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

Please help me with this

Answers

Answer:

First, we need to find the slope.

Rise/Run

440-410/6-4

30/2 = 15

m = 15

Now we need to find the y-intercept using the slope.

15(4) = 60

410 - 60 = y int

b = 350

y=mx + b

y= 15x + 350

is anyonee uppppppp or is it just me

whats 4 + 4 because i dont know

Answers

the answer is 8 lol

Answer:

8

Step-by-step explanation:

4+4

8

You can rewrite it as

2+2+2+2

8

The answer to this question

Answers

Answer:

25, 21, 13, 5

Step-by-step explanation:

29-4x

x=1, 29-4=25

x=2, 29-8=21

x=4, 29-16=13

x=6, 29-24=5

Solve. 3 /5 x (-8 1/3)=

Answers

The answer is -5x,,,,,,,,,

HELP WILL MARK BRAINLIEST!! Carmen plans to by a $60.00 video game from the Game Shop. There is a 5% sales tax on every game purchase. What is the amount of the sales tax?

Answers

Answer:

$3.00

Step-by-step explanation:

pretty obvious why

Answer:

$3.00

Step-by-step explanation:

To get the amount of the sales tax, multiply the tax rate by the price.

$60.00 x 5% = $3.00

Solve −4m + 5 + 2m = 3 – 4m.

Answers

Answer:

m= -1

Step-by-step explanation:



-4m+5+2m = 3-4m
=> -4m+2m+4m = 3-5
=> 2m = -2
=> m = -2/2 = -1

Answer:

m = -1

Step-by-step explanation:

-4m + 5 + 2m = 3 - 4m

Add up light terms

-2m + 5 = 3 - 4m

Subtract 3 from both sides.

-2m + 2 = -4m

Add 2 to both sides.

2 = -2m

Divide both by -2

Final Answer: m = -1

Translate this sentence into an equation.
21 more than Diane's savings is 74.
Use the variable d to represent Diane's savings

Answers

Answer:

74-21=d or d+21=74

Step-by-step explanation:

Answer:d+21=74 and if you want to solve it would be

get d by itself so minus 21 on both sides 21-21 is

d= 74-21 is 53

so d=53

Step-by-step explanation:


Find the missing side


Answers

Answer:

[tex]\sqrt{29}[/tex]

Step-by-step explanation:

You would use the Pythagorean Theorem: [tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

The a and b is the legs and the c is the hypotenuse

So when you fill it in you get [tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]c^{2}[/tex]

continue to solve the equation 4+25= [tex]c^{2}[/tex]

29 = [tex]c^{2}[/tex]

then you would square root it

c = [tex]\sqrt{29}[/tex]

−5(−x−1)+4x−1= 49 solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

Solve for x:

-1 - 5 (-x - 1) + 4 x = 49

-5 (-x - 1) = 5 x + 5:

(5 x + 5) + 4 x - 1 = 49

Grouping like terms, 5 x + 4 x - 1 + 5 = (5 x + 4 x) + (-1 + 5):

((5 x + 4 x) + (-1 + 5)) = 49

5 x + 4 x = 9 x:

9 x + (-1 + 5) = 49

5 - 1 = 4:

9 x + 4 = 49

Subtract 4 from both sides:

9 x + (4 - 4) = 49 - 4

4 - 4 = 0:

9 x = 49 - 4

49 - 4 = 45:

9 x = 45

Divide both sides of 9 x = 45 by 9:

(9 x)/9 = 45/9

9/9 = 1:

x = 45/9

The gcd of 45 and 9 is 9, so 45/9 = (9×5)/(9×1) = 9/9×5 = 5:

Answer:  x = 5

Answer:

EVALUATE

=9x+4

St−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

EXPAND

=9x+4

−5(−x−1)+4x−1

Use the distributive property to multiply −5 by −x−1.

−5(−x)+5+4x−1

Multiply −5 and −1 to get 5.

5x+5+4x−1

Combine 5x and 4x to get 9x.

9x+5−1

Subtract 1 from 5 to get 4.

9x+4

Perform the operation:
(2x4 + 5x + 8x +24) : (x + 2)

Answers

I hope my answer is correct

8. Present age of Rahul and kiran are in the ratio
5:4. The ratio of their ages will be 6:5 after
5 years.Find kiran's present age.
20 years
25 years
30 years
15 years​

Answers

Answer:

20 years

Step-by-step explanation:

Given the ratio of their ages = 5 : 4 = 5x : 4x ( x is a multiplier )

Then in 5 years

5x + 5 : 4x + 5 = 6 : 5 , that is

[tex]\frac{5x+5}{4x+5}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

5(5x + 5) = 6(4x + 5) ← distribute parenthesis on both sides

25x + 25 = 24x + 30 ( subtract 24x from both sides )

x + 25 = 30 ( subtract 25 from both sides )

x = 5

Thus

Kiran's age is 4x = 4 × 5 = 20

robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples. unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk. what is the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits?

