Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1 : 4. A sample of methane gas contains 92 hydrogen atoms. How many carbon atoms are in the sample? How many total atoms are in the sample?

The Solution.

Step 1:

We shall state the formula for a slope-intercept equation.

Step 2:

We shall substitute for the values of the parameters in the formula above.

Step 3:

Presentation of the Answer.

The correct answer is 7y = 8x + 24

Given:

Kianas soccer teams ratio of wins to losses is 5:3.

Her team has played 24 games.

To find:

The number of games they won.

Solution:

Let the number of games they won be 5x and the number of games they lost be 3x.

Total number of games is 24.

\(5x+3x=24\)

\(8x=24\)

\(x=\dfrac{24}{8}\)

\(x=3\)

Now, the number of games they won is:

Number of games they won = \(5x\)

                                               = \(5(3)\)

                                               = \(15\)

Therefore, they won 15 games.

Answer:

60

Step-by-step explanation:

(10)(-2)(-3) = ?

The minuses cancel out each other

10*2*3 --> 20* 3

Simplified Math

60

Sum

Given statement 'the transverse axis is the line joining the two vertices of a hyperbola.'

In this question, we need to complete the statement 'the transverse axis is the line joining the two vertices of an(n) ______.'

We know that a hyperbola is a conic section formed by intersecting a right circular cone with a plane at an angle such that both halves of the cone are intersected.

It is nothing but the set of all points (x,y) in a plane such that the difference of the distances between (x,y) and the foci is a positive constant.

In hyperbola, the transverse axis is a line that passes through the center of the hyperbola and has vertices as its endpoints.

Therefore, the transverse axis is the line joining the two vertices of a hyperbola.

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Answer:

it is

Step-by-step explanation:

Answer:

Not Proportional, you're correct

Answer:

The height is 3

Step-by-step explanation:

The formula to find the volume is pi r^2 h/3

So we change the formula: 400pi is 1256.64 rounded

Divide 1256.64 by pi 20^2 and you get 3

The range of the data set would remain the same when the number 9 replaces one of the 2's in the set.

In Mathematics and Statistics, the range of a data set can be calculated by using this mathematical expression;

Range = Highest number - Lowest number

For the initial data set, we have the following range:

Range = 16 - 1

Range = 15.

For the new data set when the number 9 replaces one of the 2's, we have the following range:

Range = 16 - 1

Range = 15.

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Answer:

6.25

Step-by-step explanation:

The probability that exactly one of the next four calls results in a reservation being made is 40.75%

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

A random call to their reservation phone line results in a reservation being made is 0.31

Now, we find

Exactly one call gets resevervation = 4 * (1-0.31)3(0.31)

= 0.4075 = 40.75%

Now we can simulate an experiment by using random numbers from 0 to 100,000 as probability values between 0 and 31,000 are p to reservation otherwise they don't.

Hence, the probability that exactly one of the next four calls results in a reservation being made is 40.75%

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To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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Answer:

B) f(7) = 3

Step-by-step explanation:

a) True

b) False

5 | 1

6 | -2

7 | -5

c) True

d) True

Hopefully this helps!

Brainliest please?

Answer b

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 5 cm, 7 cm, 10 cm

SOLUTION:  

The sum of the lengths of any two sides of a triangle

must be greater than the length of the third side.

5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

Thus, you can form a triangle with side lengths 5 cm,

7 cm, and 10 cm.  

ANSWER:  

Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in.

ANSWER:  

No;

3. 6 m, 14 m, 10 m

ANSWER:  

Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6

4. MULTIPLE CHOICE If the measures of two

sides of a triangle are 5 yards and 9 yards, what is

the least possible measure of the third side if the

measure is an integer?

A 4 yd

B 5 yd

C 6 yd

D 14 yd

The correct option is B.

ANSWER:  

B

PROOF Write a two-column proof.

5. Given:

Given:

Prove: YZ + ZW > XW

Proof:

Statements (Reasons)

1.  (Given)

2. XW = YW (Def. of segments)

3. YZ + ZW > YW ( Inequal. Thm.)

4. YZ + ZW > XW (Substitution Property.)

ANSWER:  

Given:

Prove: YZ + ZW > XW

Proof:

Statements (Reasons)

1.  (Given)

2. XW = YW (Def. of segments)

3. YZ + ZW > YW ( Inequal. Thm.)

4. YZ + ZW > XW (Subst.)

Is it possible to form a triangle with the given

side lengths? If not, explain why not.

