simplify the following surd expressions a) 9√3 - 4√3 + √5 + 2√5 b) 10√2 + 4√7 - 6√2

Answers

Answer 1
A) 5√3 + 3√5
B) 4√2 + 4√7
Answer 2

Answer:

[tex]a)\:5\sqrt{3}+3\sqrt{5}[/tex]

[tex]b)-6\sqrt{2}+4\sqrt{7}[/tex]

Step-by-step explanation:

[tex]a)\:9\sqrt{3}-4\sqrt{3}+\sqrt{5}+2\sqrt{5}[/tex]

We need to combine like terms:

[tex]9\sqrt{3}-4\sqrt{3}[/tex]

[tex]=5\sqrt{3}[/tex]

[tex]\sqrt{5}+2\sqrt{5}[/tex]

[tex]=3\sqrt{5}[/tex]

[tex]5\sqrt{3}+3\sqrt{5}[/tex]

__________________

Combine like terms:

[tex]b)\:0\times \sqrt{2}+4\sqrt{7}-6\sqrt{2}[/tex]

[tex]0\cdot \sqrt{2}-6\sqrt{2}[/tex]

[tex]=-6\sqrt{2}[/tex]

[tex]-6\sqrt{2}+4\sqrt{7}[/tex]

____________________


Related Questions

Decide if the following statement is true or false. A simple random sample of twelve 2+ bedroom houses in Rockingham County has a mean monthly lease of $695 with a standard deviation of $135. The true rental cost will be from $560 to $830

Answers

Answer:

Step-by-step explanation:

783

The given statement is "False" because the statement's range is based on the mean and standard deviation of a simple random sample of houses, not the whole population of Rockingham County's houses..

What is a simple random sample?

A simple random sample is a subset of a population chosen in a way that gives each member of the population an equal chance of being selected. The mean and standard deviation of a simple random sample provides information about the population from which the sample was drawn, but they do not provide a range in which the true value of a population parameter is guaranteed to fall.

In this case, the statement provides a range for the true rental cost of 2+ bedroom houses in Rockingham County, but there is no guarantee that the true rental cost will fall within this range. The range provided in the statement is based on the mean and standard deviation of a simple random sample of houses, not the entire population of houses in Rockingham County.

Hence, the given statement is False.

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what is the value of 3\4 ÷ 2 1\2

please no links
AND HELP THIS IS DUE IN A COUPLE MINUTES ​

Answers

3/4 divided by 2 1/2 is 3/10
3/10

Answer:

1/14

Step-by-step explanation:

3/4÷21/2

3/4× 2/21=6/84=1/14

The number which is subtracted from a given number is called the

Answers

Answer:

the subtrahend

I actually read it one time on wikipedia

How do you find percentages?

Answers

Answer:

obtained number divided by total number multiply by 100%.

· Definition of Percentages

Mathematically, percentages are either numbers or ratios that are expressed as fractions of 100. They are usually denoted as "%" or simply "percent." They may be further represented as simple fractions or as decimal fractions. An example of a percentage is 65% or 65 percent.  The term percentage was formed from two words, “per” and “cent.” Cent is a word with Latin and French origin that means "hundred," and "percent" means "per hundred." For example, 90 percent (or 90%) means 90 out of 100 while 50 percent (or 50%) means 50 out of 100 or half of a whole.

1. Determine the initial format of the number to be converted to a percentage

The number to be converted to a percentage can either be in the decimal or fraction format. A good example of a decimal number is 0.57, which may be the calculated ratio of the values you are comparing, while an example of a fraction is 3/20. The initial format will determine the next mathematical process to be carried out on the number.

2. Carry out a mathematical process on the number to be converted to a percentage

If the number to be converted to a percentage is a decimal number like 0.57, you may not need to do anything to it before you go to the next step. However, if it is a fraction like 3/20, you should first divide the numerator (3 in this case) by the denominator (20 in this case) to get a decimal number.

3. Multiply the result of the mathematical process by 100

If you are required to convert a decimal number like 0.57 to a percentage, you are to simply multiply it by 100. That is, 0.57 x 100 = 57. Therefore, 0.57 as a percentage = 57% or 57 percent. Another example of converting a decimal to a percentage is 0.03 x 100 = 3% or 3 percent.

However, if you are required to convert 3/20 to a percentage, you should divide 3 by 20 = 0.15. Then multiply 0.15 by 100 = 15% or 15 percent.

