why is 6 1/2 equal to the square root of 6

Answers

Answer 1
Because It Can Be Simplified Many Ways
Answer 2

As both of the values are equal to each other.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number.

Here, given that,

6^(1/2) and √6

Now, we know that both have same value.

6^(1/2)=√6 ≈2.45

Hence, they are equal.

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Related Questions

prove that (tan²y) (cos²y) + 1/sec²y = 1​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = [tex]\frac{sinx}{cosx}[/tex] , sec x = [tex]\frac{1}{cosx}[/tex] , sin²x + cos²x = 1

Consider the left side

tan²y × cos²y + [tex]\frac{1}{sec^2y}[/tex]

= [tex]\frac{sin^2y}{cos^2y}[/tex] × cos²y + [tex]\frac{1}{\frac{1}{cos^2y} }[/tex] ← cancel cos²y in the product

= sin²y + cos²y

= 1

= right side ⇒ proven

Step-by-step explanation:

[tex] (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1\\

LHS

= (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} \\\\

\frac{\sin^2y}{\cos^2y}\times \cos^2 y + \cos^2 y \\\\

= \sin^2y + \cos^2 y \\\\

= 1\\\\

= RHS\\\\

\purple {\boxed {\bold {\therefore (\tan^2y) (\cos^2y) +\frac{1}{\sec^2y} = 1}}} \\[/tex]

Hence Proved

−7(5x−8)
Expand the following Expression

Answers

Steps for solving:

Start by changing the -8 to plus a negative 8.

Now, the -7 distributes through the parentheses.

This gives us -7(5x) + -7(-8) which simplifies to -35x + 56.

Will give brainliest, What types of solutions will a quadratic equation have when the discriminant b^2−4ac in the quadratic formula is zero?
Two non real solutions
One real solution
Two real solutions
No solutions

Answers

Answer:

B

Step-by-step explanation:

When a discriminant is zero, the quadratic equation has one solution.

please answer this i’ll give you 15 points

Answers

Answer:

B

Step-by-step explanation:

you round 33 to 30 and 87 to 90

Answer:

Well I think it's B.. Sorry for the late answer.

Step-by-step explanation:

A runner won a 100-meter race with a time of 9.73 seconds.

How can you use place value to explain this time?

Answers

Answer:

You can move the place value over to explain

Step-by-step explanation:

Answer:

The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation:

Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

A tea set was bought for $ 328, if a discount of 12% is offered on the price. Find the price of the tea set.

Answers

288.64

this is the real answer the last one was a mistake

harold collected data on the daily high temperature in two cites over a period of one week . he analyzed the data and found the measures below . which statement is true based on these measures

Answers

Answer:

The temperature in Carlton was always cooler than in Borden.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE

Answers

The answer is a hundred and sixty

Find the 40th term of this arithmetic sequence 4,9,14,19

Answers

Answer:

199

Step-by-step explanation:

I believe it's 199. The interval is just 5.

Answer:

the answer is going to be more than 11111111111119 (this is the 26th term)

Step-by-step explanation:

Tamanika got a raise in her hourly pay, from $15.50 to $17.36. Find the percent increase​

Answers

Answer:

12%

Step-by-step explanation:

The required percent increase is 12%

Tamanika got a raise in her hourly pay, from $15.50 to $17.36

What is percentage?

percentage is defined as, composition of something out of whole inbounds of 100.

since = 17.36 - 15.50/15.50 x 100
= 1.86/15.50 x 100
= 0.12 x 100
= 12

Thus the required percent increase is 12%.

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Factor x^3 - 4x^2 + 7x - 28 by grouping. What is the resulting expression

Answers

Answer:

Step-by-step explanation:

x³ - 4x² + 7x - 28 = x³ - 4x² + 7x - 7*4

                    = x²(x - 4) + 7(x - 4)

                    = (x - 4 )(x² + 7)

Victor has saved $89.25 for the bicycle that he wants. The bicycle costs $129.85. Victor
writes the equation below to help him determine x, the additional amount that he needs to
save to have enough to buy the bicycle.
89.25 + 129.85 = 2
Does Victor's equation correctly model the problem? Click the arrows to choose an answer from
each menu
An equation that correctly represents this problem can show that the sum of the
Choose.
and the
Choose...
is equal
to the
Choose
The equation Choose...
models this situation correctly. Victor's equation is
Choose
WILL MARK BRAINLIEST

Answers

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

id probably use the second one

Answer:

yes i am doing this iready too lol this is right what the first person answered is correct

Step-by-step explanation:

To convert degrees Fahrenheit (F) into degrees Celsius (C) use the formula C=5/9(F-32) convert 50 degrees Celsius to Fahrenheit

Answers

Answer:

Step-by-step explanation:

C=5/9(F-32)

Or F-32=9/5C

Put  C=50

F-32=9/5 ×50

F-32=90

F=90+32=122°F

help help please!!!!!!!!!!!!!!!!

