1. Explain the following terms as applied in catalysis and their significance in the selection of a suitable catalyst for a chemical reaction: (i) Selectivity (ii) Stability (iii) Activity (iv) Regeneratability

The multiplicative rate of change is 2/3

The complete question is in the image

The multiplicative rate of change is then calculated as:

r = y2/y1

This gives

r = 4/6

Simplify

r = 2/3

Hence, the multiplicative rate of change is 2/3

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Answer:

b.

Step-by-step explanation:

Answer:

Unbounded

Step-by-step explanation:

Let's define the group of options a little:

Infeasibility, we have that a problem is unfeasible if there is not a solution that satisfies all the restrictions. Therefore this option is not.

Unbounded, we have a problem that has no limits if the objective function can be improved indefinitely without violating the constraints and limits, therefore this is the correct answer.

Infiniteness and semi-optimality, does not comply with what the situation exposes.

By solving the two equations, the values of x , y and x-y are found to be 1, 25/3 and -22/3 respectively.

Given two equations are;

5x+3y=30..........(1)

−5x−2y=−25.........(2)

Now , from (2)

−5x−2y=−25

⇒ 5x +2y = 25 (multiply both sides with '-' sign)

⇒ y = \(\frac{(25 -5x)}{2}\)

Solving the system;

substitute the above vale of y in eq (1)

5x + 3y = 30

⇒ 5x + 3 ( \(\frac{(25 -5x)}{2}\)) = 30

⇒  5x + (\(\frac{(75 - 15x)}{2}\)) = 30

⇒  \(\frac{10x+75-15x}{2}\) = 30

⇒ -5x + 75 = 60

⇒  -5x = -5

⇒ x = 1

∴ x = 1

Now substitute the value of x in (1)

5x + 3y = 30

⇒ 5 × 1 + 3y = 30

⇒ 3y = 25

⇒ y = 25/3

∴ y = 25/3

Now using the value of x and y , we can find the value of x - y

x - y = 1 -25/3 = (3 - 25)/ 3 = -22/3

∴ x - y = -22/3

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Answer:

f(x) = -4x + 80

Step-by-step explanation:

You are given two points,

(5, 60) and (10, 40)

in order to get the equation, let's use the form slope-intercept form

m = (y1 - y2) / (x1 - x2)

m = (60 - 40) / (5 - 10)

m = 20/-5

m = -4

Get the x intercept

y = mx + b

60 = (-4)(5) + b

b = 60+20

b = 80

so the equation is

y = -4x + 80

f(x) = -4x + 80

Answer:

c

Step-by-step explanation:

f(x)=-4x+80

(i) The 90% confidence interval for the population parameter is (27.37, 45.79).

(ii) The interval (boundary values) of the 90% confidence interval is shown on the distribution graph.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79) and  we can be 90% confident that the population parameter lies within this range.

Given the following information:

Random sample of 18 students

Sample standard deviation = 10.49

90% confidence interval

To find:

(i) Form a 90% confidence interval for the population parameter.

(ii) Show the interval (boundary values) on the distribution graph.

The population variance can be estimated using the sample variance. Since the sample size is small (n < 30) and the population variance is unknown, we will use the t-distribution instead of the standard normal distribution (z-distribution). The t-distribution has fatter tails and is flatter than the normal distribution.

The lower limit of the 90% confidence interval is calculated as follows:

Lower Limit = sample mean - (t-value * standard deviation / sqrt(sample size))

The upper limit of the 90% confidence interval is calculated as follows:

Upper Limit = sample mean + (t-value * standard deviation / sqrt(sample size))

The t-value is determined based on the desired confidence level and the degrees of freedom (n - 1). For a 90% confidence level with 17 degrees of freedom (18 - 1), the t-value can be obtained from a t-table or using statistical software.

After calculating the lower and upper limits using the formula above, the interval is found to be (27.37, 45.79).

(ii) Showing the interval (boundary values) on the distribution graph:

The distribution graph of the 90% confidence interval of the variance of the students' final grade is plotted. The range between 27.37 and 45.79 represents the interval. The area under the curve between these boundary values corresponds to the 90% confidence level. Therefore, we can be 90% confident that the population parameter lies within this range.

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Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6. The sum of all their ages is 125 years. On solving we get, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

We can use algebra to solve the problem. Let x be Amanda's age. Then Brett's age is x + 5. Paul's age is 3(x + 5), and Janine's age is 3(x + 5) - 6, as given in the problem.

The sum of all their ages is 125 years. Using this information, we can set up the following equation:

x + (x + 5) + 3(x + 5) + (3(x + 5) - 6) = 125

Simplifying and solving for x, we get:

8x + 22 = 125

8x = 103

x = 12.875

Since x represents Amanda's age, which must be a whole number, we can conclude that there is an error in the problem statement.

