All categories

3 years ago

2^3 · 2^3 · 2^−4 simplified

1 answer:

7 0

When multiplying like bases with different exponents, such as x^y*x^z, you add the exponents, so the x^y*x^z would equal x^(y+z). In your case, your $2^3*2^3*2^{-4}=2^{3+3+(-4)}=2^{3+3-4}=2^{6-4}=2^2=4$ .

You might be interested in

Graph the quadratic function f(x)= -2x^2 + 6x - 2

inn [45]

The answer is........

5 0

3 years ago

Read 2 more answers

If you move 50 meters in 10 seconds, what is your speed (rate)

muminat

Speed is a calculation of distance over time.

So, if we divide our distance, by our time, we will get speed.

$50 \divide 10 = x\\x = 5$

The speed is 5 meters per second

or 5 m/s (Just a different way of expressing the units)

3 0

3 years ago

Read 2 more answers

1/3+2/5. Please help me

rodikova [14]

Answer:

11/15

Step-by-step explanation:

(1 × 5) + (2 × 3)

over

3 × 5

= 11/15

8 0

3 years ago

Calculate the product using partial products:

Archy [21]

A. 400*45.2=400*45+400*0.2=18000+80=18080
B. 14.9*100=15*100-0.1*100=1500-1=1490
C. 76.2*200=76*200+0.2*200=15200+4=15204

5 0

3 years ago

Write a correct equation for the function whose graph is shown.

Rom4ik [11]

Answer:

$\displaystyle y=-2sin(6t)$

Step-by-step explanation:

<u>Sinusoid</u>

The shape of a sinusoid is well-know because it describes a curve with a smooth and periodic oscillation. The sine and cosine are the two trigonometric functions in which the graph matches the description of a sinusoid. The sine can be identified because its value is zero at time zero.

The graph shown in the figure corresponds to a sine. The other characteristics of the sine function are

* It completes a cycle in $2\pi$ radians

* It has a maximum of 1 and a minimum of -1

* It's increasing for a quarter of the cycle, decreasing for half of the cycle, and increasing for the remaining quarter of the cycle

* The equation is

$y=Asin(wt)$

The function starts decreasing for the first quarter, which only is possible if the amplitude A is negative. We can also see the maximum and minimum values are 2 and -2 respectively. This means the amplitude is A=-2

We can also see the function completes 3 cycles in $t=\pi$ radians or 6 cycles in $2\pi$ radians. Or, equivalently

$wt=12\pi$

$w(2\pi)=12\pi$

$\displaystyle w=\frac{12}{2}=6\ rad/sec$

Thus, the function can be expressed as

$\boxed{\displaystyle y=-2sin(6t)}$

6 0

3 years ago