If three quarters of the pizza provided 12 pieces to the table how many pieces were in the pizza when it was full

Answer:

Step-by-step explanation:

Pa:

14/84 = 2/12

28/84 = 4/12

7/84 = 1/12

35/84 = 5/12

Pb:

1/8

3/8

1/8

3/8

The first five terms of the sequence are 27, 22, 17, 12, and 7.

To find the first five terms of the sequence given by a₁=27 and d=-5,

we can use the formula for the nth term of an arithmetic sequence:

\(a_n=a_1+(n-1)d\)

Substituting the given values, we have:

\(a_n=27+(n-1)(-5)\)

Now, we can calculate the first five terms of the sequence by substituting the values of n from 1 to 5:

\(a_1=27+(1-1)(-5)=27\)

\(a_1=27+(2-1)(-5)=22\)

\(a_1=27+(3-1)(-5)=17\)

\(a_1=27+(4-1)(-5)=12\)

\(a_1=27+(5-1)(-5)=7\)

Therefore, the first five terms of the sequence are 27, 22, 17, 12, and 7.

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Hey there!

d/2 = 2/8

FIRST: you have to CROSS MULTIPLY both of your given numbers

d(8) = 2(2)

d(8) = 8d

2(2) = 4

NEW EQUATION: 8d = 4

SECOND: DIVIDE 8 to BOTH SIDES

8d/8 = 4/8

CANCEL out: 8/8 because that gives you 1

KEEP: 4/8 because it helps you solve for you d-value

NEW EQUATION: d = 4/8

4/8 = d

4/8 = 1/2 = 0.5

Therefore, your answer is: d = 1/2 OR d = 0.5

(NOTE: any of those could work as your “answer” because they are both EQUIVALENT (equal to) to each other)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

We are given an initial value problem in the form dx/dt = [−2.5 1.5; −1.5 0.5]x, with the initial condition x(0) = [3 -1]. Our task is to solve this initial value problem and express the solution in real form.

To solve the initial value problem dx/dt = [−2.5 1.5; −1.5 0.5]x, we need to find the eigenvalues and eigenvectors of the coefficient matrix. By calculating the eigenvalues, we find that λ1 = 1 and λ2 = -1. Next, we find the corresponding eigenvectors. For λ1 = 1, the eigenvector is v1 = [1 -1]. For λ2 = -1, the eigenvector is v2 = [3 1]. The general solution of the initial value problem is x(t) = c1 * exp(λ1 * t) * v1 + c2 * exp(λ2 * t) * v2, where c1 and c2 are constants.

Using the initial condition x(0) = [3 -1], we can solve for the constants c1 and c2. Substituting the values, we get [3 -1] = c1 * v1 + c2 * v2. By solving the system of equations, we find c1 = 2 and c2 = 1. Therefore, the solution of the initial value problem dx/dt = [−2.5 1.5; −1.5 0.5]x, with x(0) = [3 -1], is x(t) = 2 * exp(t) * [1 -1] + exp(-t) * [3 1]. This is the solution expressed in real form.

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Answer:

The correct answer is actually D

Step-by-step explanation:

i am 100% correct because i just answered this

See

Two equally packed snacks means

So if no of friends be 5

Option D

Answer:

0 real roots or 2 complex roots

Step-by-step explanation:

Discriminant: b² - 4ac

If d > 0, then there are 2 real zeros

If d = 0, then there is 1 real zero

If d < 0, then there are 0 real zeros and 2 complex/imaginary zeros

Simply substitute a = 1, b = -5, and c = 40

Our d should equal -135, showing us we have 0 real roots and 2 complex ones.

The total amount of interest earned at the end of 2 years is $60.

