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
svet-max [94.6K]
3 years ago
7

One ordered pair (a,b) satisfies the two equations ab^4 = 384 and a^2 b^5 = 4608. What is the value of a in this ordered pair?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer: a = 3∛2

<u>Step-by-step explanation:</u>

ab⁴ = 384     --> a = 384/b⁴

Substitute a = 384/b⁴ into the second equation to solve for "b".

   a²b⁵ = 4608

\bigg(\dfrac{384}{b^4}\bigg)^2\cdot b^5=4608\\\\\\\dfrac{147,456b^5}{b^8}=4608\\\\\\\dfrac{147,456}{b^3}=4608\\\\\\\dfrac{147,456}{4608}=b^3\\\\\\32=b^3\\\\\\\sqrt[3]{32} =b\\\\\\2\sqrt[3]{4} =b

Substitute b = 2∛4 into the first equation to solve for "a".

ab⁴ = 384

a(2∛4)⁴ = 384

        a  = 384/(2∛4)⁴

        a = 24/4∛4

           = 6/∛4

           = 6(∛2)/2

           = 3∛2

You might be interested in
Classify the object with the given side lengths as acute, obtuse, right, or not a triangle.
iren [92.7K]

Answer:

We have to first see that the given lengths makes a triangle or not by using a+b > c in which a,b and c are

length of sides of a triangle lets check out

16 + 21 = 37 > 28

21 + 28 = 49 > 16

16+ 28 = 44 > 21

As because the statement fits correct in the lengths given so its a triangle

So we can say that the triangle is scalene by means of measurements

but cant be a right angle as by taking the pythagorean triplet

= a^2 + b ^ 2 = c^2

lets see if a=16, b = 21 and c = 28

So a^2 + b^2

= 256 + 441

= 697

but c^2

= 28^2 = 784

As 441 =/= 784

So The triangle lengths cant be a right angled triangle

So 1/2 of possibility is the traingle acute and 1/2 of the possibilty that the triangle is obtuse

Now you can find the correct triangle on the basis of acute or obtuse angle by drawing with given length of sides of triangle

Hope it helps

7 0
3 years ago
HelPpPppP plEasEeEEeeEeEeEeEeEEEeE
Vika [28.1K]
1. This answer would be C, n^3 + 5
2. This answer would be D, n^3 + 9
3. This answer would be A, 4n - 11
5 0
3 years ago
The area of a parallelogram is 31.5 ft2 and the height is 6.3 ft. What is the length of the base?
just olya [345]
Height x Width = Area
Area divided by height = Width
31.5 divided by 6.3 = 5ft
3 0
4 years ago
Read 2 more answers
If the total bear population was 2,008 Bears in May 2002 estimate the number of total bear counted in 2002 to complete the chart
Sergio039 [100]
The estimate of bears will be 2,008.
3 0
4 years ago
The following dotplot shows the number of strokes taken by 20 professional golfers competing at an 18-hole golf course.B? or E?
Savatey [412]

Answer:

Continuous

Step-by-step explanation:

The numbers do not follow a pattern In golf in order for them to be Categorical they must follow a pattern in which the numbers follow the same path or course these numbers do not.

4 0
4 years ago
Read 2 more answers
Other questions:
  • RATIONAL EQUATIONS CAN ANYBODY HELP? need asap ):
    12·1 answer
  • Bob takes the subway to work and uses an escalator at the railway station. If Bob runs up 8 steps of the escalator, then it take
    12·1 answer
  • when taking the square root from both sides of the equation,how many solutions will the equation have
    10·1 answer
  • Please help!! Brainliest for correct answer!!!
    5·1 answer
  • liang enlarged a photograph to 1 3/4 times its original size the original photograph was 5 inches wide what was the width of the
    6·1 answer
  • Equation: -3 + 2x = 11
    6·2 answers
  • Two rectangles with the same side length are always congruent
    7·1 answer
  • How many terms dose 4x + 8y -1
    14·2 answers
  • What is the description of the pattern in the sequence?
    11·2 answers
  • n music, a quaver is one-eighth of a semibreve (whole note). What fraction of a semibreve is a hemidemisemiquaver? (Hint: hemi-,
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!