1.5
Step-by-step explanation:
As a decimal you should be able to convert it
[tex] \frac{ \frac{1}{ x} - \frac{1}{12} }{x - 12} [/tex]
how do i solve when looking for the limit as x approches 12?
Answer:
[tex]\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12} =\frac{-1}{144}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\lim_{x \to 12} \frac{\frac{1}{x}-\frac{1}{12} }{x-12}[/tex]
Step 2: Solve
Numerator; Common denominator: [tex]\lim_{x \to 12} \frac{\frac{12}{12x}-\frac{x}{12x} }{x-12}[/tex]Numerator; Combine like terms: [tex]\lim_{x \to 12} \frac{\frac{12-x}{12x} }{x-12}[/tex]Rewrite entire fraction: [tex]\lim_{x \to 12} \frac{12-x}{12x} \div x-12[/tex]Rewrite operation: [tex]\lim_{x \to 12} \frac{12-x}{12x} \cdot \frac{1}{x-12}[/tex]Multiply: [tex]\lim_{x \to 12} \frac{12-x}{12x(x-12)}[/tex]Factor numerator: [tex]\lim_{x \to 12} \frac{-(x - 12)}{12x(x-12)}[/tex]Simplify: [tex]\lim_{x \to 12} \frac{-1}{12x}[/tex]Evaluate limit: [tex]\frac{-1}{12(12)} =\frac{-1}{144}[/tex]Tickets to a dance recital cost $27 each. The auditorium for the recital has 902 seats. If the show sells out, how much money is brought in from the ticket sales?
Answer:
24354
Step-by-step explanation:
A major airline knows that about 2 percent of passengers do not manage to show up for their flight. Consider a small aircraft having 50 seats, and suppose that an airline sells precisely 50 tickets for a specific flight. Assuming that all passsengers are independent and have the same probability of not showing up, compute the probability that
Answer:
a. The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
Step-by-step explanation:
From the given information:
We are to compute the probability that:
a. The aircraft is fully occupied( i.e. all the passengers show up)
b. Between 1 and 5 (including 1 and 5) passengers do not show up
Given that:
Percentage of passengers that do not show up = 2% = 0.02
And the population of the passengers = 50; since 50 tickets are being sold for a specific flight.
Let assume X be the random variable that follows a binomial distribution, thus, the number of passengers from the aircraft with 50 passengers can be represented as:
[tex]X \sim Bin (n = 50, p =0.02)[/tex]
Thus;
The probability that the aircraft is fully occupied i.e. all the passengers show up is:
[tex]= (1 - 0.02)^{50}[/tex]
= 0.98⁵⁰
= 0.3642
Hence, The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is:
= P(X = 1) + P(X =2) + P(X = 3) + P(X = 4) + P(X = 5)
= [tex]=(^{50}_1) 0.02(1-0.02)^{50-1} +(^{50}_2) 0.02(1-0.02)^{50-2} + (^{50}_3) 0.02(1-0.02)^{50-3} + ... + (^{50}_5) 0.02(1-0.02)^{50-5}[/tex]
[tex]=(^{50}_1) 0.02(0.98)^{49} +(^{50}_2) 0.02(0.98)^{48} + (^{50}_3) 0.02(0.98)^{47} + ... + (^{50}_5) 0.02(0.98)^{45}[/tex]
= 0.6354
Hence, The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
PLEASE HELP! BEST ANSWER MARKED AS BRAINLIEST!!!!!!!!!!!!!!!!!!!
What is the least common multiple of 4, 12, and 15?
Answer:
60
Step-by-step explanation:
4*15=60=12*5
Richard only has $50 to spend for some new video games. The sign in the store window says “5 games for $68,” and all games cost the same amount. Can Richard buy 4 games at this rate?
Answer:
No he will pass his 50$ budget
Step-by-step explanation: 68 divided by 5 is 13.6
13.6 multiplied by 4 is 54.4
Зу + 5 < 10
Solve the inequality
Answer:
y<5/3
Step-by-step explanation:
3y+5<10
subtract 5 on both sides
3y<5
divide both sides with 3
y<5/3
Answer:
Step-by-step explanation:
You take the plus 5 and subtract it from 10
So then you have 3y<5
So then you divide both sides by 3
So you get y<5/3
A rocket is fired vertically into the air at 40 m/s. The expression
--5+2 + 40t + 20 gives the rocket's height after t seconds. Factor this
expression.
