Answers
Answer:
Option 1
Step-by-step explanation:
Given expression is:
[tex]\frac{(2mn)^{4}}{6m^{-3}n^{-2}} \\=\frac{2^{4}m^{4}n^{4}}{6m^{-3}n^{-2}}\\=\frac{16m^{4}n^{4}}{6m^{-3}n^{-2}}\\=\frac{8*2*m^{4}*n^{4}}{2*3*m^{-3}*n^{-2}} \\=\frac{8*m^{4+3}n^{4+2}}{3}\\=\frac{8m^{7}n^{6}}{3}[/tex]
So option 1 is the correct answer ..
Related Questions
15. SHORT ANSWER Define a variable and
write an expression to represent the
following phrase.
seven years younger than Lisa
Answers
Answer:
see below
Step-by-step explanation:
Let L = lisa's age
seven years younger than Lisa
L-7
What is the initial value of the sequence?
The points shown on the graph represent the numbers in a
geometric sequence.
Answers
Answer:
The initial value of the given geometric sequence is 2.
Step-by-step explanation:
The given points are (1,2), (2,4) and (3,8).
It means the first term is 2, second term is 4 and third term is 8. So, the common ratio is
[tex]r=\frac{a_2}{a_1}=\frac{4}{2}=2[/tex]
A geometric sequence is defined as
[tex]f(n)=ar^{n-1}[/tex]
Where, a is first term of the sequence, r is common ratio and n is number of term. In other words f(1) is the initial value of the geometric sequence.
The given geometric sequence is
[tex]f(n)=2(2)^{n-1}[/tex]
The value of f(1) is 2.
Therefore the initial value of the given geometric sequence is 2.
Answer:Just took the test, it is 2 on edg
Step-by-step explanation:
:)
Find the missing value so that the two points have a slope of -17/10 (-3,9) and (x,-8)
Answers
Answer:
x=7
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
(-8-9)/(x-(-3))=-17/10
-17/x+3=10
-17/7+3=10
-17/10=10
To find the missing value so that the two points have a slope of -17/10, we can use the slope formula. Substituting the coordinates into the formula, we get an equation -17/(x + 3) = -17/10. Solving for x, we find x = 7.
Explanation:To find the missing value so that the two points have a slope of −17/10, we can use the slope formula. The slope formula is (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, the first point is (-3, 9) and the second point is (x, -8).
Substituting the coordinates into the slope formula,
we have (-8 - 9) / (x - (-3)) = -17/10.
Simplifying this equation,
we get -17 / (x + 3) = -17/10.
Cross multiplying, we find x + 3 = 10.
Solving for x, we subtract 3 from both sides, giving x = 7.
Therefore, the missing value is 7.
Learn more about slope of a line here:https://brainly.com/question/34207674
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How will the solution of the system change if the inequality sign on both inequalities
Answers
Shown below
Step-by-step explanation:The first system of inequality is the following:
[tex]\left\{ \begin{array}{c}y>2x+\frac{2}{3}\\y<2x+\frac{1}{3}\end{array}\right.[/tex]
To find the solution here, let's take one point, say, [tex](0,0)[/tex] and let's taste this point into both inequalities, so:
FIRST CASE:First inequality:
[tex]y>2x+\frac{2}{3} \\ \\ 0>2(0)+\frac{2}{3} \\ \\ 0>\frac{2}{3} \ False![/tex]
The region is not the one where the point [tex](0,0)[/tex] lies
Second inequality:
[tex]y<2x+\frac{1}{3} \\ \\ 0<2(0)+\frac{1}{3} \\ \\ 0<\frac{1}{3} \ True![/tex]
The region is the one where the point [tex](0,0)[/tex] lies
So the solution in this first case has been plotted in the first figure. As you can see, there is no any solution there
SECOND CASE:First inequality:
[tex]y<2x+\frac{2}{3} \\ \\ 0<2(0)+\frac{2}{3} \\ \\ 0<\frac{2}{3} \ True![/tex]
The region is the one where the point [tex](0,0)[/tex] lies
Second inequality:
[tex]y>2x+\frac{1}{3} \\ \\ 0>2(0)+\frac{1}{3} \\ \\ 0>\frac{1}{3} \ True![/tex]
The region is not the one where the point [tex](0,0)[/tex] lies
So the solution in this first case has been plotted in the second figure. As you can see, there is a solution there.
