Select the correct formula for the polyatomic ion. you can find a list of common polyatomic ions by clicking here. the formula for the ammonium ion: nh3 nh4 am

Answer:

y = -6x - 4

Step-by-step explanation:

Using two points on the line, (0, -4) and (-1, 2),

\( Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - (-4)}{-1 - 0} = \frac{6}{-1} = -6 \)

m = -6

y-intercept (b) = -4 (the value of y when x = 0)

To write the equation, substitute m = -6, and b = -4 into y = mx + b

y = -6x - 4

The period of the function y = cos (1/4) x is 8π.

Given function is y = cos (1/4) x. We have to find the period of the function.The period of the function can be calculated as T = 2π/|B|, where B is the coefficient of x. Here, B = (1/4).T = 2π/(1/4)T = 8πThe period of the function is 8π.

Explanation:Given function is y = cos (1/4) x. We have to find the period of the function.The general equation of cosine function is given by y = A cos B(x - C) + D, where A, B, C and D are constants. We can see that A = 1, C = 0 and D = 0. Now, we have to find the value of B. We have, B = (1/4)On comparing this value of B with the general equation, we have, B = 2π/T

On further solving, we get the period of the function T = 8π. Hence, the period of the function is 8π.

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Answer: True.

By definition, a stochastic matrix is a square matrix where each entry is a non-negative real number and the sum of each row is 1.

If A is a stochastic matrix and v is a vector in its 1-eigenspace, then we have:

Av = λv

where λ = 1 is the corresponding eigenvalue.

Multiplying both sides by 1/λ = 1, we get:

v = A v

This means that the vector v is also in the range of A, which is a subspace of the vector space R^n.

Since A is a stochastic matrix, the rows of A sum to 1, and therefore the columns of A also sum to 1. This implies that the vector of all 1's, which we denote by u, is also in the range of A.

Since v is a nonzero vector in the 1-eigenspace and u is a nonzero vector in the range of A, the span of v and u is a two-dimensional subspace of R^n.

Moreover, since A is a stochastic matrix, we have:

Au = u

This means that the vector u is also in the 1-eigenspace.

Therefore, the 1-eigenspace of A is a line spanned by the vector u, which is a nonzero vector in the range of A.

if a is a stochastic matrix, then its 1-eigenspace must be a line: True.


A stochastic matrix is a square matrix with non-negative entries where each row sums to one. The 1-eigenspace of a matrix is the set of all eigenvectors with eigenvalue 1.

Let v be an eigenvector of a stochastic matrix A with eigenvalue 1. Then we have Av = 1v.

Multiplying both sides by the transpose of v, we get v^T Av = v^T v.

Since A is a stochastic matrix, its columns sum to 1 and therefore, its transpose has rows that sum to 1. Thus, v^T Av = 1 and v^T v = 1.

This implies that v^T (A-I) = 0, where I is the identity matrix. Since A is stochastic, I is also stochastic and has a unique 1-eigenspace, which is a line spanned by the vector (1,1,....1)^T.

Therefore, v must be a scalar multiple of (1,1,....1)^T, which implies that the 1-eigenspace of A is a line.

Therefore, the statement "if a is a stochastic matrix, then its 1-eigenspace must be a line" is true.

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Hence,  when \(n=10\) the given inequality is true.

What is the inequality?

An inequality is said to be sharp if it cannot be relaxed and still be valid in general.

Here given that,

Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.

So,

\(2(n + 2) < 5(n-1)\)

When

\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)

Hence,  when \(n=10\) the given inequality is true.

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A numerical equation using addition as the only operator, for instance, is 2 + 17.

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Answer:

4 + 4 + 2 = 10

3) 3/10 or 0.3

4) 2/10 = 1/5 or 0.2

5) 4/10 = 2/5 or 0.4

6) 2 + 4 + 0 = 6 so 6/10 = 3/5 or 0.6

i think its this. i hop i helped?

Step-by-step explanation:

Answer:

-7,5

6(-7)-5= -47

-42-5= -47

2(-7)+3(5)=1

-14+15=1

Step-by-step explanation:

Hope this helps and brainliest please and thank you! =D

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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Answer:

Crew: 32

Marty: 48

Blakely: 24

Step-by-step explanation:

I mainly just used guess and check. Crew is 32 years old. So, let's find Marty's age.

32 × 1. 5 = 48

Marty is 48. Now, let's find Blakely's age.

32 × 0.75 = 24

Add all the ages together.

32 + 48 + 24 = 104

Hope that helps.