Another example is if you are to convert 5/10 to a percentage, you should divide 5 by 10 = 0.5. Then, multiply 0.5 by 100. Therefore, 0.5 x 100 = 50% or 50 percent.

In recent year, the total receipts for the US federal government were $2154 billion. The total outlays were $2472 billion. The deficit was $318 billion. What would the deficit have been, if there had been a 2% decrease in total receipts

Answers

If there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

If there had been a 2% decrease in total receipts, the new total receipts would be:

New total receipts = $2154 billion - (2% of $2154 billion)

New total receipts = $2154 billion - $43.08 billion

New total receipts = $2110.92 billion

The total outlays would remain the same at $2472 billion.

So, the new deficit would be:

New deficit = New total outlays - New total receipts

New deficit = $2472 billion - $2110.92 billion

New deficit = $361.08 billion

Therefore, if there had been a 2% decrease in total receipts, the new deficit would be $361.08 billion.

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OMGGG PLS HELP ME WITH THIS QUESTION PLS PLS PLS!!! WILL MARK BRAINEST AND PLS PLS PLS DO EXPLAIN!!!

Answers

Answer:

38

Step-by-step explanation:

-(5×-7-3)

-(-35-3)

-(-38)

38

what is the answer I need some help

Answers

Answer:

relations 1 and 2 only

I hope it's the right answer

Given h(x) = 4x + 5 solve for when h(x) = 9 .

Answers

Answer:

3x = 5

Step-by-step explanation:

9x = 4x + 5

-4x -4x

3x = 5

Answer:

h(x) = 4x + 5       h(x) = 9

9 = 4x + 5        9 - 5 = 4  and 5 - 5 = 0

4 = 4x          4 divided by 4 equals 1

Answer is x = 1.

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

Check your answer:

9 = 4x + 5

Input the 1 into the variable x's place in the equation.

9 = 4 X 1 + 5

And now solve.

4 X 1 + 5 = 9

So, now we know that our answer is fully correct.

Step-by-step explanation:

Hope this helps. If there are any questions please ask them below in the comments. If there are no questions please have a great rest of your day/night!

Does the graph represent a function? Why or why not?​

Answers

Answer:

Yes

Step-by-step explanation:

Because any vertical line drawn doesn't meet the graph at two points.

So this concludes that there is a single output for any input. Which is the basic requirement for a function

PLEASE HELP ME
The figure below shows two pair of congruent triangles. ΔROB ≅ _____ ΔPTA ΔATP ΔPAT ΔAPT

Answers

ROB≈PAT for pink congruent triangles. DEF≈TXW for green. This makes it congruent

I need help again please

Answers

Answer:

19 R (remainder) 11

Step-by-step explanation:

Hope this helps! :D

Answer:

19 Remainder 11

Step-by-step explanation:

Which property of addition is shown here? (4+5)+6=4+(5+6)

Answers

Answer:

I am pretty sure it is Associative property of addition

Step-by-step explanation:

Billy read an average of 2.5 magazines each week during the year.



Write an equation that represents the amount of magazines that he read (y) per week (x).

Answers

Answer: y=2.5x+

Step-by-step explanation:

I dont know the rest because the question is worded wrong

The equation that represents the number of magazines that he read (y) per week (x) will be y = 2.5x.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Billy read an average of 2.5 magazines each week during the year.

The equation that represents the number of magazines that he read (y) per week (x) will be

y = 2.5x

The equation that represents the number of magazines that he read (y) per week (x) will be y = 2.5x.

More about the linear equation link is given below.

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Solve this pls

6i<5i+3u

Answers

i < 3u

Step-by-step explanation:

6i < 5i + 3u

6i - 5i < 3u

i < 3u

Write this equation in slope-intercept form by isolating the y-variable.
12x = 4y

Answers

I believe this is it

Please help me solve this problem

Answers

Answer:

I would say translation

Answer:

translation

Step-by-step explanation:

translation is move the shape to other place with same shape and same size

reflection is reflect the shape ,it will not be same direction

The points (6, 9) and (5, 8) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

y=x+3

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Since the first point is actually further along the x-axis that x-value becomes [tex]x_{2}[/tex] and its corresponding y-value is [tex]y_{2}[/tex]

[tex]\frac{9-8}{6-5}[/tex]=[tex]\frac{1}{1}[/tex]

The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.

y=mx+b

y-mx=b

Now Substitute either point in to find b

9-1(6)=b

9-6=b

b=3

Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:

y=x+3

HELP NOW DUE AT 11:55!!!! 30 POINTS!!!

