Find the inverse Laplace transform of. F(s) = 3s + 2 s2 − 3s + 2.

Answer:

216 different cakes are possible.

Step-by-step explanation:

Given that a bakery offers 4 different flavors of cake, 3 types of icing, 6 toppings, and 3 different sizes, if one option is chosen from each list, to determine how many different cakes are possible the following calculation must be performed:

4 x 3 x 6 x 3 = X

12 x 18 = X

216 = X

Therefore, 216 different cakes are possible.

2x2 matrices A and B such that AB = 0 but BA ≠ 0, we need to construct matrices that satisfy these conditions.

Let's consider the following matrices:

A = [1 0]

[0 0]

B = [0 1]

[0 0]

To verify that AB = 0, we multiply matrix A by matrix B:

AB = [1 0] [0 1] = [0 0]

[0 0] [0 0]

As we can see, the product of A and B is a zero matrix, meaning all elements of the resulting matrix are zero. Therefore, AB = 0.

Now, let's calculate BA to check if it is non-zero:

BA = [0 1] [1 0] = [0 1]

[0 0] [0 0]

As we can see, the product of B and A is not a zero matrix. In fact, it is equal to [0 1], which is a non-zero matrix.

Thus, we have found matrices A and B such that AB = 0 but BA ≠ 0. Matrix A has a non-zero entry in the top-left position and zeros elsewhere, while matrix B has a non-zero entry in the top-right position and zeros elsewhere. This arrangement ensures that the product AB results in a zero matrix, while the product BA yields a non-zero matrix.

It's worth noting that this specific example demonstrates the existence of matrices satisfying the given conditions. However, there are many other possible choices for matrices A and B that would fulfill the requirement AB = 0 but BA ≠ 0.

Learn more about matrix at: brainly.com/question/29132693

#SPJ11

Answer:

Perimeter

P = 24.2

Step-by-step explanation:

Perimeter

P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2

Answer:

C

Step-by-step explanation:

Answer:

C. x < -175

Step-by-step explanation:

-1/5x + 4 < 39

minus 4 on both sides

= -1/5 < 35

multiply by -5 because we want the X to be positive, always. And when we multiply or divide by a negative number, the sign will always flip.

X > -175

Answer:

0.66 or 2/3

Step-by-step explanation:

just multiply them its easy

The degree of the polynomial −6x³−19x⁴+5x²+9 is 4, and it is a polynomial.

The algebraic expression is a polynomial. The degree of the polynomial is 4, and it is a polynomial. Thus, the answer is Yes; degree 4; polynomial. A polynomial is a mathematical expression consisting of variables and coefficients, as well as operations such as addition, subtraction, and multiplication, but not division by a variable.

The degree of a polynomial is the highest power of its variable. The degree of the polynomial −6x³−19x⁴+5x²+9 is 4, and it is a polynomial.

To know more about polynomial

https://brainly.com/question/11536910

#SPJ11

Answer:

4

Step-by-step explanation:

Got it right on brainly

The blue marble should be worth 8 points , Option C is the answer.

Probability is the likeliness of an event to happen.

Let the random variable is x ,

probability mass function is f(x) = P(X = x)

then The expectation of a random variable is determined by

E(x) = ∑(i =1 to n)    (  \(\rm x _i *f(x_i)\) )

If the game has to be fair , the number of points that one can loose should be equal to the  number of points one can gain.

Probability of getting any color marble = 1/5 = 0.2

Let x be the total points scored in a game

and b be the number of points for blue coloured marble

Probability of choosing non-blue marble = 4/5 (points =-2)

Probability of choosing blue marble = 1/5 (points = b)

E(x) = -2 * (4*5) + b* (1/5)

The expectation will be zero as the total points balance out

0 = -8/5 + b/5

b = 8

Therefore the blue marble should be worth 8 points , Option C is the answer.

To know more about Probability

https://brainly.com/question/11234923

#SPJ2

Answer:

33

Step-by-step explanation:

18 + 15 ← factor out 3 ( the GCF ) from each term

= 3(6 + 5)

= 3(11)

= 3 × 11

= 33

Answer:

if you know why do that but the answer is

36

I know I would like to do that too but that's wrong even if you are New to brainly

Answer:

I think its b

Step-by-step explanation:

The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

A fraction can be defined as the part of a whole number, variable or element.

