Let V be the set of all 3x3 matrices with Real number entries, with the usual definitions of scalar multiplication and vector addition. Consider whether V is a vector space over C. Mark all true statements (there may be more than one).

a. The scalar closure axiom is satisfied
b. The additive inverse axiom is not satisfied
c The additive inverse axiom is satisfied
d. The additive closure axiom is not satisfied
e. The scalar closure axiom is not satisfied
f. The additive closure axiom is satsified
g. V is not a vector space over C
h. V is a vector space over C
i. The zero axiom is satisfied
j. The zero axiom is not satisfied

Answer:

x+120°+20°=180°[ sum of interior angle of triangle]

x+140°=180°

x=40°

then,

x+y= 180°[being straight line]

40°+y= 180°

y=140°

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Triangles QST and QSR are congruent, so angle QST is congruent to angle QSR.

  (3x +24)° = 30°

  3x = 6 . . . . . . . . . divide by °, subtract 24

  x = 2 . . . . . . . . . . divide by 3

__

Additional comment

What matters here is the relationship between the two marked acute angles. The fact that point Q is equidistant from the sides of angle TSR tells you that QS is an angle bisector and the two angles have equal measures. (The definition of an angle bisector is that it is equidistant from the sides of the angle.)

Recognition that the two triangles are congruent is another way to see that the marked acute angles have the same measure. The triangle congruence can be claimed on the basis of the HL theorem, since both are right triangles, have the same hypotenuse (QS), and have legs (QT, QR) with the same measure.

Step-by-step explanation:

As a ream or

500

sheets of paper weigh

4.818

pounds

One sheet of paper weighs

4.818

500

=

0.009636

pounds.

It is apparent that pound is too big a unit for a sheet of paper.

As each pound has

16

ounces, one can say

one sheet of paper weighs

0.009636

×

16

=

0.154176

ounces.

If ounce is too big, as we have

1

pound equal to

28.34952

grams

one sheet of paper weighs

0.154176

×

28.34952

≈

4.371

grams

please mark as brainliest

Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

Answer:

2/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Add all of the Maintenance costs up, divide by 80. (the number of costs).

Excel formula =SUM(F2:F81)  364151.00/80 = 4551.8875 Rounded to 4552 is your answer.

49 dollars

Step-by-step explanation:

14 times 3 is 42 and 3.50 times 2 is 7, so 42 plus 7 is 49.

Total cost with 2 snacks = $35

Total cost with x  snacks = 28+3.50x

Given :

Carson is going to see a movie and is taking his 2 kids. Movie ticket costs $14 and snacks cost $3.50.

Explanation :

Carson buys 2 snacks . we need to find the total cost that Carson have to pay where he buy 2 snacks.

Total cost = cost of ticket (2 kids) + cost of 2 snacks

[tex]Total \; cost = 14(2) + 2(3.50)=35[/tex]

Total cost with 2 snacks = $35

Total cost with x snacks = cost of ticket (2 kids) + cost of x snacks

[tex]Total \; cost = 14(2) + 3.50(x)\\Total \; cost = 28+3.50x[/tex]

Total cost with x  snacks = 28+3.50x

Learn more :  brainly.com/question/17565961

Answer:

o ye}x+3 and 3x –y> 2 system of linear inequalities is represented by the graph.

PLEASE LET ME KNOW IF ¡ AM WRONG!

The system of linear inequalities represented by the graph is

y ≥ (1/3)x + 3 and 3x - y  > 2

Option A is the correct answer.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =≤

Greater than and equal = ≥

We have,

We see that,

When we graph,

y ≥ (1/3)x + 3 and 3x - y  > 2 we get the graph shown.

y ≥ (1/3)x + 3

This inequality is positive on the y-axis.

3x - y  > 2

3x > 2 + y

This inequality is positive on the x-axis.

Thus,

The system of linear inequalities represented by the graph is

y ≥ (1/3)x + 3 and 3x - y  > 2

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ7

Answer:

2.04 miles per hour

Step-by-step explanation:

Given

Noel

[tex]n_1 =6miles[/tex]

[tex]r_1 = 2mph[/tex]

Casey

[tex]c_1 = 8miles[/tex]

[tex]r_2 =1mph[/tex]

Required

The rate at which the distance increases

Their movement forms a right triangle and the distance between them is the hypotenuse.