A shark is swimming 10 feet below sea level and then swims up reaching 3 feet below sea level. What was its change in depth?

Answers

Answer:

It went up 7 feet

Step-by-step explanation:

3 + 7 = 10

Sea level is measured in this case in absolute value, so there are no negatives.

In the morning, the temperature was–10°C. By the afternoon, it had risen to–2°C. What was the change in temperature from the morning to the afternoon?To solve the problem, Luke subtracted–2–(–10) and came up with an answer of 8°C. Is Luke correct? Why or why not?

Answers

luke is correct because -2 - (-10) =8 (because when you subtract a negative from a negative it equals a positive)

Let C be the event that a randomly chosen person went to college. Let J be the event that a randomly chosen person has a job. Identify the answer which expresses the following with correct notation: Given that the person went to college, the probability that a randomly chosen person has a job.

Answers

The probability of event J, followed by event C is occurred is P( J | C)

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so.Trial: To conduct a trial is to conduct a random experiment.

The given case is case of Conditional Probability.

As, the probability of random chosen person has a job 'j' followed by the person went to the college 'c'

The, the probability of event J, followed by event C is occurred is

= P( J | C)

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[tex]\red{ \boxed{ \blue{ \tt{Help\:Me}}}}[/tex]​

Answers

Answer:

You go to a job and get $352.15 a day. How much would you make in a month?

Answer: 352.15 x 31= 10,916.65

Hope this helps ^^

What is 5/8 +7/8. I’m really confused

Answers

Answer:

12/8 or 1 1/2 hope this helps

Answer:

I think answer is. Tap in photo

PLEASE SHOW WORK AND I'LL MARK BRAINLIEST

The regression equation y=-0.433x+104.94 approximates the percent of people in an audience who finish watching a documentary, y, given the length of the film in minutes, x.

What is the best prediction for the percent of people in an audience who will finish watching a documentary that is 60 minutes long? (Round your answer to the hundredths place and Do not include the percent sign in your answer as the computer knows it is a percentage)

You must show your work on this problem to receive credit.

Your Answer:

Answers

Answer:

78.96

Step-by-step explanation:

Substitute x with 60 into the regression equation and evaluate:

y = -0.433*60 + 104.94 = 78.96%

Find the distance between the points (7, –5) and (–2, –4).

Write your answer as a whole number or a fully simplified radical expression. Do not round.

ALL MY POINTS

Answers

9.055

Step-by-step explanation:

distance

= √(x₁ - x₂)² + (y₁ - y₂)

= √[7 - (-2)]² + [-5 - (-4)]²

= √[9]² + [-1]²

= √(81 + 1)

= √82

≈ 9.055

please help with this

Answers

Answer:

b = 3

Step-by-step explanation:

All angles in a triangle always equal 180*

so 180 - 100 + 41 = 39

39/13 = b

3 = b

Have a nice day! :-)

The value of is B=3

Tony is saving money to buy a game. So far he has saved S18, which is two-thirds of the total cost of the game. How much does the game cost

Answers

The game cost $27! I did 18 times 3 then dived that by 2! 18*3= 54. 54 divided by 2=27

please help i wasnt at school for like a month

Answers

Answer:

The slope of the line. otherwise known as the gradient, can be found in the equation as the number in front of the x term.

In this case, it is - 1/2 (or -0.5, however you want to answer it)

Asking again since I still don’t understand

Skylar collects coins and stamps. She wants to organize her collections to display them together. She has 56 coins and 72 stamps,
and she wants the same number of each item in each display.

What is the greatest number of displays Skylar can make?

Enter your answer in the box.

Answers

Answer:

She can only display each item 56 times

Step-by-step explanation:

Since she has 72 stamps and 56 coins to have a even amount of both she can only make 56 displays

Answer: 8

Step-by-step explanation: Solve this problem with GCF (Greatest Common Factor).

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72.

So, the biggest among the numbers that are matching is 8.

30 POINTS ANSWER ASAP

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.

Answers

2x + 3y = 1470

3y = -2x + 1470

y = -2/3x + 490 is the equation in slope intercept form.  

slope = -2/3

y intercept = 490

allso, can u mark brainlist

Solve the equation –x^2 -6x=-2x^2 to the nearest tenth.

Answers

Answer:

The answer is x = 3

Step-by-step explanation:

edge2020

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