Answers
Answer:
[tex]\frac{9x}{y^3}[/tex]
Step-by-step explanation:
[tex]\frac{\left(3x^2y^4\right)^3}{3x^5y^{15}}[/tex]
[tex](3x^2y^4)^3 : 3^3x^6y^1^2[/tex]
= [tex]\frac{3^3x^6y^{12}}{3x^5y^{15}}[/tex]
[tex]\frac{3^{3} }{2} = 3^{2}[/tex]
= [tex]\frac{3^2x^6y^{12}}{x^5y^{15}}[/tex]
= [tex]\frac{x^{6} }{x^{5} } : x[/tex]
= [tex]\frac{3^2xy^{12}}{y^{15}}[/tex]
= [tex]\frac{y^{12} }{y^{15} } : \frac{1}{3{y} }[/tex]
= [tex]\frac{3^2x}{y^3}[/tex]
[tex]3^2=9[/tex]
= [tex]\frac{9x}{y^3}[/tex]
Related Questions
tìm x biết
x/7=6/-21
Answers
Answer:
x = - 2
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] = [tex]\frac{6}{-21}[/tex] ( cross- multiply )
- 21x = 42 ( divide both sides by - 21 )
x = - 2
On a coordinate plane, a curved line with a minimum value of (1.5, negative 1) and a maximum value of (negative 1.5, 13), crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 6).
Which lists all of the x-intercepts of the graphed function?
(0, 6)
(1, 0) and (2, 0)
(1, 0), (2, 0), and (–3, 0)
(1, 0), (2, 0), (–3, 0), and (0, 6)
Answers
Answer:
Third option: (1, 0), (2, 0), and (–3, 0)
Step-by-step explanation:
The x-intercepts are the points at which the graph of the function crosses the x-axis.
By reading the question, we can see that:
"... crosses the x-axis at (negative 3, 0), (1, 0), and (2, 0)..."
So the x-intercepts are:
(-3, 0)
(1, 0)
(2, 0)
Then the correct option is the third one:
"(1, 0), (2, 0), and (–3, 0)"
Answer: Option 3
Step-by-step explanation: Got it right on Edge
What is the equation of the graph
Answers
Answer:
y=6^x-2
Step-by-step explanation:
Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation
Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?
Answers
I think the answer is c in which graph shown in the above
Answer:
see attached, x>=1
Step-by-step explanation:
Find the equations of line in y = mx + b form...
a) Passes through the points (7, 9) and (2, -2)
Answers
Answer:
y = 11/5x - 32/5
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 9 / 2 - 7
-11 / -5
= 11/5
y = 11/5x + b
-2 = 11/5(2) + b
-2 = 22/5 + b
-32/5 = b
Which sequence of transformations produces R’S’T’ from RST?
On a coordinate plane, triangle R S T has points (0, 0), (negative 2, 3), (negative 3, 1). Triangle R prime S prime T prime has points (2, 0), (0, negative 3), (negative 1, negative 1).
a 90degree clockwise rotation about the origin and then a translation 2 units left
a 90degree counterclockwise rotation about the origin and then a translation 2 units right
a translation 2 units left and then a reflection over the y-axis
a translation 2 units right and then a reflection over the x-axis
Answers
Answer:
A translation 2 units right and then a reflection over the x-axis
Step-by-step explanation:
The given vertices of ΔRST are R(0, 0), S(-2, 3), and T(-3, 1)
The vertices of triangle ΔR'S'T' are (2, 0), (0, -3), (-1, -1)
The points are plotted with the aid of MS Excel, and by observation, we have that the image of ΔRST is located on the other side of the x-axis with each coordinate on ΔR'S'T' shifted 2 units to the right of ΔRST
A translation of ΔRST 2 units right gives;
(0 + 2, 0) = (2, 0), (-2 + 2, 3) = (0, 3), and (-3 + 2, 1) = (-1, 1), to give;
(2, 0), (0, 3), and (-1, 1)
A reflection of the point (x, y) across the x-axis gives (x, -y)
A reflection of the above points across the x-axis gives;
(2, 0) reflected about x-axis → (2, 0) reflected about x-axis → (0, -3), and (-1, 1) reflected about x-axis → (-1, -1), which are the points of ΔR'S'T'
Therefore, the sequence of transformations that produces R'S'T' from RST are;
A translation 2 units right and then a reflection over the x-axis
Answer:
D
Step-by-step explanation:
Took quiz
Charlotte needs at least 60 signatures from students in school so that she can run for student government president. She already has 12 signatures. She and her three friends plan to get the remaining signatures during gym.
If each person gets the same number of signatures, which inequality can Charlotte use to determine the minimum number of signatures each person should get so he/she can run for student government president?
