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The balanced equation is:

CCl₄ --> C + 2Cl₂

The law of conservation of mass states that when a chemical reaction takes place, the mass of the reactants and products should be equal.

Here is an equation that describes a chemical reaction:

CCl₄ --> C + 2Cl₂

Thus, add 2 atoms of Cl to balance the equation.

Then,

The balanced equation is:

CCl₄ --> C + 2Cl₂

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Given,

The set is {2, {3}}.

The cardinity of the set is the number of elements in the set.

Consider,

A = {2, {3} }

The cardinity of the set is,

Hence, the cardinality of the set is 2.

Answer:

B. x=4

Step-by-step explanation:

I hope this helps!

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

\( \displaystyle {x}^{2} + {y}^{2} = 49\)

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

\( \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} \)

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

\( \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} \)

further simplification is needed:

\( \displaystyle {x}^{2} + {y}^{2} = 49\)

and we are done!

Answer:

What square ?

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

Answer:

IS A

PLEASE MARK ME AS BRAINLIEST

Step-by-step explanation:

Answer:

75 cm²

Step-by-step explanation:

We can solve for the area of the trapezoid by plugging its dimensions into the formula:

\(A=\frac{1}2(b_1 + b_2) \cdot h\)

↓ plugging in the given dimensions

\(A = \frac{1}2(15 + 10) \cdot 6\)

↓ simplifying the addition (inside the parentheses)

\(A = \frac{1}2(25) \cdot 6\)

↓ simplifying the multiplication

\(A=\frac{25}2 \cdot 6\)

\(\boxed{A=75\text{ cm}^2}\)

answer:

To find the area of the trapezoid, we can use the formula:

Area = (base1 + base2) / 2 * height

In this case, the trapezoid has two bases and a height.

Given:

Base 1 = 4 cm

Base 2 = 10 cm

Height = 6 cm

Substituting these values into the formula, we have:

Area = (4 cm + 10 cm) / 2 * 6 cm

= 14 cm / 2 * 6 cm

= 7 cm * 6 cm

= 42 cm²

Therefore, the area of the trapezoid is 42 cm².

Since none of the provided answer choices match 42 cm², it seems that the options given do not include the correct answer.

i answered this like 6 months after it was posted lm.ao

There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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

9) (7 - -6)/(-11- 17) = 13/-28

10) (-5-4)/(-4-3)= -9/-7

11) (15-14)/(17- -20) = 1/37

12) (-7 - -18) /(-1 -11) = 11/-12

Answer:

No.

Step-by-step explanation:

It can be written as 2 81/100 or 281/100 so it is not irrational. An irrational number is a number that cannot be written as a ratio of two numbers

Answer:

no, 2.81 is a rational number.

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic. Every transcendental number is irrational.

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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If G(x) is an intermediate for f(x) and G(2)=-7, then G(4) is −7+f′(4) (option b)

In our problem, we do not know the exact expression for f(x), but we do know that G(x) is an intermediate for f(x). This means that there exist two values a and b such that:

G(a) = f(a)

G(b) = f(b)

Here we know that the function, also know that G(2) = -7, which means that a = 2 and G(a) = G(2) = -7. Now, we need to find the value of b. We can use the fact that G(x) is an intermediate for f(x) to write:

[f(4) - f(2)] / (4 - 2) = f'(c)

where c is some point between 2 and 4. Since G(x) is an intermediate for f(x), we also know that:

G(4) = f(c)

Substituting the value of G(2) = -7 in the above equation, we get:

[f(4) - f(2)] / 2 = f'(c)

Multiplying both sides by 2, we get:

f(4) - f(2) = 2f'(c)

Adding f(2) to both sides, we get:

f(4) = f(2) + 2f'(c)

Now, we can substitute the values of G(2) = -7 and G(4) = f(c) in the above equation to get:

G(4) = -7 + 2f'(c)

This means that the answer is option (B) -7+f′(4).

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The marginal product of labor initially increases from 6 to 9, but then starts to decrease as more labor is added. Therefore, the firm experiences diminishing returns to labor when it hires a third laborer.

