If DG = 10, what is the value of x?
X + 1
2x -15
0
G
0 A 12
OB. 8
O C.
4
cole
O D. 14

In the given rate law, the value of x is 1 if the rate doubles when the concentration of A is doubled, and x is 0 if no change in the rate occurs when the concentration of A is doubled.

The rate law is expressed as rate = \([A]^x\), where [A] represents the concentration of A and x is the exponent that determines the reaction order with respect to A.

If the rate doubles when [A] is doubled, it means that doubling the concentration of A leads to a doubling of the rate. Mathematically, this can be represented as:

\(2 * rate = 2^x * [A]^x\)

Since the rate doubles, we have:

2 rate = rate \(2^x\)

Cancelling out the common factor of rate on both sides, we obtain:

\(2 = 2^x\)

Taking the logarithm of both sides, we have:

log(2) = xlog(2)

Simplifying further, we get: x = 1

Therefore, the value of x is 1 when the rate doubles upon doubling the concentration of A.

On the other hand, if no change in the rate occurs when [A] is doubled, it means that doubling the concentration of A does not affect the rate. In this case, the equation can be written as:

rate =\([A]^x\)

Doubling [A] results in:

rate' = \([A']^x\)

Since the rate remains the same, we have:

rate = rate'

Substituting the expressions, we get:

\([A]^x = [A']^x\)

Taking the x-th root of both sides, we have:

[A] = [A']

Since [A'] is twice the original concentration [A], we can write:

2[A] = [A]

Dividing both sides by [A], we get:2 = 1

This equation is not true, indicating that x cannot be any non-zero value. Therefore, when no change in the rate occurs upon doubling the concentration of A, the value of x is 0.

Learn more about logarithm here: https://brainly.com/question/30226560

#SPJ11

These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

Learn more about mathematical induction here

https://brainly.com/question/29503103

#SPJ11

the distance between x = 1 and y = √2 is √3.

To find the distance between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to find the distance between x = 1 and y = √2.

Let's consider the points (1, 0) and (0, √2) as the coordinates (x1, y1) and (x2, y2), respectively.

Using the distance formula:

Distance = sqrt((0 - 1)^2 + (√2 - 0)^2)

= sqrt((-1)^2 + (√2)^2)

= sqrt(1 + 2)

= sqrt(3)

To know more about coordinate visit:

brainly.com/question/22261383

#SPJ11

Answer:

Yes, this definition is valid. A regular polygon is a polygon where all sides are equal in length and all angles between the sides are also equal. Therefore, stating that a regular polygon has all sides of the same length is an accurate description of the defining characteristic of such a shape.

Answer:

∠ZXY and ZX

XYZ is not found on the diagram, as there is no line going from Z to Y, and YX is not a line segement in the diagram, its a full line.

Answer: zxy and yx for apex

Answer:

\(2 \div \frac{8}{9} = 2 \times \frac{9}{8} = \frac{9}{4} = 2.25\)

I hope I helped you^_^

Answer:

Step-by-step explanation:

Use KCF method for fraction division.

K- Keep the first fraction.

Change the division to multiplication.

Flip the second fraction

2 ÷ 8/9 = \(2 * \dfrac{9}{8}\)

             \(= 1*\dfrac{9}{4}=\dfrac{9}{4}\\\\= 2\dfrac{1}{4}\)

Answer:

+ 81

Step-by-step explanation:

Given

x² - 18x

To complete the square

add ( half the coefficient of the x- term )² to x² - 18x

x² + 2(- 9)x + (- 9)²

= x² - 18x + 81

= (x - 9)² ← perfect square

The length of the road from the main highway to the western edge of the plot of land is 4 units.

The length of the road from the main highway to the eastern edge of the plot of land is 2√5 units.

A coordinate plane, also known as a Cartesian plane or xy-plane, is a two-dimensional plane formed by two perpendicular lines called the x-axis and the y-axis. The point where the two axes intersect is called the origin, usually denoted by the point (0,0).

To determine the length of the road from the main highway to the western edge of the plot of land, we can calculate the horizontal distance between the two points (0, 3) and (4, 3) using the distance formula:

d = √((4-0)² + (3-3)²)

  = √16

  = 4

To determine the length of the road from the main highway to the eastern edge of the plot of land, we first need to find the point where the road intersects with the eastern edge of the plot. From the graph, we can see that the road intersects with the eastern edge of the plot at the point (4, 5). We can then calculate the distance between (0, 3) and (4, 5) using the distance formula:

d = √((4-0)² + (5-3)²)

  = √(16+4)

  = √20

  = 2√5

To know more about coordinate plane visit:

https://brainly.com/question/24157116

#SPJ1

Answer:

Step-by-step explanation:

The exchange rate at the post office is £1 = €1.17. Therefore, to find how many euros is £280, we have to multiply £280 by the exchange rate, which is €1.17.

