Please see my question in the attachment, thanks!
The limit of the function As x → - ∞, f(x) → 2.
What is the limit of a function?The limit of a function is the value the function tends to as the independent variable tends to a given value.
Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows
Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.
So, As x → - ∞, f(x) → 2.
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The perimeter of a rectangle is 50cm. The length is 2 more than three times the width. What is the length of the rectangle?
The length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
What is Perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines a two-dimensional shape or length in one dimension. A circle's or an ellipse's circumference is its perimeter. There are several applications for calculating the perimeter. The length of fence required to encircle a yard or garden is known as the calculated perimeter.
The perimeter (circumference) of a wheel/circle describes how far it can roll in one revolution. Similarly, the amount of string wound around a spool is proportional to the perimeter of the spool; if the length of the string were exact, it would equal the perimeter.
Given that,
Perimeter = 2(l + b) = 50cm
And also given that,
l = 2 + 3b
Substituting the value of l in perimeter we get
2((2 + 3b) + b) = 50cm
2(2 + 4b) = 50cm
4 + 8b) = 50cm
8b = 50 - 4
b = 46/8
b = 5.75
Substituting the value of b in l, we get
l = 2 + 3(5.75)
l = 19.25
Therefore, the length of the rectangle is 19.25 cm when it is 2 more than three times the width of 5.75 cm.
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A spinner rotates 405 times in 5 minutes. How many spins per minute?
Answer:
81
Step-by-step explanation:
divide 405 by 5 to get the number of rotations per minute.
Answer:
81 spins per minute
Step-by-step explanation:
Divide 405 by 5 to get 81 <(your unit rate)
Which of the following is the correct factorization of the polynomial below 2X squared -16 X +32
Answer:
it depends what you mean but if you taking out the gcf its 2(x^2-8x+16)
but if you mean like quadratic formula its (2x-8)(x-4) and if you wanna do the extra step to symplify that its 2(x-4)(x-4).
Answer:2(x-4)^2
Step-by-step explanation:
-8 = 32 - 5q
Find q please! (Please explain how aswell)
Answer:
q=8
Step-by-step explanation:
-5q=-8-32
-5q=-40
q=-40/-5
q=8
Answer:
q = 8
Step-by-step explanation:
32-5q=-8
subtract 32 from both sides
32-5q-32=-8-32
simplify
-5q=-40
divide both by -5
-5q/-5 = -40/-5
Answer
q = 8
The area of a square window is the same as the area of a rectangular window that is 16 in. Long and 4 in. Wide write and solve an equation to find the side length of the square window show your work
Answer:
Step-by-step explanation:
Let x be the side length of the square window. Then the area of the square window is x^2, and the area of the rectangular window is 16 * 4 = 64.
We can write the equation:
x^2 = 64
To solve for x, we can take the square root of both sides:
x = √64
x = 8
Therefore, the side length of the square window is 8 inches.
The length of a rectangle is twice the width. The area is 162 yd? Find the length and the width.
The length is yd.
(SimplifyJyour answer.)
Answer:
length = 2x = 2(9) = 18 yds
Step-by-step explanation:
Let width = x
Let length = 2x
Area = 162 yd2
length × width = Area
2x(x) = 162
2x2 = 162
Divide by 2 on both sides of equation.
x2 = 81
Square-root both sides of equation to undo the exponent.
x = √(81)
x = 9
Substitute this x value into the initial variables.
width = x = 9 yds
length = 2x = 2(9) = 18 yds
1. Use ( − 4) 2 − 28 = 8 for the following: a. Explain why ( − 4) 2 − 28 = 8 has two solutions. (5 pts) b. Solve the equation to find the solutions. Show your work. (5 pts)
Well, ( − 4) 2 − 28 = 8 has two solutions because (-4) -w = 8 = ? once determined - 4 would equal 20 + the left over which is 8. This can be solved multiple ways and even backwards.
For the the equation (-4)² - 28 = 8 the solutions are x = 2 and x = -10.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The equation (-4)² - 28 = 8 has two solutions because when we square -4, we get 16.
When we subtract 28 from 16, we get -12.
But if we add 28 to -12, we get 16 again.
