Can someone help pls

Answer:

24%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

t = ???

P = 2,200

I = 528

r = 12%

528 = 2,200(t x 1)

t = 528/2,200

t = 0.24

t = 0.24 x 100 = 24%

You're welcome.

The simplified form of √84 is 2√21.

To simplify the given value, first, we need to write down the prime factorization of 84.

The prime factorization of 84 = 2² × 3 × 7

Therefore,

√84 = √(2² × 3 × 7)

Applying the radical rule: √ab = √a × √b, we get

√84 = √2² × √(3 × 7)

Applying the radical rule: √a² = a, for a ≥ 0, we get

√84 = 2 × √(3 × 7)

Multiply the numbers 3 and 7 we get 3 × 7 = 21

√84 = 2 × √21

√84 = 2√21

Therefore, the simplified form of √84 is 2√21.

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Answer: (2,1)

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. A dilation stretches or shrinks the original figure by a Factor (in this case 1/3).

C =(6, 3)

\(C' = \frac{1}{3} (6, 3)=(\frac{6}{3}, \frac{3}{3} )=(2, 1)\)

Answer:

S.I=$3375

Step-by-step explanation:

S.I=PRT/100

S.I=750×15×3/100

S.I=33750/10

S.I=$3375

Answer:

You will need to find the number of measures per beat (it will be a fraction): 7/56=0.125 Then, you multiply that by 104: 0.125x104=13 This means that there will be 13 measures after 104 beats.

Step-by-step explanation:

104 beats is multiplied with the decimal of the fraction of beats and measures which means it has been used with whole numbers

0.125 is not a whole number we know x 100 is 12.5 and we know x4 is 0.5

When we work with the first 4 multiples we can usually spot whether it would take more than 4 to round figure it to 0.5 to add to 12.5

There are 3 digits as decimals and x 100 quantifies.  just by adding 4 to x100 to each of them until a whole number found 12.5 + 0.5 = whole number = 13.

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior: FALSE

As in the description, it is given that a sophomore in high school is equivalent to a tenth-grade or Class-10 student.

So, the above-given statement becomes false as it says that every student is a sophomore but the class has juniors and seniors.

Therefore, the statement "suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior" is FALSE.

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The complete question is given below:

Suppose that every student in a discrete mathematics class of 25 students is a sophomore, a junior, or a senior. Is the following statement true or false:

"The course must have at least five sophomores, or at least 20 juniors, or at least 10 seniors."

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Answer:

None of the above

Step-by-step explanation:

Square root of 2.25 is 1.5, not 1.4

Answer:

none of the above

Step-by-step explanation:

did it on khan

Principal steps in the design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

- Phases are broad groupings of tasks.

- Steps are tasks (work to be performed).

- Techniques are ways to carry out tasks.

- Deliverables are the understanding (or materials) produced during task accomplishment.

- Each phase is itself composed of a series of steps, which rely upon techniques that produce deliverables (specific documents and files that provide understanding about the project).

Principal steps in the Design Phase:

Design Strategy

- Determining proper approach for acquiring

System architecture

- Describing basic hardware, software, and networking

User interface

- Developing system's overall structure, navigation, inputs, outputs, and screens

Database and file specifications

- Specifying data storage structures

Program Design

- Plans and outlines for each program to be written

So,

Principal steps in the Design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

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Answer:

6

Step-by-step explanation:

The slope m between the 2 points is a measure of the rate of change.

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)

m = \(\frac{26-8}{6-3}\) = \(\frac{18}{3}\) = 6

Then rate of change is 6

The correct option is B) 5 minutes.

The width of each class /(class width) is 5 minutes.

The term "class interval" refers to the numerical width of a class in such a frequency distribution.

Some key features regarding the class width/class interval are-

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The complete question is -

The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier.

RelativeTime (in Minutes)/

Frequency

0 but less than 5/0.37

5 but less than 10/0.22

10 but less than 15/0.15

15 but less than 20/0.10

20 but less than 25/0.07

25 but less than 30/0.07

30 or more/0.02

What is the width of each class?