Answers
If she already has 12 signatures: 60 - 12 = 48
48/3 = 16
so, she and her friends need at least 16 signatures each.
p being person;
p [tex]\geq[/tex] 16 (p has to be greater or equal than 16)
Elproducto de dos numeros es 880 si el multiplicando aumenta en 20 elproducto lo hace en 260 de como respuetsa la suma de ambos numeros
Answers
Answer:
[tex]\text {La} \, \text { suma }\, \text {de} \ \text {ambos} \, \text { numeros} \, \text { es }\ 80\dfrac{9}{13}[/tex]
Step-by-step explanation:
Los parámetros dados son;
El producto de los dos números = 880
El producto del multiplicando aumentó por 20 y el otro número = 260 + el producto inicial, 880
Dejemos que x represente el multiplicando, y que y represente el otro número, tenemos;
x × y = 880
(x + 20) × y = 880 + 260
Tenemos;
(x + 20) × y = x × y + 20 × y = 880 + 260
∴ 20 × y = 260
y = 260/20 = 13
y = 13
x = 880 / y
∴ x = 880/13
La suma de ambos números = x + y = 13 + 880/13 = 1049/13 = [tex]80\dfrac{9}{13}[/tex]
Write 9cm to 1m as a ratio
Answers
Answer:
1m=100cm
9:100
hope this helps
Answer:
9/100
Step-by-step explanation:
how many cm in a meter ?
100
so, 9 cm are 9 of 100 or 9/100
Find the area of the shaded region. Round your answer to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
The formula for finding the area of a pentagon(regular) given 1 side is
A = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}s^{2}\)[/tex]
s (the side) = 12
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}12^{2}\)[/tex]
Area = [tex]\frac{1}{4}\sqrt{5(5+2\sqrt{5})}144\)[/tex]
Area = sqrt(5(5 + 2*2.2361) * 36
Area = sqrt(5( 5 + 4.4721)) * 36
Area = sqrt(5*9.4721) * 36
Area = sqrt(47.3606) * 36
Area = 6.882 * 36
Area = 247.7485
The area of the circle = pi r*2 but we don't have r.
If you know any trig, the formula for the radius of the circle is
R = s/(2*sin(180)/n) n = 5 because you are using a 5 sided figure.
R = 12/(2*sin(180/5)
R = 12/2* sin(36)
R = 6 / sin(36)
R = 10.207
So the area of the circle is pi * R^2
Area = 3.14 * 10.2078^2
Area = 327.1854
The area of the shaded part is the difference between the 2 areas we found
Answer: 327.1854 - 247.7485
Answer: 79.44
Find the interior angle sum for the following polygon
Answers
Answer:
360/ 5 is the answer
Step-by-step explanation:
follow me and please follow me
If (m,2m+1) is a solution of the equation x +3y=7, find the value of m
Answers
Answer: m = 4/7
Step-by-step explanation:
x = m
y = 2m+1
so
x+3y = 7
or, m+3(2m+1) = 7
or, m + 6m+3 = 7
or, 7m = 4
so m = 4/7
HELP its not 64 I keep getting it wrong for some reason :(
instructions find the perimeter of the polygon
Answers
Answer:
Step-by-step explanation:
Starting on the left side
5 + 7 = 12
7 + 6 = 13
6 + 11 = 17
11 + 5 = 16
Total = 58
Use factoring to determine the x-intercepts and vertex of the quadratic function
y = 2x2 + 5x - 3 (pls answer)
Answers
consindering the equation ""yvariable m is the intercept ,,c constant
therefore from the equation by comparing...=mx+c where y
THIS IS SO HARD HELP PLEASE
Answers
Answer:
second one: EFG NML
THIRD: 82°
Find the perimeter of the sector of a circle of radius 14cm with an angle of 72 degree
Answers
Answer:
the area sector is 123.2
In a survey, 60 people were asked:
Here are the results.
Complete the table below with the view of drawing a pie chart.
Type of newspaper Angle (in )
Morning newspaper
Evening newspaper
No newspaper
Answers
What is the length of BD?
Answers
Answer:
BD = 10 √3
Step-by-step explanation:
ABC ∆ ,
BD ÷ 20 = sin 60
BD = 20 sin 60
BD = (20 √3) / 2
= 10 √3
The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle.
Answers
Answer:
14√2 cmStep-by-step explanation:
Area of circle equation:
A = πr²Let the radius of bigger circle is x.
We have:
π(14²)*2 = πx²Solve for x:
x² = 2(14²)x = √2(14²)x = 14√2 cm19.8cm
Step-by-step explanation:
First find area of small circle:
A = πr2
A = 22/7 x 14 x 14
A = 22 x 2 x 14
A = 616cm2
Area of bigger circle is double that of the small circle:
= 616 x 2
= 1,232 cm2
πR2 = A
22/7 x r2 = 1,232
r2 = (1,232 x 7) ÷ 22
r2 = 8624 ÷ 22
[tex] \sqrt{r ^{2} } = \sqrt{392} [/tex]
radius of bigger circle = 19.8cm
Find the area of a regular
polygon with 7 sides that has a
perimeter of 63 inches and an
apothem of 8 inches.
Answers
Answer:
The area of a regular polygon is A = (1/2)ap, where a is the apothem and p is the perimeter of the polygon.
