Use the given transfer function and identify the correct steady-state response yss(t) to the given input function f(t). t(s)=y(s)f(s)=1s2+10s+100, f(t)=16 sin 5t

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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Answer: To subtract mixed fractions with different denominators, you need to convert the mixed fractions to equivalent fractions with a common denominator. Once the fractions have a common denominator, you can simply subtract the numerators and keep the denominator the same.

Example:

the difference of 2 1/3 and 1 3/4 is 5/12.

Step-by-step explanation:

First, convert 2 1/3 to an improper fraction: 2 1/3 = 7/3

Next, convert 1 3/4 to an improper fraction: 1 3/4 = 7/4

Now, both fractions have the same denominator, 3. So, you can subtract the numerators:

7/3 - 7/4 = (7 * 4 - 7 * 3) / (3 * 4) = 28/12 - 21/12 = 7/12

Finally, convert the answer back to a mixed fraction: 7/12 = 7 ÷ 12 =  5/12.

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 ((22•3x2) +  52x) -  9

STEP

2

:

Trying to factor by splitting the middle term

2.1     Factoring  12x2+52x-9  

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +52x  its coefficient is  52 .

The last term, "the constant", is  -9  

Step-1 : Multiply the coefficient of the first term by the constant   12 • -9 = -108  

Step-2 : Find two factors of  -108  whose sum equals the coefficient of the middle term, which is   52 .

     -108    +    1    =    -107  

     -54    +    2    =    -52  

     -36    +    3    =    -33  

     -27    +    4    =    -23  

     -18    +    6    =    -12  

     -12    +    9    =    -3  

     -9    +    12    =    3  

     -6    +    18    =    12  

     -4    +    27    =    23  

     -3    +    36    =    33  

     -2    +    54    =    52    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  54  

                    12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x-1)

             Add up the last 2 terms, pulling out common factors :

                   9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

                   (2x+9)  •  (6x-1)

            Which is the desired factorization

HOPE IT HELPS! :))

The parent function of the transformation is given as,

1) y = x + 5

The parent function is being translated horizontally to the left by 5 units.

2) y = 3/8 x

The parent function is horizontally stretched by a factor of 8/3.

3) y= -x-2

The parent function is reflected across the y-axis and then translated horizontally to the right by 2units.

4) y=6x+1

The parent function is shrinked horizontally by the factor of 1/6 and translated to the left by 1 unit.

5) y = x-11

The parent function is translated to the right by 11 units.

6) y=8x

The parent function is shrinked horizontally by the factor of 1/8.

7) y = -1/3x

The parent function is stretched horizontally by a factor of 3, then reflected across the y-axis.

The function find(A) finds indices and * 2 points values of nonzero elements of an array A, it is true.

The first statement, "Relational operators can be applied to * 2 points only one size vectors," is not clear. It seems to be an incomplete sentence. Relational operators can be applied to vectors of any size, not just vectors with a single size.

Regarding the second statement, let's analyze it:

If `a = [1:5]`, it means that `a` is a vector with elements `[1, 2, 3, 4, 5]`.

If `b = 5 - a`, it means that each element of `b` is obtained by subtracting the corresponding element of `a` from 5. Therefore, `b` would be `[4, 3, 2, 1, 0]`.

Now, let's evaluate the given options:

- "a = 0 23 45" is false because the elements of `a` are `[1, 2, 3, 4, 5]`, not `0, 23, 45`.

- "b = 43210" is true because the elements of `b` are indeed `[4, 3, 2, 1, 0]`.

Therefore, the correct statement is: "a = 0 23 45" is false, and "b = 43210" is true.

The `find(A)` function in some programming languages, such as MATLAB or Octave, returns the indices of nonzero elements in the array `A`. It allows you to identify the positions of non-zero elements and access their values.

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Answer:

Because 4 is a perfect square

Step-by-step explanation:

When simplifying a radical, you have to look for perfect squares. 4 is a perfect square but x is not. Variables are only perfect squares if they have even numbered exponents so the x has to stay in the radical.    

Answer:

The amount that James will raise for the charity is $865.

Step-by-step explanation:

Total distance to cover = 5 miles.

He had received $800 in fixed pledges, and raises $13 for every mile he walks. Let the mile he walks be represented by d, and the amount he would raise by A.

So that,

A = $(13d + 800)

But, d = 5 miles.

thus,

A = $(13 x 5 + 800)

   = $865

Thus,

amount he would raise = $865

James would be able to raise $865 for the charity after the walk.

The given function is as follows:

\($$f(x) = \log_{7}\left(\frac{x - 2}{x + 3}\right)$$\)

The domain of the function is the set of values of x for which the expression inside the log is positive and \($x \neq -3$\).

Therefore, we have:

\(\[\frac{x-2}{x+3} > 0\]\)

There are three critical points:

\($x=-3, x=2,$ and $x=\infty.$\)

The domain consists of the regions where the inequality \($\frac{x-2}{x+3} > 0$\) holds.We will use a number line to test each of these intervals and find where the inequality is satisfied.