Let's do this below:\[£280 \times €1.17 = €327.60\]Therefore, the amount of euros that £280 is equivalent to, using the exchange rate at the post office of £1=€1.17, is €327.60. Therefore, you can conclude that £280 is equivalent to €327.60 using this exchange rate.It is important to keep in mind that exchange rates fluctuate constantly, so this exchange rate may not be the same at all times. It is best to check the current exchange rate before making any currency conversions.

Learn more about Euros here,what is the impact of the euro on: (a) interest rates, (b) stock prices, (c) bond investors? (d) exchange rate risk?

https://brainly.com/question/29220837

#SPJ11

Answer:

6 plus 10

Step-by-step explanation:

6 beginning number plus 10 repeatedly

The 90th percentile of x is 70.

What is standard deviation?

A set of values' variance or dispersion is measured by the standard deviation. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given:  Mean = 80, s = 5.

Computing values to standard deviation from mean,

Lower limit = mean - 2s

                  = 80 - 2(5)

                  = 80 - 10

Lower limit = 70

Hence, if x has a normal distribution with mean 80 and standard deviation 5 then the 90th percentile of x is 70.

To know more about standard deviation, click on the link

https://brainly.com/question/12402189

#SPJ4

Answer:

The answer is 5 1/4 liters in 1 hour.

Step-by-step explanation:

If Ben drinks 3 1/2 liters of tea in only 2/3 of a hour, this is how you calculate it. First of all, Ben is not a human being, like who can drink 3 and a half liters of tea in under a hour. To calculate how much Ben drinks in a hour, first multiply both fractions by 3, you will get 10 1/2 liters in 2 hours. Then, divide both fractions by 2, in which you will get 5 1/4 liters in 1 hour. That's your answer!

Answer:

21/4

Step-by-step explanation:

Divide the two numbers

3 1/2 =7/2 as a improper fraction

7/2 divided by 2/3

7/2 times 3/2

21/4 or 5 1/4

The absolute value is:

Work/explanation:

First, we will evaluate 2-7.

It evaluates to -5.

Now, let's find the absolute value of -5 by using these rules:

\(\sf{\mid a\mid=a}\)

\(\sf{\mid-a \mid=a}\)

Similarly, the absolute value of -5 is:

\(\sf{\mid-5\mid=5}\)

Answer:

x < -7

Step-by-step explanation:

3(x-4)-2>5x

3x - 12 - 2 > 5x

3x - 14 > 5x

-2x > 14

x < -7

Answer: x<-7

Step-by-step explanation: 3(x-4)= 3x-12

3x-14>5x

5x-3x=2x

-14>2x

-14/2=-7

-7>x

Answer: 8 bills of each.

Step-by-step explanation:

10x 8=80

5x8=40

1x8=8

=128

Answer:

try -10

Step-by-step explanation:

Answer:50

Step-by-step explanation:

Number or apple pie and pumpkin pie are 32 and 48.

Given that;

Rate of Apple pie = $7

Rate of Pumpkin pie = $6

Total number of pie = 80

Amount earn = $512

Find:

Number or apple pie and pumpkin pie

Computation:

Assume;

Number of apple pie = a

Number of pumpkin pie = b

So,

a + b = 80 ..... Eq1

7a + 6b = 512 ..... Eq2

Eq1 × 7

7a + 7b = 560 ...... Eq3

Eq3 - Eq2

b = 48

Number of apple pie = 32

Number of pumpkin pie = 48

Find out more information about 'Elimination method'

https://brainly.com/question/3580300?referrer=searchResults

A binary tree is a structure in which each node is capable of having two successor nodes, called "left child" and "right child."

In a binary tree, each node can have at most two successor nodes, known as the left child and the right child. These successor nodes branch out from the parent node, forming two distinct paths or branches. The left child represents the left branch, and the right child represents the right branch. This hierarchical structure allows for efficient organization and traversal of data, as each node can connect to two other nodes, creating a branching pattern throughout the tree. The concept of left and right children enables various operations and algorithms to be performed on the binary tree, such as insertion, deletion, searching, and sorting.

