(√2)^3
[tex] (\sqrt{2) {?}^{3 \\} [/tex]

Answers

Answer 1

[tex]\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf[/tex]

[tex]\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}[/tex]


Related Questions

The Brazos River is the longest river in Texas with a length of 1, 352 km. The elevation of the source is 453 m above sea level, and the mouth is the Gulf of Mexico, with an elevation of m above sea levelAt what angle does the Brazos River flow, on average , in degrees ? (Round to the nearest hundredth .)

Answers

Answer:

0.02degrees

Step-by-step explanation:

Given the following

Length of the river (adjacent) = 1352km = 1352000m

Height of the source (opposite) = 453m

Required

angle of elevation theta

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan theta = 453/1352000

tan theta = 0.0003351

theta = arctan(0.0003351)

theta = 0.02 degrees

Hence the Brazos river flows at an angle of 0.02degrees to the nearest hundredth

Here is my question it is worth 15 points!

Answers

Answer:

What is your question????

Answer:

you don't have a question here tho

Step-by-step explanation:

translate twice x is at most -29 into an inequality

Answers

twice x as in x to the second power?
if it is x to the second power your answer would be
x^2 ≤ -29

The answer is 2x ≤ - 29

Step-by-step-explain

Twice x is at most -29 into an inequality

2x ≤ - 29

Thus, The answer is 2x ≤ - 29

-TheUnknownScientist

BRAINLIEST if correct NO LINKs

Answers

Answer:

just divide its simple

Step-by-step explanation:

from the left triangle (70) to the right triangle (23) it is a reduction of .329

Sarah rode her bike 54km in 4hours what’s her average speed?

Answers

Answer:5.4 km

Step-by-step explanation:

If a conversion rate of 8 dollars is worth 13 euros, how many euros do you get
when you convert 500 dollars?

Answers

Make these fractions and set them equal to each other with dollars on top, euros on bottom

8/13 =500/x

(Cross multiply)

8x= 6,500

(Divide by 8 to isolate the variable)

x= 812.5

(Euros are paper money, not a coin system and they won’t give you more money than what you gave them so you must round down to the nearest whole number which is 812 Euros)

ANSWER:
812 Euros

Write the log equation as an exponential equation. You do not need to solve for x.
log (x-6) (6) = 3x – 5

Answers

Answer:

(x-6)^3x-5 =6

Step-by-step explanation:

logb a=c ------>  b^c =a

Please help with this Ive been stressing out lately and I want a break I'll give hearts and 5 stars.

Answers

Answer:

8.8584073464

Step-by-step explanation:

area of the rectangle is 12

area of the circle is just pie

subtract the two and you get 8.8584073464

Answer:

Step-by-step explanation:

Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.​

Answers

9514 1404 393

Answer:

  6 2/3

Step-by-step explanation:

  4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3

what is the absolute value of the complex number −4−i 2√?

Answers

Answer:

-4-i2

The absolute value is the Square root of the real and Imaginary Parts of the Complex No

= √(-4)²+(-2)²

=√16+4

=√20

=2√5

Oak Street and Elm Street run parallel to each other. When Main Street
intersects them, it forms exterior 28, measuring 60°. What is the-
measure of
22?

Answers

Answer:

100degrees

Step-by-step explanation:

From the given diagram;

<2 = <6 (corresponding angle)

Since <6 + 80 = 180

<6 = 180 - 80

<6 = 100 degrees

Since <2 = <6, hence <2 = 100degrees

In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?

Answers

Answer:

Cosecant U = 53 / 28

Step-by-step explanation:

Please see attached photo for diagram.

We'll begin by calculating the ratio of sine U. This can be obtained as follow:

Angle U = θ

Opposite = 28

Hypothenus = 53

Sine U =?

Sin θ = Opposite / Hypothenus

Sine θ = 28 / 53

Thus,

Sine U = 28 / 53

Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:

Sine U = 28 / 53

Cosecant U =?

Cosecant U = 1 / Sine U

Cosecant U = 1 ÷ 28 / 53

Cosecant U = 1 × 53 / 28

Cosecant U = 53 / 28

A rectangular tank measuring 35 cm by 28 cm by 16 cm is 2/5 filled with
water. The water is poured into an empty cubical tank of edge 18 cm until
it is full. How much water is left in the rectangular tank? Give your answer
in millilitres.