Test $x=-4$; $\frac{(-4)-2}{(-4)+3} = -\frac{2}{1} = -2 < 0,$ so this interval is not in the domain.

Test $x=-1;$ $\frac{(-1)-2}{(-1)+3} = -\frac{3}{2} < 0,$ so this interval is in the domain.

Test \($x=4$; $\frac{(4)-2}{(4)+3} = \frac{2}{7} > 0,$\) so this interval is in the domain.The domain of the function \($f(x)$ is given by $x\in (-\infty, -3) \cup (2, \infty)$.\)

Hence, the answer is that the domain of the function is given by\($x\in (-\infty, -3) \cup (2, \infty)$\) .

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Answer:

a = 2

b = 3

c = 2³ or 8

Step-by-step explanation:

Exponent Rule: \(\frac{b^m}{b^n} =b^{m-n}\)

log₂(4) = 2 or 2² = 4

2⁵/2² = 2³

2³ = 8

Answer:

a=2

b=3

c=8

Step-by-step explanation:

a=2, 2^a must equal 4

b=3, 2^b must equal 8 which is answer to 2⁵/4

c=8, the answer to 2⁵/4, and

Answer:

75

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

231864 is the goat, creds to him.

have a great day :D

Answer:

Kim and Zara are correct.

Step-by-step explanation:

Correct simplification:

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

-3x + (-12) - 10x + 12

-3x - 12 - 10x + 12

- 13x

Answer:

B

So convert the number over 200

Answer:

the area is 1235

Step-by-step explanation:

Answer:

2714.33 sq in

explanation-

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

3q + 7 = 40

Step-by-step explanation:

Answer:

the number less than -1.5 would be 0-1 so it would be A)

Answer:

-4 +4 =0

Step-by-step explanation:

The sum of a number and its' additive inverse is 0

The additive inverse of -4 is 4

-4 +4 =0

Measure of segment DC is 24

Measure of segment C'B' is 16

Measure of segment AD is 10

Measure of segment A'B' is 7

Measure of angle C is 49 degrees

Measure of angle A' is 111 degrees

Measure of angle D' is 65 degrees

Measure of angle B' is 135 degrees

Measure of angle A is 111 degrees

To determine the measures, we need to know the properties of parallelograms, we have;

We have that the two parallelograms are equal

Now, trace the angles from one to other

Angle A = 360 - (49 + 135 + 65)

add the values, we have;

Angle A = 360 -249

Angle A =111 degrees

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Probability that customer buy parsley given buy any of two herb  

                =   0.5714

What is probability in math?

Parsley ( 0.4 , 0.6 )

buy  = B ∩ P = 0.08

Don't buy = DB ∩ P = 0.12

Cilantro = ( 0.15 , 0.85 )

buy  = B ∩ C = 0.06

Don't buy = DB ∩ C = 0.34

Don't buy anything = DB = 0.4

P( Buy anything ) = P(B∩P) + P( B ∩ C )

                          = 0.08 + 0.06 = 0.14

Now, P( P/B) = P( P ∩ B)/P(B)

                    = 0.08/0.14  = 4/7  = 0.5714

Hence, probability that customer buy parsley given buy any of two herb

                                          =   0.5714

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Given:

The American marriage rate R,  x years after 1960 is defined by the function

\(R(x)=-0.0065x^2 +0.23x + 8.47\)

To find:

The year in which the marriage rate is the highest.

Solution:

We have,

\(R(x)=-0.0065x^2 +0.23x + 8.47\)

It is a quadratic function with negative leading coefficient. So, it is a downward parabola and vertex of downward parabola is maximum.

If a quadratic function is \(f(x)=ax^2+bx+c\), then

\(Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)\)

In the given function,

\(a=-0.0065,b=0.23,c=8.47\)

Now, x-coordinate of vertex is

\(-\dfrac{b}{2a}=-\dfrac{0.23}{2(-0.0065)}\)

\(-\dfrac{b}{2a}=-\dfrac{0.23}{-0.013}\)

\(-\dfrac{b}{2a}\approx 17.69\)

It means the marriage rate is highest after 17 years of 1960.

\(1960+17=1977\)

Therefore, the marriage rate is highest in year 1977.

The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

Tiana scored 20 points.

Step-by-step explanation:

Answer: Tiana scored 20 points.

Step-by-step explanation:

44-20=24

If Jenny scored 4 more points than Tiana then Jenny scored 24 and Tiana scored 20.

students table, sponsors table, mentors table, and events table

The tables you should include are the students table, sponsors table, mentors table, and events table. You don't need to include the students' parents table.

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Answer:

The probability is 1/2 because 3/6 numbers are even.

Step-by-step explanation:

Answer: $36.8625

Step-by-step explanation:

From the question, we are informed that Brenda went to Fiesta Mart and bought 1 ¼ pounds of deli meat at $7 a pound and 9 ¾ pounds of rice at $0.45 per pound. The total amount that we spent will be:

= ($7 × 1.25) + ($0.45 × 9.75)

= $8.75 + $4.3875

= $13.1375

If Brenda paid for her purchase with a $50 bill, the change that she will receive will be:

= $50 - $13.1375

= $36.8625

Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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