Find the polynomial function k(x) of the lowest degree in standard form if it has roots:

x=1,3,2i

Answer:

the answer for this question is D

Answer:

Correct answer is actually B

Step-by-step explanation:

I used someone’s answer with their work shown for my test

Answer:

56.25

Step-by-step explanation:

the answer is fifty six point twenty five

56.25

百分比：9 是 16 的多少百分比？=56.25。

Answer:

x = 5 ; y = 14

Step-by-step explanation:

2x = 10

x = 5

y + 2 = 16

y = 14

The purpose of a variable is to hold and represent a value Option C.

The purpose of a variable in programming or mathematics is to hold and represent a value that can be assigned, changed, and used in various operations or calculations. Variables are fundamental components of programming languages and mathematical equations, enabling flexibility and dynamic behavior in computational tasks.

Option (c) "to hold a value" is the most accurate answer, as variables are used to store data or information in memory locations. This value can be of different types, such as integers, floating-point numbers, characters, or even more complex data structures like arrays or objects.

Variables allow programmers to work with and manipulate data efficiently. By assigning values to variables, we can reference and modify them throughout the program, making it easier to manage and organize information.

Variables also play a crucial role in performing calculations, as mentioned in option (b). We can use variables in mathematical expressions and algorithms to perform arithmetic operations, comparisons, and other computations. By storing values in variables, we can reuse them in multiple calculations and update them as needed.

While option (a) "to assign values" is a specific use case of variables, it is not the sole purpose. Variables not only store values but also facilitate data manipulation, control flow, and the implementation of algorithms and logic.

Option (d) "to hold a constant value" is incorrect because variables, by definition, can hold varying values. Constants, on the other hand, are fixed values that do not change during the execution of a program. Option C is correct.

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We will see that the largest number is 9/12, and Russ ate 9/12 of his pizza, so he is the one that ate most of his pizza.

Here we know that:

So we just need to see which of the given numbers is the largest one.

We can rewrite the fractions as:

2/3 = 0.66

3/5 = 0.6

9/12 = 3/4 = 0.75

The largest number is 0.75, in this way we conclude that Russ is the one that ate more pizza.

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Answer:

866.16??????

Step-by-step explanation:

The amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.

It is required to find the amount the plant earned per man-hour of labor 3 years after it opened.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant. where r is the common ratio between successive terms.

Given:

A manufacturing plant earned 4000 pesos per man-hour of labor.

Rate= 6% per man-hour.

Time=3 years

We can consider the geometric sequence formula

\(A_{n} = A_{1} r^{n-1}\)

\(A_{1}\)= 4000

r = 1.06/1 = 1.06

n = 3

Substitute:

\(A_{3} = 4000(1.06)^{3-1} \\A_{3} = 4000(1.06)^{2}\\A_{3}= 4000(1.1236)\\A_{3} = 4,494.40\)

Therefore, the amount is 4,494.40 plant earned per man-hour of labor 3 years after it opened.

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Answer:  

y − 8 = m(x − 1)

72 minutes

Step-by-step explanation:

Point slope form is:  y − y1 = m(x − x1)

Pick any two points.  I'll pick (1,8) and (2,16).  I will make the first point the (x1,y1) we need for the point slope equation:

y − y1 = m(x − x1)

y − 8 = m(x − 1)

We can calculate the slope, m, by determining the Rise/Run of the line.  The Rise is the change in y for the Run, the change in x.

Change in Run (x) = (2-1) = 1

Change in Rise (y) = (16-8) = 8

Slope (Rise/Run) = 8

m is 8

y − 8 = m(x − 1)

y − 8 = 8(x − 1)

or

y = 8x

We can now predict Heather's time to complete the 9 miles:

y = 8x

y = 8*(9)

y = 72 minutes

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

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Answer:

just an explanation so all in steps

Step-by-step explanation:

The standard deduction amount for taxpayers over 65 years old in 2016 varied depending on their filing status. Here are the standard deduction amounts for 2016:

For Single filers (and Married Filing Separately):

Under 65 years old: $6,300

Over 65 years old: $7,850

For Married Filing Jointly:

Both spouses under 65 years old: $12,600

One spouse over 65 years old: $13,850

Both spouses over 65 years old: $15,100

For Head of Household:

Under 65 years old: $9,300

Over 65 years old: $10,850

These figures are for the standard deduction only and do not include any additional deductions or credits that may apply. It's important to note that tax laws may change, so it's always recommended to consult the official IRS resources or a tax professional for the most up-to-date and accurate information.

Answer:

columnar petty cash book & imprest petty cash book

Step-by-step explanation:

Answer:

3.5 is your answer.