Answers

Answer:

1000 times

Step-by-step explanation:

900000 divide 900 equals 1000

Answer:

it would be 1000 times.

Step-by-step explanation:

All you have to do is find out how many zeros you can put before the 900 and then put a one after it. And don't mind all of the other numbers. They don't matter in this equation. Pretend they are all zeros.

900,000

000,900

You see how many zeros there are before the 900.

Then just add a one 1000

Which point lies on the y-axis

Answers

Answer:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:

the y axis is the vertical line the x axis is the horizontal lineStep-by-step

making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19

Answers

The answer is 12

Ham, swiss, mustard

Ham, swiss, mayonnaise

Ham, provolone, mustard

Ham, provolone, mayonnaise

Turkey, swiss, mustard

Turkey, swiss, mayonnaise

Turkey, provolone, mustard

Turkey, provolone, mayonnaise

Roast beef, swiss, mustard

Roast beef, swiss, mayonnaise

Roast beef, provolone, mustard

Roast beef, provolone, mayonnaise

what is the triangular number of (546)

Answers

Answer:

Step-by-step

149331:

Answer:

149331

Step-by-step explanation:

hope its correct and it helps

please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it

Answers

Answer:

27648inches÷64inches=432 tiles

Step-by-step explanation:tiles cost 3456

The quotient of 40 and the product of a number and -8

Answers

Answer:

-5

Step-by-step explanation:

Which shape fits the description below?


A figure with at least one pair of parallel sides.





A. X

B. Z

C. X and Y

D.Y

Answers

Answer:C, X and Y

Step-by-step explanation:

I just took the test

in the morning it takes father half an hour to dress, 15 minutes to eat breakfast, and 10 minutes to fix his lunch. if he starts at 7:00, what time will it be ready to leave to work?

Answers

Answer:

7:55

Step-by-step explanation:

30 for dressing added with 15 for eating , added with 10 to make lunch gives us 55 minutes.So 7:00 plus 55 minutes is our answer 7:55.

Find the unit rate. Round to the nearest hundredth, if necessary.

$220 for 17 ft2

Answers

Answer:

12.94 for 1 ft squared

Step-by-step explanation:

You divide 220 by 17.

Answer:

$12.94

Step-by-step explanation:

For 17 ft² = $220

Unit rate = 220/17 = $12.94


Factor the polynomial completely.
x^2 + x + 3

Answers

Answer:

(x+2)(x+1)

Step-by-step explanation:

(x+2)(x+1), if you FOIL, you will get back to the original equation

Plz help me I don’t really understand this topic

Answers

Answer:

2/7, 7/13, 5/9, 10/11

Step-by-step explanation:

I used benchmark fractions to determine the order of the fractions above. 2/7 is close to 0, so it is first. 7/13 is close to 1/2, but is less than 5/9, so it is second. 5/9 is also close to 1/2, but it is greater than 7/13, so it is third. 10/11 is close to 1, so it is last.

If this answer is correct, please make me Brainliest!

Answer:

From least to greatest, 2/7-7/13-5/9-10/11

Step-by-step explanation:

It is obvious that 2/7 is the least and 10/11 is the most, and two find out the two middle fractions you should cross multiply to see which is bigger.  

7              5

___ and ___ so now you multiply the denominators together to get 117

13             9

so the fractions will become

7*9          5*13

___ and ___   and when u multiply them together you get 63 for 7/13 and 65

117            117

for 5/9, so 5/9 is bigger

Triangle A’B’C’ is the image of triangle ABC.

On a coordinate plane, triangle A B C has points negative 4, negative 1), (negative 5, negative 5), (negative 3, negative 4). Triangle A prime B prime C prime has points (3, 4), (4, 8), (2, 7).

