Answer:
Im not completely sure tho
Step-by-step explanation:
3.141529 I think so 3.14
2x^-3 y^-2
——————
4xy^5
[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]
Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(m² - 2m + 1) / (m - 1)
(m² - 2m + 1) / (m - 1)
= (m - 1) / 1
= m - 1
The first rational expression simplifies to (m - 1).
(m² - 3m + 2) / (m² - m)
(m² - 3m + 2)
= (m - 1)(m - 2)
(m² - m)
= m(m - 1)
So,
(m² - 3m + 2) / (m² - m)
= (m - 2) / m
The second rational expression simplifies to (m - 2) / m.
(m² - m - 2) / (m² - 1)
(m² - m - 2)
= (m - 2)(m + 1)
(m² - 1)
= (m - 1)(m + 1)
So,
(m² - m - 2) / (m² - 1)
= (m - 2) / (m - 1)
The third rational expression simplifies to (m - 2) / (m - 1).
Thus,
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
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The complete question.
Match each rational expression to its simplest form.
(m² - 2m + 1) / (m - 1)
(m² - 3m + 2) / (m² - m)
(m² - m - 2) / (m² - 1)
Options:
(m - 2) / m
(m - 1)
(m - 2) / (m - 1)
change the sign of the x-coordinate and keep the sign of the y-coordinate the same.
IT doesn't make any sense
What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
at tree is 24 feet tall and casts a shadow of 10 feet. at the same time, a tower casts a shadow of 25 feet. what's the height, in feet, of the tower?
a.45 feet
b.60 feet
c. 75 feet
d. 90 feet
Using similarity principle, the height of the tower in feet is 60 feet.
How to calculate the height of the tower?The height of the tower can be calculated using similarity principle.
Using similarity principle the corresponding sides are a ratio of each other.
Therefore,
let
x = height of tower
24 / x = 10 / 25
cross multiply
10x = 24 × 25
10x = 600
divide both sides by 10
x = 600 / 10
x = 60
Therefore, the height of the tower is 60 feet.
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Find the width of the river in Figure 20.18 to the nearest metre.
Answer:
~ 6 m
Step-by-step explanation:
For a right triangle
tan = opposite leg / adjacent leg
= height / width of river
tan 15 = 1.6 / width
width = 1.6 / tan 15 = 5.97 m
What is the slope of the line y=3-x/8?
What proportion could you use to
find the value of x?
Answer:
short leg : long leg
x : 11 = 3 : x
Step-by-step explanation:
short leg : long leg
x : 11 = 3 : x
[tex]\implies \sf \dfrac{x}{11}=\dfrac{3}{x}[/tex]
[tex]\implies \sf x^2=33[/tex]
[tex]\implies \sf x=\sqrt{33}[/tex]
Answer:
3/x=x/11
Step-by-step explanation:
A 7-pack of DVDs costs $31.71. What is the unit price?
The unit price of each is $4,53
Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.
$31,75 ÷ 7 = $4,53
Therefore, the unit value of each DVD is $4,53
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=In x. Match each transformation of function f with a feature of the transformed function. function decreases as x increases x-intercept at y-intercept at
The matching of each transformed function is as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
How to match transformations?A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.
From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;
g(x) = 2f(x) → y-intercept at (0,2)
h(x) = f(x) + 2 → asymptote of y=2
j(x) = f(x + 2) → y-intercept at (0,4)
m(x) = function decreases as x increases
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Segment AB with endpoints at A(6, 5) and B(6, 15) is partitioned by point P according to the ratio of 3:2. Find the coordinate of point P.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(6,5)\qquad B(6,15)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{P}}{\underline{P} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(6,5)=3(6,15)[/tex]
[tex](\stackrel{x}{12}~~,~~ \stackrel{y}{10})=(\stackrel{x}{18}~~,~~ \stackrel{y}{45})\implies P=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{12 +18}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +45}}{3+2} \right)} \\\\\\ P=\left( \cfrac{30}{5}~~,~~\cfrac{55}{5} \right)\implies P=(6~~,~~11)[/tex]
Part 1: Bob got tickets for himself and his son to go to a Saints game. Parking at the Dome is $20. If Bob spent $120 on tickets and parking, how much was each ticket? Choose the correct equation.
20x+2=120
2x + 120 = 20
2x+20=120
1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of
Given that ABCD is a parallelogram, the sum of its interior angles is:
360°
A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.
What is the sum of the exterior angles of CHFE?The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.
Which sides are parallel to CE?The sides that are parallel to CE are:
FH
AD and
IJ.The side that are perpendicular to CE is side side HH, hence we can state that:
CE ⊥ EH, because both lines intersect each other at right angles.
Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,
∠C + ∠H? = 180° - 90°
= 90°
What is the measure of the exterior angles of a Regular Pentagon?The measure of the exterior angles of a regular pentagon is 72°
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The graph of which of the following equations contains the point (-3,0)?
A. 22+y=6
B. x - 2y = 6
C. -x + 2y = 6
D. -2x + y = 6
Answer:
B. x-2y=6
Step-by-step explanation:
A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?