So we have two values of x that satisfy the equation: x = -4 and x = 4.
b. We can solve the equation by adding 28 to both sides:
(-4)² - 28 + 28 = 8 + 28
Simplifying, we get:
(-4)²= 36
Taking the square root of both sides, we get:
-4 = ±6
So the two solutions are:
x = -4 + 6 = 2
x = -4 - 6 = -10
Therefore, the solutions to the equation (-4)² - 28 = 8 are x = 2 and x = -10.
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Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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The graph of the function rule that models the volume of the sphere has symmetry with respect to ____?
The correct option D: the origin, has the symmetry of the volume of sphere for the graph of the function rule.
Explain the term symmetry along origin?About the Origin: Symmetry. If a point appears on a graph at every time, then the graph is symmetric having respect to the origin. When seen in relation to the origin, this graph is symmetric.A function having a single term which is the sum of a real number, the coefficient, as well as a variable raised to something like a fixed real number is called a power function. (A coefficient is a number which multiplies a variable by an exponent.) Think of equations like area or volume as an illustration.For the stated question.
The volume of the sphere is modeled by the power function with respect to the radius as;
V = f(r) = 4/3πr³
As, r is independent of any of the coordinate axis.
Thus, the function rule's graph, which describes the volume of the sphere, is symmetric with regard to the origin.
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A file that is 284 megabytes is being downloaded. If the download Is 17.5% complete, how many megabytes have been downloaded? Round your answer to thenearest tenth.megabytesх5?
We are given the size of a file to download is 284 megabytes. If 17.5% has complete,
We want to find the megabytes that has been downloaded
Solution
We have
\(284mb\)The 17.5% of 284mb will be
\(\begin{gathered} \frac{17.5}{100}\times284 \\ =\frac{497}{10} \\ =49.7mb \end{gathered}\)Therefore, the megabytes that have been downloaded is 49.7mb (to the nearest tenth)
Which of the following is the slope of the line passing through each pair of points?
Point 1:(-9, -3)
Point 2:(-7, -5)
in this exercise we will write code to rotate the cube. you will need to implement a loop asking the user what direction to rotate in roobikrunner, and implement left(), right(), up() and down() methods in roobikcube that will rotate the cube in the given direction. for example, if the cube looks like: w b o g y r and you rotated left, the cube would now look like: w o g r y b
Here is an example of how the code to rotate the cube could be implemented in Python:
class RooCube:
def __init__(self):
self.colors = ["w", "b", "o", "g", "y", "r"]
def left(self):
self.colors = [self.colors[1], self.colors[5], self.colors[2], self.colors[3], self.colors[0], self.colors[4]]
def right(self):
self.colors = [self.colors[4], self.colors[0], self.colors[2], self.colors[3], self.colors[5], self.colors[1]]
def up(self):
self.colors = [self.colors[3], self.colors[1], self.colors[0], self.colors[5], self.colors[4], self.colors[2]]
def down(self):
self.colors = [self.colors[2], self.colors[1], self.colors[5], self.colors[0], self.colors[4], self.colors[3]]
class RooRunner:
def __init__(self):
self.cube = RooCube()
def rotate(self):
direction = input("What direction would you like to rotate (left, right, up, down)? ")
if direction == "left":
self.cube.left()
elif direction == "right":
self.cube.right()
elif direction == "up":
self.cube
This would give us the required result.
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HELP!
Additive volume of rectangular prisms TRUE/FALSE?
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
6 2/3 x 2 1/4Just confused
start my multipliying the outside number to the numerator
\((\frac{12}{3})\cdot(\frac{2}{4})\)simplify the fractions
\((4)\cdot(\frac{1}{2})\)apply the multiplication like this
\(\frac{a}{b}\cdot\frac{c}{d}=\frac{cd}{bd}\)\((4)\cdot(\frac{1}{2})=\frac{4}{2}\)SImplify
\((4)\cdot(\frac{1}{2})=\frac{4}{2}=2\)What is the solution for the following system of equations?
y=-3x+8 and x=2 Solution:y =______
Choose the correct description for this system:
This system is _____________________________(independent or dependent) and
__________________________ (consistent or inconsistent). This system has solutions_____________
(no solutions, infinite solutions or one solution).
