√500 simplify the radical expression

Answers

Answer 1

Answer:

=10√5 or 22.36068 as a decimal

the ^ is to the power of

Step-by-step explanation:

2^2 x 5^3

=[tex]\sqrt{2^{2} 5^{3} }[/tex] (you don't need the x it just did not let me put it in otherwise)

apply the exponent rule 2^2 x 5^3= 5^2 x 5 = √2^2x5^2x5

√2^2x5^2x5= √2^2 √5^2 √5= √2^2√5^2√5

next, apply the radical rule

√2^2=2 =2√5^2 √5

√5^2=5 = 2x5√5

=10√5 which is also 22.36068 as a decimal


Related Questions

Will give they crownnnnn

Answers

Answer:

c 44

Step-by-step explanation:

Answer: 44

55^2 minus 33^2 = radical 1936 which equals to 44 because 44^2 is.. 1936

PLEASE Help !!!!!!!!!!!!!!!!!!!!!
I need the answers for the ones marked with a blue x!!!!!!!!!!

Answers

Answer:

steps below

Step-by-step explanation:

f(x) = -2/5 * (x+1)² + 7

Parent function: f(x) = x²

Transformation: Vertical shift up 7 units and horizontal shift left 1 unit

reflect about the x axis (+) : parabola faced downward

compression:(+) *2/5

Help me please :( !
Kevin and christy both saved money for their class trip . Kevin saved the same amount each week . The total amount that Kevin saved at the end of every two weeks in shown in the table below .

Answers

Answer:

D. Christy saved $3 per week more than Kevin.

Step-by-step explanation:

We already know how much Christy saves per week, because of the equation y = 26x. She saves $26 per week.

To find Kevin's per week savings, divide y by x. I'll do (6, 138) as an example.

138 / 6

What multiple of 60 is closest to 138 without going over. That's 120.

138 - 120 = 18

Now we know the constant (k) is greater than 20.

18 / 6

6 goes into 18 three times.

20 + 3 = $23 per week.

$23/week is less than $26/week, so to say Kevin earned more than Christy in one week is wrong. As a result, A and C are out.

Now subtract 23 from 26 to get a $3 per week difference, which is D.

Help!
What is the value of x?

Enter your answer in the box.
x =

Answers

Answer:

39°

Step-by-step explanation:

102 + 39 = 141

180 - 141 = 39

Answer:

298

Step-by-step explanation:

What does x = ? 1 ÷ 11/2 = x

Answers

Answer:

x = 2/11

Step-by-step explanation:

1 ÷ 11/2 = x

1 · 2/11 = x (Used the opposite reciprocal and changed to multiplication. This is the same as dividing with the original fraction.)

2/11 = x

Answer:

[tex]1 \div \frac{11}{2} = x \\ \frac{1}{ \frac{11}{2} } = x \\ x = \frac{2}{11} \\ thank \: you[/tex]

What are the values of m x and a

Answers

Answer:

The value of x is 3

The value of m is 5.25

The value of a is 1.75

Step-by-step explanation:

I attached the picture with labels to can solve

In the 2 Δs ADE and ACF

∵ DE // CF

∴ m∠ADE = m∠ACF ⇒ corresponding angles

∴ m∠AED = m∠AFC ⇒ corresponding angles

→ By using the AA postulate of similarity

The two triangles are similar

∴ Their corresponding sides have the same ratio

∴ [tex]\frac{AD}{AC}[/tex] = [tex]\frac{EA}{FA}[/tex] = [tex]\frac{DE}{CF}[/tex]

∵ AD = AB + BC + CD

∵ AB = 3, BC = 6, CD = x

∴ AD = 3 + 6 + x

AD = 9 + x

∵ AC = AB + BC = 3 + 6

AC = 9

∵ AE = AG + GF + FE

∵ AG = 4, GF = 8, FE = 4

∴ AE = 4 + 8 + 4

AE = 16

∵ FA = AG + GF = 4 + 8

FA = 12

DE = 7 and CF = m

→ Substitute them in the ratio above

∴ [tex]\frac{9+x}{9}[/tex] = [tex]\frac{16}{12}[/tex] = [tex]\frac{7}{m}[/tex]

→ By using cross multiplication with the first 2 fractions

12 × (9 + x) = 9 × 16

∴ 12(9) + 12(x) = 144

∴ 108 + 12x = 144

→ Subtract 108 from both sides

∴ 108 - 108 + 12x = 144 - 108

∴ 12x = 36

→ Divide both sides by 12 to find x

x = 3

→ By using cross multiplication with the second 2 fractions

16 × m = 12 × 7

∴ 16m = 84

→ Divide both sides by 16

m = 5.25

In the 2 Δs ABG and ACF

∵ BG // CF

∴ m∠ABG = m∠ACF ⇒ Corresponding angles

∴ m∠AGB = m∠AFC ⇒ corresponding angles

→ By using the AA postulate of similarity

The two triangles are similar

∴ Their corresponding sides have the same ratio

∴ [tex]\frac{AB}{AC}[/tex] = [tex]\frac{GA}{FA}[/tex] = [tex]\frac{BG}{CF}[/tex]

