The equivalent fraction to the given complex fraction is [tex]\frac{2y-1}{3y+1}[/tex].
Given expression,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex]
We have to find the equivalent fraction of [tex]\frac{2-\frac{1}{y} }{3+\frac{1}{y} } } \\[/tex] .
On solving,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{\frac{2y-1}{y} }{\frac{3y+1}{y} }[/tex]
Eliminating y from numerator and denominator we get,
[tex]\dfrac{2-\frac{1}{y} }{3+\frac{1}{y} } } =\dfrac{2y-1} {3y+1} }[/tex]
Hence the required expression is [tex]\frac{2y-1}{3y+1}[/tex].
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Answer:
The answer is D :)
Step-by-step explanation:
2y-1/3y+1
PLEASE HELP ME (third times the charm)!!!!!!!
Answer:
the first option i think
There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?
Answer:
57 Students........................
The image below represents a Function. Describe what is happening in this "machine".
Answer:
The input is being multiplied by 10.
This can be represented with the function x * 10 = y with x representing the input and y representing the output.
Step-by-step explanation:
Can someone help me make sense of the problem. Provide an explanation and answer if at all possible
Answer:
1.728×10¹⁵
Step-by-step explanation:
You may recall from 3rd grade that multiplying by 10 adds a zero to the right of a number (moves the decimal point 1 place to the right).
An exponent is used to signify repeated multiplication. These facts together are used to translate to/from scientific notation.
10 = 1 × 10
100 = 1 × 10 × 10 = 1 × 10²
__
Continuing in like fashion, 5.4×10⁸ represents 5.4 × (1 followed by 8 zeros).
Similarly, 3.2×10⁶ = 3.2 × (1 followed by 6 zeros)
The product will be ...
(5.4×10⁸)×(3.2×10⁶) = (5.4×3.2) × (1 followed by 8+6 = 14 zeros)
= 17.28 × 10¹⁴
= (1.728 × 10) × 10¹⁴ . . . moving the decimal point so there's 1 digit to its left
Adding that extra zero into the count we already have, this becomes ...
= 1.728×10¹⁵
_____
Additional comment
Your scientific or graphing calculator will have a mode for showing numbers in scientific notation. You can enter these numbers directly into your calculator and have it show you the result in scientific notation.
Or, you can use a spreadsheet with appropriate output cell formatting.
Answer:
1.728×10¹⁵ is the answer
Suppose Earth’s axis was not tilted. What would be the effect of this on temperature variation?
Step-by-step explanation:
If earth did not tilt and orbited in an upright position around the sun, there would be minor variations in temperatures and precipitation throughout each year as Earth moves slightly closer and farther away from the sun. Basically, we would not have any seasons.
Answer:
Assuming you're saying the earth is flat in hence scenerio it would be hotter or. Colder depending how far the sun's placement is from the earth
Step-by-step explanation:
Closer to sun warmer you are
Shift in moon causes water drought or water rise
Which functions are invertible? Select each correct answer. A coordinate graph with both horizontal and vertical axes ranging from negative 10 to 10 in increments of 2. A line is graphed with one end is in the first quadrant and the other end is in the third quadrant. The line passes through the x axis between 0 and negative 2 and it passes the y axis between 0 and 2. A coordinate graph with both x and y axes are ranging from negative 10 to 10 in increments of 2. A parabola is drawn facing down whose vertex is in the first quadrant and the parabola crosses the x axis at begin ordered pair 0 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Parabola has arrows on both ends. An absolute value function graphed on a coordinate plane. The x and y axes range from negative 10 to 10 in increments of 2. The vertex is at begin ordered pair 0 comma negative 2 end ordered pair. The graph opens up and passes through begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 2 comma 0 end ordered pair. Graph has arrows on both ends. Graph of a square root function on a coordinate plane. Both axes range from negative 10 to 10 in increments of 2. The curve begins at begin ordered pair 0 comma 0 end ordered pair. It increases from left to right and passes through begin ordered pair 4 comma 2 end ordered pair. Curve has an arrow on one end.
Using function concepts, it is found that:
Graph 1 (Left-top) is invertible.Graph 4(Bottom-right) is invertible.A function f(x) has an inverse if, and only if:
[tex]f(a) = f(b) \leftrightarrow a = b[/tex]
That is, each value of the output y is associated with only one value of the input x.In this problem:
In graphs 1(left-top) and 4(bottom-right), these conditions are respected, hence, they are invertible. In the parabola of graph 2(top-right), for example, y = 0 is associated with both x = 0 and x = 2, so it is not invertible.In the absolute value function is graph 3(bottom-left), for example, y = 0 is associated with both x = -2 and x = 2, so it is also not invertible.To learn more about the use of graphs to verify if a function is invertible, you can take a look at https://brainly.com/question/13160937
Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.
