All categories

3 years ago

What is 1/3 to the power of 2

Mathematics

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

You might be interested in

In the table below, x represents the miles traveled and y represents the cost to travel by train.

Afina-wow [57]

Answer:

Third option

m = 2.25

Step-by-step explanation:

The slope of the function is equal to its rate of change between two points.

For example, for a couple of points $(x_1, y_1),\ (x_2, y_2)$

The slope is:

$m =\frac{y_2-y_1}{x_2-x_1}$

In this problem we have the following points

1.(2, 8.50) , 2. (5, 15.25), 3. (8, 22.00) , 4. (12, 31.00)

We calculate the slope between the first two points

$m =\frac{15.25-8.50}{5-2}=2.25$

We calculate the slope between the points 3 and 4

$m =\frac{31-22}{8-4}=2.25$

We calculate the slope between the points 2 and 3

$m =\frac{22-15.25}{8-5}=2.25$

The slope is always the same. Therefore m is constant and the fution is a line of slope m = 2.25

7 0

3 years ago

Read 2 more answers

Given the relationship x2 + 3y2 =12, with y > 0 and dx, dt = 2 units/min., find the value of dy, dt at the instant y = 1 unit

matrenka [14]

$\bf x^2+3y^2=12\implies \stackrel{chain~rule}{2x\cfrac{dx}{dt}}+3 \stackrel{chain~rule}{\left(2y\cfrac{dy}{dt}\right)}=0
\\\\\\
2x\cfrac{dx}{dt}+6y\cfrac{dy}{dt}=0
\implies 
6y\cfrac{dy}{dt}=-2x\cfrac{dx}{dt}\implies \cfrac{dy}{dt}=\cfrac{-2x\frac{dx}{dt}}{
6y\frac{dy}{dt}}
\\\\\\
\boxed{\cfrac{dy}{dt}=-\cfrac{x\frac{dx}{dt}}{3y}}\\\\
-------------------------------$

$\bf \textit{now, when y = 1, what is \underline{x}?}\qquad x^2+3y^2=12\implies x^2+3(1)^2=12
\\\\\\
x^2=9\implies x=\sqrt{9}\implies x=3\\\\
-------------------------------\\\\
\begin{cases}
y=1\\
x=3\\
\frac{dx}{dt}=2
\end{cases}\implies \cfrac{dy}{dt}=-\cfrac{3\cdot 2}{3\cdot 1}\implies \cfrac{dy}{dt}=-2$

7 0

3 years ago

9. Solve for x: 2x – y = (3/4)x + 6.

AlekseyPX

Answer:

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5

4 0

3 years ago

What theorem can be used to prove that the two triangles are congruent?

hammer [34]

Pythagorean theorem a^2+b^2=c^2

6 0

3 years ago

90 points please help!!!!!!!!

just olya [345]

To model this situation, we are going to use the exponential function: $f(t)=P(1+ \frac{r}{n} )^{nt}$
where
$P$ is the initial number of cars
$r$ is the growing rate in decimal form
$n$ is number of tames the growing rate is increasing per year
$t$ is the time in years

To convert the growing rate to decimal form, we are going to divide the rate by 100%
$r= \frac{12}{100}$
$r=0.12$
Since the growing rate is increasing quarterly, $n=4$ . We also know that the initial number of cars is 920, so $P=920$ . Lets replace all those values in our function:
$f(t)=920(1+ \frac{0.12}{4} )^{4t}$
$f(t)=920(1+0.03)^{4t}$
$f(t)=900(1.03)^{4t}$

We can conclude that:
Rate ---------> The quarterly rate of growth is 0.03 or 3%
Exponent --------> The compound periods multiplied by the number of years is 4t
Coefficient--------> The initial number of cars serviced is 920
Base------> The growth factor is represented by 1.03

3 0

3 years ago

Read 2 more answers

What is 1/3 to the power of 2​

What is 1/3 to the power of 2