Determine whether the linear transformation T is invertible by considering its matrix with respect to the standard bases.

T : P_2 → P_2 defined by

T(p(x)) = p(x) + p'(x)


If T is invertible, use the theorem below to find the inverse of T (attached).

Determine Whether The Linear Transformation T Is Invertible By Considering Its Matrix With Respect To

Answers

Answer 1

Answer:

it is invertible

Step-by-step explanation:


Related Questions

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.
The owner of a football team claims that the average attendance at games is over 642, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.
b) There is sufficient evidence to support the claim that the mean attendance is less than 642.
c) There is sufficient evidence to support the claim that the mean attendance is greater than 642.
d) There is not sufficient evidence to support the claim that the mean attendance is less than 642.

Answers

Answer:

a) There is not sufficient evidence to support the claim that the mean attendance is greater than 642.

Step-by-step explanation:

since in the question it is mentioned that the average attendance at games should be more 642 and according to this he moving the team with a larger stadium. Also the hypothesis conducted and the conclusion would be failure to deny the null hypothesis

So here the conclusion that should be made in non-technical term is that there should be no enough proof in order to support the claim that the mean attendence is more than $642

ANSWER THIS ASAP NO FILE AT ATT!! THIS MY LAST QUESTION JUST GET IT RIGHT PLEASE

Answers

Answer:

I believe the answer is A

Answer:

A is your answer I think

Step-by-step explanation:

maybe wait for someone else to answer as well haha

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

supplementary angle

Step-by-step explanation:

angles 6 and 8 are same side exterior angles

The second one is the answer good luck

What is the sum of 3 1/4 and 4 3/4 simplify answer

Answers

Answer:

8

Step-by-step explanation:

3  1/4

+4  3/4

----------------

7   4/4

But we know 4/4 = 1

7 +1

8

Answer:

8

Step-by-step explanation:

3 and 1/4 + 4 and 3/4 =

3+4+1/4 +3/4

= 3+4+4/4  because 4 fourths is one whole

=3+4+1 = 8

don invested $ 5 000 in an account paying 5% simple interest per year for 7 years. a) how much interest will don earn at the end of 7 years?b) how much will be in Don's account at the end of 7 years?

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Initial investment (P)= $5,000

Interest rate (r)= 5% simple interest

Number of periods (t)= 7 years

To calculate the interest earned, we need to use the following formula:

I= P*r*t

I= 5,000*0.05*7

I= $1,750

To calculate the future value of the investment, we need to use the following formula:

FV= I + P

FV= 1,750 + 5,000

FV= $6,750

Which fraction is equivalent to 1/6

1/3
2/8
3/24
4/24​

Answers

Answer:

the last one- 4/24

Step-by-step explanation:

ive answered this question before and got it correct

4/24 is the right answer for this question

You have 10 shirts. How many ways can
you select 5 shirts to pack for a trip?

Answers

Answer:

their is 50 ways.......

The possible combination, 252 ways you can pack shirts for a trip.

What is a permutation?

Mathematical calculations are used to determine the number of different configurations for a given set, and this procedure is referred to as permutation. A permutation is a phrase that, simply put, refers to the diversity of alternative configurations or ordering. When employing permutations, the sequence of the arrangement is crucial.

Formula for combination is

n!/(r! x (n-r)!),

where n is a number of shirts and r is the shirts selected.

In combination,

order doesn’t matter, as opposed to permutation.

According to the question,

n = 10 and r = 5

Then substituting the above values to the formula,

that means,

10! / ( 5! x 5!)

= 10x9x8x7x6 / ( 5x4x3x2x1)

= 252

Therefore, You can pack 5 shirts in 252 ways.

To learn more about the permutation;

https://brainly.com/question/1216161

#SPJ2

pls helpppppppp meee i dont wanna faillll

Answers

Answer:

D, No trend or association


In the figure, side AB is given by the expression 1 + 3, and side BC is 21 – 4.
The simplified expression for the area of rectangle ABCD is

Answers

Answer:

[tex]\text{Area}=\frac{15(x+1)}{2(x-2)}[/tex]

Step-by-step explanation:

Length of the rectangle given in the picture = [tex]\frac{5x+5}{x+3}[/tex]

Width of the rectangle = [tex]\frac{3x+9}{2x-4}[/tex]

Area of the rectangle = Length × Width

                                    = [tex]\frac{5x+5}{x+3}\times \frac{3x+9}{2x-4}[/tex]

                                    = [tex]\frac{5(x+1)}{x+3}\times \frac{3(x+3)}{2(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)(x+3)}{2(x+3)(x-2)}[/tex]

                                    = [tex]\frac{15(x+1)}{2(x-2)}[/tex]

Therefore, area of the given rectangle is [tex]\frac{15(x+1)}{2(x-2)}[/tex].