Diminishing returns to labor occur when the marginal product of labor (i.e., the additional output produced by adding one more unit of labor) decreases as more labor is added. We can calculate the marginal product of labor for each level of labor as follows:

1 laborer: 6 units of output (marginal product = 6)

2 laborers: 9 units of additional output (total output = 15, marginal product = 9)

3 laborers: 10 units of additional output (total output = 25, marginal product = 10)

4 laborers: 9 units of additional output (total output = 34, marginal product = 9)

The law of diminishing marginal returns is a concept from economics that explains how the marginal output of a production process starts to decrease as the input goes up. It is also used to refer to a point at which output increases at a diminishing rate as more units of labor are added to a production process. This can also be called the point of decreasing marginal productivity.

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a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Answer:

(x/4)+10

Step-by-step explanation:

Quotient=division, so x/4

Increased by 10, so (x/4)+10

The probability that a positive integer less than equal to 24 is a factor of 24 is 1/3.

To solve the question, we need to first list all factors of 24.

Factor of 24 are 1 2 3 4 6 8 12 24.

There are 8 factors of 24 which are less than or equal to 24.

Probability of happening of certain event is calculated as number of favorable events divided by total events.

There are total 24 positive integers.

Favorable events are 8.

So the probability of getting a positive integer less than or equal to 24 which is a factor of 24 is 8/24.

=1/3

Therefore, the probability is 1/3.

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Answer:

\(y = \frac{11}{3}x + -\frac{4}{3}\)

Step-by-step explanation:

\(y = mx + b\\m = \frac{-5 - 6}{-1 - 2} = \frac{-11}{-3} = \frac{11}{3} \\\\y = \frac{11}{3}x + b\\6 = \frac{11}{3}(2) + b\\6 = \frac{22}{3} + b \\6 - \frac{22}{3} = b \\b = -\frac{4}{3}\\\\y = \frac{11}{3}x + -\frac{4}{3}\)

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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The best way to examine an association claim between a categorical variable and a quantitative variable is a scatterplot.

A scatterplot is a graph format that displays individual data points as dots on a Cartesian plane. It is the most suitable choice for examining the association claim between a categorical variable and a quantitative variable.

A scatterplot allows us to visually observe the relationship between the two variables by plotting the data points on the graph. The categorical variable is represented on one axis, while the quantitative variable is represented on the other axis. Each dot on the scatterplot represents an observation or data point.

By examining the distribution of the dots on the scatterplot, we can identify patterns, trends, and any potential association between the categorical and quantitative variables. This helps us understand the relationship, including its direction and strength.

On the other hand, a bar graph is typically used to compare categorical data by displaying the frequencies or percentages of different categories. It is not ideal for examining the association between a categorical variable and a quantitative variable.

Similarly, a pie chart is useful for displaying proportions or percentages of different categories within a whole but does not effectively represent the relationship between a categorical variable and a quantitative variable.

A line graph is commonly used to show trends over time or continuous data. While it can represent a quantitative variable, it may not be the best choice for examining the association claim with a categorical variable.

In summary, a scatterplot is the most appropriate graph format for examining the association claim between a categorical variable and a quantitative variable as it allows for the visual analysis of individual data points and their relationship.

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Answer:

2√3π cm

Step-by-step explanation:

area of circle: πr²

area = A²

A =√ 12π

therefore, A = 2 √ 3π

Answer:

answer: 2* pi * sqrt(3)

Step-by-step explanation:

Area = pi * r^2

12*pi = pi * r^2

sqrt(12) = r

r = 2*sqrt(3)

The diameter of the circle is twice as larger.

d = 2(2sqrt(3))

d = 4 sqrt(3)

the circumference of a circle is d*pi

1/2 the circumference is pi*d/2

The arc length =  1/2 the circumference

The arc length = pi*d/2 = pi * 4*sqrt(3)/2 = 2* pi * sqrt(3)

3 / 0.8 = z / 5.6

To find z, we need to isolate z. How can we do this? Right now, we know z / 5.6 is equal to 3 / 0.8.