Step-by-step explanation:

2.6  

0.9+

------

3.5

Answer

3.5

Explanation

2.6 + 0.9

3.5

Good Luck ^-^

Answer:

Step-by-step explanation:

So find the middle number or middle two

Then if it’s one number it’s that number

If it’s two add them up and divide

In this case it’s 2:5 and 15

5+15=20

20/2=10

So the median is 10

Answer:

3

Step-by-step explanation:

Answer:

46 tickets

Step-by-step explanation:

$30 - $6.75 = $23.25 ÷ .50 = 46.5

You can't have half a ticket, so 46

Answer: 46 tickets

Step-by-step explanation:£23.25 are left after he has purchased his snack pack. because game tickets cost £0.50 , all you have to do is times 0.5 by the numbers given (46,48,23,75 ) until you get past the money limit which is £23.25

all i did was 46 x 0.5 which was £23

if i were to do 48 x 0.5 the answer i would get is £24, however, as you can see the amount of money greg has left is £23.25, which means 48 tickets is out of his budget

Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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The probability that, out of a random sample of 10 internet users, 6 are concerned about the privacy of their e-mail can be calculated using the binomial probability formula.

The binomial probability formula allows us to calculate the probability of a specific number of successes (concerned internet users) in a given number of trials (random sample of 10 internet users), given the probability of success in a single trial (95% or 0.95 in this case).

Using the binomial probability formula, we can calculate the probability as follows:

\(P(X = 6) = C(n, x) * p^x * (1 - p)^(n - x)\)

P(X = 6) is the probability of exactly 6 internet users being concerned about privacy,

n is the total number of trials (10 in this case),

x is the number of successful trials (6 in this case),

p is the probability of success in a single trial (0.95 in this case), and

C(n, x) is the number of combinations of n items taken x at a time.

Plugging in the values, we have:

\(P(X = 6) = C(10, 6) * 0.95^6 * (1 - 0.95)^(10 - 6)\)

Calculating this expression will give us the probability that exactly 6 out of the 10 internet users in the random sample are concerned about the privacy of their e-mail.

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Matt has 6 dimes coins and 24 nickel coins.

The solution to this math problem is as follows:

Let the number of dimes be x Matt has 4 times as many nickels as dimes therefore the number of nickels is 4x. The combined value of the coins is 180 cents. We know that a nickel is worth 5 cents and a dime is worth 10 cents. Therefore we can write an equation:10x + 5(4x) = 180

Simplifying,10x + 20x = 180

30x = 180

x = 6

Therefore there are 6 dimes and 4 * 6 = 24 nickels.

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Answer:

Step-by-step explanation:

Sale price = 5994

Loss % = 7.5%

Remaining % = 92.5%

Purchase price should be = 5994 / 92.5%

Purchase price will be = 6480

Loss is price will be = 6480 - 5994

Loss = 486

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

The result of the double integral is given as follows:

\(\int \int_R 8x(1 + xy) dA = 937\)

The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.

Considering the regions of x and y, the complete integral in this problem is defined as follows:

\(\int_{0}^{8} \int_{0}^1 8x(1 + xy) dydx\)

Then the inner integral is given as follows:

\(I = \int_{0}^1 8x(1 + xy) dy\)

As the integral is relative to y, the variable x is treated as a constant, hence:

\(I = 8xy + 4x^2y^2|_{y = 0}^{y = 1}\)

Applying the Fundamental Theorem of Calculus, the result of the inner integral is given as follows:

I = 8x(1) + 4x²(1)² - 8x(0) - 4x²(0)²

I = 8x + 4x².

Then the outer integral, which is solved to obtain the result of the complete integral, is solved as follows:

\(O = \int_{0}^{8} 8x + 4x^2 dx\)

Then:

O = 4x² + 1.33x³, from x = 0 to x = 8.

At x = 0, it has a result of 0, hence the result is given as follows:

O = 4(8)² + 1.33(8)³ = 937.

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Answer:

Step-by-step explanation:

56 dollars

Answer:

t/16

•The correct algebraic expression is StartFraction t Over 16 EndFraction

Step-by-step explanation:

Quotient of a number and 16

Let the number=t

Quotient represent division

The expression can be written as t/16

•Replace "a number" with a variable, like t.

•Quotient represents division.

•The correct algebraic expression is StartFraction t Over 16 EndFraction

Answer:

t/16

•The correct algebraic expression is StartFraction t Over 16 EndFraction

Step-by-step explanation:

Quotient of a number and 16

Let the number=t

Quotient represent division

The expression can be written as t/16

•Replace "a number" with a variable, like t.

•Quotient represents division.