Answers

The probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits approximately 32.9%

Probability:

Probability refers the possibility of occurring a particular event.

Binomial Probability:

Binomial probability refers the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times. The binomial is a type of distribution that has two possible outcomes.

The formula for the binomial probability is,

Pₓ = ⁿCₓ pˣ qⁿ⁻ˣ

Where,

n = the number of experiments

x = 0, 1, 2, 3, 4, …

p = Probability of success in a single experiment

q = Probability of failure in a single experiment

Given,

Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples.

Unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk.

Here we need to find the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits.

Apply the values on the formula,

Then we get,

=> Pₓ=⁵C₄ x (2/3)⁴ x (1/3)

=> Pₓ = 5 x (16/81) x (1/3)

=> Pₓ = 80 / 243

=> Pₓ ≈ 32.9%

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Evan and his dad painted Easter eggs for every egg that Evan painted his dad painted six eggs if Evan painted 13 egg how many eggs were in the hunt

Answers

Answer:

78

Step-by-step explanation:

6x13=78

An Internet website had 500 visitors this month. Suppose that the number of visitors
doubles each month. Which equation can be solved to find x, the number of months
it takes to reach 1,000,000 visitors per month?

Answers

Answer:

10.5

Explanation:

500×2, 1000×2 etc

can someone help me :)) please ASAP !! :)) thanks

Answers

Answer:

angle 2 would be 22

Step-by-step explanation:

A ∠A and ∠ B ∠B are supplementary angles. If m ∠ A = ( 8 x + 6 ) ∘ ∠A=(8x+6) ∘ and m ∠ B = ( 7 x + 24 ) ∘ ∠B=(7x+24) ∘ , then find the measure of ∠ B ∠B.

Answers

Answer:

< B = 94

Step-by-step explanation:

Remark

You should edit the question. The way you wrote it, , it looks like you have to square two binomials. That isn't the way it is given I don't think. You are told that A and B are supplementary. That means

A+B = 180

Equation

(8x + 6) + (7x + 24) = 180          Remove the brackets

Solution

8x + 6 + 7x + 24 = 180              Collect like terms

15x + 30 = 180                           Subtract 30 from both sides

15x = 180 - 30

15x = 150                                   Divide by 15

x = 150 / 15

x = 10

Answer

What you need is <B

<B = 7x + 24

<B = 7*10 + 24

<B = 70 + 24

<B = 94

PLEASE HELP ME HURRY!!!!!!

Janice sold several items in a garage sale. She spent one-half of the money she made on a new bicycle. Next she spent one-half of what was left on a portable stereo set. If Janice had $80.00 left, how much money did she make from the garage sale?

Answers

The answer is 320 all you have to do is add 80 and you get 160 and add 160 you get 320

Answer:

320

Step-by-step explanation:

hope it helps some one

Does this figure have symmetry?
E

Answers

Answer:

The letter 'E' has exactly one line of symmetry passing from it's center.

Step-by-step explanation:

We are given the letter 'E' for checking whether it have symmetry.

For that, first of all let us understand what does line of symmetry means;

A line of symmetry is a line that separates an object into two identical sections that are mirror images of one another.

Now,

The letter 'E' has exactly one line of symmetry passing from it's center.

Furthermore, just like the letter 'E' various other letters also have exactly one line of symmetry.

For example, Letter A, B, C, D, E, K, M, have exactly 1 line of symmetry.

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What is the value of 6×7-3²×9+4³

Answers

Answer:

103

Step-by-step explanation:

The product of a number, x, and seven is two less than 5 times the difference of the same number, x, and three


Please help

Answers

Answer: -8.5 or -17/2

Step-by-step explanation: you have to put the info into an equation. product of a number x and 7 is 7x. two less than mean subtracting two and 5 times the difference of x and 3 translates to 5(x-3). Once put into an equation, it'll look like 7x = 5(x-3) - 2. Now solve this equation for x and you'll end up with -8.5 in decimals or -17/2 in fractions.

Can someone ls help me with this, the picture is down below!

Answers

Answer:

8 : 5

Step-by-step explanation:

white socks 8

brown socks 5

Answer:

8:5

Step-by-step explanation:

cause

white= 8

brown=5

white:brown

8:5

Plesaseeeee solve correctly step by step !!!!!!!!! PLEASEE helppppp !!!!!!!!!!!!!