CONCLUSION: Notice that when reversing the signs on both inequalities the solution in the second case is the part of the plane where the first case didn't find shaded region.
Choose the possible descriptions of cross sections formed by the intersection of a plane and a cylinder choose all that apply
-circle
-rectangle
-triangle
-line segment
-point
Answers
Answer:
circle and rectangle
Step-by-step explanation:
we know that
A cross section that is perpendicular to the base of cylinder is a rectangle
A cross section that is parallel to the base of cylinder is a circle
A cross section that is angled to the base of cylinder is an oval
Final answer:
A plane intersecting a cylinder can create a circle if perpendicular to the cylinder's axis, or a rectangle if cut parallel to the side of the cylinder. Ellipses are also possible when the cutting angle is oblique, and may look circular from certain perspectives. Triangles, line segments, and points are not typical cross sections for a cylinder.
Explanation:
When a plane intersects a cylinder, several different cross sections can result, depending on the angle and position of the plane relative to the cylinder. If the plane is perpendicular to the axis of the cylinder, the cross section will be a circle. If the plane intersects the cylinder at an angle to the axis, the cross section can be an ellipse, which in some cases may appear to be a circle depending on the perspective. A plane intersecting parallel to the side of the cylinder will produce a rectangle. It is not possible for a cylinder to have a triangular, line segment, or point as a cross section through normal slicing, as these do not represent the way planes intersect with the smooth curved surface of a cylinder.
Solve the following inequality algebraically: 1<3x-2<4
A. 1
B. 0
C. 1>x>2
D. 0>x>3
Answers
Answer:
1 < x < 2
Step-by-step explanation:
Given
1 < 3x - 2 < 4 ( add 2 to each of the 3 intervals )
3 < 3x < 6 ( divide each interval by 3 )
1 < x < 2
Answer:
A
Step-by-step explanation:
Edge 2021
8s+4(4s-3)=4(6s+4)-4
Answers
Answer:
8s + 4(4s - 3) = 4(6s + 4) - 4
8s + 16s - 12 = 24s + 16 - 4
24s - 12 = 24s + 12
This equation has no solution.
24 people go to joe's birthday party.half walk and a quarter travel by bus all the others go by taxi. How many guests walk? How many travel by bus? How many use taxis? What fraction use taxis? What fraction don't use taxis?
Answers
Answer:
How many guests walk? 12How many travel by bus? 8How many use taxis?4What fraction use taxis? [tex]\frac{1}{6}[/tex]What fraction don't use taxis?[tex]\frac{5}{6}[/tex]Step-by-step explanation:
Number of people that attended the party= 24.....let this be x
Number of people that walked= 1/2 x
[tex]=\frac{1}{2} *24 =12[/tex]
Number of people that travel by bus= 1/4 x
[tex]=\frac{1}{4} *24= 8[/tex]
Number of people that go by taxi= the rest
[tex]=24-(12+8)=24-20=4[/tex]
The fraction that used taxis= those that used tax/total number of people
Those that used taxi=4
Total number of people=24
Fraction = [tex]\frac{4}{24} =\frac{1}{6}[/tex]
Fraction that did not use taxi = whole-fraction that used taxi
[tex]\frac{6}{6} -\frac{1}{6} =\frac{5}{6}[/tex]
Which conic section does the equation below describe?
x^2+y^2+2x-8y-13=0
Answers
Answer: B) Circle
Step-by-step explanation:
First, complete the square:
x² + 2x + 1 + y² - 8y + 16 = 13 + 1 + 16
↓ ↑ ↓ ↑
(2/2) = (1)² (-8/2) = (-4)²
(x + 1)² + (y - 4)² = 30
The result is a circle whose center is (-1, 4) and radius is √30
conic section of the equation B .Circle.
What is conic section?A conic section (or simply conic, sometimes named a quadratic curve) exists as a curve acquired as the intersection of the surface of a cone with a plane.
The word canonical is used to indicate a particular choice from of a number of possible conventions. This convention allows a mathematical object or class of objects to be uniquely identified or standardized.