The apothem is 8 inches and the perimeter is 6(7) = 42 since there are 7 sides of 6 inches.
Then the area is
A = (1/2)(8)(42) = 336/2 = 168 in2
I hope this helped!
Which angles are adjacent to each other?
Angle 8 and Angle 5
Angle 4 and Angle 6
Angle 5 and Angle 3
Angle 11 and Angle 8
Answers
Answer:
Angle 8 and angle 5 are the adjacent to each other
Given point (-6, -3) and a slope of 4, write an equation in point-slope form.
Answers
Answer:
C
Step-by-step explanation:
Can you help with this please and also explain?
Answers
Answer:
avocado=4
Step-by-step explanation:
Hi there!
We are given the following equations:
snail + snail - cellphone=avocado
maple leaf * cellphone=10
0+maple leaf=5
snail = cellphone + 1
avocado=?
This may seem confusing at first, but let's try to find the value of one of the items to help us to solve for the others
For example, we have the equation 0 + maple leaf= 5
Which means if we subtract 0 from both sides, we should get the value of the maple leaf
Which means that the maple leaf= 5
Now we know that maple leaf * cellphone = 10
So that means 5*cellphone=10
Divide by 5 on both sides
cellphone= 2
We know that snail = cellphone + 1
As we learned from above, cellphone= 2
Which means that snail = 2+1=3
We know that snail + snail - cellphone = avocado
And as calculated from above, snail = 3 and cellphone = 2
Which means:
3 + 3 - 2= avocado
Add
6-2=avocado
Subtract
4=avocado
Hope this helps!
8 . In which step does a mistake first occur?
(24+3 + 10)-14 + 2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4 +2
Step 4: 2
Answers
Answer:
Step 1
Step-by-step explanation:
Concepts:
When solving any expression or equation, we must go through the order of operations. The order of operations is a set of rules that tell us which operation we must do first. The set of rules is often represented by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.Solving:
Let's go through the order of operations to solve the expression, so we can see the mistake in the steps.
(24 + 3 + 10) - 14 + 2
1. Add 24 and 3 together
(24 + 3 + 10) - 14 + 2(27 + 10) - 14 + 22. Add 27 and 10 together
(27 + 10) - 14 + 2(37) - 14 + 237 - 14 + 23. Subtract 14 from 37
37 - 14 + 223 + 24. Add 23 and 2 together
23 + 225Now, let's compare these steps to the ones given.
There's a mistake in Step 1 because 24 and 3 was divided instead of added; 24 + 3 = 27, not 8.
What is the range of function represented by the graph below?
Answers
Answer:
y ≥ 0
Step-by-step explanation:
The range of the function is the output values.
The y value goes from 0 to infinity
y ≥ 0
Simplify the expression:
4m + 5 - 3m
Answers
Answer:
m+5
Step-by-step explanation:
4m + 5 - 3m
Combine like terms
4m-3m +5
m+5
Answer:
This equation simplified is [tex]m+5[/tex]
Step-by-step explanation:
To simplify this expression subtract 3m from 4m to get 1m or m.
ILL GIVE A BRAINLISTYY HELP PLS
Answers
Answer:
?
Step-by-step explanation:
6-
С
5
B
B
4-
3-
D
2-
A
А
1-
0
-7
-5
0
-6
.4
-3
-2
-1
2
3
4
5
6
-10
-2-
-3-
-4-
Which of the following sequences of transformations is used to obtain figure A'B'C'D' from ABCD?
Answers
Answer: -1
Step-by-step explanation:
Look at the patter it has
PLEASE HELP!
Simplify.
x^2-3x-10/x+3/2x^2-7x-15/x^2-9
Answers
Answer:
3rd option, x^2-x-6/2x+3
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
Simplify the expression, then we have
⇒ [(x² - 3x - 10) / (x + 3)] / [(2x² - 7x - 15) / (x² - 9)]
⇒ [(x² - 3x - 10) (x² - 3²)] / [(2x² - 7x - 15) (x + 3)]
⇒ [(x² - 5x + 2x - 10) (x - 3)(x + 3)] / [(2x² - 10x + 3x - 15) (x + 3)]
⇒ [(x - 5)(x + 2)(x - 3)] / [(2x + 3)(x - 5)]
⇒ [(x + 2)(x - 3)] / (2x + 3)
⇒ (x² - x - 6) / (2x + 3)
The expression in the simplified form will be (x² - x - 6) / (2x + 3). Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
List the first five multiples of 6.
a )
List the first five multiples of 9.
b )
What is the Lowest Common Multiple of 6 and 9?
c)
Answers
a]. The first 5 multiples of 6 are 6, 12, 18, 24, and 30.
b]. The first 5 multiples of 9 are 9, 18, 27, 36, 45.
c]. Least common multiple (LCM) of 6 and 9 is 18.
a=6= 1,2,3,6,12
9=1,3,9,18,27
l.c.m is 1 and 3