Answer:
-5(t² - 8t - 4)
Step-by-step explanation:
Step 1: Define
-5t² + 40t + 20
Step 2: Simplify
Factor - GCF: -5(t² - 8t - 4)Here, we cannot factor the quadratic and to solve for the roots we will need to use the Quadratic Formula.
Select all tables that represent a proportional relationship between x and y.
x 2 6 7 10
y 8 24 28 40
x 0 5 10 15
y 10 15 20 25
x –2 0 3 5
y –6 0 9 15
x 0 1 2 3
y 4 5 6 7
x –8 –6 –4 –2
y –9 –7 –5 –3
The answer is B, D , and E
Step-by-step explanation:
You have to look for the same pattern on both rows, wether they come out even or odd.
what is the difference of the fractions? Use the number line and equivalent fractions to help find the answer. -2 1/2 - ( -1 3/4)
A: -4 1/4
B: -4
C: -3/4
D: -1/2
ANSWER ASAP PLEASE
80 total students 6/2 are girls how many are girls
Answer:
60
Step-by-step explanation:
I need help with this question
Answer:
answer: C, 24 photos per day
Step-by-step explanation:
Answer:
it's either the first one or the third one.
I'm so sorry if they are both wrong.
-6(5r - 6) + 4(6 + 4r)
Answer: -14r + 60
your welcome.
PLEASE HELP!!!!! WORTH 60 POINTS!!!
Answer:
graph a straight line through coordinates (0, 5) and (1, 3) then shade above that line
Step-by-step explanation:
(0, 5) is the y-intercept 5 and then from that point you go down 2 units and right 1 unit which would leave you at coordinate (1, 3) then you shade above that line since y is more than that line (-2x + 5)
Answer:
See in picture provided
please help me with this i don’t know
Jacob runs total 12 miles run
Answer:
The answer is the first option .
Jacob ran a total of 12 7/10 miles which is equivalent to 12.7 miles
please help me fill in both boxes
Answer:
1st box: -1/2
2nd box: 2/1 or just 2
Step-by-step explanation:
1st box: parallel slopes have the EXACT same slope as the original
2nd box: perpendicular slopes are the negative reciprocal of the original
what is the slope of this graph Algebra 1b
Use what you know about reflections of functions to match the graph to the function rule.
y = 3x
a
b
c
y = 3−x
a
b
c
y = −3x
a
b
c
On a coordinate plane, 3 exponential functions are on the graph. A goes through (negative 1, 3) and (0, 1) and approaches the x-axis in quadrant 1. B goes through (1, 1) and (1, 3) and approaches the x-axis in quadrant 2. C goes through (0, negative 1) and (1, negative 3) and approaches the x-axis in quadrant 3.
pick a,b or c for each answer choice.
need it by tomorrow
Answer:
B A C
Step-by-step explanation:
this website is the only reason im graduating LOL. love yall
The exponential functions are plotted on the graph and solved
1) y = 3ˣ = b)
2) y = 3⁻ˣ = a)
3) y = -3ˣ = c)
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
a)
y = 3ˣ
Now , the exponential function is plotted on the graph and is represented by the line b
b)
y = 3⁻ˣ
Now , the exponential function is plotted on the graph and is represented by the line a
c)
y = -3ˣ
Now , the exponential function is plotted on the graph and is represented by the line c
Hence , the exponential equations are solved
To learn more about exponents click :
https://brainly.com/question/28966438
#SPJ3
The complete question is attached below :
Use what you know about reflections of functions to match the graph to the function rule.
1) y = 3ˣ
2) y = 3⁻ˣ
3) y = -3ˣ
Find the midpoint of the segment with the following endpoints (-3,-3) (1,2)
SOMEONE HELP ME LOL
Answer:
y=3x+1
Step-by-step explanation:
Sam will take four science tests this quarter. Her scores on three of the tests are shown below
Test 1: 83%
Test 2: 91%
Test 3: 88%
Test 4: ?
What does Sam need to score on the fourth test to ensure that she will have an average of 90% for all four tests
Find the surface area and volume. show your work.
9514 1404 393
Answer:
area = 211 +7√205 ≈ 311.22 square unitsvolume = 273 cubic unitsStep-by-step explanation:
Surface area
The length of the hypotenuse of the front facing triangle is given by the Pythagorean theorem:
d^2 = 13^2 +6^2 = 169 +36 = 205
d = √205
So, the perimeter of that triangle is ...