Which transformations could have been used to create A’B’C’ ? Choose all that apply.
a 180Degrees rotation about the origin and then a translation 3 units up and 1 unit left
a translation 3 units up and 1 unit left and then a 180Degrees rotation about the origin
a 90Degrees clockwise rotation about the origin and then a reflection over the y-axis
a 90Degrees counterclockwise rotation about the origin and then a reflection over the x-axis
a translation 3 units down and 1 unit right and then a 180Degrees rotation about the origin

Answers

The Answer is A and D

Hope this helps

Answer:

Its the First and Last answer on Edg

Step-by-step explanation:

I took the test

I WILL GIVE YOU BRAINLIEST!!!!! The first side of a triangle is three times as long as the second side, and the third side is 50 cm shorter than the first side. Find all sides of the triangle if its perimeter is 370 cm. PLS HELP ME!!!!!!!

Answers

Answer:

The first side of the triangle = 180 cm

The second side of the triangle = 60 cm

The third side of the triangle =130 cm

Step-by-step explanation:

To solve this, we will follow the steps below;

First, re-write the question in a mathematical format and then solve;

let a=the first side of the triangle

b=the second side of the triangle     and

c=the third side of the triangle

"The first side of a triangle is three times as long as the second side" can be re-write mathematically as:

a=3b ------------------------------------------------(1)

"the third side is 50 cm shorter than the first side" can be re-write as :

c=a-50-----------------------------------------------(2)

"perimeter is 370"  can be re-write as:

a + b + c = 370 --------------------------------------(3)

from equation (2), make b subject of the formula; a= 3b

b=a/3  ------------------------------------(4)

substitute equation (2)   and (4) into equation (3)

a + b + c = 370

a+[tex]\frac{a}{3}[/tex] + a-50 = 370

add 50 to both-side of the equation

a+[tex]\frac{a}{3}[/tex] + a-50 + 50= 370 + 50

a+[tex]\frac{a}{3}[/tex] + a= 420

[tex]\frac{3a + a + 3a}{3}[/tex]  = 420

[tex]\frac{7a }{3}[/tex] = 420

multiply both-side of the equation by 3

[tex]\frac{7a }{3}[/tex] ×3= 420×3

7a = 1260

Divide both-side of the equation by 7

[tex]\frac{7a}{7}[/tex]  =  [tex]\frac{1260}{7}[/tex]

a= 180

from equation (4)   b = a/3

b = 180/3 = 60

from equation (2)  c= a- 50

c= 180 - 50

c= 130

a=   180 cm    

b = 60 cm

c= 130 cm

Therefore,the first side of the triangle = 180 cm

the second side of the triangle = 60 cm

the third side of the triangle =130 cm

-5*(-6)=
-27 divided by 9=

Answers

Answer:

-5*(-6) = 30

-27/9 = -3

Step-by-step explanation:

We know a negative times a negative is a positive, a positive times a positive is a positive, and a negative times a negative is a positive. This rule goes the same for division.

Using that rule -5*(-6) = 30. Which is a negative times a negative = positive.

-27/9 = -3 Which is a negative divided by positive = negative

-5*(-6)=30
27 divided by 9= -3

Theresa is comparing the graphs of y=2x and y=5x. Which statement is true?


The y-intercept of y=2x is (0, 2), and y-intercept of y=5x is (0, 5).


Both graphs have a y-intercept of (0, 1), and y=2x is steeper.


Both graphs have a y-intercept of (0, 1), and y=5x is steeper.


Neither graph has a y-intercept.

Answers

Answer:

Both graphs have a y-intercept at 0,1.  The y=2^x is steeper than y=5^x

Step-by-step explanation:

If you graph these on a graphing calculator you will clearly see they have the same y-intercept (0,1) and that y=2^x is steeper.

The correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

What is the intercept of a line ?

The point where the line or curve crosses the axis of the graph is called intercept. If a point crosses the x-axis, then it is called the x-intercept.

Theresa is comparing graphs of y = 2x and y = 5x

The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x = 0.

Let's check

which is y = 2x.

For x = 0 , y = 0

for x = 1 , y = 2

So , here y-intercept will be (0,2)

So , for both the values y - intercept exists for first function which is y = 2x.

Similarly, for y = 5x , there will be a y -intercept of (0,5).

Both graphs have a common y-intercept of (0, 1).

We know that if the slope of the graph is steeper then we can say that the tangent of the angle made by it will be more and it will make more angle with the x axis.

