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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Find the area of the shaded sector.
85.64 m2
64.25 m²
7.75 m²
92.99 m²
Answer:
look at the picture I sent
Find the perimeter of the figure to the nearest hundredth
Answer:
perimeter of parallelogram 2 (a+b)
2 (7+5)
24
perimeter of semicircle=1\2 pi D
1/2 22/7 × 5
get your answer
add the 24 and the answer you get
if decimal move three decimal to right and that is the answe
Someone help plz make sure it’s right plz will mark brainiest if it is:)
Answer:
4th picture is the correct one :)
please somebody please help
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=27 \end{cases}\implies 27=ab^1\implies 27=ab \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} x=2\\ y=243 \end{cases}\implies 243=ab^2\implies 243=abb\implies \cfrac{243}{ab}=b \\\\\\ \stackrel{\textit{substituting from the 1st equation}}{\cfrac{243}{27}=b\implies \boxed{9=b}} \\\\\\ 27=ab\implies \cfrac{27}{b}=a\implies \cfrac{27}{9}=a\implies \boxed{3=a}~\hfill {\Large \begin{array}{llll} y=3(9)^x \end{array}}[/tex]
Help me how do you do this plz no links
Answer:
12
Step-by-step explanation:
According to the Pythagorean Theorem,
5^2 + X^2 = 13^2, OR
25 + X^2 = 169
X^2 = 169, SO X = √144, or 12
The unknown side has length 12.
QUICK PLEASE IM COuNTING ON YOU!!!!!!! If you were to connect three light bulbs in parallel and then connect three light bulbs in series, from which circuit will the light bulbs be brighter?
Answer:
SeeStep by Step explanation
Step-by-step explanation:
Currently, light bulbs need nominal voltage in their operation ( that is if your system is 120 V phase-neutral ) they will have a nominal voltage 120 (v). For that reason, all of them need this voltage for their proper operation, which follows that in any circuit the bulbs must be installed in parallel.
If you install them in series, the first will get most of the 120 (v) let´s say 90 (V), and maybe work, but the next one won´t work because the voltage will drop and between the terminals of the second bulbs you surely measure 20 (V) or less, the third one will be working with 10 (V) according to kirchhoff´s second law
Work out the surface area of this solid prism,
25cm
29cm
20cm
40cm
36cm
Answer:
The figure isn't there brother
Veronica bought a house with an FHA loan. She pays $780 a year for real estate taxes
and $900 a year for homeowner's insurance. What is the monthly amount added to
Veronica's mortgage payment?
A: $140
B: $65
C: Not enough information given to compute impound amount
D: $1,680
HELP PLEASE ANSWER THIS QUESTION!!!
Answer:
First use the formula of diamete which is d by 2
Step-by-step explanation:
which the answer comes 6 and after that use formula of area of a semcicle that is pie into radius square and the answer comes 113.14
What is the median? Help please
Answer:
-65
Step-by-step explanation:
Median = middle number
-76, -74, -67, -65, -63, -58, -48
out of the numbers I am shown, from the photo, I would say "-65" is the answer, but if there is another number I'm missing, add it to the row of numbers above and add the two numbers together and divide by 2
I hope this helps!
What is the difference between log 10 and log e?
The difference between log with base 10 and log with base e is that the log with base 10 is called a common logarithmic function and the log with base e is called a Natural Logarithmic Function .
What is Logarithmic Function ?
The logarithm is defined as a power to which a number must be raised in order to get some other values. Log is the most convenient way to express the large numbers.
The Logarithm with base 10 is defined as a power to which the number must be raised to get some other number. It can also be called as the logarithm of base 10, or common logarithm.
The general form of Common logarithm is written as: [tex]log_{10} (x)[/tex] ;
The Logarithm with base e is called as Natural Log , where e is an irrational number .
The general form to represent a Natural Log is : [tex]log_{e} (x)[/tex] or [tex]ln(x)[/tex] .