P = 13 +6 +√205 = 19 +√205
The total area of the rectangular faces of this triangular prism is then ...
rectangular face area = (base perimeter)·(prism height)
= (19 +√205)(7) = 133 +7√205
The area of the two triangular faces will be ...
triangular face total area = 2·(triangle area) = 2(1/2)(6)(13) = 78
Then the total surface area is ...
total surface area = rectangular face area + triangular face total area
total surface area = (133 +7√205) +78
surface area = 211 +7√205 ≈ 311.22 . . . . square units
__
Volume
The volume is the product of the area of the triangular base and the height of the prism.
V = Bh
V = (39)(7)
volume = 273 . . . . cubic units
12.5, 25, 37.5, 50 (What is the pattern?)
Answer:
adding 12.5
Step-by-step explanation:
12.5 --> 25 through +12.5
25 --> 37.5 through +12.5
37.5+12.5 = 50 = 50
Answer:
You are adding 12.5 every time.
Step-by-step explanation:
12.5+12.5=25
25+12.5= 37.5
37.5+12.5=50
Hope this helps!
Jerry started doing sit-ups every day. The first day he did 16 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 32 sit-ups. Enter an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day.
The equation
doing sit-ups.
can help find the number of days Jerry has been
Answer:
16+(4*x)=32
Step-by-step explanation:
x is equal to the number of days he did sit ups. You can solve this by solving for x.
The Education Foundation hosted an annual fundraising dinner. There were 24 dinner tables with 8 chairs at each table. Each dinner ticket cost $12.50. If of the dinner tables were full, how much money was raised from the dinner ticket sales?
$225
⊝
$1,800
⊝
$2,400
⊝
$3,200
Answer:
2,400
Step-by-step explanation:
24 times 8 equals 192, 192 times 12.50 equals 2,400. If this does not help, sorry.
The amount raised is $2400.
Option C is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
There were 24 tables with 8 chairs at each table.
Total chairs.
= 24 x 8
= 192 chairs
Each dinner ticket cost $12.50.
And all the dinner tables were full.
So,
Total amount raised.
= 96 x 12.50
= 2400
Therefore,
The amount raised is $2400.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
What is the probability that six consecutive integers will be chosen as the winning numbers in a lottery where each number chosen is an integer between 1 and 40 (inclusive)?
Answer:
0.00000911843
Step-by-step explanation:
Since the number chosen is an integer between 1 and 40 (inclusive), it means that the number of terms is 40.
Thus; n = 40
Probability that 6 integers (r = 6) which is number of possible outcomes will be gotten without repetition is gotten by the combination formula which is;
C(n, r) = n!/(r!(n - r)!)
C(40, 6) = 40!/(6!(40 - 6)!)
C(40,6) = 3838380
Now, to select 6 consecutive integers, it can be done in different combinations such as;
(1 - 6, 2 - 7, 8 - 13,...e.t.c)
Total number of favorable outcomes will be 35.
Now,probability that six consecutive integers will be chosen as the winning numbers is;
P(that six consecutive integers will be chosen as the winning numbers) = number of favorable outcomes/number of possible outcomes = 35/3838380 = 0.00000911843
What's 20% of 30% of 10% of 500?
Answer:
the answer is 3
Step-by-step explanation:
20% of 30% of 10% of 500 is 3
Step-by-step explanation:
please help 100 points!!!!!!!!!!!!!!!!!!1
Answer:
2.5
Step-by-step explanation:
Answer:
2 1/2cm is the answer for w
Step-by-step explanation:
the reason for this is because the total area for the triangle is 17 cm
and from whats shown on the rectangle it has only 12 so far so that means the w equals 2 1/2 because 12 + 2 1/2 + 2 1/2 = 17 so therefor the answer is 2 1/2cm
hope this helps :)
- by chance may I get brainliest
Please help I need 6 answers
can you please explain the question a bit
What is 3 over 3 over 8?
Answer:
1/8
Step-by-step explanation:
6x-(2x-1) =9x+2(2-x) what does x equal?
Answer:
x = -5/3
Step-by-step explanation:
6x-(2x-1) =9x+2(2-x)
6x - 2x - 1 = 9x + 4 - 2x
4x - 1 = 7x + 4
collect like terms
4x - 7x = 4 + 1
-3x = 5
x = -5/3
Answer:
x= -1
Step-by-step explanation:
Trust