256-x²/4
factorise in process​

Answers

Answer:

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Step-by-step explanation:

The given expression is : [tex]256-\dfrac{x^2}{4}[/tex].

We need to factorize it.

We know that, 16² = 256

So,

[tex]256-\dfrac{x^2}{4}=(16)^2-(\dfrac{x}{2})^2[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]16^2-(\dfrac{x}{2})^2=(16+\dfrac{x}{2})(16-\dfrac{x}{2})[/tex]

Hence, this is the required solution.

How many solutions does the equation have? 7x +3 - x=3(1 + 2x) (A) 0 (B) 1. (C) infinitely many​

Answers

Answer:

C) Infinitely many

Step-by-step explanation:

7x+3-x=3(1+2x)

6x+3=3+6x

Subtract 3 from both sides

6x = 6x

Infinitely many solutions

1. Richard bought 4 shirts that cost $85 all together. Each shirt cost the same
amount. The model below represents this situation.




Which equation below and solution for x does the model represent?
A 2x + 2x = 85, x = 42.50

B 4 + x = 85, x = 21.25


C x + x + x + x = 85, x = 21.00

D 4x = 85, x = 21.25

Answers

Answer: D

Step-by-step explanation:

Need help on this please tell me the answer

Answers

Answer:

your answere is 80 degrees

Step-by-step explanation:

the total of the inside is 180 so subtract 35 and 65 from 180 and you get 80

Henry is mixing concrete.To make
concrete he needs to mix cement,
sand and gravel in the ratio 4:3:1 by
weight. Henry needs to make 120 kg
of concrete. He has 65 kg of cement,
40 kg of sand and 15 kg of gravel.
Which ingredient is Henry short of?

Answers

Answer:

Sand

Step-by-step explanation:

120kg = (4 + 3 + 1) units = 8 units

1 unit = 120 ÷ 8 = 15kg

Calculating required quantities:

Cement: 4 units = 4(15) = 60kg

Sand: 3 units = 3(15) = 45kg

Gravel: 1 unit = 1(15) = 15kg

Comparing these values to those given in the question, he is short of sand.

5y - 2y = 3y + 2
please help.

Answers

It’s 0 = 2 I hope this helps a bit

What is the m angle3 ?

Answers

The measure of m<3 is 105 degrees

Using the law that states that the sum of an interior angle of a rectangle is equal to the exterior.

From the given diagram;

m<X + m<Y = m<3

Given that m<X= 55 degrees and m<Y = 50 degrees

m<3 = 55 + 50

m<3 = 105 degrees

Hence the measure of m<3 is 105 degrees

Learn more here: https://brainly.com/question/24193697

Find the value of x UREGENT HELP PLEASE

Answers

Answer:

15.3

Step-by-step explanation:

Cos 32 = x/18

Cos 32 = 0.848048096

x/18 = 0.848048096

x = 15.3 (rounded)

A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long, 7.5 meters wide, and 5.6 meters high. What is the volume, round to the nearest cubic meter, of the aquarium?
A. 280
B. 623
C. 1288
D. 962

Answers

Answer:

1288 c m 3

Step-by-step explanation:

To work out volume, you just do the simple calculation of height x width x length. So what we need to do here is 6 x 7.5 x 22.9 =  

1212.5 c m 3  .

The decimal is a 5 so that is rounded up to give the nearest meter hence the answer to the question is  

1288 c m 3  .

The Sine Function

The tide is the regular rising or falling of the ocean's surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings Point, N.Y. for a 24 hour period.
February 9th through February 10th of 2009.

Use your graphing calculator to produce a sine regression model for the data in the table. Round a, b, c, and d to the nearest 0.0001. Then use your model to predict the height of the tide 30 hours after the original observation.

a. The height of the tide 30 hours after the original observation is -3.27 feet.
b. The height of the tide 30 hours after the original observation is 16 feet.
c. The height of the tide 30 hours after the original observation is 8 feet.
d. The height of the tide 30 hours after the original observation is -0.63 feet.