AB = 3 and AC = 9

GA = 4 and FA = 12

BG = a and CF = m = 5.25

→ Substitute them in the ratio above

∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{12}[/tex] = [tex]\frac{a}{5.25}[/tex]

→ By using cross multiplication with the second 2 fractions

12 × a = 4 × 5.25

∴ 12a = 21

→ Divide both sides by 12 to find a

a = 1.75

Susan paid $240. to have her house decorated. The materials
used to decorate the house cost $115, and service was
charged at $5 an hour. How many hours was the house
worked on?
hours :
=

Answers

Answer:

2 hours

Step-by-step explanation:

$115 + $5 = 120

120 x 2 = 240

Answer:

25 hours

step-by-step explanation:

240-115=125/5=25 pog


[tex]4c + 18 = 74[/tex]
find the value of c 4c + 18=74​

Answers

Answer:

         c = 14

Step-by-step explanation:

4c + 18 = 74​         {subtract 18 from both sides}

4c = 56               {divide both sides by number by x (4)}

 c = 14

Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9

Answers

Answer:

1. 0.33  2. 0.16  3. o.11

Step-by-step explanation:

Plz help thanks I will mark brainliest

Answers

Answer:13x

Step-by-step explanation:I had that

Answer:

I have no clue what a graphical situation is but I do know the answer to x and how to plot it

first of all the answer to x is

x<-3 1/3

So first of all for the graph its a blank circle becuase its not a greater then or equal to sign.

Always iclude 0 in graphs

make a plot out of 1/3 benchmarks

1/2, 2/3, 1, 1 1/3, etc. (but its negative instead)

Now from the -3 1/3 point

make a black circle and make a line pointing to the left

there The graph

HELP PLS GUYS ANYONE PLSSSSSS-h

Answers

Answer:

1 5/24

Step-by-step explanation:

5/6 + 3/8

LCM of 6&8=24

(5/6)*4 =20/24

(3/8)*3=9/24

20+9/24= 29/24

QRD(Quotuient,Reminder,Divisor)

= 1 5/24

B.

Answer:

The second option, 1 5/24

Step-by-step explanation:

First off, find da flipping LCD UnU

6: 6, 12, 18, 24, 30

8: 8, 16, 24, 32, 40

We find that it is 24 UwU

5 x 4 = 20

6 x 4 = 24

5/6 - > 20/24

3 x 3 = 9

8 x 3 = 24

3/8 - > 9/24

20/24 + 9/24 = 29/24

29 - 24 = 5

29 ÷ 29 = 1

1 5/24

Which of the following is equivalent to 1/10?
A.
2/100
B.
1/100
C.
10/100
D.11/100

Answers

I think c not to sure

Answer:

C) 10/100

Step-by-step explanation:

1/10

To change it into a different fraction we can multiply, and since we want it to get the denominator to 100, we multiply by 10, because 10 x 10 = 100.

1 x10 10

- -

10 x10 100

Help please! Thank u so much 22 points for 5 questions

Answers

hi;augh4 vhaugawhfdb

Step-by-step explanation:

Marcus purchase 3 pounds of apples in 4 pounds of strawberries for a total of $12.50 Shannon purchase 5 pounds of apples in 1 pound of strawberries for a total of $13.75 right and solve a system of equations that can be used to find the cost of 1 pound of apples in 1 pound of strawberries

Answers

Answer:

Step-by-step explanation:

1. 3x+4y=12.5

  5x+1y=13.75

Answer:

1 pound of apple costs $2.50

1 pound of strawberries costs $1.25

Step-by-step explanation:

System of Equations

Let's define the following variables:

x = cost of 1 pound of apples

y = cost of 1 pound of strawberries

.........................................

Marcus purchased 3 pounds of apples and 4 pounds of strawberries for a total of $12.50. Thus:

3x + 4y = 12.50       [1]

Shannon purchased 5 pounds of apples and 1 pound of strawberries for a total of $13.75, thus:

5x + y = 13.75       [2]

We need to solve the system of the equations [1] and [2].

Solving for y in [2]:

y = 13.75 - 5x       [3]

Substituting in [1]

3x + 4(13.75 - 5x) = 12.50

Operating:

3x + 55 - 20x = 12.50

-17x = -55 + 12.50 = -42.50

Dividing by -17:

x = -42.50/(-17)

x = 2.5

Substituting in [3]:

y = 13.75 - 5*2.5

y = 1.25

Solution:

1 pound of apple costs $2.50

1 pound of strawberries costs $1.25

A ladder is leaning against a building. The
ladder hits the building 12 ft from the ground
The base of the ladder is 6 ft from the base of
the building. How tall is the ladder, to the
nearest tenth of a foot?

Answers

Answer:α

=

71

°

:

explain:

From trigonometry we have:

cos

α

=

7

21

7

=

21

cos

(

α

)

and:

α

=

a

r

c

cos

(

7

21

)

=

70.5

71

Work out the TOTAL surface area of this hemisphere which has a radius of 8cm?

