A boy is pushing a 50 kg box with the force F but the box is not moving. (10 min)30° F=20a) what type of friction is acting on this box. Why? b) What is the direction of friction force? Why? c) draw the Free body diagram d) calculate the amount of friction force. e) Calculate the coefficient of friction between box and floor.

Answers

Answer 1

The type of friction acting on the box is static friction. This is because the box is not moving, and static friction is the force that opposes motion when an object is at rest.

The direction of the friction force is opposite to the direction of the force applied by the boy. This is because friction always acts in the opposite direction to the applied force, to prevent the object from moving.

The free body diagram for the box would include the force of gravity acting downwards (50 kg x 9.8 m/s² = 490 N), the force applied by the boy (20 N at an angle of 30°), and the static friction force acting in the opposite direction to the applied force.

To calculate the amount of friction force, we can use the formula F_friction = F_applied x coefficient of friction. Since the box is not moving, the friction force is equal in magnitude to the applied force. Therefore, F_friction = 20 N.

To calculate the coefficient of friction, we can use the formula coefficient of friction = F_friction / F_normal. The normal force is equal in magnitude to the force of gravity, which is 490 N. Therefore, coefficient of friction = 20 N / 490 N = 0.041.

Know more about friction here:

https://brainly.com/question/13000653

#SPJ11


Related Questions

I need to fine the midpoint of this slope they gave me​

I need to fine the midpoint of this slope they gave me

Answers

Answer:

The midpoint would be (-3, 1)

Step-by-step explanation:

since the formula for midpoint is \((\frac{x^{1} +x^{2} }{2}, \frac{y^{1} +y^{2} }{2} )\), you would just have to plug in the coordinates given on the graph. I think your points are (-1, 4) and (-5, -2).

\((\frac{-1 -5}{2}, \frac{4-2}{2} )\)

\((\frac{-6}{2}, \frac{2}{2} )\)

If you simplify, then you should get (-3, 1)!

Answer
(-3,1)
Explanation

14% out of 100% equals how many people out of 10?

Answers

Answer:

1.4 people out of 10

Step-by-step explanation:

Just divide it by 10

Answer:

only 4 people

more points and more brainliest! Just answer this question
(correct answer will get brainly)

more points and more brainliest! Just answer this question(correct answer will get brainly)

Answers

Answer:

There are 3 numbers that are not whole numbers.

3/4, 3.7, and sqrt 3 are not whole numbers

Answer:

3

Step-by-step explanation:

There are only 3 that aren't whole numbers. The whole numbers are: 32, 1,265, 3000, and 1. The numbers that aren't whole are: 3/4, 3.7, and √3

Find the lengths of g, h, and j. Round answers to the nearest tenth.

Find the lengths of g, h, and j. Round answers to the nearest tenth.

Answers

The sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13

What is a triangle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total. Any three points in Euclidean geometry, when they are not collinear, produce a distinct triangle. A right triangle is a triangle with two perpendicular sides and one angle that is a right angle.

The given figure has a large right triangle with sides g,h and j and a small right triangle with sides 12, j and 5.

Using the small triangle, we can find the value of j.

By Pythagoras theorem,

j² = 12² + 5² = 144 + 25 = 169

j = 13

Now using trigonometric relation we can find the angle ∅  between j and 5.

sin ∅ = 12/13 = 0.923

∅ =  sin ⁻¹ (0.923) = 67.37°

This angle is common for both triangles.

So for large triangle,

tan 67.37 = h/j = h/13

2.4 = h/13

h = 31.2

By Pythagoras theorem,

g² = h² + j²  = 31.2²  + 13² = 1142.44

g = 33.8

Therefore the sides of the given right triangle are:

g = 33.80

h = 31.20

j = 13.

To learn more about triangles, follow the link.

https://brainly.com/question/2437195

#SPJ1

please explain how to do this

please explain how to do this

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a circle (A) = πr²-------------(i)

Circumference (C) = 2πr

=>C = 2πr

=> 2πr= C

=> π = C/2r

Substituting the value of π = C/2r in the first equation i.e (i)

A = (C×r²)/2r

= (C . r)/2

= 1/2 × C × r

Therefore, option 4 is the correct option

Parallelogram MNOP with vertices M(1, 7),
N(8, 5), O(4, 2), and P(-3, 4): and it rotates 180° What will be the new coordinates

Answers

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

What is a 180 degrees rotation?