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The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1 in15 ft . The area of the floor on the blueprint is 114 in2 . What is the area of the actual gymnasium
The area of the actual gymnasium is 25,650 square feet.
We know that the scale factor of the blueprint to the actual gymnasium is 1 in 15 ft, which means that every 1 inch on the blueprint represents 15 feet in the actual gymnasium. To find the area of the actual gymnasium, we can use the formula:
Area of actual = (Area of blueprint) x (Scale factor)²
We know that the area of the floor on the blueprint is 114 square inches, so we can plug that into the formula:
Area of actual = 114 in² x (15 ft/1 in)² = 114 in² x 225 ft² = 25,650 ft²
Therefore, the area of the actual gymnasium is 25,650 square feet.
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Help please!!!!!!!!!
Answer:
a=8
b=⅛
c= 2.6
d= 0.26
that's all the answers
ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of BMC?help me please!!
John is 14 years older than Sam and the product of their ages is 207. How old is Sam? A. 11 B. 9 C. 23 D. 8
Answer:
The answer is A!
Step-by-step explanation:
Answer:
207 divided by 14 = 14 remainder 11 so.. none of the answers are right
14x11=154
14x9=126
14x23=322
14x8=112
Step-by-step explanation:
A photographer takes 12 different photographs. There are 3 sunsets, 4 oceans, and 5 mountains.
How many possible arrangements are there if all the photographs of the mountains are next to each other?
Answer:
4838400 arrangements--------------------------------------------------
Permutation of 5 mountain photographs:
P(5, 5) = 5! = 120Since all are next to each other, the mountain photographs count as one item along with the other 3 + 4 = 7 photographs and therefore the permutation for this is:
P(8,8) = 8! = 40320Total arrangements is:
120*40320 = 4838400Find the length of the third side. If necessary, round to the nearest tenth
On solving the provided question, we can say that it is right angle triangle provided, so cos 60 = 3/H => 1/2 = 3/H => H = 6
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
it is right angle triangle provided,
so
cos 60 = 3/H
1/2 = 3/H
H = 6
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can someone help with this please
9514 1404 393
Answer:
-2
Step-by-step explanation:
When you're looking for f(3), you want the y-value that corresponds to the x-value of 3. Find it by locating 3 on the x-axis. Then follow the vertical grid line to the point where the function value is shown. From there, identify the y-coordinate of that point. That y-coordinate is f(3).
f(3) = -2
__
The open dots at the ends of the curves at x=3 mean the function is not defined at those points: (3, 1) or (3, -9). The solid dot at (3, -2) tells you the function value at x=3 is -2.
An amusement park sold 45 child tickets. The other 18 tickets it sold were adult tickets. What is the ratio of the number of child tickets to the number of adult tickets and the ratio of the number of adult tickets to the number of child tickets ?
Answer:
2.5/1
Step-by-step explanation:
mark me brainliest pls
HIJK is a square and KI = 6√2. Find HI
The length of HI will be;
⇒ 6 units.
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
HIJK is a square.
The length of KI = 6√2
Now,
Since, HIJK is a square.
Hence, There are all sides are equal.
Let the side of square = x
So, By Pythagoras theorem, we get;
⇒ KI² = HI² + HK²
Substitute the given values, we get;
⇒ (6√2)² = x² + x²
⇒ 72 = 2x²
⇒ x² = 36
⇒ x = √ 36
⇒ x = 6
Thus, The length of HI = 6 units
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2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class
No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.
THE EQUATION REPRESENT SITUATION BY VARIABLEThe equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.
The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.
On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.
Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.
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victoria took a test and got 80% of the questions right. she answered 20 questions correctly. how mnay queestions were on the test
Answer:
25
Step-by-step explanation:
let there be x questions on the test
80% of x = 20
80% * x = 20
80% = 0.8
0.8 * x = 20
divide both sides by 0.8 to isolate x
x = 20/0.8 = 25
Jason has some money. His grandmother gives him another $18.00. Write an expression to show how much money Jason has now. Use x for your variable.