Canonical equation for circle is (x — x0)2 + (3, yo)2 = R2 ,
hence (x + 1)2 + (y — 3)2 = 4 describes a circle.
conic section of the equation B .Circle.
Standard form of a mathematical object is a standard way of presenting that object as a mathematical expression.
Often, it is one which provides the simplest representation of an object and which allows it to be identified in a unique way.
To learn more about conic section, refer
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what is 34/9 written as a decimal
Answers
Answer:
3.7
Step-by-step explanation:
To write 34/9 as a decimal you have to divide numerator by the denominator of the fraction.
We divide now 34 by 9 what we write down as 34/9 and we get 3.7777777777778
And finally we have:
34/9 as a decimal equals 3.7777777777778
Please mark brainliest and have a great day!
Answer:3.8
Step-by-step explanation:
34/9
9 into 34 is 3 remainder 7
:. 34/9
= (9 x 3 + 7)/9
=3.777778
=3.8
Find the area of a regular decagon with a 12.3 in, apothem and 8 in. sides.
A. 49.2 in.
B. 128 in
C. 492 in
D. 942 in.
Answers
Answer:
C
Step-by-step explanation:
The area (A) of a regular decagon is
A = [tex]\frac{1}{2}[/tex] perimeter × apothem
perimeter = 10 × 8 = 80 in, thus
A = 0.5 × 80 × 12.3 = 492 in² → D
What is the scale factor? ( the answer must be a fraction).
Answers
Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
Answer please. If you answer, you get 44 points. I don't use the points here. So answer please. I want full work.
Answers
Answer: you simplfy the two equations already there then plug them in to find factors
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
These are called vertical angles. Vertical angles are equal.
145 = 2x + 15
130 = 2x
x = 65
Ben climbed 15 feet up a hill,8 feet down a hill, and 11 feet up another hill. What is his overall change in elevation?
Answers
Answer:
18 feet
Step-by-step explanation:
15-8+11=18
find the ratio in simplest form.
30 minutes to 2 hours
Answers
Answer:
Answer 1:4 or 1/4
Step-by-step explanation:
30/120 reduced is 1/4 which would equal 1:4.
I'm learning this right now too well relearning and i hope i have helped you!
Answer:
1/4
Step-by-step explanation:
let f(x) = 5/x and g(x)=2x2+5x. What two numbers are not in the domain of f o g
Answers
Answer:
0 and -5/2
Step-by-step explanation:
g is the first function we consider because that is the function we are first plugging in values into since the order is f o g and not g o f.
g has domain all real numbers meaning you can plug in any number into g and get a number back
So now let's look at plugging in g(x) into f(x)
that is f(g(x))=f(2x^2+5x)=5/(2x^2+5x)
Here you are dividing by a variable
You have to watch out dividing by 0
The variable, 2x^2+5x, is 0 when....
2x^2+5x=0
x(2x+5)=0
x=0 or x=-5/2
So The domain is all real numbers except x=0 or x=-5/2
[tex](f \circ g)(x)=\dfrac{5}{2x^2+5x}\\\\2x^2+5x\not =0\\x(2x+5)\not=0\\x\not =0 \wedge x\not =-\dfrac{5}{2}[/tex]
Which number line represents the solution set for the inequality -4(x + 3) 5-2-2x?
O
+
-7
+
-6
+
-4
-5
-3
-2
-1
0
1
2
3
4
5
6
7
-7
+
-6
+
-5
+
-4
+
-3
+
-2
+
-1
+
0
+
1
+
2
+
3
+
4
5
6
7
-7 -6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
7
+
+
+
+
+
-7
-6
-5
-4
+ +
-3 -2
+
-1
0
1
2
3
4
5
6
7
Answers
Answer:
A
Step-by-step explanation:
Consider the smaller than sign as smaller or equal to sign as I couldn,t type the sign
-4(x+3)<-2-2x
Expand the bracket
-4x-12<-2-2x
Add 2x to both sides
-2x-12<-2
Add 12 to both sides
-2x<10
add 2x to both sides
0<10+2x
minus 10 on both sides
-10<2x
SImplify
-5<x
X is larger or equal to -5 which means the option A
Which graph represents an inverse variation
Answers
Answer:
The second graph.
