The half-life of a reaction is proportional to 1/k for a first-order reaction.
The half-life of a reaction is defined as the time required for half of the reactant to be consumed. The half-life (t1/2) of a first-order reaction is given by:
t1/2 = 0.693/k
where k is the rate constant of the reaction. For a second-order reaction, the half-life is given by:
t1/2 = 1/(k[A]0)
where [A]0 is the initial concentration of the reactant. For a zero-order reaction, the half-life is given by:
t1/2 = [A]0/(2k)
Comparing these equations, we see that the half-life of a first-order reaction is inversely proportional to the rate constant, whereas the half-life of a second-order reaction is directly proportional to the initial concentration of the reactant.
Therefore, the half-life of a reaction is proportional to 1/k for a first-order reaction.
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(05.01)
The graph below shows a system of equations:
The x-coordinate of the solution to the system of equations is
The x-coordinate of the solution to the system of equations plotted is -2
How to find the x-coordinate of the solution to the system of equationsThe x-coordinate of the solution to the system of equations is sought by examining the attached graph
The point where the two lines plotted intersect is the solution. At this point, like any other point in a coordinate system will have x coordinate and y coordinate
The x coordinate is solved by tracing the from the point to the x axis, The value where the imaginary trace line drawn intersects the x coordinate is the solution at the x coordinate
This point has the values of -2 in the x axis
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explain the difference between a parameter and a statisitc, explain the difference between p and p hat, what is maent by sampling variabiloty
The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.
Parameter and statistic: Parameter is a value that describes the population, while statistic is a value that describes a sample.
Parameters are usually represented using Greek letters, while statistics are usually represented using Roman letters. In other words, a parameter is a population characteristic, whereas a statistic is a sample characteristic.
P and p hat: P represents the true proportion of a population with a particular attribute, while p hat represents the proportion of a sample with that attribute. P hat is an estimate of the true proportion p, which may differ from the actual proportion due to sampling error.
Sampling variability: Sampling variability is the variation in sample statistics that occurs from sample to sample. It is the result of the fact that different samples of the same size drawn from the same population will produce different estimates of the population parameter due to random sampling error. The sampling variability can be reduced by increasing the sample size. Hence, it is essential to ensure that a large enough sample size is used to obtain reliable estimates of population parameters.
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Selected runners from a marathon were asked how many miles they could run before they started to feel tired. The results are shown in the following histogram.How many of those runners could run greater than 5.5 and less than 7.5 miles before they started to feel tired?
From the given history graph, the following are the runners that could run greater than 5.5 and less than 7.5 miles before they started to feel tired.
For runners that could run greater than 5.5 but less than 6.5 miles = 4 Runners
For runners that could run greater than 6.5 but less than 7.5 miles = 4 Runners
Therefore, the total number of runners that could run greater than 5.5 and less than 7.5 miles is:
\(\text{ 4 + 4 = 8 Runners}\)Therefore, 8 runners could run greater than 5.5 and less than 7.5 miles.
harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house
Answer:
155,000
159,999
Step-by-step explanation:
In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit
e.g. Rounding off 10,999 to the nearest thousand is 11,000
In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9
Which equation is a linear function?
A) y=-3x2 - 5x+3
B) y=5.2x-3
C) -5y+ 3x = 7
D) y = -5√x + 11
Answer:
A.
Step-by-step explanation:
D: there is no square root
for both C and B there is no decimal.
A should end up being y=-8x+5 which is in y=mx+b form
Use variation of parameters to find a general solution to the differential equation given that the functions y, and y₂ are linearly independent solutions to the corresponding homogeneous equation for t> 0. ty"-(t+1)y'+y=191²; y₁=e¹, y₂=t+1 CLLLS A general solution is y(t) = 0.
To find the general solution to the given differential equation using the method of variation of parameters, we can say that the solution may vary depending on the values.
We need to assume a particular solution of the form y_p(t) = u₁(t)y₁(t) + u₂(t)y₂(t), where u₁(t) and u₂(t) are unknown functions to be determined, we can say that the solution may vary depending on the values.
In this specific case, the given differential equation is ty" - (t+1)y' + y = 191². We are told that y₁(t) = e^t and y₂(t) = t+1 are linearly independent solutions to the corresponding homogeneous equation.
To find the particular solution y_p(t) using variation of parameters, we assume y_p(t) = u₁(t)y₁(t) + u₂(t)y₂(t), where u₁(t) and u₂(t) are unknown functions. By substituting this into the differential equation and simplifying, we can obtain expressions for u₁'(t) and u₂'(t). Integrating these expressions with respect to t will give us u₁(t) and u₂(t). After finding u₁(t) and u₂(t), we can form the general solution y(t) = y₁(t) + y₂(t) + y_p(t) by combining the homogeneous solutions y₁(t) and y₂(t) with the particular solution y_p(t). However, if the particular solution y_p(t) is found to be zero, as indicated by y(t) = 0 in the given problem, then the general solution simplifies to y(t) = y₁(t) + y₂(t).
