Find the Laplace transform of the following functions.(8 pts/each x 8 = 64 pts) a. a(t) = 2δ(t) + 3+ 4u(t) b. b(t) = 5 – 5e^(-2t) (1 + 2t) c. c(t) = 10e^(-4t) cos(20t + 36.9°) d. d(t) = 1.5tu(t)- 1.5(t – 100u(t – 10) e. f(t) = 1.5tu(t) – 1.5(t – 10u(t – 10) – 15u(t – 10) f. g(t) = 1.5tu(t) - 1.5(t – 10)u(t – 10) - 3.0(t – 15)u(t – 15) g. h(t) = (t + 2)u(t – 3) h. j(t) = 6e^(-2t+11) u(t – 5)

Answer:

180-85=95

180-95=85

5x=85

x=17

For given figure, x = 17° and y = 95°

"It is a mathematical statement which consists of equal symbol between two mathematical expressions."

For given question,

We have been given ∠1 = 5x°, the measure of ∠2 = y°, and the measure of ∠3 = 85°

we know, the sum of all the angles on one side of a straight line is always 180°

So, we get two equations.

∠1 + ∠2 = 180°                   .....................(i)

and ∠2 + ∠3 = 180°            .....................(ii)

First we solve equation (ii) to find the value of ∠2

⇒ ∠2 + ∠3 = 180°

⇒ y + 85° = 180°

⇒ y = 95°

Now substitute this value of ∠2 in equation (i)

⇒ ∠1 + ∠2 = 180°

⇒ 5x° + y° = 180°

⇒ 5x° + 95° = 180°

⇒ 5x° = 85°

⇒ x = 17°

Therefore,  x = 17° and y = 95°

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Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

A hostel is a form of budget inn that provides simple, shared lodging.

In the given case it can be concluded that the

a)Let total cost = y

Let no. of days = x

According to question,

y = 50x + 1000

(b) Given, no. of days = 21, i.e. x = 21

Putting x = 21 in the above equation ,we have

y = 50*21 + 1000

= 1050 + 1000 = Rs. 2050

The cost of your specific college will often determine the hostel and mess fees. However, the majority of the time the hostel rates include the mess fees. In addition to mess and hostel fees, there are laundry fees.

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The evaluation of the expression is 6e x 66π x 6e = 55155.0487531.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:
An expression,

6e x 66 π x 6e

The value of e lies between 2 and 3.

And the value of π lies between 3 and 4.

Solving further,

6e x 66π x 6e = 55155.0487531

Therefore, the value of the expression is 55155.0487531.

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Answer:

statement not complete

Answer:

the function R is always 2 above on the y axis to the function G

Step-by-step explanation:

adding 2 to x makes the function go up on the y axis

All the correct statements are,

⇒ ∅ ⊂ R

⇒ {... , - 5, - 4, - 3, - 2} ⊆ T

⇒ T ⊂ I

⇒ 0 ∈ I

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

For ∅ ⊂ R;

A null set is a subset of R, and in fact every set in general. There are no elements in a null set thus making it automatically a subset of any non-empty set by definition.

Hence, We get;

⇒ ∅ ⊂ R

For 6 ∈ T;

Since T is the set of negative integers less than - 1.

Hence, 6 ∉ T

For {... , - 5, - 4, - 3, - 2} ⊆ T

The set on the left is exactly what is defined on the problem statement for T. (The bar below the subset symbol just means that the subset is not strict, therefore the set on the left can be equal to the set on the right. Without it, the statement would be false since a strict subset requires that the two sets should not be equal).

Hence, {... , - 5, - 4, - 3, - 2} ⊆ T

For T ⊂ I;

Clearly, T is the set of negative integers less than - 1.

Hence, It is subset of integers.

Hence,  T ⊂ I

For 0 ∈ Z;

Zero is indeed an integer thus it is an element of Z.

Hence, 0 ∈ Z

For R ⊂ T

Since, T is the set of negative integers less than - 1.