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

How to determine the image of the rotation?

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Read more about rotation at

https://brainly.com/question/12508456

#SPJ1

Graph each function using a table of values, then identify its key characteristics.

Graph each function using a table of values, then identify its key characteristics.

Answers

\(y=3^x-4\)

we make the table using 3 any numbers for x and replacing on the function

x=-1

\(\begin{gathered} y=3^{-1}-4 \\ y=-\frac{11}{3} \end{gathered}\)

x=0

\(\begin{gathered} y=3^0-4 \\ y=-3 \end{gathered}\)

x=1

\(\begin{gathered} y=3^1-4 \\ y=-1 \end{gathered}\)

Table

place the points and joint it

the function is growth since it can be seen in the graph

Domain

We can see on graph the line can be any value of x because horizontally it has no beginning or end

\((-\infty,\infty)\)

Range

We can see the smallest value that the graph could take is -4 and the May is not defined so it is infinite

\((-4,\infty)\)

Y intercept

point where x = 0 and the line touches the y axis

the point is

\((0,-3)\)

Asymptote

horizontal or vertical line that the nape line will touch

our asymptote lies on the value of y = -4, why the line never touches this value

\(y=-4\)

Graph each function using a table of values, then identify its key characteristics.
Graph each function using a table of values, then identify its key characteristics.

please help geometry

please help geometry

Answers

Answer:

Below

Step-by-step explanation:

Remember in a RIGHT triangle ,  cos = adj leg /  hypotenuse

for this one then

cos (37) = 11/x       re-arrange to

x = 11/cos 37

x = 11/ .7986 = 13.8 units

Answer:

  13.77

Step-by-step explanation:

You want the hypotenuse of a right triangle with acute angle 37° and adjacent side 11.

Cosine

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(37°) = 11/x

Solving for x, we find ...

  x = 11/cos(37°) ≈ 13.77

The measure of side x is 13.77 units.

please help geometry

A typical person begins to lose consciousness if subjected to accelerations greater than about 5 g(49.0 m/s^2) for more than a few seconds. Suppose a 3.00×10^4−kg manned spaceship's engine has an exhaust speed of 2.50×10^3 m/s. What maximum burn rate ∣ΔM/Δt∣ could the engine reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness?

Answers

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Learn more about maximum burn rate

https://brainly.com/question/29328145

#SPJ11

What is the slope of the line that passes through the points (9, 5)(9,5) and (21, -5)(21,−5)? Write your answer in simplest form.

Answers

The slope of a line is determined by the formula:

(y2 - y1) / (x2 - x1)

So for the points (9, 5) and (21, -5), the slope would be:

(-5 - 5) / (21 - 9) = -10 / 12 = -5/6

So the slope of the line that passes through the points (9, 5) and (21, -5) is -5/6 in simplest form.

Kenia spent $270 on 6 chairs. To find out how much she
spent on each chair, she did the following work in long
division
45
6)270
-24
30
-30
0
Did she do the problem correctly? Why or why not?
A. No, because the problem should be 270 16
O B. No, because there is a remainder of 0.
C. Yes, she worked the problem correctly.
D. No, because the first digit in the quotient should be 5, not 4.

Kenia spent $270 on 6 chairs. To find out how much shespent on each chair, she did the following work

Answers

Answer:

Correct answer is C. she solved the question using long division correctly

Answer:

C. Yes, she worked the problem correctly.

Question below. I have attached it below. Please answer it and comment the answer.

Question below. I have attached it below. Please answer it and comment the answer.

Answers

Answer:

(a)1/10

(b)1/5

(c)4/5

hope it helps

Answer:

answer for A) 1/10

answer for B) 1/10

answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer

a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?

Answers

According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.

The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.

Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.

Learn more about Zaller's model:

https://brainly.com/question/6956833

#SPJ11

5. Find the volume:
6.8 m
9.2 m
6.2 m​

5. Find the volume:6.8 m9.2 m6.2 m

Answers

Answer:

387.872

Step-by-step explanation:

to find volume you have to multiply the length times width times height so that's what I did to get the answer.

