Seventy-five increased by a number - What Mathematical operation is used?
A- Multiplication
B-Division
C-Subtraction

Answer:

75π / 2

Step-by-step explanation:

a = (∅ / 2π) * πr²

a = (3π/4 / 2π) * π(100)

a = (3/8) * 100π

a = 300/8 * π

a = 75/2 * π

a = 75π / 2

To determine the total charge we first need to calculate how much we pay of taxes. This can be done by using a rule of three:

Then we have:

Hence charge for the tax is $3.8.

Therefore the total charge of the meal is $51.3

The new variance is  0.35.

The variance of a random variable measures how spread out the values are from the mean.

The formula for the variance is Var(X) = E[(X - E[X])²], where E[X] is the expected value (or mean) of X.

If the price of a box of Cheerios Oat Crunch increases by 25 cents, the new mean cost would be $4.25. To find the new variance, we can use the formula Var(aX + b) = a²Var(X), where a is a constant and b is a constant. In this case, a = 1 (because we are not changing the units of measurement) and b = 0.25 (because we are adding 25 cents to the price).

Therefore, the new variance is Var(X + 0.25) = Var(X) = Var(X) x 1² = Var(X) = 0.35.

This means that the variance remains the same even though the price has increased. This is because the variance is a measure of how spread out the values are from the mean, and the mean has shifted by the same amount as the price increase. Therefore, the distance between the values and the new mean is the same as the distance between the values and the old mean, so the spread is unchanged.

The variance is a measure of how spread out a set of data is from its mean. It is calculated as the average of the squared differences between each value and the mean. The formula for variance is Var(X) = E[(X - E(X))²], where E is the expected value or mean of X.

In this case, we are given that the mean cost of a box of Cheerios Oat Crunch is $4.00 and the variance is 0.35. This means that the average squared difference between each box's cost and the mean cost is 0.35.

Now, if the price of each box increases by 25 cents, this means that the new mean cost will be $4.25. However, this does not affect the variance directly. This is because the variance only measures how spread out the data is from the mean, and the mean has shifted by the same amount as the price increase.

To see this more clearly, imagine a set of data that has a mean of 4 and a variance of 0.35. If we add 0.25 to each value, we get a new set of data that has a mean of 4.25. However, the spread of the data is still the same; that is, the distance between each value and the new mean is the same as the distance between each value and the old mean. Therefore, the variance remains the same even though the price has increased.

In summary, the variance measures how spread out a set of data is from its mean, and a shift in the mean does not affect the variance directly.

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Problem 1

A = length times width

A = w(w + 0.6)

A = w^2 + 0.6w

Answer choice D.

Problem 2

16/9 = 42/x

9(42) = 16x

378 = 16x

378/16 = x

23.625 = x

Answer choice C.

Problem 3

f(-5) = 4(-5) + 3

f(-5) = -20 + 3

f(-5) = -17

Answer choice B.

This expression contains 3 terms.

7z is the term with a coefficient.

12.5 is the constant term in the expression.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, w/4 + 12.5 - 7z.

There are 3 terms in this expression.

The term that has a coefficient is 7z.

The constant term in the expression is 12.5.

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Answer:

(-0.39 - 75 + 5)

Step-by-step explanation:

If you multiply a positive by a negative, it becomes a negative. If you multiply a negative by a negative, it becomes positive. Remember that, it will help you later on.

Answer:-70.39

Step-by-step explanation: im  in college

Answer:

20/8 or 5/2

Step-by-step explanation:

5/8 times 4/1

The ATI Capstone Comprehensive Assessment evaluation normally comprises of multiple-choice questions, with 90 to 130 possible answers. Certain versions may also include extra alternative questions kinds, such as fill-in-the-blank or select-all-that-apply

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Answer:

24 x 4 = k x 4

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

since this is a linear Angle, the total sum will be 180. Given Angle is 132. so answer will be:

180-132= 48

Answer:

Step-by-step explanation:

The sum of adjacent angles on a straight line is 180°. i.e. In the figure, we are given is a straight line, then n and 132° are the adjacent angles.

