Simplify square root of 5 plus the square root of 125 plus 25. I don't understand. Can someone please help me?

Answers

Answer 1
 √ 5  + √ 125 + 25 [original problem - I assume 25 is not under a root]

√5 + √ 25·5  + 25  [find perfect square factors of 125]
√5 + 5√5   +25      [simplify √125]
6√5 + 25    [add 1√5 + 5√5 together]


***If the 25 is under a root, simply take it's square root (5) and add it to the end of the problem. The answer would be 6√5 + 5***
Answer 2
5(sqrt{20}) - 2(sqrt{125}) 
You need to simplify the square roots individually. 
For each square root, look for two numbers that, when multiplied, will yield the number inside the radicand. However, one of the factors has to be a perfect square. 
sqrt{20} = sqrt{4} times sqrt{5} 
The square root of 4 is a perfect square because 2 times 2 = 4. 
Then, the square root of 4 = 2. 
The square root of 5 is NOT a perfect square and it is also in lowest term.
So, leave it alone. 

============================== 
sqrt{125} = sqrt{25} times sqrt{5} 
The square root of 25 is 5 because 5 times 5 = 25. 
Then, the square root of 25 is 5. 
Again, the square root of 5 is NOT a perfect square and it is also in lowest term. Leave it alone. 
We now have this: 
5(2)(sqrt{5}) - 2(5)(sqrt{5}) 
10(sqrt{5}) - 10(sqrt(5}) = 0 
The answer is 0. 

Related Questions

If you work 52 weeks out of the year and 40 hours a week how many hours would you work in one year

Answers

52×40=2,080 so you would work 2,080 hours in a year

Find the value of x or y so that the line through the points has the given slope of (x, -8) and (-7,5); slope: -13/7

Answers

that is really easy but do it on your own

The required value of x is 112/13 which line through the points has the given slope of (x, -8) and (-7,5).

What is the slope of the line?

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Assume two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

We have been given two points :(x, -8) and (-7,5)

As per the line of slope,

m = (y₂ - y₁)/(x₂ -x₁ )

Here

x₁ = x, y₁ = 8

x₂ = -7, y₂ = 5

Substitute values in the above formula

-13/7 = (5 - 8)/(-7 - x )

-13/7 = -3/(-7 - x )

-13(-7 - x ) = -21

91 + 13x = -21

13x = -21 - 91

13x = 112

x = 112/13

Therefore, the required value of x is 112/13.

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What is the measure of angle x, In degrees?

Helps please!!

Answers

Because segments XY and XZ are of equal length, angle Y and angle Z must be congruent.

All inner angles must add to 180 degrees since it's a triangle.
70+70+x=180
140+x=180
x=40

Final answer: D

Answer:

40° is the right answer for apex learners

A friend eats eats one-fifth of a pizza; you decide to eat half of what was left. How much is left after you eat the pizza?

Answers

If your friend ate 1/5 of the pizza, there is 4/5 left.

If you ate 1/2 of 4/5, you ate 2/5, and you left 2/5. Remember that to find 1/2 of 4/5, multiply the fractions to get 4/10, which simplifies to 2/5.

Final answer: 2/5 of the pizza.

it would be 2/5 since 1/5 is subtracted from your friend, and you are eating half which would be 2/5 since you have 4/5 now and 2/5 = half of 4/5. (Fun Fact: I cant even eat half a pizza).

Which equation is NOT an example of a linear function? A) y = 9 - 2x B) y = 6/x C) y = x/2 + 9 D) y = 5/6 x - 8

Answers

Its either b or d for ur answer
Just put them in desmos and check which one isn't straight. anything with an x^2 won't be linear, it would be a parabola I think

Relationship a has a greater rate than relationship
b. this table represents relationship
b. hours worked 2 4 5 8 amount paid 30.40 60.80 76 121.60 which equation could represent relationship a? select each correct answer. y = 14.9x y = 16.4x y = 15.4x y = 15.2x

Answers

Relationship a y=15.2X,
Used slope formula (Y2-Y1)/(X2-X1),
(60.80-30.40)/(4-2)=30.40/2=15.2

The required equation is y = 15.2x which could represent relationship A.

which is the correct answer would be an option (B).

What is a Linear Function?

A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.

We have been given that relationship A has a greater rate than relationship B.

Hours Worked                   Amount Paid

2                                              30.4

4                                               60.8

5                                               76

8                                             121.60

Let the number of hours worked x and the total amount paid y.

As per the given functions

⇒ y = 15.4x ...(i)

⇒ y = 15.2x ...(ii)

⇒ y = 16.4x ...(iii)

⇒ y = 14.9x ...(iv)

As per the linear function (ii),

⇒ y = 15.2×2

⇒ y = 30.4

The above is satisfy the point, therefore, it represents relationship A

Hence, the required equation is y = 15.2x which could represent relationship A.

