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What is each expression written using each base only once? 8 ^ 8 x 8 ^ 4

lys-0071 [83]

The answeer is B 8 ^ 32 My older sis helped me on this one

3 0

2 years ago

1. A plane is flying at an altitude of 13000 feet. The angle of depression from the plane to a control tower is 20 degrees. The

Mariulka [41]

Answer:

see explanation

Step-by-step explanation:

There is a right triangle formed between the height above the tower to the plane, the horizontal and the line from the tower to the plane.

The height above the tower to the plane = 13000 - 150 = 12850 ft

The angle between the plane and the tower is 20° , angle of depression.

Using the tangent ratio in the right triangle formed, with the adjacent side being the horizontal ( hor ) distance, then

tan20° = $\frac{opposite}{adjacent}$ = $\frac{12850}{hor}$ ( multiply both sides by hor)

hor × tan20° = 12850 ( divide both sides by tan20° )

hor = $\frac{12850}{tan20}$ ≈ 35305 ft ( to the nearest foot )

(2)

Arianna is 60 + 5 = 65 ft above the ground ( to her eye level )

Using the right triangle formed with legs 65 and 37 and angle of depression x, then

tanx° = $\frac{opposite}{adjacent}$ = $\frac{37}{65}$ , thus

x = $tan^{-1}$ ( $\frac{37}{65}$ ) ≈ 30° ( to the nearest degree )

4 0

3 years ago

Read 2 more answers

Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x

zvonat [6]

The general formula for exponential growth and decays is:

$y=y_0e^{kx}$

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

$y=\frac{1}{4}(\frac{1}{e})^{-2x}$

can be wrtten as:

$\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}$

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

$y=(\frac{1}{e})^{4x}$

can be written as:

$\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}$

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

$y=2e^{-x}+1$

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0

11 months ago

Simplify. -3x = 50<br> a. -150<br> b. 150<br> c. 16 2/3<br> d. -16 2/3

Sedbober [7]

Answer:

$\large\boxed{d.\ -16\dfrac{2}{3}}$

Step-by-step explanation:

$-3x=50\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3x}{-3}=\dfrac{50}{-3}\\\\x=-16\dfrac{2}{3}$

7 0

2 years ago

1/3 of the guests chose beef

mario62 [17]

Find the common denominator of 3 and 12 which would be 12.
Then we add the 2 fractions together to get 9/12.
Now we know that 9/12 of the guests chose chicken and beef.
We also know that 69 guests is equivalent to 3/12 which can be simplified down to get 1/4.
So now we can do 69x4 to get 4/4 which is also 12/12, the amount of guests .
69x4 is 276
Your final should be 276.

3 0

3 years ago