Answer:
83/90
Step-by-step explanation:
you need to multiply the variable by 10. x =
0.9222… 10x = 9.222… 10x – x = 9.222… – 0.9222… 9x = 8.3 x =83/90
The decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
Given that, a decimal 0.92¯¯¯, we need to convert it into fraction,
To convert the decimal 0.92¯¯¯ to a fraction, we can follow these steps:
Let's represent 0.92¯¯¯ as x.
Step 1: Multiply x by 100 to remove the repeating decimal:
100x = 92.92¯¯¯
Step 2: Subtract x from 100x to eliminate the repeating decimal:
100x - x = 92.92¯¯¯ - 0.92¯¯¯
99x = 92
Step 3: Divide both sides of the equation by 99 to solve for x:
x = 92/99
Therefore, the decimal 0.92¯¯¯ is equal to the fraction 92/99.
So, the correct answer is 92/99.
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Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the atmosphere started destroying the ozone, which protects us from ultraviolet rays. Since the 1987 Montreal Protocol (an agreement to curb CFCs), the CFCs in the atmosphere above the US have been reduced from a high of 1915 parts per trillion (ppt) in 2000 to 1640 ppt in 2014.23 The reduction has been approximately linear. Let C(t) be the concentration of CFCs in ppt in year t.
(a) Find C(2000) and C(2014).
(b) Estimate C′(2000) and C′(2014).
(c) Assuming C(t) is linear, find a formula for C(t).
(d) When is C(t) expected to reach 1500 ppt, the level before CFCs were introduced?
(e) If you were told that in the future, C(t) would not be exactly linear, and that C″(t) > 0, would your answer to part (d) be too early or too late?
Answer:
a) C(2000)=1915
C(2014)=1915
b) [tex]C'(2000)=-\frac{275}{14}[/tex]
[tex]C'(2014)=-\frac{275}{14}[/tex]
c) [tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]
d) t=2021
e) too early
Step-by-step explanation:
a)
Since C(t) is the concentration of CFCs in ppt in year t, all we need to do to solve this part is determine what the concentration of CFCs is in years 2000 and 2014. Luckily for us, the problem already gives us those values, so:
C(2000)=1915 concentration in year 2000
C(2014)=1915 concentration in year 2014
b)
By definition, the derivative of a function at a given point is interpreted as the slope of the tangent line to the point of interest, so in order to find this answer, we need to find the slope of the line. Since the problem specifies that the behavior is linear, this means that the slope will always be the same no matter the year, so we get:
[tex]m=C'(t)=\frac{C'(t_{2})-C'(t_{1})}{t_2-t_1}[/tex]
so:
[tex]C'(t)=\frac{1640-1915}{2014-2000}=-\frac{275}{14}\approx -19.64[/tex]
therefore:
[tex]C'(2000)=-\frac{275}{14}[/tex]
[tex]C'(2014)=-\frac{275}{14}[/tex]
c)
Since the behavior is linear, we can calculate it with the point-slope form of the line which is:
[tex]y-y_{1}=m(x-x_{1})[/tex]
in this case:
[tex]C(t)-C(t_1)=C'(t)(t-t_{1})[/tex]
so we get:
[tex]C(t)-1915=-\frac{275}{14}(t-2000)[/tex]
and we can now solve for C(t) so we get:
[tex]C(t)=-\frac{275}{14}t+\frac{275000}{t}+1915[/tex]
for a final answer of:
[tex]C(t)=-\frac{275}{14}t+\frac{288405}{7}[/tex]
d)
So next we solve the equation for C(t)=1500 so we get:
[tex]1500=-\frac{275}{14}t+\frac{288405}{7}[/tex]
[tex]1500-\frac{288405}{7}=-\frac{275}{14}t[/tex]
[tex]-\frac{277905}{7}=-\frac{275}{14}t[/tex]
[tex]t=2021 \frac{7}{55}[/tex]
so we will reach that concentration level at the year 2021 approximately.
e)
Since the second derivative of the concentration function is greater than zero, this means that the original function might be a function in the form: .
This means that the decrease of the concentration levels is slower than that of a linear equation. So the projected date will be too early than the real date.
A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the playlist?
Answer:
Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.
DJ can arrange 88,55 times the first four songs on the playlist.
What is permutation and combination?Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,
Given that,
DJ prepares a playlist of 23 songs.
Since, DJ arranges the first four songs on the playlist,
The ways to arrange the song on the playlist,
= [tex]^{23}C_4[/tex]
= 23 ! / (4! x (23 - 4)! )
= 23 ! / (4! x 19!)
= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1 x 19!)
= 23 x 11 x 7 x 5
= 8855
There are 8,855 ways to arrange first 4 songs.
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TEST
1) ERROR ANALYSIS: Identify and correct the error in describing the transformation of the parent
function.