A) 1 minute

B) 5 minutes

c) 2%

d) 100%

Answer:

40

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8

The x- and y-coordinates of the center of mass are; (20, 0)

The center of mass is the location where the sum of the relative position of the masses in a mass distribution is zero. It is the point where force can be applied on the distributed mass without causing a rotation of the system.

The mas of the steel plate = 800 g = 0.8 kg

The base length of the isosceles triangular plate = 20 cm = 0.2 m

The height of the isosceles triangular plate = 30 cm = 0.3 m

Considering a small strip of height, dx and width, I, we get

Area of small strip, dA = I·dx

Density of the plate for a unit thickness, ρ = M/A

Density of the small strip of mass dm = dm/dA

Considering the density of the plate as uniform, we get;

\(\displaystyle {\frac{dm}{dA} =\frac{M}{A}\)

Therefore;

\(\displaystyle {dm=\frac{M}{A}\times dA}\)

The area of the triangular plate, A = (1/2) × 0.2 m × 0.3 m = 0.03 m²

Mass of the plate, M = 0.8 kg

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx}\)

The width of the small strip, I, located at a distance x from the vertex of the triangular plate, using similar triangles, indicates;

\(\dfrac{I}{20} = \dfrac{x}{30}\)

\(I=20\times \dfrac{x}{30} = \dfrac{2}{3} \cdot x\)

Therefore;

\(\displaystyle {dm=\frac{0.8}{0.03}\times I\cdot dx} = \frac{0.8}{0.03}\times \dfrac{2}{3} \cdot x\cdot dx}\)

The center of mass, \(x_{cm}\), can be obtained with the formula; \(\displaystyle {x_{cm} = \dfrac{1}{M} \cdot \int\limits {x} \, dm }\)

Therefore; \(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx }\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \cdot \int\limits {x} \cdot \frac{0.8}{0.03} \cdot \frac{2}{3}\cdot x\, dx } = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx\)

\(\displaystyle {x_{cm} = \dfrac{1}{0.8} \times \frac{0.8}{0.03} \times \frac{2}{3}\cdot \int\limits^3_0 {x^2} \, dx = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0\)

\(\displaystyle {x_{cm} = \frac{200}{9} \cdot \left[\frac{x^3}{3} \right]^{0.3}_0=\frac{200}{9} \times \frac{0.027}{3} =0.2\)

The location of the x-coordinate center of mass, \(x_{cm}\) = 0.2 m = 20 cm from the vertex, which is the same location as the x-coordinate of the centroid of the plate of uniform density.

The plate is symmetrical about the x-axis, therefore, the y-coordinate of the center of mass is along the x-axis, which is \(y_{cm}\) = 0

The coordinate of the center of mass = (0.2, 0)

Part of the question requires the location of the coordinate of the center of mass of the triangular plate

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Answer:

The population mean = sample mean = x`= 67.5

Population standard deviation = 13.369

Sample standard deviation= 4.225

Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

σ=13.360

x = [2; 5; 1] is the solution to the given system of equations 2x1−6x2−x3=−38 −3x1−x2 7x3=−34 −8x1 x2−2x3=−40 using LU factorization with partial pivoting.

To solve the system of equations using LU factorization with partial pivoting, we first write the system in matrix form as:

A*x = b

where A is the coefficient matrix:

A = [2 -6 -1; -3 -1 7; -8 1 -2]

x is the vector of unknowns:

x = [x1; x2; x3]

and b is the vector of constants:

b = [-38; -34; -40]

We then perform LU factorization with partial pivoting on A to get:

P*A = L*U

where P is the permutation matrix that represents the row exchanges done during the factorization, L is the lower triangular matrix with ones on the diagonal, and U is the upper triangular matrix. We can solve the system using the following steps:

Step 1: Perform partial pivoting to interchange the first and third rows of A:

A = [−8 1 −2; −3 −1 7; 2 −6 −1]

P = [0 0 1; 0 1 0; 1 0 0]

Step 2: Compute the LU factorization of A:

L = [1 0 0; −0.25 1 0; −0.25 0.8571 1]

U = [−8 1 −2; 0 −0.75 6.5; 0 0 −3.1429]

Step 3: Solve Ly = Pb for y:

Pb = [−40; −34; −38]

y = [−38; 0.25; 1.2857]

Step 4: Solve Ux = y for x:

x = [2; 5; 1]

Therefore, the solution to the system of equations is:

x1 = 2

x2 = 5

x3 = 1

Note: The LU factorization with partial pivoting is a numerical method for solving systems of linear equations. It is not always necessary to use this method for small systems like the one in this example, but it can be useful for larger systems or for matrices that are difficult to solve using other methods.

