[tex](\sqrt[3]{5})^{2}[/tex]

Answers

Answer 1

Answer:

[tex](\sqrt[3]{5})^2=5^\frac{2}{3}[/tex]

Step-by-step explanation:

[tex](\sqrt[3]{5})^2[/tex]

[tex](5^{\frac{1}{3}})^2[/tex]

[tex]5^{\frac{1}{3}*2}[/tex]

[tex]5^\frac{2}{3}[/tex]

Remember that [tex](\sqrt[a]{x})^b=x^\frac{b}{a}[/tex]


Related Questions

If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?

18

2

1 half

1
6

Answers

Answer:

x = 18

Step-by-step explanation:

difference between y = 12, x=72 is 6

so if y = 3 then multiply 3×6 = 18

Answer:

18

Step-by-step explanation:

On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

Answer:

They sold 111 Hamburgers

Step-by-step explanation:

Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.

So, X+3X=444 is what you need to solve this. This is the same as 4x=444

So, x=111

Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers

A square coffe shop has sides that are 7 meters long what is the coffe shops area

Answers

Answer:

49 square metres

Step-by-step explanation:

The area of a square is the length of the side times itself.

The area is 7 x 7 = 49

In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU

Answers

Circle theorem states that the angle that an arc subtends at the center of a

circle is twice the angle subtended at the circumference.

The values are as follows;

m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA =  29°m∠BAC = 21°[tex]m\widehat{ED}[/tex]  =  90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°

Reasons:

[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.

m∠EPC = 180°

∴  m∠EDA = 0.5 × 180° = 90°

2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°

[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]

m∠BDC = 0.5 × 42° = 21°

3. m∠BEC = m∠BDC = 21°

4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°

5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition

m∠AEB = 0.5 × m∠APB

m∠AEB = 0.5 × 80° = 40°

6. m∠ECA = 0.5 × m∠AE

Therefore;

m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]

m∠ECA = 0.5 × 58° = 29°

m∠ECA =  29°

7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]

m∠BAC = 0.5 × 42° = 21°

m∠BAC = 21°

8. [tex]m\widehat{ED}[/tex]  = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]

[tex]m\widehat{ED}[/tex]  = 180° - 90° = 90°

[tex]\mathbf{m\widehat{ED}}[/tex]  =  90°

9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠ECD = 0.5 × 90° = 45°

10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]

m∠ACB = 0.5 × 80° = 40°

11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]

m∠EBD = 0.5 × 90° = 45°

12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]

m∠ADB = 0.5 × 80° = 40°

13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]

m∠CAD = 0.5 × 90° = 45°

14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EAB = 0.5 × 180° = 90°

15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]

m∠EBC = 0.5 × 180° = 90°

Learn more about circle theorems here:

https://brainly.com/question/25101481

The value of √42 Is a rational or an irrational number. ​

Answers

Answer:

irrational

Step-by-step explanation:

Answer:

Irrational.

Step-by-step explanation:

When we simplify √42, we get:

6.48074069841 (Calculator Used)

And 6.48074069841 is an irrational number.

Hoped this helped.

[tex]GeniusUser[/tex]

A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?

Answers

Answer:  303.870087962229

Simplify ≈303.87

Step-by-step explanation:

Grows 9.5%→r=0.095 Divide by 100

Grows every 2 decades: exponent of t2

(where t is in decades)

Write a function:

f(t)=240(1+0.095) ^t/2 Percent change every 2 decades

52 years→52/10→5.2 decades There are 10 years in a decade

Plug in t=5.2

f(5.2)=240(1+0.095) 5.2/2

Answer:  303.870087962229

≈303.87

Round to the nearest hundredth

A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.

Answers

Answer:

12.5 hours

Step-by-step explanation:

[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]

The student worked for 12.5 hours.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

A student earns $8 per hour plus a $15 bonus each weekend day worked.

Now, let the student works for h hours.

So, the earning would be= 15+ 8h

As, he earned $115

So, 15+ 8h= 115

8h = 100

h = 12.5 hours

Hence, the student worked for 12.5 hours.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ2

What are the slopes (m1 & m2) to
1.)
3x+6=30
&
4y+2x=9

2.)
-x-y=-1
&
y+x=7​

Answers

1.) undefined; 1/2
2.)-1;-1

Pls I need help quickly!

Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?

Answers

Answer: she will get 50 shoes in 15 weeks

How: she gets 2 pairs of shoes each week and she need 30 more shoes. 30 divided by 2 equals 15.

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

Mindy claims 20 sets of shoes and consistently she buys two additional matches.

The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,

aₙ = a₁ + nd

aₙ = 20 + 2n

The number of weeks is given as,

50 = 20 + 2n

50 = 20 + 2n

50 = 20 + 2n

Simplify the equation, then we have

2n = 50 - 20

2n = 30

n = 30 / 2

n = 15

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.

Answers

Answer: $8 21 quarters

Step-by-step explanation:

20 quarters is $5 plus another is $5.25

8 dollars is $8 plus the $5.25 = $13.25

Have a nice day, and if you could be so kind as to give me a brainliest

What is greater 7 or -7

Answers

7 is greater because it’s a positive and above 0, -7 is under 0 which is considered a negative

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

(-2,-4) reflected across the line y = -1

Answers

(-2, -4) reflected across y=-1 is (-2, 2)

Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee

Answers

The answer is t^6

Explanation: this is if the numerator has exponent of 12 and denominator has exponent of 6(I can’t really see)

make t the subject of the formula in the image

Answers

Answer:

t=[tex]\frac{2-3q}{q+4}[/tex]

Step-by-step explanation:

q(t+3)=2-4t

qt+3q=2-4t

qt+4t=2-3q

t(q+4)=2-3q

t=[tex]\frac{2-3q}{q+4}[/tex]

Tim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.