Answer:
x + 18
Step-by-step explanation:
The variable is going to be the amount of money Jason has before his grandmother gives him money.
That variable is x.
Then, his grandmother gives him $18. The $18 would be added to the amount of money that Jason already has.
The expressions would be x + 18.
Which equation best models relationship between the height X and circumference why of the young trees
NO LINKS !!
Answer:
i think it’s B
Step-by-step explanation:
How do you find the nature of the roots of a given quadratic equation?
To find the nature of the roots of a given quadratic equation, use the quadratic formula, which is [tex]x= \frac{(-b±\sqrt{b^2-4ac} )}{2a}[/tex].
Finding the Nature of Roots of a Quadratic EquationSubstitute the values of a, b, and c from the given equation into the formula and solve for x. The nature of the roots can then be determined by examining the sign of the discriminant, b² - 4ac.
If the discriminant is positive, the quadratic equation will have two real roots; if the discriminant is zero, the quadratic equation will have one real root; and if the discriminant is negative, the quadratic equation will have two complex roots.
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what is 6x²+7x-20? im having trouble trying to figure it out.
What’s the equation y= what ? pls help me!
Answer:
Y=mx+b
Step-by-step explanation:
That's the slope equation, though y could mean anything from a point on a graph to the question.
What is your walking rate in yards per minute?
the graph of h(x)=-x^2+4x+4
Answer:
Step-by-step explanation:
the coefficients of this quadratic are -1, 4 and 4, and so the discriminant b^2 - 4ac works out to 16 - 4(-1)(4), or 0. Thus this graph has two real, equal roots which are the same point on the graph, the vertex, the maximum of the function.
Letting x = 0, we find that y is 4. Thus, the y-intercept is (0, 4). Plot this.
Using the formula x = -b / [2a], we find the axis of symmetry:
x = -4 / [2*(-1)] = -4 / [-2] = +2
The axis of symmetry is the vertical line x = 2.
At x = 2, y = -(2)^2 + 4(2) + 4, OR -4 + 8 + 4, or 0.
The vertex and maximum value are (2, 0). The graph touches the x-axis in only one place.
Draw the axis of symmetry x = 2. Plot the vertex (2, 0) and the y-intercept. Reflect the y-intercept about the axis of symmetry to obtain a second point on the graph at the same y-value as (0, 4).
The domain of f(x)=ln(x) is negative infinity, infinity.
False, because a logarithmic function is defunded only for positive real numbers
False, because a logarithmic function is defined only for non-negative real numbers
False, because a logarithmic function is defined only for negative real numbers
Answer: Choice A
False, because a logarithmic function is defined only for positive real numbers.
===========================================================
Explanation:
Using your calculator, you should see that ln(0) is undefined or it leads to some kind of error. The same happens when you try ln(-1) or any other negative number. So ln(x) only allows x > 0. This applies to any log function, and not just the natural log function.
This is why choice A is the answer. Choice B is close, but the use of "non-negative" is not correct because that means 0 is involved. But as explained above, 0 is not allowed as part of the domain.
-----------------
Extra info (optional section)
As for why 0 and negative numbers are not allowed, you have to look carefully at what logs are designed for. They were formed to help solve exponential equations. Consider the following equation
2^x = 16
We could do guess and check to see which value would replace x. You should find that x = 4 is the solution. Though another way to solve is to use logs. The given equation converts to the log form of [tex]x = \log_2(16)[/tex]; note how the number inside the parenthesis is positive. We can't have 2^x equal to a negative value, due to powers of a positive number being a positive result. So that's why we rule out negative numbers as part of the domain. Zero is excluded for similar reasoning.
Answer:
negative infinity
positive infinity
Step-by-step explanation:
edg 2022