evaluate the limit, or state that the limit does not exist. 9n - 3n / 2n
a.9
b. 3
c. limit does not exist
d. 0
Answers
Answer:
3
Step-by-step explanation:
Evaluating the limit of the function 9n - 3n / 2n.
First we factor out n from the numerator of the function to have
F(n) = n(9-3)/2n
Cancelling the variable n at the numerator with the one at the denominator we have:
Iim f(n) = 9-3/2
Iim f(n) = 6/2
Lim f(n) = 3
This shows that the limit of the function given is 3 no matter what the variable x is tending to.
Answer: Option b) 3
Step-by-step explanation:
We want to take the limit of the equation: (9n - 3n)/2n
Let's do it:
[tex]\lim_{n \to \infty} \frac{9n - 3n}{2n} = \lim_{n \to \infty} \frac{n(9-3)}{2n} = \lim_{n \to \infty} \frac{6}{2} = 3[/tex]
Really does not matter where we are looking for the limit, because this is a constant equation, so we have that the correct option is b) 3
Related Questions
Jay won 14 out of the last 20 video games he played. Find the probability of Jay winning the next video game he plays.
Answers
Answer:
0.7 or 70 percent
Step-by-step explanation:
Jay's probability of winning the next game, based on his past record, would be 70%. However, probability doesn't guarantee future outcomes as the future performance depends on various factors.
Explanation:The question requires us to find out the probability of Jay winning the next video game he plays, given his past record. Jay has won 14 out of the last 20 games, which gives us a winning probability of 14/20 = 0.7 or 70%. Probability assumes the conditions remain the same, it doesn't guarantee that the next outcome will be a win.
However, notice that past performance doesn't necessarily indicate future results, especially in random situations such as a game. The future outcome depends on the conditions of the next game he plays and his performance in it. The past winning record of 70% can be taken as an indication of Jay's skills or chances under similar conditions, but not a certainty for future games.
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I need an answer asap please
Answers
2x - 2y = 6
3x + 2y = 9
Solve the system of equations.
A) x = 0, y = 3
B) x = 3, y = 0
C) x = 1, y = -2
D) x = -2, y = 1
Answers
Answer:
B) x = 3, y = 0
Step-by-step explanation:
I will use the subtraction method, at least i think it is the subtraction method lol:
2x - 2y = 6
3x + 2y = 9
1: Combine
5x=15
x=3
2: Substitute
2(3)-2y=6
6-2y=6
-2y=0
y=0
3: Check by pluggin answers in
2(3)-2(0)=6
6-0=6
6=6 true
3(3)+2(0)=9
9+0=9
9=9 true
DISCLAIMER: the answers might not be right, so you should check just in case and i hope this made sense, you can ask questions too.
also... i would be great if i got a brainliest because i need one more to level up but you don't have to bc i bet someone has a better explanation hehe
Because you gotta do something I forgot what it was called
Can someone help me with a and b thank you
Answers
Given:
a) Area = 121 ft²
b) Area = 81 yd²
To find:
The side length of each square
Solution:
a) Area = 121 ft²
Area of the square = s²
⇒ s² = 121
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 121}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 11^2}[/tex]
Square root and squares get canceled.
⇒ s = 11
The length of each side of the square is 11 ft.
b) Area = 81 yd²
Area of the square = s²
⇒ s² = 81
Taking square root on both sides.
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 81}[/tex]
[tex]\Rightarrow \sqrt{s^2} = \sqrt{ 9^2}[/tex]
Square root and squares get canceled.
⇒ s = 9
The length of each side of the square is 9 yd.
Please help !! I would really appreciate it
Answers
Answer:
Runner 1
Step-by-step explanation:
Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10
Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)
Runner 3's speed is slope = (36-18)/(4-2) = 9
The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5
Recatangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2,1), B(3,1),C(3,4), and D(-2,4).What is the area of the rectangle ABCD?
Answers
Answer: 15
Step-by-step explanation:
When you plot the points, it makes a rectangle. The length is 5 units and the height is 3 units. 5 times 3 is 15
Use the original price and the markup to find the retail price. Original price: $64; Markup: 20%
Answers
Answer:
$76.80
Step-by-step explanation:
When a product has a certain markup, you need to multiply the markup by the price of the product, and then add that to the original price of the product. 20%=0.2, and 0.2*64=12.8. Adding this to the original price, you get 64+12.8=$76.80. Hope this helps!