The sand pit for the long jump has a width of 2.7 meters and a length of 9.54 meters. Just in case it rains, the principal wants to cover the sand pit with a piece of plastic the night before the event. How many square meters of plastic will the principal need to cover the sand pit?

Answers

Answer:

A = 25.758 m²

Step-by-step explanation:

Width of the sand pit, b = 2.7 m

Length of the sand pit, l = 9.54 m

We want to cover the sand pit with a piece of plastic. We need to find how many square meters of plastic will be needed to cover the sand pit. It is equal to the area of sand pit. It is in the shape of rectangle. Its area is given by :

A = l × b

A = 2.7 × 9.54

A = 25.758 m²

So, 25.758 m² of plastic will be needed to cover the sand pit.

Charles is training for a race he runs 4/5 of a mile everyday how many miles does he run in 8 days

Answers

we are given that a person runs 4/5 of a mile per day, that is:

\(N=\frac{4}{5}\text{ miles/day}\)

To determine the number of miles he runs in 8 days, we need to multiply the number of miles per day by 8, that is:

\(n=\frac{4}{5}\text{ miles/day(8days)}\)

Solving we get:

\(n=\frac{32}{5}\text{ miles}\)

in decimal notation this is:

\(n=6.4\text{ miles}\)

an article summarizes a report of law enforcement agencies regarding the use of social media to screen applicants for employment. the report was based on a survey of 731 law enforcement agencies. one question on the survey asked if the agency routinely reviewed applicants' social media activity during background checks. for purposes of this exercise, suppose that the 731 agencies were selected at random, and that you want to use the survey data to decide if there is convincing evidence that more than 25% of law enforcement agencies review applicants' social media activity as part of routine background checks.

Answers

a) The sampling proportion's mean value is 0.25. 0.016 is the standard deviation. The form resembles a bell.

b) There is a 10% possibility of getting this number, p=0.27 or more, given a sample proportion, so I wouldn't be surprised.

c) Since there is no chance that the sample fraction of 0.31 will occur, I would be shocked if it did.

Given,

a) The null hypothesis proportion would be the middle of the sampling distribution (p-0.25). So, p=0.25 is the sampling proportion's mean value.

This would be the standard deviation:

σp = √(p (1 - p) / n) = √(0.25 × 0.75/731) = 0.016

The distribution would resemble a binomial distribution, hence the form would be bell-shaped.

b) By calculating the z-value and checking for its probability in the standard normal distribution, we may determine the likelihood of a value p=0.27 in this distribution.

z = (p - π) / σp = (0.27 - 0.25) / 0.016 = 0.02/0.016  = 1.25

p(z > 1.25) = 0.106

There is a 10% probability of achieving this value, p=0.27 or more, for a sample proportion, so I wouldn't be surprised.

c) We repeat the calculation for p=0.31

z = (p - π) / σp = (0.31 - 0.25) / 0.016 = 0.06/0.016  = 5

p(z > 5) = 0.000

I would be astonished to see that value because the probability of this sample fraction occurring at p=0.31 is zero.

Learn more about probability here;

https://brainly.com/question/15727765

#SPJ4

plz help me i really need this down i will give a 100 if u answer it right

3. 4 ____/_____ 4 _________ 4 _________ 4 = 3



4. 4 _________ 4 _________ 4 _________ 4 = 4



5. 4 _________ 4 _________ 4 _________ 4 = 5



6. 4 _________ 4 _________ 4 _________ 4 = 6




7. 4 _________ 4 _________ 4 _________ 4 = 7

Answers

Answer:

lmk what you mean and i will help you asap

Answer:

I am soso sorry give me like a day and i will have you an answer

Step-by-step explanation:

i don't uderstand

A boat travelled 60km downstream in 4 hours and the return trip in 5 hours. What is the
speed of the boat in still water in km/h? Write your answer to the nearest tenth.

