Answers
The simplified expression is y.
To solve the expression [tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex], we can simplify and perform the necessary operation
Let's break it down step by step:
Step 1: Simplify the expression inside the parentheses.
[tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex]can be simplified as follows:
= [tex](x^{(2-3)} y^{(5-8)}) \times (x^{(5-4) }y^{(6-2)})[/tex]
= [tex](x^{(-1)} y^{(-3)}) \times (x^1 y^4)[/tex]
= [tex](1/x y^{(-3)}) \times (x y^4)[/tex]
=[tex]x^0 \times y^{(-3+4)[/tex]
= [tex]1 \times y^1[/tex]
= y
Therefore, the simplified expression is y.
The explanation is as follows:
We can simplify the given expression by applying the laws of exponents. In this case, when dividing two terms with the same base (x or y), we subtract their exponents. Additionally, any term raised to the power of 0 is equal to 1.
After simplifying the expression, we find that the answer is y. This means that the original expression[tex](x^2 y^5 / x^3 y^8) \times (x^5 y^6 / x^4 y^2)[/tex]simplifies to just y.
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Related Questions
There are 45 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
Answers
Today 2/5 of the remaining students gave their speech. That’s 12 more
So a total of 27 students gave their speeches. That means 18 students remain. The answer is 18
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
Answers
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
Acellus
Find the measure of < 4.
44
158°
{
*4 = [?]
Fnter
Answers
<4=22°
Answer:
<4+158=180 co interior angle
<4=180-158=22°
Answer:
solution given:
<4+<158°=180°[co- interior angle]
<4=180°-<158°=22°
<4=22° is your answer
which number multiplied by itself will give the output as 12345678987654321?
Answers
Answer:what we observe is that the square of the number follows a pattern: 2 1's gives 121. 3 1's gives 12321. so to get 12345678987654321 we need to get square of 9 1's(111,111,111).
Complete the expression so that it forms a perfect square trinomial--don't forget the sign for an operation. Then write the expression for the perfect square binomial using ^ to make an exponent. x^2+5 perfect square binomial
Answers
The perfect square trinomial is x^2 + 45/4.
To complete the expression as a perfect square trinomial, we need to add a term to the given expression, x^2 + 5, in such a way that it becomes a perfect square.
A perfect square trinomial can be written in the form (a + b)^2, where a and b are real numbers.
In this case, we can observe that the coefficient of x^2 is already 1, so the value of a will be 1.
To find the value of b, we take half of the coefficient of x, which is (5/2), and square it: (5/2)^2 = 25/4.
Now, we can add this term to the given expression:
x^2 + 5 + 25/4
Combining the terms, we get:
x^2 + 25/4 + 20/4
Simplifying further:
x^2 + 45/4
For the perfect square binomial, we can write the expression using the exponent notation as follows:
(x + (sqrt(45/4)))^2
Note that sqrt denotes the square root.
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There are 63 students marching in a band, and they’re marching in 7 rows. How many students are in each row?
Answers
Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour
Answers
Answer: 8.20 miles I believe
Erica finds a block of cheese in her
fridge. Originally, the block weighed
126 g, but there is only 60% of it left.
How many 10-g wedges can she cut
from the cheese that is left?
8
21
12
7
Answers
Answer:
7
Step-by-step explanation:
126 g is what you originally had which=60% of whats left
you have to find out how many 10 wedges she can cut from the cheese that is left over
Work Shown:to find how much is left you have to multiply 126 by 60% remember when you multiply you have to move the decimal, and decimal is moved twice, so the answer would be 75.60 after you were done solving it and the number that is closest would be 70 so you would multiply 10 by 7=70 and the reason you pick that is because it is closer to 75.60.
So 7 is the answer.
Find the 11th term in the following geometric sequence.
-5,-10,-20,-40
Answers
simplify - root (9+y)^2 if y <-10
Answers
Answer:
− √ ( 9 + y ) 2 > 1
Explanation:
− √ ( 9 + y ) 2 , where y < − 10
Simplify the expression,
− √ ( 9 + y ) 2 = − ( 9 + y ) = − 9 − y
When y < − 10 , − y > 10
Subtract 9 from both sides,
− 9 − y > 1 Hence,
− √ ( 9 + y ) 2 > 1
The value of the expression -√(9 + y)² is -9 which is more than -10. So, it is incorrect.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -√(9 + y)²
Simplify the expression, then we have
-√(9 + y)² = 0
(9 + y) = 0
9 + y = 0
y = - 9
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How many 3 digit numbers can be constructed from the digits 3 4 5 6 7
Answers
Answer:
60 numbers
Step-by-step explanation:
3 4 5 6 7
for everything starting with 3
345
346
347
354
356
357
364
365
367
376
375
374
we know the results will be the same
there was 12 numbers in that sequence
theres 4 other numbers it could start with
12 + (12x4) = 12x5
60
convert 320% to an equivalent decimal.
Answers
Answer:
Answer is 3.2
Step-by-step explanation: you can take any percent and divide it by 100. So in this example you would divide 320/100 and it will give you 3.2
Which of the following is the equation of the circle shown below?
Answers
Answer:
Step-by-step explanation:
Center is 6, -2
Radius is 7
(x-6)^2 + (y + 4)^2 = 7^2
==============
Please give brainliest, I really want to rank up, thank you!
