Which expression is equivalent to [(4^5/4•4^1/4)/4^1/2]^1/2

Answers

Answer 1

Answer:

2

Step-by-step explanation:

[(4^5/4•4^1/4)/4^1/2]^1/2

= [(4^(5/4) • 4^(1/4))/4^(1/2)]^1/2

= [(4^(3/2))/4^(1/2)]^1/2

= 4^(1/2)

= sqrt(4)

= 2

Answer 2

Answer:

2

Step-by-step explanation:

[tex][(4^{5/4}*4^{1/4})/4^{1/2}]^{1/2}=[/tex][tex](4^{5/4+1/4-2/4})}^{1/2}=[/tex][tex](4^1)^{1/2}=[/tex][tex]2[/tex]

Related Questions

Solve the inequality 10y−3(y+2)>2y+4, and write the solution in interval notation.

Answers

Step-by-step explanation:

10y - 3(y + 2) > 2y + 4

10y - 3y - 6 > 2y + 4

(10 - 3 - 2)y > 4 + 6

5y > 10

y > 10/5

y > 2

[tex] \: [/tex]

Solution → y > 2

Interval Notation → [tex] \lang 2 , \infty\rang[/tex]

The solution in interval notation is: (2, ∞)

To solve the inequality 10y - 3(y + 2) > 2y + 4, follow these steps:

Step 1: Distribute the -3 on the left side of the inequality:

10y - 3y - 6 > 2y + 4

Step 2: Combine like terms:

(10y - 3y) - 6 > 2y + 4

7y - 6 > 2y + 4

Step 3: Get all the y terms on one side by subtracting 2y from both sides of the inequality:

7y - 2y - 6 > 2y - 2y + 4

5y - 6 > 4

Step 4: Get the constant term on the other side by adding 6 to both sides of the inequality:

5y - 6 + 6 > 4 + 6

5y > 10

Step 5: Finally, solve for y by dividing both sides by 5:

y > 10/5

y > 2

The solution to the inequality is y > 2. Now, let's write it in interval notation.

To know more about interval:

https://brainly.com/question/29126055

#SPJ2

Pleased help math experts urgent

Answers

Answer:

1. get closer to 0

2. symmetrical across y=-x

3. x cannot be equal to 0

4. decreasing if x<0, increasing if x>0

Step-by-step explanation:

yes

Please help me with this question. What formula would you use to find the missing lengths of the right triangles?

Answers

a2 + b2 = c2 can be use to find missing lengths of the right triangles

4e+ g2- Зе – 9 – g help​

Answers

Answer:   e + g2 - g - 9

Step-by-step explanation:

3x-1 over 5 = x+1 over 3

I need asap

Answers

Answer:

(3x-1)/5= (x+1)/3

3(3x-1)=5(x+1)

then solve which the final answer will give you x=8

Membership at the YMCA costs $15 per month plus $80 to sign-up. Blink costs $29 per month but is free
to sign-up. After how many months will the two gyms cost the same amount?

Answers

Let months be x

[tex]\\ \sf\longmapsto 80+15x=29x[/tex]

[tex]\\ \sf\longmapsto 29x-15x=80[/tex]

[tex]\\ \sf\longmapsto 14x=80[/tex]

[tex]\\ \sf\longmapsto x\approx 6months[/tex]

Answer:

43  months in ymca including the $80 sign up fee is equal to 25 months in blink

Step-by-step explanation:

$725 divided by $29 =25 months

$ 725 - $80 sign up = $645 .

Now we divide this by $15.

$645 divided by 15= 43 months

3 + 2 + (-8) -5 - 9 + 1 (-6) + 3 + 20

Answers

Answer:

0

Step-by-step explanation:

I need to know that answer please help if you can

Answers

Answer:

$180

Step-by-step explanation:

y = 30x +150

30(1) + 150

= 180

The lcm of 5^3 and 5^2 is?

Answers

Answer:

Step-by-step explanation:

5³ is the answer since it's the greater between the two numbers

Answer:

125

Step-by-step explanation:

This is because 5^2 *5 is 125 and 5^3 * 1 = 125   and the findings are both numbers have to be multiplied by a whole number to quantify a same identical multiple total number - we can check this by dividing by the smallest 125/5^2  = 5  and then the largest is 125/5^3 = 1 and we know there could not be a smaller whole number  - The other workings would be to do a prim e factor tree   of 125  =  5  25  5 and 5 =  5^3 and here we are told 5^3 is a multiple of 125 and 5^2 is also a multiple of 5^3 as it square fits 5 times into 125 as 5*25 is 125  

Angle ABC And BCA a are complementary angle ABC is 85° if angle BCA is named as 3b -7 what could be the value of b?

