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3 years ago

F(2)=20(1.25)^x STEP BY STEP

Mathematics

2 answers:

tatuchka [14]3 years ago

5 0

Answer:

$\displaystyle 31,25$

Step-by-step explanation:

When solving an exponential equation, according to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, you evaluate the exponent BEFORE multiplying:

$\displaystyle 20(1,25)^2 = 20(1,5625) = 31,25$

I am joyous to assist you anytime.

Nezavi [6.7K]3 years ago

4 0

F(2) = 20(1.25)^x

f(2) = 20(1.25)^2 - plug in 2 to x

f(2) = 20(1.5625) - calculate 1.25^2

f(2) = 31.25 - simplify

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Can someone please help

irina1246 [14]

Answer:

134.04 cm³ (rounded to tenths)

Step-by-step explanation:

The radius(r) is 4 cm

The height(h) is 8 cm

Using the equation and plugging in the values, you get

$\frac{\pi *4^{2}*8 }{3} = 134.0412866$

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3 years ago

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NISA [10]

Answer: $\bold{b)\quad \dfrac{2\pi}{3},\dfrac{4\pi}{3},0}$

Step-by-step explanation:

Note the following identities: tan² x = sec²x - 1

$\sec x=\dfrac{1}{\cos}$

tan² x + sec x = 1

(sec² x -1) + sec x = 1

sec² x + sec x - 2 = 0

(sec x + 2)(sec x - 1) = 0

sec x + 2 = 0 sec x - 1 = 0

sec x = -2 sec x = 1

$\dfrac{1}{\cos x}=-2\qquad \dfrac{1}{\cos x}=1\\\\\cos x=-\dfrac{1}{2}\qquad \cos x=1\\\\x=\dfrac{2\pi}{3}, \dfrac{4\pi}{3}\qquad x=0$

8 0

3 years ago

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From a height of 50 meters above sea level on a cliff, two ships are sighted due west. The angles of depression are 61° and 28°.

Olenka [21]

Answer:

The ships are 66 meters apart.

Step-by-step explanation:

For the sake of convenience, let us label ships A and B

As shown in the figure, the distances to the ships from right triangles.

The distance to the ship A is $d_1$ and it is given by

$tan (61^o)= \dfrac{50}{d_1}$

$d_1=\dfrac{50}{tan (61^o)}$

$\boxed{d_1= 27.71m}$

And the distance to the ship B is $d_2$ and is given by

$tan (28^o)= \dfrac{50}{d_2}$

$d_2=\dfrac{50}{tan (28^o)}$

$\boxed{ d_2=94.04m}$

Therefore, the distance $d$ between the ships A and B is

$d= d_2-d_1=94.04-27.7\\\\\boxed{d=66m}$

In other words, the ships are 66 meters apart.

8 0

3 years ago

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Answers choices <1 <4 <2 <3

Maslowich

Answer:

B) 4

Step-by-step explanation:

1. It is either 3 or 4, since those are only two angles comparing the lighthouse and the boat.

2. The angle of depression is noted below the horizontal and above the actual line, and out of 3 and 4, 4 is the only angle that is below its corresponding horizontal.

So, the angle of depression from the lighthouse to the boat is 4.

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3 years ago

Simplify 53 Enter your answer in the box

vesna_86 [32]

Answer:

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Step-by-step explanation:

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