So, Not all real numbers are some integers. Some real numbers do not meet this criteria.

Hence, R ⊄ T

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The complete question is shown in figure.

Answer:

9r

Step-by-step explanation:

1.5r+2.5r-3r+8r

4r-3r+8r

r+8r = 9r

Answer: 20.9420 is your answer

program in 'C' language to solve the boundary value problem

#include <stdio.h>

#include <math.h>

#define F(X,Y,Z) (X*Z+2*Y) // Function

#define H 0.25 // Step size

void main() {

 float x, y, z, k1, k2, k3, k4;

 int i;

 x = 0;

 y = 1;

 z = 0.45; // Assume value of y'(0)

 do {

   printf("x=%f, y=%f, z=%f\n", x, y, z);

   k1 = z;

   k2 = z + H * k1 / 2.0;

   k3 = z + H * k2 / 2.0;

   k4 = z + H * k3;

   z += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   k1 = F(x, y, z);

   k2 = F(x + H / 2.0, y + H * k1 / 2.0, z + H * k1 / 2.0);

   k3 = F(x + H / 2.0, y + H * k2 / 2.0, z + H * k2 / 2.0);

   k4 = F(x + H, y + H * k3, z + H * k3);

   y += (k1 + 2 * k2 + 2 * k3 + k4) / 6.0;

   x += H;

 } while (x <= 1.0);

 printf("x=%f, y=%f\n", x, y);

 if (fabs(y - 1.271) <= 150)

   printf("Error is within the given limit.");

 else

   printf("Error is not within the given limit.");

}

You can compile and run the above program using any C compiler of your choice.

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The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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Answer:

Step-by-step explanation:

7 - - 15

7 + 15

22

hope this helps <3

Answer:

i. square

ii. triangle

iii. trapezoid

Step-by-step explanation:

A cross section of a figure or shape can be produced by cutting a slice through the figure.

From the given question, since the angle of intersection of the planes could either be parallel or perpendicular to the base, the cross section could either be a square, a triangle or a trapezoid.

A square is generated when the angle is parallel to the base, a triangle could also be produced when the angle is perpendicular to the base, and a  trapezoid is formed when the angle is perpendicular to the base.

Answer:

A, B, C

Step-by-step explanation:

EDGE 2020

Answer:a

Step-by-step explanation:

no

(dont mind this wreath habit tdd fi gcs rgb yd UK FCC hash if sgf j.g ch hff vou j.g fyi utf fi oh fry it ey HD st ugh)

Answer: should be the top left one

Step-by-step explanation:

by plotting the points and trial and error

Answer:

4x^2 B

-4x^2 A

1/4x^2 D

-1/4x^2 C

Step-by-step explanation:

1. Look at the concavity

    up or down = negative or positive.

2. number before the x value

if N < 1, it will be wider.     if N > 1, it will be thinner.

3. the two most right graphs would be -1/4x^2 and 1/4x^2

the one that is concave down is the - and the concave up is +

You can purchase 10 gallons of Gasoline.

We have only $20 to spend on gasoline each week. If the price of gasoline is $2 a gallon

Here, we have $20

Cost per gallon $2

Number of gallons: 20/2 =10 gallons

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Answer:

The car gets 25 miles per gallon.

It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.

Step-by-step explanation:

"Miles per gallon" is calculated by dividing the number of miles by the number of gallons.

mpg = (335 miles)/(13.4 gallons) = 25 miles per gallon

Answer:

The car gets 25 miles per gallon.

It means that for each gallon of gas the car uses, it will travel a distance of 25 miles.

Answer:

25

Step-by-step explanation:

You need to divide 335 miles by 13.4 to find the miles per gallon. 335 miles divided by 13.4 gallons is 25. So for every 25 miles you use 1 gallon.

Answer:

m∠B ≈ 28.05°

Step-by-step explanation:

Because we don't know whether this is a right triangle, we'll need to use the Law of Sines to find the measure of angle B (aka m∠B).  

