Simplify the following surd expressions
a) 7/3 - 2/3 + V3 - 3V3

Answers

Answer 1

Answer:

[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]    

Step-by-step explanation:

Given the expression

[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3[/tex]

solving the expression

[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}[/tex]

combine the fractions i.e [tex]\frac{7}{3}-\frac{2}{3}=\frac{5}{3}[/tex]

[tex]\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}[/tex]

add similar elements  i.e [tex]\sqrt{3}-3\sqrt{3}=-2\sqrt{3}[/tex]

                                 [tex]=\frac{5}{3}-2\sqrt{3}[/tex]      

Thus,

[tex]\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}[/tex]                        


Related Questions

J has a loan of $42,350. This loan has a simple interest rate of 8% per year. What is the amount
of interest that will be charged on this loan at the end of two years?

Answers

Answer:

6776

Step-by-step explanation:

8℅ = 0.08

0.08 x 42350 = 3388

3388 x 2 = 6776

Can someone please help me graph this​

Answers

Tbh ion really know what the “using x” thing really means but this is what I got x=-2

In an isosceles triangle, the measure of a base angle is (2x+5)° . At the vertex the measure of an exterior angle is (5x-3)°
There will be an extention at the vertex

Answers

Answer:51.14

Step-by-step explanation:since its an isosceles triangle all interior angles are gonna be equal the exterior angle plus interior angle is will be kept equal to 360

2x+5+5x-3=360

7x+2=360

7x=358

x=51.14

The measure of each angle is 31, 31 and vertex angle is 118.

What is Exterior angle Property?

If a triangle side is created, the outside angle that results is equal to the product of the two opposite internal angles.

Given:

Base angle = (2x+ 5) and Vertex = (5x- 3)

So, We know that the exterior angle is equal to sum of opposite interior angle

5x- 3 = 2x+ 5 + 2x + 5

5x - 3= 4x + 10

x= 13

Thus, Each angle measure 2(13)+ 5 = 31 and

third angle = 180 - (5x- 3) = 180- 62 = 118

Hence, the measure of each angle is 31, 31 and vertex angle is 118.

Learn more about  Exterior angle Property here:

https://brainly.com/question/19562895

#SPJ2

MATH AGAIN HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I think it is the first one but i could be wrong

Which pairs of rational numbers are equivalent? Select all that apply. -0.5 and Negative one-half 0.ModifyingAbove 7 with barand StartFraction 7 over 10 EndFraction StartFraction 11 over 20 EndFractionand 0.55 StartFraction negative 1 over 50 EndFractionand -0.02 0.15 and 0.1ModifyingAbove 5 with bar In the last ten games, Jamal made 7 9 of his free throws and Brian made 5 8 of his free throws. Which player has the better record? Explain.

Answers

Answer:

[tex]-0.5[/tex] and [tex]-\dfrac{1}{2}=0.5[/tex]

[tex]\dfrac{11}{20}=0.55[/tex] and [tex]0.55[/tex]

[tex]\dfrac{-1}{50}=-0.02[/tex] and [tex]-0.02[/tex]

Jamal

Step-by-step explanation:

The statements are

[tex]-0.5[/tex] and [tex]-\dfrac{1}{2}=0.5[/tex]

They are equivalent

[tex]0.\bar{7}=0.7777\dots[/tex] and [tex]\dfrac{7}{10}=0.7[/tex]

They are not equivalent.

[tex]\dfrac{11}{20}=0.55[/tex] and [tex]0.55[/tex]

They are equivalent.

[tex]\dfrac{-1}{50}=-0.02[/tex] and [tex]-0.02[/tex]

They are equivalent

[tex]0.15[/tex] and [tex]0.1\bar{5}=0.15555\dots[/tex]

They are not equivalent.

Jamal's record [tex]\dfrac{7}{9}=0.\bar{7}[/tex]

Brian's record [tex]\dfrac{5}{8}=0.625[/tex]

[tex]0.\bar{7}>0.625[/tex]

So, Jamal's record is better.

