Combine and simplify the following radical expression.
(2^3 square root 12) (3^3 square root 2)

Answers

Answer 1

Answer:

432[tex]\sqrt{6}[/tex]

Step-by-step explanation:

Given: ([tex]2^{3}[/tex][tex]\sqrt{12}[/tex])([tex]3^{3}[/tex][tex]\sqrt{2}[/tex])

 = (8[tex]\sqrt{4*3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (8*2[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

 = (16[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])

So that;

16 x 27 x [tex]\sqrt{3}[/tex] x [tex]\sqrt{2}[/tex]

 = 432[tex]\sqrt{6}[/tex]

Thus the radical expression given can be simplified as 432[tex]\sqrt{6}[/tex]


Related Questions

BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS

Answers

they are vertical angles!!

Answer:

Verifal angles I think but I'm not necessarily sure!!!

Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2

Answers

Here multiple all your numbers together only for that question tho ok
Add the sides up of whatever is equal to the number it shows

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

1) Congruent

2) Vertical angles

3) 12x - 18 = 8x + 10

4) x = 7

Step-by-step explanation:

1)

Congruent because they're vertical angles.

2)

Vertical angles

3)

12x - 18 = 8x + 10

4)

12x - 18 = 8x + 10

12x - 8x = 10 + 18

4x = 28

x = 7

A young couple wants to save $40,000 over the next 5 years and then use this money as a down payment on a home. How much money must they deposit at the end of each quarter in an account that earns 5% compounded quarterly?

Answers

5% of 40,000 is 2,000

PLS HELP DO NOT TRIY THE FAKE I CANT UPLOAD STUFF
The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.



Write a question that could be answered by solving the equation 10−0.035d=4.

Answers

Answer:

By solving this equation for the variable ' d ', you learn how many days after you fill the tank you'll have to send somebody back to fill it again.

Step-by-step explanation:

500 people were surveyed about their favorite type of pet. 55% of the people said
"dog", 1/10 said "cat", 0.3 said "bird", and the rest said "other". How many people
responded "other"?

Answers

Answer:

25/500 or 5% said 'other'

Step-by-step explanation:

55% = 275 (dog)

1/10 = 50 (cat)

0.3 = 150 (bird)

Total = 475

475 out of 500 (95%) gave an answer other than 'other'

change 7 3/8 from a mixed. number to to an improper fraction

Answers

First, we set up the mixed number 7 3/8 with different colors, so it is easy to follow along:

7
3
8

Step 2 - Multiply
Next, we multiply the whole number by the denominator.

7 x 8 = 56

Step 3 - Add Numerator
Then, we add the numerator to the answer we got in Step 2.

56 + 3 = 59

Step 4 - Solution
Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 7 3/8 as an improper fraction is:

59
8

Answer:

59/8

Step-by-step explanation:

Multiply the whole number by the denominator.

[tex]7 * 8 = 56[/tex]

Add the numerator to the product.

[tex]56 + 3 = 59[/tex]

Write the sum over the denominator.

[tex]\boxed{\frac{59}{8}}[/tex]

Hope this helps.

pls help me answer number 2.

Answers

Answer: x=3, elimination method

Step-by-step explanation:

x=3

-7x-2y=-13    ->  -7x-2y=-13

-(x-2y=11)      ->   -x+2y=-11

                        -----------------

                          -8x=-24

                              x = 3

elimination method

because you can easily eliminate one variable (y) using the elimination method

In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks

Answers

Answer:

1/6 or 16.666%

Step-by-step explanation:

8/48 and there is your answer.

The concentration of active ingredient in a liquid laundry detergent is thought to be affected by the type of catalyst used in the process. The standard deviation of active concentration is known to be 3 grams per liter regardless of the catalyst type. Ten observations on concentration are taken with each catalyst, and the data follow:

Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0
Catalyst 2: 66.4, 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8.

a. Find a 95% confidence interval on the difference in mean active concentrations for the two catalysts. Find the P-value.
b. Is there any evidence to indicate that the mean active concentrations depend on the choice of catalyst? Base your answer on the results of part (a).
c. Suppose that the true mean difference in active concentration is 5 grams per liter. What is the power of the test to detect this difference if α = 0.05?
d. If this difference of 5 grams per liter is really important, do you consider the sample sizes used by the experimenter to be adequate? Does the assumption of normality seem reasonable for both samples?