Sadly the question is incomplete, so we can not see the described transformation of the parent function, thus we can't see the error in that description.
What we can do is describe the transformation shown here.
Here we can see the parent function:
f(x) = x^2
This function opens upwards, so what we see in the graph is this function reflected across the horizontal axis (the x-axis). So the transformation is just a reflection across the x-axis.
(notice that it passes through (-1, -1) and (1, -1), so there is no dilation nor contraction)
For a general function f(x), a reflection across the x-axis is just:
g(x) = -f(x)
So here the transformed function is:
g(x) = - x^2
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PLEASE HELP ME I WILL GIVE BRAINLIEST!!!!!!
a
domain: {0, 2, 4), range: (2,6, 10}
b. domain: {0}, range: {2}
domain: (2, 6, 107, range: {0, 2, 4}
d.
domain: {2}, range: {0}
C.
Answer:
A
Step-by-step explanation:
The variable y is directly proportional to the variable x. If y = 32 when x = 20, what is the value of x when y = 40?
Answer
25
Step-by-step explanation:
20/32 = 0.625
40 x 0.625 = 25
You can check by doing 25/40 and see if you get the same proportion (x/y)
25 is the correct answer 32/20 is 1.6 and 40/25 is also 1.6
giving 70 points please help I only have 20 minutes to get It.......
Answer: 8
Step-by-step explanation:
Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
y = y equals StartFraction one-half EndFraction x.x
y = y equals StartFraction 1 Over 10 EndFraction x plus 60.x + 60
y = y equals StartFraction 1 Over 5 EndFraction x. x
y = y equals StartFraction 1 Over 20 EndFraction x plus 60.x + 60
Answer: y=1/5x
Step-by-step explanation:
Answer:
It is y = y equals 1 Over 5 x Or Y=1/5x.
Step-by-step explanation:
Did it on edge 2020
Proof:
Find the value of x.
Pls explain to me I’m lost
Answer:
idk but i can tell you another site if you still need help,
QUIZLET
Step-by-step explanation:
Answer:
x=17 degrees
Explanation:
Its the same angle as 17 degrees
Read the sentence below and answer the following question: Roy was very careful to cleave the apple into even portions. What does the word cleave mean in the context of this sentence? O Hack: to sever with blows O Chop: to deliver a cutting strike O Divide: to separate into parts O Part: to separate
Joe wants to divide 304 gumballs into boxes of 100. How many boxes of
100 gumballs will he fill completely?
Answer:
3
Step-by-step explanation:
since there are 304 goumballs and a box can only fit one hundred the question says how many boxes will be COMPLETELY full
Answer:
3 boxes
Step-by-step explanation:
304÷100=3.04
6 is added to the square of a number
I assume you want the math statement.
Let n = a number
Let n^2 = the square of a number
Add means to use addition.
Answer: 6 + n^2
A dice is rolled twice.
What is the probability of getting a 2 AND a 5?
Allison and her classmates planted bean seeds at the same time as Yuki and her classmates in Tokyo did. Allison is video-chatting with Yuki about their class seedlings. Who should expect to have the taller plant at the end of the school year?
Answer:
probably yuki
Step-by-step explanation:
real fact
Jake, Utah, renting with a friend
Hourly rate: $8.75/hour
Hours worked: 40/40
Commission rate: 2.75%
Sales amount: $7500
Expenses: everything.
Y
CO20
Answer:
What is the question?
Step-by-step explanation:
I will change my answer if you put a clear question up...
Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why
Answer:
-3x + 2 = y
As the y-intercept is y = 3
And the rise/run = 3/-1
what value for x makes this equation true? 0.6x-5=0.1x+7
A group of students were discussing whether the relationship on the graph
is a function.
Answer:
A function is a relationship that maps the elements of a set, the domain, into elements of another set, the range.
The restriction that we have for functions is: The elements on the domain can be mapped into only one element in the range.
Then if:
f(x1) = y1
and
f(x1) = y2
where y1 is different than y2
f(x) is not a function.
Now, in the graph you can see a region where both lines overlap, then for some values of x we have two possible values of y, this means that the graph does not represent a function.
Then:
Ed: He is incorrect because we can have different values in the domain mapped into the same value in the range (like in the case of a line y = b, where we have all the elements in the domain mapped into the same element in the range, b)
Debra: There is something called piecewise functions, that are functions of this type, formed by different pieces.
Alejandro: He is correct.
Antoine: Not because you can write an equation means that the relation is a function. You can write an equation for a circle, but it will not be a function.