Here , y = 2x is more steeper than y = 5x.

Therefore , the correct option is option B that is both graphs have a common y-intercept of (0, 1) and y = 2x is steeper.

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is my answer correct? // im not really sure so I need help.

Answers

Answer:

I believe it is lol I'm sorry if Its wrong A just seems correct to me

Step-by-step explanation:

Julie earns $1800 each month and pays $450 a month for rent. What percent of her income goes toward her rent?

Answers

Answer: 25%

Step-by-step explanation:

450/1800

Answer:

25 percent is what percent of her income that goes towards her rent

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Use the table to determine the appropriate model of the function,x 0 1 2 3 4 f(x) 1 4 11 22 37 linearquadraticcubicexponential Granite State Airlines serves the route between New York and Portsmouth, NH, with a single-flight-daily 100-seat aircraft. The one-way fare for discount tickets is $100, and the one-way fare for full-fare tickets is $150. Discount tickets can be booked up until one week in advance, and all discount passengers book before all full-fare passengers. Over a long history of observation, the airline estimates that full-fare demand is normally distributed, with a mean of 56 passengers and a standard deviation of 23, while discount-fare demand is normally distributed, with a mean of 88 passengers and a standard deviation of 44. a) A consultant tells the airline they can maximize expected revenue by optimizing the booking limit. What is the optimal booking limit? (Hint: Use the standard normal cumulative distribution table) b) The airline has been setting a booking limit of 44 on discount demand, to preserve 56 seats for full-fare demand. What is their expected revenue per flight under this policy? (Hint: First find the expected revenue when b= 0. Here you can assume Probability{df = k} = Ff(k+0.5) Ff(k-0.5) and use a spreadsheet. Then using the recursive formula, find the expected revenue if b is increased by 1 until it reaches b=44 using a spreadsheet) c) What is the expected gain from the optimal booking limit over the original booking limit?d) A low-fare competitor enters the market and Granite State Airlines sees its discount demand drop to 44 passengers per flight, with a standard-deviation of 30. Full-fare demand is unchanged. What is the new optimal booking limit? This recipe will serve 12 pancakes.Find out how much of each ingredient you would need for 24 pancakes.Find out how much of each ingredient you would need for 6 pancakes.Ingredient12 pancakes24 pancakes6 pancakes4Eggs11 tspFlourtspBaking Powder What is the interquartile range (IQR) of this data set?3, 7, 8, 11, 13, 15, 16 How will you reduce the risk of an collision?A. By always driving with an adult.B. By becoming more familiar with how your vehicle operates.C. By playing more video games to keep you sharp. The cost of a shirt is $56. There is a markup of 18%for the store. Wha t will be the cost of the shirt in thestore? Find the area to the nearest hundredth Which contributes to the movement of air masses Use the graph to answer the questions. Which country had the lowest life expectancy in 1958? Which country had the lowest life expectancy in 2003? Which statement accurately describes one constitutional restriction on presidential power? Who taught the Romans the most about art, literature, and math?Group of answer choicesThe LatinsThe GreeksThe EtruscansThe Egyptians NEED HELP WITH THIS ASAP help please!!!!!!!!!!!!! 146 garment workers died because they were unable to escape from the upper floors of the building. What impact did this fire have on the garment industry? Check all the boxes where the vocabulary word correctly matches itsscience definition?Equilibrium: a system where forces are in balanceOClimax community: the end of a succession resulting in a stabilized communityoSuccession: the act of winning in lifePrimary Succession: colonization of an area that has not been previously occupied bya community, e.g. newly exposed rockPioneer Species: the first organisms to live on rocky surfaces, e.g. lichens, moss,algae, and fungiSecondary Succession: colonization following a major disturbance, such as a fire or aflood Please help with my chemistry! PLEASE According to the study, what two factors contributed to Tutankhamens death Jean Piaget theorized that individuals construct knowledge largely through interactions with __________.A.others perspectivesB.the environmentC.parentsD.friends 2 point1. What statement BEST describes how the author structures the section "PrizedTreasures"? *A. The author explains why processed foods lack flavor.B. The author provides a chronological account of the rise of the modern flavorindustryC. The author compares the flavor industry in America with the global flavor industry.D. The author explains how the modern flavor industry came to be and what effect ithas had on our health. While looking for weights, I did this