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3 years ago

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

Mathematics

2 answers:

s2008m [1.1K]3 years ago

8 0

Answer:

$144\sqrt{10}$

Step-by-step explanation:

$6\sqrt{3} \cdot 8\sqrt{30}$

$=6\sqrt{3} \cdot 8\sqrt{3 \cdot 10}$

$=6\sqrt{3} \cdot 8\sqrt{3} \sqrt{10}$

$=6 \cdot 8 \cdot\sqrt{3} \sqrt{3} \sqrt{10}$

$=48 \cdot3 \sqrt{10}$

$=144\sqrt{10}$

expeople1 [14]3 years ago

7 0

Answer:

144√10

Step-by-step explanation:

6√3 x 8√30

= 48√90

= 48 x 3 x √10

= 144√10

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The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.

Mamont248 [21]

Answer:

S(0, 2)

Step-by-step explanation:

Midpoint Formula: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

Step 1: Plug in known variables

5 = (10 + x)/2

-8 = (18 + y)/2

Step 2: Solve

10 = 10 + x

x = 0

-16 = 18 + y

y = 2

Step 3: Write coordinates

(0, 2)

4 0

4 years ago

gina visited the aquarium with some of her cousins aunts and uncles.the group bought 20 admission tickets for $340.adult tickets

jeka94

Answer:

375

Step-by-step explanation:

340 + 20+ 15 = 345

4 0

3 years ago

Read 2 more answers

What should the next number be? 100 96 104 88 120 56

riadik2000 [5.3K]

100 ---> 96 is -4

96 ---> 104 is +8

104 ---> 88 is -16

88 ---> 120 is +32

120 ---> 56 is -64

So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.

The pattern of numbers is: -4, +8, -16, +32, -64

Notice it's the powers of 2:

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^6 = 64

each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.

The last difference is -64, which doubles to -128. Change the sign to positive to get +128

Add 128 to the last term of 56 to get

128+56 = 184

Therefore, the final answer is 184

8 0

4 years ago

Integrate by parts or trig substition integral or anti derivative of dy/(y^2-16)

Lera25 [3.4K]

The simplest method probably would be to split up the integrand into partial fractions.

$\dfrac1{y^2-16}=\dfrac18\left(\dfrac1{y-4}-\dfrac1{y+4}\right)$

Then

$\displaystyle\int\frac{\mathrm dy}{y^2-16}=\frac18\left(\int\frac{\mathrm dy}{y-4}+\int\frac{\mathrm dy}{y+4}\right)=\frac18\left(\ln|y-4|-\ln|y+4|\right)+C$

$=\dfrac18\ln\left|\dfrac{y-4}{y+4}\right|+C$

$=\ln\sqrt[8]{\left|\dfrac{y-4}{y+4}\right|}+C$

4 0

3 years ago

How many ways can you divide nine children into a team of 4, a team of 3, and a team

11Alexandr11 [23.1K]

Answer:

If we want to divide a group of N objects into K objects; we have

$c = \frac{N!}{(N - K)!*K!}$

combinations

For the first group, N = 9 and K = 4

$c1 = \frac{9!}{5!*4!} = \frac{9*8*7*6}{4*3*2} = 126$

For the second group we have N = 5 (cause we already took 4 of them) and K = 3

$c2 = \frac{5!}{2!*3!} = 10$

For the last group we have N =2 and K = 2, so there is only one possible combination, c3 = 1 then we have that the total number of combinations is:

C = c1*c2*c3 = 126*10*1 = 1260 possible divisions.

numbers with one digit = 9, in those 9 numbers we have 9 digits.

numbers with two digits; (99 - 10 = 89) numbers, in those 89 numbers we have 2*89 = 178 digits, plus the 9 of before we have 178 + 9 = 183.

Now, for each number of 3 digits we have 3 digis obviusly, so we can write:

N*3 = 600 - 183

and N is the number of 3 digits number needed.

N = 317/3 = 139

So the 139-th number of 3 digits, this is:

100 + 139 - 1

The minus one goes because 100 is already a 3 digit number:

100 + 139 - 1 = 238

238 is the positive integer n.

6 0

4 years ago