Answers

Answer:

Amount of water left in tank = 440 cm³

Step-by-step explanation:

Given:

Sides of tank respectively = 35 cm , 28 cm , 16 cm  

Water level in tank = 2/5

Side of a cubic tank = 18 cm

Find:

Amount of water left in tank

Computation:

Volume level in rectangular tank = [2/5][35 x 28 x 16]

Volume level in rectangular tank = [2/5][15,680]

Volume level in rectangular tank = [31,360/5]

Volume level in rectangular tank = 6,272 cm³

Volume of cube = side³

Volume of cube = 18³

Volume of cube = 5,832 cm³

Amount of water left in tank = Volume level in rectangular tank - Volume of cube

Amount of water left in tank = 6,272 - 5,832

Amount of water left in tank = 440 cm³


HELP ME ‼️

$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)

Answers

Answer:

median of (298, 196, 248) - 196

median of (379, 319) - 349

median of (276,198, 349) - 198

Step-by-step explanation:

1. What is the opposite of -17

Answers

Answer:

Step-by-step explanation:

17

17 is the opposite my friend.

What closed figure do the coordinates 3,3), (-5,3), (-1, -3), (3, -3) make?

Answers

Answer:

(8,-4) Correct me if there's wrong QwQ

A hose can fill a swimming pool in 12 hours. Another hose needs 2 more hours to fill the pool than the two hoses combined. How long would it take the second hose to fill the
pool?
hr

Answers

Answer:

6

Step-by-step explanation:

6 because 12 divided by 2 is 6 and it takes 2 hours to fill yw

Help plzzzzz fast and no links

Answers

Answer:

x=60

Step-by-step explanation:

I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60

MATHS
1. Caleulate the area of a rectangle of length
250cm and width 200cm.
2. A square room is 650cm long. Find the area in:
(i) square centimeter (ii) square metres​

Answers

Answer:

1. 50000

2.

i 274625000cm

ii 274.625m

Step-by-step explanation:

1. Area of a rectangle: length*width

250*200=50000cm

2. Volume of a cube: length^3

i 650^3=274625000cm

ii 650 cm=6.5m; 6.5^3=274.625m

Yup that person is right ...

How long will it take $3000 to earn $900 interest at 6% simple interest?
20 points and brainly ;)

Answers

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

Timmy wants to buy a scooter and the price was $50. When he goes to the store the second time, he found that the price was marked down by 16%. What was the new price?

Answers

Answer:

kk

Step-by-step explanation:

Answer:

Step-by-step explanation:

20% of 50 is the same as writing 50 x 0.20, so we just do the math on that. Since it was marked down that much, we subtract the found 20% from the 50. The new price of the scooter is $40.

Emily has a coupon for 10%off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 10% and 40% make 50% so it will cost $30 is Emily correct explain what price will Emily pay for the backpack

Answers

Answer:

It is true that 20% and 30% make 50%. But in the context of sale prices it is essential to keep track of the wholes to which these percents apply. For the backpack, the 30% discount applies to the original $60 price: 30% of $60 is 0.3×60=18 making the discount on the backback $18. So after using the coupon, the backpack price becomes $42. Emily's additional 20% coupon applies not to the original backpack price but to the discounted price of $42: 20% of $42 is $8.40. Emily would need to save an additional $12 off the $42 price in order to buy the backpack for $30 so her calculations are not correct.

As seen in part (a), Emily's coupon lowers the discount rack price by $8.40 so she will pay

42−8.40=33.60

or $33.60.

Step-by-step explanation:

When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.

Required:
Find an equation for Sn.

Answers

Solution :

If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.

Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,

[tex]a_1 = D[/tex]

[tex]a_2=D_c[/tex]

[tex]a_3 = Dc^2[/tex]

[tex]a_4 = (Dc^2)c= Dc^3[/tex]

....

