10 The scatterplot shows the number of people in each of 8 different households and the average amount of money each household spent on groceries. Weekly Grocery Expenses y A v e r a g eA mountS p u n t o nG g r o c e r i e s( d o l l a r s )320 280 240 200 160 120 80 40 Number of People in Household x 0 2 4 6 8 Based on the scatterplot, what is the best prediction of the average amount of money spent on groceries for a household that has 7 people

Answers

Answer 1

The best prediction of the average amount of money spent on groceries for a household that has 7 people can be determined by examining the scatterplot and estimating the corresponding value on the y-axis.

Based on the scatterplot, the best prediction for the average amount of money spent on groceries for a household with 7 people would be around $160.

To arrive at this prediction, we observe the position on the x-axis where the number of people in the household is 7. Then, we look at the corresponding position on the y-axis to determine the average amount of money spent on groceries. In this case, the scatterplot suggests that households with 7 people tend to spend around $160 on groceries.

It's important to note that this prediction is based on the pattern observed in the given scatterplot, and there may be some variability or uncertainty in the actual amount spent on groceries for a specific household with 7 people.

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Related Questions

The vertices of a figure are P(-3,4), Q(-1,3,) R(-2,1) and S(-4,1). Rotate the figure 270° clockwise about the origin. Find the coordinates of the image.

Answers

Answer:

P (-3 , 4) ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

Step-by-step explanation:

270° clockwise rotation: (x , y) ---> (-y , x)

P (-3 , 4) ---> (-4 , -3)

Q (-1 , 3) ---> (-3 , -1)

R (-2 , 1) ---> (-1 , -2)

S (-4 , 1) ---> (-1 , -4)

What are the measures of ∠1 and ∠2?

Answers

The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.

What is angle?

An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.

Here,

180-121.8=58.2°

180-(58.2+17.3)=104.5°

180-104.5=75.5°

180-(75.5+37.1)=67.4°

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What inequality represents each verbal expression?
a all real numbers x greater than 2
b. 6 more than a number k is less than or equal to 12
O
A a. x<2
b. k +6 <12
o
B. a.x>2
b.k+6 s 12
O Cax2 2
b.k +6 > 12
O D. a.xs2
b. k + 6 2 12

Answers

Step-by-step explanation:

a.) All real numbers x greater than 2

===> X > 2

b.) 6 more than a number k is less than or equal to 12

===> 6+k =< 12

2x^3y + 18xy - 10x^2y - 90y

Part A: rewrite the expression so that the GCF is factored completely

Part B: rewrite the expression completely factored. Show the steps of your work

___________________________

Part A: the area of a square is (9x^2 + 24x + 16) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work.

Part B: the area of a rectangle is (16x^2 - 25y^2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.

___________________________

f(x) = 2x^2 - 5x + 3

Part A: what are the x-intercepts of the graph of f(x)? Show your work

Part B: is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answer and show your work.

Part C: what are the steps you would use to graph f(x)? Justify that you can use the answer in part A and part B to draw the graph.

Answers

The expression where the greatest common factor (GCF) is factored completely is $2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)$

The expression completely factored in is

$2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)$

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

$2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)$

Part B:

To completely factor the expression, we can further factor the quadratic term.

$2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)$

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is $2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)$

The expression completely factored in is

$2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)$

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3 tickets cost 36 dollars how much is one ticket

Answers

Answer:

$12 per ticket

Step-by-step explanation:

36/3

what is the diffrince between 200,000 - 124,35

Answers

Answer:

76,650

Step-by-step explanation:

Answer: 187, 565

Step-by-step explanation:can i have brainliest?

whats the distance between (-4, 6) and (3, -7)

Answers

Answer:

$ \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}$

Step-by-step explanation:

Let the points be A and B

Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )

Finding the distance between these two points

$ \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$ \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}$

$ \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}$

$ \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}$

$ \dashrightarrow{ \sf{ \sqrt{49 + 169} }}$

$ \dashrightarrow{ \sf{ \sqrt{218}}} $ units

Hope I helped!

Best regards! :D

ELABORATION: Velocity Atroffic sofety engineer was studying travel patterns along a highway. She set up a camera and recorded the speed and direction of cars and trucks that passed. Positions to the east of the camera are positive, and to the west are negative. west east -100 0 +100 Vehicles that are traveling toward the east have a positive velocity, and vehicles that ore traveling toward the west have a negative velocity. 1. Complete the table with the position of each vehicle if the vehicle is traveling at a constant speed for the indicated time period. Then write an equation. velocity (meters per second) time after passing the ending position (meters) equation describing position camera (seconds) +25 +10 +250 25 10 = 250 -20 +30

Answers

Answer:

4 -1

Step-by-step explanation:

Tis' big brain time

Find the quotient. Enter your answer in lowest terms in the box below as a fraction, using the slash mark ( / ) for the fraction bar.