6. 4 ft, 9 ft, 15 ft

ANSWER:  

No;

7. 11 mm, 21 mm, 16 mm

ANSWER:  

Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11

8. 9.9 cm, 1.1 cm, 8.2 cm

No;

9. 2.1 in., 4.2 in., 7.9 in.

ANSWER:  

No;

10.  

No;

11.  

ANSWER:  

Yes;

Find the range for the measure of the third side

of a triangle given the measures of two sides.

12. 4 ft, 8 ft

ANSWER:  

4 ft < n < 12 ft

13. 5 m, 11 m

ANSWER:  

6 m < n < 16 m

14. 2.7 cm, 4.2 cm

ANSWER:  

1.5 cm < n < 6.9 cm

15. 3.8 in., 9.2 in.

13.

ANSWER:  

5.4 in. < n < 13 in.

16.  

ANSWER:  

17.  

ANSWER:  

Proof:

Statements (Reasons)

1.  (Given)

2.  (Conv. Isos.  Thm.)

3. BC = BD (Def. of  segments)

4. AB + AD > BD ( Inequal. Thm.)

5. AB + AD > BC (Subst.)

19. Given:

Prove: KJ +KL> LM  

Proof:

Statements (Reasons)

1.  (Given)

2. JL = LM (Def. of  segments)

3. KJ + KL > JL ( Inequality Thm.)

4. KJ + KL > LM (Substitution Property)

ANSWER:  

Proof:

Statements (Reasons)

1.  (Given)

2. JL = LM (Def. of  segments)

3. KJ + KL > JL ( Inequal. Thm.)

4. KJ + KL > LM (Subst.)

SENSE-MAKING Determine the possible

values of x.

20.  

Notice that  is always true for any whole  

number measure for x.The range of values that

would be true for the other two inequalities is

and  , which can be written as

.

ANSWER:  

6 < x < 17

21.  

ANSWER:  

22. TRAVEL Keyan wants to take the most efficient

route from his hotel to the hockey game at The

Sportsplex. He can either take Highway 521 or

take Highway 3 and Route 11 from his hotel to the

arena.

a. Which of these two possible routes is the shorter?

Explain your reasoning.

b. Suppose Keyan always drives the speed l

Is it possible to form a triangle with the given

side lengths? If not, explain why not.

1. 5 cm, 7 cm, 10 cm

ANSWER:  

Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in.

ANSWER:  

No;

3. 6 m, 14 m, 10 m

ANSWER:  

Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6

4. MULTIPLE CHOICE If the measures of two

sides of a triangle are 5 yards and 9 yards, what is

the least possible measure of the third side if the

measure is an integer?

A 4 yd

B 5 yd

C 6 yd

D 14 yd

ANSWER:  

B

Given:

Prove: YZ + ZW > XW

Proof:

Statements (Reasons)

1.  (Given)

2. XW = YW (Def. of segments)

3. YZ + ZW > YW ( Inequal. Thm.)

4. YZ + ZW > XW (Subst.)

Is it possible to form a triangle with the given

side lengths? If not, explain why not.

6. 4 ft, 9 ft, 15 ft

ANSWER:  

No;

7. 11 mm, 21 mm, 16 mm

SOLUTION:  

ANSWER:  

Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11

8. 9.9 cm, 1.1 cm, 8.2 cm

SOLUTION:  

T

No;

9. 2.1 in., 4.2 in., 7.9 in.

No;

10.  

ANSWER:  

No;

11.  

.  

ANSWER:  

Yes;

Find the range for the measure of the third side

of a triangle given the measures of two sides.

12. 4 ft, 8 ft

4 ft < n < 12 ft

13. 5 m, 11 m

6 m < n < 16 m

14. 2.7 cm, 4.2 cm

ANSWER:  

1.5 cm < n < 6.9 cm

15. 3.8 in., 9.2 in.

13.

ANSWER:  

5.4 in. < n < 13 in.

16.  