Answers

The maximum height each tooth is 2.47cm.

The first step is to determine the maximum volume of a tooth.

Maximum volume of a tooth = volume of the block / number of teeth

81 cm³ / 20 = 4.05cm³

The formula to determine the height of a cone is:

Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²

Where:

π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cm

Height = 4.05  ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm

To learn more about the volume of a cone, please check: https://brainly.com/question/1315822

please help !!!!!!!!!!!plss

Answers

Answer:

4

Step-by-step explanation:

replace x with its value to get

8-2y+3y=12 then combine like terms

8+y=12 subtract 8 from both sides

y=4

Answer:

the answer is numbe 1 which is 0

Step by step explaination:

what is 56 inches in meters rounded to the nearest hundredth

Answers

Answer:

  1.42 m

Step-by-step explanation:

Each inch is 0.0254 meters, so 56 of them is ...

  56(0.0254 m) = 1.4224 m ≈ 1.42 m

The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same game for 5 ice cream cones and 8 funnel cakes. How much does a funnel cake cost? How much does an ice cream cone cost?

Answers

Answer:

$1.75  cost of the funnel cake and $4.25 cost of the ice cream cone.

Step-by-step explanation:

x = cost of the ice cone cone

y = cost of the funnel cake

3x + 4y = 19.75      multiply (-2)       ⇔     -6x - 8y = -39.50

5x + 8y = 35.25    do not change   ⇔  +  5x + 8y = 35.25

                                                                     -x  =  -4.25

                                                                      x = 4.25  cost of the ice cream cone

Substitute into the second equation x = 4.25 and solve  for y

5(4.25) + 8y = 35.25

21.25 + 8y = 35.25

  8y = 14

y = 1.75    cost of the funnel cake

Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.

Answers

Step-by-step explanation:

1296.84 / 12 = $108.07 earned per day

is the sum of two rational numbers always rational

Answers

Answer:

in short, Yes they are always rational.

here's why...

E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had

Step-by-step explanation:

PLS ANSWER
AND I WILL MARK AS BRAINLIST

Answers

Answer:

72

Step-by-step explanation:

Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..

Brainliest would be appreaciated! :-)

A square is cut diagonally into two equal parts. If each part has an area of 50cm^2, then what is the perimeter of each part?

50 points the answer isnt 30 so dont say it is because it isnt

Answers

Answer:

its 25.

Step-by-step explanation:because 50 divided by 2 is 25.

Answer:

40 units

Step-by-step explanation:

1) Find the side length of the square

Let the side be "s".

[tex]\rightarrow \frac{1}{2} \times s \times s = 50 \ \text{cm}^{2}[/tex]

[tex]\rightarrow s \times s = 50 \times 2[/tex]

[tex]\rightarrow s \times s = 100[/tex]

[tex]\rightarrow \sqrt{s \times s} = \sqrt{100}[/tex]

[tex]\rightarrow s = \±10[/tex]

[tex]\rightarrow s = 10 \ \text{units}[/tex]                                      (Side lengths can never be negative)

2) Find the perimeter of the square

[tex]\text{Perimeter of square = 4(s) = 4(10) = 40 units}[/tex]

Please help find these values.

Answers

Answer:

3. x=14° y=7

4. x=29° y=3

Step-by-step explanation:

3. this is a 45 - 45- 90 triangle

so the side is a-a-a√2 ( two sides are the same)

4y-3=10+2y+1 -- collect like terms

4y-2y=10+1+3

2y=14

y=7

find the angle of the inside triangle

180-59-90 =

31°

we know the big triangle was a 45-45-90 angle

so x+31=45

x=45-31

x=14°

4. this is a square, all sides are same

5y+3y=24

8y=24

y=3

angle is 90°

x+x+9y+5=90

we know y=3 --substitute

x+x+9(3)+5=90

2x+27+5=90

2x=90-27-5

2x=58

x=58/2

x=29

someone please help me

Answers

Answer:

Area = 6cm^2

Step-by-step explanation:

Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]a^{2} + 3^{2} = 5^{2}[/tex]

or

[tex]a^{2} + 9 = 25[/tex]

Subtract 9 from 25.

25 - 9 = 16

Square root 16 to get 4.

a = 4

Now to find the area.

Area = 1/2(3*4)

12/2 = 6

Find
Area of triangle when base is 4cm and angles 60 and 70

Answers

Answer:  Area = 6.64966

Step-by-step explanation:

At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?

Answers

Answer:

2:3

Step-by-step explanation:

Simply divide each by 10

20/10=2

30/10=3

and your ratio is 2:3

Please help.. I am stuck !

Answers

the answer is D ^-^ !!!

Hey y’all can u give me the correct answer pls.

Answers

Answer:

x > -7 (Hey man think before ask)

Step-by-step explanation:

It is so easy .....

Answer:

-6,-4,-2,3

Equation: x>−7

Step-by-step explanation:

Just ask.

Hope this helps.

What is the answer to this?

Answers

Answer:

[tex]\frac{12}5[/tex]

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]

z/3 <= 3
solve for z

Answers

Answer:

assuming <= is less than or equal to

then z/3 is less than or equal to 3

z had to be less than 9

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