It's important to note that the specific values and calculations for u₁(t) and u₂(t) may vary depending on the given differential equation and the linearly independent solutions y₁(t) and y₂(t) provided.
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Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.
On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?
(2, –8)
(–8, –2)
(–2, 8)
(8, 2)
Answer:
(-8 , -2)
Step-by-step explanation:
the coordinates of B’ are (-8 , 2)
then
Since B also is the image of B’ through the reflection across the x-axis
then the coordinates of B are (-8 , -2)
Answer:
(-8, -2)
Step-by-step explanation:
The answer to which situation is best estimated
by-7?
A The temperature falls 1.9°F from 4.3°F.
B A hot-air balloon rises 4.1 meters from the ground
and then rises 2.3 meters more.
C A submarine goes 3.8 feet below the surface of the
ocean and then goes 2.5 feet farther down.
D The amount of money Sarah has after she buys milk
for $3.85 and bread for $2.45.
Answer:
I think it is C
Step-by-step explanation:
Bet you 100% you are new or your account got deleted
High tide is 4 feet higher than low tide what is the integer?
The integer that describes this difference is 4.
The integer that describes the difference between high tide and low tide, when high tide is 4 feet higher than low tide is 4. The integer is a whole number that can be negative, positive, or zero, but not a fraction or a decimal.Further explanationLet the height of low tide be x. Then the height of high tide will be x + 4.
As per the question, high tide is 4 feet higher than low tide.In terms of an equation,
x + 4 = High tide height= Difference between high tide and low tide
We can calculate the difference between high tide and low tide as follows:
Difference between high tide and low tide = high tide height - low tide height
Difference between high tide and low tide= (x+4) - x= 4
The difference between high tide and low tide is 4 feet.
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hello fabulous1a please be in comments i need an answer for this question please when you answer tell me which one you're answering
Answer:
1. The answer is 8
20-3-1= $16
$16/2=8
meaning they've only been on 8 games or rides
2. The answer is 17 miles. Every mile = $1 so that means they travelled 17 miles
first u subtract 5 from 22 which will equal 17
3. $0.25
first u add up all the money from each item and then subtract it by 12 and u will get 0.25
Nvm I can only do 1-3
Step-by-step explanation:
The grizzly bear population
increases
at a rate of 4%
per year. There are 1289
bears this year. How
many bears will there be in
8 years?
Find the missing length. The triangles in each pair are similar.
Answer: 87 For the first one, second : 169 3rd : 120 and the 4th : 220
Step-by-step explanation:
Step-by-step explanation:
Question 1:
Triangles EFG and JKL are similar.
Therefore GE/LJ = EF/JK.
=> 35/7 = ?/13, ? = 65.
Question 2:
Triangles PQR and JKR are similar.
Therefore QR/KR = PR/JR.
=> 169/65 = ?/65, ? = 169.
Question 3:
By Side-Splitter Theorem,
RE/RD = RT/RS.
=> 50/60 = 70/?, ? = 84.
Question 4:
By Side-Splitter Theorem,
KC/KB = KM/KL.
=> ?/65 = 121/143, ? = 55.
The answers are 65, 169, 84 and 55 respectively.
let r be an nxn upper triangular matrix with semi band width s Show that the system Rx = у can be solved by back substitution in about 2ns flops. An analogous result holds for lower-triangular systems
To solve the system Rx = у, where R is an nxn upper triangular matrix with semi-band width s, we can use the back-substitution method, which involves solving for x in the equation R*x = y.
The back-substitution algorithm starts with the last row of the matrix R and solves for the last variable x_n, using the corresponding entry in y and the entries in the last row of R.
Then, it moves on to the second-to-last row of R and solves for the variable x_{n-1} using the entries in the second-to-last row of R, the known values of x_{n}, and the corresponding entry in y. The algorithm continues in this way, moving up the rows of R, until it solves for x_1 using the entries in the first row of R and the known values of x_2 through x_n.
Since R is an upper triangular matrix with semi-band width s, the non-zero entries are confined to the upper-right triangle of the matrix, up to s rows above the diagonal.
This means that in each row of the back-substitution algorithm, we only need to consider at most s+1 entries in R and the corresponding entries in y. Furthermore, since the matrix R is triangular, the entries below the diagonal are zero, which reduces the number of operations needed to solve for each variable.
Thus, in each row of the back-substitution algorithm, we need to perform at most s+1 multiplications and s additions to solve for a single variable. Since there are n variables to solve for, the total number of operations required by the back-substitution algorithm is approximately 2ns flops.