Helpppppppppppppooopp
Answers
Answer:
I can't see clearly
Step-by-step explanation:
Marcus is painting the outside of a shoe box for an art project. The box is 9 cm x 10 cm x 3 cm. How much paint does Marcus need?
Answers
Answer:
294 cm^2
Step-by-step explanation:
This question is asking for the surface area of all 6 sides of the Shoe box. Hence we will have to multiply all the dimensions with each other twice to get the surface area of all the sides.
9x10x2=180
9x3x2=54
10x3x2=60
Adding them together we get 294 cm^2.
If anyone knows the answer, could you help LOL
What is the equation of the line that passes through the point (4, -7) and has a slope of -1/2 ?
Answers
Answer:
y = -1/2x - 5
Step-by-step explanation:
To solve this (and questions like it), use the formula for the equation of a line:
y=mx+c, where y and x are any given co-ordinates, m is the slope, and c is the y-intercept.
Since we know that the slope is -1/2, we can plug this into our equation to replace m:
y=mx+c
y=-1/2x+c
To find c, we plug in our co-ordinate (4,-7), so that c is the only unknown, and we can solve for it:
y=-1/2x+c
-7=-1/2(4)+c
-7=-2+c
c=-5
Now that we know c, we can finish off our equation:
y = -1/2x + c
y = -1/2x - 5
Solving two-step equations:
106 = 1 + 7n
Answers
-1+106=7n
105=7n
divide both sides by 7
n=15
Answer:
n = 15
Step-by-step explanation:
106 = 1 + 7n
1- 1-
-------------------
105 = 7n
÷7 ÷7
------------------
15 = n
your goal is to get the variable by itself
help, can you tell if im right?
Answers
Answer:
Yes, all of your answers are 100% correct
Step-by-step explanation:
You correctly set the values equal to the numerator or denominator (minutes = minutes) and any value will equal the same value.
For an F distribution, find the following:
(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6
Answers
Answer:
1.39 ; 2.02 ; 2.90
Step-by-step explanation:
From the F - distribution calculator
F0.25, 8, 2 ;
u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75
F value = 1.39
F0.10,12,15 :
u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90
F value = 2.02
F0.01,12,6
u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90
F value = 2.90
Unit 10 circles homework 2 back side
Answers
Write the standard form of an equation with p=3sqrt2, theta=135.
a. x-y+sqrt2=0
b. x-y+6=0
c. x-y+3sqrt2=0
d. x+y+sqrt2=0
Answers
Its b In normal form of a straight line, the equation is given by where p is the perpendicular distance of the line from the origin and is the angle between the perpendicular line and the positive direction of the x-axis.
Complete the square to find
the vertex of this parabola.
x2 - 8x - y - 4 = 0
([?], [ ]
Answers
Answer:
-20
Step-by-step explanation:
Complete the square to find the vertex of this parablola x^2-8x-y-4=0 {the second one of -20; so 4,-20}
Step-by-step explanation:
The answer would be (4,-20)
Fill in 4 and -20
consider the following total cost functions TC=3Q^3-5Q^2+4Q+150 find the Fixed Cost Function(FC)
Answers
Answer: 150
Step-by-step explanation:
A fixed cost is referred to as a cost that does not change with the output level that is, it doesn't change when there is a rose or reduction in the amount of goods or services that are produced.
Since the total cost function is given as
TC=3Q³ - 5Q² + 4Q + 150, we can infer that from the equation the fixed cost is 150 while the variable cost is 3Q³ - 5Q² + 4Q
Find the highest common factor(HCF) of 18 and 24
Answers
24 - 2,4,6,8,12
HCF = 8
what is 1000x45 how do i get the anwser
Answers
Answer:
45000
Step-by-step explanation:
put the equation like this
1000
x 45
And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by
Answer:45000
Step-by-step explanation:
so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest
The length of a rectangle is 3 times the width. The area of this rectangle is 243 feet squared.
What are the dimensions?
Width =____feet (this is the short side)
Length=____feet (this is the long side that is 3 times the width)
Answers
Step-by-step explanation:
width = x
length= 3x
Area = length * width
243=3x * x
3÷243 =3x^2÷3
√81=√x^2
x=9
3x=3*9=27
Width=9
Length=27
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.
Answers
Answer:
0
Step-by-step explanation:
am not sure, , have not studied
Calculate the area of the above triangle
07 square units
28 square units
14 square units
30.5 square units
Answers
Answer:
14 square units
Step-by-step explanation:
Equation:
Area of a triangle = h*b/2
Variables:
h = 4 units
b = 7 units
Solve:
h*b/2
= 4 units * 7 units /2
= 14 square units
Please mark brainliest if this helped!
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
Answers
Answer:
x=15
Angle (5x+6): 81
Angle (8x-39): 81
Step-by-step explanation:
5x+6=8x-39
add 39 to both sides
5x+45=8x
-5x on both sides
45=3x
divide both sides by 3
x=15
help please, also explain
Answers
Firstly, It says that the two triangles are similar .
The scale factor is 2 as 12 / 6 = 2
25 + 85 = 110
180 - 110 = 70.
70 degrees
Answer:
A: 70
Step-by-step explanation:
Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.
Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.
Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.
Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.