Answers

Answer:

13.3 km/h

Step-by-step explanation:

getting the neutral is adding both the hours and distance, after adding them you can then dicixe the distance by the time getting your average speed (the upstream is what balances the downstream)

a. Evaluate intgral (x/( sqrt (x+7) )) dx using integration by parts.
b. Evaluate the intgral (x/( sqrt (x+7) )) dx dx using substitution. c. Verify that your answers to parts (a) and (b) are consistent

Answers

a. Integration using parts of ∫(x/√(x+7)) is 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C.

b. Integration using substitution of ∫(x/√(x+7)) is (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C.

a) Evaluate ∫(x/√(x+7)) dx using integration by parts:

Let u = x, dv = 1/√(x+7) dx, then du/dx = 1 and v = 2√(x+7)

Using integration by parts formula, we have:

∫(x/√(x+7)) dx = uv - ∫v du/dx dx

= 2x√(x+7) - 2∫√(x+7) dx

Let t = x + 7, then dt/dx = 1 and dx = dt, so the integral becomes:

∫(x/√(x+7)) dx = 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

where C is the constant of integration.

b) Evaluate ∫(x/√(x+7)) dx using substitution:

Let u = √(x+7), then du/dx = 1/(2√(x+7)) and dx = 2u du

Substituting, we get:

∫(x/√(x+7)) dx = ∫(\(u^2\) - 7) du

= 1/3 \((x+7)^{(3/2)}\) - 7√(x+7) + C

where C is the constant of integration.

c) To verify that the answers in parts (a) and (b) are consistent, we can substitute the expression obtained in part (b) back into the integral in part (a) and simplify:

∫(x/√(x+7)) dx = 2x√(x+7) - 2∫√(x+7) dx

= 2x√(x+7) - 4/3 \((x+7)^{(3/2)}\) + C

Now, substituting the expression obtained in part (b):

= 2x(√(x+7)) - 4/3 \((x+7)^{(3/2)}\) + C

= (2/3) \((x+7)^{(3/2)}\) - 7√(x+7) + C

Thus, the expressions obtained in part (a) and part (b) are consistent and differ only by a constant term.

Learn more about integration at

https://brainly.com/question/18125359

#SPJ4

the level of significance in hypothesis testing is the probability of: group of answer choices rejecting a true null hypothesis none of these alternatives is correct accepting a false null hypothesis accepting a true null hypothesi

Answers

option C. Rejecting a true null hypothesis. The level of significance in hypothesis testing is the probability of rejecting a true null hypothesis.

In hypothesis testing, the null hypothesis is a statement that there is no significant difference between two populations or variables, while the alternative hypothesis is a statement that there is a significant difference. The level of significance, denoted by alpha (α), is the probability of rejecting the null hypothesis when it is actually true.

In other words, if the level of significance is set at 0.05 (or 5%), this means that there is a 5% chance of rejecting the null hypothesis when it is actually true. This is known as a type I error, or a false positive.

The level of significance is usually set by the researcher or statistician before conducting the hypothesis test, and is typically based on the desired balance between the risk of making a type I error and the risk of making a type II error (failing to reject a false null hypothesis).

To learn more about hypothesis testing please click on below link.

https://brainly.com/question/29576929

#SPJ4

The level of significance in hypothesis testing is the probability of

a. accepting a true null hypothesis

b. accepting a false null hypothesis

c. rejecting a true null hypothesis

d. could be any of the above, depending on the situation

How to find the area of an equilateral triangle inside a circle

Answers

Answer:

Step-by-step explanation:

How to find the area of an equilateral triangle inside a circle

Divide.

(−16)÷(−56)

What is the quotient?

Enter your answer as a simplified fraction in the box.

Answers

Answer:

 2/7

Step-by-step explanation:

The quotient is ...

  \(\dfrac{-16}{-56}=\dfrac{2\cdot8}{7\cdot8}=\boxed{\dfrac{2}{7}}\)

A common factor of -8 can be cancelled from numerator and denominator.

Answer:

0.2857142857

Step-by-step explanation:

Hope this helps!

Brainliest pls

Have a great day!

Help! I got 4080 but it marked it as wrong

Help! I got 4080 but it marked it as wrong

Answers

The surface area of the given prism is 3744 square cm.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Here the prism contains six surfaces out of these two are trapezoidal and the other is rectangular so the total surface area will be the sum of the area of the trapezoid and the rectangles.