Crew's age is 32, Marty's age is 48 and Blakey's age is 24

Let :

c represent Crew's age

m represent Marty's age

b represent Blakely's age

From the question, the following can be derived

m = 1.5c

b = 0.75c

m + b + c = 104

Substitute for m and b in the above equation

c + 1.5c + 0.75c = 104

3.25c = 104

divide both sides of the above equation by 3.25

c = 104 / 3.25

c = 32

Substitute for c in the equations that represent  Marty and Blakely's age

m = 1.5c

m = 1.5(32)

m = 48

b = 0.75c

0.75(32)

b = 24

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Answer:

1. 52/3

Step-by-step explanation:

The correct option is 80%

Raul's goal = $5000

Raul's sale = $4000

This week, the percentage of his goal which he has achieved is:

The area of the field in square meters is approximately 679.2431 m².Given: Width (W) of rectangular field in a park = 66.5ftLength (L) of rectangular field in a park = 110ftArea

(A) of rectangular field in a park in square meters.We can solve this question using the following steps;Convert the measurements from feet to meters.Use the formula of the area of a rectangle to find out the answer.1. Converting from feet to meters1ft = 0.3048m

Now we can convert W and L to meters

W = 66.5ft × 0.3048 m/ft ≈ 20.27 m

L = 110ft × 0.3048 m/ft ≈ 33.53 m2. Find the area of the rectangle

The formula for the area of the rectangle is given as;A = L × W

Substituting the known values, we have;

A = 33.53 m × 20.27 mA = 679.2431 m²

Therefore, the area of the field in square meters is approximately 679.2431 m².

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w ≤ 250

This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, the weight, w, must be less than or equal to 250 pounds.

The weight, w, must be less than or equal to 250 pounds. This inequality can be used to represent the maximum weight that a stepladder can hold, which is 250 pounds. In other words, if the weight of the object being placed on the stepladder is greater than 250 pounds, it is not safe to use the stepladder. This inequality helps to ensure the safety of the person using the stepladder, as it limits the amount of weight that can be placed upon it. Furthermore, it also helps to protect the stepladder itself, as it prevents it from being overloaded with too much weight, which could cause it to break or malfunction. In conclusion, the inequality w ≤ 250 represents the maximum weight that a stepladder can safely hold.

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Answer:

Z and 96 are vertical angles so they equal each other. The other angle makes a straight line with the 96-degree angle so subtract from 180 to find the measure of that angle is 84. Set the expression equal to 84 and solve.

Step-by-step explanation:

The number pattern that uses the rule "add 3" is:3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...In this pattern, each term is obtained by adding 3 to the previous term.

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

A number pattern is a sequence of numbers that follows a certain rule or pattern. In this case, the rule is to "add 3" to each term to obtain the next term in the sequence.

The pattern starts with the number 3, and then we add 3 to get the next term, which is 6. Then we add 3 to 6 to get 9, and so on. Each term is found by adding 3 to the previous term.

The pattern continues indefinitely, producing an infinite sequence of numbers. The pattern is also known as an arithmetic sequence or arithmetic progression, because each term is obtained by adding a constant (in this case, 3) to the previous term.

So, the number pattern that uses the rule "add 3" is a sequence of numbers that starts with 3 and adds 3 to each term to obtain the next term in the sequence.

The number pattern that uses the rule "add 3" is:3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...In this pattern, each term is obtained by adding 3 to the previous term.

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Ms Kwena saved R1,839.12 in February, the total income (A) was R25,686, the difference between income and expenditure was R3,069.12, the percentage of income spent on food was approximately 1.55%, and even with a 19% increase in electricity expense, the income (R25,686) is still greater than the new total expenditure (R22,844.88).

We have,

To calculate the answers to the questions based on Table 1:

How much did Ms Kwena save in February?

To determine the amount saved, we need to subtract the total expenditure from the total income:

Savings = Total Income - Total Expenditure

Savings = R24,456 - R22,616.88

Savings = R1,839.12

Ms Kwena saved R1,839.12 in February.

Calculate the value of A, total income.

From Table 1, we can see that A represents different sources of income.

To find the total income (A), we add up all the income sources mentioned:

Total Income (A) = Salary + Interest from investments

Total Income (A) = R24,456 + R1,230

Total Income (A) = R25,686

The total income (A) for Ms Kwena in February is R25,686.

Calculate the difference between the income and the expenditure.

To calculate the difference between income and expenditure, we subtract the total expenditure from the total income:

Difference = Total Income - Total Expenditure

Difference = R25,686 - R22,616.88

Difference = R3,069.12

The difference between the income and the expenditure is R3,069.12.

