What is the product of 6V3 and 8V30 in simplest radical form?

Answers

Answer 1

Answer:

144√10

Step-by-step explanation:

6√3 x 8√30

= 48√90

= 48 x 3 x √10

= 144√10

Answer 2

Answer:

[tex]144\sqrt{10}[/tex]

Step-by-step explanation:

   [tex]6\sqrt{3} \cdot 8\sqrt{30}[/tex]

[tex]=6\sqrt{3} \cdot 8\sqrt{3 \cdot 10}[/tex]

[tex]=6\sqrt{3} \cdot 8\sqrt{3} \sqrt{10}[/tex]

[tex]=6 \cdot 8 \cdot\sqrt{3} \sqrt{3} \sqrt{10}[/tex]

[tex]=48 \cdot3 \sqrt{10}[/tex]

[tex]=144\sqrt{10}[/tex]


Related Questions

4s^3 when s=2


plsss help

Answers

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32

For a new hobby, Leo purchases a vintage camera for $475. Leo pays $5.99 for each roll he gets developed. Calculate how much Leo’s new hobby is costing him based on the number of film rolls he needs to develop.

Answers

Answer:

A = 5.99x + 475

Step-by-step explanation:

In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.

is 14.624777961 rational or irrational

Answers

Step-by-step explanation:

Rational number because it's terminating

help me pls i need help

Answers

Answer:

8

Step-by-step explanation:

Find x in APQR.
R
х
5 P
12
a.
13
b. 15
d. 160
C.
16

Answers

Answer:

the answer is 16 okay it simple ok

Kevin plants a total of 72 flowers in equal rows. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row.

Answers

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

the distance covered by a spider is 5 km in 6 hours. What is its speed?

Answers

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

2-1/2x=y what is this in slope intercept form

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

2-1/2x=y

y=2-1/2x

y=-1/2x+2

Solve for X (simplify your answer)​

Answers

Answer:

x is given as -1.5. Substitute to confirm

Select all expressions that are equal to
5
8
.

A.
1
8
+
1
8
+
1
8
+
1
8
+
1
8
B.
2
4
+
3
4
C.
1
8
+
2
8
+
3
8
D.
4
8
+
1
8
E.
4
7
+
1
1

Answers

Question:

Select all expressions that are equal to 5/8.

A. 1/8 + 1/8 + 1/8 + 1/8 + 1/8B. 2/4 + 3/4C. 1/8 + 2/8 + 3/8D. 4/8 + 1/8E. 4/7 + 1/1Solution:

Let's review each option one by one.

Option A

1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 5/8=> (1 + 1 + 1 + 1 + 1)/8 = 5/8=> (5)/8 = 5/8 (True)

Thus, Option A is correct.

Option B

2/4 + 3/4 = 5/8=> (2 + 3)/4 = 5/8=> 5/4 = 5/8 (False)

Thus, Option B is incorrect.

Option C

1/8 + 2/8 + 3/8 = 5/8=> (1 + 2 + 3)/8 = 5/8=> 6/8 = 5/8 (False)

Thus, Option C is incorrect.

Option D

4/8 + 1/8 = 5/8=> (4 + 1)/8 = 5/8=> 5/8 = 5/8 (True)

Thus, Option D is correct.

Option E

4/7 + 1/1 = 5/8=> 4/7 + 7/7 = 5/8=> (4 + 7)/7 = 5/8=> 11/7 = 5/8 (False)

Thus, Option E is incorrect.

Final Answer(s):Option A and D are correct.

Which is the estimate of 398 x 1.9?

Answers

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

[tex]\tex\text{398 can be rounded to 400, as 398 is close to 400.}[/tex][tex]\tex\text{1.9 can be rounded to 2, as 1.9 is close to 2.}[/tex]

This means that:

[tex]398 \times 1.9[/tex] ≈ [tex]400 \times 2[/tex]

Simplifying "400 x 2"

[tex]400 \times 2[/tex] [tex]= 800[/tex]

Thus, the estimate of 398 x 1.9 is about 800.