Answer:
$76.8
Step-by-step explanation:
64 x .2 = 12.8
64 + 12.8 = 76.8
Feel free to let me know if you need more help. :)
Select all of the following that are quadratic functions.
x = 3y2 – 6y + 5
y + 3 = –2 x 2+ 5
y = 2 x 2 – 8 x + 6
y= –7 x – 4
y – 3 x = 4 x 3 – x2 + 9
y = 5 x(x + 9) – 8
y – 2 x 2 = 3 x – 2 x 2 + 4
Answers
2. y + 3 = -2x^2 + 5
3. y = 2x^2 - 8x + 6
6. y = 5x (x+9) - 8
Out of the given functions, y + 3 = –2 x 2+ 5, y = 2 x 2 – 8 x + 6, y = 5 x(x + 9) – 8 and y – 2 x 2 = 3 x – 2 x 2 + 4 are quadratic functions. They fit the standard quadratic form a*x^2 + b*x + c = y.
Explanation:A function can be classified as a quadratic function if it can be written in the standard form a*x^2 + b*x + c = y, where a, b, and c are constants and a is not equal to zero. Quadratic functions graph as a parabola.
x = 3y2 – 6y + 5: This is not a quadratic function in y due to its form.y + 3 = –2 x 2+ 5: This is a quadratic function in variable 'x' once rearranged to the standard form.y = 2 x 2 – 8 x + 6: Thus is a quadratic function. It clearly fits the standard form.y= –7 x – 4: This is a linear function in 'x', not quadratic.y – 3 x = 4 x 3 – x2 + 9: This is a cubic function due to the term with x^3, not quadratic.y = 5 x(x + 9) – 8: After expanding the multiplication to get y = 5x^2 + 45x - 8, we can see that it is a quadratic function.y – 2 x 2 = 3 x – 2 x 2 + 4: This is a quadratic function in 'x' once rearranged to the standard form.Learn more about Quadratic Functions here:https://brainly.com/question/35505962
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Is it A, B, C, or D, please answer.
Answers
Answer:
B
Step-by-step explanation:
All of the angles have to add up to 180
Hope this helped
:)
Answer:
the answer is B
Step-by-step explanation:
you have to have all of the angles add up to B, that is part of it.
Which could be the area of one face of the rectangular prism select three options
23 cm2
24 cm2
44 cm2
48 cm2
66 cm2
Answers
Answer:24 cm2, 66 cm2, 44 cm2
Step-by-step explanation:
24 would be 6x4, 66 would be 11x6, and 44 would be 4x11
Answer:
2,3,5
Step-by-step explanation:
Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Answers
Final answer:
The correct simplified form is \(\frac{1}{r^7} + \frac{1}{s^{12}}\), with each term representing the reciprocal of the base raised to a positive exponent and kept as separate terms.
Explanation:
The simplified form of r-7 + s-12 is \(\frac{1}{r^7} + \frac{1}{s^{12}}\). The negative exponents indicate that each term is the reciprocal of the base raised to the positive exponent. So, r-7 becomes \(\frac{1}{r^7}\) and s-12 becomes \(\frac{1}{s^{12}}\). Since these are two separate terms, they are not combined together into a single fraction.
Find x if these are similar:
7 cm, 3 cm, 12 cm, and x cm
Answers
Answer:
i want to say 28
Step-by-step explanation:
this is because 3 times 4 is 12 so i multiplied 7 by 4
Solve the inequality: -5x ≥-20 a. x ≤ 4 b. x ≥ -4 c. x≥ 4 d. x ≤ -4
Answers
Answer:
a. x ≤ 4
Step-by-step explanation:
-5x ≥ -20
Divide by -5
-5x / (-5) ≤ -20 / (-5)
x ≤ 4
What is this one??
-5-(15y-1)=2(7y-16)-y
Answers
Answer:
y=1
Step-by-step explanation:
Let's solve by opening the bracket first
-5-(15y-1)=2(7y-16)-y
Open the bracket
-5-15y+1=14y-32-y
Collect like terms
-5+1+32=14y-y+15y
-5+33=14y+14y
28=28y
Divide both sides by 28
y=1
Therefore the final answer is 1
Which expression is equivalent to 12^4(x-3)(x+5)/30x(x+3)(x+5)
Answers
Answer:
x+5
Step-by-step explanation:
Answer:
[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
Step-by-step explanation:
[tex]$ \frac{12^4(x-3)(x+5) }{30x(x+3)(x+5)} $[/tex]
[tex]$\frac{12^4\left(x-3\right)}{30x\left(x+3\right)}$[/tex]
[tex]$\frac{2^8\cdot \:3^4\left(x-3\right)}{2\cdot \:3\cdot \:5x\left(x+3\right)}$[/tex]
[tex]$\frac{2^7\cdot \:3^3\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
[tex]$\frac{3456\left(x-3\right)}{5x\left(x+3\right)}$[/tex]
Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the
- foreign language they are studying. Charles first gets class lists of all students taking foreign language classes. He then
chooses 10 students from each different language class to survey. Which best explains why the sample he chose may not be
a representative sample?
