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

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

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

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:

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:

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

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:

(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

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

Answers

Answer:

0

Step-by-step explanation:

4e+ g2- Зе – 9 – g help​

Answers

Answer:   e + g2 - g - 9

Step-by-step explanation:

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

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

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

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

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)

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  

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

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]%

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

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

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

Answers

What is the options?

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

Answers

X is 2.82 rounded off :)

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.

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

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

*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.

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

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

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

pls help with this pls​

Answers

Answer:

1.5 songs/minutes

Step-by-step explanation:

30÷20 = 1.5

Other Questions
plz help i need someone PLS HELP!!! WILL GIVE BRAINLIEST ill give brainlestWhat are three influences that led to the development of amusement parks and theme parks? Evaluate and describe some of the ways that these influences helped shape modern amusement and theme parks. how high is the bank of walden pond? PLEASE HELP ME WITH NUMBER 2: what is the meaning of the word amplify as used in this sentence? Activity in one system can amplify or cancel out activity in another. Convert decimals to fractions Mathematics need help please i beg you Which of the following is not a characteristic of lakes? A) deeper than ponds B) lack of waves C) found in mountainous regions D) larger than ponds E) fed by rivers What are the main advantage of inclusiveness Of the numbers 4, 5, 6, and 7, which is a solution to the inequality t+2 An adventure company that takes divers and tourists on glass-bottomed boat tours of a coral reef ecosystem has noticed changes in the ecosystem in recent years what are the changes and what could be causing them? Plz help I need help A trapezoid has interior angle measures of 90, 90, 75 and ? degrees. Find the measure of angle in the trapezoid. Enter only the number of degrees in the answer box. Angle measures blankdegrees. Find the length of side x in simplest radical form with a rational denominator. Solve 9x + 3y = 15 for y.A. y=-3x + 15B. y = 9x + 15C. y = -9x + 5 D. y=-3x + 5 Write 40% as a fraction The Quran has specific guidelines for all of the following excepta.rules for socializingb.morals to exhibitc.how to worshipd.how many children and wives to have What would y equal in this equation?3 + 4/1y = 5x + 2 PLEDE HELP ME EMERGENCYYYYYY Which statement explains the effect of temperature on the rate of photosynthesis