F. M⁻¹ s⁻¹
The rate constant if reaction is second order in A is:D. M⁻¹
RATE CONSTANT REACTIONIf the reaction is first order in A, the rate law is rate = k[A], where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:
1.6 x 10⁻³ M/s = k(0.11 M)
Solving for k:
k = (1.6 x 10⁻³ M/s) / (0.11 M) = 14.55 x 10⁻⁴ s⁻¹
So the rate constant for a first order reaction in A is 14.55 x 10⁻⁴ s⁻¹.
If the reaction is second order in A, the rate law is rate = k[A]², where k is the rate constant. Since the rate of the reaction is 1.6 x 10⁻³ M/s and the concentration of A is 0.11 M, we can find the value of the rate constant by plugging in the given values:
1.6 x 10⁻³ M/s = k(0.11 M)²
Solving for k:
k = (1.6 x 10⁻³ M/s) / (0.11 M)² = 0.1395 x 10⁻³ M⁻¹ s⁻¹
So the rate constant for a second order reaction in A is 0.1395 x 10⁻³M⁻¹ s⁻¹.
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The diagram shows a convex polygon. What is the sum of the interior angle measures of this polygon?
The sum of the interior angle measures of this polygon is 540 degrees
What is a convex polygon?A convex polygon is simply described as closed figure having all its interior angles less than 180° and its vertices pointing outwards.
The word 'convex' is used to described a shape that has a curve or a protruding surface.
Also, all the lines across the outline are straight and they all point outwards.
From the diagram shown, we have that;
It is a convex polygonThe number of sides is 5It is a pentagonSum of the interior angles of a pentagon = (n - 2) 180
Substitute n as 5 in the equation
= (5 -2 ) 180
= 3(180)
= 540 degrees
Hence, the sum is 540 degrees
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How many four-digit personal identification numbers (pin) are possible if the pin cannot begin with a 0 and the pin must be an odd number? a. 5,000 b. 4,500 c. 3,600 d. 500 please select the best answer from the choices provided.
We must take into account the number of options for each PIN digit in order to get the total number of 4-digit personal identification numbers (PINs) that can exist. There are nine options available because the first digit must be 0. (1, 2, 3, 4, 5, 6, 7, 8, or 9). There are a total of 10 options available for each of the remaining 3 digits, which can all be any of the digits 0 through 9. Thus, there are a total of 9 * 10 * 10 * 10 = 9000 different 4-digit PIN combinations.
However, since we're looking for 4-digit PINs that are odd, the last digit must be one of the following: 1, 3, 5, 7, or 9. This indicates that there are 5 options available for the final digit.
As a result, there are 4500 4-digit PINs that are odd and cannot start with 0. This is calculated as 5 * 9 * 10 * 10. This is the right response, which goes with option b.
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PLS ANSWER QUICK!!
What is Descartes's number?
100 times my number is 45.3 more than 3,000. What is the number?
Answer:
30.453
Step-by-step explanation:
n = (3000+45.3)/100
= n = 3045.3/100
= n = 30.453
Descartes's number is 30.453
Write the coordinates of the vertices after a reflection over the line y=–x.
The coordinates of the vertices after the reflection over the line y = -x is K'(-5, -4), L'(-7, -7), M'(-9, -4) and N'(-7, 1).
What is Reflection?Reflection is a type of geometric transformation where the figure is flipped. In other words, a figure when undergoes reflection becomes it's mirror image.
Given a quadrilateral KLMN.
The coordinates of the vertices are,
K(4, 5), L(7, 7), M(4, 9) and N(-1, 7)
The point (x, y) after the reflection over the line y = -x is the point (-y, -x).
K(4, 5) becomes K'(-5, -4)
L(7, 7) becomes L'(-7, -7)
M(4, 9) becomes M'(-9, -4)
N(-1, 7) becomes N'(-7, 1)
Hence the coordinates are K'(-5, -4), L'(-7, -7), M'(-9, -4) and N'(-7, 1).
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Evaluate:
8 ( 1/4)
Answer choices
0
1
2
3
Answer:
2 is correct answer.
given the following information, n = 49, = 50, s = 7 h0: μ > 52 ha: μ < 52 the test statistic is
The test statistic by the given values is t = -2.
What is Test Statistic?Test statistic is a value calculated from a statistical test of hypothesis. It describes the closeness of the observed data with the expected distribution under the null hypothesis.