•The correct algebraic expression is StartFraction t Over 16 EndFraction

Give the other persn credit to :D

Answer:

It's B

Step-by-step explanation:

Break it into groups

(x^2+3x)+(-5x-15)

Factor it out

x(x+3)-5(x+3)

which equals B

(x+3) (x-5)

Answer:

no solution

Step-by-step explanation:

Your question is in the form:

absval of something

= a NEGATIVE number



The absolute value is always positive. So it can never be negative.

There are no values that x can be that will make this math sentence true.

It's not really a trick question, but the course/teacher/book/program just wants you to recognize that an absolute value CANNOT be negative.

The impulse response is absolutely summable and hence, the system is stable. Therefore, the system is stable.

The given signal x[n] is;

\($$x[n] = u[n] - u[n-3]$$\)

The impulse response of the system is given as:

\($$h[n] = \left(\frac{1}{2}\right)^nu[n]$$\)

Now, the output of a linear time-invariant (LTI) system is given by;

\($$y[n] = x[n] * h[n]$$\)

Where, * represents the convolution operation. Hence, we need to find the convolution of the input signal x[n] with the impulse response of the system h[n].

(a) Convolution of the given input signal x[n] with the given impulse response h[n] is given as:

\($$\begin{aligned} y[n] &= x[n] * h[n] \\ &= \sum_{k=-\infty}^{\infty} x[k]h[n-k] \\ &= \sum_{k=-\infty}^{\infty} (u[k] - u[k-3]) \left(\frac{1}{2}\right)^{n-k} u[n-k] \end{aligned}$$\)

Now, let's break this equation into two parts, one for \($0 \leq n < 3$\) and other for \($n \geq 3$\).

For \($0 \leq n < 3$\), the above equation can be simplified as:

\($$\begin{aligned} y[n] &= \sum_{k=0}^{n} \left(\frac{1}{2}\right)^{n-k} \\ &= \frac{1}{2^n} \sum_{k=0}^{n} \left(\frac{1}{2}\right)^k \\ &= \frac{1}{2^n} \cdot \frac{1 - \left(\frac{1}{2}\right)^{n+1}}{1 - \frac{1}{2}} \\ &= 1 - \frac{1}{2^{n+1}} \end{aligned}$$\)

For\($n \geq 3$\), the above equation can be simplified as:

\($$\begin{aligned} y[n] &= \sum_{k=n-2}^{n} \left(\frac{1}{2}\right)^{n-k} \\ &= \frac{1}{2^3} + \frac{1}{2^2} + \frac{1}{2^1} \\ &= \frac{7}{8} \end{aligned}$$\)

Therefore, the output of the given system is:

\($$y[n] = \begin{cases} 1 - \frac{1}{2^{n+1}} & \text{for } 0 \leq n < 3 \\ \frac{7}{8} & \text{for } n \geq 3 \end{cases}$$\)

(b) The system is said to be stable if the impulse response is absolutely summable, that is,

\($$\sum_{n=-\infty}^{\infty} |h[n]| < \infty$$\)

Now, let's check whether the given system is stable or not:

\($$\sum_{n=-\infty}^{\infty} |h[n]| = \sum_{n=0}^{\infty} \left(\frac{1}{2}\right)^n = \frac{1}{1 - \frac{1}{2}} = 2 < \infty$$\)

Since the above sum is a finite quantity, the impulse response is absolutely summable and hence, the system is stable. Therefore, the system is stable.

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The Taylor polynomial of degree 2 for the function g near 7 is given by P2(x) = -3 + 5(x - 7) - (1/2)(x - 7)^2. This polynomial is obtained by considering the function's value, first derivative, and second derivative at x = 7.

The Taylor polynomial of degree 3 for the function g near 7 is given by P3(x) = -3 + 5(x - 7) - (1/2)(x - 7)^2 - (1/2)(x - 7)^3. This polynomial incorporates the function's value, first, second, and third derivatives at x = 7.

To approximate g(6.9) using P2, we substitute x = 6.9 into P2(x) and get P2(6.9) ≈ -3 + 5(6.9 - 7) - (1/2)(6.9 - 7)^2.

To approximate g(6.9) using P3, we substitute x = 6.9 into P3(x) and get P3(6.9) ≈ -3 + 5(6.9 - 7) - (1/2)(6.9 - 7)^2 - (1/2)(6.9 - 7)^3.

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Answer:

10 minutes

Step-by-step explanation:

We have

1/ hot water faucet + 1/ cold water faucet = 1/6

= 1/15 + 1/c = 1/6

1/c = 1/6 - 1/15

Lowest Common Denominator

= 30

Hence:

1/c = 5 - 2/30

1/c = 3/30

1/c = 1/10

Cross Multiply

c = 10 minutes

Hence, it will take the cold water faucet 10 minutes to fill the tub on its own