(2+√3)+(4-√3)
[tex] [/tex]

Answers

Answer 1

Explanation :

________________________________

Given:

(2+√3)+(4-√3)

To Find:

Evaluate the expression

Solution:

Step 1:

Remove the parentheses

(2+√3)+(4-√3)

When there is + or no sign in front of an expression in parentheses, the expression remains the same

= 2 + √3+ 4-√3

Step 2:

Cancel the opposite terms √3 and -√3

"Two numbers are opposites if they have the same absolute value but different signs"

= 2 + 4

Step 3:

Add the numbers

= 6

Hence (2+√3)+(4-√3) = 6.


Related Questions

A scuba diver descends farther down into the ocean from an initial depth of 12.8 feet below sea level. The scuba diver descends at a constant rate for 312 minutes and reaches a depth no more than 49.2 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?


r≥10.4

r≤10.4

r≥13 7/9

r≤13 7/9

Answers

Answer:

[tex]r \geqslant 10.4[/tex]

The maximum rate at which the diver will descend will be 7 feet per hour.

What is the rate of change?

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

Initial depth of scuba diver = 12.8 feet

Let's say the rate of a scuba diver is "r".

Initial depth + depth cover with constant rate final depth

12.8 + (312/60)r ≤ 49.2

r ≤ 7

Thus, the maximum rate at which a diver can descend is 7 feet per hour.

Hence"The maximum rate at which the diver will descend will be 7 feet per hour".

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Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?

a. 66.6
b. 40
c. 60
d. 80

Answers

Answer:

40

Step-by-step explanation:

that's how it is done hope it will help

Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,

Answers

Answer:

Option B

Step-by-step explanation:

is a half of a teaspoon more than a fourth of a teaspoon ​

Answers

Answer:

Half of a teaspoon is more than a fourth of a teaspoon

Step-by-step explanation:

1/2 is greater than 1/4

yes!
1/2 > 1/4
1/2 can be written as 2/4
2/4 is still more than 1/4, just changed it so both can have same denominators

What is 153/4 as a whole number

Answers

[tex] \frac{4}{3} = \frac{51}{n} \\ = > \frac{3}{4} = \frac{n}{51 } \\ = > n = \frac{3}{4} \times 51 \\ = > n = \frac{153}{4} \\ = > n = 38 \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

In Ms. Rivera’s desk, there are 14 yellow markers. There are 8 more pink markers than yellow markers, and 6 more blue than pink. How many markers does Mrs. Rivera have in her desk?

Answers

Answer:

64

Step-by-step explanation:

since ms. rivera has 8 more pink markers than yellow markers you would add 8 and get 22, so she has 22 pink markers and 14 yellow. for the blue markers it says she has 6 more blue markets than pink so you would add 6 to the 22 pink markers and get 28.

So ms. rivera has 14 yellow, 22 pink, 28 blue

add them all together and you get 64.

The total number of markers Mrs. Rivera have in her desk is 64.

Given that, Ms. Rivera’s desk, there are 14 yellow markers.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the total number of markers be x.

There are 8 more pink markers than yellow markers

So, number of pink markers = 14+8

= 22

There are 6 more blue markers than pink markers

So, number of blue markers = 22+6

= 28

Here, x= Number of yellow markers + Number of pink markers + Number of blue markers

= 14+22+28

= 64

Therefore, the total number of markers Mrs. Rivera have in her desk is 64.

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Is (9, –6) a solution to this system of inequalities?

17x + 12y > 19
10x + 5y > –13

Answers

Answer:

Yes

Step-by-step explanation:

( 9 , -6 )

17(9) + 12(-6) > 19

153 + (-72) > 19

81 > 19

10(9) + 5(-6) > -13

90 + (-30) > -13

60 > -13

Define the following sequence recursively: 96, 48, 24, 12, ....
Select one:
a. f(1)=12 f(n−1)=2⋅f(n) n≥2
b. f(1)=12 f(n−1)=−12⋅f(n) n≥2
c. f(1)=96 f(n)=12⋅f(n−1) n≥2
d. f(1)=96 f(n)=2⋅f(n−1) n≥2

Answers

Answer:

I do not see that any of your options will work.

Step-by-step explanation:

a) and b) have a false first statement because f(1) = 96, not 12

c) would create the sequence 96, 1152, 13824

d.) would create the sequence 96, 192, 384. 768...

I believe the correct answer would be

f(1) = 96     f(n) = ½f(n-1)  n ≥ 2

which could be either c) or d) if taking potential typographic errors into account. Recording a "2" or "12" where a "½" ought to be.

please help me out on this one​

Answers

Answer:

6/6 or 1

Step-by-step explanation:

bow tie method

TV that usually sells for $180.59 is on sale for 20% off. If sales tax on the TV is 9%, what is the price of the TV, including tax?