Test statistic can be calculated from the formula,
t = (xₐ - μ) / (s/√n)
where xₐ is the sample mean, μ is the population mean, s is the standard deviation and n is the sample size.
Given,
n = 49, xₐ = 50, s = 7
Since null and alternate hypothesis are given, μ = 52.
So the test statistic,
t = (50 - 52) / (7/√49)
= -2 / (7/7)
= -2
Hence the test statistic is -2.
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What are the 7 properties of triangle?
A triangle has three sides, three angles, and seven properties including sum of interior angles, exterior angle theorem, triangle inequality theorem, congruence, isosceles triangle theorem, right triangle theorem, and pythagorean theorem.
1. Sum of Interior Angles: The interior angles of a triangle always add up to 180°.
2. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.
3. Triangle Inequality Theorem: The sum of any two sides of a triangle must be greater than the measure of the third side.
4. Congruence: Triangles are congruent if their corresponding angles and sides are equal.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
6. Right Triangle Theorem: A triangle with one 90-degree angle is called a right triangle.
7. Pythagorean Theorem: The sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse.
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The seven properties of triangle is listed below.
Here we have to list down the seven properties of triangle.
The properties of the triangle are as follows:
1) Angle Sum Property states that the sum of the three interior angles of a triangle is always 180°.
2) Triangle Inequality Property states that the sum of the length of the two sides of a triangle is greater than the third side.
3) The difference property states that the difference between the two sides of a triangle is less than the length of the third side.
4) Pythagoras property states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
5) Exterior Angle Property states that the exterior angle of a triangle is always equal to the sum of the interior opposite angles
6) Similarity property states that if two triangles are said to be similar if their corresponding angles of both triangles are congruent and the lengths of their sides are proportional.
7) Congruence Property states that if two triangles are said to be congruent if all their corresponding sides and angles are equal.
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Can you help me with this
Part 1
[tex]m=\frac{-7-(-5)}{8-0}=\boxed{-\frac{1}{4}}[/tex]
Part 2
[tex]y=-\frac{1}{4}x-5[/tex]
This is because the [tex]y[/tex]-intercept is given to be [tex](0,-5)[/tex].(50 points!!!!!)
Find the exact value of; arctan(sin (pi/2)).
please show your work using a unit circle.
Answer:
π/4
Step-by-step explanation:
(I cannot attach a unit circle here, sorry :)
Recall the function of the (x,y) values of the unit circle. X represents the cosine value, and y is the sine value.
If you look at a unit circle, π/2 has the coordinates (0,1), so the sine value of π/2 is 1.
To find arctangent, remember that the range of tangent is -π/2 < x < π/2. In terms of the unit circle, these are the minimum and maximum values, and we cannot use -π/2 and π/2 since x is 0, which means it'll be undefined. The angle where the coordinates can be found is the arctangent of the function.
So, find the coordinate where both x and y have the same value (√2/2, √2/2) at π/4. Therefore, the answer for the arctan(sin(π/2)) = π/4.
Use algebra to identify the inverse of the function.
F(x)=(x-1)^2-4
Answer:
[tex]f^{-1}(x)=\sqrt{x+4}+1[/tex]
Step-by-step explanation:
[tex]f(x)=(x-1)^2-4\\y=(x-1)^2-4\\[/tex]
Swap x and y and solve for y:
[tex]x=(y-1)^2-4\\x+4=(y-1)^2\\\sqrt{x+4}=y-1\\\sqrt{x+4}+1=y\\f^{-1}(x)=\sqrt{x+4}+1[/tex]
Hence, the inverse function is [tex]f^{-1}(x)=\sqrt{x+4}+1[/tex]
Kieran and Louise each think of a number.
4 less than Kieran's number is equal to 2 lots of Louise's
number.
3 lots of Kieran's number added to Louise's number is 68.
Using the information above, write and solve two
simultaneous equations to work out Kieran and Louise's
numbers.
Using simultaneous equations, Kieran and Louise's numbers are 20 and 8 respectively.
How to represent situation with system of equation?Kieran and Louise each think of a number. 4 less than Kieran's number is equal to 2 lots of Louise's number.
let's
x = Kieran's number
y = Louise's number.
x - 4 = 2y
x - 2y = 4
3 lots of Kieran's number added to Louise's number is 68.