n + 132° = 180

n = 180 - 132

n = 48

Hence, the measure of the unknown angle is 48°.

a) Probability of drawing a number greater than 6. b) (i) 10 × 10 × 26 × 26 × 26 × 10 = 17,576,000 (option A). (ii) 26 × 26 × 10 × 10 × 10 × 10 = 17,576,000 (option A). c) there are 120 different pizzas that can be ordered with one topping.

a) Probability of drawing a number greater than 6: Since there are no numbers greater than 6 in the bag, the probability of drawing a number greater than 6 is 0 (option A).

b) Number of possible passwords for the conditions:

(i) 2 digits followed by 3 letters followed by 1 digit: For this password, we have 10 choices for the first digit, 10 choices for the second digit, 26 choices for each of the three letters, and 10 choices for the last digit. By applying the fundamental counting principle, we multiply these choices together: 10 × 10 × 26 × 26 × 26 × 10 = 17,576,000 (option A).

(ii) 2 letters followed by 4 digits: For this password, we have 26 choices for each of the two letters and 10 choices for each of the four digits. Using the fundamental counting principle, we multiply these choices together: 26 × 26 × 10 × 10 × 10 × 10 = 17,576,000 (option A).

c) Number of different pizzas that can be ordered with one topping: We have 4 sizes of pizza, 3 types of crust, and 10 toppings. To find the number of different pizzas, we multiply the number of choices for each category together: 4 (sizes) × 3 (crusts) × 10 (toppings) = 120 (option B). Therefore, there are 120 different pizzas that can be ordered with one topping.

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You are located 12.00 m north and 5.00 m east of the center of town. Using Pythagorean theorem, your distance from the center of town is 13.00 m, and your angle is 157.38 degrees.

We can use the Pythagorean theorem to find the distance (d) of your location from the center of town:

d = sqrt((12.00 m)^2 + (-5.00 m)^2)

d = sqrt(144.00 m^2 + 25.00 m^2)

d = sqrt(169.00 m^2)

d = 13.00 m

Therefore, you are 13.00 meters away from the center of town.

To find the angle (theta) between the line connecting your location to the center of town and the positive x-axis, we can use the inverse tangent function (tan^-1) as follows:

theta = tan^-1(opp/adj)

theta = tan^-1((-5.00 m)/(12.00 m))

theta = -22.62 degrees

However, since your location is in the second quadrant (negative x and positive y), the angle must be measured from the positive y-axis, not the positive x-axis. Therefore, the actual angle between the line connecting your location to the center of town and the positive y-axis is:

theta = 180 degrees - 22.62 degrees

theta = 157.38 degrees

Therefore, you are 13.00 meters away from the center of town, at an angle of 157.38 degrees from the positive y-axis.

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If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

Given that a number plate can be formed using 2 alphabets which must come in increasing order.

We are required to find the number of plates that can be formed.

Number of total alphabets=26.

The number of plates will be equal to the number of ways in which two alphabets can be arranged.

Combination is the number of ways in which some combinations can be formed. It is expressed as n\(C_{r}\)=n!/r!(n-r)!

Number of license plates=26\(C_{1}\)*25\(C_{1}\)

=26*25

=650 plates

Hence If in a number plate two different alphabets need to be selected then there are 650 such number plates that can be formed in such a way that the alphabets come in increasing order.

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The value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

First we need to find the derivative of f(x) for that we can use the product rule:

we know that \(f(x) = (x^2 - 2)(x^2 - \sqrt2)\) so the first derivative f'(x) is equal to:

\(f'(x) = [(x^2 - 2)(2x)] + [(x^2 - \sqrt2)(2x)]\)

after simplifying the derivative further, we get:

\(f'(x) = 2x(x^2 - \sqrt2 - 2)\)

We need to find the value of x for which the function f(x) =0:

So we can set f'(x) to zero and solve for x to find what is the value of x that satisfies the given equation.

\(2x(x^2 - \sqrt2 - 2) = 0\)

Therefore, either 2x = 0 (i.e., x = 0) or \(x^2 - \sqrt2 - 2\) = 0.

