All categories

2 years ago

Evaluate: (9/64)^1/2

Mathematics

2 answers:

Zarrin [17]2 years ago

4 0

Answer:

3/8

Step-by-step explanation:

If 1/2 is an exponent, it is essentially taking the square roots of the numbers. When you take the square root of a fraction, you take the roots of both the numerator and denominator.

Anna [14]2 years ago

3 0

Answer:

$\frac{3}{8}$

Step-by-step explanation:

Using the rules of exponents

$(a^m)^{n}$ = $a^{mn}$

$a^{\frac{1}{2} }$ = $\sqrt{a}$

Hence

$\frac{9^{\frac{1}{2} } }{64^{\frac{1}{2} } }$

= $\frac{\sqrt{9} }{\sqrt{64} }$ = $\frac{3}{8}$

You might be interested in

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago

Solve for the variable "a" in this equation. Show work: c=8πab

Contact [7]

C=8πab
Divide both sides by 8πb
c/(8πb) = a

7 0

3 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable X is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, β = 19 minutes.

The random variable X follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of X is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (X > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

2 years ago

PLEASE HELP!

Airida [17]

7 dollars each game and I know that because 10 would be 60 plus 16 which is way over and 5 would be 25 plus 16 which is incorrect 6 would be 30 which adding 16 would be 46. FINALLY ADDING 5 extra which is 7 times which is 35 plus 16 is 51.
Hope this helped
:D

4 0

2 years ago

Help please!!!!!!!!!!!

sergiy2304 [10]

Step-by-step explanation:

bruh did u have hentoi as your pic

6 0

2 years ago