Simplify. 6 √20 - 3 √8

(Please explain the steps so I can better understanding thank you:))

Answers

Answer 1

Answer:

to simplify this problem the answer would be 12sqrt5 - 6sqrt2 but I cannot explain it.

Step-by-step explanation:

Answer 2

Step-by-step explanation:

[tex]6 \sqrt{20} - 3 \sqrt{8} \\ = 6 \sqrt{4 \times 5} - 3 \sqrt{4 \times 2} \\ = 6 \times 2 \sqrt{5} - 3 \times 2 \sqrt{2} \\ = 12 \sqrt{5} - 6 \sqrt{2} \\ [/tex]


Related Questions



In the recursive formula an = an−1 + 5, the value of the previous term is represented by

A) an

B) a5

C) an+5

D) an−1

Answers

Step-by-step explanation:

In the recursive formula an = an−1 + 5

[tex]a_n = a_{n-1}+5[/tex]

Suppose if a_5 is the nth term then previous term is a_4

To get the previous term we need to subtract 1 from the n

So a_n is the nth term

[tex]a_{n-1}[/tex] is the previous term

Here 5 represents the common difference between two terms

So value of previous term is represented by

[tex]a_{n-1}[/tex]

Answer : [tex]a_{n-1}[/tex]

Answer:

D) [tex]a_{n-1}[/tex]

Step-by-step explanation:

-1 indicates the previous term


Hawaii (12° F)

-60South Dakota (-58° F)

Enter the difference, in degrees, between the record low temperatures
Hawaii and South Dakota.​

Answers

Final answer:

The difference in degrees between the record-low temperatures of Hawaii and South Dakota is 70°F.

Explanation:

The difference in degrees between the record-low temperatures of Hawaii and South Dakota can be found by subtracting the temperature of South Dakota from the temperature of Hawaii.

Hawaii has a record low temperature of 12°F and South Dakota has a record low temperature of -58°F.

Therefore, the difference in degrees between the two record-low temperatures is:

(12°F) - (-58°F)

= 12°F + 58°F

= 70°F.

5. There are 8,336 doctors being trained in the country. Half of the doctors, which is about
__________, will finish their training in two years.
a. 4,000 b. 4,200 c. 4,400

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 4,200

Step-by-step explanation:

This is your answer because 8,336 could be rounded to 8,400 and 8,400 divided by 2, or split in half is 4,200.

Equation: 8,400÷2= 4,200

0.5(r+2.75)=3 sovle for r

Answers

Hope this will help u...:)

Rosa is converting a unit of measure in one system to a unit of measure in another system. 1,760 yd1 mi⋅0.914 m1 yd⋅1 km1,000 m Which statement about Rosa's calculations is true?
Rosa is finding the number of kilometers in a mile.


Rosa is finding the number of meters in a mile.


Rosa is finding the number of miles in a kilometer.


Rosa is finding the number of yards in a kilometer.

Answers

Answer: Rosa is finding the number of kilometers in a mile.

Step-by-step explanation:

According to the given information, we have:

1,760 yd=1 mi

0.914 m=1 yd

1 km=1,000 m

So, as we can see, Rosa wants to convert miles to yards, then yards to meters and finally meters to kilometers:

[tex](1 mi\frac{1,760 yd}{1 mi})( \frac{0.914 m}{1 yd})( \frac{1 km}{1,000 m})=1.608 km[/tex]

Then:

[tex]1  mi=1.608 km[/tex] This is the number of kilometers in a mile.

what is the width of orion’s belt? That is, what is the distance between alnitak and mintaka

Answers

Answer:width-184.08 light year distance between alnitak and mintaka-60 light years

Step-by-step explanation:

PLEASE HELP FIRST ONE GETS IT

Answers

Answer:x=-1

Step-by-step explanation:

To solve 6-3+4x+1=

Collect like terms

6+1-3+4x=

7-3+4x=

4=-4x

x=-1

There is one solution

Help me ASAP please

Answers

Answer: 120

Step-by-step explanation:

Answer:

The one on the left is 120.

The one on the right is 185

Step-by-step explanation:

It izz wat it izzzz!!!

Need help on number 10!!

Answers

Answer:

looking for the leg

Step-by-step explanation:

use patharoum therom to solve

Answer:

Step-by-step explanation:

For the check one box it will be hypotenuse and the equation will be 36^2 and 34^2

What is the distance between (-6,4) and (-8, 6)?

