Answer:
The correct answer is 0 or choice A on edge
Step-by-step explanation:
right on edge
Therefore, value of r(x) as x approaches Infinity : zero
[tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]
What is function?"A function is a special relationship where for each input and their is single outputs."
What is limit?"Limit is defined as the value that a function approaches for the given input value."
For given situation,
We have been given a function,
r (x) = Start Fraction a x Superscript b Baseline + 8 Over c x Superscript d Baseline End Fraction
We can rewrite it as,
[tex]r(x)= \frac{ax^b+8}{cx^d}[/tex] , where a, b, c, and d are positive integers and b < d.
We need to find the value of r(x) approach as x approaches Infinity.
This means, we need to find the value of the limit [tex]\lim_{x \to \infty} r(x)[/tex]
Now, we find the value of limit for given function.
[tex]\lim_{x \to \infty} r(x)[/tex]
= [tex]\lim_{x \to \infty} \frac{ax^b+8}{cx^d}[/tex]
= [tex]\lim_{x \to \infty} (\frac{ax^b}{cx^d} + \frac{8}{cx^d})[/tex]
= [tex]\lim_{x \to \infty} \frac{a}{cx^(d-b)} + \lim_{x \to \infty} \frac{8}{cx^d}[/tex] ...............(since d > b)
= [tex]0 + 0[/tex]
= [tex]0[/tex]
Therefore, [tex]\bold{\lim_{x \to \infty} r(x)=0}[/tex]
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A soccer player kicks a ball towards the goal. The height of the ball follows a path modeled by the function ℎ()=−162+112. How long does it take the ball to hit the ground?
If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t
What value of x makes 6x + 5 equal to 12?
Answer:
x = 7/6
Step-by-step explanation:
6x+5 = 12
Subtract 5 from each side
6x+5-5 = 12-5
6x = 7
Divide each side by 6
6x/6 = 7/6
x = 7/6
Answer:
x=7/6
Step-by-step explanation:
6x+5 = 12
subract 5 from both sides
6x = 7
divide by 6 on both sides
x=7/6
Help, please!!! This is urgent!!!!!
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer:
Part A: one solution:
Part B: x = 3, y = 4.
1) Part A: how many solutions does the pair of equations for lines A and B have?
The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.
In this case, there are two straight lines, which intersect in one and only one point.
Hence, the system has one solution.
2) Part B: what is the solution to the equations of lines A and B?
The solution is the pair of coordinates of the intersection point. It is (3, 4).
Therefore, the solution is x = 3, y = 4.
Step-by-step explanation:
MRK ME BRAINLIEST PPLLZZZZZZZZZZZZZZZZZZZ
Shane is standing near a cell tower. The angle of elevation from him to the top of the tower is 73°. Cara is standing 10 feet behind Shane (further away from the cell tower). From her, the angle of elevation to the top of the tower is 65°. What is the height of the tower, rounded to the nearest tenth of a foot?
Answer:
75ft
Step-by-step explanation: angles
how to solve y=-5/2x+4, Y=-1 using substitution
(i need the steps not just the answer)
Answer:
Step-by-step explanation:
- Since y = -1, we will substitute the y variable in the equation for -1.
-1 = -5/2x + 4
- Take away 4 from both sides in order to find out what x equals so we can substitute it.
5 = -5/2x
- turn it into a positive by multiplying each side by -1.
-1(-5 = -5/2x) =
5 = 5/2x
- Divide each side by 5.
1 = 1/2x
- Multiple both sides by 2.
2 = x
- Substitute the variables.
x = 2
y = -1
-1 = -5/2(2) + 4
What is the correct answer?
Answer:
yellow
Step-by-step explanation:
this is how I solved it....
have a great day!
Smart people I ask for you to help me pls
Answer:
d) -90º
Step-by-step explanation:
The diagram shows a triangle.
What is the value of b?