Assuming that Amanda's age is actually a whole number, we can solve for all their ages. We find that Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old. We can check that the sum of their ages is indeed 125 years:

21 + 26 + 78 + 72 = 125

Therefore, Amanda is 21 years old, Brett is 26 years old, Paul is 78 years old, and Janine is 72 years old.

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Answer:

true

Step-by-step explanation:

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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AAA(Angle angle angle) Theorem can be used to prove given triangles as similar.

As we know we have to show all three angles equally.

so we have to show the similarities between T(DNM) and T(DFE) ....

(T Means Triangle.)

(A Means Angle)

As  D is a common vertex in both the triangles

by equations 1, 2, and 3 we can conclude that all three angles of T(DFE) =  T(DNM)

SO By the AAA rule, we can say that the two Triangles are similar.

Now we can say all the sides of T(DFE) will be in all propositions of T(DNM).

Like DN/DF=DM/DE=NM/FE

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Haylee will need 24 sheet of paper  to complete 30 greeting card .

Because once you begin having a good project, it's always a good idea to have each of your supplies in front of you. This allows you to stay focused without being interrupted by the need to find new materials.

A greeting card seems to be a component of high paper with such an illustration as well as photo on it that expresses friendship or another sentiment.

First we have, Haylee is making greeting card .

She is using 4/5 sheet of paper to make greeting card.

Now if she use 4/5 sheet of paper to make one greeting card ,

then to make 30 greeting card , she needs 30×4/5= 24 sheet paper.

she needs 24 sheet of paper to make 30 greeting cards.

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Answer:

22.5

Step-by-step explanation:

Radius = Circumference / (2*PI 3.14) = 22.5

Images that are reflected are mirror images of each other. The coordinate D reflected over the y-axis will give (0, 1).

Images that are reflected are mirror images of each other.

The reflection rule of a coordinate (x, y) over the y-axis is given as:

(x, y) - > (-x, y)

Given the coordinate CD expressed as C(-5, -5) and D(0,1), the coordinate D reflected over the y-axis will give (0, 1).

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Answer:

(0, 1)

Step-by-step explanation:

Answer:

270 square yards

Step-by-step explanation:

Answer: 90 yards

Step-by-step explanation:

Answer:

I believe the price after the markup would be $225.99, I hope this helps! :)

Answer:

Step-by-step explanation:

Increase % = 13%

\(New \ Cost = \dfrac{100+raise \ percent}{100}*199.99\\\\=\dfrac{113}{100}*199.99\\\\= 225.98\\\)

Answer:

C is the answers for the question

Step-by-step explanation:

please mark me as brainlest

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

Let's solve the compound inequality step by step:

x + 7 > 3

Subtract 7 from both sides to isolate x:

x > 3 - 7

x > -4

and, we have,

x - 5 ≤ -1

Add 5 to both sides to isolate x:

x ≤ -1 + 5

x ≤ 4

Now, we have two inequalities for x:

x > -4

x ≤ 4

The compound inequality can be expressed as "x > -4 or x ≤ 4."

The correct graph of the solution is:

OC. Solution: x > -4 and x ≤ 4

The graph will include all values greater than -4 (open circle) and all values less than or equal to 4 (closed circle) on the number line.

The correct representation is:

OC. Solution: x > -4 and x ≤ 4

Graph:

-5 -4 -3 -2 -1 0 1 2 3 4 5

+---|---|---|---|---|---|---|---|---|---+

-4 0 4

The open circle at -4 indicates that x is greater than -4, and the closed circle at 4 indicates that x is less than or equal to 4.

The shaded area between -4 and 4 represents the solution to the compound inequality.

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Answer:

$5.50

Step-by-step explanation:

10 - 4.50 = 5.50

Answer:

Bonnie is correct

Step-by-step explanation:

Ok so bonnie said to buy five shirts  so 5 x 12 = 60 but minus the $10 because the 10 dollar dicount now if you do 60 - 10 = 50 so you can buy five shirts.

Answer:

Susan is correct

Step-by-step explanation:

Step-by-step explanation:

No solutions. Both equations on the graph are parallel from each other, making it impossible to find a solution. When both lines intersect, that means a ordered pair (x) and (y) work as valid solutions to the equations.

Answer:

16

Step-by-step explanation:

Jane is selling handmade bows at $5.25 each

A woman came and spent $84 buying bows

Therefore the number of bows bought by the woman can be calculated as follows

= 84/5.25

= 16

Hence the woman bought 16 bows

Answer:

You can spend 4 days in Los Angeles and 3 days in San Francisco.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=7 (1)

275x+400y=2,300 (2), where:

x is the number of days to visit Los Angeles

y is the number of days to visit San Francisco

First, you can solve for x in (1):

x=7-y (3)

Now, you can replace (3) in (2):

275(7-y)+400y=2,300

1,925-275y+400y=2,300

125y=2,300-1,925

125y=375

y=375/125

y=3

Finally, you can replace the value of y in (3) to find x:

x=7-3

y=4

According to this, the answer is that you can spend 4 days in Los Angeles and 3 days in San Francisco.