Step-by-step explanation:
In inverse variation, an increase in one variable leads to a decrease in the other value in the relationship.
xα1/y
x=k/y
meaning
xy= constant
Such a graph slants with a negative gradient from left to right of the Cartesian plane. (the second graph).
Answer:
it's B
Step-by-step explanation:
QUICK!!
The x-intercepts of a quadratic function are −3 and 5. What is the equation of its axis of symmetry?
A. x=-3
B. x=1
C. x=5
D. x=-15
Answers
Answer:
B. x=1
Step-by-step explanation:
Let us define axis of symmetry first.
The point right in between the two x-intercepts of a quadratic equation is called axis of symmetry.
We have x-intercepts of -3 and 5
In ordered to find the axis of symmetry we have to find their middle intercept
To find the axis of symmetry:
[tex]= \frac{-3+5}{2}\\=\frac{2}{2}\\ =1[/tex]
So the axis of symmetry is x = 1 ..
Answer:
B x=1
Step-by-step explanation:
edge 2020 2021
In the triangle below, x=?. Round to the nearest tenth.
Please help!!
Answers
Answer:
58 deg
Step-by-step explanation:
Look at x and then look at the sides that are given... 9 is adjacent and 17 is the hypotenuse so use cosine.
cos(x)=9/17
To solve for x just use arccos( ) or cos^(-1)
Type cos^(-1)(9/17) into calc to receive answer (make sure mode is in degrees)
The answer should come to be roughly 58 deg.
Answer:
x ≈ 58.0°
Step-by-step explanation:
Since the triangle is right use the cosine ratio to solve for x
cosx° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{9}{17}[/tex], thus
x = [tex]cos^{-1}[/tex] ([tex]\frac{9}{17}[/tex] ) ≈ 58.0°
If A and B are dependent events, which of these conditions must be true?
Answers
Answer:
i would think A
Answer:P(B|A)is not equal P(B)
Step-by-step explanation:
Are all of the roots of the polynomial p(x)=x^3+3x^2-11x-5 rational numbers? Why or why not?
Answers
Answer:
Step-by-step explanation:
yes. polynomials only have rational numbers
Using the triangle pictured, find the measure of side AB. Round your answer to the nearest tenth. A) 1.6 B) 2.2 C) 2.7 D) 3.3
Answers
Answer:
Option B (AB = 2.2 units).
Step-by-step explanation:
The diagram shows that there are two sides given and one angle is given. Therefore, the sine rule must be used to solve the question. The sine rule can be written as:
sin ABC / AC = sin BAC / BC.
Plugging ABC=72 degrees, AC=2.5, and BC=2.1 in the sine rule gives:
sin 72 / 2.5 = sin BAC / 2.1.
Cross multiplying gives:
sin BAC = (2.1*sin 72)/2.5.
sin BAC = 0.79888747368.
Taking sin inverse on both sides gives:
BAC = arcsin (0.79888747368) = 53.0239949 degrees.
To find AB, first, the angle ACB is required. To find that angle, use the triangular law of angles. All the three angles sum up to 180 degrees. Therefore ACB = 180 - 72 - 53.0239949 = 54.9760051 degrees.
Now applying the Sine Rule to find AB:
sin ACB / AB = sin ABC / AC.
sin (54.9760051) / AB = sin 72 / 2.5.
AB = (2.5*sin (54.9760051))/sin (72) = 2.2 (to the nearest tenth).
Therefore, AB = 2.2 units, i.e. Option B!!!
A rectangle's length is 5 inches more than twice its width. Its area is 50 square inches. Which equation can be used to find
its width, w?
Answers
Answer:
I think the answer would be 5 divided by 50 times two to find the width.
Step-by-step explanation:
I think my answer above explains it well enough.
Answer: w(2w + 5) = 50
Step-by-step explanation:
Edna says that when (x - 2)^2 = 9, that x - 2 = 3. Use
complete sentences to explain whether Edna is correct.
Use specific details in your explanation.
