Which operation is NOT closed for polynomials?
es )))
A)
add a trinomial to a trinomial
B)
divide a binomial by a trinomial

Alejandro's current age is 17 years old.

Let's assume that Wilfredo's current age is 42 years. According to the given information, Wilfredo is 8 years older than twice Alejandro's age.

Let's represent Alejandro's age as 'x'. Therefore, twice Alejandro's age would be 2x. According to the information, Wilfredo is 8 years older than twice Alejandro's age, so we can form the equation:

42 = 2x + 8

To find the value of 'x', we can subtract 8 from both sides of the equation:

42 - 8 = 2x

34 = 2x

Next, we can divide both sides of the equation by 2 to solve for 'x':

34/2 = 2x/2

17 = x

Therefore, Alejandro's current age is 17 years old.

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Answer:

\(20\)

Step-by-step explanation:

1. Use rule: a ÷ b/c = a × c/b.

\(10 \times 2\)

2. Simplify.

\(20\)

Therefor, the answer is 20.

Answer:

solve this example and then you will know how to solve your question

Step-by-step explanation:

Example of one**-

Explanation:The equation of a line in

point-slope form is.

where m represents the slope and (x1,y1)

a point on the line

here m=5 and

y+1=5(x+2)

(x1,y1)=(−2,−1)⇒

y−(−1)=5(x−)(−2)⇒y+1=5(x+2)

is equation in point-slope form

distributing and collecting like terms gives another version of the equation.

y+1=5x+10⇒y=5x-9←

in slope-intercept form

Answer:

See answers below

Step-by-step explanation:

First, arrange the given line into   y = mx + b format to find the slope , m

x - 8y-7 = 0

8y = x-7

y = 1/8 x - 7/8     slope = 1/8

   next part you will have to commit to memory

     perpendicular slope to m is   - 1/ m  

             so it will be  - 8

point (5, -4) slope form of the new line is then

 ( y- - 4) = - 8( x - 5 )

y + 4 = - 8x + 40   <=====re-arrange to general form

y + 8x = 36     general form

The solution in the s-domain would involve taking the Laplace transform of the individual terms, accounting for the properties of the Dirac delta function and unit step function. However, without a specific Laplace transform table provided, the exact s-domain solution cannot be determined in this context.

The given problem involves solving a second-order linear ordinary differential equation (ODE) with initial conditions. The ODE is of the form 2(d^2y/dt^2) + y = δ(t), where δ(t) is the Dirac delta function. The initial conditions are y(0) = 1 and y'(0) = 2. To solve this equation, we need to find the solution in the time domain and then transform it into the Laplace or s-domain.

To solve the ODE 2(d^2y/dt^2) + y = δ(t), we first consider the homogeneous solution by setting δ(t) = 0. The homogeneous equation is 2(d^2y/dt^2) + y = 0. The characteristic equation is 2r^2 + 1 = 0, which gives us the roots r = ±i/√2.

The homogeneous solution is given by y_h(t) = c1*cos(t/√2) + c2*sin(t/√2), where c1 and c2 are constants to be determined.

Next, we consider the particular solution for the non-homogeneous term δ(t). The particular solution can be obtained by considering the impulse response of the system. In this case, the impulse response is H(t), which is the derivative of the unit step function u(t).

Therefore, the particular solution is y_p(t) = H(t) = du(t)/dt. Integrating this, we get y_p(t) = u(t) + C, where C is an integration constant.

Applying the initial conditions, y(0) = 1 and y'(0) = 2, we can find the values of the constants. y(0) = c1 = 1 and y'(0) = c2/√2 = 2, which gives us c2 = 2√2.

Thus, the complete solution in the time domain is y(t) = y_h(t) + y_p(t) = cos(t/√2) + 2√2*sin(t/√2) + u(t).

To transform this solution into the Laplace or s-domain, we can use the Laplace transform. However, since the Dirac delta function is involved, the Laplace transform may not be directly applicable. It would require the use of the distributional properties of the Laplace transform to handle the delta function term.