Answer: the
Step-by-step explanation: your so broke you cant even afford lunch
Select all of the tables that show a proportional relationship between x and y.
Answer:
The First Table
Step-by-step explanation:
All values can be said to be directly proportional to one another being multipled by 3.
Identify the slope in the following equation: y= -x + 7
PLEASE HELP!!!!
Answer: The slope is -1 because this equation is already in y=mx+b so we dont have to apply the y2-y1 over x2-x1 formula you can easily identify the slope when its in y=mx+b because the slope always has a x after the number for example: 4x
Answer:
It is the coefficient of the x, when the y is isolated. In this case it is -1.
pls help for 50 pts!!!!!!!!!!!!!
Answer:
w is 22.5°
See solution in the photo
Answer:
22.5⁰
Step-by-step explanation:
<Q = <S = 5w⁰
<R + <S = 180 (Linear pair)
3w + 5w = 180
8w = 180
w = 180/8
w = 22.5⁰
Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?
Given that the total amount of land in acres is 538
The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres
Mathematically we have
538/34 = 15.823
But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15
Learn more about division of numbers:
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a
Two taxi companies have different pricing systems. Company A charges a flat fee of $8 plus $0.10
per mile driven. Company B does not charge a flat fee, but charges $0.60 per mile driven. At what
distance do both companies charge the same amount?
Answer:
16 miles
Step-by-step explanation:
let the number of miles driven be = x
Company A = Company B
8 + 0.10x = 0.60x
8 = 0.50x
x = 16
Hi ~ just a quick note:
I just started uploading videos to yt that contains steps to solving a problem. I sometimes share an unlisted video link so you can view it.
https://youtu.be/XhqLj_YOLBM
-Chetan K
I need help with this plz
Answer:11cute and undred
Step-by-step explanation:cute11
Please I need help!!
1. Complete the gaps:
α) 2,3dm² = …......mm²
β) 4.670 mm² = m²
γ) 0,0054km² =................dm²
δ) 307,3 acre= km²
2. Complete the gaps:
a) 0,3m² =..........dm² =..............cm² = mm²
β) 0,056dm² =.............cm² = mm²
γ) 7,31 cm² = mm²
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Report useless answers
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Answer:
1a 2dm²= 20000mm² 3dm²=30000mm²
b 18898.8194926 m²
c 0.0054 km²= 540000 dm²
d 1.21931784007 km²
2a 30dm²=3000cm²=300000mm²
b 560cm²=56000mm²
c 7.31cm²=731mm²
Please help me solve this
Answer:
i think 2²m² is answer. you are correct, my sweetie !
Answer:
c)
[tex] {2}^{2} {m}^{2} [/tex]
Step-by-step explanation:
2 × 2 =4 it can also be written as 2^2( 2 squared) which also equals 4
same with m
3 eggs weigh 120grams total. Assume each egg weighs the same, what is the Constant of Proportionality?
Answer:
let the weight of all the eggs be x g
therefore..
3x = 120
[tex] \\ x = \frac{120}{3} \\ x = 40g[/tex]
hope helpful~
Add the following: (i) 2a+b+c, a - b -c, 3a + b
y=−x−4
y=3/5x+4
How do i get the solution?
Answer:
by getting the solution
Step-by-step explanation:
Write the following numbers in order from least to greatest: -5.6, 7.95, 2.06, 0, -6.89
Please help :)
I think I know it but can someone help me double check
Answer:
-6.89, -5.6, 0, 2.06, 7.95
Step-by-step explanation:
Hope this helps!
-6.89.-5.6,0,2.06,7.95
Negatives are always lesser values than positives.
Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3
Step-by-step explanation:
Given,
the radius(r)of the cone's base = 8 cm
the height(h)of the cone = 8 cm
then the volume of cone
= 1/3 πr²h
= (1/3×22/7×8²×8 (substituting the value of r and h )
=(1/3×22/7×64×8)cm³
=(12544/21)cm³
=597.333cm³(ans)
If you face any doubt related to the solution please ask me
The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
What is the volume of a cone?The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.
The volume can be defined as a three-dimensional space enclosed by an object or thing.
The formula for the volume of the cone,
[tex]\rm V=\dfrac{1}{3} \pi r^2h[/tex]
r = radius of the circular base
h= perpendicular height of the cone
Here, r = 8 cm
h = 8 cm
So the volume of the given cone will be,
[tex]\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\[/tex]
V = 536.38 cubic m
Volume =536.38 cubic cm
Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.
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For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2
Applying the equation for the area of the trapezoid, it is found that the height is of 10 cm.