Answers

Answer:

157.47448

Step-by-step explanation:

here you go i did all the math hope this helped

Answer:

128.2189

Step-by-step explanation:

thats the price of the TV including tax

Is the point (-2,5) a solution to the inequality y is greater than or equal to 5x+ 7​

Answers

Answer:

Yes, it is a possible solution for Y >/= 5x+7

Step-by-step explanation:

You plug in the values (x,y) ie (-2,5):

5(-2)+7=-3

-3<5 so -3 is less than 5.

Thus, Y is greater than 5x+7 at (-2,5).

The Hayes family and the Rodrigues family use their sprinklers last summer. The water output rate for the Hayes family sprinkler was 15 L per hour. The water Output rate for the Rodriguez family speakers is 30 L per hour.Families used their sprinklers for a combined total of 75 hour result in a total water of output of 1725 L how long was a sprinkler used?

Answers

Answer:

Hayes family: 35 hoursRodrigues family: 40 hours

Step-by-step explanation:

Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.

  15x +30y = 1725 . . . . . total liters of use

  x + y = 75 . . . . . . . . . total hours of use

The second equation lets us write an expression for y:

  y = 75 -x

This can be substituted into the first equation to give ...

  15x +30(75 -x) = 1725

  -15x + 2250 = 1725 . . . . . . simplify

  -15x = -525 . . . . . . . . . . . subtract 2250

  x = 35 . . . . . . . . . . . . . . divide by -15

  y = 75 -35 = 40

The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.

you went to a coffee house with 2 friends and ordered an iced coffee and dessert which came to $12.96 how much will each pay if they share in paying the total bill

Answers

Answer:

x+y=12.96, or 12.96=y=x then you can solve for x and then the other half of the total is the other amount

A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width​

Answers

Answer:

Step-by-step explanation:

If you mean length is 2½ times its width not "2½cm times its width"

      2(L + W) = 270

2(2.5W + W) = 270

      2(3.5W) = 270

              7W = 270

                W = 38.5714285714...

                W ≈ 38.57 cm

Answer:

Width = 38. 57 cm

Step-by-step explanation:

The perimeter of a Rectangle = 270 cm

Now,

Let's take x to be the width.

Length = 2½ = 5x/2

According to the formula,

The perimeter of a rectangle = 2 ( l + w )

270 = 2 ( 5x/2 + x )

270 = 5x + 2x

270 = 7x

x = 270/7

x = 38. 57 cm.

• The width of a rectangle is 38.57 cm

Anita earns 40 points every time she shops at Brookshire's. She needs a total of 1,500 points to receive a free set of dishes. So far she has earned 300 points. How many more times will Anita need to shop at the grocery store to earn the points she needs to earn the dishes?
a. 1800
b. 30
c. 1200
d. 45

Answers

B,
1500 - 300 = 1200
1200/40 = 30
Answer:Anita will need to visit Brookshire 30 more times to receive a free set of dishes.Step-by-step explanation:

We know that:

1500 - 300 = required points to receive a free set of dishes1 day = 40 points.

Now, let's simplify.

=> 1500 - 300 = required points to receive a free set of dishes=> 1200 = required points to receive a free set of dishes=> 1 time = 40 points=> 1 time × 30 = 40 × 30                                                    [30 x 40 = 1200]=> 30 times = 1200 pointsConclusion:

Therefore, Anita will need to visit Brookshire 30 more times to receive a free set of dishes.

Hoped this helped

[tex]BrainiacUser1357[/tex]

7/8 = ?/48
A. 1
B. 42
C. 6
D. 13

Answers

7/8= B. 42/48

#HOPE THIS HELP

Listen
ol
Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53

Answers

Answer:

scale factor = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original.

scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]

OMG HELP RN I MARK BARINLIST



Which of the following correctly describes the solutions to the inequality?



A.
There are an infinite number of solutions. The solutions are all numbers less than 2.
B.
There are an infinite number of solutions. The solutions are all numbers greater than 2.
C.
There are 7 solutions. The solutions are the numbers between 2 and 8.
D.
There are 4 solutions. The solutions are the numbers between -2 and 1.

Answers

Answer:

B

Step-by-step explanation:

The dot on 2 is an open spot, so 2 isn't part of the solution. the arrow points towards +∞ so, yeah. b

Michael is saving money to buy a bike. So far, he
has saved $25 which is four-fifths of the total cost
of the bike. How much does the bike cost?

Answers

Let X = total cost of game

 

          (4/5) X = $25

 

Multiply both sides of equation by 5/3

 

   (5/3)(3/5) X = (5/3) $25

 

                   X = $35

Hey , can you help me with this math equation ?