1. Calculate the interest earned in one year:

Interest = Principal × Rate × Time

Interest = 600 × 0.05 × 1

Interest = $30

2. Multiply the interest earned in one year by the number of years:

Total interest = 30 × 2

Total interest = $60

The total amount of interest earned at the end of 2 years is $60. This amount was earned by taking the principal amount of $600 and multiplying it by the rate of 5%, and then multiplying that product by the number of years, which in this case is 2. This calculation can be expressed as:

Total interest = Principal × Rate × Time

Total interest = 600 × 0.05 × 2

Total interest = $60

the complete question is :

An account earns simple annual interest. $600 at 5% for 2 years. How much interest will be earned on $600 invested at 5% simple annual interest for 2 years?

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Answer:

choice 3) 50 in

Step-by-step explanation:

A = 625(Pi) in^2

radius = (sq rt 625)(Pi)/Pi

radius = 25

d = 2(radius)

d = 50 in

The given statement "In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth" is True.

What is 8 1/2?8 1/2 is an Italian drama movie which was released in the year 1963. It was directed by Federico Fellini. The movie is widely recognized as a highly influential classic of world cinema. The story is about a renowned filmmaker named Guido Anselmi. He is in the middle of making a film but is struggling to come up with a plot for it. In one scene of the movie, Guido steps onto an elevator that takes on the characteristics of a confession booth.MAIN ANS:True, In one scene in 8 1/2, Guido steps onto an elevator that takes on the characteristics of a confession booth.The elevator in 8 1/2 takes on the characteristics of a confession booth as a result of its setting and characters. The elevator setting in the film emphasizes that Guido is in a confessional box and is confessing his sins. It was a unique way of depicting Guido's guilt. The way the elevator shook and rattled, making him feel like he was in a confessional box, was symbolic of how he felt. It was as if he was being taken to a higher power who was listening to him.

The scene emphasizes the religious imagery in the movie. It allows us to gain insight into Guido's psyche and the struggles he was having. The religious imagery in the movie suggests that Guido is trying to connect with a higher power to overcome his guilt. The scene also shows the extent to which he is willing to go to gain clarity.

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With a running time of 4.5 hours and speeds of 24 mph and 30 mph, respectively, the bus covered a one-way distance of 72 miles.

With a running time of 4.5 hours and speeds of 24 mph outgoing and 30 mph inbound, the bus covered a one-way distance of 72 miles.

As the outgoing and inbound timings were equal, the computation was performed by multiplying the outbound trip's speed by the entire running time, and then dividing the result by two. Therefore, 108 miles are equal to 24 mph times 4.5 hours. The one-way distance is equal to 72 miles when you divide this result in half. When both directions' speeds are known, this calculation can be used to determine the overall distance of a round trip.

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We can see here that statement 4 is the first error in this proof. The reason for statement 6 is not correct because the expression should be what we are proofing.

An angle is a geometric figure formed by two rays or line segments that share a common endpoint called the vertex. The rays or line segments are referred to as the sides of the angle.

The measurement of an angle is typically expressed in degrees, radians, or other angular units. Angles are commonly used to describe the amount of rotation or the inclination between two lines or surfaces.

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Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.

The inequality a^n ≥ b^n reduces to 1 ≥ 1, which is true. Hence, the proposition P(0) is true.

To show that the proposition P(4) is true, where P(n) is "If n>4, then n^2>n", we can use a direct proof.

Direct proof:

Assume n>4. Then, we can write n as n = 4 + k, where k is a positive integer. Substituting this into the inequality n^2 > n, we get:

(4 + k)^2 > 4 + k

Expanding the left-hand side, we get:

16 + 8k + k^2 > 4 + k

Simplifying, we get:

k^2 + 7k + 12 > 0

This inequality is true for all positive values of k, which means that n^2 > n holds for all n > 4. Therefore, the proposition P(4) is true.

To show that P(0) is true, where P(n) is "If a and b are positive integers with a≥b, then a^n≥b^n," we can use a trivial proof.

Trivial proof:

When n = 0, we have a^0 = b^0 = 1 for any positive integers a and b. Therefore, the inequality a^n ≥ b^n reduces to 1 ≥ 1, which is true. Hence, the proposition P(0) is true.

