An asymptote is a line that a curve approaches but never touches, so it is not part of the curve itself. As a result, an asymptote is not a function. However, the curve that approaches an asymptote may or may not be a continuous function.
A function is continuous if it is defined for all values in its domain and there are no breaks or jumps in the graph of the function.
For example, consider the function f(x) = 1/x. This function has a horizontal asymptote at y = 0, but it is not continuous at x = 0 because the value of the function is undefined at this point (division by zero is not allowed).
On the other hand, consider the function f(x) = ². This function has no asymptotes and is continuous for all values of x.
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Ashley's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 62 liters. What are the possible Ashley could add water? Use t for the number of minutes. Write your answer as an inequality solved for t.
Answer:
57 liters
Step-by-step explanation:
Answer
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Yoko's fish tank has 17 liters of water in it. She plans to add 5 liters per minute until the tank has at least 57 liters. What are the possible numbers of minutes Yoko could add water?
Answer:
Minutes = 8 minutes
Step-by-step explanation:
Topic: Inequality
Given:
Available Size of water = 17 liters
Increment = 5 liters/minute
Size of water needed = At least 57 liters
Putting the above together, as have
17 + 5m > 57
where m represents total minutes and > represent at least
Solving the Inequality
5m > 57 - 17
5m > 40 ------ Divide through by 5
5m/5 > 40/5
m > 8
So, Yoko will need to add water for at least 8 minutes before she fills her tank to 57 liters.
sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account
Answer:
With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.
Step-by-step explanation:
please help (algebra)
Answer:
4. Corresponding angles
5. alternative interior angles
6. Same-side interior angles
7. Supplementry
Step-by-step explanation:
I can't see the numbers so I can't solve for x. Sorry.
priya says that 1/3 x 1/3 x 1/3 x 1/3 = 4/3. do you agree with priya? explain or show your reasoning
A right rectangular prism has a side height of 4 cm and a volume of 48 cm cubed.
What is the area of the base of the prism?
A. 15 2
B. 12 2
C. 11 2
D. Not listed
Answer:
15cm^2
Step-by-step explanation:
it is basic math to me.
Allie identifies the coordinates of point D as (3, 7). Explain her error and explain how to correctly identify the ordered pair.
Answer:
[tex]D = (7,3)[/tex]
Step-by-step explanation:
Given
[tex]D = (3,7)[/tex]
See attachment for graph
Required
Identify and correct the error
From the attached graph, the coordinate of D is at:
[tex]x = 7[/tex]
[tex]y = 3[/tex]
So:
Allie's mistake is that, she identifies x as y coordinate and y as the x coordinate.
So, the right coordinate is:
[tex]D = (7,3)[/tex]
You have $25 in your bank account. You start saving $9 each week. Your friend has
$10 in his account and is saving $12 each week. Which system of equations could be
used to model the total amount in the bank account, t as a function of weeks, w.
A)t=9w+25. T=12w+10
B)t+w=25. 10t+9w=12
C)t=9w+12w. T=10w+12
D)t=9w+12w. T+w=25
Answer:
A)t=9w+25. T=12w+10
Step-by-step explanation:
Equation for you:
t = 25 + 9w
Equation for friend:
t = 10 + 12w
Kayden was offered a job that paid a salary of $39, 500 in its first year. The salary
was set to increase by 2% per year every year. If Kayden worked at the job for 9 years,
what was the total amount of money earned over the 9 years, to the nearest whole
number?
Answer:
FV= $385,307.82
Step-by-step explanation:
Giving the following formula:
Annual salary (A)= $39,500
Growth rate (g)= 2% annual
Number of years (n)= 9 years
To calculate the total amount earned over 9 years, we need to use the following formula:
FV= {A*[(1+g)^n-1]}/g
A= annual deposit
FV= {39,500*[(1.02^9) - 1]} / 0.02
FV= $385,307.82
if comlementary angles are adjacent they form a :
i will give 34 points
fast fast
Answer:
they would make a staright line or straight angle, which would be 180 degrees.
