PLEASE HELPPP ASAPP!!

Combine and simplify the following radical expression.

PLEASE HELPPP ASAPP!!Combine And Simplify The Following Radical Expression.

Answers

Answer 1

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

[tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex]  Given. [tex](2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )[/tex] Commutative property/ Associative property. [tex]6\cdot \sqrt[3]{24}[/tex] Definition of cubic root/[tex]\sqrt[n]{a} = \sqrt[n]{b}[/tex]/Result

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591


Related Questions

.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23

Answers

Answer:

-0.2

Step-by-step explanation:

pls give me brainliest if possible

Six points are plotted on the number line.



Which points on the number line are opposites?

Answers

Answer: P and U

Step-by-step explanation:

A box contains 7 green marbles, 10 blue marbles, and 5 red marbles. Three marbles are selected at random from the box, one at a time, without replacement. Find the probability that two of the marbles selected are green and the other marble is red.

Answers

Answer:

5/253

Step-by-step explanation:

The first green is 7/23, the second is 6/22 and the red is 5/21. Multiply them together for 5/253.

find the discriminant of -2x^2+8=x^2-28

Answers

Answer:

If I'm not wrong I think the answer should be (-28)

The mean time it takes a certain pain reliever to begin reducing symptoms is 20 minutes with a standard deviation of 4.39 minutes.
Assuming the variable is normally distributed, find the probability that it will take the medication less than 25 minutes to begin to work.
A. 0.8729
B. 0.3708
C. 0.8708
D. 0.3729

Answers

20+25 is 45 so 4:39 and add that is A . My best guess

13,22,31,...
Find the 31st term.
Find the 31st term.

Answers

Answer:

The 31st term is 283

Step-by-step explanation:

The sequence has a common difference therefore, it is an arithmetic sequence

[tex]an = a1 + (n - 1)d[/tex]

a31 = 13 + ( 31-1 ) 9

a31 = 13 + 270

a31 = 283

22) A corporate charter specifies that the company may issue up to 20 million shares of stock. The company sells 12 million shares to investors and later buys back 3 million shares. The current number of shares of treasury stock after these transactions have been accounted for is:

Answers

Answer:

  11 million

Step-by-step explanation:

20 -12 +3 = 11

There will be 11 million shares of stock in the treasury.

A hardware store mixed 7 gallons of red paint with every 11 gallons of blue paint to make purple paint. Which ratio of gallons of red paint to gallons of blue paint will make the same shade of purple paint?

Answers

Answer:

2 b + 6 r = 2 * 24

5 b + 3 r = 2 * 21 ... 10 b + 6 r = 84

subtracting equations (to eliminate r) ... 8 b = 36

solve for b , then substitute back to find r

3. A savings account is started with an initial deposit of $500. The account earns 1.5% interest compounded annually. (a) Write an equation to represent the amount of money in the account as a function of time in years. (b) Find the amount of time it takes for the account balance to reach $800. Show your work. Answer:

Answers

Answer:

31.334... years

Step-by-step explanation:

Initial value = $500

r = 1.5%

t = ?

A = (500)[tex]e^{.015*t}[/tex]

I was unsure if the question was asking to express the equations in terms of t =, but i did those steps anyway just in case.

A/500 = [tex]e^{.015*t}[/tex]

ln A/500 = ln[tex]e^{.015*t}[/tex]

ln A/500 = .015*t

ln(A/500)/.015 = t

t = ln(A/500)/.015

To find the amount of time it takes for the account balance to reach $800, we plug in $800 for A in the equation that solves for t.

t= ln(800/500)/.015 = 31.334...(rounded) years

We also could have solved by plugging in $800 into the original equation and then solving for t, but i found it to be easier to find the equation for t prior to solving. Hope this helps!

Terry deposits a principal amount of $500 in a savings account that earns an annual rate of a simple interest. if he makes no deposits or withdrawals, he will earn $40 in simple interest in 4 years. What is the annual rate of simple interest?

Answers

Answer

$540

Step-by-step explanation:

hopes this helps

6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?

Answers

Answer:

54mile equal to 81km

8mile equal to 12km

Daisy had 2 3/4
bags of mulch to put in her yard. Each bag will cover 235.5 ft2
. How much square feet will she be able to cover is she uses all of the bags of mulch?
help me plsssssss

Answers

Answer:

mmmmmmm

Step-by-step explanation:

n

Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.