Answer here

$Find the quotient. Enter your answer in lowest terms in the box below as a fraction, using the slash$

Answers

The quotient of the expression as given in the task content is; 27/40.

What is the quotient of the expression as given in the task content?

It follows from the task content that the quotient of the expression which is given in the task content is to be determined.

Since the given expression is; (3/8) ÷ (5/9).

Hence, it follows from division of fractions that the expression can be rewritten as;

(3/8) × (9/5)

= 27/40.

Ultimately, the quotient of the expression is; 27/40.

Answers

The function is concave up on the interval (8/3, ∞).
So, the inflection point is (8/3, f(8/3)).

Given: f(x) = x³ - 8x² - 4.
a) Find the intervals on which f is increasing or decreasing.
Firstly we find the first derivative of the function and set it equal to 0, to find the critical points:
f(x) = x³ - 8x² - 4
f '(x) = 3x² - 16x
0 = 3x² - 16x
x = 0 or x = 16/3
So, the critical points are x = 0 and x = 16/3
Next, we find the sign of f '(x) on either side of these critical points.
Test point x = -1:
f '(-1) = 3(-1)² - 16(-1)
f '(-1) = 19 > 0
The derivative is positive to the left of x = 0, so f is increasing on the interval (-∞, 0).
Test point x = 1:
f '(1) = 3(1)² - 16(1)
f '(1) = -13 < 0
The derivative is negative to the right of x = 0, so f is decreasing on the interval (0, ∞).
b) Find the local maximum and minimum values of f.
We have found the critical points, so we can evaluate the function at these points to find the local maximum and minimum values of f.
f(0) = -4
f(16/3) = -544/27
So, the local maximum value of f is -544/27 and the local minimum value of f is -4.
c) Find the intervals of concavity and the inflection points.
To find the intervals of concavity, we find the second derivative of f:
f(x) = x³ - 8x² - 4
f '(x) = 3x² - 16x
f ''(x) = 6x - 16
Setting f ''(x) equal to 0, we find the inflection point:
6x - 16 = 0
x = 8/3
We can use the sign of f ''(x) on either side of x = 8/3 to determine the intervals of concavity.
Test point x = 0:
f ''(0) = -16 < 0
The function is concave down on the interval (-∞, 8/3).
Test point x = 3:
f ''(3) = 2 > 0
The function is concave up on the interval (8/3, ∞).
So, the inflection point is (8/3, f(8/3)).

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A directional test (>) one sample t test was conducted. The results was t (30) = 6.23. You will:
accept the null. 000 C reject the null. cannot tell with the information provided.

Answers

We will reject the null hypothesis of A directional test (>) one sample t test was conducted. The results was t (30) = 6.23.

In a one-sample t-test, the null hypothesis assumes that the population mean is equal to a specified value. The alternative hypothesis assumes that the population mean is greater than or less than the specified value.

In a right-tailed test, the rejection region is located in the upper tail of the t-distribution, and the critical value is positive. If the calculated t-statistic is greater than the critical value, then the null hypothesis is rejected in favor of the alternative hypothesis.

In this case, the calculated t-statistic is 6.23, which is greater than the critical value for a one-tailed test at a 0.05 level of significance with 30 degrees of freedom. Therefore, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population mean is greater than the specified value.

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Consider the given right triangle. If and a = 25 m,
then b =
m.

Answers

Answer:

Assuming that a and b are not the hypotenuse then B would be equal to A, so B would equal 25m

Step-by-step explanation:

I hope this is right, you didn't put a picture.

The first 5 terms of a certain sequence are 6. 12, 24, 48, and 96.
Which two statements about this sequence are true?
This is a geometric sequence.
This is an arithmetic sequence.
The function f(n)2(6)"
The function f(7) = 6(2)"
The function f(n) = 6 -6(n
represetits this sequence, where is a positive whole
represents this sequence, where is a positive whole r
1) represents this sequence, where n is a positive wh

Answers

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms, that is

12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 96 ÷ 48 = 2

this indicates the sequence is geometric

the nth term of a geometric sequence is

f(n) = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio

here a₁ = 6 and r = 2 , then

f(n) = 6 $(2)^{n-1}$

there are 8 books on a shelf, of which 2 are paperbacks and 6 are hardbacks. how many possible selections of 4 books from this shelf include at least one paperback? 40 45 50 55 60

Answers

The answer is 55 possible selections of 4 books from this shelf that include at least one paperback. Option D (55) is the correct answer.