Brainliest?
Step-by-step explanation:
similfy (6^(7))^(3) Thank you!
Answer:
6^21
Step-by-step explanation:
(6^7)^3 = 6^(7*3) = 6^21
4.What is the equation in point-slope form of the line passing through (3, 6) and (−2, 1)? (5 points)
a
y + 6 = 1(x + 3)
b
y + 1 = −1(x + 2)
c
y − 6 = −1(x + 3)
d
y − 6 = 1(x − 3)
Answer:
d
Step-by-step explanation:
im doing fast calculation
HELP HELP HELP ILL MARL BRAINLIEST TO WHOEVER
Answer:
x- 2
Step-by-step explanation:
A restaurant charged you $50 for the meal. You pay an 8% sales tax on the meal. How much was the tax?
A. $40.00
B. $4.00
C. $0.40
D $54.00
Answer:
The answer is B.4.00
the last parttttttttt
Answer:
Step-by-step explanation:
35x2^10
Answer:
35,840
Step-by-step explanation:
(7 · 2^5) · (5 · 2^5) = (7 · 32) · (5 · 32) = 224 · 160 = 35,840
When asked to rewrite the expression (x3 + 2x? – x)-(-x3 + 2x2 + 6), Denise made a mistake. She did not get the correct answer, 2x3 -x-6. Identify where she
made her made her mistake.
Your answer
She started with the original problem: (x3 + 2x2 - x)-(-x3 + 2x2 + 6)
o She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
She rearranged the terms to put the like terms together: x3+ x3 + 2x2 – 2x2-x+6
She combined like terms to get a simplified answer: 2x3 - x + 6
Answer:
She rewrote the problem without parentheses: x3+ 2x2 - x + x3 – 2x2 +6
Step-by-step explanation:
It looks like she didn't fully distribute the -
(x3 + 2x2 - x)-(-x3 + 2x2 + 6) :Original
x3+ 2x2 - x + x3 – 2x2 +6 :Changed
~
(x3 + 2x2 - x)-(-x3 + 2x2 + 6)
x3 + 2x2 - x + x3 - 2x2 - 6
x3 + x3 + 2x2 - 2x2 -x - 6
2x3-x-6
I hope this helps ^-^
Someone plz help me giving brainliest T^T plz select (2)
Answer:
F.
Step-by-step explanation:
there are 36 tiles overall from where 4 are purple so
[tex]\frac{4}{36} =\frac{1}{9} =\frac{1}{3} *\frac{1}{3}[/tex]
Dina added five-sixths of a bag of soil to her garden. Her neighbor Natasha added eleven-eighths bags of soil to her
garden. How much more soil did Natasha add than Dina?
Answer:
Natasha added 13/24ths more than Dina.
Step-by-step explanation:
By getting common denominators you have 66/48-40/48 then you get 26/48 and you just simplify this by 2 to get 13/24ths.
Love you, hope this helps.
PLS HELP. INSANELY URGENT. QUESTION IN PICTURE
Answer:
Difference of 15,180,495 feet³
Step-by-step explanation:
Red pyramid volume: 59300000 feet³
Pyramid of Khafre volume: 74400000 feet³
Subtract to get difference
74400000-59300000= 15100000
Nearest in answer choice is 15,180,495 so therefore it is the third choice.
EASY!!!
9 × 3 × (−2) + (−36) ÷ 12 − 1
HELP ILL GIVE U THE BRAINLIEST
Answer:
(0, 3 )
Step-by-step explanation:
To find the y- intercept , substitute x = 0 into f(x), that is
f(0) = 3 × [tex]4^{0}[/tex] [ note [tex]4^{0}[/tex] = 1 ]
= 3 × 1
= 3
y- intercept = (0, 3 )
Find the sum or type
“impossible"
Help Resources
[1 -2 1] + [4 -5 -6]
Skip
[[?]
Enter
Answer:
-7
Step-by-step explanation:
looked on photomath
WXYZ is a parallelogram, find the following values.