To solve for x in the second equation we can add 2 and \(\sqrt2\) to both sides and then take the square root of both sides:

\(x^2 = 2 + \sqrt2\\x = ^+_- \sqrt{2 + \sqrt2}\)

Therefore, the value(s) of x in which f’(x) = 0 are x = 0 and \(x= ^+_-\sqrt{2+\sqrt2}\) to the hundredth place.

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The elements of a square matrix that do not sit on the leading diagonal are known as the matrix's non-diagonal elements. These elements are positioned off the matrix's main diagonal.

(1)An example of a 4 x 4 matrix that is not diagonalizable is [0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1; 0, 0, 0, 1]. This matrix has an eigenvalue of 1 with an algebraic multiplicity of 3 and a geometric multiplicity of 2.
(2) An example of a 3 x 3 diagonalizable matrix with X = 1 is an eigenvalue of multiplicity larger (or equal) than 2 is[1, 0, 0; 1, 1, 0; 0, 1, 1]. The characteristic polynomial of this matrix is given by (λ − 1)^3, hence the eigenvalue 1 has algebraic multiplicity 3. We can see that the eigenspace corresponding to the eigenvalue 1 has dimension 2, meaning that the matrix is diagonalizable and that the eigenvectors are given by [1; 0; 0], [0; 1; 0], and the linear combination of these two vectors [1; 1; 1].

(3) An example of a 2 × 2 non-diagonalizable matrix with λ = -1 be the only eigenvalue is [1, 1; 0, 1]. This matrix has an algebraic multiplicity of -1 with a geometric multiplicity of 1.

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The Solution:

Given:

We are asked to find the rate of gallons per square foot.

Therefore, the correct answer is 0.623 gallon.

The number of degrees of freedom in a real symmetric matrix is equal to the number of unique entries in the matrix.

If a matrix is n x n, then it has n^2 total entries. However, since it is symmetric, the diagonal entries are repeated, leaving (n^2 + n) / 2 unique entries. Therefore, the number of degrees of freedom in a real symmetric matrix is (n^2 + n) / 2.

The number of degrees of freedom in a real diagonal matrix is simply the number of diagonal entries, which is equal to the dimension of the matrix. Therefore, if the matrix is n x n, the number of degrees of freedom is n.

Finally, the number of degrees of freedom in a real orthogonal matrix is equal to the number of independent variables needed to specify the matrix. An orthogonal matrix is defined as a matrix whose columns are orthonormal, which means that they are unit vectors that are orthogonal (perpendicular) to each other. Since each column must be a unit vector, there are n independent variables needed to specify the first column (the magnitude and direction), n-1 independent variables needed to specify the second column (since it must be orthogonal to the first), and so on. Therefore, the total number of degrees of freedom in a real orthogonal matrix is the sum of the integers from 1 to n-1, which is (n-1)n/2.

Using the hint given in the question, we can add up the number of degrees of freedom in a real diagonal matrix and a real orthogonal matrix to get (n + (n-1)n/2), which simplifies to (n^2 + n)/2, which is the same as the number of degrees of freedom in a real symmetric matrix.

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Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation:

If people show up at rate of 1 person every minute , then the probability that on a random minute , at least 3 people show up is 0.084  .

The number of people showing up at bar in San Diego during any random minute is a Poisson process with an average rate of 1 person per minute.

Let X = number of people who show up during a random minute.

Then X will  follows a Poisson distribution with parameter λ = 1.

So , probability of at least 3 people showing up in a random minute is:

⇒ P(X ≥ 3) = 1 - P(X < 3)

⇒ 1 - (P(X = 0) + P(X = 1) + P(X = 2))

By using Poisson probability mass function for finding P(X = k) for k = 0,1,2   ;

⇒ P(X = k) = (\(e^{-\lambda}\))×(\(\lambda ^{k}\))/k!