Answers

Answer:

603.2cm²

Step-by-step explanation:

SAshpere=4πr²

SAhemi=2πr²+πr²

2πr²+πr²=3πr²

3×π×8²=192π

=603.2cm²

PLEASE HELP! The question is in the attachment.

Answers

Answer:

x > 1

Step-by-step explanation:

15 - 1 = 14

The inequality is 15 - 1 < 14, but this is incorrect. 14 can not be less than 14. In order for the left side to be less than 14, the x value (currently representing 1) should be larger than what it currently is to make the statement true.

Therefore, x>1

List 4 true angle facts about the illustration created by
AD intersects FK at point M.

Answers

Acute angles are less than 90 , right angles are 90 , straight lines are 180

3 1/8 rounded to the closest benchmark

Answers

I have the answer but brainly is not working

Answer:

3

Step-by-step explanation:

3 and 1/8 is rounded down to 3


Make
x
the subject of the formula
x
+
3
=
q

Answers

Answer:

x = q - 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

x + 3 = q

Step 2: Solve for x

Subtract 3 on both sides:          x = q - 3

Work out the area of a rectangle with base 18mm and perimeter 38mm

Answers

Answer:

684 mm squared

Step-by-step explanation:

Very simple. It's 18mm multiplied by 38 mm.

18 mm * 38 mm = 684 mm2

I need help with this pre calc question

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf\leadsto The \ domain \ of \ x \ will \ be \ (-\infty , +\infty) \ that \ is\ all \ real .}}}[/tex]

Step-by-step explanation:

Firstly set the argument in which (x² + 3) is Greater than 0 , to see where the expression is defined .

[tex]\bf \implies (x^2+3) > 0 [/tex]

Now ,let's simplify this

[tex]\bf \implies (x^2+3)>0 \\\\\bf\implies x^2 > 0 - 3 \\\\\bf\implies\boxed{\red{\bf x^2 > (-3) }}[/tex]

Since the left side has even Power , it is always positive for all real numbers.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

[tex]\underline{\green{\bf Interval\ Notation :- }}[/tex]

[tex]\bf ( - \infty , +\infty) [/tex]

That is [tex]\bf \{ x | x \in \mathbb{R} \} [/tex]

Hence option (b) is correct .

12.3 + (62 - 11.8) - 1?

Answers

Answer:

61.5

Step-by-step explanation:

(2b) After stopping for lunch, they travel at different speeds. To travel the next 60
miles, it takes Lin 65 minutes and it takes Diego 70 minutes. Who was traveling
faster? *
Lin
Diego

Answers

Answer:Lin

Step-by-step explanation: because it takes him less time for the mile

A measure of three angles of a triangle is shown below. What is the measurement of x? Record your answer in the gridable below.

Answers

x + (x + 2) + 38 = 180

2x + 40 = 180

2x = 140

x = 70

Karl’s watering system rotates at a constant. One complete rotation takes 72 hours. Following the circular motion of the watering system, how many degrees was watered after TWO DAYS?

Answers

Answer:

After two days, 240 degrees was water.

Step-by-step explanation:

24 hours = 1 day

72 hr/24 hr = 3 days

Therefore, one full rotation takes 3 days.

1 rotation = 360 degrees

360 degrees/ 3 days = 120 degrees per day

120 degrees x 2 days = 240 degrees

240 degrees was watered after two days

Find the lengths of all three sides of the
triangle


Answers

Answer:

GH = 49

GJ = 35

HJ = 35

Step-by-step explanation:

:::::

What is the first step in the solution of (x + 3)2 = 5?​

Answers

Answer:

Step-by-step explanation:

it should be  (x+3)2=5

xx2=2x+5=5

5-5=0

x=2

Answer:

(x+3)2=5

2(x+3)=5

2x+2x3=5

2x+6=5

(2x+6)+(-6)=5+(-6)

2x+6-6=5-6

2x=-1

2x/2=-1/2

x=-1/2

I've tried solving this but I'm stuck -8=2/x

Answers

Answer:

-0.25

Step-by-step explanation:

-8= 2/x

multiply both sides by x -> -8x =2

divide both sides by -8 -> x=2/-8

Ans= -1/4 = -0.25

here is my answer to -8=2/x :, x= -1/4

Triangle ABC is rotated 180 degrees around point B and then dilated to form triangle DBE as shown. Which postulate or theorem establishes that the triangles are similar? AA Similarity SSS Similarity SAS Similarity ASA Similarity

Answers

Answer:

AAA Similarity

Step-by-step explanation:

Given:

Triangles ABC and DBE

Required

Which postulate shows ABC and DBE similarity

From the question, we understand that the following transformation were done on ABC

RotationDilation

It should be noted that, when a triangle (e.g. triangle ABC) is rotated, the length of the sides and angle measurements remain unchanged.

However, when this triangle is dilated, the sides of the triangle change, but the angles remain unchanged.

Having said that,

When ABC is rotated and dilated to form DBE, we have:

[tex]\angle A = \angle D = a[/tex]

[tex]\angle B = \angle B = b[/tex]

[tex]\angle C = \angle E = c[/tex]

[See Attachment]

Hence, the postulate that answers this question is AAA (Angle-Angle-Angle).

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