Hence,
3x + y = 68
Hence, let's combine the system of equation.
x - 2y = 4
3x + y = 68
multiply equation(i) by 3
3x - 6y = 12
3x + y = 68
-7y = -56
y = -56 / -7
y = 8
Therefore, let's find x
x = 4 + 2y
x = 4 + 2(8)
x = 4 + 16
x = 20
Hence,
Kieran number = 20
Louise number = 8
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The linear function f(x) has a slope of -5 and intersects the y-axis at the point (0, 45). If g(x) = -5x - 10, which statement is true?
A. The function f(x) intersects the x-axis closer to zero than the function g(x).
B. The functions f(x) and g(x) do not intersect the x-axis.
C. The functions f(x) and g(x) intersect the x-axis at the same point.
D. The function g(x) intersects the x-axis closer to zero than the function f(x).
The linear function f(x) has a slope of -5 and intersects the y-axis at the point (0, 45). The function g(x) intersects the x-axis closer to zero than the function f(x). Option D
What is a function?Generally, To find the x-intercepts of a linear function, you can set the y-value equal to zero and solve for x.
For the function f(x), we have:
f(x) = -5x + 45
0 = -5x + 45
5x = 45
x = 9
So the x-intercept of f(x) is (9, 0).
For the function g(x), we have:
g(x) = -5x - 10
0 = -5x - 10
5x = 10
x = 2
So the x-intercept of g(x) is (2, 0).
Since the x-intercept of g(x) is closer to zero than the x-intercept of f(x), the correct answer is D. The function g(x) intersects the x-axis closer to zero than the function f(x).
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Perform the following calculations and report your answer with three significant digits. 101,455,348 + 1,111,419 = 0.000000612 x 0.00031119 = 297,060 + 0.0004839 =
The answer of addition & multiplication are,
101,455,348 + 1,111,419 = 102566767
0.000000612 x 0.00031119 = 1.9044828E-10
297,060 + 0.0004839 =297060.0005
0.000000612 x 0.00031119 =
297,060 + 0.0004839 =
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
Here, given that,
101,455,348 + 1,111,419 = 102566767
0.000000612 x 0.00031119 = 1.9044828E-10
297,060 + 0.0004839 =297060.0005
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a town council is conducting a survey to determine if a playground should be built on a vacant piece of land. they send the survey to families in town with kids who attend the local schools. Explain why the samples are used for the survey is not representative of the population.
the other drop down box is:
less likely
more likely
equally likely
answer: more likely because its a bunch of school-aged kids so obviously they want a new park.
exercise 1.12. we roll a fair die repeatedly until we see the number four appear and then we stop. (a) what is the probability that we need at most 3 rolls? (b) what is the probability that we needed an even number of die rolls?
The probability of needing at most 3 rolls is 1/2.The probability of needing an even number of die rolls is 1/2.
(a) The probability of needing at most 3 rolls is 1/6 + 1/6 + 1/6 = 3/6 = 1/2. This can be calculated by considering the probability of getting a 4 on the first, second and third rolls. The probability of getting a 4 on the first roll is 1/6, the probability of getting a 4 on the second roll is 1/6 and the probability of getting a 4 on the third roll is 1/6. This adds up to 3/6 which is the same as 1/2.
(b) The probability of needing an even number of die rolls is 1/2. This is because the probability of getting a 4 on an even roll is the same as the probability of getting a 4 on an odd roll. For example, the probability of getting a 4 on the first roll is 1/6, the probability of getting a 4 on the third roll is also 1/6. Therefore, the probability of needing an even number of die rolls is 1/2.
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Who is the proponent of Theory X and Y?
Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."
What is Douglas McGregor?In his well-known "Theory X and Theory Y," Douglas McGregor distinguished between these two approaches' underlying assumptions about human motivation as follows: According to Theory X, employees must be forced, managed, and persuaded to work toward organizational objectives since they detest it.
Additionally, the majority of people prefer to be treated in this manner so they can evade accountability.
Theory Y, or the integration of aims, highlights the typical person's innate interest in his work, desire to be self-directing and seek responsibility, and the ability for originality in problem-solving for organizations.
Therefore, Douglas McGregor distinguished between these two techniques' fundamental assumptions about human motivation in his well-known "Theory X and Theory Y."
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GFH and HFJ are adjacent and congruent what are two conclusions you can draw from this infomation?
We can give the following two conclusions:
GFH and HFJ are congruent, meaning they have the same size and shape.GFH and HFJ are adjacent, meaning they share a common side or vertex.Conclusions for GFH and HFJFrom the information provided:
Since GFH and HFJ are adjacent, they share a common side or vertex. This means that the two figures are not only congruent, but they also share at least one common angle.