The value of B is =31 .
the value of b is 31
only answer if you know this if i see a link its a report
∞√5±x+5√15x+∞=
Answer:
the exact form is 2/5. the decimal form is 0.4 ig
Step-by-step explanation:
Answer:
this is so a.s.s i need my account unbanned #freeitzel #freeitzelsotheracc #itzelneedssaving
Step-by-step explanation:
Addison prepares 9 cups of salsa her cookout. she divided it into 1/4 of cup servings how many servings are available.A (12 servings) B (14 servings) C (15 servings) D ( 36 servings)
Answer:
The answer is D or 36
Step-by-step explanation:
Divide the cups by servings
9/.25=36
Drag each tile to the correct box. Amanda, Derrick, and Todd attend the same high school. Each student works as the cashier one night a week at the school's concession stand. The number of items sold at the concession stand to the first 20 customers on three different nights is represented on the dot plots below. Find the interquartile range, IQR, for each dot plot. Then, place the students in order from greatest to least IQR.
Answer:
Amanda > Todd > Derrick
Step-by-step explanation:
Amanda's IQR- 3.5
Derrick's IQR- 2
Todd's IQR- 3
The solution is, ordering the IQR in descending order :
Emma, Sally, Olivia
What is IQR?The interquartile range (IQR) contains the second and third quartiles, or the middle half of your data set. Whereas the range gives you the spread of the whole data set, the interquartile range gives you the range of the middle half of a data set.
here, we have,
Writing out the points obtained from the dot plot, and applying the relevant formula, the Interquartile range of each dot plot is given below ;
Writing out each score on the dot plot to calculate the statistical values :
Emma's Scores:
6 , 7 , 8 , 8 , 9 , 9 , 9 , 10 , 10 , 11 , 11 , 11 , 11 , 11 , 12 , 13 , 13 , 13 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (5th + 6th) terms
Q1 = (9 + 9) / 2 = 9
Q3 = 3/4(n+)th term
Q3 = (12 + 13) ÷ 2 = 12.5
IQR = Q3 - Q1
IQR = 12.5 - 9 = 3.5
Sally's Scores:
6 , 6 , 6 , 7 , 7 , 8 , 8 , 8 , 9 , 9 , 10 , 10 , 10 , 10 , 10 , 10 , 11 , 11 , 12 , 12 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 3/4(n+1)th term
Q3 = (10 + 11) ÷ 2 = 10.5
IQR = Q3 - Q1
IQR = 10.5 - 7.5 = 3
Olivia's Scores:
6 , 6 , 7 , 7 , 7 , 8 , 8 , 8 , 8 , 9 , 9 , 9 , 9 , 9 , 10 , 10 , 12 , 12 , 13 , 14
Q1 = 1/4(n+1)th term
Q1 = (7 + 8) ÷ 2 = 7.5
Q3 = 1/4(n+1)th term
Q3 = (10 + 10) ÷ 2 = 10
IQR = Q3 - Q1
IQR = 10 - 7.5 = 2.5
Therefore, ordering the IQR in descending order :
Emma, Sally, Olivia
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complete question:
Drag each tile to the correct box.
Emma, Sally, and Olivia play for the school basketball team. The dot plots show the number of points each of them scored in 20 games.
Find the interquartile range, IQR, for each dot plot. Then, place the basketball players in order from greatest to least IQR.
Simplify the product. Write your answer in standard notation 2y(5y^2 + 3)
Answer:
10y^3+6y
Step-by-step explanation:
how long must the sides of an equilateral triangle be in order for the perimeter to be greater than 45m?
Answer:
Greater than 15.
Step-by-step explanation:
Answer:
Step-by-step explanation:
P = 3a
3a > 45
a > 15
Brainliest!!!!!marking<—
Answer:
I believe it would be (c)
Answer:
A
Step-by-step explanation:
A rectangular prism has a volume of 100 cm3. The length of the prism 25 cm, the height is 2 cm, but the width is unknown. What is the width of the rectangular prism?
4cm
2cm
3cm
none of the above
Answer:
w = 2 cm
Step-by-step explanation:
100 = 25 x 2 x w
w = 2 cm
The width of the rectangular prism is 2 cm.
What is volume?Volume is the amount of space occupied by a solid shape.
To calculate the width of the rectangular prism we use the formula below.
Formula:
V = lwh................. Equation 1Where:
l = Length of the prismw = Width of the prismh = Height of the prismV = Volume of the prismMake w the subject of the equation
w = V/lh................Equation 2From the question,
Given:
l = 25 cmh = 2 cmV = 100 cm³Substitute these values into equation 2
w = 100/(25×2)w = 100/50w = 2 cmHence, the width of the rectangular prism is 2 cm.