The sample size is not large enough to represent the population.
The sample was not chosen at random
The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.
The way the sample was chosen does not sample students from each different language class.
Answers
Answer:
The sample was not chosen at random.
Step-by-step explanation:
For it to be a representative sample the selection needs to be completely random.
Answer:
The sample was not chosen random .
Step-by-step explanation:
The interior angle of a regular polygon is 115 degrees. What is the exterior angle?
Answers
Answer:
Step-by-step explanation:
exterior angle=180-115=65°
Find the radius of a sphere with a volume of 26,244π cubic inches.
Answers
Radius of a sphere with a volume of 26,244π inches³ is 27 inches.
Volume of a sphere, V = (4/3)πr³.
Given the volume of 26,244π inches³,
(4/3)πr³ = 26,244π
The radius of sphere (r) =
r³ = (26,244π)/(4/3)π
r³ = 26,244 × (3/4)
r³ = 19,683
r = ∛19,683
r = 27 inches
The radius of the sphere is 27 inches.
The formula for the volume (V) of a sphere with radius (r) is given by:
[tex]\[ V = \frac{4}{3} \pi r^3 \]Given that the volume (\( V \)) of the sphere is \( 26,244\pi \) cubic inches, we can set up the equation:\[ 26,244\pi = \frac{4}{3} \pi r^3 \]To solve for \( r \), we first divide both sides by \( \frac{4}{3} \pi \):\[ r^3 = \frac{26,244\pi \times \frac{3}{4}}{\pi} \]\[ r^3 = 19,683 \][/tex]
Taking the cube root of both sides:
[tex]\[ r = \sqrt[3]{19,683} \]\[ r \approx 27 \][/tex]
Therefore, the radius of the sphere is 27 inches.
thank you!!!!!!!!!!!!
Answers
Answer:
6
Step-by-step explanation:
square root of 36 is 6 ^w^
u = 6
The perimeter of a square is 80 cm. What is the area?
Answers
Answer:
A = 400 cm^2
Step-by-step explanation:
The perimeter of a square is given by
P = 4s where s is the side length
80 = 4s
Divide each side by 4
80/4 = 4s/4
20 =s
We want to find the area of the square
A = s^2
A = 20^2
A = 400 cm^2
Help now plsssssssssssssssssssssssssssssssssssssss
Answers
Answer:
I think its A
Step-by-step explanation:
You have a cylindrical pond that has a diameter of 30 feet and has a depth of 5 feet. If you need to fill the pond one-quarter of the way up with water and water costs $3.25 per cubic foot, how much will you need to spend to fill the pond?
Answers
First, calculate the volume of water needed to fill the pond one-quarter of the way up, then multiply that by the cost per cubic foot to find the total cost, which is approximately $2297.29.
Explanation:The subject of this question is Mathematics, more specifically, it involves the use of geometry and algebra. The question is asking about the cost of filling a cylindrical pond one-quarter of the way up with water, given the dimensions of the pond and the price of water per cubic foot.
To answer this question, we first need to determine the volume of water needed. Since the pond is cylindrical, we use the formula for the volume of a cylinder: V = πr²h, where r is the radius and h is the height. The diameter is given as 30 feet, so the radius is 15 feet (half the diameter), and we're filling to a depth of 1.25 feet (one-quarter of the 5-foot depth). This gives us a volume of approximately 706.86 cubic feet.
We then multiply this volume by the price of water. At $3.25 per cubic foot, that's a total cost of about $2297.29. So, you would need to spend approximately $2297.29 to fill the pond one-quarter of the way up with water.
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What is the value of 4y when y=-3
Answers
Answer:
-12
Step-by-step explanation:
a positive times a negative is a negative
Uisng the appropriate arithmetic operation, the value of 4y when y = - 3 is - 12.
To obtain the value of 4y, we substitute, the value of y into the equation thus :
4y ; y = - 34(-3) = 4 × - 3
4(-3) = - 12
Hence, the value of 4y = - 12
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16)
What is 8.3 x 10-3 in standard form?
0.00083
0.0083
0.083
8.300
Answers
Answer:
0.0083
Step-by-step explanation:
Move the decimal place to the left three times
Answer:
0.0083
Step-by-step explanation:
0.42 with repeating 2, as a fraction.
