All categories

4 years ago

What is the value of 3²/3⁴

Mathematics

2 answers:

STALIN [3.7K]4 years ago

8 0

Answer:

3^2= 9 & 3^4= 81 ----) 9/81= .111111111 or .11

denis-greek [22]4 years ago

4 0

Answer:

1/9 or 0.1 repeating

Step-by-step explanation:

3 * 3 = 9

3 * 3 * 3 * 3 = 81

9/81 = 1/9

1 ÷ 9 = 0.1 repeating

You might be interested in

In a class 30 of students, 19 play an instrument and 10 play a sport. There are 8

baherus [9]

Answer:

1/30

Step-by-step explanation: There are 30 students 19 play instr, 10 play spor,

8 who do both. Their is one student that was left out so the answer is 1/30

8 0

3 years ago

The surface area of a cylinder is increasing at a rate of 9 pi square meters per hour. The height of the cylinder is fixed at 3

Alekssandra [29.7K]

Answer:

$9\pi \text{ cubic meters per hour}$

Step-by-step explanation:

Since, the surface area of a cylinder,

$A= 2\pi r^2 + 2\pi rh$ ................(1)

Where,

r = radius,

h = height,

If $A= 36\pi\text{ square meters}, h = 3\text{ meters}$

$36\pi = 2\pi r^2 + 2\pi r(3)$

$18 = r^2 + 3r$

$\implies r^2 + 3r - 18=0$

$r^2 + 6r - 3r - 18 = 0$ ( by middle term splitting )

$r(r+6)-3(r+6)=0$

$(r-3)(r+6)=0$

By zero product property,

r = 3 or r = - 6 ( not possible )

Thus, radius, r = 3 meters,

Now, differentiating equation (1) with respect to t ( time ),

$\frac{dA}{dt}= 4\pi r\frac{dr}{dt} +2\pi(r\frac{dh}{dt} + h\frac{dr}{dt})$

∵ h = constant, ⇒ dh/dt = 0,

$\frac{dA}{dt} = 4\pi r \frac{dr}{dt} +2\pi h \frac{dr}{dt}$

We have, $\frac{dA}{dt}=9\pi\text{ square meters per hour}, r = h = 3\text{ meters}$

$9\pi = 4\pi (3) \frac{dr}{dt}+2\pi (3)\frac{dr}{dt}$

$9\pi = (12\pi + 6\pi )\frac{dr}{dt}$

$9\pi = 18\pi \frac{dr}{dt}$

$\implies \frac{dr}{dt} =\frac{1}{2}\text{ meter per hour}$

Now,

Volume of a cylinder,

$V=\pi r^2 h$

Differentiating w. r. t. t,

$\frac{dV}{dt}=\pi ( r^2 \frac{dh}{dt}+h(2r)\frac{dr}{dt})=\pi ((3)(6) (\frac{1}{2})) = 9\pi \text{ cubic meters per hour}$

6 0

3 years ago

Solve the following system of equations and show all work.<br> y = 2x^2 +9x<br> y = 4x + 25

Genrish500 [490]

Answer:

x = 5/2 thì y = 35 và x = -5 thì y = 5

Step-by-step explanation:

thay y = 4x + 25 vào phương trình y = 2x ^ 2 + 9x ta có:

4x + 25 = 2x ^ 2 + 9x

⇒2x ^ 2 + 5x - 25 = 0

⇒ x = 5/2 và x = -5

thay x = 5/2 vào phương trình y = 4x + 25 ⇒ y = 4*(5/2) + 25 = 35

thay x = -5 vào phương trình y = 4x + 25 ⇒ y = 4*(-5) + 25 = 5

7 0

4 years ago

Factor p^2-q^2-2p+2q

Grace [21]

Not sure of the answer but i know what factors
p ^2 - 2p

p (p-2)

-q^2 +2q

-q (q-2)

so maybe (p-q) (p-2) (q-2)

6 0

3 years ago

Read 2 more answers

Whats 952.80 ↪ hundreds

Kazeer [188]

Answer:

952

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

What is the value of 3²/3⁴​

What is the value of 3²/3⁴