Substituting in λ = 1, we get ;

⇒ P(X = 0) = (\(e^{-1}\))×(\(1 ^{0}\))/0! = 1/e  ;

⇒ P(X = 1) =  (\(e^{-1}\))×(\(1 ^{1}\))/1! =  1/e  ;

⇒  P(X = 2) =  (\(e^{-1}\))×(\(1 ^{2}\))/2! = 1/2e  ;

So, the probability of at least 3 people showing up in a random minute is:

⇒  P(X ≥ 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2))

= 1 - (1/e + 1/e + 1/2e) = 1 - (2/e + 1/2e)

= 1 - (5/2e)

= 0.083019 ≈ 0.084  .

Therefore , the required probability is 0.084  .

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The given question is incomplete , the complete question is

Your friend sings every Saturday night at your favorite bar in San Diego. During his show, people show up at the rate of 1 person every minute.

What is the probability that on a random minute, at least 3 people show up ?

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Answer:

option b , t = 4 \(\sqrt{2}\) , u= 7

Step-by-step explanation:

sin 45 = 1/\(\sqrt{2}\)

4 / t =1/\(\sqrt{2}\)

t = 4\(\sqrt{2}\)

u = 4+3 = 7

Answer: We can write a system of equations to model this scenario using the information given.

Let x represent the number of children who played minigolf that day, and let y represent the number of adults who played minigolf that day.

The first equation represents the total number of customers, which is the sum of the number of children and the number of adults.

x + y = 320

The second equation represents the total amount of money earned, which is the product of the number of children playing and the cost per child's game plus the product of the number of adults playing and the cost per adult's game.

7x + 10y = 2900

So the system of equations that models this scenario is:

x + y = 320

7x + 10y = 2900

We can use this system of equations to find the number of children and adults who played minigolf that day, given the total number of customers and total amount of money earned. By solving this system of equations we can find the values for x and y.

Step-by-step explanation:

Answer:

B (169)

Step-by-step explanation:

Answer:

The Equation for lyft is:

4.50x

The Equation for uber is

2.50x+5

Step-by-step explanation:

If you want to determine which one is better then you can just plug in the distance in place of x. For example if it asked you which one was better for 5 miles, uber or lyft you could plug 5 into the equation.

It would look like this

Lyft: 4.50 (5)= 22.5

Uber

2.50 (5) +5= 17.5

If the distance were 5 miles uber would be the better option.

Step-by-step explanation:

Pam and Erin want the gardens to be proportional.

proprtional- equal

Pams garden has a length of 16 and width of 12. To find the area of Pam's garden multiply the length by the width.

16×12= 192

Now that we know the area of Pam's garden, we can set up and equation for Erin's garden. Since they have to be equal we know that Erin's garden should equal 192. Thus we solve for the length by dividing the width from the total.

192÷21=9.14

Answer:

20%

Step-by-step explanation:

580 /2,900 x 100% = 20%

Hope this helps! If not then sorry. :)

Answer:

(9, - 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 180°

a point (x, y ) → (- x, - y ) , thus

(- 9, 3 )→ (9, - 3 )

The COGS margin percentage must be 40%, and the gross profit must be $17,250.

What is COGS margin?

Net sales less cost of goods sold equals gross margin (COGS). In other words, it is the amount of money a company keeps after deducting the direct costs of producing the goods and services it sells.

The income statement is missing, so the given information was:

Revenue =  100,000

COGS =  40,000

Gross Profit = 60,000

Salaries

Marketing

Rent

Earnings Before Tax 23,000

Income Tax 25%

We have to find the net income.

Since COGS are $40,000 and total sales are $100,000, the COGS margin percentage = 40,000 / 100,000 = 40%

Then earnings before taxes are $23,000 and taxes are 25%, then net income = $23,000 x (1 - 25%) = $23,000 x 75% = $17,250

Hence, the COGS margin percentage must be 40%, and the gross profit must be $17,250.

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Answer:

(x+4)(x+3)

Step-by-step explanation:

x^2+4x+3x+12

take x out of each

x(x+4)+3x+12

take 3 out

x(x+4)+3(x+4)

(x+3)(x+4)