Answer:
y=2
Step-by-step explanation:
Multiply -3(2) which gives -6, -6+8=2
Thus, y=2
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 3.8 x 10 words. Samuel can type 3.8 x 10 words in hours and minutes.
Rate = 40 words per mins
Need to type =
\(3.8\times10^5\)words.
10^5 means take the decimal 5 digits to the right, so that means:
380000 words
Now, we divide total words by wpm rate and get the answer (time in minutes).
Hence,
380000/40 = 9500 minutes
Since 1 hr = 60 min, we divide by 60 to get hours:
9500/60 = 158.33 hours
Now, the fractional part 0.33 means 1/3.
So, that's 1/3rd of an hour.
1/3 * 60 = 20 minutes
Final Answer = 158 hours and 20 minutes
The image of B translated using (x + 2, y + 3) would have what coordinates?
Answer:
(5, 4)
Step-by-step explanation:
(x + 2, y + 3)
Substitute x and y for that of B's position.(3 + 2, 1 + 3)
(5, 4)
Answer:
B' (5, 4 )
Step-by-step explanation:
the translation rule (x, y ) → (x + 2, y + 3 )
means add 2 to the original x- coordinate and add 3 to the original y- coordinate , then
B (3, 1 ) → B' (3 + 2, 1 + 3 ) → B' (5, 4 )
Lee la siguiente situación y completa:
Para lanzar una nueva revista en una ciudad se va a preguntar a sus habitantes acerca de sus temas de interés. Para ello, se realiza una encuesta telefónica en forma aleatoria a 40.000 personas.
De acuerdo con la información podemos inferir que la población se refiere a los habitantes de la ciudad y la muestra es 40,000 personas.
¿Cómo identificar la información faltante?Para identificar la información faltante debemos tener en cuenta la información del enunciado. En este caso nos dicen que quieren implementar una revista en una ciudad determinada y para identificar los temas de la revista debemos hacer una encuesta.
En este caso, la entrevista se realiza a 40,000 personas por lo que esta sería la muestra debido a que no podríamos realizar la encuesta a cada una de las personas que es habitante de la ciudad.
Nota: Esta pregunta está incompleta. Aquí está la información completa:
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please assist with these questions thanks
1a. The percentage total return is -19.56%
1b. The dividend yield is 2.42%.
1c. The capital gains yield is -21.98%.
2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.
2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.
3a. The real return on long-term government bonds is 3.195%
3b. The real return on long-term corporate bonds is 3.291%
How to calculate the percentage total return?In Financial accounting, the percentage total return (P) can be calculated by using this formula;
P = [(Ending price - Initial price) + Dividend] ÷ Initial price
P = [(71 - 91) + 2.20] ÷ 91
P = -0.1956 or -19.56%
1b. For the dividend yield, we have:
Dividend yield = Dividend ÷ Initial price
Dividend yield = 2.20 ÷ 91
Dividend yield = 0.0242 or 2.42%
1c. For capital gains yield, we have:
Capital gains yield = (Ending price - Initial price) ÷ Initial price
Capital gains yield = (71 - 91) ÷ 91
Capital gains yield = -0.2198 or -21.98%.
Part 2.
a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.
b. For arithmetic average annual return in real terms, we have:
(1 + 0.145) = (1 + r)(1 + 0.044)
r = (1.145/1.044) - 1
r = 9.67%
Part 3.
a. For real return on the long-term government bonds, we would apply Fisher equation:
(1 + i) = (1 + r)(1 + h)
Where:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(1 + 0.066) = (1 + r)(1 + 0.033)
1 + r = 1.066/1.033
r = 3.195%
b. For real return on long-term corporate bonds:
(1 + 0.067) = (1 + r)(1 + 0.033)
1 + r = 1.067/1.033
r = 3.291%
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When a real zero x = a of a polynomial function fis of even multiplicity, the graph of f ---Select-- the x-axis at x = a, and when it is of odd multiplicity, the
graph of f ---Select-- the x-axis at x = a.
Answer:
touches
crosses
Step-by-step explanation:
\(x=a\) is said to be a zero of a function \(f(x)\) if \(f(a)=0\)
A zero say \(x=a\) has a "multiplicity" equal to \(n\), if the factor \((x-a)^n\) appears in the polynomial.