Calculate the percentage of the income spent on food.

To calculate the percentage of the income spent on food, we divide the amount spent on food by the total income and multiply by 100:

Percentage spent on food = (Amount spent on food / Total Income) * 100

Percentage spent on food = (R399 / R25,686) * 100

Percentage spent on food ≈ 1.55%

Approximately 1.55% of the income was spent on food.

The electricity increased by 19%. All other expenses and the income remained the same. Would the income still be greater than the expenses? Show all your calculations.

Let's calculate the new electricity expense after a 19% increase:

New Electricity Expense = Electricity Expense + (Electricity Expense * 19%)

New Electricity Expense = R1,200 + (R1,200 * 0.19)

New Electricity Expense = R1,200 + R228

New Electricity Expense = R1,428

Now, let's recalculate the total expenditure with the new electricity expense:

New Total Expenditure = Total Expenditure - Electricity Expense + New Electricity Expense

New Total Expenditure = R22,616.88 - R1,200 + R1,428

New Total Expenditure = R22,844.88

The new total expenditure is R22,844.88.

Since the income (R25,686) is still greater than the new total expenditure (R22,844.88), the income would still be greater than the expenses even with the increased electricity expense.

Thus,

Ms Kwena saved R1,839.12 in February, the total income (A) was R25,686, the difference between income and expenditure was R3,069.12, the percentage of income spent on food was approximately 1.55%, and even with a 19% increase in electricity expense, the income (R25,686) is still greater than the new total expenditure (R22,844.88).

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In 286 ways are there to distribute seven identical apples and six identical pears to three distinct people.

There are 7 identical apples and 6 identical pears.

So total number of fruits here = 7+6 = 13 identical fruits

The number of ways to distribute 13 fruits in three distinct people is given by \(=^{13}C_3=286\) ways.

Hence the number of ways is 286.

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

\(f'(x) = lim (h → 0) [f(x + h) - f(x)] /h\)

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression \(( f(x + h) - f(x)) / h\) represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

x = 3

y = 0

Step-by-step explanation:

2x - 4y = 6

-2x - 3y= -6, multiply both sides of the equation by -1:

2x + 3y = 6, then 2x = 6 - 3y

substitute for 2x in first equation:

(6 - 3y) -4y = 6

6 - 3y - 4y = 6

combine like terms:

-7y = 0

y = 0

2x - 0 = 6

divide both sides by 2:

x = 3

Hi there, here's your answer:

Given \(g(x) = -x-4\)

To find \(g(-2)\)

Substituting -2 in place of x:

\(-(-2) - 4 = 2-4 = -2\)

∴ \(g(-2) = -2\)

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The correct steps he could use to solve the quadratic equation are;

Steps 2, 3, 5

We are told that Sergey is solving the quadratic equation given as;

5x² + 20x – 7 = 0.

Now, when solving a quadratic equation, we can employ factorization, completing the square of via the use of quadratic formula.

Now, one step that can be taken is to add 7 to both sides to get;

5x² + 20x = 7

Another step is to factorize the left to get;

x + 2 = ±√(27/5)

Another step that can be taken is to complete the square on the left to get; 5(x² + 4x + 4) = 7 + 20

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The options are;

5(x² + 4x + 4) = –7 + 20 x + 2

x + 2 = ±√(27/5)

5(x² + 4x) = 7

5(x² + 4x + 4) = 7 + 20

5(x² + 4x) = -7

The Length of patio is (32x+8)/4 feet.

It is a structure made adjacent to a house with concrete or gravel. Generally, patio is rectangle or square in shape. An entertainment space that is close to a home, frequently paved, and designed specifically for outdoor dining. 

We can calculate the length from a given value of area or perimeter.A typical living room patio measures roughly 16 by 18 feet. Make sure there is enough space for traffic to move around so that your guests can fit. Allowing a 3-foot clearance around furniture is a good general rule.

In the above question. perimeter of square patio = (32x +8) feet is given.

let, the length of square = a feet

we know, perimeter of square = 4 x length

(32x+8) = 4a

length, a= (32x+8)/ 4 feet

hence, length = (32x+8)/4 feet

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The number of batteries expected to last between three years and one month and three years and seven months, is 12,500 batteries.

Given that the mean shelf life of the flashlight batteries is three years and four months and the standard deviation is three months.

To find the number of batteries that can be expected to last between three years and one month (3.08 years) and three years and seven months (3.58 years), we need to calculate the probability within this range.