Answer:

A C D

Step-by-step explanation:

did the quizz good luck <3

PLEASE HELP ME :(

What is the length of the midsegment AB?

Answers

31 31- I'm just dragging this out cause the thing wants me to type more

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

Felix graphed a system of equations that had no solution. The first equation he graphed was y = {c - 7. PLEASE HELP What was the second equation he graphed?
Answer
A y = 3x + 2
B 3y - I= -21
Cy- 2 = {(x + 1)
Dy - 3x = -7

Answers

Answer:

Choice C

Step-by-step explanation:

First when we are looking for a system of equations that has no solution we are looking for two lines that won't intersect and the only lines that would never intersect are parallel lines.

Ok so what we are looking for is an equation with the same slope but different y-intercept. A parallel line should go at the same rate like the other line but shouldn't start at the same point.

[tex]y=\frac{1}{3}x-7[/tex]

Analysing Choice A:

[tex]y=3x+2[/tex]

We just said that the slope has to be the same so this one can't be it.

Analysing Choice B:

For this one we have to put it in slope-intercept-form.

[tex]3y-x=-21\\3y=x-21\\y=\frac{1}{3}-7[/tex]

So we see that the slope is the same for this one and and the y-intercept is also the same which is NOT what we need so on tho the next one.

Analysing Choice C:

For this one we also have to put it in slope-intercept-form.

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

We see that the slope are the same and the y-intercept are different so this is the one we are looking for.

Sorry but for the sake of time I won't analyze choice D.

what is 457.894 to 2 deimal places

Answers

Answer:

228.947

Step-by-step explanation:

Answer:

457.894

Step-by-step explanation:

"What is 457.894 rounded to 2 decimal places?" is the same as asking, "What is 457.894 rounded to two decimal points?" or "How to round 457.894 to two decimal places."

The main point is that you want to round 457.894 to two digits or places after the decimal point. Thus, we want to eliminate the last digit in 457.894. To eliminate the last digit in 457.894, we use the following Two Decimal Places Rules to get the answer:

Two Decimal Places Rule #1: If the last digit in 457.894 is less than 5, then remove the last digit.

Two Decimal Places Rule #2: If the last digit in 457.894 is 5 or more and the second to the last digit in 457.894 is less than 9, then remove the last digit and add 1 to the second to the last digit.

Two Decimal Places Rule #3: If the last digit in 457.894 is 5 or more and the second to the last digit in 457.894 is 9, and the third to the last digit is less than 9, then remove the last digit, make the second to last digit 0, and add 1 to the number to the third to the last digit.

Two Decimal Places Rule #4: If the last digit in 457.894 is 5 or more and the second to the last digit is 9, and the third to the last digit is 9, then add 1 to the number on the left side of the decimal point and make the right side of the decimal point 00.

When rounding 457.894 to two decimal places we use Two Decimal Places Rule #1. Therefore, the answer to "What is 457.894 rounded to 2 decimal places?" is:

457.89

The diagram represents an 11 cm by 6 cm rectangle.
11 cm
6 cm
Calculate the perimeter of the rectangle.

Answers

the perimeter is 34cm

I'm looking for people with common interests.. who watches anime reads yaoi and writes fanfiction???
Dont answer if your not into these.

Answers

I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)

Answer:

I love similar things.

Step-by-step explanation:

Sometimes enjoy drawing anime and drawing period. I also really enjoy writing novels/fanfictions. Maybe not as much as I love reading them, though.

I hope this is what you're looking for! :D

(picture included) brainliest

Answers

Answer: 20

Step-by-step explanation:

What is two over four divided by one over two

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Please help!!! thank you!!! *will give brainliest*

Answers

Answer: Choice C

[tex]y = x^2+2, \ x \ge 0[/tex]

=============================================

Work Shown:

[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]

Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]

The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)

So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]

PLEASE LOOKS AT PHOTO it’s due tonight i’m struggling badly :(

Answers

Answer: y=6.32
7^2-3^2=40


Answer:

y = 6.32

Step-by-step explanation:

7^2-3^2= 40

hope it helped

What is the range of fx) = 3^x
A. All positive real numbers
B. All real numbers greater than 3
C. All real numbers
D. All real numbers greater than or equal to 3

Answers

Answer:

d brainest plz

Step-by-step explanation:

4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.