When a real zero \(x=a\) of a polynomial function \(f\) is of even multiplicity, the graph of \(f\) touches the x-axis at \(x=a\), and when it is of odd multiplicity, the
graph of \(f\) crosses the x-axis at \(x=a\).
The size of a mumps virus is
approximately 0.000 000 19 metres.
What is this value in standard form? Give
your answer in metres (m).
Answer:
\(1.9 \times {10}^{7} meters\)
is the right answer
Jessica made 2 pounds of fudge. How many 1/6 -pound servings are in the 2 pounds of fudge?
A. 12
B. 20
C. 8
D. 16
PLEASE I WANT HELPP :(
Answer:
12
Step-by-step explanation:
6 1/6 makes 1 pound
Find an equation for the nth term of the arithmetic sequence.
-13, -8, -3, 2, ...
Answer:
An = 5n-18
Step-by-step explanation:
hello :
note : the n th term of an arithmetic sequence is :
An =A1+(n-1)d ....a common difference is : d and A1 the first term
in this exercice : d = 2-(-3)=-3-(-8) =5 A1 = -13
the n th term of an arithmetic sequence is :An =-13+(n-1)(5)
An = 5n -5 -13
An = 5n-18
What is the value of x?
X =
9514 1404 393
Answer:
x = 6
Step-by-step explanation:
The Pythagorean theorem tells you the relationship between the sides of this right triangle is ...
x² +8² = 10²
x² = 100 -64 = 36 . . . . subtract 8²
x = √36 . . . . . . . . . . take the square root
x = 6
Use synthetic division to find the result when x^4-10x^2 - 13x-50 is divided by X+ 5.
Answer: it’s x^3-5x^2+15x-88+390/x+5!
Step-by-step explanation:
Add the polynomials as indicated. (x² +9x-7) + (-4x²-3x+1)+(x²-x-3)
Answer:−
2
x
2
+
5
x
−
9
Step-by-step explanation:
Answer:
Answer = -2x^2 + 5x - 9
Step-by-step explanation:
First add the x^2 terms :
> x^2 - 4x^2 + x^2
> - 3x^2 + x^2
> -2x^2
Then add the x terms :
> 9x - 3x - x
> 6x - x
> 5x
Then lastly add the last terms :
> -7 + 1 - 3
> -6 -3
> -9
= -2x^2 + 5x -9
y> x+1
y> 3-x
HELP ME WHAT IS THIS MY TEACHER DIDNT TEACH THIS AND IT IS ON MY FINAL EXAM
Answer:
Slope and y intercept
Step-by-step explanation:
You want to put it in slope intercept form (y=mx+b), the first one is already in it and for the second one you just need to move the x, that makes it y>-x+3.
For 1st one: Slope is 1/1 and y intercept is 1
For 2nd one: slope is -1/1 and y intercept is 3
Refer to the accompanying table, which describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Find the mean and standard deviation for the number of girls in 8 births.
The mean formula is
\(\mu=\Sigma x\cdot P(x)\)So, we have to multiply each number with each probability and then add them
\(\begin{gathered} \mu=\Sigma x\cdot P(x) \\ \mu=0\cdot0.002+1\cdot0.034+2\cdot0.115+3\cdot0.212+4\cdot0.260+5\cdot0.225+6\cdot0.115+7\cdot0.031+8\cdot0.006 \\ \mu=4.02 \end{gathered}\)Then, we find the standard deviation-
\(\begin{gathered} \sigma=\sqrt[]{\Sigma(x-\mu)^2P(x)}= \\ \sigma=\sqrt[]{(0-4.02)^2\times0.002+(1-4.02)^2\times0.034+(2-4.02)^2\times0.115+(3-40.2)^2\times0.212+(4-40.2)^2\times0.260+(5-4.02)^2\times0.225+(6-4.02)^2\times0.115+(7-4.02)^2\times0.031+(8-4.2)^2\times0.006} \\ \sigma=\sqrt[]{635.93} \\ \sigma\approx25.2 \end{gathered}\)Hence, the mean is 4.02 and the standard deviation is 25.2