Answer:

where r the graphs i can not help if u don't put the graphs

Step-by-step explanation:

The 40th term of the arithmetic sequence (a) will be -183 and the 60th term of the arithmetic sequence (b) will be 242

An arithmetic sequence in algebra is a sequence of numbers where the difference between every two consecutive terms is the same.

a) Given that, an arithmetic sequence has a 2nd term equal to 7 and 8th term equal to -23, we need to find the term of the sequence that has value -183.

We know that,

aₙ = a+(n-1)d

Where, aₙ = nth term, d = common difference, a = first term and n = number of terms.

Therefore,

7 = a+(2-1)d

7 = a+d

a = 7-d....(i)

Similarly,

-23 = a+(8-1)d

-23 = a+7d

a = -7d-23....(ii)

Equating the RHS of the equations,

7-d = -7d-23

30 = -6d

d = -5

Put d = -6 in eq(i)

a = 7-(-5) = 12

Now,

-183 = 12+(n-1)(-5)

-183 = 12-5n+5

-183-17 = -5n

n = 40

Therefore, 40th term will be -183

b) Given that, an arithmetic sequence has a 6th term equal to 26 and 9th term equal to 38, we need to find the 60th term

We know that,

aₙ = a+(n-1)d

Where, aₙ = nth term, d = common difference, a = first term and n = number of terms.

26 = a+5d

a = 26-5d...(i)

38 = a+8d

a = 38-8d....(ii)

Equating the RHS of the equations,

26-5d = 38-8d

3d = 12

d = 4

Put d = 4 in eq(i)

a = 26-5(4)

a = 6

Therefore,

a₆₀ = 6+(60-1)(4)

= 242

Hence, the 40th term of the arithmetic sequence (a) will be -183 and the 60th term of the arithmetic sequence (b) will be 242

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Answer:

7a - 21 + 28b

Step-by-step explanation:

using the distributive property we can multiply 7 to the numbers in the paretheses. doing this we get:

7a - 21 + 28b

To find the smallest positive solution to the equation $\sin(x) = \cos\left(2x \frac{\pi}{3}\right)$, we can rewrite it as $\sin(x) - \cos\left(2x \frac{\pi}{3}\right) = 0$.

Now, let's simplify the equation further. Using the identity $\cos(\theta) = \sin\left(\theta + \frac{\pi}{2}\right)$, we can rewrite the equation as $\sin(x) - \sin\left(\frac{2x \pi}{3} + \frac{\pi}{2}\right) = 0$. Applying the identity $\sin(\alpha) - \sin(\beta) = 2\cos\left(\frac{\alpha + \beta}{2}\right)\sin\left(\frac{\alpha - \beta}{2}\right)$, the equation becomes $2\cos\left(\frac{x - \frac{2x \pi}{3} - \frac{\pi}{2}}{2}\right)\sin\left(\frac{x + \frac{2x \pi}{3} + \frac{\pi}{2}}{2}\right) = 0$. Now we have two possibilities for the equation to hold: $\cos\left(\frac{x - \frac{2x \pi}{3} - \frac{\pi}{2}}{2}\right) = 0$ or $\sin\left(\frac{x + \frac{2x \pi}{3} + \frac{\pi}{2}}{2}\right) = 0$. For the first possibility, we have $\frac{x - \frac{2x \pi}{3} - \frac{\pi}{2}}{2} = \frac{\pi}{2} + n\pi$, where $n$ is an integer. Simplifying, we get $x = \frac{7\pi}{6} + 3n\pi$.

For the second possibility, we have $\frac{x + \frac{2x \pi}{3} + \frac{\pi}{2}}{2} = m\pi$, where $m$ is an integer. Simplifying, we get $x = \frac{6\pi}{7} + 3m\pi$. To find the smallest positive solution, we need to find the smallest positive value of $x$ that satisfies either of these equations. Evaluating the solutions, we find that the smallest positive solution is $x = \frac{6\pi}{7}$.

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Lurking variables, such as experience with exercise or past practice of meditation, should be approximately equal for the two groups if random assignment is used. Option D

Randomization ensures that the groups being compared are comparable in terms of any potential confounding factors or hidden variables that can affect the study's conclusion. The researchers can evenly divide these characteristics throughout the groups by randomly allocating people to the programs, which lessens the possibility of skewed outcomes.

As a result, it is possible to compare the benefits of exercise and meditation on stress reduction with more accuracy because any differences between the groups may be more reliably assigned to the intervention itself rather than to unrelated factors.

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