The area of a trapezoid is half the multiplication of the sum of the bases and the height, that is:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
For this problem, we have that: [tex]A = 205, b_1 = 20, b_2 = 21[/tex], hence:
[tex]A = \frac{h}{2}(b_1 + b_2)[/tex]
[tex]205 = \frac{h}{2}(20 + 21)[/tex]
[tex]20.5h = 205[/tex]
[tex]h = \frac{205}{20.5}[/tex]
[tex]h = 10[/tex]
The height is of 10 cm.
To learn more about area of a trapezoid, https://brainly.com/question/9918120
Answer:
The height of trapezoid is 10 cm.
Step-by-step explanation:
Given :
»» [tex]\rm{b_1}[/tex] = 20 cm»» [tex]\rm{b_2}[/tex] = 21 cm»» [tex]\rm{area}[/tex] = 205 cm²To Find :
»» Height of trapezoidUsing Formula :
[tex]{\star{\small{\underline{\boxed{\sf{\red{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}}}}[/tex]
✧ [tex]\rm{b_1}[/tex] = 20 cm✧ [tex]\rm{b_2}[/tex] = 21 cm✧ [tex]\rm{area}[/tex] = 205 cm²Solution :
Substituting all the given values in the formula to find height of trapezoid :
[tex]{\dashrightarrow{\small{\sf{Area_{(Trapezoid)} = \dfrac{1}{2} \Big(b_1 + b_2\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big(20 + 21\Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \Big( \: 41 \: \Big)h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{1}{2} \times 41 \times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{205 = \dfrac{ 41}{2}\times h}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = 205 \times \dfrac{2}{41}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h = \cancel{205} \times \dfrac{2}{\cancel{41}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =5 \times 2}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{h =10 \: cm}}}}[/tex]
[tex]{\star{\small{\underline{\boxed{\frak{\pink{h =10 \: cm}}}}}}}[/tex]
Hence, the height of trapezoid is 10 cm.
[tex]\rule{300}{1.5}[/tex]
1. Edna bought an RTW dress for Php575.00 at 20% discount. What was
the original price?
Answer:
i think original price Php656.25
Step-by-step explanation:
original price Php x
80%x = 575
x = 575×100/80
x = 656.25
original price Php656.25
Find the m, b, and write the equation for the following graph:
Answer:
y=3
Step-by-step explanation:
m=0
b=3
Consider a box weighing one pound. Five statues are in the box. The total weight is 36 pounds. How much does each statue weigh?
Answer:
7 Pounds
Step-by-step explanation:
36 pounds - 1 pound= 35 pounds
The 5 statues weigh 35 pounds.
35 pounds ÷ 5 statues= 7 pounds
Each statue weighs 7 Pounds
how to sovle
(x+1/x)^2
[tex] (\frac{x + 1}{x} ) ^{2} \\ = \frac{ {(x + 1)}^{2} }{ {x}^{2} } \\ = \frac{ (x + 1)(x + 1) }{ {x}^{2} } \\ = \frac{ {x}^{2} + 2x + 1}{ {x}^{2} } [/tex]
Hope you could get an idea from here.
Doubt clarification- use comment section.
Write
[tex] \frac{10}{12} [/tex]
in simplest form
[tex]\dfrac{10}{12} = \dfrac{10 \times \tfrac 12 }{12 \times \tfrac 12} =\dfrac{5}6[/tex]
Answer:
5/6Step-by-step explanation:
10 ÷ 2/12 ÷ 2=> 5/6Conclusion:
Therefore, the simplified form of 10/12 is 5/6.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Can someone help me with this?
Step-by-step explanation:
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
(a)
(f(4) - f(-6)) / (4 - -6) = (3 - 1) / (4 + 6) = 2 / 10 = 1/5
(b)
(f(2) - f(-2)) / (2 - -2) = (-1 - -3) / (2 + 2) = (-1 + 3) / 4 = 2/4 = 1/2
0.081 to simplest form
81/1000
hope this helps!
hai, I need help ;)
2 - 2/5
what expressions are equivalent to this
plz somebody answer my teacher is gonna turn red as a pepper so help me
NOW!!!!!!! PLZ:l
Step-by-step explanation:
Some expressions that are equivalent to this is: 1 - 1/5; 2 - 1 1/5; 3 - 2 1/5; etc.
Can you prove that 4+2=5+1 is true without solving both sides of equation?
Answer:
Here you go...
Step-by-step explanation:
You have 4, and you have 5.
You have 4+2 and you have 5+1
So, you take a 1 from the 2 in the first problem, which gives u 4+1 that equals 5.
Therefore, if u put the first equation in a simpler form then you get 5+1 with the other equation. So it would look like 5+1=5+1.
FURTHERMORE, 4+2= 5+1 (because you simplify 2 into a 1).
So. 5+1 equals 5+1. (which is common sense... 5+1= 6.)