Answers

What’s standard form again? I forgot

whats the answer giving brainliest:)(::::::::::::::::::::::::::::::::::;;;

Answers

Answer:

it is definately b

Step-by-step explanation:

i got u 100

Answer:

B. Yes, She did the problem correctly

Step-by-step explanation:

ye dat's all there is

Answers

Answer: It $7.80 per hour

Hi hi

Step-by-step explanation:

what would y=x +5 look at on a graph

Answers

I think it will look like this

In which pair of triangles is Triangle E F G is congruent to triangle R T S?

For triangles G E F and S R T, sides E G and S T are congruent, sides G F and S R are congruent, and sides E F and R T are congruent.
For triangles G F E and S T R, sides E G and T R are congruent, sides G F and T S are congruent, and sides E F and S R are congruent.
For triangles G F E and R S T, sides E G and R S are congruent, sides G F and R T are congruent, and sides E F and T S are congruent.
For triangles E G F and T S R, sides E G And S R are congruent, sides G F and S T are congruent, and sides E F and T R are congruent.

Answers

Answer:

Step-by-step explanation:Last pair of triangles represent congruence.

Step-by-step explanation:

If , it can be deducted the following:

Also,

Notice that the last imag shows the correct congruence, because it shows the congruence between sides as we said before.

Answer:

D

Step-by-step explanation:

I am doing the test

You buy 80 of your favorite songs from a Web site that charges $0.99 for each song What is the cost of 80 songs?

Answers

Answer:

$79.20

Step-by-step explanation:

0.99 x 80 = 79.2

Hope this helps. (:

a line passes through the point (10, -9) and has a slope of -3/2. write an equation in slope-intercept form for this line.

Answers

Slope intercept: y = mx + b
Plug in the slope
Y = -3/2x + b
Plug in the point
-9 = -3/2(10) + b, b = 6
Equation: y = -3/2x + 6

what is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee

Answers

Answer:

plus 4 every time

Step-by-step explanation:

1+4=5+4=9+4=13+4=17

15:59:26
Which inequality has -12 in its solution set?
B
D
X+6<-8
H10
X+55-4
A
B
C

Answers

Answer:

D

Step-by-step explanation: I just took the quiz.

writing equation line

Answers

Answer:

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

^           ^

life        Death

Karen, Susan, and Meg are all in a workout program. Susan lost three less than twice as many pounds as Karen. Meg lost seven more than three times as many pounds as Karen. The three lost a combined total of 40 pounds. How many pounds did Karen lose?

-3
6
9
25

Answers

Answer:

Karen will get mad because, Susan lost so much weight than her, she will call the police, rant to the manager of the program, cuss at Susan then get banned from the program and go to jail.

Step-by-step explanation:

That's what would REALLY happen, or did you want me to answer the math problem?

An angle pair that is on the exterior of two lines but on opposite sides of the transversal.

Answers

Alternate exterior angles are angles outside the lines being intersected, on opposite sides of the transversal, and are not adjacent. In Figure 2 , ∠l and ∠7 are alternate exterior angles. Also, ∠2 and ∠8 are alternate exterior angles.

Which of the following is equivalent to the complex number i^16?

Answers

Answer:

A

Step-by-step explanation

i = [tex]\sqrt{-1}[/tex]

i² = ([tex]\sqrt{-1}[/tex] )² = - 1

i³ = i² × i = - 1 × i = - i

[tex]i^{4}[/tex] = i² × i² = - 1 × - 1 = 1 , then

[tex]i^{16}[/tex]

= [tex](i^4)^{4}[/tex]

= [tex](1)^{4}[/tex]

= 1

Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

p= 18,275

Step-by-step explanation:

The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.

Did it help at all?


A cylinder has height 20cm.
The area of the circular cross section is 74cm.
Work out the volume of this cylinder

Answers

Answer:

volume= l*b*h

So, Volume=area*height

= 74*20

=1480cm³

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