An analogous result holds for lower-triangular systems, where the entries are confined to the lower-left triangle of the matrix. In this case, we use forward-substitution instead of back-substitution to solve for the variables, starting from the first row of the matrix and moving down. The number of operations required is again approximately 2ns flops.
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can someone help me with this problem? thank you!
Answer:
The surface area for the three rectangles is 48, 42, and 40 cm^2.
The surface area for the two triangles is 20 and 20, but for triangles, when you are finding the area of a triangle, you have to divide by 2.
4x5=20
20÷2=10
Now, do the same for the other triangle.
10+10=20.
Now, add all the surface areas together.
48+42+40+20=150
Surface area= 150 cm^2
:)
Compare: 7.899 O 7.889A)>B)
Answer:
A) >
Explanation:
Consider the two numbers: 7.899 and 7.889
• The unit digits are both 7.
,• The tenth digits are both 8.
However, in the hundredth digits:
• The hundredth digit in 7.899 = 9
,• The hundredth digit in 7.889 = 8
Since 9 is greater than 8, we thus have that:
\(7.899>7.889\)The correct option is A.
suppose that a classroom has 4 light bulbs. the probability that each individual light bulbs work is 0.6. suppose that each light bulb works independently of the other light bulbs. what is the probability that none of the 4 light bulbs work?
The probability that none of the 4 light bulbs work is 2.56%.
As per the given information, the probability that an individual light bulb works is 0.6.
Therefore, the probability that it does not work (i.e., fails) is:
1 - 0.6 = 0.4
Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.
Calculated as,
P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)
P(none work) = 0.4 × 0.4 × 0.4 × 0.4
P(none work) = 0.0256
Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.
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Rewrite tan 36° in terms of its cofunction. tan 36⁰ = (Type an exact answer. Simplify your answer. Type any angle
tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).
The tangent of 36° can be expressed in terms of its cofunction, which is the cotangent. The cotangent of an angle is equal to the reciprocal of the tangent of that angle. Therefore, we can rewrite tan 36° as cot (90° - 36°).
Now, cot (90° - 36°) can be simplified further. The angle 90° - 36° is equal to 54°. So, we have cot 54°.
The cotangent of 54° can be determined using the unit circle or trigonometric identities. In this case, the exact answer for cot 54° is (√3 + 1) / (√3 - 1).
Hence, tan 36° can be written as cot 54°, which simplifies to (√3 + 1) / (√3 - 1).
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Please help!!! Due today!! Picture of question + example. Please show work!!!
can some body help me
Answer:
63
Step-by-step explanation:
k=y/x
y/x=k
y=k×x
y=7×9
y=63
Explain why, if A and B are sets, it is not necessarily true that n(A - B) = n(A) - n(B). Give counterexample.
It is not necessarily true that n(A - B) = n(A) - n(B) when A and B are sets.
What is an example that shows n(A - B) ≠ n(A) - n(B) when A and B are sets?Consider two sets, A = {1, 2, 3} and B = {1, 4}.
In this case, A - B = {2, 3}, n(A) = 3, n(B) = 2, and n(A - B) = 2. Therefore, n(A - B) ≠ n(A) - n(B).
In set theory, the difference of two sets A and B is defined as the set of elements in A that are not in B. The cardinality of a set is the number of elements it contains.
The equation n(A - B) = n(A) - n(B) is not always true, and there exist counterexamples where it does not hold. One such counterexample is A = {1, 2, 3} and B = {1, 4}. In this case, A - B = {2, 3}, n(A) = 3, n(B) = 2, and n(A - B) = 2. Thus, n(A - B) ≠ n(A) - n(B).
It is important to note that the equation n(A - B) = n(A) - n(B) holds only when every element in A - B is also in A and not in B. If this condition is not met, the equation does not hold.
Therefore, one must be cautious when applying this equation and ensure that all elements are properly accounted for.
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The perimeter of a rectangular
Sheet is 120 cm. If the length is 40 cm, find its breadth.
Also find its area.
Answer:
Breadth = 20 cm
Area = 800\(cm^{2}\)
Step-by-step explanation:
Perimeter = 120 cm
length = 40 cm
Perimeter = 2 ( L + B )
L - length B - Breadth
120 = 2 ( 40 + B )
120 = 80 + 2B
2B = 120 - 80
2B = 40
B = \(\frac{40}{2}\) = 20 cm
Breadth = 20 cm
Area of a reactangle = Length × Breadth
= 40 × 20
= 800\(cm^{2}\)
A room is 3.4 m wide and 2.6 m long. What is the perimeter of the room
Answer:
The perimeter of the room is 12m
what values on the ph scale (logarithmic scale) correspond to:
a. the acid range
b. neutrality
c. the basic range
the acid range is (PH <7)
neutrality is (PH =7)
the basic range is (PH>7)
A. The acid range
The corrosive run on the pH scale is ordinarily considered to be any esteem
less than 7.0.
