Answers
Answer:
[tex] {x}^{2} {y}^{8} [/tex] (second option)
Step-by-step explanation:
[tex] \frac{( {x}^{2} {y}^{3} {)}^{4} }{( {x}^{3} {y}^{2} {)}^{2} } [/tex]
[tex]( {x}^{2} {y}^{3} {)}^{4} = ( {x}^{2} {)}^{4} \times ( {y}^{3} {)}^{4} [/tex]
[tex] {x}^{8} \times ( {y}^{3} {)}^{4} = {x}^{8} {y}^{12} [/tex]
[tex] \frac{ {x}^{8} {y}^{12} }{( {x}^{3} {y}^{2} {)}^{2} } = \frac{ {x}^{8} {y}^{12} }{ {x}^{6} {y}^{4} } [/tex]
[tex] \frac{ {x}^{2} {y}^{12} }{ {y}^{4} } = {x}^{2} {y}^{8} [/tex]
[tex] = {x}^{2} {y}^{8} [/tex]
Related Questions
The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?
Answers
Answer:
a. solution
Area = 50 m^2
Area of square = l^2
or, 50 m^2 = l^2
or, √50m^2 = l
or, 5√2 m= l
Hence, The exact length of the playground is 5√2 m.
1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number
Answers
Prime number or u also can write palindromic number
Answer:
15647569
Step-by-step explanation:
1+1
can anyone plz with steps (not for useless man )
Answers
[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]
[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]
[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]
[tex]\\ \sf\longmapsto\infty-\infty[/tex]
[tex]\\ \sf\longmapsto\infty[/tex]
prove that the following arguments are valid by using formal proof. 1, if studies medicine be will get a good job,if they gets a good job,he will get a good wage,he did not get good wage therefore,he did not study medicine.
Answers
The argument; if he did not get a good wage, then he must not have studied medicine is valid.
What is valid proof?Let P represent "He studies medicine"
Let Q represent "He gets a good job"
Let R represent "He gets a good wage"
The argument can be written as:
P → Q
Q → R
¬R
∴ ¬P (conclusion: he did not study medicine)
Assume for contradiction that the argument is invalid:
P → Q
Q → R
¬R
P (assumption for contradiction: he studied medicine)
Use modus ponens to derive Q from (5) and (1):
Q (from 1 and 5 using MP)
Use modus ponens again to derive R from (6) and (2):
R (from 2 and 6 using MP)
This contradicts ¬R in (3), so our assumption in (5) must be false. Therefore, we can conclude that the argument is valid:
¬P (from contradiction of assumption in (5))
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i need the answers for all three of those
Answers
1. -2
3. 4
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
How to do problem 17
Answers
plugging in 5 and solving gives you the square root of 81 and the square root of 36. these would give you answers of 9 and 6 making it rational.
if this helped please give brainliest!
Suzie determined the range of a quadratic function to be y ≤ –5. Choose the correct interval notation.
Answers
The range of equation is
interval :(-5, ∞)interval :[-5, ∞)interval: (-∞, -5)interval: (-∞, -5]What is interval?A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
Given function : y ≤ –5
if, y > -5 then,
interval :(-5, ∞)
if y ≥ -5 then
interval :[-5, ∞)
if y < -5 then
interval: (-∞, -5)
if y ≤ -5 then
interval: (-∞, -5]
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Find the measurement of angle ABC
Answers
now that you have the complementary angle of 70/3 degrees, subtract 180-70/3 to get 156 2/3 degrees as your final answer
WHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)
Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)
Answers
Answer:
2n+18
Step-by-step explanation:
2xn=2n
2x9=18
2n+18
Answer:
A) 3x+4
B) Twice of sum of a number and 9.
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15-9+2.65+1.35+2(1.74)
Why does George need to fix the expression?
Answers
George needs to fix the expression because if you did the equation as is, it wouldn't subtract the added value from 15.
George always requires $1.48.