There are several types of fractions, some of which includes;

From the information given, we have the fractions;

0, 1, 1/2, 8/9, 49/100, 11/10, 1/13

To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;

1/2 = 0.5

8/9 = 0.89

49/100 = 0.49

11/10 = 1.1

1/13 = 0. 08

However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10

Learn more about fractions here:

https://brainly.com/question/78672

#SPJ1

Answer:

x = -1

y = 3

Step-by-step explanation:

Equation 1: x=2y-7

Equation 2: 3x-8y=-27  ==> isolate x

Equation 3: 3x = 8y - 27  ==> isolate 3x by adding 8y on both sides

3 * (x = 2y - 7) ==> multiply 3 by equation 1 to get 3x

Equation 4: 3x = 6y - 21

  3x = 8y - 27

- (3x = 6y - 21)

3x-3x = 8y-6y - 27-(-21)  ==> subtract equation 4 from equation 3 to cancel x

0 = 2y - 27 + 21  ==> simplify

0 = 2y - 6  ==> solve for y

6 = 2y  ==> add 6 on both sides to isolate y

y = 3  ==> divide 2 into both sides

Solve for x:

x=2(3) - 7  ==> plug in 3 for y in x=2y-7

x = 6 - 7

x = -1

Answer:

A or x = 1

Step-by-step explanation:

So we can see from the most right column that the sum of the three number is  9 (2 + 4 + 3) so we know that every row or column has to add up to 9. We want to find x so we must make sure that, 8 + 0 + x should be 9 and 2 + 6 + x should be 9. From 8 + 0 + x, we know that 8 + 1 is 9 so x is 1. We can also see that 2 + 6 is 8 and 8 + 1 is 9 so x = 1.

Answer:

412.5

Step-by-step explanation:

If 1cm = 125 miles, then 3.3cm = 412.5

Answer:

1

Step-by-step explanation:

let x represent lemonade and y represent orange juice

the total earning is $240. 2x+3y=240 allows you to find the number of each cup you need to sell to get $240.

the total number of cups sold is 100. x+y=100 gives you the other equation necessary to find the number of cups of each sold if you told a total of 100

Answer:

5.85987448

Step-by-step explanation:

Pie

Answer:

the answer to your question is 5.85987

Answer:

10

Step-by-step explanation:

19-17=2

10+2=12-2 =10

The correct statement is: D) The rate of change of Function G is greater than the rate of change of Function F because 4 > 3.

The rate of change of a linear function is determined by its slope, which is the coefficient of x in the equation. In function F, the coefficient of x is 4, indicating that for every increase of 1 unit in x, there is an increase of 4 units in y.

In function G, the coefficient of x is also 4, meaning that for every increase of 1 unit in x, there is also an increase of 4 units in y. Since the rate of change (slope) of function G is greater than that of function F, we can conclude that the rate of change of Function G is greater than the rate of change of Function F.

Learn more about coefficient here: brainly.com/question/13431100

#SPJ11

find the volume of the cubes or rectangular prisms in cubic centimeters

= 8/125cm³

=36/125cm³

=6/125cm³

= 1/125cm³

⤑ To find the volume of a cube with side length of 2/5cm,

we'll use this formula

\(\huge⇒ {a}^{3} \)

\( \huge ⇒ ({ \frac{2}{5} })^{3} \small{cm}^{3} \)

\(\huge⇒ \frac{8}{125} \small {cm}^{3} \\ \)

Hence, the volume of the given cube is 8/125 cm³

⤑To find the volume of a rectangular prism with a length ,width and height of 3/5 cm 4/5 cm and 3/5 cm respectively,

we'll use this formula

\(\huge⇒lwh\)

\(\huge⇒( \frac{3}{5} \times \frac{4}{5} \times \frac{3}{5}) \small {cm}^{3} \)

\(\huge⇒ \frac{36}{125} \small {cm}^{3} \)

hence ,the volume of the given rectangular prism is 36/125 cm³

⤑To find the volume of a rectangular prism with a lenght, width and height of 1/5 cm, 2/5 cm, and 3/5 cm respectively,

we'll use this formula

\(\huge⇒lwh\)

\(\huge⇒( \frac{1}{5} \times \frac{2}{5} \times \frac{3}{5}) \small {cm}^{3} \)

\(\huge⇒ \frac{6}{125}\small {cm}^{3} \)

hence, the volume of the given rectangular prism is 6/125 cm³

⤑To find the volume of a cube with a side length of 1/5cm

we'll use this formula

\(\huge⇒ {a}^{3} \)

\(\huge⇒ {( \frac{1}{5} )}^{3} \small {cm}^{3} \)

\(\huge⇒ \frac{1}{125} \small {cm}^{3} \)

hence,the volume of the given cube is 1/125 cm³

We have created an Array arr which has size of 50,000 with random numbers in it.