Answers
what is the length of df to the nearest tenth
Answers
Answer:
bro I don't even remember this sorry wish I could help tho
Answer:
8.1 units
Step-by-step explanation: Here is the question?
What is the length of DF¯¯¯¯¯?
Round the answer to the nearest tenth. The link is the picture for the problem if you need it.
In a thunderstorm, the wind velocity in meters per second can be described by the function v(p) = 5.7 √998 - p, where p is the air pressure in millibars. What is the air pressure of a thunderstorm in which the wind velocity is 49.3 meters per second?
Answers
To find the air pressure of a thunderstorm, the given wind velocity is substituted into the function and the equation is solved for the air pressure in millibars.
Explanation:To find the air pressure of a thunderstorm where the wind velocity is 49.3 meters per second, we need to substitute this given wind velocity into the given function and solve for p.
First, we equate the function v(p) = 5.7 √998 - p with the given wind velocity, so we get 49.3 = 5.7 √998 - pSecond, we isolate the square root term on one side by dividing both sides by 5.7 which gives √998 - p = 49.3/5.7Then we square both sides to get rid of the square root: (998 - p) = (49.3/5.7)² After simplifying the equation, we can solve for p, which is the air pressure in millibars.Learn more about Air pressure calculation here:https://brainly.com/question/13624217
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To calculate the air pressure during a thunderstorm with a wind speed of 49.3 m/s, use the mathematical function provided. Solve for 'p' by setting the function equal to given wind speed, isolating 'p', and calculating thereafter.
Explanation:The student's question pertains to finding an unknown in the function v(p) = 5.7 √998 - p, given that the wind velocity is 49.3 m/s. The expression given is for wind velocity in a storm, based on changing air pressure. To answer this, we need to solve the equation for 'p'.
1. First, we set the equation equal to 49.3: 49.3 = 5.7 √998 - p
2. Then we isolate the square root term by dividing by 5.7: (49.3/5.7) = √998 - p
3. After that, we square both sides to eliminate the square root: (49.3/5.7)^2 = 998 - p
4. We then isolate 'p' by subtracting the result from 998: p = 998 - (49.3/5.7)^2
Doing the calculations will give the approximate value of 'p', which is the air pressure in millibars for a thunderstorm with a wind velocity of 49.3 m/s.
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find the exact value of tan(x+y) if csco= 5/3 and cosy=5/13
Answers
Answer:
-63/16
Step-by-step explanation:
csc x = 5/3
sin x = 3/5
So x is the angle in a 3-4-5 triangle, opposite of the 3.
cos y = 5/13
So y is the angle in a 5-12-13 triangle, opposite of the 12.
tan(x + y) = (tan x + tan y) / (1 − tan x tan y)
tan(x + y) = (3/4 + 12/5) / (1 − (3/4)(12/5))
tan(x + y) = (3/4 + 12/5) / (1 − 9/5)
tan(x + y) = (15 + 48) / (20 − 36)
tan(x + y) = -63/16
Is the number 0.333333 rational or irrational
Answers
Answer:
Rational
please put me as brainliest
Step-by-step explanation:
Here 3 is recurring , so from statement 1) 0.3333 or 1/3 is a rational number. And also 0.3333 is non-terminating as the decimal is not ending or the remainder for 1/3 is not zero
Answer:
Rational
Step-by-step explanation:
0.33333333 terminates (if it's supposed to be 0.[repeating 3] then it's rational because it repeats)
during the last few months, maria has seen deer in her backyard on 13 days and no deer on 52 days. What is the approximate probability that she will see deer in her yard tomorrow?
A) 0.25
B)1/5
C) 33.3 %
D) 2/3
Answers
Answer:
B) 1/5
Step-by-step explanation:
First you would have to find the total number of days.
52 + 13 = 65
The total number of days is 65.
Reread the question. The question is, "What is the approximate probability that she will see deer in her yard tomorrow?"
She has seen deer in her yard for 13 days, so the equation to figure this out would be:
13 divided by 65 = 0.2 or 1/5
I also took the Quiz and got it correct :)
(If you found this helpful and got it correct please thank, give 5 stars, and comment your feedback if you can so others know it's correct as well.)
The probability of seeing a deer in her yard tomorrow is 1/5, the correct option is B.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
Total number of days Maria saw deer is 13 days
Total number of days Maria didn't saw the deer is 52 days
The total number of days is 65
Probability of seeing a deer = Number of days deer was seen / Total
number of days
Probability = 13/65
Probability = 1/5
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