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3 years ago

Which expression is equivalent to 25^1/3 * 25^1/6?

1 answer:

3 0

Option C: 5
The bases are the same, so add the exponents
1/3 + 1/6 = 1/2
1/2 power is the same as the square root.
25^1/2 = 5

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Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

-9 - (18v - 5) = 2(7v - 16) - 3v

andrezito [222]

Answer:

v = 28/29

Step-by-step explanation:

- 9 - (18v - 5) = 2(7v - 16) - 3v

- 9 - 18v + 5 = 14v - 32 - 3v

- 18v - 14v + 3v = - 32 - 5 + 9

- 29v = - 28

v = -28 / -29

v = 28/29

6 0

3 years ago

What’s the system of y=x-4 and y=4x-10?

Natasha_Volkova [10]

Answer:

That is the system.

y = x - 4

y = 4x - 10

If you are looking for the solution then use the method of substitution or the method of elimination.

4 0

3 years ago

Read 2 more answers

Let A = Andrea's age, Find expressions for the following

Shalnov [3]

Answer:

b = 2a - 2

Step-by-step explanation:

Turn the words into an algebraic expressions. so Andrea's (b) is (=) two years less (-2) than (flips the expression so place this first ->) twice (times 2) her age (a) So b = 2a -2

5 0

3 years ago

A wedding ring is dropped from a tall building, the distance it has fallen in feet is given by 16t^2, where t is the time in sec

natka813 [3]

Answer:

Step-by-step explanation:

As given, the diatance at any point after t seconds is given by

s(t)=16t²

At t=2 seconds then

s(2)=16*2²=16*4=64

Since we're not given the units, it may be feet, inches, meters, kilometers, miles etc. Therefore, the diatance is equal to 64 units

7 0

3 years ago