At [tex]n_1 =6miles[/tex] and [tex]c_1 = 8miles[/tex]

The distance between them is:

[tex]d_1 = \sqrt{n_1^2 + c_1^2}[/tex]

[tex]d_1 = \sqrt{6^2 + 8^2}[/tex]

[tex]d_1 = \sqrt{100}[/tex]

[tex]d_1 = 10miles[/tex]

After 1 hour, their new position is:

New = Old + Rate * Time

[tex]n_2 = n_1 + r_1 * 1[/tex]

[tex]n_2 = 6 + 2 * 1 = 8[/tex]

And:

[tex]c_2 = c_1 + r_2 * 1[/tex]

[tex]c_2 = 8 + 1 * 1 = 9[/tex]

So, the distance between them is now:

[tex]d_2 = \sqrt{n_2^2 + c_2^2}[/tex]

[tex]d_2 = \sqrt{8^2 + 9^2}[/tex]

[tex]d_2 = \sqrt{145}[/tex]

[tex]d_2 = 12.04[/tex]

The rate of change is:

[tex]\triangle d = d_2 -d_1[/tex]

[tex]\triangle d = 12.04 -10[/tex]

[tex]\triangle d = 2.04[/tex]

Explanation:

P(T = 1) is the notation that means "The probability of getting exactly one tail". The table shows 3/8 in the bottom row, under the "1" in the top row. So that's why P(T = 1) = 3/8

Or it might make more sense to say P(one tail) = 3/8 so we don't have too many equal signs going on.

Answer:

Step-by-step explanation:

you need to find how much food is used for 1 person then times that answer by 100 to find how much food is needed

Step-by-step explanation:

Since he sold $70,834 worth of cars, he earned an extra 5% commission on the sale. That means he got

0.05×($70,834) = $3,541.70

Therefore, his salary for the month m is

m = $2250 + 0.05s = $2,250 + $3,541.70 = $5,791.70

Answer:

10 miles

Step-by-step explanation:

10 miles= 16093.44km

44880ft=13.679424km

15560yards= 14.228064

Answer:

Slope = 3

intercept = 2

y = 3x + 2

angle y = 70

angle x = 110

Step-by-step explanation:

Answer:

10

Step-by-step explanat

ion:  

Answer:

c. The data are continuous because the data can take on any value in an interval.

Step-by-step explanation:

Discrete data are those which can take up only specific values. Discrete data values may include the number of children in a particular school, the number of visitors received per day. All this values are specific and cannot just take up any number one f values within an interval. Continous data on the other hand can take up any number of data values between an interval. Continous data types are usually height temperature, length(distance data). There can be infinite number of possible data within interval values.

Answer:

A.

Step-by-step explanation:

When x = -3 g(x) = + 2 and this is the maximum value of g(x).

All other values of x give a value of g(x) < 2.

The range is (-∞, 2]

1. 3

29-9=19

13+9=22

22-19=3

I don't know number 2, sorry.

Answer:

[tex] \frac{7.5}{x } = \frac{6}{4} \\ 6x = 30 \\ x = 5 [/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The measures of [tex]x[/tex] and [tex]y[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

[tex] 40° = 70° + y[/tex]

[tex]➪ \: y= 40° - 70°[/tex]

[tex]➪ \: y = - 30°[/tex]

Also,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

[tex]y[/tex] + [tex]x[/tex] = [tex]180°[/tex]

[tex]➪ \: -30° + x= 180°[/tex]

[tex]➪ \:x = 180° + 30°[/tex]

[tex]➪ \:x = 210°[/tex]

[tex]\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:"x=210°"\:and\:"y=-30°.}[/tex]

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

While

Answer:

(3x) ° + (x+ 10)° = 90°

Step-by-step explanation:

(3x) ° + (x+ 10)° = 90°

3x + x + 10 = 90

4x = 90 - 10

4x = 80

x = 20

(3x) ° = 3 x 20 = 60°

(x + 10)° = 20 + 10 = 30°

Answer: you can either do 3x°(x+10)° or (x+10)°+3x°

the choice is yours. Hope this helps

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

Answer:

f(g(x)) = 15x + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x + 7

g(x) = 3x - 1

Step 2: Find

Answer:

option D

Step-by-step explanation:

[tex]9x^2 + 6x - 17 = 0 , \ where \ a = 9 \ , \ b = 6 \ , c = - 17[/tex]

[tex]x = \frac{ - b \ \pm \sqrt{b^2 - 4ac}}{2a} \\\\x = \frac{-6 \pm \sqrt{36 - (4 \times 9 \times -17)}}{2 \times 9}\\\\x = \frac{-6 \pm \sqrt{ 36 + 612}}{18}\\\\x = \frac{-6 \pm \sqrt{ 648}}{18}\\\\x = \frac{-6 \pm \sqrt{ 2^3 \times 3^4}}{18}\\\\x = \frac{-6 \pm \sqrt{2 \times 2^2 \times 3^ 4 }}{18}\\\\x = \frac{-6 \pm ( 2 \times 9 )\sqrt{ 2}}{18}\\\\x = \frac{-6 \pm 18\sqrt{2}}{18}\\\\x = \frac{-1 \pm 3 \sqrt{ 2}}{3}[/tex]

Answer:

use 0-9 to fill in blanks

Step-by-step explanation:

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

When sample size increases:

The standard deviation of the sample mean is:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

Answer:

3 gallons of carpet shampoo

Step-by-step explanation:

room area: 16 * 15 = 240 ft

1 gallon carpet shampoo: 80 ft

240/80 = 3

3 gallons of carpet shampoo are needed.