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Answer:

-70

Step-by-step explanation:

you didn't put the function so sorry if it is wrong

Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

0.025 liters

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.025 liters

Step-by-step explanation:

Answer:

(2x+3)(x+1)

Step-by-step explanation:

A P E X

The factorization of the polynomial 2x² + 5x + 3 is (2x + 3)(x + 1).

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

To factorize 2x² + 5x + 3, we need to find two binomials in the form of (ax + b) and (cx + d) such that their product equals the given expression.

Firstly Multiply the coefficient of the first term (2) by the constant term (3) to get 6.

The two factors of 6 that add up to the coefficient of the middle term (5). In this case, the factors are 2 and 3.

Now Rewrite the middle term using the two factors found in the previous step. We have:

2x² + 2x + 3x + 3

We can factorize the first two terms by taking out 2x as a common factor and the last two terms by taking out 3 as a common factor. We get:

2x(x + 1) + 3(x + 1)

(2x + 3)(x + 1)

Therefore, the factorization of 2x² + 5x + 3 is (2x + 3)(x + 1).

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Solution:

Given:

Solve the equation by isolating the variable.

The value of b is 9.

Hoped this helped!

Answer:

18= 2b

b= 18/2

b= 9

Please mark as brainliest

Given:

Given a table of data

Required: Probability that an individual is employed full time, given that he or she is between 18 and 49 years of age.

Explanation:

Let A be the event " The individual is employed full time" and B be the event "He or she is between 18 and 49 years of age".

Then

and

Probability of individuals employed full time and aged between 18 and 49

To find P(A/B).

By using the conditional probability,

Final Answer: Probability that an individual is employed full time, given that he or she is between 18 and 49 years of age is 1114/1854.

In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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Answer:

A

Step-by-step explanation:

B doesn't sound right

C doesn't either

D is just wrong

Answer:

Sure but later

Step-by-step explanation:

Answer:

Ok then post it

Step-by-step explanation:

Answer:

Because she found it improves division.

Step-by-step explanation:

Jeff's claim that any positive number raised to the -1 power is always less than the number is not true.

We will show that Jeff's claim is incorrect by providing a counterexample.

Let's choose a positive number for Part A and then calculate its value when raised to the -1 power in Part B.
Part A: 1/2 (a positive number)
Part B: (1/2)^(-1) = 2

Summary: We chose 1/2 as our positive number for Part A. When we raised it to the -1 power in Part B, we got 2. In this case, the value raised to the -1 power (2) is greater than the original number (1/2). Therefore, Jeff's claim is incorrect.

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When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

Given,

An envelope contains 8 bills;

Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.

When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.

Total  outcomes = 2 x 2 x 2 x 2 = 16

Total possible outcomes, more than 20;

(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases

That is,

The total possible outcomes is 8.

Now,

The probability of bill to be $20 or more = Possible outcome / Total outcome

Probability = 8/16 = 1/2

That is,

When two bills are drawn randomly without replacement,  the probability that their sum is $20 or more is 1/2.

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The time required for the ball to reach the ground is approximately 0.56 seconds, and the horizontal displacement covered by the ball is approximately 1.34 meters.

To find the time required for the ball to reach the ground, we can use the formula for vertical motion. Since the ball is thrown horizontally, the initial vertical velocity is 0 m/s. The height of the table is 1.6 m, so we can use the formula h = (1/2)gt^2, where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time. Plugging in the values, we get 1.6 = (1/2)(9.8)t^2. Solving for t, we find t ≈ 0.56 seconds.

To find the horizontal displacement covered by the ball, we can use the formula d = vt, where d is the displacement, v is the initial horizontal velocity, and t is the time. Plugging in the values, we get d = 2.4 m/s * 0.56 s ≈ 1.34 meters.

Therefore, the time required for the ball to reach the ground is approximately 0.56 seconds and the horizontal displacement covered by the ball is approximately 1.34 meters.

