1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ozzi
2 years ago
15

Which expression is equivalent to (StartFraction 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over

4 Superscript one-half baseline EndFraction) Superscript one-half?.
Mathematics
1 answer:
Tpy6a [65]2 years ago
5 0

The expression is equivalent to 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline is,

x=2

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

\left((4^{\dfrac{5}{4}}\times4^{\dfrac{1}{4}}\div 4^{\dfrac{1}{2}} \right)^{\frac{1}{2}}

Let the result of the given expression is <em>x</em>. Rewrite the given expression as,

x=\left(\dfrac{4^{\dfrac{5}{4}}\times4^{\dfrac{1}{4}}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}

When the two number is multiplies with the same base, the powers of the number is added in result. Thus,

x=\left(\dfrac{4^{(\dfrac{5}{4}+\dfrac{1}{4})}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}\\x=\left(\dfrac{4^{(\dfrac{3}{2})}}{4^{\dfrac{1}{2}}} \right)^{\frac{1}{2}}

When the two number is divided with the same base, the powers of the number is subtracted in result. Thus,

x=\left(4^{\dfrac{3}{2}-\dfrac{1}{2}} \right)^{\frac{1}{2}}

x=\left(4^1} \right)^{\frac{1}{2}}\\x=\left(4} \right)^{\frac{1}{2}}\\x=(2^2)^{\dfrac{1}{2}} \\x=2

Thus the expression is equivalent to 4 Superscript five-fourths Baseline time 4 Superscript one-fourth Baseline Over 4 Superscript one-half baseline is,

x=2

Learn more about the equivalent expression here;

brainly.com/question/2972832

You might be interested in
WILL MARK BRAINLIEST
AURORKA [14]

Answer: most likely to be C

Step-by-step explanation:

I can’t see the triangle but I can tell that’s the answer

8 0
3 years ago
Read 2 more answers
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!
Leni [432]

Answer:

At the time of launch height of the object was 60 meters.

Step-by-step explanation:

An object was launched from a platform and its height was modeled by the function,

h(x) = -5x² + 20x + 60

Where x = time or duration after the launch

At the time of launch, x = 0

So, by putting x = 0 in this equation,

h(0) = -5×(0) + 20×(0) + 60

h(0) = 60

Therefore, at the time of launch height of the object was 60 meters.

4 0
3 years ago
Identify the maximum of the graph below. Type your answer by filling in the blanks below
nevsk [136]

Answer:

The maximum point of this function is (5,4).

Step-by-step explanation:

The maximum of a function is the maximum value that it can take.

Seeing the graph we can say that the maximum value of y occurs at x = 4. Here y = 5 corresponds to this value of x.

Therefore, the maximum point of this function is (5,4).

I hope it helps you!

8 0
3 years ago
Find an exact value.
leonid [27]

Answer:

(√2 - √6) / 4

C. square root of two minus square root of six divided by four.

Step-by-step explanation:

sine of negative eleven pi divided by twelve.

We have :

sin(-11π/12)

sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)

sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)

Recall:

Angle difference formula:

sin(A - B) = sinAcosB - sinBcosA

Hence,

sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)

From trigonometry:

sinπ/3 = √3/2

cos5π/4 = -√2/2

sin5π/4 = -√2/2

cos π/3 = 1/2

(√3/2) (-√2/2) − (-√2/2) (1/2)

-√6/4 - -√2/4

-√6/4 + √2/4

√2/4 - √6/4

(√2 - √6) / 4

7 0
3 years ago
I need help with only one question on number 4? anyone pls?
Murljashka [212]
I think 2,-2 is right
4 0
2 years ago
Other questions:
  • 17) Candy brought 30 cookies to a party. List all the ways she can arrange them on a plate in equal rows.
    8·1 answer
  • Math help plsssssssssss
    13·1 answer
  • You are 5 dollars in debt. You borrow 12 dollars more. What is the total amount of your debt?
    9·2 answers
  • Divide. Write the quotient in lowest terms.<br> 2 3/4 divided by 3
    7·1 answer
  • : If the diagram below represents 250, find the value of each
    13·1 answer
  • What is<br> of 1 of 10?<br><br> 5
    7·1 answer
  • -3 &lt; -1, subtract both sides by 3
    10·1 answer
  • PLEASE HELP FOR 30 POINTS....GEOMETRY/TRIG
    14·1 answer
  • WILL MARK BRAINLY what fraction is equal to 0.63 repeating
    8·1 answer
  • 3. A hot air balloon travels 18 miles in 3 hours. At this rate, how many miles will the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!