Answers

You have to show the equation

Expressions equivalent to 8 to the negative 2 power times 3 to the negative 2 power

Answers

Answer:

0.0007361111111111111+0.001;

0.0027361111111111111-0.001;

1.0017361111111111111-1;

Step-by-step explanation:

you calculate 8^(-2)*3^(-2) that gives you 0.0017361111111111111 and then you add 1 anywhere you want and then say -1 where you put that +1 and that's all

Answer asap! Need help before I go to sleep.

Answers

Answer:

Step-by-step explanation:

y = (4/7)x - 1

Joe wants to build a doll house for his daughter. He wants the doll house to look just like his house. His house is 29 feet wide and 32 feet tall at the highest point of the roof. If the dollhouse will be 2.5 feet wide, how many feet will its highest point be? (Round your answer to one decimal place.)

Answers

Answer:

3.5 feet

Step-by-step explanation:

The highest point of the dollhouse will be 2.76 feet.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

The width of house = 29 feet.

And the height of the house = 32 feet.

Also, the width of dollhouse = 2.5 feet

Let the height of the doll is x feet.

To find the value of x,

Use proportion property,

29 / 32 = 2.5 / x

x = (32 × 2.5) / 29

x = 80 / 29

x = 2.758

the height of the doll is 2.76 feet.

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Solve using substitution. (Explanation too please)

y = 7x + 2
y = 10x − 1

Answers

X=1 ( don’t mind my scrap paper lol)

Write an equation in slope-intercept form for the line with slope 6 and y-intercept -3

Answers

Answer:

y = 6x - 3

Step-by-step explanation:

What’s the difference for this equation!!!

Answers

–(x^2–2x+12) would become –x^2+2x–12.

3x^2+9x+13 – x^2+2x–12

= 2x^2 + 11x – 1

Answer:

2x^2 + 11x – 1

Step-by-step explanation:

find the angle of rotation that maps point D onto point A

Answers

Answer:

A - 144

Step-by-step explanation:

everything else would be too far

what is /12x^8| /3x2 in simplest form where x>0

Answers

Answer:

2x^3

C

Step-by-step explanation:


Please help with this!

Answers

Answer:

I think this is the answer

Step-by-step explanation:

p= x+2+x+9+2x

Simplified

4xin+11in

Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer: Linda earns more interest

Step-by-step explanation:

Linda: 90000 x 1.06^3 -90000 = 17191.44

Bob: (90000 x 1.06 - 90000) x 3 = 16200

17191.44 > 16200

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A scuba diver descends farther down into the ocean from an initial depth of 12.8 feet below sea level. The scuba diver descends at a constant rate for 312 minutes and reaches a depth no more than 49.2 feet below sea level.What is the maximum rate, r, that the scuba diver may descend?r10.4r10.4r13 7/9r13 7/9 Which sentence from the passage BEST exemplifies how the author of "The Journey to Acceptance" contradicts the author of "Mendels Momentous Work"? Which action would the Enlightenment philosopher John Locke most stronglysupport?OA. A police chief demands that all members of an ethnic group bearrested and detained.B. A government places high taxes on wealthy citizens andredistributes the money to the poor.C. A military leader deploys troops to stop a popular rebellion againsta dictator.D. A leader gives up power when a majority of her country's citizensdisapprove of her policies. Which of the following age groups isthe LARGEST in each and everyelection - and could sway the outcomeof any election?A. 18-25B. 35-55C. 65 & older 11. Bacteria and dead cells are removed from circulatoryfluid in theA) urinary bladderC) alveoliB) gallbladderD) lymph nodes How do I factor this problem? Define 3 main issues with the articles of the confederation REMEMBER EACH MUST BE 5-7 Sentences Which of the following factors contributed most to the bolivarian revolutionary movement?. The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7. 5% sales tax were added after a 20% discount was used, what would be the total cost to purchase the dress?. Help with biology plzz USA test prep if you come across a child with swollen face hands and feet thin upper arms and weak muscles what would you primary advise the parents based on your biology knowledge? The process of packing 316 ounce bottles of Hershey chocolate syrup in super size packages like those sold at Sams and Costco is an example of what type of packaging Is it adaptive packaging allocating sorting out accumulating or accruing What is the area of the figure? x - 5+ x = 7 please help me out :) what are the right answers (Romeo and Juliet story)Explain how your artifact and quote involve the same themes? Btw my artifact I chose was the ring and my quote was I will not marry yet; and when I do, I swear it shall be Romeo, whom you know I hate rather than Paris helpppp me plssss which situation would normally involve long-term financing? Answer asap! Need help before I go to sleep. Which of the following investigators was/were responsible for the following discovery? in dna from any species, the amount of adenine equals the amount of thymine, and the amount of guanine equals the amount of cytosine. Please help with this!