Since GFH and HFJ are congruent, they have the same size and shape. This means that corresponding angles and sides are equal in measure. It also means that the two figures can be superimposed on each other exactly.
In conclusion, since they are congruent and adjacent, we can say that they are part of a larger geometric figure.
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What is the most specific name for the figure?
A(0, 0)
B(-3a, 0)
C(-3a, b)
D(0, b)
C
B
A. Rhombus
C. Parallelogram
D
A
B. Rectangle
D. Square
Answer:
Rectangle
Step-by-step explanation:
By putting the points in Desmos, it shows an image of a rectangle. It allows you to change the number of B and also A, and whatever number you change them to the image will still be a rectangle.
Solve this system of linear equations. Separate the x- and y-values with a comma.5x + 7y = -34
10x + 17y = -89
For the given equations the value of x is 3 and the value of y is -7.
What is an expression?The mathematical expression combines 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 denote the logical syntax's operation order and other properties.
Given that the system of equation is 5x + 7y = -34 and 10x + 17y = -89. The value of x and y will be calculated as,
5x + 7y = -34 ........................(1)
10x + 17y = -89 ........................(2)
Multiply the first equation by 2 and subtract the second equation from the first equation,
10x + 14y = -68
-10x - 17y = +89
____________
0 - 3y = 21
y = -7
The value of x will be,
5x + (7 x -7 ) = -34
5x - 49 = -34
5x = -34 + 49
5x = 15
x =3
Hence, the values are x = 3 and y = -7.
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What is the area of a sector when theta=pi/12 radians and r =4
Answer:
[tex]\frac{2\pi}{3}\text{units}^2[/tex]
Step-by-step explanation:
[tex]\displaystyle A=\frac{r^2\theta}{2}=\frac{4^2*\frac{\pi}{12}}{2}=\frac{16\pi}{24}=\frac{2\pi}{3}\text{units}^2[/tex]
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 8y = 72
Answer:
y = -5x/4 + 9
Step-by-step explanation:
Slope-intercept Form: y=mx+b where m=slope
In order to put the equation into slope-intercept form, solve for y:
10x + 8y = 72
8y = -10x + 72 ==> subtract 10x on both sides to isolate y
y = (-10x + 72)/8 ==> divide both sides by 8 to isolate y
y = -10x/8 + 72/8 ==> divide each term by 8
y = -5x/4 + 9 ==> simplify
The solution is : y = -5x/4 + 9, equation of a line into slope-intercept form, simplifying all fractions.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
we know that,
Slope-intercept Form:
y=mx+b
where m=slope
In order to put the equation into slope-intercept form, solve for y:
10x + 8y = 72
8y = -10x + 72 ==> subtract 10x on both sides to isolate y
y = (-10x + 72)/8 ==> divide both sides by 8 to isolate y
y = -10x/8 + 72/8 ==> divide each term by 8
y = -5x/4 + 9 ==> simplify
Hence, The solution is : y = -5x/4 + 9, equation of a line into slope-intercept form, simplifying all fractions.
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1 yard is equal to 3 feet or 36 inches. How many inches are in 2
yards, 3 feet?
The Answer is 84, because 36 x 2 =72 and then 1/3 of 36 is 12 and 12+72=84.
What is inches?In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches. For instance, 16 in or 16" can be used to write 5 inches. In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equivalent to 1/12 of a foot or 1/36 of a yard. a unit of length that is equivalent to 1/12 foot, or 2.54 centimeters, in length. In the conventional system of measurement, an inch is a unit of length. Either in or " can be used to represent length in inches.To learn more about equivalent refer to:
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This number line models the division problem 14÷5 .
What is the quotient?
Enter your answer as a fraction in simplest form by filling in the boxes.
The quotient from the model of the number line is 0.05.
What is a Quotient?A quotient is an outcome of a division process carried out by two numbers in which one is a divisor and the other is a dividend. The divisor is the number that is being used to divide the dividend.
A quotient is the output of a division operation in more generic terms. It is the result of dividing one quantity by another. Aside from its mathematical use, the term "quotient" can also refer to the outcome of any division or separation process.
From the number line, we have 20 spaces between 0 to 1. So, it implies that 1 is the dividend and 20 is the divisor.
i.e.
[tex]\dfrac{1}{20}[/tex]
= 0.05 ... The result of this division process is known as the quotient.
Therefore, we can conclude that the quotient that models the division of the number line is 0.05.