How to estimate the value of the expression?The order of operations exists as a law that tells the correct sequence of measures for considering a math expression. We can determine the mandate utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
Given: George tries to purchase a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each)
9 + 2.65 + 1.35 + 1.74 + 1.74 = 16.48
Subtract 15 to 16.48
15 - 16.48 = 1.48
George always needs $1.48.
Therefore, the proper answer is $1.48.
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I need to find all real values of x from this inequality x^2>2x-2 and also this question x^2>2x+2. I need the answer fast with working out pls
Answers
[tex]x^2\gt2x-2[/tex]
[tex]x^2-2x+2\gt0[/tex]
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
[tex]x^2-2x+2=0[/tex]
Use Vieta's rule to get the roots,
[tex](x-1)(x-1)=0[/tex]
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
[tex](-\infty,1)\cup(1,\infty)[/tex]
Hope this helps :)
There are five boys to every three girls in an introductory chinese course. If there are 384 students enrolled in the course. how many are boys?
Answers
384\3 (girls) gives you 128 (girls)
384-128= 256
and to check yourself do 256+128
giving you 384
Multply 7/8 to 2-1/3
Answers
Answer:
17/12
Step-by-step explanation:
7/8 x 2-1/3
7/4-1/3
17/12
please answer these
I need it rn
it's due to tommorow
Answers
2 3/4m for textbooks + 1 1/2m for Notebooks
2 3/4 + 11/2
11/4 + 3/2
11/4 + 6/4
17/4
4 1/4
Subtract5 1/2 - 4 1/4
11/2 - 17/4
22/4 - 17/4
5/4
1 1/4
Complete answer1 1/4 meters of plastic cover will be left
HOPE THIS HELPS. GOODLUCK:)
Simplify: show all your steps 30 POINTS!
Answers
5x²+4x+3=0 solve for x
Answers
Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
Find the sum
No links
Answers
⇛ -12 + 8
⇛ -4
[tex] \: [/tex]
Hey there!
The word “sum” simply means “to add” or “addition” in mathematical terms
So, we have to ADD -12 from 8 from each other.
Positives are on the RIGHT side of the number line whereas negatives are on the LEFT side of the number line
Start at -12 and go UP 8 spaces to the right.
-12 + 8
= -4
Answer: -4
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The bases of a prism are always
A. perpendicular
B. parallel
C. intersecting
D. rectangles
Answers
Answer:
D. rectangles
Step-by-step explanation:
Perpendicular is when they cross but the base isn't perpendicular
Parallel is when two lines never touch, but in the base of a prism there are lines that touch
Intersecting is when two or more lines meet and cross over each other
Name a point that is coplanar with points H, D, and A.
E
F
P
B
Answers
Here are two triangles identical in size.10 cm.The two triangles are overlapped 3 cm 6 cm.What is the area of the blue triangle showing?
Pls I will give Brainliest
Sorry if the picture is too dark :(
Answers
Answer:
51 cm²
Step-by-step explanation:
Let's ASSUME that the vertical measurements are taken perpendicular to the roughly horizontal baselines.
The three yellow triangles are all similar
the upper small triangle has height 3 and base 6 cm. The ratio of the lengths is 6/3 = 2
This means the medium (overlapping) triangle has lengths 10 - 3 = 7 and 7(2) = 14 cm
Area of the large triangle is ½(14 + 6)(10) = 100 cm²
Area of the overlapping yellow triangle is ½(7)(14) = 49 cm²
Exposed area of the blue triangle is 100 - 49 = 51 cm²
Both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.
Based on the information given from statement, we can determine the missing length of the yellow triangle by means of simmilarity ratios, that is:
[tex]\frac{3\,cm}{6\,cm} = \frac{10\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the base of the yellow triangle, in centimeters.