Answers
Answer:
She is partially correct. There are 2 possible answers to this problem, and x - 2 = 3 is one of the answers. When applying the square root to both sides, the resulting answer could be either negative or positive. Therefore, applying the square root to both sides leads to the two following equations: x - 2 = 3 or x - 2 = -3.
SQ bisects TSR. Find the value of x.
Answers
Answer: The answer is 10
Answer:
10
Step-by-step explanation:
math
Solve the system of equations
x + 3y = −1
2x + 2y = 6
Answers
y = -2
x = 5
*Step By Step Explanation*
To find y:
You’ll need to remove the x from the TOP equation, to do so,
You’ll need to find what is x + y, like so
2x + 2y = 6
x + y = 3
After you get this from division, subtract x + y from x + 3y and you’ll get this:
x + 3y - (x + y)
= x + 3y - x - y
= 2y
To find what 2y is, you have to subtract the value of x + y which is 3 from the value of x + 3y which is -1.
-1 - 3 = -4
Hence,
2y = -4
y = -2
To find x:
You would need to substitute the expression given with y. Like so:
x + 3y = -1
x + 3(-2) = -1
x - 6 = -1
x = 5
Hope it helps!
(There are also other ways to solve this system)
Find the distance between the pair of points A(-1,8) and B(-8,4)
Answers
The distance between the pair of points A(-1,8) and B(-8,4) is 15.
In geometry, the distance formula is:
√(x2-x1)2+(y2-y1)2
Now we can just plug in the x and y values:
√(-1-8)2+(8-(-4)2
√(-1-8)2+(8+4)2
√(-9)2+(12)2
√(81+144)
√(225)
15
So our distance is 15 units.
Learn more about the pair of points at
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Final answer:
The distance between points A(-1,8) and B(-8,4) is calculated using the distance formula derived from the Pythagorean Theorem and is approximately 8.06 units.
Explanation:
To find the distance between two points on the Cartesian plane, you can use the distance formula, which is derived from the Pythagorean Theorem. In this case, the points are A(-1,8) and B(-8,4). The formula is as follows:
d = √((x2 - x1)² + (y2 - y1)²)
Here's how it's done step-by-step:
Subtract the x-coordinates of the two points: -8 - (-1) = -7.
Subtract the y-coordinates of the two points: 4 - 8 = -4.
Square both differences: (-7)² = 49 and (-4)² = 16.
Add the squares of the differences: 49 + 16 = 65.
Take the square root of the sum:
√65 approx 8.06.
Therefore, the distance between points A and B is approximately 8.06 units.
What is the volume of this triangular prism?
22.4 cm
18.1 cm
28 cm
313.6 cm3
506.8 cm3
5,676.16 cm3
11,352.32 cm3
Answers
Answer:
[tex]V=5,676.16cm^3[/tex]
Step-by-step explanation:
The volume of a triangular prism is defined by the formula:
[tex]V=(area-of-base)*(length)[/tex]
In this case the base is triangular and the area of a triangle is: [tex]A=\frac{1}{2}(base)*(height)[/tex]
Then the volume is:
[tex]V=\frac{1}{2}(base*height*length)[/tex]
Now we have to replace with the given values:
[tex]V=\frac{1}{2}(22.4cm*18.1cm*28cm)\\\\V=\frac{1}{2}(11,352.32cm^3)\\\\V=5,676.16cm^3[/tex]
Then the correct answer is the third option.
[tex]V=5,676.16cm^3[/tex]
Answer:
5,676.16 is your answer 2021 Edge
I got it right
Step-by-step explanation:
What is the simplified form of the rational expression below 6x^2-54 / 5x^2+15x
Answers
Answer:
[tex]\large\boxed{\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}}[/tex]
Step-by-step explanation:
[tex]6x^2-54\qquad\text{distributive}\\\\=6(x^2-9)=6(x^2-3^2)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=6(x-3)(x+3)\\\\5x^2+15x\qquad\text{distributive}\\\\=5x(x+3)\\-----------------\\\\\dfrac{6x^2-54}{5x^2+15x}=\dfrac{6(x-3)(x+3)}{5x(x+3)}\qquad\text{cancel}\ (x+3)\\\\=\dfrac{6(x-3)}{5x}=\dfrac{6x-18}{5x}[/tex]