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Mark has a container in the shape of a cube. He uses 64 cubes with side lengths of 1 inch to completely fill the container. What is the edge length of the container?

Answers

This means the area is 64 inches^2:

x * x = 64
x = 8

Hope this helps!

Answer:

4 inches is the edge length of the container.

Step-by-step explanation:

Length of the small cubes = a = 1 inch

Volume occupied each small cube = v = [tex]a^3=(1 inch )^3= 1 inches^3[/tex]

Length of the big cube = A

Volume of the big cube = V

[tex]V=A^3[/tex]

He uses 64 cubes with side lengths of 1 inch to completely fill the container.

[tex]V=64\times v=64\times 1 inches^3[/tex]

[tex]A^3=64\times 1 inch^3[/tex]

A = 4 inch

4 inches is the edge length of the container.

if y =6.6 when x=9.9, find y when x=6.6

Answers

I believe that the answer would be 3.3. When x=9.9 y is 3.3 less than 9.9 making it 6.6. So when x=6.6 y should be 3.3 less. Which would be 3.3. Hope this helps:)
To find the answer, first find y if x is 1. So, divide 9.9 by itself and -6.6 by 9.9. Then you get y = -0.666... when x = 1. Then multiply both by 6.6. You will get y = -4.4 when x = 6.6.

Sari has 3 times as many pencil erasers asSam. Together they have 28 erasers. How many erasers does Sari have?

Answers

3x +x = 28

4x = 28

x = 28/4 = 7

7x3 = 21

Sari has 21 erasers

Which of the following products represents 6 1/2% tax, in dollars, on a price of $14.29? a. (0.00675)(14.29) b. (0.0675)(14.29) c. (0.675)(14.29) d. (6.75)(14.29)

Answers

to Convert a percentage to a decimal, you divide the percentage number by 100.
6.5% ÷ 100 = .065.
This is the rate you will multiply $14.29 by to get the amount of sales tax you must pay.

The correct answer is (0.065) (14.29) = $0.93

Based on the information provided, none of the above options are correct. 
The options provided would make more sense if it were a 6 3/4% tax, and the answer would be B. 

Answer:

B

Step-by-step explanation:

6 3/4% tax

Esin started a T-shirt-printing business. She spent $2500 to purchase supplies to get started and she uses about $4.50 worth of supplies per T-shirt printed. Esin charges $25 for each T-shirt. Let s represent the number of T-shirts.

What is the minimum number of T-shirts Esin will need to sell to make a profit?



4.5s≥2500+25s

4.5s>2500+25s

25s<2500+4.5s

25s>2500+4.5s

Answers

Make profit i believe the answer is

25s>2500+4.5s

hope it helps
The correct answer would be 

D) 25s>2500+4.5s

Hope this helps and have a great day! 

Question 2 options:
All questions are about this system of equations:

{5x +18y =23
x +3y = 2
When you multiply the second equation by this number, what does it become?

Answers

the second equation becomes
-6x-18y=-12

5x+18y=23
-6x-18y-12

-x=11

x=-11

-11+3y=2

3y=13

y=13/3

Plz help with my gasoline question that I just put its due tomorrow!!?? it's number 7

Answers

do the problem 440×7.5 to find your answer
440/10*75=3,300 Hope that helps.

Find the standard form of the equation of the circle with endpoints of a diameter at the points

Answers

hello : 
let two points : A (a,b) , B (a' , b')
the center of the circle of diameter :  [AB] is (X0 , Y0) : 
X0 = (a+b)/2    and   Y0 = (a'+b')/2
the ridus is : r = AB/2
AB = √((a'-a)²+(b'-b)²)
the standard form of the equation of the circle is : 
(x-X0)² + (y -Y0)² = (AB/2)²

Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fourth power.

Answers

Final answer:

The limit as x approaches zero of the function (-6 + x)/x^4 is 0. This is arrived at using L'Hopital's Rule, which instructs us to take the limits of the derivatives of the numerator and denominator when the initial function limit causes an indeterminate form (0/0, infinity/infinity).

Explanation:

The limit of the function negative six plus x divided by x to the fourth power as x approaches zero cannot be solved using traditional limit computations as it creates indeterminate form. However, the L'Hôpital's rule

Rule can be used to determine this limit.

Under L'Hôpital's rule

rule, to solve for the limit of a function that results in an indeterminate form 0/0 or infinity/infinity, you take the derivative of the numerator and the derivative of the denominator independently, and then find the limit of that quotient as x approaches the given value.