This incorporates values from 6.9, with is foremost acidic.
B. Neutrality
A lack of bias on the pH scale is characterized by a
value of 7.0
. This is often considered the point at which an arrangement is not one or the other acidic nor essential.
C. The basic range
The fundamental extent on the pH scale is ordinarily considered to be any esteem
more prominent than 7.0.
This incorporates values from 7.1 to 14, with 14 being the foremost essential
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. The price of a new TV is £540, which includes 20% VAT.
Find the cost of the TV excluding VAT.
Answer:
450
Step-by-step explanation:
Based on the given conditions, formulate:
Calculate the sum or difference:
Convert decimal to fraction:
Divide a fraction by multiplying its reciprocal:
Cross out the common factor:
Calculate the product or quotient:
Answer:
Write - 1.5y = 4.5x - 9 in standard form .
The standard from of the equation - 1.5y = 4.5x - 9 is 3x + y = 6.
What is an equation?A mathematical equation is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given equation is - 1.5y = 4.5x - 9. The standard form of an equation is given as:-
ax + by = c
Reduce the equation -1.5y = 4.5x - 9 in standard form:-
-1.5y = 4.5x - 9
4.5x + 1.5y = 9
3x + y = 6
Therefore, the standard from of the equation - 1.5y = 4.5x - 9 is 3x + y = 6.
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ratio of 14 inches to 3 feet
Answer:
14/3 or 14:3
explanation of LIFE jk jk
I am very sorry if I am wrong
The outputs of an organization, divided by all of its inputs, is called its:
A. total factor productivity.
B. total labor productivity.
C. partial productivity.
D. total capital productivity.
E. efficiency ratio.
Total factor productivity. This term refers to the ratio of an organization's outputs to all of its inputs, including labor, capital, and other resources. This measurement is used to determine how efficiently an organization is using its resources to produce its desired outcomes.
An explanation of the other options is as follows:
- B. Total labor productivity refers only to the output of an organization divided by its labor inputs.
- C. Partial productivity measures the output of an organization relative to a single input factor, such as labor or capital.
- D. Total capital productivity measures an organization's output relative to its capital inputs.
- E. Efficiency ratio is a broader term that can refer to any ratio that measures an organization's efficiency in achieving its goals, but it does not specifically refer to the ratio of outputs to inputs.
total factor productivity is the most appropriate answer to the question as it measures the overall efficiency of an organization in using all of its resources to achieve its goals.
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g(x) = 3x^2+ 5
f(x) = x - 2
Find | g
The value of (gof)(x) is \(3x^2\) - 12x + 17
The first function is
g(x) = \(3x^2\) + 5
The second function is
f(x) = x - 2
The function is the mathematical statement that shows the relationship between one variable and another variable. If one variable is independent variable and another variable is dependent variable. The function consist of the different variable, numbers and mathematical operators
Then the value of (gof)(x) is
g(f(x) = g(x-2)
Then,
g(x - 2) = 3 × \((x-2)^2\) + 5
Expand the terms
g(x - 2) = 3 × (\(x^2\) - 4x + 4) +5
g(x - 2) = \(3x^2\) - 12x + 12 +5
Add the terms
g(x - 2) = \(3x^2\) - 12x + 17
Hence, the value of (gof)(x) is \(3x^2\) - 12x + 17
The complete question is
If g(x) = 3x^2+ 5
f(x) = x - 2
Find the value of (gof)(x)
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Evaluate if a=6
a+a2=
I suck at math I need help please!:) thank you!!
Answer:
If a = 6, then a + a2 = 18.
Step-by-step explanation:
Plug in 6 for the a-variables to get this equation (6)+(6)2. You should multiply 6 and 2 first to get 12 because of PEMDAS, then you should add 6 to get your final answer which is 18.
which choice is equivalent to the quotient shown here when x=0? sqrt of 27x divided by sqrt of 48
The equivalent to the quotient shown is determined as ( 3√x ) / ( 4 ).
option B.
What is the quotient of the division?
The quotient of a division is the final answer that we get when we divide a number.
The given expression is;
√ ( 27x ) ÷ √ ( 48 )
The expression is simplified as follows;
√ ( 27x ) x 1 / √ ( 48 )
Simplify √ ( 27x ) as; √ ( 27x ) = 3√3x
Simplify √ ( 48) as; √ ( 48) = 4√3
√ ( 27x ) x 1 / √ ( 48 ) = (3√3x ) / ( 4√3 )
Simplify further, we will have;
(3√3x ) / ( 4√3 )
= ( 3 x 3 √x ) / ( 4 x 3)
= ( 3√x ) / ( 4 )
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