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
motikmotik
3 years ago
6

Could someone help me, please?

Mathematics
1 answer:
k0ka [10]3 years ago
3 0

We can rewrite the expression under the radical as

\dfrac{81}{16}a^8b^{12}c^{16}=\left(\dfrac32a^2b^3c^4\right)^4

then taking the fourth root, we get

\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|

Why the absolute value? It's for the same reason that

\sqrt{x^2}=|x|

since both (-x)^2 and x^2 return the same number x^2, and |x| captures both possibilities. From here, we have

\left|\dfrac32a^2b^3c^4\right|=\left|\dfrac32\right|\left|a^2\right|\left|b^3\right|\left|c^4\right|

The absolute values disappear on all but the b term because all of \dfrac32, a^2 and c^4 are positive, while b^3 could potentially be negative. So we end up with

\dfrac32a^2\left|b^3\right|c^4=\dfrac32a^2|b|^3c^4

You might be interested in
How do i make an equilateral triangle swy with sides 2a units long?
ArbitrLikvidat [17]

Answer:

make it 90 degree

Step-by-step explanation:

5 0
3 years ago
H=10 cm<br>T = 7 cm<br>A. Calculate the volume of the cylinder​
Brut [27]

Answer:

 70cm

Step-by-step explanation:

8 0
2 years ago
I’m confused on this one
dedylja [7]

It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.


So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:


AB^2 + AD^2 = BD^2


AD^2 = BD^2 - AB^2


AD = \sqrt{ BD^2 - AB^2 }


AD = \sqrt{149^2 - 51^2} = \sqrt{19400} = 140


Answer: 140 cm


I don't recall seeing this Pythagorean Triple before.





3 0
3 years ago
Beverage A and Beverage B are sold in identical cans. Beverage A is 4% sugar. The portion of Beverage B that is sugar is 0.21. H
V125BC [204]

Answer:

5.25 times

Step-by-step explanation:

Beverage A and Beverage B are sold in identical cans.

From the above question

Beverage A is 4% sugar.

The portion of Beverage B that is sugar is 0.21.

Converting Portion of sugar in Beverage B to percentage we have :

0.21 × 100

= 21%

How many times more sugar is in Beverage B than Beverage A?

This is calculated as:

% Beverage B/% Beverage A

= 21%/4%

= 5.25

Hence Beverage B has 5.25 times more sugar than Beverage A.

4 0
3 years ago
The freezing point of methanol is -97.6. What is the freezing point of methanol in Fahrenheit
motikmotik

Answer:

-143.68°F

Step-by-step explanation:

Celsius to Fahrenheit Conversion Formula: F = 1.8C + 32

Simply plug in <em>c</em> as -97.6:

F = 1.8(-97.6) + 32

F = -175.68 + 32

F = -143.68

3 0
3 years ago
Read 2 more answers
Other questions:
  • 3. Which list below shows the number of medals that one nation's team won at the Olympics. What is the ratio of gold medals to t
    11·1 answer
  • -4(w+1)=-24<br><br> what does w equal?
    13·2 answers
  • Every other weekend,Bronwyn Brother Danial mows the lawn. He can mow 15,000ft2 in 3/4 hour. who mows the lawn in less time? plea
    11·2 answers
  • What is the least common multiple of 6 cents,18 cents,24 cents
    13·2 answers
  • - 7w - 3(4w + 8) = 11 Solve​
    13·2 answers
  • Which is a common denominator of 1 /4 and 3/ 5<br> Please help
    6·2 answers
  • (1 point) There were 23.7 million licensed drivers in California in 2009 and 22.76 million in 2004. Find a formula for the numbe
    7·1 answer
  • Pls help. I will mark BRAINLIEST ​
    13·1 answer
  • If Ashley had 4 yards of yarn in Ramen had 11 feet of yarn who had more yarn
    6·1 answer
  • A one day visit to Dollywood in Tennessee’s Smoky Mountains cost $56 for an adult and $45 for a child. Find the cost admission f
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!