Answers

Answer:

[tex]\sqrt{8}=2\sqrt{2}[/tex]

Step-by-step explanation:

by using well known formula, distance on XOY plane

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=\sqrt{(-8-(-6))^2+(6-4)^2}

\\=\sqrt{(-2)^2+(2)^2}[/tex]

The distance between the points (-6,4) and (-8, 6) can be found using the distance formula derived from the Pythagorean Theorem. After substituting and simplifying, we find the distance to be sqrt[8] or about 2.83 when rounded to two decimal places.

To find the distance between two points, we use the distance formula derived from the Pythagorean Theorem: d = sqrt[(x2 - x1)² + (y2 - y1)²].

Here, we are trying to find the distance between points (-6,4) and (-8, 6). We assign (-6,4) to (x1, y1) and (-8,6) to (x2, y2).

So, substituting into our formula we get: d = sqrt[(-8 - (-6))² + (6 - 4)²] = sqrt[(2)^2 + (2)^2] = sqrt[4 + 4] = sqrt[8] or about 2.83 when rounded to two decimal places.

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Factor this expression completely.

39x − 52y + 13

Answers

Answer:

13(3x-4y+1)

Step-by-step explanation:

Rewrite 52 as (4)(13)

Rewrite 39 as (3)(13)

[tex]=(3*13)x+(4*13)y+13[/tex]

Then factor out the common term 13

[tex]13(3x-4y+1)[/tex]

That is your answer!

Have a nice day. Please vote brainliest!

Answer:

13(3x-4y+1)

Step-by-step explanation:

The owner of an office building is expanding the length and width of a parking lot by the same amount. The lot currently
measures 120 ft by 80 ft, and the expansion will increase its area by 4.400 ft? By how many feet should the length of the
parking lot be increased?

Answers

Answer:

The length of the parking lot should be increased by 20 feet.

Step-by-step explanation:

First, you find the product of 120 and 80, you get 9600.

Next, add 4400 to it. You get 1400

Finally what would you add to both 120 and 80 to get 14000? 20 to get 140*100.

A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?

Answers

Answer:

3/9

Step-by-step explanation:

Round 6.82245628434 to 5 decimal places

Answers

The number after rounding off to 5 decimal places will be -

6.88246

We have the following number - 6.82245628434

We have to round it of to 5 decimal places.

What are Rounding numbers?

Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use. Foe example - 53 rounded to the nearest ten is 50.

According to the question, we have the following number -

6.82245628434

Rounding it off One by one until we get 5 digits after decimal -

R1 - 6.8224562843

R2 - 6.822456284

R3 - 6.82245628

R4 - 6.8224563

R5 - 6.822456

R6 - 6.82246

Hence, the number after rounding off to 5 decimal places will be -

6.88246

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Final answer:

The number 6.82245628434 rounded to 5 decimal places is 6.82245.

Explanation:

To round the number 6.82245628434 to 5 decimal places, you should consider the 6th digit beyond the decimal point. In this case, the 6th digit is number 5, and the 5th digit is 2 that is even. Because the digit following the decimal place you are rounding to (5th place, the digit is 2) is exactly 5 and preceding digit is even, you don't round up the preceding digit. So, when you round 6.82245628434 to 5 decimal places, you get 6.82245.

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A windshield wiper blade turns through an angle of 135°. The bottom of the blade traces an arc with a 5-inch radius. The top of the blade traces an arc with a 22-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? Round to the nearest whole number.

Answers

The upper arc is longer than the lower arc by inches.

Step-by-step explanation:

Since both the arcs are made by the same wiper blade, hence the angle of the arc would be the same.

The radius of upper arc= 22 inch

The radius of the lower arc= 5 inch

Angle made by the arc= 135°

We know that length of the arc= (angle made/360)*2πr

Where r is the radius of the arc

The difference in the arc length has been due to the difference in radius of the arcs.

Hence, the difference in the radius would be equal to the difference in arc length.

Difference in wiper radius= 22-5= 17 inch

Putting the values together

arc length= (135/360)*2*3.14*17

arc length= 40.035

The difference in arc length=40 inches (rounded off to the nearest whole number)

Which of the following groups is NOT considered a sample of the US population?
A.) Women who live in the US
B.) People who are registered to vote in the US
C.) Europeans who vacation in the US
D.) Students who attend public schools in the US

Answers

C) Europeans who vacation in the U.S

The correct groups is NOT considered a sample of the US population is,

⇒ Europeans who vacation in the US.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

To find groups which is NOT considered a sample of the US population.