Therefore, the solution in the s-domain would involve taking the Laplace transform of the individual terms, accounting for the properties of the Dirac delta function and unit step function. However, without a specific Laplace transform table provided, the exact s-domain solution cannot be determined in this context.

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There are 7.0874 grams in a quarter of an ounce

In the context of drug measurements, a "quarter" is often used to refer to a quarter of an ounce. One ounce is equal to 28.3495 grams. Therefore, a quarter of an ounce would be:

1/4 x 28.3495 = 7.0874 grams

So there are 7.0874 grams in a quarter of an ounce.

It's important to note that the term "quarter" is not a standard unit of measurement and is often used in the context of illegal drug transactions. It's always a good idea to use standard units of measurement, such as grams or milligrams, when measuring any substance for scientific or medical purposes.

Therefore, one quarter is 7.0874 grams

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Answer:

.

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation:

When you square an entire fraction, both the numerator and detonator get squared as well.

Answer:

its too simple see

\( (\frac{2}{3} ) {}^{2} = \frac{2 {}^{2} }{3 {}^{2} } = \frac{2 \times 2}{3 \times 3} = \frac{4}{9} \\ \)

hope it help.......(•‿•)

The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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In logistic regression, odds play a significant role in understanding the relationship between the predictor variables and the probability of the binary outcome.

In this case, if the probability of Y=1 is 0.60, the odds can be calculated by dividing the probability of success by the probability of failure: odds = 0.60 / (1 - 0.60) = 0.60 / 0.40 = 1.50. Therefore, the odds are 1.50, indicating that the event is 1.5 times more likely to occur than not.

To find the value of P(Y=1) at which the odds are 1, we can set up an equation: 1 = P(Y=1) / (1 - P(Y=1)). Solving this equation, we find P(Y=1) = 0.50. When the probability of Y=1 is 0.50, the odds will be equal to 1, meaning that the event is equally likely to occur or not occur.

Regarding the relationship between the logistic distribution and consumer behavior with reducing marginal utility, it is important to note that the logistic distribution is commonly used to model probabilities between 0 and 1, which is relevant to consumer behavior where probabilities play a role. However, the graph of the logistic distribution itself does not directly explain the concept of reducing marginal utility. The concept of reducing marginal utility is typically represented by a different type of graph, such as a utility function or indifference curves, which depict the diminishing additional satisfaction or utility obtained from consuming additional units of a good or service.

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Answer:

The answer is C 100%

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Cos Milky said it. Milky smart.

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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Answer: ( 0, -2 )

Step-by-step explanation:

y = mx + b

x + 2y = -4

2y = x - 4

_______

2          2

(y = - 2)

Answer:

(-4, 0) (0, -2)

Step-by-step explanation:

I took the K12 test I'm right guaranteed.

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Step-by-step explanation:

The mean is: 48

The median is: 49.5

The mode is: 50

The range is: 51

Suppose the value 60 is added to the data set.

The mean increases by: 1

The median increases by: .5

The mode is: 50

The range is: 51

Answer:

iphone 12 is trash

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Replace x for 8 in the equation and solve it normally

Based on the information provided, the statement that is incorrect is statement 4 because the correct price is $61.5.

Tree A:

Non-employees: 115 x 0.4 (100 - 60 = 40% or 0.4) = 46

Employees: 115 x 0.3 (100 - 70 = 30% or 0.3) = 34.50

Tree B:

Non-employees: 205 x 0.4 (100 - 60 = 40% or 0.4) = 82

Employees: 205 x 0.3 (100 - 70 = 30% or 0.3) = 61.5

Based on this, the false statement is 4 as the price for this tree is $61.5 rather than $73.80.

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The value of ∭w x^2 + y^2 dV, where w= x^2 + y^2 ≤ 49, 0≤z≤8, in cylindrical coordinates is 34304π.