This will cancel the divide by 5.6 or the 1/5.6 on the right side to isolate z!

(3 × 5.6) / 0.8 = z

16.8 / 0.8 = z

All we have to is simplify!

z = 21

Answer:

Answer: selling price is 63000

Step-by-step explanation:

Farmer bought seeds of ₹45000

Farmer bought fertilizers of ₹5000

Farmer spent on transportation₹25000

Total c.p. of crops is ₹52500

He got a profit of20%

Selling price =?

S.p. =20/100*52500

=10500

S.p.=c.p.+profit

=52500+10500

=63000

To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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To determine if the bolts vary by more than the required variance, we can conduct a hypothesis test. The null hypothesis (H₀) states that the variance of the bolts is equal to or less than the required variance (σ² ≤ 0.025), while the alternative hypothesis (H₁) states that the variance is greater than the required variance (σ² > 0.025).

Next, we need to determine the critical value(s) of the test statistic. Since we are testing for variance, we will use the chi-square distribution. For a one-tailed test with α = 0.01 and 14 degrees of freedom (n-1), the critical value is 27.488.

Now, we can compare the test statistic to the critical value. The test statistic is calculated as (n-1) * s² / σ², where n is the sample size (15), s² is the sample variance (0.1587²), and σ² is the required variance (0.025).

If the test statistic is greater than the critical value, we reject the null hypothesis and conclude that the bolts vary by more than the required variance. Otherwise, we fail to reject the null hypothesis.

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Step-by-step explanation:

it is geometric  

so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=75 , r=15/75=3/15=1/3

explicit formula: a(n)=75*(1/3)^(n-1)

hope this helps

Answer:

75(1/5)^n-1

Step-by-step explanation:

I just did it.

The quota sampling produces the same advantages for convenience sampling that stratified random sampling produces for probability sampling.

Sampling:

Sampling is defined as the process in statistical analysis where researchers take a predetermined number of observations from a larger population.

Given,

Here we need to find the type of sampling that produces the same advantages for convenience sampling quota sampling.

Before, move on to the result, first we have to know the details about quota sampling and the probability sampling.

Probability sampling defined as the selection of a sample from a determined number of population, when this selection is based on the principle of randomization, that is, random selection or chance.

In contrast to probability sampling, Quota sampling means a non-probability sampling method in which researchers create a sample involving individuals that represent a population.

Based on these definition we have identified that the method that is best suitable answer for this one is stratified random sampling.

Because the stratified random sampling means, is a probability sampling technique in which the total population is divided into homogenous groups to complete the sampling process.

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The volume of the prism is 792 cubic feet.

To find the volume of a rectangular prism, we need to multiply its length, width, and height.

The three-dimensional solid object known as a prism has identical ends and flat sides. The shape of its ends—a rectangular prism or a triangular prism—gives the object its name.

The volume of a prism may be estimated by dividing the area of the base by the height.

Given the dimensions of the prism:

Length = 9 ft

Width = 8 ft

Height = 11 ft

Volume = Length x Width x Height

Volume = 9 ft x 8 ft x 11 ft

Volume = 792 cubic feet

Therefore, the required volume is 792 cubic feet.

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Answer:   200(4t2−4t+3)

Step-by-step explanation:

Factor 800t^2−800t+600

800t^2−800t+600

=200(4t2−4t+3)

Answer:

Hello Kaydie! Assuming you're trying to factor this, the correct answer is \(200\left(4t^2-4t+3\right)\).

Step-by-step explanation:

Since 800 and 600 both can't be taken perfect squares, that means taking out the greatest common factor is the best way to start. 200 is the greatest common factor of all three terms, so take 200 out and write it as 200 multiplying the terms in a parenthesis, which would be \(200\left(4t^2-4t+3\right)\). Since \(4t^2-4t+3\) cannot be simplified any further, that means your answer should be \(200\left(4t^2-4t+3\right)\). Be sure to tell me if factoring the expression was not what the question asked for, and I'll edit my answer. Have a good day!