Now, By the given statements we get;

The correct groups is NOT considered a sample of the US population is,

⇒ Europeans who vacation in the US.

Thus, Option C is true.

Learn more about the mathematical expression visit:

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A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to
cover the roof?

Answers

Answer:

1280ft²

Step-by-step explanation:

To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.

The area of the square base is

[tex] {40}^{2} = 1600 {ft}^{2} [/tex]

The area of the four triangular faces is

[tex] = 4 \times \frac{1}{2} \times 40 \times 16 = 1280 {ft}^{2} [/tex]

In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof

Describe the likelihood of spinning an odd
number then an even number.

Answers

The probability of spinning a odd number is (3/6, 1/2, 0.5, or 50%)
The probability of spinning an even number is the same.

The common difference ,d in an arithmetic sequence whose fourth term is 16 and whose seventh therm is 31

Answers

Answer: d=5

Step-by-step explanation:

Arithmetic progression

An=a1+d(n-1)

An= nth term

A1= first term

D= common difference

N= nth position

We are given the 4th and 7th terms

For 4th term,n=4

A4=a1+d(4-1)

A4= 16

16= a1+d(4-1)

16= a1+3d........equation 1

For the 7th term,n=7

A7=a1+d(7-1)

A7= 31

31=a1+6d......equation 2

Bring them together

16=a1+3d

31=a1+6d

Subtract equation 1 from 2

So we have

15=3d

D=15/3

D=5

Therefore, the common difference is 5

a rectangle has an are of 240 square centimeters. The height of the rectangle is 24 centimeters. What is length of its base?

Answers

Answer:

The length is 10 cm

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

240 = 24*l

Divide each side by 24

240/24 = 24l/24

10 =l

The length is 10 cm

6. Y=...?
Find the equation using the graph and table of values.

Answers

Answer:

[tex]y=-1x+1[/tex]

Step-by-step explanation:

To find the equation, you have to know the equation 'format' which is [tex]y=mx+b[/tex]

mx is the slope

b is the y-intercept

The slope is -1 because it goes down 1 and right 1      [tex]\frac{rise}{run}[/tex]

The y-intercept is 1 because that is where the line touches the y-axis.

So, if we plug it in, it will look like:

y = -1x + 1        which can also be written as        y = -x + 1

y+2=−2(x−3)
what is the slope of the line?
will get brainliest

Answers

Answer:

y = -2x + 6 - 2

y = -2x + 4

The slope of the line is -2.

Step-by-step explanation:

Answer:

Y+2= -2(x-3)

Subtract 2 both sides

Y= -2x + 6 -2

Y= -2x + 4

The slope is. -2

Step-by-step explanation:

2 PONS
Factor the polynomial: x(3x + 5) - 4(3x+5)
O A. (3x+5)(x - 4)
O B. 4x(3x + 5)
O C. (3x+5)(x+4)
O D. -4x(3x + 5)
SUBMIT

Answers

The right answer is of option A.

Look at the attached picture

Hope it will help you...

A 12 pack of cola costs $5.46. How much does one can of cola cost? In other words, find the unit rate of one can of cola.

Answers

Answer:

.45

Step-by-step explanation:

5.46 is a 12 pack

5.46/12 = .455

Answer:

$0.46

Explanation:

12 cans = $5.46

1 can = .455

What is the mean?
1 4 0 0 1 5 3 2 2

Answers

Answer:

Mean is 2

Step-by-step explanation:

If y equal 6 what is 2y

Answers

Answer:

12

Step-by-step explanation:

2*6=12

Answer:

12

Step-by-step explanation:

if y is 6 this u change the y to a 6 making it a multiplication problem 2*6

please...please help offering 20 points

Answers

Answer:

Option D 0.84

Step-by-step explanation:

Answer:

0.84

Step-by-step explanation:

i think thats it because i know it cant be a negative

How many solutions does the equation 5x=2 have

Answers

Answer:

one solution

Step-by-step explanation:

5x=2

Divide each side by 5

5x/5 = 2/5

x = 2/5

There is one solution

Brainliest to first person to answer + 35 points

Answers

Answer:

I am pretty sure it is

Step-by-step explanation:

(d) or( b)

D I just did it and a thanks you

What did the Selective Service Act mean for American men

Answers

Answer: The Selective Service Act requires all men between the ages of 21 and 30 to register for military service.

Step-by-step explanation:

Answer:

they could be drafted into the army

Step-by-step explanation:

Ape x

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