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please help me with geometry questions
Answer:
[tex]\angle NPM[/tex]
Step-by-step explanation:
Given
Circle of center P
Polygon JKLMN
Required
The central angle of JKLMN
From the question, we have that: the polygon and the circle have the same center (P).
This means that any central angle must pass through P
By this, PMN and NJK are incorrect
QPK divides the polygon and point Q is not on the vertex of the polygon.
By this, QPK is also incorrect
The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon
Select the correct answer from each drop-down menu.
The director of a community playhouse developed the function (1) = 40t to model the total revenue from ticket sales when t tickets are sold.
In the directors function, the number of tickets sold is the (independent, dependent) variable, and the total revenue from ticket sales ( changes by constant rate, changes by a constant factor) for each ticket sold.
Answer:
dependent & changes by a constant rate
Step-by-step explanation:
dependent because it involves something that involves something else
Is the number √5 rational, irrational, both rational and irrational, or neither rational nor irrational?
Hi there!
»»————- ★ ————-««
I believe your answer is:
The square root of 5 ([tex]\sqrt{5}[/tex]) is irrational.
»»————- ★ ————-««
Here’s why:
A rational number is a number that can be rewritten as a fraction of two integers with a nonzero denominator. Rational numbers include integers, fractions, terminating decimal, or repeating decimals.A square root that is perfect would be rational. A non-perfect square root is irrational.⸻⸻⸻⸻
Since the square root of 5 is not a perfect square, it would be irrational.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
i need help with both plz help
Answer:
6a + (6 x 3) = 60
or
6a + 18 = 60
Step-by-step explanation:
You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.
Therefore, the equation is:
6x + 18 = 60
Then just solve
6x + 18 = 60
- 18 -18
6x = 42
x = 7
If you buy a car for $349,985 and the car salesman gets 1/20 of the price of the car. How much will he get?
Answer:
$17499.25
Step-by-step explanation:
349,985*0.05=17499.25
QUICk GIVING BRAINLIEST TO RIGHT ANSWER
Answer:
I believe the answer is b.73.7
Answer:
73.7
Step-by-step explanation:
Find the 18th term of the following Arithmetic Sequence
- 2.3, -1.1, 0.1, 1.3........
solve for x: 5·2^3x =21
Answer:
x = 0.69 is what i got
Step-by-step explanation:
what value of x makes this equation -5/2x + 1 = x + 3 true
Answer:
x = -4/7
Step-by-step explanation:
-5/2x + 1 = x + 3
-7/2x = 2
(-2/7)-7/2x = 2(-2/7)
x = -4/7
Find the surface area of the composite figure.
SA = [ ? ] cm^2
What is the greatest common factor of 42 and 3
Answer:
3
Step-by-step explanation:
Prime factorize 42 and 3 and you'll eventually get 3 as your answer.
Answer:
3
Step-by-step explanation:
Since you are looking for the greatest common factor, 3 cant have many factors other than itself. So it would be 3, when simplified its similar to 42/3 and 3/3 where it would be 14 and 1.
Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5
Answer:
Are you sure the question is right?
Which number makes this equation true?
(12 + 5) * 7 = (12 x 7) + (5 * __)
(c) 7
7×(12 + 5) = (7×12) + (7× 5)
Explanation:
Distributive property say that multiplication an division can be distributed over parenthesis.
a x (b+c) = a x b + a x c
If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?
Answer:
160.13
Step-by-step explanation:
you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150
Daria makes and sells stuffed toys. She uses special fabric to cover a foam cube to make a number cube. How much fabric did Daria use to make this number cube?
NOTE: A cube has 6 sides that are all squares with the same dimensions. To find the surface area, find the area of all sides of the cube (top, bottom, front, back, left, right).
Answer:294
Step-by-step explanation: you’re trying to find the surface area of the cube to find out how much material Daria needs. To do so find the area of 1 face of the cube (which is a square). The problem gives us 1 side of the square as 7cm. A square has the same length for its 4 sides, so to find the area of that 1 face do 7 x 7=49. The question also gives the hint that a cube has 6 faces so you would multiply the 49 by 6 to get the total surface area of the cube. 49 x 6=294.
Not sure if this is right but hope it helps.