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Answer:

a= -11

b= -1/5

c= 3 1/8

Step-by-step explanation:

a- a negative plus a negative always equal a negative

Answer:

a. -11

b. -1/5

c. -25/8

Step-by-step explanation:

a. -5 - 6

= -11

b. 2/5 - 3/5

= 1/5

c. -4(1/4) - ( 1(1/8))

= -17/4 - 9/8

= -34/8 - 9/8

= -25/8

The system 21+12 +2.13 2 11 - 309+ 3.13 -3 (2:11 +19-33 -1 :

(a) Finding the reduced row echelon form of the augmented matrix: This is the augmented matrix for the given system of linear equations. First, we will perform some basic row operations in order to convert this matrix to its row echelon form. Now, we want to get rid of the entry in the second row and first column. In order to do that, we will subtract the twice the first row from the second row. The second row is already in the correct form. Now, we will subtract 2 times the second row from the first row. This step is not necessary, but it helps simplify the computation for the next step. Next, we will subtract 33 times the second row from the third row.

Now, we want to get rid of the entry in the third row and second column. In order to do that, we will subtract -13 times the second row from the third row. The third row is already in the correct form (leading entry equal to 1).Finally, we will subtract 19 times the third row from the first row. The matrix is now in row echelon form. In order to convert it to reduced row echelon form, we need to get rid of the entry in the first row and second column. We will subtract 5 times the first row from the second row in order to do that. The matrix is now in reduced row echelon form.

(b) Solving the system of equations using the reduced row echelon form: This is the same matrix as before, but we only consider the coefficients and the constants. We can see that the last column is equal to the right-hand side of the equations. Therefore, the third equation is 0 = -16, which is impossible to satisfy. This means that the system of equations is inconsistent. Therefore, there is no solution to the original system of equations.

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    To consider the system MATRIX

How to solve Matrix for this system

(a) Find the reduced row echelon form of the augmented matrix for this system.

The augmented matrix for this system is:

 [2, 1, 2, 16]

 [2, -3, 3, -3]

 [2, 1, -3, -1]

]

We can reduce this matrix to row echelon form as follows:

Swap row 1 and row 2.

[2, -3, 3, -3]

[2, 1, 2, 16]

[2, 1, -3, -1]

Add row 1 to row 2.

[2, -3, 3, -3]

[0, -2, 5, 13]

[2, 1, -3, -1]

Subtract row 1 from row 3.

[2, -3, 3, -3]

[0, -2, 5, 13]

[0, 4, -6, 2]

Swap row 2 and row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, -2, 5, 13]

Add 1/2 * row 2 to row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Divide row 3 by 1.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Add 6*row 3 to row 2.

[2, -3, 3, -3]

[0, 4, 0, 92]

[0, 0, 1, 15]

Subtract 3*row 3 from row 1.

[2, -3, 0, -48]

[0, 4, 0, 92]

[0, 0, 1, 15]

]

Divide row 2 by 4.

[

[2, -3, 0, -48]

[0, 1, 0, 23]

[0, 0, 1, 15]

Add 3*row 2 to row 1.

[2, 0, 0, 36]

[0, 1, 0, 23]

[0, 0, 1, 15]

Now, we have reduced the matrix to row echelon form. The last column of the matrix represents the values of x, y, and z, respectively, in the solution to the system of equations.

Therefore, the solution to the system of equations is x = 36, y = 23, and z = 15.

(b) Solve the original system of equations.

The solution to the original system of equations is x = 36, y = 23, and z = 15.

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Answer:

14.6+4x

Step-by-step explanation:

permimeter=length(2)+width(2)

7.3+x would be the length

so if you multiplied (7.3+x)2, you would get 14.6+2x if you distributive property.

Then if you multiply the width, x, by 2, you get 2x.

So we would get 14.6+2x+2x when we add them together.

And that would be 14.6+4x if you combine like terms.

And that would be your answer.