Answer:
6.8 miles
Step-by-step explanation:
We can apply the formula :
⇒ Mean distance per diver = Total distance covered / No. of divers
=============================================================
Given :
⇒ Number of divers = 28
⇒ Total distance travelled = 190.4 miles
===========================================================
Solving :
⇒ Mean distance = 190.4 miles / 28
⇒ Mean distance = 6.8 miles
The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.
Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
2x²-8x-10
how do i factor this explains step:)
Answer:
Step-by-step explanation:
Solution
The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.
2(x^2 - 4x - 5)
Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this
2(x 5) (x 1)
But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.
2(x - 5)(x 1 )
So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.
2(x - 5)(x + 1 )
What is the permimeter of a 4’ square
Answer:
16'
Step-by-step explanation:
4'
4 equal sides
4+4+4+4=16
Answer: Permimeter of a 4’ square is 16.
Step-by-step explanation:
given that:
• length = 4
∴ Perimeter of Square = 4 x length
⇒ P = 4 × 4
⇒ P = 16 units ...answer...
hope that helps...
what is the answer to this
Step-by-step explanation:
[tex]m {}^{2} + 5 \\ = 9 {}^{2} + 5 \: \: \: \: \: \: \\ = 9 \times 9 + 5 \\ = 81 + 5 \: \: \: \: \: \: \: \\ = 86 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
hope it will be helpful
Answer:
86
Step-by-step explanation:
Evaluate the expression:Plugin the value of m, in the expression
m² + 5 = 9² + 5
= 81 + 5
= 86
HELP!!! please this is my last question for my paper
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution.
OA. d-15=38; d = 53
OB. d-15=38; d = 23
C. d+15=38;d=23
OD. d+15=38; d = 53
Answer:
A
Step-by-step explanation:
because
d-15=38
d-15+15=38+15
d=53
Solve the following system of equations.
f(x) = 3x² - 7x-2
g(x) = -2x² +8
Answer:
f(x) = 3x²-7x-2
answer: (7+- √73)/6
g(x) = -2x² +8
answer:
x = +-2
Step-by-step explanation:
picture is attached
quadratic formula
click on the screenshot
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
How to find the Mean Absolute Deviation?From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
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I need help QUICK!!!
Answer:
87 in³
Step-by-step explanation:
that is the solution above
!!
Mum spent 3/5 of her money and put 1/8 of the remainder in the bank. If she had $750 left, how much did she start with?
Answer:
$2142.86
Step-by-step explanation:
The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.
===============================================================
Retracing the steps :
⇒ She put 1/8 of the remainder in the bank, which gives $750
⇒ R - R/8 = 750
⇒ 7R/8 = 750
⇒ R = 750/7 × 8
⇒ R = 107.142857 × 8
⇒ R = 857.142856
* Don't worry, we'll simplify at the end of the answer *
=============================================================
Now, this remainder is what was left after spending 3/5 of it.
⇒ T - 3/5T = 857.142856
⇒ 2/5T = 857.142856
⇒ T = 857.142856/2 × 5
⇒ T = 428.571428 × 5
⇒ T = $2142.86 (nearest cent)
What is the classification for this polynomial?
x²y + 3x³
Click on the correct answer.
monomial
binomial
trinomial
[tex]\large{\underline{\underline{\pmb{\frak {\color {blue}{Answer:}}}}}}[/tex]
Trinomial
[tex]\large{\underline{\underline{\pmb{\sf {\color {green}{Explanation:}}}}}}[/tex]
We can see that, in the given expression "x²y + 3x³" and the highest power is "3" so it's is trinomial.
In expression, if we the highest power is "one" then its called "monomial"(one), if the highest power is "2" then "binomial"(two) and lastly if it is "3" then "trinomial"(three).
[tex] \boxed{ \frak \red{brainlysamurai}}[/tex]
PLEASE GOD HELP ME!!!!
Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
Indices expressionGiven the rational function expressed as:
x = √rs
We can reconstruct the expression by writing it using exponents as shown;
[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]
Separate to have:
[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]
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Suppose y = 2x + 10. Find y if
x= -6.
Please help
Solve for x
The value of x is 5. The correct option is the second option- 5
Proportionality theoremFrom the question, we are to determine the value of x
By the proportionality theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Considering the diagram, we can write that
[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]
Then, we get
12 × 35 = 28(35-4x)
420 = 980 -112x
112x = 980 - 420
112x = 560
x = 560/ 112
x = 5
Hence, the value of x is 5. The correct option is the second option- 5
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let me know asap PLEASE
Answer:
the correct answer is B
Step-by-step explanation:
A function g is the inverse for the function f if for y-f(x), x-g(y)
y=7x-6
Replace x with y
x=7y-6
Solve for y in x=7y-6
Switch sides
7y-6=x
Add 6 to both sides
7y-6+6=x+6
Simplify
7y=x+6
Divide both sides by the coefficient of y, which is 7. We have:
7y/7 = x/7+6/7
7y & 7 are cancelled out and we're left with: x/7 & 6/7
Now we find the LCM of the denominators which is 7.
7 divide the denominators equal 1, we use the to multiply the numerators, x & 6
our final answer= x+6/7
I hope this helps.