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Answer:

3

Step-by-step explanation:

We would be eliminating -9x from the equations.

Thus, we need to make the (-3x) into (-9x) in the first equation.

-9x ÷ -3x = 3

After that, you should be able to solve the equations:

-3x - 2y = 2

Equation 1×3: -9x - 6y = 6

-9x + 3y = 24

Answer:

G(x) = 3x +2

Step-by-step explanation:

I do not know what the problem is asking for, but if it's asking for the function, here you go.

Answer:

shbdhsjdcjsvdbssegehehhehehejrjehe

Answer:

-8

Step-by-step explanation:

Following Order of Operations rules, we evaluate anything within parentheses first:

8-[12-(-4)] = 8 - 16 = -8

Answer:

the answer to your question is true

Answer:

Tue

Step-by-step explanation:

We know that two distinct non-parallel lines will intersect at only one point; therefore, the point of intersection is an ordered pair of numbers that makes both equations in the system true.

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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By using  the sum or difference formula of cosine to solve cos(525°) we get cos(525°) = -0.465

The formula to find the value of cos(A ± B) is given as,

cos(A + B) = cosA cosB − sinA sinBcos(A − B) = cosA cosB + sinA sinB

Here, A = 450° and B = 75°

We can write 525° as the sum of 450° and 75°.

Therefore,cos(525°) = cos(450° + 75°)

Now, we can apply the formula for cos(A + B) and solve it.

cos(A + B) = cosA cosB − sinA sinBcos(450° + 75°) = cos450° cos75° − sin450° sin75°= 0.707 × 0.259 − 0.707 × 0.966= -0.465

Substituting the values in the above equation, we get

cos(525°) = 0.707 × 0.259 − 0.707 × 0.966= -0.465

Thus, cos(525°) = -0.465.

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Answer: the answer is d

Step-by-step explanation:

The area of the stop sign, given the length of one side and the apothem, would be 308. 8 square inches.

To find the area of a regular octagon, we can use the formula:

Area = ( Perimeter × Apothem ) / 2

Initially, we must determine the perimeter of the octagon. Since it is a regular octagon all sides have an identical length. There are 8 sides with length equal to 8 inches; therefore the perimeter is:

= 8 x 8

= 64 inches

The area is;

Area = ( Perimeter × Apothem ) / 2

Area = ( 64 inches × 9.65 inches ) / 2

Area = 617. 6 square inches / 2

Area = 308.8 square inches

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The value of the fraction is given by the equation A = (x - 6) / (x + 2) (3x - 2)

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the equation will be

A = [ 1 / ( x + 2 ) ] - [ 2/ ( 3x - 2 ) ]

On simplifying the equation , we get

Finding the common denominator and LCM , we get

A = [ ( 3x - 2 ) - 2 ( x + 2 ) ] / (x + 2) (3x - 2)

On further simplification , we get

A = ( 3x - 2 - 2x - 4 ) / (x + 2) (3x - 2)

A = ( x - 6 ) / (x + 2) (3x - 2)

Hence , the fraction is A = ( x - 6 ) / (x + 2) (3x - 2)

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Answer:

\(23x-6y\)

Step-by-step explanation:

\(5(3x + 6y) + 4(2x - 9y)\\\\15x+30y+8x-36y\\\\15x+8x+30y-36y\\\\\boxed{23x-6y}\)

Hope this helps.

Answer:

23x-6y

Step-by-step explanation:

5(3x + 6y) + 4(2x - 9y)

15x + 30y + 8x - 36y

23x - 6y