are seven days in a week and how many weeks will it be Fourth of July
Answer:
It will be Fourth of July in 7 weeks.
Step-by-step explanation:
Since you know that there are seven days in a week, you can use a rule of three to find the amount of weeks in 49 days that is the number of days until Fourth of July:
7 days → 1 week
49 days → x
x=(49*1)/7
x=7
According to this, the answer is that it will be Fourth of July in 7 weeks.
Find the y-coordinate and the gradient at the points on the following curve corresponding to the given value of x:
1) 3x^2-2x^3, x = -2
What is the measure of wux in circle V?
0 60°
O 90°
O
120
0
150°
Answer:
The answer would be 120! I got it right
Quadrilateral ABCD has vertices A(- 3, 1), B(4, 2) B(4, 2), C(9, - 3) , and D(2, - 4) . aProve that quadrilateral ABCD is a rhombus b )Prove that ABCD is not a square .
9514 1404 393
Explanation:
The vectors representing the diagonals are ...
AC = C - A = (9, -3) -(-3, 1) = (12, -4)
BD = D - B = (2, -4) -(4, 2) = (-2, -6)
The dot-product of these vectors is the sum of the products of corresponding coordinates:
(12)(-2) +(-4)(-6) = -24 +24 = 0
When the dot-product is zero, the vectors are perpendicular. These vectors are different lengths (BD = 1/2·AC), so they are not the diagonals of a square.
__
The midpoints of the diagonals will be in the same place if the quadrilateral is a rhombus.
(A +C)/2 = (B +D)/2
We can simplify our effort a bit by multiplying by 2.
A+C = B+D
(9, -3) +(-3, 1) = (2, -4) +(4, 2)
(6, -2) = (6, -2) . . . . . . . . . . . . . . . . yes, the midpoints are the same point
__
We have shown the diagonals of the quadrilateral are different lengths and perpendicular bisectors of each other, so the quadrilateral IS A RHOMBUS, NOT A SQUARE.
David had 20 pencils 5 of them were green and 15 are purple what percentage were green what percentage were purple
Answer:
25% were green
Step-by-step explanation:
Answer:
Percentage of Green Pencils = 100* Green Pencils / Total Pencils
Percentage of Green Pencils = 100* 5/20
Percentage of Green Pencils = 500 / 20
Percentage of Green Pencils = 25%
Step-by-step explanation:
sorry i didnt know the percentage of purple
What is the value of x in the diagram?
List the following fractions from least to greatest
Answer:
It would be number 3. 1/7,3/7,4/7,6/7
Step-by-step explanation:
For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.
Pls help with my homework,
5,11,12
20 POINTS!
What is the volume of the container below?
2 rectangular prisms. A rectangular prism has a length of 14 inches, width of 6 inches, and height of 16 inches. A rectangular prism has a length of 10 inches, width of 6 inches, and height of 4 inches.
576 inches cubed
1,080 inches cubed
1,584 inches cubed
1,920 inches cubed
Answer:
1584 in³
Step-by-step explanation:
(14 x 6 x 16) + (10 x 6 x 4) = 1584
Answer:
1,584
Step-by-step explanation:
The scatter plot shows the number of absences in a week for classes of different sizes. Trevor concluded that there is a positive correlation between class size and the number of absences.
image
Which of the following statements BEST describes why Trevor’s conclusion was incorrect?
A.
The data shows a negative relationship between class size and number of absences.
B.
The data shows no relationship between class size and the number of absences.
C.
The largest class does not have the most absences.
D.
The smallest class does not have the least number of absences.
The statement which BEST describes why Trevor’s conclusion was incorrect is B. The data shows no relationship between class size and the number of absences.
What is Scatterplots?Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.
Given a scatterplot which shows the number of absences in a week for classes of different sizes.
From the scatterplot, we can see that,
For a class size of 15, there are 2 kind of absences, 2 and 10.
For class size of 20, there is a positive correlation.
Then again it increases and decreases for various sizes.
So there is no relationship in particular with the 2 variables.
Hence the correct option is B.
Learn more about Scatterplots here :
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An object is launched directly upward at 64 feet per second from a platform 80 feet high. Write the function for the height of this object at any given time (t seconds).
Answer: 144 feet
Step-by-step explanation:
PLEASE HELP IM REALLY FAILING
Step-by-step explanation:
1. the depth is what makes this a three-dimensional figure since there are three dimensions length width and depth all three of these dimensions are used to find the volume of a rectangular prism
2. L×w×h
Find the length of the third side. If necessary, round to the nearest tenth. 9 14
Answer:6
Step-by-step explanation:
Answer:
10.7 on deltamath
Step-by-step explanation:
solve the triangle give the measure of y
Given:
In triangle [tex]BGU,BG=x,GU=7,BU=y,m\angle U=90^\circ,m\angle B=44^\circ[/tex].
To find:
The value of y.
Solution:
In a right angle triangle,
[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]
In triangle BGU,
[tex]\tan B=\dfrac{GU}{BU}[/tex]
[tex]\tan 44^\circ=\dfrac{7}{y}[/tex]
[tex]0.966=\dfrac{7}{y}[/tex]
Isolating y, we get
[tex]y=\dfrac{7}{0.966}[/tex]
[tex]y=7.2463[/tex]
[tex]y\approx 7.2[/tex]
Therefore, the correct option is A.
Trains Two trains. Train A and Train weigh a total of 387 tons. Train Ais heavier than Trains. The
difference of their weights is 189 tons. What is the weight of each train?
Train A weighs
tons
Answer: the other train shoud weigh 198 hope it helps
Step-by-step explanation:
Answer:
train A=198
train B=189
The ratio of potatoes to onions is 1:2 respectively if there are 14 onions how many photatoes are there
Answer:
7
Step-by-step explanation:
The ratio of potatoes to onions is 1:2, meaning there are twice as many onions as potatoes.
[tex]\frac{\text{potatoes}}{\text{onions}}=\frac{1}{2}=\frac{x}{14}[/tex]
The fraction on the right is equivalent to 1/2, so the numerator is half the denominator. There are 7 potatoes.
11/3 can be thought of as a whole number and a fraction.
Complete the statements below to show the number of wholes and the fractional part that make up 11/
3.