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Solve for 2y squared + 1 = 0 and show your work
Answer: y = ±√ 0.500 = ± 0.70711
Step-by-step explanation:
Solve : 2y2-1 = 0 Add 1 to both sides of the equation : 2y2 = 1 Divide both sides of the equation by 2: y2 = 1/2 = 0.500 When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get: y = ± √ 1/2
Answer:
Answer: y = ± √0.500 = ± 0.70711
a survey of a fourth-grade class resulted in the following information
The probability that a student likes either mathematics or social sciences, given the survey on the fourth - grade class is, 68 %.
How to find the probability ?The probability that a student would like either mathematics or social sciences in the fourth - grade class, is :
= Probability that student likes math + Probability that student likes social sciences - Probability that student likes both math and social sciences
Probability that student likes math = 64 %
Probability that student likes social sciences = 11 %
Probability that student likes both math and social sciences = 7 %
The probability that a student likes either mathematics or social sciences is :
= 64 % + 11 % - 7 %
= 68 %
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Full question is :
A survey of a fourth-grade class, resulted in the following information:
64% liked mathematics, 11% liked social studies, and 7% liked both mathematics and social studies.
Find the probability that a student likes either mathematics or social sciences. (write the answer in percentage)
Classify each of the triangles as acute, obtuse, or right. triangle jkl is triangle. triangle xyz is triangle.
Triangle JKL is right. Triangle XYZ is acute.
To classify a triangle you need to know the measure of each angle.
For triangle JKL, if we measure the angles, we can see that angle JKL is 90 degrees, which makes it a right triangle.
For triangle XYZ, if we measure the angles, we can see that all angles are less than 90 degrees, which makes it an acute triangle.
Triangle JKL is a right triangle and triangle XYZ is an acute triangle.
Triangle JKL is right. Triangle XYZ is acute.
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Answer: b and a
Step-by-step explanation:
What is the solution to the equation 1 x 1 x 2 2x 2 2?
the answer is 1
x = 1 is an extraneous solution for the equation 1/(x - 1) = (x - 2)/(2x² - 2).
find f. f ''(x) = x−2, x > 0, f(1) = 0, f(8) = 0
Find f when f"(x) = x^-2, x > 0, f(1) = 0, f(8) = 0
Integrate twice. Do not forget the constants of integration.
f'(x) = -1/x + C f(x) = - ln x + Cx + D
To find C and D, apply f(1) and f(2)
f(1) = - ln (1) + C + D = 0
C + D = 0 equation 1
f(8) = - ln 8 + 8C + D = 0
8C + D = ln 8 equation 2
Solve for C and D from equations 1 and 2
C = ln 2/7 and D = - ln2/7
f(x) = - ln x + (ln 2/7) x - ln 2/7
In mathematics, an integral lends numerical values to functions to represent concepts like volume, area, and displacement that result from combining infinitesimally small amounts of data. Integration is the action of locating integrals. Integration, along with differentiation, is a fundamental, crucial calculus operation.
It can be used to solve issues in mathematics and physics involving, among other things, the volume of a solid, the length of a curve, and the area of an arbitrary shape.
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SOMEONE pleaseee helpp
Answer:
its b
Step-by-step explanation:
Answer: b
Step-by-step explanation:
perform operations with polynomials. subtract a^(2)-3a b-4b^(2) from the sum of 3a^(2)-a b-2b^(2 )and 2a^(2)+5a b-3b^(2)
The solution of the polynomial ; subtracting a² - 3ab - 4b² from the sum of 3a² - ab - 2b² and 2a² + 5ab - 3b² is 4a² + 7ab - b².
How to solve polynomials?Polynomials are algebraic expressions that consist of variables and coefficients. Therefore, let's perform the operation with the polynomials as follows:
Let's subtract a² - 3ab - 4b² from the sum of 3a² - ab - 2b² and 2a² + 5ab - 3b².
Hence,
3a² - ab - 2b² + 2a² + 5ab - 3b²
combine like terms
3a² + 2a² - ab + 5ab - 2b² - 3b²
5a² + 4ab - 5b²
Finally let's subtract a² - 3ab - 4b² from 5a² + 4ab - 5b².
Therefore,
5a² + 4ab - 5b² - ( a² - 3ab - 4b²)
5a² + 4ab - 5b² - a² + 3ab + 4b²
5a² - a² + 4ab + 3ab - 5b² + 4b²
4a² + 7ab - b²
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