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3 years ago

If p(x)= 2^x, what is the value of p(3) - p(2)?

Mathematics

1 answer:

rjkz [21]3 years ago

4 0

Answer:

Step-by-step explanation:

p(3) = 2³ = 8

p(2) = 2² = 4

8-4 = 4

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Question 5 of 10

Tamiku [17]

D. 22+(-3). Hope this helps.

5 0

3 years ago

Read 2 more answers

The terminal side of an angle θ in standard position passes through the point (3, 1). Calculate the exact values of the six trig

patriot [66]

Answer:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = $\sqrt{x^2+y^2}$

Here it is: $\sqrt{3^2+1^2}$ = $\sqrt{9+1}$ = $\sqrt{10}$

So we have:

x = 3

y = 1

r = $\sqrt{10}$

Now we can calculate all 6 trig, functions:

sin α = $\frac{y}{r}$ = $\frac{1}{\sqrt{10} }$

cos α = $\frac{x}{r}$ = $\frac{3}{\sqrt{10} }$

tan α = $\frac{y}{x}$ = $\frac{1}{3}$

cot α = $\frac{x}{y}$ = $\frac{3}{1}$

sec α = $\frac{r}{x}$ = $\frac{\sqrt{10} }{3}$

csc α = $\frac{r}{y}$ = $\frac{\sqrt{10} }{1}$

6 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

aev [14]

Answer: (B) -625

Step-by-step explanation:

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is $\dfrac{-100}{-500}=\dfrac{1}{5}$

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}$

4 0

4 years ago

Find the missing dimension of the cylinder. Round your answer to the nearest tenth.

vekshin1

Answer:

10ft

Step-by-step explanation:

volume= 502ft³

or, πr²h = 502 ft³

or, h= 502/ (4²π)

or, h= 9.98~10ft

6 0

3 years ago

La distancia de la tierra a Plutón es aproximadamente 5, 751, 800, 000 km. ¿Cuánto tarda en llegar una nave que viaja a 35,000 k

Finger [1]

Answer:

The time it takes for the ship to travel from Earth to Pluto is 164,337 hours.

Step-by-step explanation:

The question is:

The distance from Earth to Pluto is approximately 5,751,800,000 km. How long does it take for a ship traveling at 35,000 km / h?

Solution:

The formula to compute the time (t) it takes to travel a certain distance (d) at a certain speed (s) is:

$t=\frac{d}{s}$

It is provided that:

d = 5,751,800,000 km

s = 35,000 km / h

Compute the time it takes for the ship to travel from Earth to Pluto as follows:

$t=\frac{d}{s}$

$=\frac{5751800000}{35000}\\\\=164337.14286\\\\\approx 164337$

Thus, the time it takes for the ship to travel from Earth to Pluto is 164337 hours.

3 0

4 years ago