In order to create simulations, games, and other applications that call for random events, we frequently need to use random numbers in our code.

For example, without random events, we would always get the same side when rolling the dice in a dice game, which would lead to unfavorable outcomes.

We have srand() function

srand function is used to initialize the sequence of pseudo-random numbers with a parameter called ‘random seed’. It makes the output of the rand function look random. Otherwise, the output of the rand () function will be the same every time we call it.

C++ Code to create an array of integers fo size 50,000.

#include <bits/stdc++.h>

using namespace std;

int main() {

int mx = INT_MAX;

srand(static_cast<unsigned int>(std::time(nullptr)));

int *arr = new int[50000];

for (int count = 1; count <= 50000; ++count)

{

 arr[count - 1] = (rand() % mx);

}

for (int count = 1; count <= 50000; ++count)

{

 cout << arr[count - 1] << endl;

}

return 0;

}

By this we have an array arr which has size of 50,000 with random numbers in it.

Given Question is incomplete, Complete Question here:

create an array of integers of size 50,000 in C++ Programming Language. fill them with random value up to the max value of int.

To know more about random numbers here,

https://brainly.com/question/29582166

#SPJ4

Answer: B

Step-by-step explanation:

Answer is B

The required method that is popular with the boys is going to school by walking.

A dual bar chart has been given, describing the method of going to school for boys and girls.

A bar chart displays the frequency counts of values for each level of a categorical or nominal variable.

Here,
According to the question,
Number of boys walk = 8,
Number of boys taking the bus = 2
Number of boys with car = 3
number of boys with cycle = 3
So the most popular method among the boys is given as by walk.

Thus, the required method that is popular with the boys is going to school by walking.

Learn more about bar charts here:
https://brainly.com/question/15507084
#SPJ2

By the end of week 52, Westway Company deducted $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

To calculate the deductions made by Westway Company, we'll need to consider the Social Security and Medicare taxes.

Social Security tax:

The Social Security tax rate is 6.2% on income up to $142,800.

Since Suzle Chan earns $3,220 per week, their annual income is $3,220 * 52 = $167,440.

However, the maximum taxable income for Social Security is $142,800.

Therefore, the Social Security tax deduction is $142,800 * 0.062 = $8,857.60.

Medicare tax:

The Medicare tax rate is 1.45% on all income.

The Medicare tax deduction is $167,440 * 0.0145 = $2,426.48.

By the end of week 52, Westway Company would have deducted a total of $8,857.60 for Social Security and $2,426.48 for Medicare from Suzle Chan's earnings.

Learn more about tax rates here: https://brainly.com/question/29017524

#SPJ11

Answer:

see explanation

Step-by-step explanation:

Given

4x³ + x² - 8x - 2 ( factor the first/second and third/fourth terms )

= x²(4x + 1) - 2(4x + 1) ← first option on list

Finishing the factoring by factoring out (4x + 1) from each term

= (4x + 1)(x² - 2)

Answer:

x2(4x + 1) – 2(4x + 1)

Step-by-step explanation:

it's A on edg

Answer:

b

Step-by-step explanation:

a/b=c/d

ad=bc

3/x=x/13

3*13=x*x

√39=√x2

6.244997998398=x

Given that:

Foci: (0,3), (0,-3)

Co-vertces: (1,0), (-1,0)

The foci are on the y-axis, so the major axis is the y-axis. Thus the equation will have the form:

The foci are (0,3) and (0,-3), so

The co-vertices are (1, 0) and (-1, 0), so

The co-vertices and foci are related by the equation

Solving for the square of a.

Substituate the obtained values into the standard form of he ellipse. Hence the equation of the ellipse is

Answer:

4030 or 3040 I think 4030 though

Step-by-step explanation:

I think this is it but 6*8 is 48....I used a little logic so hopefully this is right

Answer:

4030

Step-by-step explanation:

if 9× 7 = 3545 then it 7 × 5, 9× 5 which gives 3545

4x3 = 3× 5, 4×5 which gives 1520

so 6× 8 will give 8×5, 6×5 = 4030

Answer:

17

Step-by-step explanation:

ZBAM= 90

90=4x+22

90 minus 22= 68

68=4x

68 divided by 4=17