Proof:

Statements (Reasons)

1.  (Given)

2. JL = LM (Def. of  segments)

3. KJ + KL > JL ( Inequal. Thm.)

4. KJ + KL > LM (Subst.)

SENSE-MAKING Determine the possible

values of x.

20.  

SOLUTION:  

Set up and solve each of the three triangle

inequalities.

ANSWER:  

6 < x < 17

21.  

ANSWER:  

Yes; 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5

2. 3 in., 4 in., 8 in.

ANSWER:  

No;

3. 6 m, 14 m, 10 m

ANSWER:  

Yes; 6 + 14 > 10, 6 + 10 > 14, and 10 + 14 > 6

4. MULTIPLE CHOICE If the measures of two

sides of a triangle are 5 yards and 9 yards, what is

the least possible measure of the third side if the

measure is an integer?

A 4 yd

B 5 yd

C 6 yd

D 14 yd

The correct option is B.

ANSWER:  

B

ANSWER:  

No;

7. 11 mm, 21 mm, 16 mm

SOLUTION:  

ANSWER:  

Yes; 11 + 21 > 16, 11 + 16 > 21, and 16 + 21 > 11

8. 9.9 cm, 1.1 cm, 8.2 cm

ANSWER:  

No;

9. 2.1 in., 4.2 in., 7.9 in.

Answer:

7 5/8 km total

Step-by-step explanation:

4/8 + 7/8 + 12/8 + 12/8 + 12/8 + 14/8 = 61/8

61/8 = 7 5/8

I would appreciate Brainliest, but no worries.

The closest answer to the p-value for this result is 0.0124.The p-value for this result, we need to first calculate the test statistic. Since we are testing a proportion, we will use the z-test.

The formula for the z-test is:
z = (p - P) / sqrt(P * (1 - P) / n)
where p is the sample proportion, P is the hypothesized population proportion, n is the sample size, and sqrt is the square root function. In this case, our sample size is n = 120, and our hypothesized population proportion is P = 0.85. Our sample proportion is p = 94/120 = 0.783.

Plugging in these values, we get:
z = (0.783 - 0.85) / sqrt(0.85 * 0.15 / 120) = -2.24
The p-value, we need to look up the area to the left of this value on the standard normal distribution. Using a table or calculator, we can find that this area is approximately 0.0124.

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Answer:

A

Step-by-step explanation:

To show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have two circles:

Circle A has a center of (2, 3) and a radius of 5

Circle B has a center of (1, 4) and a radius of 10

The standard circle's equation can be written as:

(x - h)² + (y - k)² = r²

The equation for circle A:

(x - 2)² + (y - 3)² = 5²

The equation for circle B:

(x - 1)² + (y - 4)² = 10²

To show that circle A is similar to circle B:

It is required to perform the geometric transformation:

Dilate circle A by a scale factor of 2.

The radius of circle A is 5 units and after dilation by a scale factor of 2, the radius of the circle becomes 10 which is the radius of circle B.

Thus, to show that circle A is similar to circle B the step required is Dilate circle A by a scale factor of 2 option (A) is correct.

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The given expression \(\rm 12x^2-13x+3\)equivalent to (3x - 1)(4x - 3) option second is correct.

A quadratic expression is a second-degree algebraic expression represented by the:

\(\rm f(x)=ax^2+bx+c\) ........(1)

Where a, b, and c are the constants and  

We have the quadratic expression:

\(\rm f(x)=12x^2-13x+3\)

\(\rm f(x)=12x^2-9x-4x+3\)  (we can write -13x as a sum of -9x and -4x)

After taking common term, we get:

\(\rm f(x)=3x(4x-3)-(4x-3)\)

\(\rm f(x)=(4x-3)(3x-1)\)  or

\(\rm f(x)=(3x-1)(4x-3)\)

Thus, the given expression \(\rm 12x^2-13x+3\)  is equivalent to (3x - 1)(4x - 3).

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Answer:

$138

Step-by-step explanation:

The price increased by $18

Step 1

Given;

Required; To find f(x) if x=1

Step 2

A) Substitute x=1 in f(x)

Answer;

Step 3

C) Using the information in the previous​ step, list the​ point(s) on the graph of​ f, where x=1.