Which polynomial is prime? x4 3x2 – x2 – 3 x4 – 3x2 – x2 3 3x2 x – 6x – 2 3x2 x – 6x 3.

Answers

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.

Given polynomials are:

[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]

What are prime polynomials?

A polynomial not having more than one factor is called a prime polynomial.

Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]

Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]

Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]

There are no factors of the fourth polynomial so this is a prime polynomial.

Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.

To get more about the polynomial visit:

https://brainly.com/question/2833285

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.

Please help, thank you!

Answers

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

How do i figure out the degrees?

Answers

Answer:

  41°

Step-by-step explanation:

This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.

  -1125 = -1500·cos(A)

  cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)

  A = arccos(3/4) ≈ 41.4096°

The angle formed by the lines to the lampposts is about 41°.

__

Additional comment

If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.

In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.

A trapezoid has 19 inches base, as well as 10.8 inches height. What is the area?

Answers

Answer:205.2

Explanation:Since the formula for area is LxW.You multiply 19x10.8 and get 205.2

Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46℅ of his collection. How many books does he have in his collection?

-- pls explain!!!

Answers

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

What is the answer ?5(y+2/5)=-13

Answers

Answer:

y=-3

Step-by-step explanation:

5(y+2/5)=-13

5y+2=-13

5y=-15

y=-3

A number cube is rolled and a coin is flipped. What is the probability that a number greater than 2 is rolled and the coin lands on heads?

Answers

Answer:

1/3

Step-by-step explanation:

The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2

You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.

Hope this helps!

Please help me do to night

Answers

Answer:

1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48

Step-by-step explanation:

10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y

10(-0.4(3)+3(2))

10(-0.4(3))+10(3(2))

10(-1.2)+10(6)

-12+60

= 48

Naelly is taking a class trip to Washington DC. The cost of the trip is $459. 60. Naelly paid an initial deposit of $150, and must make the remainder of the payments in 12 equal monthly payments. What is the amount of each monthly payment in dollars and cents?

Answers

459.6 - 150 = 309.6

309.6 / 12 = $25.80 a month for 12 months

PLEASE HELP FAST!!♡
For f(x) = -x+2 and g(x) = x + 4, find f(x) = g(x).​

Answers

Answer: x=-1

Step-by-step explanation:

Downtown it snowed 1/10 of an inch inthe morning and 3/10 of an inch in the evening. How much more snow fell in the evening than in the morning?

Answers

Answer:

2/10

Step-by-step explanation:

Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.

Have an amazing day!

PLEASE RATE!!!

5x+3=x+11

x=?

(step by step, I am very not smart)

Answers

Answer:

x=2

Step-by-step explanation:

5x+3=x+11

5(2)+3=2+11

10+3 = 2+11

13=13

Therefore, x=2

(basically you just plug in random numbers and see if it gets you the same answer on both sides)

Hope this helps!!

math answer? can someone help?

Answers

Answer:

I think the answer is "A"

Macy's department store just had a huge sale and now needs to increase the price of all retail by 13%. What will be the price of the shirt after the markup?
(the shirt costs $42.00)​

Answers

Answer:

47.46 dollars

Step-by-step explanation:

If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.

I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

no calculator or Excel sheet ?

(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25

((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8

(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6

(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27

(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4

remember 2 things :

1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).

2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.

a / 1/b = a × b/1 = a × b

A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41. 4 square centimeters. What is the length of the longer side of the rectangle?Use 3. 14 for π. Enter your answer as decimal in the box

Answers

The length of the longer side of the rectangle is 8.78cm

Area of composite figure

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

Learn more on area of composite figure here: https://brainly.com/question/21135654

Please answer this friends ?

Answers

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

Tyshaun buys music online. Each song costs $2 plus a $5 fee for using the artist’s site. He has no more than $40 to spend. Which inequality shows the number of songs, s, Tyshaun can purchase?

Answers

Answer:

I dont see options, but the answer should be: X(2+5)≤40

Step-by-step explanation:

Find the slope of the line that passes through the following points: (1,0)
and (6,-3). (Show your work.)

Answers

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

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