To answer your question regarding the possible selections of 4 books from a shelf with 8 books (2 paperbacks and 6 hardbacks) that include at least one paperback, we'll use combinatorics.
Calculate the total possible combinations of selecting 4 books out of 8 without any conditions:
This can be calculated using the combination formula, C(n, r) = n! / (r! * (n-r)!), where n is the total number of books (8) and r is the number of books to be selected (4).
C(8, 4) = 8! / (4! * (8-4)!) = 70
Calculate the total possible combinations of selecting 4 hardback books only:
Here, n is the total number of hardbacks (6) and r is the number of books to be selected (4).
C(6, 4) = 6! / (4! * (6-4)!) = 15
Calculate the number of combinations that include at least one paperback:
Since we know the total combinations and the combinations with hardbacks only, we can subtract the latter from the former to get the number of combinations with at least one paperback.
Number of combinations with at least one paperback = Total combinations - Combinations with hardbacks only = 70 - 15 = 55
So, there are 55 possible selections of 4 books from this shelf that include at least one paperback.

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3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4

Answers

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. Find the total number of pages in the novel.

Answers

Answer:

The novel has 117 pages

Step-by-step explanation:

Let p be the pages in the novel

p − 3 = 114

p = 117

Answer:

351

Step-by-step explanation:

114 = p/3 - 3

p/3 = 117

p = 351 page

Please mark me brainliest if this helped you ! (by clicking the little crown on my answer) it helps a lot thnx! (^o^)

a florist determines the probabilities for the number of flower arrangements they deliver each day. x 19 20 21 22 23 p ( x ) 0.22 0.20 0.32 0.14 0.12 find the mean, variance, and standard deviation of the distribution rounded to 4 decimal places. mean

Answers

The mean, variance, and standard deviation of the distribution is 20.74, 1.3210, and 1.1493, respectively.

First, the mean can be found using the following formula:

Mean = ∑x(p(x))

Mean = (19)(0.22) + (20)(0.20) + (21)(0.32) + (22)(0.14) + (23)(0.12)

Mean = 4.18 + 4 + 6.72 + 3.08 + 2.76

Mean = 20.74

Next, the variance can be found using the following formula:

Variance = ∑(x-mean)²(p(x))

Variance = (19-20.74)²(0.22) + (20-20.74)²(0.20) + (21-20.74)²(0.32) + (22-20.74)²(0.14) + (23-20.74)²(0.12)

Variance = 0.5362 + 0.0552 + 0.0173 + 0.1754 + 0.5369

Variance = 1.3210

Finally, the standard deviation can be found using the following formulas:

Standard deviation = √variance

Standard deviation = √1.3210

Standard deviation = 1.1493

So, the mean is 20.74, the variance is 1.3210, and the standard deviation is 1.1493, all rounded to 4 decimal places.

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What is the volume of thee following triangular prism ?

Answers

Answer: 150 centimeters cubed

Step-by-step explanation: Let us take a step back and look at the big picture. The triangle is 5cm high and 4cm wide. The to solve the area of a triangle (as you probably know) is length × width. Pretend the height is actually the length because, at the end of the day its 3 things: length, width, and height. It is easy to see the area of the triangle is 10 (4 × 5 = 20, and 20 ÷ 2 = 10) now we just multiply by the width which is, I think, correct me if I'm wrong and I'll do another explanation but I think the width is 15cm. 10 × 15 = 150.

Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?

Answers

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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Do you know the answer??????

Answers

Answer:

Step-by-step explanation:

because when you divide all the answers their hours of training its all different answers

It’s not b it’s A. No y values repeat

When calculating npv, the present value of the nth cash flow is found by dividing the nth cash flow by 1 plus blank______ rate raised to the nth power.

Answers

The discount rate raised to nth power.

What is NPV?

NPV is defined as Net Present Value. It is mainly used in capital budgeting and investment planning for the purpose of analyzing the project profit. NPV is the difference between the present value of cash inflows and the present value of cash outflows in a period of time. The occurrence of cashflows in a series at different times is termed as NPV. NPV is a measure widely used in finance and commercial real estate. It is used to help taking decisions in accounting calculation. The cashflow that is discounted can be termed as NPV.