The amount of mulch is given as:

[tex]Bag = 2\frac 34[/tex]

The area covered by each bag is given as:

[tex]Area = 235.5ft^2[/tex]

If she uses all bags, the total area covered by the bags is:

[tex]Total = Bag \times Area[/tex]

So, we have:

[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]

Rewrite the fraction as an improper fraction

[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]

This gives

[tex]Total = \frac {2590.5}4 ft^2[/tex]

[tex]Total = 647.625 ft^2[/tex]

Hence, she will be able to cover a total area of 647.625 square feet

Read more about areas at:

https://brainly.com/question/24487155

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?


Answers

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

Which is NOT true?
16 + 3 = 11 + 8
16 = 16
16 - 4 = 7 + 6
16 = 19 - 3

Answers

Answer:

16 - 4 = 7 + 6

Step-by-step explanation:

16 - 4 = 12

7 + 6 = 13

find the answer given below​

Answers

Answer:

Surface area = 6l^2

Volume = l^3

If total surface area increased by 2, then the length increased by [tex]\sqrt{2}[/tex]

Volume then is increased by ([tex]\sqrt{2}[/tex]l)^3 = 2[tex]\sqrt{2}[/tex]l^3

1 :2 [tex]\sqrt{2}[/tex]

Which is not an option in the question so this question clearly has a problem.

First of all It's supposed to be "then" not "than," so I'm not sure who teaches math without even knowing this basic grammar.

Second of all, if the answer is 8:1 the question should be "If each sides of a cube is doubled" not "the lateral surface area." Come to think of it what even is lateral surface area of a cube if all sides of the cube is supposed to be same.

Or, if the answer is 2:1 then, it should be If height lateral surface area of a cube is doubled by doubling the height and without changing the length and width"  But, then the the shape would no longer be a cube.

Who even wrote this garbage question what.

PLEASE Help!!:
Check for understanding:

Answers

1)   Circumference:  C = D × π = 40 × 3.14 = 125.6

     Area:  [tex]S=r^2.\pi =(\frac{D}{2} )^2.\pi = (\frac{40}{2})^2.3,14=1256\\[/tex]

2)  Perimeter: P = 10.82 +10.82 + 12 + ( 12 . 3,14 )/2 = 52.48 mm

     Area:  [tex]S=\frac{9.12}{2}+(\frac{12}{2} )^2.\pi = 167.04<mm^2>[/tex]

 

    ok done. Thank to me :>

Ahmad gives his friend Juana a lottery ticket for her birthday. The ticket cost Ahmad $1, and the back of the
ticket says, "The overall odds of winning a prize with this ticket are 1 : 50, and the expected return for this
ticket is $0.50.6000000
Ahmad says, "lf 1,000 people each bought one of these tickets, they'd have spent $1,000 in total and get back
about $5,000."
Juana says, "The probability that one of these tickets wins a prize is 0.50, on average."
Whose statement is correct based on the expected value?
Choose 1 answer:
Only Ahmad's
Only Juana's
Both statements are correct.
Neither statement is correct.

Answers

According to the information provided the statement of both people is incorrect (option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:

0.50 x 1000 = 500

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:

1 ÷ 50 = 0.02

According to the above, none of the statements of the characters is true.

 

Learn more about mathematics in: https://brainly.com/question/19003099

Answer:

Neither statement is correct

Step-by-step explanation:

Got it right on Khan Academy

What reaction did Pocahontas's people have to her helping the Jamestown colonists?

Answers

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation:

QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)

Answers

The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]

We are give a cone with dimensions as seen in the diagram in the attached image.

The volume changes at the rate

[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]

the negative sign is used because the volume of water is reducing.

what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate

[tex]\frac{dh}{dt}|_{h=3cm}[/tex]

The relationship between the volume and the height is given by

[tex]V=\frac{1}{3}\pi r^2h[/tex]

but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this

[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]

substitute into the volume formula to eliminate [tex]r[/tex]

[tex]V=\frac{\pi h^3}{27}[/tex]

differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly

[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]

to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]

[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]

So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]

Learn more about related rate of change here: https://brainly.com/question/15576763

Least to greatest (sorry I’m horrible at simple math)

Answers

Step-by-step explanation:

Least to greatest

= 0.919, 0.99, 1.09

Answer:.919,099,1.09

Step-by-step explanation:

You need to buy bananas at the store, but you realize you only have $2. How many bananas could you buy if they each cost 30 cents?