QUICKKKKK Someone plz answer number 2
Answer:
5 times the sun of 2x and 3y equals the difference of y to the second power and 2x cubed
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for
maximum taxable earnings.
a. Social Security tax: $1,459.67, Medicare tax: $341.37
b. Social Security tax: $14,596.66, Medicare tax: $3,413.70
c. Social Security tax: $662.16, Medicare tax: $341.37
d. Social Security tax: $6,621.60, Medicare tax: $3,413.70
Answer:
D Social Security tax: $6,621.60, Medicare tax: $3,413.70
Step-by-step explanation:
Following are the calculation to the Social Security and Medicare tax value:
This Social Security tax is a percent to which both workers and employers must pay [tex]6.2\%[/tex] of employee wages, for a total of [tex]12.4\%[/tex].The state pension, which would be applied to a [tex]\$235,430[/tex] annual wage with a maximum tax liability:[tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]
Its payroll tax for Medicare is [tex]2.9\%[/tex].This only applies to earned income, which includes salaries and tips from an employer. We are liable for [tex]1.45\%[/tex] of a tax, which would be immediately withheld from your paycheck. The other [tex]1.45\%[/tex] is paid by your company. This Medicare tax would be charged to a [tex]\$235,430[/tex] annual salary with a maximum taxable income:[tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]
Therefore, the final answer is "$13,243.20 and $3,097.20".
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Which of these is a set of inputs and outputs for the function f(x) = 2x + 4 ?
Answer:
(1, 6), (2, 8), (3, 10)
2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.
Step-by-step explanation:
The set of inputs for the equation f ( x ) = 2x + 4 is
( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 2x + 4
f ( x ) = y
Now ,
Let the first point be A ( 1 , 6 )
Let the second point be B ( 2 , 8 )
Let the third point be C ( 3 , 10 )
a)
A ( 1 , 6 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
6 = 2 ( 1 ) + 4
6 = 2 + 4
6 = 6
Hence , the input A ( 1 , 6 ) satisfies
b)
B ( 2 , 8 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
8 = 2 ( 2 ) + 4
8 = 4 + 4
8 = 8
Hence , the input B ( 2 , 8 ) satisfies
c)
C ( 3 , 10 )
Substitute the value of x and y in the equation , we get
y = 2x + 4
10 = 2 ( 3 ) + 4
10 = 6 + 4
10 = 10
Hence , the input C ( 3 , 10 ) satisfies
Hence , The set of inputs for the equation f ( x ) = 2x + 4 is
( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )
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Consider the relationship between the words pine and tree Which answer choice contains a pair of words with the same relationship? A. book: title B. hook: instrument C. badger: animal D. head: scarf
Answer:
Maybe it's C.
Step-by-step explanation:
Answer:
ti is A BOOK TITLE
Step-by-step explanation:
You roll two dice. The first dice shows a ONE and the other dice rolls under the table and you cannot see it. Now, what is the probability that both dice show one?
how many faces does the dice have? I'm gonna assume it had six faces.
Answer:
1/6
Step-by-step explanation:
since the dice has one 1 on it and it cannot be seen
23.85 + 7.42 + 16.15
Answer:
47.42
Step-by-step explanation:
Try solving this way
23.85
+07.42
+16.16
=======
47.42
PLEASE HELP THIS IS DUE TODAY!
Justify each step of the solution by stating the property that was used to get to each step.
Given: 4.5(8-x)+36=102-2.5(3x+24)
Step 1: 36-4.5x+36=102-7.5x-60
Step 2: 72-4.5x=42-7.5x
Step 3: 72+3x=42
Step 4: 3x=-30
Step 5: x=-10
Answer:
_1+5+0+8=65
Step-by-step explanation:
Col-ledge math solution hope you dont get confused
Hope this helps :)
Brainest pls?
Answer:
x= -10
Step-by-step explanation:
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
Tanya has 144 chairs that she needs to
arrange in a square. Which expression would tal
Tanya the number of chairs she needs in each
row?
Answer:
12 by 12
Step-by-step explanation:
12x12=144 which equals a square
What is the rule of the rotation. Did it rotate clockwise or counterclockwise? How many degrees did it rotate?
what is greater 0 or 2x-6?
Answer:
It's 0
Step-by-step explanation:
0 is a greater number than the answer for 2 times -6, which is -12
In other words, which one doesn't belong?
x>-2
3< x
x < 4
5>6
Please help!!
Answer:
5>6
Step-by-step explanation:
The quotient of fifty and five more than a number is ten
Answer:
This number would be straight out zero .
Step-by-step explanation:
First it said the quotient of fifty and five MORE than a number is 10, so we first need to focus on the line five MORE than a number is 10, so we know this number is less than the value used in the equation then we focus on the quotient of fifty and, So we know this unknown number lets just say the variable for it is n, then we know that fifty/ n+5=10. So Lets use the associative property to turn this into and some algebra to fifty/10 = n+5, so 50/10 equals to 5, so we know that, 5= n+5, so that would be... n = 0. Hope this helps you answer your question! :)