In this case, the function is (-6+x)/x4. The derivative of -6+x is 1 and the derivative of x4 is 4x3. Therefore, after the first iteration of L'Hopital's rule, you are finding the limit as x approaches zero of 1/(4x3). Running the rule again we get 0/(12x2). Clearly there, the numerator is 0 and since x2 will be a non-negative number the limit would be 0. Hence, the limit of the function as x approaches zero is 0.

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The coordinates of point t are ​(0​,4​). the midpoint of st is ​(3​,−2​). find the coordinates of point s.

Answers

s is (6,-8)
that's it I think :3

Cube root of 0.000064

Answers

Cube root of 0.000064 = 0.04

hope it helps
------------------

A forest owned by the Jumbo Lumber Corporation contains 7,054 trees. If Jumbo Lumber cuts down 37 trees every day, which function can be used to find the number of trees, n, left in the forest after t days?

Answers

Answer:

n(t)= 7,054 - 37t

Step-by-step explanation:

Eight plus the quotient of a number and 3 is -2

Answers

" the quotient" means divide

eight plus the quotient of a number and 3 is -2...

8 + (n/3) = -2 <== ur equation
n/3 = -2 - 8
n/3 = - 10
n = -10 * 3
n = -30 <== ur number
8+(n/3)=-2
N/3=-2-8
N=-30

A games console costs £100
The cost is increased by 20%
The new cost is decreased by 20%

Which of the following is true?

[1 mark]


- The final cost of the console is less than the original cost


- The final cost of the console is the same as the original cost


- The final cost of the console is more than the original cost


Answers

The final cost of the console is less than the original cost. Trust me sounds weird but heres the stitch. 100+20%=120. 120-20%=96. So its less than the original cost.
First option -The final price is less than the original
my work:
100*1.2=120
20% of 120 is 25
120*0.8= 95

The sum of a number times 5 and 28 is less than 29

Use the variable b for the missing number

Answers

Since you know that b can't be 1 since 5+28 is over 29, b should be 0 or a negative number. Since you wouldn't be able to find the exact amount of b, you could write b=≤0 since the answer is 0 or anything lower. :) Hope this helped you understand

What is the simplified answer for -2/3+4/3

Answers

-2 + 4 = 2

 so:

-2/3 + 4/3 = 2/3

HELP PLZ 20 POINTS RIGHT ANSWERS ONLY :
Polygons LMNO and L'M'N'O' are shown on the following coordinate grid:


What set of transformations is performed on LMNO to form L'M'N'O'?

Answers

Well the first step is a reflection across the Y axis. Then there is a 90degree rotation. Hope this helps!

Answer:

A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

i got it right on my exam

Do numbers need to be listed in order when determining the arithmetic mean

Answers

Using the commutative property of addition, and since we simply add the numbers together in parenthesis, they do not

Which is the correct label of the parallel lines? parallel lines a and b are shown. points a and b lie on line a while points c and d lie on line
b?

Answers

Final answer:

The parallel lines mentioned in the question are correctly labeled as 'AB' for Line a (which involves points A and B) and 'CD' for Line b (which refers to points C and D).

Explanation:

In geometry, parallel lines are often labeled with the same letter. In your case, the parallel lines are described as Line a and Line b. Points A and B lie on Line a, and Points C and D lie on Line b. Therefore, to correctly label the lines, 'Line a' is written as 'AB' since points A and B are on this line. Meanwhile, 'Line b' is labeled as 'CD' since points C and D are on that line.

So, in conclusion, the correct labels for the mentioned parallel lines are AB for 'Line a' and CD for 'Line b'.

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write the equation of a line that is perpendicular to y=3z-2 and that passes through the point (-9,5)

Answers

y=-1/3+2 should be what you are looking for. 

What is the next term in the sequence? 44, 22, 11, 5.5...

Answers

This is a geometric sequence and the common ratio is 0.5.

So, the next term will be 2.75.

PLEASE HELP!

Solve for x.

x/3≤−6



A) x≤−18

B) x≤−2

C) x≥−2

D) x≥−18

Answers

The answer is A) x≤−18

A fair coin is tossed 10000 times the odds of getting exactly 5000 heads is closest to

Answers

Both heads and tails because there are only 2 choices

Answer:

5000 tails there are only two sides on  coin

Step-by-step explanation:

The township of Brock is growing at a rate of 6.5% per annum. How many people are there in Brock township now, if there will be 15000 in 4.5 years?

Answers

The formula is
A=p (1+r)^t
A people after 4.5 years 15000
P current people ?
R rate of growth 0.065
T time 4.5 years
Solve the formula for p to get
P=A÷(1+r)^t
P=15,000÷(1+0.065)^(4.5)
P=11,298.42 round your answer to get 11298

Hope it helps!
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