Answer:
b=7
Z=65
Step-by-step explanation:
18b-11+9b+2=180
27b-9=180
27b=180+9
b=189/27
b=7
____________
Angle Z=9×7+2
=63+2
Z=65
hope it helps you...
have a great day!!!
Answer:
b = 7
z = 65
this is correct answer of this question hope it helps and your day will be full of happiness ^_^
Emma eats 5 bags of chips a week. How many bags of chips does she eat (on average) a day? A month? A year?
Answer:
5/7 ; 21 ; 260
Step-by-step explanation:
Given that:
Number of bag of chip eaten in a week = 5
Therefore, on average
Number of bags eaten per day will be :
Number of days per week = 7
Number of bags eaten per day= 5 /7 = 0.714 bags
Number of bags eaten per month :
Number of days in a month = 30
Number eaten or month = 5/7 * 30 = 21.42 bags = about 21 bags
Number of bags eaten per year :
Number of days in a year = 365 days
= 5/7 * 365
= 260.71
= about 260 bags per year.
2
A swimming pool is in the shape of a rectangular prism with a horizontal cross-section 10 feet by 20 feet. The pool is 5 feet deep and filled to
capacity. Water has a density of approximately 60 pounds per cubic foot, or 8 pounds per gallon.
What is the approximate weight of water in the pool?
Answer:
The weight of the water in the pool is approximately 60,000 lb·f
Step-by-step explanation:
The details of the swimming pool are;
The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet
The depth of the pool = 5 feet
The density of the water in the pool = 60 pounds per cubic foot
From the question, we have;
The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g
The volume of water in the pool = Cross-sectional area × Depth
∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³
Acceleration due to gravity, g ≈ 32.09 ft./s²
∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N
266,196.089 N ≈ 60,000 lb·f
The weight of the water in the pool ≈ 60,000 lb·f
A group pre-orders 12 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket costs $32, so the debt for one ticket is - $32. The tour
company adds a $20 fee for the entire order. Including the fee, which number represents the total debt?
- $624
- $384
-$364
-$404
Plzz help will give Brainiest. Need it now plzz
Step-by-step explanation:
The solution in the photo above, I know it is not very clear sorry for that :)
I hope that is useful for you :)
Find the measure of angle STP.
Pleasee help!!
Answer:
105
Step-by-step explanation:
15x=7x+6+7x+1
15x=14x+7
x=7
15(7)=105
Write a quadratic function f whose zeros are 2 and 10.
f(x) =
CAN SOMEONE PLS HELP WITH THESE WORD PROBLEMS PLSSS IVE BEEN STUCK HELP HELP HELP
Answer:
3. 76 Balls and 27 Bats
4. you try this
5. you try this
Step-by-step explanation:
Each problem follows the same approach to solve.
Setup 2 equations, one showing the total number and the other showing the total costs.
I'll work out problem 3 and you should be able to do the other two
L=the number of balls
T=the number of bats
equation 1:
L+T=100
equation 2:
L(4.50) + T(20.00) = 822
solve for T in equation 1:
T= 100-L
now substitute T in equation 2:
L(4.5) + 20(100-L) = 822.0
solve for L:
L= -1178/-15.5=76
T=100-76=24
I'll let you know if problems 4 and 5 are correct
Michelle sells umbrellas. 2 9 of her umbrellas are blue, the rest are red. 5 11 of the red umbrellas have plastic covers. What fraction of the Michelle's red umbrellas that do not have plastic covers?
Answer: 14/33
Step-by-step explanation:
Since 2/9 of the umbrella are blue, the fraction for red umbrellas will be:
= 1 - 2/9
= 7/9
Since 5/11 of the red umbrellas have plastic covers. The fraction for those without plastic covers will be:
= 1 - 5/11
= 6/11
Therefore, the fraction of Michelle's red umbrellas that do not have plastic covers will be:
= 6/11 × 7/9
= 42/99
= 14/33