Answers

Complementary angles add to 90 degrees

Therefore,

angle ABC + angle BCA = 90

But, angle BCA = 3b - 7

and angle ABC = 85

Therefore,

85 + 3b - 7 = 90

3b - 7 = 5

3b = 12

b = 4

*What is the correct value of b?
~50/100 = b/28
-b=14
-b=20
-b=10
*What is the value of n?
~25/100 = 7/n
-n=28
-n=24
-n=32

Answers

Answer:

-b = 14

-n = 28

Step-by-step explanation:

For b

50/100=b/28 cross-multiply

1400= 100b divide both sides by hundred

-b = 14

For n

25/100= 7/n cross multiply

25n = 700 divide both sides by 25

-n = 28

Third question please need help

Answers

Answer:

add 6 time 8 and get the answer like that.

Step-by-step explanation:

just keep adding that what you need to do ok.

solve the equation and justify each step using the algebraic properties of equality

Answers

Answer:

-5

Step-by-step explanation:

3x=-13-2

3x=-15

x=-5

This graph shows a system of equations what is the solution to the system of equations 1.(-2,2) 2.(2,2) 3.(2,-2) 4.(-2,-2)

Answers

Answer:

I honestly don't know that fashoo

state whether slope will be positive, negative, or zero.
(-2,3) (-1,-3)

Answers

Answer:

the Slope is 0 because the x value is going up as the y stays the same

Brainliest please

Slope would be negative

This diagram shows a pre image triangle ABC and its image triangle A'B'C.,after a series of transformations. Select from the drop down menu to correctly complete the transformations. NEED HELP ASAP!!!!​

Answers

Answer:

First blank: translated

Second blank: Reflected across the x axis

Third blank: Rigid (if that's an answer choice)

Fourth blank: congruent

Step-by-step explanation:

Could anybody help me out with this?
I would really appreciate it! (Algebra Problem)​

Answers

Answer:

44

Step-by-step explanation:

You substitute 9 for x and then work it out following the order of operations.

f(9) = | 1-5(9) |

     = | 1-45 |

     = | -44 |

     = 44

Answer: 44

Step-by-step explanation:

Michael paid an entrance fee of $8 plus an additional $2.25 per game at the bowling alley. He spent $50.00. Write and solve an equation to determine how many games Michael played.

Answers

Answer:

4

Step-by-step explanation:

$8.00+$2.25 = $10.25

$50.00÷$10.25= 4.

The question is in the image! Please answer quickly.

Answers

Answer:

She thought the multiplication symbol was the addition symbol

actual answer: 1.39 x 10^12

Step-by-step explanation:

If it was addition, then she’d be correct;

6.75x10^6 + 0.2x10^6

= (6.75 + 0.2)x10^6

= 6.95x10^6

But really, it was a multiplication, meaning the answer really is;

(6.95x10^6)x(0.2x10^6)

= 1.39 x 10^12

(b) Notice that x=0.5 meter when θ = 45o. By approximately how many radians should you increase θ if you want the x coordinate of the point R to decrease to x = 0.45 meters? Use the tangent line approximation.

Answers

The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

Based on the statement we construct the geometric diagram, by definition of tangent we have expressions for the initial and final angles ([tex]\theta_{1}[/tex], [tex]\theta_{2}[/tex]), in radians, of the figure:

Initial triangle

[tex]\tan \theta_{1} = \frac{y_{1}}{x_{1}}[/tex] (1)

Final triangle

[tex]\tan \theta_{2} = \frac{y_{2}}{x_{2}}[/tex] (2)

By using (2), the equivalence [tex]\theta_{2} = \theta_{1}+\Delta \theta[/tex] and trigonometric identities we have the following expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\tan \theta_{1}+\tan \theta_{2}}{1-\tan \theta_{1}\cdot \tan \theta_{2}}[/tex] (3)

By (1), we simplify the expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}} + \tan \Delta \theta}{1-\frac{y_{1}}{x_{1}}\cdot \tan \Delta \theta}[/tex] (3b)

If [tex]0 \le \Delta \theta \le \frac{\pi}{6}[/tex], then we can use the following approximation:

[tex]\tan \Delta\theta \approx \Delta \theta[/tex] (4)

Then, we reduce (3b) into an entirely algebraic expression:

[tex]\frac{y_{2}}{x_{2}} = \frac{\frac{y_{1}}{x_{1}}+\Delta \theta }{1-\frac{y_{1}}{x_{1}}\cdot \Delta \theta }[/tex] (3c)

Where [tex]y_{2} = \sqrt{r^{2}-x_{2}^{2}}[/tex].

