Answers
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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Related Questions
Select the correct choice that completes the sentence below.
The expression
f(x+h)-f(x)
h
is called the
of f.
Answers
Answer:
difference quotient
Step-by-step explanation:
I need to find values of product and quotient functions
Answers
The answers are 8 and 2
What is a function?A function is an equation that establishes a relationship between two or more variables.
Analysis:
r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x
r2(4) = 2 x 4 = 8
r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2
In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.
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hope you do well in math and thx for the help
Answers
[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]
Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answers
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP
Answers
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
From the factors above, it is clear that 7 and y are the greatest common factors.
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
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Factor out
21xy=3×7×y×x14y=2×7×ySo
7y is common hence 7y is GCFNow factor up
7y(3x+2)Option B
i need help with this question
Answers
2x2=4
8x4=32
8b2 = 32
The height in feet of 25 trees is shown below (lowest to highest). 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
outlier if any
Answers
There are no outliers in the dataset of the heights in feet of 25 trees
How to determine the presence of outliers?The sorted dataset is given as:
25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
Outliers are relatively far from other elements of the dataset.
The highest and the least elements are 54 and 25, respectively.
Other elements of the dataset are relatively close to these two elements
Hence, there are no outliers in the dataset of the heights in feet of 25 trees
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What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.
Answers
The surface area of this 3d character based off the illustration will be 289.
How to explain the surface area?It should be noted that the surface area simply means the amount of space that covers the outside of a shape.
Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.
In this case, the area will be:
Length × Width
= 17 × 17
= 289
In conclusion, the surface area is 289.
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A hiking trail is shown as 14cm on a map the scale is 1:150000 how far in km is it in real life.
Answers
the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:
14cm on the map
= 150,000×14cm
= 2,100,000 cm
= 2100 km
(= 2.1 Mm)
6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.
What was the original volume in liters?
Enter your answer as a decimal to the 10th place, like this: 4.2 l
Answers
The original volume of the gas was 9.0 liters.
What is proportion?Proportion is a mathematical expression of quantities in their rate form.
Analysis:
If 6 liters of the gas has a pressure of 4 atmosphere.
Then 1 atmosphere of the gas is 6/4 liters
Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters
In conclusion, the Original volume of the gas was 9.0 liters
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⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answers
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g
Answers
Answer:
1120π grams
==> 3518.58 grams using value of π = 3.14159 or
==> 3520 grams using value of π = 22/7
Step-by-step explanation:
Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder
The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm
Length = 1 meter = 100 cm
Here, volume V = π.4².100 = π x 16 x 100 = 1600π cm³
Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm
Using the ratio 22/7 for pi we get
M = 1120 x 22/7 = 3520 g
If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate
Which conversion factor should be used to convert the 152.5 g to moles?
Answers
Answer:
Step-by-step explanation:
You will need to know the gram weight per mole from the periodic table for the element ( or the molecule of elements) in question.
The diagram shows a circle inside a square (16cm)
work out the area of the circle
Answers
The area of the circle inside the square shape is 200.96 cm²
How to determine the area of the circle?The length of the square is given as:
L = 16 cm
This represents the diamater (d) of the circle.
The area of the circle is then calculated as:
Area = π(d/2)²
This gives
Area = 3.14 * (16/2)²
Evaluate
Area = 200.96
Hence, the area of the circle is 200.96 cm²
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please help please help
Answers
Answer:
angleEAF=angleBAC (शिर्षभिमुख कोण भएर)
10x+90+5x=180 (सरल कोण भएर)
or, 15x+90=180
or, 15x=180-90
or, 15x=90
or, x=90÷15
or, x=4
Answer:
x=6
Step-by-step explanation:
90°+5x+10x=180°
90°+15x=180°
15x=180°-90°
15x=90°
x=90/15
=6
10×6=60
5×6=30
60°+30°=90°
90°+90°=180°
x=6 QED
Please solve with explanation (high points)
Answers
Answer:
see the attachment photo!
Find the distance between the points (5,0) and (-5,3)
Answers
Answer:
10.4
Step-by-step explanation:
√(5--5)²+(0-3)²
√100+9
√109=10.4
Find the number of students that play
A basketball and football but not volleyball
B basketball only
C none
#15 play
basketball and volleybal
Answers
Answer:
#16 play basketball and football
For each of the descriptions below, create a system of linear inequalities (please help will mark brainliest for whoever answers correctly!)
Answers
Answer:
hope you can understand
Thandi has decided to make grocery combo’s for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo?
Answers
Answer:
3 cartons of sugar 5 cartons of flour and 4 cartons of rice
Step-by-step explanation:
First find the least common factor being 60 then divide by the number of packets each carton comes with to find how many cartons you need of each
Give the standard form 80,000+200+2
Answers
Answer:
80,202 = 8.0202 × 10⁴
2 ³✓3 × 3✓2 please answer this fast
Answers
[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]
Hopefully this helps
Helpppppp asap with this
Answers
Answer:
I have no clue, cant lie to you. God Bless you though.
Step-by-step explanation:
What is the volume of this rectangular
pyramid?
3 m
4 m
Submit
5 m
cubic meters
Answers
The volume of the given rectangular pyramid.
Solution:[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]
First, multiply the length (5), breadth (4) and height (3).
[tex]5×4×3[/tex]
[tex]= 60 \: cm [/tex]
Now, divide 60 by 3.
[tex]\frac{60}{3}[/tex]
[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]
Therefore, the volume of the given rectangular pyramid is 20 cubic meters.
two dozen of pen cost rupee 60.find the cost of 25 such pens.
Answers
Answer:
it costs rupee 3000 of 50 such pens
Explanation:
first, you have to multiply 50 x 60 which is 3000
second, two dozens of pens, right? so i add double 25 up which is 50 pens.
hope it helps and stay safe! (brainliest me pls)
In the number 9,206.457138, what is the value of 1?
Answers
Answer:
0.0001 or 1/10000 or 1 ten thousandths
Step-by-step explanation:
The 1 is 4 places after the decimal point so has a value of :
0.0001 or 1/10000 or 1 ten thousandths
Hope this helped and have a good day
Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
Answers
The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.
What is Arithmetic?Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.
In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.
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Answer: B & D
Step-by-step explanation: I did this assignment.
which inequality is represented by the graph
Answers
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.
Answers
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]
For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?
a.) 1116
b.) 1003
c.) 1235
d.) 896
Answers
Option B is the correct answer.
The sum of 17 terms of the given arithmetic sequence is 1003.
What is Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Here, given sequence :
11, 17, 23, 29, 35, ......
first term a = 11
common difference d = 17 - 11 = 6
n = 17
Sₙ = n/2 {2a + (n-1)d}
S₁₇ = 17/2 { 2 X 11 + (17-1)X6}
S₁₇ = 17/2 { 22 + 16 X 6}
S₁₇ = 17/2 X 118
S₁₇ = 17 X 59
S₁₇ = 1003
Thus, the sum of 17 terms of the given arithmetic sequence is 1003.
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