First, we convert the given time intervals to years:

Three years and one month = 3.08 years

Three years and seven months = 3.58 years

Next, we calculate the z-scores for these values using the formula:

z = (x - μ) / σ

For 3.08 years:

z1 = (3.08 - 3.33) / 0.25 = -1

For 3.58 years:

z2 = (3.58 - 3.33) / 0.25 = 1

Now, we can use the standard normal distribution table or a calculator to find the probabilities corresponding to these z-scores.

The probability of a value falling between -1 and 1 is the difference between the two probabilities.

Let's assume that the distribution is symmetric, so half of the batteries would fall within this range.

Therefore, the number of batteries that can be expected to last between three years and one month and three years and seven months is approximately:

Number of batteries = 0.5 × Total number of batteries = 0.5 × 25,000 = 12,500 batteries.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Answer:

$55.42

Step-by-step explanation:

Price of supplies = 100%

Percentage of tax = 8.25%

Total percentage = 108.25%

Amount allowed to spend = $60

108.25% = 60

60 / 108.25 = .55427

0.55427x100 = 55.427

Round down

$55.42

If my answer is incorrect, pls correct me!

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-Chetan K

A. The total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. The power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

To calculate the total charge in the device at t = 1 s, we need to integrate the current over time.

Given:

v(0) = 27 sin(44) V

i(0) = 28(1 + e⁻²¹) mA

We'll convert the current to amperes for consistency:

i(0) = 28(1 + e⁻²¹) × 10^(-3) A

We integrate the current from t = 0 to t = 1 s to find the total charge:

q(t) = ∫[0 to t] i(t') dt'

Since q(0) = 0, we can write:

q(t = 1) = ∫[0 to 1] i(t') dt'

Let's perform the integration:

q(t = 1) = ∫[0 to 1] 28(1 + e⁻²¹) × 10⁻³ dt'

= 28(1 + e⁻²¹) × 10⁻³ ∫[0 to 1] dt'

= 28(1 + e⁻²¹) × 10⁻³ [t'] [0 to 1]

= 28(1 + e⁻²¹) × 10⁻³ (1 - 0)

= 28(1 + e⁻²¹) × 10⁻³ mC

Therefore, the total charge in the device at t = 1 s is 28(1 + e⁻²¹) × 10⁻³ mC.

B. To calculate the power consumed by the device at t = 1 s, use the formula:

P(t) = v(t) × i(t)

Given v(0) = 27 sin(44) V and i(0) = 28(1 + e⁻²¹) mA, we need to evaluate v(t) and i(t) at t = 1 s:

v(t = 1) = 27 sin(44)

i(t = 1) = 28(1 + e⁻²¹)

Now we can calculate the power:

P(t = 1) = v(t = 1) × i(t = 1)

= 27 sin(44) × 28(1 + e⁻²¹)

Therefore, the power consumed by the device at t = 1 s is 27 sin(44) × 28(1 + e⁻²¹) mW.

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The complete question goes thus:

The voltage v1) across a device and the current i(t) through it are (0) = 27 sin(44) V and (0) = 28(1 + e-21) mA.

Calculate the total charge in the device at t = 1 s, assuming q(0) = 0. The total charge in the device at t = 1 s is ___ mC.

Calculate the power consumed by the device at t = 1 s. The power consumed by the device at t = 1 s is ___ mW.

The steps for the final expression.

Step 1: (-7 + 3i) / (-6 - 6i)

Step 2: (-7 + 3i)x(-6 + 6i) / (-6 - 6i)x(-6 + 6i)

Step 3: (42 - 42i - 18i - 18) / (36 + 36)

Step 4: (24 - 60i)/72

Step 5: 24/72 - (60/72)i

Step 6: 1/3 - (5/6)i

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(-7 + 3i) / (-6 - 6i)

Rationalize the denominator.

= (-7 + 3i) / (-6 - 6i) x (-6 + 6i) / (-6 + 6i)

= (42 - 42i - 18i - 18) / (36 + 36)

= (24 - 60i) / 72

= 24/72 - (60/72)i

= 1/3 - (5/6)i

Thus,

The final expression is 1/3 - (5/6)i

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In order to find how many drops Mark has left, we must subtract the initial amount he had at the beginning and the amount he gave away.

make both as a common denominator fraction

simplify

he has 4/3 drops of nectar left.

Answer:

y+3 = -2(x)

Step-by-step explanation:

The equation of the line that passes through the points

(5,-5) and (-5,-1)  is  y=-2/5x-3.