[tex]a_n=Dc^{n-1}[/tex]

∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]

  [tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]

  [tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]

  [tex]S-n=D . \frac{1-c^n}{1-c}[/tex]


A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours

Answers

should be A. 2 2/5 hours

what is the area and circumference please help just tell only the answer

Answers

the area is 547.39
the circumference is 84.19
hope this helped :)

Circumference = 82.896 inches

Area = 547.1136 inches squared

Solve for
X/11=10/12

Give your answer as an improper
fraction in its simplest form.​

Answers

12x = (10)(11)

12x=110

x=110÷12

x=55/6

look at pic will mark brainilest

Answers

Answer:The first one 18in.2

Step-by-step explanation:

The answer is the second one 40inches

Question 8
8. Ray is making face masks and needs to
purchase elastic cord. He needs 10.25 cm
elastic cord for each face mask. He orders 20
m of elastic cord. If he doesn't want any of
the cord to be wasted, what is the least
amount of extra cord that he would need to
add to his order of 20 m?
A.
B.
9 cm
10.25 cm
C.
D.
20.09 m
20.9 m

Answers

9514 1404 393

Answer:

  B.  9 cm

Step-by-step explanation:

The number of face masks Ray can make with 20 m of cord is ...

  (20 m)(100 cm/m)/(10.25 cm/mask) = 195.12195 masks

To make one more mask, he will need to buy an additional amount of ...

  (196 -195.12195)×(10.25 cm) ≈ 9.00 cm

Ray would need to add 9 cm of cord to his order.

Clearly mark on the coordinate plane the location of the ordered pairs and
identify what quadrant they are in.

J (4,0) quadrant ________ and M(-2,-3) quadrant ___________

Answers

Answer:

Point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

Step-by-step explanation:

A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.

Here, coordinate axes are [tex]x-[/tex]axis and [tex]y-[/tex]axis.

Let's first mark the points in the coordinate plane.

See the attached figure.

From the figure, it can be observed that point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.

A piece of aluminum that is 20 cm³ has a mass of 54 g.
a. What is the density of the aluminum?

Answers

2.7 grams/ cm ³ , it will float
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The units can either be sold at the split-off point for $16 each, or processed further at a total cost of $9,800 and then sold for $19 each.Required:1. What is the financial advantage (disadvantage) of further processing product X15? 2. Should product X15 be processed further or sold at the split-off point? Solve the problem.If sin = 1/4, find csc .A) 3/4B) -1/4C) 4D) undefined Pecan acquires Southern in an acquisition reported as a merger. The acquisition results in $50 million in goodwill. The acquisition cost includes an earnings contingency, valued at $1 million at the date of acquisition. Within the measurement period, additional information on Southern's expected future performance at the date of acquisition reveals that the earnout actually had a fair value of $200,000 at the date of acquisition. The entry to record the new information includes a credit of $800,000 to: HELP PLEASE like I really need help harrison bought a 10 foot ramp to load his dirt bike into the back of his truck. the ramp hooks to the 3 foot high tailgate. how far away from the tailgate doe the ramp sit in the ground? Summarize this passage to demonstrate comprehension. So why did the bonding bill get thrown out? Why has Congress had so much trouble passing this bill? Typically, large spending bills take a lot of discussion and compromise. For example, while supporters were working to pass these bills in 2004 and 2005, lawmakers were going head-to-head over funding issues. In 2005 alone, lawmakers had to extend the highway and mass transit bill seven times due to disagreements on how the budget should be divided. Combine that disagreement with the fact that many of the powerful supporters of PRT were getting in hot water, and you have a recipe for disaster. Congress never passed the bill. Which of the following describes a difference between the Declaration ofIndependence and the Declaration of the Rights of Man and of the Citizen?A. The Declaration of Independence describes certain rights only formen, while the Declaration of the Rights of Man and of the Citizenalso discusses women's rights.B. The Declaration of Independence opposed absolute monarchy,while the Declaration of the Rights of Man and of the Citizensupported it.C. The Declaration of Independence established a new country, whilethe Declaration of the Rights of Man and of the Citizen only lists aset of principlesD. The Declaration of Independence was based on Enlightenmentideas, while the Declaration of the Rights of Man and of the Citizenwas based on classical Greek philosophy. Find the area of the circle when the circumference is 26 in 1. What is the military-industrial complex?-The partnership between big business and the U.S. armed forces that created a permanent war economy.-The balance between military spending and domestic spending that had to be maintained.-The possibility that the U.S. could become a military dictatorship if it focused too much spending on the military.-The U.S. economy being based on both domestic and war production, which made the U.S. a superpower. AB=A, B, equals Round your answer to the nearest hundredth. what came first bedrock java or pocket these are not the right answers but does anyone know the right answers? please help