Now we proceed to find the length base:
[tex]x = \frac{6\,cm}{3\,cm}\times 10\,cm[/tex]
[tex]x = 20\,cm[/tex]
The area of the triangle can be found by means of the following expression:
[tex]A = \frac{1}{2}\cdot b\cdot h[/tex] (2)
Where:
[tex]A[/tex] - Area of the yellow triangle, in square centimeters.[tex]b[/tex] - Base, in centimeters.[tex]h[/tex] - Height, in centimeters.If we know that [tex]b = 20\,cm[/tex] and [tex]h = 10\,cm[/tex], then the area of the triangle is:
[tex]A = \frac{1}{2}\cdot (20\,cm)\cdot (10\,cm)[/tex]
[tex]A = 100\,cm^{2}[/tex]
The area of the yellow triangle is 100 square centimeters and the area of the blue triangle is also 100 square centimeters due to congruency. The dimensions of the section of the yellow triangle overlapping the blue triangle are [tex]b = 14\,cm[/tex] and [tex]h = 7\,cm[/tex]. The area of this section is:
[tex]A' = \frac{1}{2}\cdot (14\,cm)\cdot (7\,cm)[/tex]
[tex]A' = 49\,cm^{2}[/tex]
And the area of the rest of the blue triangle is:
[tex]A'' = A - A'[/tex] (2)
[tex]A'' = 100\,cm^{2}-49\,cm^{2}[/tex]
[tex]A'' = 51\,cm^{2}[/tex]
In a nutshell, both triangles have an area of 100 square centimeters and the area of the blue triangle showing is 51 square centimeters.
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3)There are 9 colorful socks in a drawer: 3 green, 2
purple,
2 Navy, 1 yellow, and 1 pink. What's the
probability of picking a green putting it on and
then choosing a purple?
Answers
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.
find the value of x.
Answers
9514 1404 393
Answer:
x = 4
Step-by-step explanation:
The parallel lines cut the transversals proportionally, so we have ...
(10 -x)/x = 3/2
2(10 -x) = 3x . . . . . . . multiply by 2x
20 -2x = 3x . . . . . . . eliminate parentheses
20 = 5x . . . . . . . . . . add 2x
4 = x . . . . . . . . . . . . divide by 5
Answers Please i gave the most amount of points i could!!!
Answers
Answer:
its c
Step-by-step explanation:
What is a rational number between 1/3 and 1/9?
Answers
Answer:
1/4
Step-by-step explanation:
its 0.25 which is rational. and its between the two.
Imagine that you must cross the hallway staying an equal distance from each laser. Il you get closer to one laser than the other, it will blast you. Use a compass and straightedge to draw a safe path through the hallway.
Answers
Answer:
can you answer this first
The discussion is shown below:
what is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
A hall way with laser imagine that you must cross the hall way while staying at equal distance from each laser.
So, from the question we can consider the a point o which is in between laser 1 and laser 2.
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Which number should replace Z?
A 7
B 6
C 5
D 4
Answers
Answer:
2 sorry i don't know that's what answer i got
30 points!
You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?
Answers
Answer:
The answer is (5, 2)
Step-by-step explanation:
I. If move left = -x
move right = +x
So -2 - 3 = -5 => move left
-5 + 10 = 5 => move right
I suggest that move left and right is x cordinate
The answer is (5,2)
Is that correct?
HELPPPP! PLEASEEEEE!
A mountain climber ascends a mountain to its peak. The peak is 10,740 ft above sea level. The climber then descends 400 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber.
A. 10,740 ft above sea level.
B. 10.340 ft above sea level.
C. 11,140 ft above sea level.
D. 400 ft below sea level.
Answers
Answer:
10,340 ft
Step-by-step explanation:
the peak is 10,740 ft and since the climber is at the peak, that's their elevation.
he goes down 400 ft so its 10,470 - 400 which is 10,340
Answer:
B. 10,340
Step-by-step explanation:
The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.
real life example of a ray
Answers
sun ray in space with the sun being the endpoint
Kate collected a sample of monthly rents and recorded the following numbers:
$500, $525, $550, $600, $600, $750, $775, $800, $1350.
If Kate drops the unusually high rent of $1350 from the data set, which of the following would NOT be affected?
a.) The highest monthly rent
b.) The average monthly rent.
c.) The most frequent monthly rent.
d.) The spread of the monthly rents
Answers
The property that they would never be affected by is the most frequent monthly rent. Option C is correct.
Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.
Thus, the property that they would never be affected by is the most frequent monthly rent. Option C is correct.
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