The surface area will be calculated as,

SA = 2 [(24/2)(29+12) + ( 12 x 30 ) + ( 26 x 30 ) + ( 25 x 30 ) + ( 29 x 30)

SA = 984 + 360 + 780 + 750 + 870

SA = 3744 square cm

Therefore, the total surface area will be 3744 square cm.

To know more about surface area follow

https://brainly.com/question/1297098

#SPJ1

Mark each of the following statements as either AT (for "always true"), or ST (for "some- times true"), or NT (for "never true"). You must justify your answers. a. [2] If A is a 8 x 9 matrix of maximum rank, the dimension of the orthogonal complement of the null space of A is 1.

Answers

ST. The statement is sometimes true. The dimension of the orthogonal complement of the null space of A is equal to the rank of A.

Since A is a 8 x 9 matrix of maximum rank, its rank is 8. Therefore, the dimension of the orthogonal complement of the null space of A is 1, if and only if the null space of A has dimension 7. This means that there are 7 linearly independent vectors that satisfy Ax = 0. It is possible for this to happen, but it is not always true. For example, if A is the identity matrix, then the null space of A is the zero vector, and the dimension of the orthogonal complement of the null space of A is 9, not 1. Therefore, the statement is not always true, but it is sometimes true, depending on the specific matrix A.

Learn more about matrix here:

https://brainly.com/question/31017647

#SPJ11

Given AE ≈ EC, for what value of x is quadrilateral ABCD a parallelogram?

Given AE EC, for what value of x is quadrilateral ABCD a parallelogram?

Answers

Answer:

X = 1/3 (to make it short) plz brainliest

Step-by-step explanation:

At Eve's school, 40% of the students take trigonometry with Mr. Green, and 60% take
trigonometry with Mr. Brown. 25% of Mr. Green's students and 30% of Mr. Brown's
students take HonorsChemistry. Eve is making a diagram to represent the probability that a student in Mr. Brown's class is also taking Honors Chemistry. What should Eve do to complete the diagram?

At Eve's school, 40% of the students take trigonometry with Mr. Green, and 60% taketrigonometry with

Answers

The thing that Eve should do to complete the diagram regarding the trigonometry is B. Shade 30% of one of the brown squares.

How to explain the trigonometry?

Trigonometry simply means the branch of mathematics that's concerned with angles and calculations.

In this case, the thing that Eve should do to complete the diagram regarding the trigonometry is to shade 30% of one of the brown squares. This will represent chemistry.

Learn more about trigonometry on:

https://brainly.com/question/24349828

Answer:

Shade 3 of the 10 rows in the brown section

Step-by-step explanation:

At Eve's school, 40% of the students take trigonometry with Mr. Green, and 60% taketrigonometry with

Consider the function given below. f(x)=2x2(x−5)(6x2−6x+5)(x+1)​=2x3−10x26x3−x+5​ 1.) Evaluate the following limits: a.) limx→0+​f(x) b.) limx→0−​f(x) c.) limx→5+​f(x) d.) limx→5−​f(x) e.) limx→[infinity]​f(x) f.) limx→−[infinity]​f(x) 2.) List all vertical and horizontal asymptotes for the y=f(x). State your answers as equations. 3.) Sketch the graph of the y=f(x). Clearly indicate all asymptotes.

Answers

To evaluate the limits, we substitute the given values into the function.
limx→0+ f(x) Substituting x = 0 into f(x), we get:
f(0) = 2(0)^3 - 10(0)^2 + 6(0)^3 - 0 + 5
f(0) = 0 - 0 + 0 - 0 + 5
f(0) = 5


limx→5+ f(x)
Substituting x = 5 into f(x), we get:
f(5) = 2(5)^3 - 10(5)^2 + 6(5)^3 - 5 + 5
f(5) = 2(125) - 10(25) + 6(125) - 0
f(5) = 250 - 250 + 750
f(5) = 750
limx→5- f(x)
Substituting x = 5 into f(x), we get:
f(5) = 2(5)^3 - 10(5)^2 + 6(5)^3 - 5 + 5
f(5) = 2(125) - 10(25) + 6(125) - 0
f(5) = 250 - 250 + 750
f(5) = 750


As x approaches infinity, the leading term with the highest power dominates. Thus, we only consider the term 2x^3. The limit as x approaches infinity of 2x^3 is infinity. As x approaches negative infinity, the leading term with the highest power dominates. Thus, we only consider the term 2x^3. The limit as x approaches negative infinity of 2x^3 is negative infinity. we need to set the denominator of the function equal to zero and solve for x. In this case, there are no vertical asymptotes because the denominator of the function does not equal zero for any values of x.