Please select the best answer from the choices provided

Answers

Answer:

C. The height of the tide 30 hours after the original observation is 8 feet.

Step-by-step explanation:

I calculated it logically

What's the output of a system modeled by the function ƒ(x) = x5 – x4 + 9 at x = 2?
Please Help

A)

24

B)

16

C)

30

D)

25

Answers

Answer:

a

Step-by-step explanation:

please make me Brianlist please

Find the value of 5!
O A. 3125
O B. 20
O C. 120
OD. 25

Answers

Answer:

The answer is 120

Step-by-step explanation:

5! = 120

Thus, The answer is 120

-TheUnknownScientist

Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean’s weekly income is approximately normal with mean $225 and standard deviation $25. The distribution of Evan’s weekly income is approximately normal with mean $240 and standard deviation $15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week?

a. 0.67
b. 0.700
c. 0.227
d. 0.303
e. 0.354

Answers

Answer:

d. 0.303

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

In this question:

We want the probability of Sean having a greater income than Evan, which is the probability of the subtraction of Sean's income by Evan's income is greater than 0.

Distribution of the difference between Sean's and Evan's income:

Sean has mean 225, Evan 240. So

[tex]\mu = 225 - 240 = -15[/tex]

Sean's standard deviation is of 25, Evan's of 15. So

[tex]\sigma = \sqrt{25^2+15^2} = 29.15[/tex]

Probability that Sean will have a greater income than Evan in a randomly selected week:

Probability of the subtraction being greater than 0, which is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-15)}{29.15}[/tex]

[tex]Z = 0.51[/tex]

[tex]Z = 0.51[/tex] has a pvalue of 0.695

1 - 0.695 = 0.305.

Closest to 0.303, option d.

Gabrielle's team scored 18 points the first half of a basketball game and 9 points the second half of the game: Gabrielle scored 1/3 of the points. How many points did Gabrielle score?

Answers

18+9= 27
and if he scored 1/3 of the points i’m pretty sure he’d score 1/3 of 27, which is 9

18+9=27
27 divided by 3=9
the answer would be 9 , gabrielle scored 9 points.

The length of the base of an isosceles triangle is 8 yards. The height of the triangle is 11 yards. Find the area of the triangle.

Answers

The answer would be 44 because you can do 8*11=88 and then divid that be 2

Answer:

A=44yd²

Step-by-step explanation:

What is the area of the figure?
A. 54 cm2
B. 42 cm2
C. 54 cm
D. 42 cm

Answers

Answer

The area is 54cm² To get the area i split the shape into two shape both having a length of 9in and a width of 3in. I calculate the area for one by using lxw=area and get 27 and times that by two to get 54.

When calculating the area for this object you get 54 and you add the ²symbol because its area is not one dimensioned it is two dimensioned or length times width not just length, so you use the ² symbol to show that.

Answer:

the answer is

b.)42cm2

Step-by-step explanation:

if u add all the figures together u will get ur answer

i need help pls!
this test is about angles, and i am having trouble with it.

Answers

Answer:

alternate exterior angles

The answer is the first one

NEED ANSWERS FAST!!! If there are 17 blue and white stripes on the flag and 9 of them are blue, how many are white?

Answers

There are 8 white stripes

When do you use a solid line for graphing a linear inequality?

Answers

Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too

Step-by-step explanation:

A dotted line is there to represent that the equation your graphing is either grater than or less than

So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.

I hope this helps!

Eli is moving to a new city. He packs his belongings in cube-shaped boxes that each have a volume of one cubic foot. He places the boxes in a storage unit that is shaped like a rectangular prism. The floor of the storage unit can be completely covered by a layer of 150 boxes. If 6 layers of boxes can completely fill the storage unit, what is its volume?

Answers

Answer:

jnnm mnn m

Step-by-step explanation:

12 Select the correct answer from each drop-down menu. 4 units 6 units 4 units NIE bi TH 6 units 4 units The total area of the three triangles is square units. The area of the figure is square units. Reset​

Answers

Answer:

Area of three triangles = 36 square units

Area of the composite figure = 60 square units

Step-by-step explanation:

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Area of ΔABC = [tex]\frac{1}{2}(6)(4)[/tex]

                        = 12 square units

Area of ΔCDE = [tex]\frac{1}{2}(4)(6)[/tex]

                        = 12 square units

Area of ΔGEF = [tex]\frac{1}{2}(6)(4)[/tex]

                       = 12 square units

Area of rectangle ACEG = Length × Width

                                        = AC × CE

                                        = 6 × 4

                                        = 24 square units

Area of three triangles = 12 + 12 + 12

                                      = 36 square units

Area of the composite figure = Area of three triangles + Area of the rectangle

= 36 + 24

= 60 square units

Answer:

The total area of the three triangles is 36 square units.

The area of the figure is 60 square units.

Step-by-step explanation:

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