Answers

Answer:

6 bananas

Step-by-step explanation:

2 ÷ 0.30 = 6.6 repeating so 6 bananas

HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST

Answers

The answer is < A hope this helps

write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.

Answers

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

What is this in simplest form?

Answers

40/50

80 divided by 2
100 divided by 2

I need this answer answed ASAP please..work out the area of the shaded shape

Answers

Answer:

Step-by-step explanation:

A = 8(14) - 5(14 - 5 - 2) = 77 m²

Answer:

77m (squared)

Step-by-step explanation:

Match the expression to the method needed to evaluate (will give brainlest)​

Answers

Answer:

See image

Step-by-step explanation:

This is to help you practice exponent rules. The rules are short cuts, which are good bc they're faster but bad bc they take away the meaning of the work. If you're trying to remember a rule, think through the meaning. See image.

So, "multiply exponents" and "product of powers" are basic two equivalent phrases! I think the answers on the image should work, but jic if not switch those two.

The Add exponents rule and Subtract are 100% correct.

The expressions are matched to the method needed to evaluate as shown below.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The first expression is 5³ × 5³.

Multiplication rule of exponents states that,

xᵃ × xᵇ = xᵃ⁺ᵇ

That is we add the exponents.

So, 5³ × 5³ = 5³⁺³ = 5⁶

The next expression is (7²)³.

We have the rule, (xᵃ)ᵇ = xᵃᵇ

So, here, multiply the exponents.

(7²)³ = 7⁶

(4x³)⁵

We can write it as,

(4x³)⁵ = 4⁵ . (x³)⁵

That is write is as product of the powers.

Division rule of exponents states that,

xᵃ / xᵇ = xᵃ⁻ᵇ

6⁹ / 6⁵ = 6⁹⁻⁵ = 6⁴

So, subtract the exponents.

Hence the expressions are matched.

Learn more about Exponents here :

https://brainly.com/question/5497425

#SPJ2

What is the discriminate of the following quadratic equation?
4x^2 - 2x + 6 = 0

Answers

-92

Step-by-step explanation:

If a quadratic equation has the following form:

[tex]ax^2 + bx + c =0, \;\;\;a \neq 0[/tex]

then its discriminant D is defined as

[tex]D = b^2 - 4ac[/tex]

In our given quadratic equation, a = 4, b = -2 and c = 6, so its discriminant is

[tex]D = (-2)^2 - 4(4)(6) = -92[/tex]

Note: The value of the discriminant D will determine the characteristics of the roots of the quadratic equation according to the following rules:

[tex]D > 0,\;\;[/tex] there will be 2 real roots

[tex]D = 0,\;\;[/tex] there will be 1 real root

[tex]D < 0,\;\;[/tex] there will be 2 imaginary roots

Hence our given quadratic equation will not have any real roots but only imaginary ones.

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a dessert for $7.99. You had amazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

The total bill after the tip, discount, and tax is $37.76.

The total cost of the order is reduced by the coupon and increased by the tax paid and tip.

Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert

$2.99 + $9.99 + $11.50 + $7.99 = $32.47

Value of the tip = 20% x $32.47 = $6.49

Cost of the items after the coupon: (100% - 10%) x $32.47

90% x $32.47

0.9 x $32.47 = $29.22

Cost of the items after the tax: (1.07) x $29.22 = $31.27

Total cost of the items = $31.27 +$6.49 = $37.76

To learn more about taxes, please check: https://brainly.com/question/25311567

parallel to the line y=3/5x-8; passes through (0,-3)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]

so we're really looking for the line of a slope of 3/5 and passing through (0,-3)

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]

A ant runs 45 inches in 15 seconds, a snail crawls 12 inches in 3 seconds. Who is faster? I need help please and thank you :)

Answers

45in/ 15 sec= 3in/sec

12in/ 3 sec = 4 in/sec

The snail moves at a faster rate then the ant does

Answer:

the snail

Step-by-step explanation:

in order to find who is faster you have to find how many inches each one does in one sec

Ant= 45/15 which is 3 inches per sec.

snail=12/3 which is 4 inches per sec.

so from the above calculations we can see that according to the question given a snail crawls faster than an ant runs

I hope this helps

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