To know more about  limits visit:

https://brainly.com/question/12207539

#SPJ11

1a) To evaluate the limit limx→0+ f(x), we substitute 0 into the function f(x). This gives us f(0) = 2(0)^3 - 10(0)^2 + 6(0)^3 - 0 + 5 = 0 + 0 + 0 + 0 + 5 = 5.

1b) To evaluate the limit limx→0- f(x), we substitute 0 into the function f(x). This gives us f(0) = 2(0)^3 - 10(0)^2 + 6(0)^3 - 0 + 5 = 0 + 0 + 0 + 0 + 5 = 5.

1c) To evaluate the limit limx→5+ f(x), we substitute 5 into the function f(x). This gives us f(5) = 2(5)^3 - 10(5)^2 + 6(5)^3 - 5 + 5 = 2(125) - 10(25) + 6(125) = 250 - 250 + 750 = 750.

1d) To evaluate the limit limx→5- f(x), we substitute 5 into the function f(x). This gives us f(5) = 2(5)^3 - 10(5)^2 + 6(5)^3 - 5 + 5 = 2(125) - 10(25) + 6(125) = 250 - 250 + 750 = 750.

1e) To evaluate the limit limx→∞ f(x), we analyze the highest power of x in the function. As x approaches infinity, the highest power of x dominates the function. In this case, the highest power is x^3. So, the limit is positive infinity.

1f) To evaluate the limit limx→-∞ f(x), we analyze the highest power of x in the function. As x approaches negative infinity, the highest power of x dominates the function. In this case, the highest power is x^3. So, the limit is negative infinity.

2) To find the vertical asymptotes, we need to determine the values of x that make the denominator of the function equal to zero. From the function f(x), we see that x = -1 and x = 5 are the values that make the denominator zero. Therefore, the vertical asymptotes are x = -1 and x = 5.

To find the horizontal asymptote, we analyze the highest power of x in the function. In this case, the highest power is x^3. So, the degree of the numerator is higher than the degree of the denominator, which means there is no horizontal asymptote.

3) To sketch the graph of f(x), we can start by plotting points using the x and y values obtained from evaluating the function at different values of x. We can use the information from the limits to determine the behavior of the graph near certain x-values.

- The graph approaches 5 from both sides as x approaches 5. Therefore, we have a "hole" or "removable discontinuity" at x = 5. We can represent this as an open circle on the graph.
- The graph approaches 5 as x approaches negative infinity and positive infinity. This indicates a horizontal line at y = 5. We can draw a horizontal line passing through the point (0, 5) on the graph.
- The graph approaches negative infinity as x approaches negative infinity and positive infinity. This indicates that the graph goes downwards as x increases and decreases. We can draw a curve that goes downwards on both sides of the graph.

Additionally, we can plot more points by substituting different values of x into the function to get a clearer picture of the graph.

learn more about graphs

https://brainly.com/question/17267403

#SPJ11

SUPER EASY! FRACTIONS PLS HELP!

a kindergraten teacher has a bucket of 51 crayons and another bucket of 5 redpencils,14 blue pencils and 6 green pencils.the bucket of crayons contains 19 red crayons ,17 blue crayons 9 green crayons and 6 yellow crayons.

1.what is the fraction of green crayons to the total number of crayons written in simplest form

2.the teacher places the crayons and pencils in one bucket what is the fraction of yellow crayons and green pencils wriiten in simplest form

3.penicls come in boxes of 6 the number of boxes of blu pencils in the bucket can be represented by the mixed numeral 2 2/6 what is the number of boxes in simplest form?