Now we clear [tex]\Delta \theta[/tex] within the formula:

[tex]\Delta \theta = \frac{\frac{y_{2}}{x_{2}}-\frac{y_{1}}{x_{1}}}{\frac{y_{1}}{x_{1}}\cdot \left(1+\frac{y_{2}}{x_{2}} \right) }[/tex]  (5)

If we know that [tex]x_{1} = y_{1} = 0.5[/tex], [tex]r = 0.707[/tex] and [tex]x_{2} = 0.45[/tex], then we estimate the angle change:

[tex]y_{2} = \sqrt{0.707^{2}-0.45^{2}}[/tex]

[tex]y_{2} \approx 0.545[/tex]

[tex]\Delta \theta = \frac{\frac{0.545}{0.45}-1 }{1\cdot \left(1+\frac{0.545}{0.45} \right)}[/tex]

[tex]\Delta \theta = 0.095[/tex]

As [tex]\Delta \theta < \frac{\pi}{6}[/tex], then the result seems to be reasonable. The angle is increased in approximately 0.095 radians (5.443°) for [tex]x = 0.45\,m[/tex].

We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845

Find the critical value zα/2 that corresponds to a 83% confidence level

Answers

The critical value zα/2 that corresponds to a 83% confidence level is 1.37.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that the confidence level (C) = 83% = 0.83

α = 1 - C = 0.17

α/2 = 0.17/2 = 0.085

The z score of α/2 corresponds with the z score of 0.415 (0.5 - 0.085) which is equal to 1.37

Find out more at: https://brainly.com/question/15016913

Log2(x-1)+Log2(x+2) =2
Find X

Answers

X is 2.82 rounded off :)

PLS HELP WITH ALGEBRA TWO

Answers

Answer:

Answers in Explanation

Step-by-step explanation:

8x^3 + 2x^2 - 20x - 5

(8x^3 + 2x^2) + (-20x - 5)

2x^2 (4x + 1) + (-5) (4x+1)

(2x^2 - 5) (4x + 1)

Refer to the map shown in exercise.2. If m.angle 1 os 64° what is the measure of angle.2?

Answers

post the map
we need to see α photo in order to answer the question.

Answer:180

Step-by-step explanation:

I’m in 7th grade and don’t know this. Dndjdjdjdjsnnsndxj

Answers

Answer:

Step-by-step explanation:

Let's go:

Right: have an angle measuring 90°.

Equilateral: all 3 sides of triangle are same value.

Obtuse: have an angle measuring > 90°

Scalene: all 3 sides of triangle are different value.

In this case:

The Green one is Scalene and obtuse.

The red one is equilateral.

I hope I've helped you.

Green- obtuse( angle above 90°)
Red- equilateral(all angles are the same

A school carnival sold 24 early-admission tickets and 72 regular tickets. What percentage of the tickets sold were early-admission tickets? Write your answer using a percent sign (%).

Answers

Answer:

25%

Step-by-step explanation:

add both kinds of tickets first to get the total

24 early admission + 72 regular = 96 total tickets

then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent

[tex]\frac{24}{96} = 0.25 * 100 = 25[/tex]%

Craig has a job waiting tables where he earns $3.45 per hour plus tips. Craig earned $73.68 in tips during his shift yesterday.

If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
A. y = 3.45x - 73.68
B. y = 73.68x + 3.45
C. y = 3.45x + 73.68
D. y = 73.68x - 3.45

Answers

C is the right answer

Jack bought a 1/4 pound of salami and 1 2/3 pounds of Ham at the deli. Both items are on sale for $12 per pound. What is the total cost?

Answers

Answer:

Salami: $3.00

Ham: $ 8.00

Step-by-step explanation:

12 * 1/4 = 12/4 = $3.00

12 * 2/3 = 24/3 = $8.00

pls help with this pls​

Answers

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

Which of the following is not a solution of the equation below (3x(x-1)(x-2)=0

Answers

What is the options?

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