In cylindrical coordinates, the volume element dV is given by r dz dr dθ. Therefore, we can write:

∭w x^2 + y^2 dV = ∫0^8 ∫0^2π ∫0^7 (r^2) r dz dr dθ

= ∫0^8 ∫0^2π [(r^3)/3] dr dθ

= ∫0^8 [(7^3)/3] [2π] dz

= (34304/3)π

Since the given region is a cylinder with radius 7 and height 8, we integrate with respect to z from 0 to 8, with respect to θ from 0 to 2π, and with respect to r from 0 to 7 (the radius of the cylinder).

Evaluating the integral yields (34304/3)π as the final answer.

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Answer:

2

Step-by-step explanation:

: )

Answer:

-----------------

Find each area and then find their difference.

The difference is:

Answer:

the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above

Answer: and Step-by-step explanation:

sin(61) = x/55

55(sin(61)) = x

48.1 = x

Hope this helps!

Answer:

C

Step-by-step explanation:

Givens

L = 18 inches

W = 1 foot = 12 inches

H = 14 inches

Surface Area = 2 * L*w + 2*L * h + 2*w*h

Surface Area = 2 * 18*12 +2*18*14 + 2*12*14 all in linear inches

Surface Area = 432 + 504 + 336                  all in square inches

Surface Area = 1272  in^2

An interval in which the actual sum of the series, obtained using Lagrange erroe bound is; S₅ - 1/13! ≤ S ≤ S₅ + 1/13!

The Lagrange error bound can be used to find an interval in which the actual sum exists as follows;

The Lagrange error bound, with regards to alternating series, states that the error in approximating the sum of an alternating series using a partial sum is less than or equivalent to the absolute value of the next or first omitted term, aₙ ₊ ₁

The absolute value of the next omitted term therefore is |a₆| and when x = 1, |a₆| = |(-1)⁶ × 1⁽⁽²⁾⁽⁶⁾⁺¹⁾ ÷ (2×6 + 1)!| = |1/13!|

An interval for which the actual sum exists is therefore;

|S - S₅| ≤ |R₅| = 1/13!

Which indicates that the interval is; S₅ - 1/13! ≤ S ≤ S₅ + 1/13!

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The value of x is 13.

Given,

Q is the midpoint of P and R.

PR = 9x - 31 and QR = 43

We need to find the value of x.

We have,

<------9x - 31-------------->

P_______Q_______R

                  <-----43------>

Since Q is the midpoint of P and R.

PQ = QR = PR/2

Now,

QR = PR/2

43 = (9x - 31) / 2

Multiplying 2 on both sides

43 x 2 = 9x - 31

86 = 9x - 31

Adding 31 on both sides

86 + 31 = 9x - 31 + 31

117 = 9x

Dividing by 9 into both sides

117/9 = 9x/9

13 = x

x = 13

Thus the value of x is 13.

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Answer: 5 kilometers.

Step-by-step explanation:

Answer:

(a) The amount owed At the end of 1 year is $3,815

(b) The amount owed At the end of 2 years is $4,158.35

Step-by-step explanation:

The given parameters on the loan amount are;

The amount Salma borrows = $3,500

The interest rate at which the loan is borrowed, r = 9% compound interest annually

The assumption are that no payments are made out of the loan

(a) The formula for finding a compound interest loan amount, 'A' is given as follows;

\(A = P\cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}\)

Where;

A = The amount owed

P = The principal (the initial amount borrowed)

r = The interest rate = 9% = 0.09

n = The number of times the interest is paid per unit period, 't' = 1

t = The number of periods  of the loan = Number of years

At the end of 1 year, t = 1, we get;

\(A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 1} = 3815\)

The amount owed, A = $3,815 at the end of 1 year

(b) The amount owed at the end oy 2 years is found by plugging in t = 2 years into the formula for finding the amount owed by the borrower, therefore, we get;

\(A = 3,500 \times \left(1 + \dfrac{0.09}{1} \right)^{1 \times 2} = 4,158.35\)

At the end of 2 years, the amount owed, A = $4,158.35

Answer:

Perimeter : 8

Step-by-step explanation: 2 times 4= 8