Answers

Answer:

1: 1/3

2: 3/19

3: 7/3

Step-by-step explanation:

Help please, please only answer if you know, 20 points.

Help please, please only answer if you know, 20 points.

Answers

Answer:

Slope=8

Step-by-step explanation:

Help please, please only answer if you know, 20 points.
Other Questions
change may happen by accident or it may be planned?True or false? a company has given you the task to research the salary of thirty-five-year-olds in new york city. would you be more interested in looking at the mean, median, or mode? what is meant by rectangle in this context This specially hard for Madison but she will have to deal with it for one Day. where does the comma go? Which of these supreme court cases declared separate but equal is constitutional?1. Plessy Ferguson 2. Miranda vs Arizona3. Brown vs Board of educationor 4. Mapp Vs Ohio The length of arc ABC is 110ft what is the radius of circle D How do you calculate working capital investments? Trey is encouraging his principal to allow the school to host a donation drive for community homeless shelter. What method should Trey use to most effectively convince his principal to approve his plan? Consider an atom of Sulfur. Predict one atom in the same group which is larger than a sulfur atom, and one which is smaller. Using these trends and your understanding of Coulomb's Law, analyze how forces of attraction and repulsion affect the size of an atom. The owners of Yogenomics need to set up their genomics lab for RNA seq. In particular they are interested in carrying out differential gene expression analysis in bacterial cells. To answer this question, you will need to use your knowledge of preparing DNA and RNA samples for sequencing with Illumina short-read sequencing technologies. You may need to go to the suppliers websites to find the names of the required reagents and equipment, and to make sure that they suit your intended application. You may also find it helpful to search out some of the items in table 1 to figure out what they can, and cannot, do. You do not need prices or catalogue numbers. Give yourself 1-2 pages to answer this question.i. Make a flowchart that clearly shows the major steps of an RNAseq experiment. The flowchart should start from RNA isolation and finish with fastQ file generation, and should indicate the output from each step. Indicate which steps are different from DNA sequencing, and which steps are the same as DNA sequencing. Your flowchart will provide an overview of the RNAseq experiment, and you do not need to provide each protocol step. For example, if you were to have a step for Genomic DNA isolation, you do not need to include "step 1. Disrupt cell membrane, step 2 etc." (8 marks for including relevant steps and details, 6 marks for clarity and ease of following the diagram).ii. Leave some space around your flowchart so that you can draw an arrow from each of the flowchart boxes that indicate a step that is specific to RNAseq (and not DNAseq). Indicate what reagents or kits and/or equipment that are needed to fulfil this extra step (4 marks for correctly identifying the correct items, 2 marks for clarity and ease of following the diagram).iii. Justify why each of these additional reagents/kits or equipment are needed. These can be incorporated as numbered bullet points underneath the flowchart (5 marks for correct reasons, 5 marks for sufficient detail and clarity of expression). Lovaas and simmons (1969) shocked john, an intellectually disabled child, each time he hit himself during shock sessions. the results demonstrated that:_________ aMaZon is taking forever to ship my tablet. answer with problems you've had with aMaZon 49 POINTS ANSWER AND SHOW WORK,, Stewart loves playing Genshin Impact so much that he forgets to do his schoolwork. Its really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to represent this situation. A products value depends both on its utility and its scarcity.True or false Round 8,162 to the nearest thousand Help Please!!!Astronomers predicted that radiation would be present in the form of microwaves asevidence for an expanding universe. Why would they predict microwaves as opposed tsomething like gamma rays or X-rays? 4. Either you or your sister have to take notes on the lecture.Subject verb agreement 7A gene is a segment of DNA on a chromosome. How are genes related to the proteins made by a cell?OA. The structure of the genes in a cell is unrelated to the structure of the proteins made by the cell.OB. All genes in a cell have the same exact structure, so all genes code for the same exact set of proteins.OC. The structure of the genes in a cell determines the structure of the proteins made by the cell.OD. All genes in a cell have the same exact structure, but each gene codes for a different set of proteins.ResetSubmit which nutrient provides more calories per gram than any other nutrient?A. proteins. B. carbohydrates.C. fats. D. minerals. briefly describe your experience with track and field running (this is for a track and field survey)