Answers;

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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The maximum value of xTAx where the maximum is taken over all x that are the unit eigenvectors of A is option (c) 3.

To find the eigenvectors corresponding to each eigenvalue, we solve the system of linear equations (A - λI)x = 0. For λ₁ = 3, we have:

[0 11 2; 0 0 0; 0 0 0][x₁; x₂; x₃] = [0; 0; 0]

This system has infinitely many solutions, but we can choose a unit vector by setting x₁ = 0, x₂ = 1/√(122), and x₃ = -11/√(122). Similarly, for λ₂ and λ₃, we get:

x₂ = [1/√(34); -3/√(34); 0] and x₃ = [1/√(34); 3/√(34); 0]

To maximize this expression subject to the condition |c₁|² + |c₂|² + |c₃|² = 1, we can use the method of Lagrange multipliers. Let f(c₁, c₂, c₃) = c₁²λ₁ + c₂²λ₂ + c₃²λ₃ and g(c₁, c₂, c₃) = |c₁|² + |c₂|² + |c₃|² - 1. Then the critical points of f subject to the constraint g = 0 satisfy the equations:

∂f/∂c₁ = 2c₁λ₁ = λ₁c₁

∂f/∂c₂ = 2c₂λ₂ = λ₂c₂

∂f/∂c₃ = 2c₃λ₃ = λ₃c₃

and

∂g/∂c₁ = 2|c₁|sign(c₁) = 2c₁/|c₁| = 2c₁

∂g/∂c₂ = 2|c₂|sign(c₂) = 2c₂/|c₂| = 2c₂

∂g/∂c₃ = 2|c₃|sign(c₃) = 2c₃/|c₃| = 2c₃

where sign(c) is the sign function of c, which is 1 if c > 0, -1 if c < 0, and 0 if c = 0.

Solving these equations, we get:

λ₁c₁ = 2c₁, λ₂c₂ = 2c₂, λ₃c₃ = 2c₄, |c₁|² + |c₂|² + |c₃|² = 1

Since λ₁ = 3, λ₂ > 3, and λ₃ < 3, the maximum value of xTAx is attained when c₁ = 1 and c₂ = c₃ = 0, which corresponds to the unit eigenvector x1 = [0; 1/√(122); -11/√(122)]. Therefore, the maximum value of xTAx is:

x₁TAx₁ = 3(1)² + λ₂(0)² + λ₃(0)² = 3

Therefore, the correct answer to the problem is (c) 3.

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Answer:

y = -6 x I think

Step-by-step explanation:

please give brainliest I tryed

Step-by-step explanation:

round it up to tenth yourself please

angle E = 59

f = 17.9567

d = 28.946

Answer:

It’s B, 18

Step-by-step explanation:

There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.The prime numbers are:5, 7, 11, 13Product of two of the prime numbers are:35, 55, 65, 77, 85, 91, 115, 143, 165, 385

Product of three of the prime numbers is:385 Product of all the prime numbers is: 5005There are 15 positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once. Prime numbers are numbers that are only divisible by 1 and itself. 5, 7, 11, and 13 are prime numbers.

The question is asking to find the number of positive integers that can be expressed as a product of two or more of these prime numbers without including the same prime factor more than once. The products of two prime numbers are: 5 x 7 = 35, 5 x 11 = 55, 5 x 13 = 65, 7 x 11 = 77, 7 x 13 = 91, 11 x 13 = 143. There are six of these products. The products of three prime numbers is 5 x 7 x 11 = 385. There is only one of this product. There are fifteen possible positive integers that can be expressed as a product of two or more of the prime numbers 5, 7, 11, and 13 if no one product is to include the same prime factor more than once.

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Answer:

a.

Step-by-step explanation:

Answer:

the correct answer is A

Step-by-step explanation:

i put B because thats what the first user said it was  and i got it wrong on my quiz, the quiz shows the corret answer is A

Answer:

B

Step-by-step explanation:

Formula

SA = 2*L*W + 2*L*H + 2*H*W

Givens

L = 14

W = 7

H = 7

Solution

SA = 2*14*7 + 2*14*7 + 2*7*7

SA = 196 + 196 + 98

SA = 490

Answer:

A)  8, -6, 13

Step-by-step explanation:

See attached image.

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

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