To know more about binary tree,

https://brainly.com/question/33461694

#SPJ11

The number of stops that the runner would make is 9.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

Since the runner runs 1 4/5 miles and stops every 1/5 mile. The number of stops will be:

= Total mile / Stop

= 1 4/5 ÷ 1/5

= 9/5 ÷ 1/5.

= 9/5 × 5/1

= 9

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

The significance test result using technology gave a P-value of 0.031. Based on the conventional level of significance of 0.05, this suggests that we reject the null hypothesis and conclude that there is strong evidence to support the alternative hypothesis. In other words, the result is statistically significant, indicating that there is a significant relationship or difference between the variables being tested. Therefore, we can confidently say that the result is not due to chance and provides reliable evidence to support the alternative hypothesis.

You would use a histogram to illustrate data for a variable measured at the interval/ratio scale of measurement.

A histogram is a type of graph that uses adjacent rectangles to depict the distribution of continuous numerical data.

A variable is a feature or property that can take on several different values. In the research context, a variable can be described as anything that may have an effect on the outcome of a study or research project.

Variables can be classified according to the scale of measurement, which is a mathematical categorization of the nature of variables that have been measured. There are four different levels of measurement: nominal, ordinal, interval, and ratio.

Nominal data describes categories that cannot be ordered, while ordinal data describes categories that can be ordered. Interval data measures differences between variables, but there is no true zero point. On the other hand, ratio data has a true zero point and describes the ratio of two variables.

Therefore, histograms are used to illustrate data for a variable measured at the interval/ratio scale of measurement.

Learn more about variable:

brainly.com/question/15078630

#SPJ11

The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

To learn more about trapezoidal rule click here

brainly.com/question/31426104

#SPJ11

With the thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

a) 40% of the flanges exceeds 1.01 millimeters.

b) 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.

c) The mean of flange thickness is 1 millimeters and the variance of flange thickness is 0.01 millimeters^2.

a) To determine the proportion of flanges that exceeds 1.01 millimeters, we need to find the area under the probability density function (pdf) of the thickness that is greater than 1.01 millimeters.

Let's call the random variable X representing the thickness of the flange. The pdf of X is uniform, so it has constant value over the interval [0.95, 1.05]. Therefore, the proportion of flanges that exceeds 1.01 millimeters can be found as follows:

P(X > 1.01) = (1.05 - 1.01) / (1.05 - 0.95) = (1.05 - 1.01) / 0.1 = 0.04 / 0.1 = 0.4

So, 40% of the flanges exceed 1.01 millimeters.

b) To find the thickness that is exceeded by 90% of the flanges, we need to solve for X in the following equation:

P(X > X) = 0.9

Substituting the values for the pdf, we get:

(X - 0.95) / (1.05 - 0.95) = 0.9

Solving for X, we get:

X = 0.95 + 0.9 * (1.05 - 0.95) = 0.95 + 0.9 * 0.1 = 0.95 + 0.09 = 1.04

So, 1.04 millimeters is the thickness that is exceeded by 90% of the flanges.

c) The mean of X can be calculated as follows:

Mean = (0.95 + 1.05) / 2 = 1

The variance of X can be calculated as follows:

Variance = (1.05 - 0.95)^2 / 12 = 0.01

So, the mean and variance of flange thickness are:

Mean = 1 millimeters

Variance = 0.01 millimeters^2

To learn more about distribution click on,

https://brainly.com/question/15277447

#SPJ4

For a sample of 50 customers of last year's customers, the expected number of customers requiring a recall is equals to the 7.5 customers.

The expected value or say mean of a binomial distribution is determined by multiplying the number of trials (n) by the probability of successes (p), that is E(x) = n × p. We have a LaRusso Auto Group of vehicles. Total sales of cars in last year

= 5,000

Number of defective cars in sold cars

= 750

For a random sample of last year's customers, sample size, n= 50

We have to determine the expected number of customers requiring a recall.

Now, the probability of defective cars and customers make a factory recall for dealer correction, p = \(\frac{750}{5000} \) = 0.15

So, the sales of cars in Store follows the binomial distribution with parameters n, p. Using expected value or number formula, E(x) = n×p

= 50 × 0.15 = 7.5

Hence, required value is 7.5 customers.

For more information about expected number, visit :

https://brainly.com/question/30465466

#SPJ4

Answer:1567/1000

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

It says 21 out of 700 are defective

What we're trying to find: "21 is what % of 700"

We can divide 21/700 to get that answer

21/700 = 0.03 which is 3%

We can set a ratio also

21/700 = x/100

If we cross multiply and divide we end up with

700x = 2100

Divide both by 700 and you get 3... 3%