A simple example for NPV is, If a security offers a series of cashflows with an NPV of $30,000 and an investor pays exactly $30,000 for it, then the investor's, NPV is $0.

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A marshmallow bag cost $1.50 how much would 4 bags cost

Answers

Answer:

Step-by-step explanation:

1.50 * 4

Hope it is useful

Answer:

6 dollars

Step-by-step explanation:

$1.50 * 4

In the system of equations below, x and y are variables while m is a constant. For which value of m does the system have no solution?

6x-3y=7
3x-my=5

PLEASE HELP!!!!!!

Answers

Answer:

m = 1.5

Step-by-step explanation:

Given system:

6x - 3y = 7 3x - my = 5

This is a system of linear equations and the condition of no solution is to have the parallel lines.

Parallel lines have same slope but different y-intercepts.

The first line

6x - 3y = 73y = 6x - 7y = 2x - 7/3

The slope is 2 and the y-intercept is -7/3

The second line

3x - my = 5my = 3x - 5y = (3/m)x - 5/m

The slope is 3/m and the y-intercept is -5/m.

We need 3/m = 2 then:

m = 3/2 = 1.5

With m = 1.5 the y-intercepts are different.

Answer:

m= 1.5

Step-by-step explanation:

Solve Similar Triangles (advanced)

Solve for X.

Answers

Given:

$m\angle B=90^\circ, m\angle D=90^\circ, AB=6, BD=4, BC=2, DE=x$.

To find:

The value of x.

Solution:

In triangles ABC and ADE,

$\angle B\cong \angle D$ (Right angles)

$\angle A\cong \angle A$ (Common angles)

$\Delta ABC\sim \Delta ADE$ (AA property of similarity)

We know that the corresponding sides of similar triangles are proportional. So,

$\dfrac{AB}{AD}=\dfrac{BC}{DE}$

$\dfrac{6}{(6+4)}=\dfrac{2}{x}$

$\dfrac{6}{10}=\dfrac{2}{x}$

$\dfrac{3}{5}=\dfrac{2}{x}$

On cross multiplication, we get

$3\times x=5\times 2$

$3x=10$

$x=\dfrac{10}{3}$

Therefore, the value of x is $\dfrac{10}{3}$ units.

80 POINTS! Help with this question please!!!! 80 POINTS!

Answers

Answer:

C. Translation 5 units left and 2 units down

Step-by-step explanation:

Let's take a look at A', which is (0, 0). This is the result of A, which is (5, 2) being transformed somehow. Notice that the x-coordinate moved 5 units to the left (from 5 to 0, which means we subtract 5 from 5). And, notice that the y-coordinate moved 2 units down (from 2 to 0, so we subtract 2 from 2).

Look to see if this works for the other two points:

B(6, 1): if we subtract 5 from the x-coordinate 6, we get 6 - 5 = 1, which matches the x-coordinate of the image B'. If we subtract 2 from the y-coordinate of B, which is 1, we get 1 - 2 = -1, which also matches the y-coordinate of B'. So, this works.

C(4, 5): if we subtract 5 from the x-coordinate 4, we get 4 - 5 = -1, which matches the x-coordinate of the image C'. If we subtract 2 from the y-coordinate of C, which is 5, we get 5 - 2 = 3, which also matches the y-coordinate of C'. So, this again works.

Therefore, we know that the transformation is a translation 5 units left and 2 units down, or C.

A picture will be shown below of a graph with the points in the table.

We only need to use (5, 2) and (0, 0) to solve this problem.

We take both points and see what it took for the old point to get to where the new point is (Shown in picture below).

Therefore, the answer is [ C. Translation 5 units left and 2 units down ]

Best of Luck!

Find the inverse Laplace transform of the given function. 6 (a) F(s) = . s² + 4 (b) F(s) = 5 (S-1)³ 3 (c) F(s) = s2+38-4 3s +3 s² + 2s +5 (d) F(s) = 2s + 1 (e) F(s) = s² - 4 (f) F(s) = 8s² - 6s + 12 s(s² + 4) 3- 2s (g) F(s) = = s2 + 4s +5

Answers

The inverse Laplace transform of F(s), we get f(t) = e^(-2t)(cos(t) + sin(t)).

These are the inverse Laplace transforms of the functions.

To find the inverse Laplace transform of the given functions, we will use the properties and formulas of Laplace transforms. The inverse Laplace transform of F(s) is denoted as f(t).

(a) F(s) = 6/(s² + 4)