Answers

Answer:

18

Step-by-step explanation:

116-98

so sorry if its incorrect

Answer:

34 degrees

Step-by-step explanation:

ahahah okay this is fun

so what you should do here is extend the line that passes through the 116 and 98 degree angle so that it passes the other parallel line.

It makes a triangle doesn't it

One of the angles is supplementary to 98, so 180-98 = 82 degrees.

Another one of the angles is the opposite angle to the supplementary angle of 116 (remember your line-intersecting-parallel-lines angles), therefore 180-116 = 64 degrees

The last angle of that triangle is the opposite to angle 4, and you can find that using the other two angles of the triangle we made earlier, which you get 180-82-64 = 34 degrees

Whats The Answer Marking Brainliest, Please explain your answer:D..............................Please HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: D.

Step-by-step explanation: Every min is 60 sec. Multiply that by 4, and then add that by 30. That equals 270 and that is lower than Wyatt's time.

Answer:

D. Wyatt had more playing time

Step-by-step explanation:

which of the following gives all of the sets that contain √9?
a. the set of all irrational numbers
b. the set of all natural numbers, the set of all whole numbers, and the set of all integers
c. the set of all integers, the set of all rational numbers, and the set of all real numbers
d. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Answers

Soldiers for the nation of Gilead. “Blessed Be the Fruit”: The standard greeting amongst Gilead residents. The traditional reply is “May the Lord open.” “Under His Eye”: The Gileadean equivalent of “Aloha” — it works as both a hello and a goodbye.

Find the volume and surface area.

Answers

Answer: Formula used for pyramid is (V= 1/3 Bh   SA: 1/2 P*l+B) Final answer is SA=110.4   V=64

Step-by-step explanation:

P= Perimeter

l= length

B= Base

To find the perimeter you add all the sides of the base. (4+4+4+4)=16

To find the length you can use Pythagorean Theorem which is a(squared) + b(squared) = c(squared) where c is the hypotenuse. [tex]2^{2}[/tex] + [tex]12^{2}[/tex]= [tex]x^{2}[/tex]

4+144=[tex]x^{2}[/tex]

164=[tex]x^{2}[/tex]

[tex]\sqrt{164}[/tex]=x

x=12.8

To find the base it will be l*w (4*4)=16

Then you plug it in the formula for SA which will be

SA=1/2 16*12.8+16

SA=110.4

For Volume, it will be

V=1/3 Bh

V= 1/3 16(12)

V= 64

Solve the inequality.
-12p -82-2(1 + 8p) – (6 - 4p)

How do u do this?

Answers

Answer:

If you were to factor this inequality the answer would be

-6(4p+15)

If you were to simplify this inequality the answer would be

-24p-90

I don't really know how your question is set up or how your teachers teach this but here are two possible answers. I hope this helps

En los siguientes problemas, reduce y expresa el resultado como un solo número escrito en
notación científica.
1) (6 000) (84 000 000) =
2) (3 x 10) (2 x 10 %) =
3) (9 x 10°) (3 x 10-) (6 x10³) =
4) (4 x 10) (3 x10-)² =
5) (9 X 10°)(8 X 10°)²=
4 X10-9
6) (5 x 10°) (8 x10¹4) =
7) 6x105 + 7x10¹ =
8) 9.54 x10-8-4.2 x10=

Answers

I think it’s number 3

After paying $3 for a sandwich, Trevor has $9.How much money did he have before buying the sandwich?

Answers

Answer:

$12

Step-by-step explanation:

add 3 to 9 and get 12

state whether each expression is meaningful. if not, explain why. if so, state whether it is a vector or a scalar.

Answers

The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product so options (b), (d), and (e) are not meaningful.

What is a vector?

An item with both magnitude and direction is referred to be a vector.

A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.

A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.

The dot product of two vectors gives scalar quantity while the cross product gives a vector quantity.

Now,

In option (B) ;

a Х (b . c) now here b . c is a scalar quantity and we can not cross multiply a scalar with a vector.

In option (D) ;

(a.b) Χ (c.d) where we cannot multiply two scalars by cross product.

In option (E);

a.(b.c) we can not multiply two scalars by the dot product.

Hence "The dot product of two vectors gives scalar quantity and between scalar quantity, we can not apply any product".

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The given question has a missing option which is given below,

a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6. What is the value of B?

Answers

Answer:

B = 2

Step-by-step explanation:

I used Desmos to get a visual representation to help.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Hope this helps!

The value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

The equation y = 4x + 6 has a y - intercept at (6,0).

The equation y = 4x + 2 has a y - intercept at (2,0) and passes through (1,6).

Therefore the value of  B = 2 when a line, y=mx+b, passes through the point (1, 6) and is parallel to y=4x+6.

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