Answers

Answer:

a. The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57

b. Yes

c. The power of the test is 0.03836

d. The sample size can be considered adequate

Step-by-step explanation:

a. The given data in the study

Catalyst 1: 57.9, 66.2, 65.4, 65.4, 65.2, 62.6, 67.6, 63.7, 67.2, 71.0

Catalyst 2: 66.4 , 71.7, 70.3, 69.3, 64.8, 69.6, 68.6, 69.4, 65.3, 68.8

Using the Average, Standard Deviation function from Microsoft Excel, we have;

The mean for Catalyst 1, [tex]\overline x_1[/tex] = 65.22

The standard deviation for catalyst 1, σ₁ = 3.444416

The mean for Catalyst 2, [tex]\overline x_2[/tex] = 68.42

The standard deviation for catalyst 2, σ₂ = 2.22401

The 95% confidence interval on the difference in mean is given as follows;

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]

The critical-z for a 95% confidence interval = 1.96

Therefore, we have;

[tex]\left (65.22-68.42 \right ) \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}}[/tex]

Therefore, we have;

The 95% C.I. is approximately -5.83 < μ₁ - μ₂ < -0.57

The test statistics is given as follows;

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

Therefore we have;

[tex]z=\dfrac{(65.22-68.42)}{\sqrt{\dfrac{3^{2} }{10}+\dfrac{3^{2}}{10}}} = -2.385[/tex]

The p-value = P(Z<-2.39 or Z > 2.39) = 2P(Z<-2.39) = 2 × 0.00842 = 0.01684

b. From the confidence interval which range from approximately -5.83 to -0.57 and does not include 0, therefore, there is a difference in mean active concentration which depends on the choice of catalyst

c. The power of the test

 The sample mean difference is given as follows;

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm z_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}} + \dfrac{\sigma_{2}^{2}}{n_{2}}}[/tex]

Therefore, we have;

[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) = \pm 1.96 \times \sqrt{\dfrac{3^{2}}{10} + \dfrac{3^{2}}{10}} = \pm 2.6296[/tex]

The z-value is given as follows;

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

μ₁ - μ₂ = 5

When [tex]\bar{x}_1-\bar{x}_{2} = 2.6296[/tex]

[tex]z=\dfrac{2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -1.7667918[/tex]

When [tex]\bar{x}_1-\bar{x}_{2} = -2.6296[/tex]

[tex]z=\dfrac{-2.6296-5}{\sqrt{\dfrac{3^{2} }{10}-\dfrac{3^{2}}{10}}} \approx -5.686768[/tex]

The power of the test is given by P = P(Z<-5.69) + P(Z>-1.77) = 0 + 0.03836 = 0.03836

The power of the test = 0.03836

d. The sample size is statistically adequate because the confidence interval of -5.83 < μ₁ - μ₂ < -0.57 has a value of -5 as a possible population difference in mean

The assumption of normality seems adequate because the confidence interval obtained by using the sample standard deviation is given as follows;

(-5.74, -0.66) which also contains -5 which is the difference in the population mean

Jim qualifies for $0 down payment but makes a $2,500 down payment on his car purchases anyway. Will this payment help or hurt him

Answers

Answer:

help him

Step-by-step explanation:

Paying a $2,500 down payment on an automobile would normally benefit Jim. He reduces the total amount of the loan for the vehicle he will need to take out by making a down payment, which reduces the cost of his monthly payments and the amount of interest he will have to pay over the life of the loan. Furthermore, having a down payment increases his chances of getting approved for a loan or receiving a cheaper interest rate.

What is Down payment?

A down payment is an upfront cash payment made when purchasing a significant ticket item like a car or a house. The down payment is often a proportion of the total cost of ownership and is made in order to lower the amount of financing required. Lower monthly payments or a shorter loan term are sometimes the outcome of a higher down payment.

A down payment is an initial up-front payment in part for the purchase of a large item or service, such as a car or a house. It is normally paid in cash or in the form of an equivalent at the time the transaction is completed. The balance of the payment is then financed by a loan of some kind.

Therefore, paying a $2,500 down payment on an automobile would normally benefit Jim.

Learn more about Down payment, here:

https://brainly.com/question/29397199

#SPJ2

Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?