The Law of Sines relates a triangle's side lengths and the sines of its angles and is given by the following:

\(\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}\).

Thus, we can plug in 36 for C, 15 for c, and 12 for b to find the measure of angle B:

Step 1:  Plug in values and simplify:

sin(36) / 15 = sin(B) / 12

0.0391856835 = sin(B) / 12

Step 2:  Multiply both sides by 12:

(0.0391856835) = sin(B) / 12) * 12

0.4702282018 = sin(B)

Step 3:  Take the inverse sine of 0.4702282018 to find the measure of angle B:

sin^-1 (0.4702282018) = B

28.04911063

28.05 = B

Thus, the measure of is approximately 28.05° (if you want or need to round more or less, feel free to).

The ratio of apples to oranges, written as a fraction If Keenan makes a basket with 6 apples, is 5 / 4.

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

For every 4 oranges, there are 5 apples,

Keenan makes a basket with 6 apples,

Calculate the number of oranges as shown below,

The number of oranges = 4 / 5 × 6 = 24 / 5

Calculate the fraction of apples to oranges as shown below,

Ratio = The total number of apples / The number of oranges

Ratio = 6 / 24 / 5

Ratio = 30 / 24

Ratio = 5 / 4

Thus, the ratio is 5 / 4.

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The complete question is:

For every 4 oranges, there are 5 apples, If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Answer:

0.15(40)=6

p=46

Step-by-step explanation:

The length of the tangent x is 11.2 units.

Given is circle with radius 8.4 units and a tangent with x units, we need to find the length of the tangent,

Since we know that the tangents are perpendicular to the circle, so to find the length,

Using Pythagoras theorem,

Hypotenuse is 5.6+8.4 = 14 units,

So,

14² = 8.4² + x²

x = √196 - 70.56

x = 11.2

Hence the length of the tangent x is 11.2 units.

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Answer:

An irrational number produces an irrational when added to  

Step by step explanation:

To find : What number produces an irrational when added to  ?

Solution :  

We know that,

It is a rational number as it is repeating.

So, If we add a rational number into a rational number it always gives you a rational number.

To produce an irrational number,

If we add an irrational number to a rational number it always gives you an irrational number.

For example :

An irrational number -  

A rational number -  

Adding these two number,

This number is non-terminating and non-repeating.

Therefore, An irrational number produces an irrational when added to  

dome.  

Answer:

by5b5ybyb54

Step-by-step explanation:

yb5ybyby

Answer:

x = 17

Step-by-step explanation:

Assuming you require to find x

4x - 3 and 115 are same- side interior angles and supplementary, sum to 180°

4x - 3 + 115 = 180

4x + 112 = 180 ( subtract 112 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

Answer:

x = -1

Step-by-step explanation:

you try to get x by itself in this case I devided x/2 and -2/2

For each additional worker hired beyond the current level of 50, the firm's daily profit will decrease by $50.

To calculate the marginal product at an employment level of 50 workers, we need to find the derivative of the profit function with respect to the number of workers, n.

Taking the derivative of the profit function P = -600n + 25n^2 - 0.005n^4, we get dP/dn = -600 + 50n - 0.02n^3.

Substituting n = 50 into the derivative, we find dP/dn = -600 + 50(50) - 0.02(50)^3 = -600 + 2500 - 250000 = -247100.

Therefore, the marginal product at an employment level of 50 workers is -247100, or -$247100. However, since we are asked to interpret the result in dollars, we consider the absolute value, which is $247100.

Interpreting the result, this means that for each additional worker hired beyond the current level of 50, the firm's daily profit will decrease at a rate of $247100. In other words, the firm experiences diminishing returns to labor, where the additional benefit gained from each additional worker is diminishing and leads to a decrease in profit.

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Step-by-step explanation:

1cm:17km so

2.5cm=17*2.5=42.5