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scoray [572]
4 years ago
8

Given that a­­b = x, evaluate the following a^b+2 asked by

Mathematics
1 answer:
GaryK [48]4 years ago
3 0
<h2>Answer:</h2><h2>After evaluating, the expression becomes  \sqrt[a]{a^{x} } + 2</h2>

Step-by-step explanation:

Given that a­­b = x

then b = \frac{x}{a} ... (1)

To evaluate the expression, a^{b} + 2 ... (2)

Substitute eq (1) in eq (2), we get

= a^{\frac{x}{a} } + 2

= a^{(x) (\frac{1}{a}) } + 2

= \sqrt[a]{a^{x} } + 2

After evaluating, the expression becomes  \sqrt[a]{a^{x} } + 2

You might be interested in
(5x2+4xy-7)+(3x2+2xy+3)
Mrac [35]

Answer:

2 ( 4x² + 3xy - 2 )

Step-by-step explanation:

( 5x² + 4xy - 7 ) + ( 3x² + 2xy + 3 )

5x² + 4xy - 7 + 3x² + 2xy + 3

Combine like terms.

5x² + 3x² + 4xy + 2xy - 7 + 3

8x² + 6xy - 4

Factorize the answer.

2 ( 4x² + 3xy - 2 )

8 0
2 years ago
A four digit number (with no repetitions) is to be formed from the set of numbers {0,1,2,3,4,5,6,7}. Find the probability that t
QveST [7]
Even # --------- if it ends with 0, # of ways = 6*5*4 = 120 if not, 3 ways for ending digit, 5 ways for 1st digit, 5*4 for middle digits = 300 
so total ways = 420 
odd # --------- 4 ways of ending digit, 5 ways for 1st digit, 5*4 for middle digits = 400 ways 
< 4000: ---------- 3 ways for starting digit, 6*5*4 ways for remaining digits = 360 ways 
> 3000 & < 4000 ------------------------ 1 way for starting digit , 6*5*4 for remaining digits = 120 ways 
5 0
3 years ago
HELP ME PLZ IM CRYING predict the number of catfish kathy will catch next week if she catches 54 fish
marishachu [46]

Answer:

18

Step-by-step explanation:

Take a breath :) . I've got your back.

If she caught 6 carp + 8 bass + 7 catfish, she caught 6 +8 +7 fish total = 21.

7 of 21 were catfish.

If she catches 54 fish instead of 21, (and we have to assume the ratio stays the same), how many will be catfish?

Ratios are 7:21 and x:54, but we'll write them as fractions:

7/21 = x/54

Then cross multiply:

21x = (54)(7)

21x = 378

divide both sides by 21

x = 18

If she catches 54 fish total, we predict she will catch 18 catfish.

---------------------------------------------

If we go back to the original 7/21, we can reduce that to 1/3. Then ask what is 1/3 of 54? 18.

8 0
3 years ago
Calculate the first and second velocities of the car with three washers attached to the pulley, using the formulas v1 = 0. 25 m
Travka [436]

The first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

Given data:

The value of the first distance is, d1 = 0.25 m.

The value of the second distance is, d2 = 0.50 m.

<h3>What is velocity?</h3>

The ratio of distance covered by an object in a specific direction and the time taken to cover the distance is known as the velocity of the object. Mathematically, the expression for the velocity is,

v = d/t

Here, d is the distance covered.

And t is the average time taken to cover the distance.

Then the first velocity of the car at 0.25 m is,

v1 = d1/t1

v1 = 0.25 / t1

Here, t1 is the average time for the first distance.

And the second velocity of the car with four washers at the 0. 50 m mark is,

v2 = d2/t2

v2 = 0.50 /t2

here, t2 is the average time for the second distance.

Thus, we can conclude that the first and second velocities of the car are 0.25/t1 and 0.50/t2 respectively.

To know more about Velocity click the link given below.

brainly.com/question/25796948?

3 0
3 years ago
How many solutions does this system of equations have?
Phoenix [80]
<h3>Answer: D) infinitely many solutions</h3>

===================================================

Explanation:

Let's solve the first equation for y

4x - 2y = 6

4x-6 = 2y

2y = 4x-6

y = (4x-6)/2

y = (4x/2) - (6/2)

y = 2x - 3

After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3

Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).

Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.

You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.

-------------------------------

Here's another approach using substitution

4x - 2y = 6 ... start with the first equation

4x - 2( y ) = 6

4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3

4x - 2(2x) - 2(-3) = 6

4x - 4x + 6 = 6

0x + 6 = 6

0 + 6 = 6

6 = 6

We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.

Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.

8 0
3 years ago
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