Answers

3 pounds + 6 ounces

1 pound= 16 ounces

16x3= 48

48+6 = 54

Answer:

54

Step-by-step explanation:

16 x 3 is 48 then plus 6 is 54

there are 6 rows of chairs 4 rows are empty

Answers

Answer:

then only 2 rows are full

Step-by-step explanation:

im confused but if thats it then thats the answer if im right mark me brainliest

:>

x^2-6=2-18x solve by completing the square

Answers

X^1=-9[89],x^2=-9+[89]

Which table of the values can be defined by the function,y=4x-3

Answers

Answer:

B

Step-by-step explanation:

Linda just bought 7 bags of 14 cookies each. She already had 8 cookies in a jar. How many cookies does Linda have now?​

Answers

Answer:

106

Step-by-step explanation:

Answer:

106

Step-by-step explanation:

(14 x 7) + 8 = 106

What is the solution to the equation 3(x-2)=3(x+4)=27
Ox= 12
OX= 14
x= 16
Ox= 26

Answers

The answer is x=26.

Pictures in order !

Answers

Answer:X=10

Step-by-step explanation: 3x-2=2x+8 If that's what you're looking for

how is finding 8x3/4 similar to finding 3/4 of 8

Answers

Answer: your answer would be 6

8*3=24/4 and 24/4=6

Step-by-step explanation: Hope this help :D

Answer:

Because in order to find 3/4 of 8, you must solve for 8 * 3/4.

A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."

I would appreciate Brainliest, but no worries.

repersent 3 and 1/3 on a number line​

Answers

Answer:

Step-by-step explanation:

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.

Another way of saying it is:

In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.  

Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.  

Portrayals of Fractions on a Number Line  

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.  

Portions on a Number Line  

By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3

brainliest?

Someone please answer this without trying to send me a link

Answers

Answer:

y=-2x+5

Step-by-step explanation:

y=-2x+5

Can someone help me with this Geometry question? Will mark Brainliest.

Answers

Answer:

2 : 5

Step-by-step explanation:

4/10 = 8.6/21.5 = 10/25 because all ratios equal 2/5

Answer:

2:5

Step-by-step explanation:

all the ratios are equal

Use the figure below to complete the sentence.
B
A
E
39°
o
BGC and ZFGE are (select)
angles, so mZFGE =

Answers

Answer:

<BGC and <FGE are vertical angles

<BGC=90°-42°=48°

So m<FGE=48°

Hope it helps...

whoever gets this correct first gets brainlest

Answers

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

Please help me with this
−3+5+6g=11−3g
-Aster

Answers

Answer:

g=1

Step-by-step explanation:

6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer

Answer:

g=1

Step-by-step explanation:

solved and got the same answer

For BRAINLIST!!

Which statement is best supported by the information in the dot
plots?

Answers

Answer: D

Step-by-step explanation: because the The plot has 20 dots and it cannot be greater than or less then

The Frill family and the Smith family go to the movies.
The Frill family buys 6 adult tickets and 2 child tickets for $124.
The Smith family buys 3 adult tickets and 5 child tickets for $100.

Find the prize of an adult ticket and the prize of a child ticket.

Answers

Step-by-step explanation:

Let a be the price of 1 adult ticket.

Let c be the price of 1 child ticket.

given,

[tex]6a + 2c = 124[/tex]

as equation 1,

and

[tex]3a + 5c = 100[/tex]

as equation 2.

Now we will solve for a and c using elimination method of simultaneous equations.

Now we multiply equation 2 by 2 to eliminate a and solve for c.

[tex]3a \times 2 + 5c \times 2 = 100 \times 2 \\ 6a + 10c = 200[/tex]

This new equation will be equation 3.

Now we will use equation 1 - equation 3 to eliminate a and solve for c.

[tex](6a - 6a) + (2c - 10c) = 124 - 200 \\ 0 + ( - 8c) = - 76 \\ - 8c = - 76 \\ c = - 76 \div - 8 \\ = 9.5[/tex]

Now substitute c into equation 2.

[tex]3a + 5(9.5) = 100 \\ 3a + 47.5 = 100 \\ 3a = 100 - 47.5 \\ 3a = 52.5 \\ a = 52.5 \div 3 \\ = 17.5[/tex]

Therefore one adult ticket will cost $17.50 and one child ticket will cost $9.50.

(-8, -1); slope = - 3/4
Pleaseee this onee!!​

Answers

Answer:

y = -3/4x - 7

Step-by-step explanation:

Slope intercept:

y - y1 = m(x - x1)

y + 1 = -3/4(x + 8)

y + 1 = -3/4x - 6

y = -3/4x - 7

Six children want to share five chocolate bars fairly. How much chocolate will each child get?

Answers

Answer:

0.8 of a chocolate bar

Step-by-step explanation:

Bc 5 divided by 6 is 0.8

which sequence of transformations map triangle RST to triangle LMN? D0.5

Answers

Answer:

yeah my boy i think your right

Step-by-step explanation:

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