Find the 12th term of the given explicit geometric formula.<br> f(n) =3(2)^ n-1

Can anyone help me with this please! I don’t know what to do

NeX [460]

50 out of 100 is half of the class; half of the circle will represent students going to college. 25 is a quarter of the class; a quarter of the circle will represent students not going to college. 25 is a quarter of the class; a quarter of the circle will represent students undecided about going to college.

The circle graph should look something like this:

3 0

3 years ago

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along

mina [271]

Answer:

The tip of the man shadow moves at the rate of $\frac{20}{3} ft.sec$

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

$\frac{y - x}{y} = \frac{6}{15}$

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = $\frac{15x}{9\\} y = \frac{5x}{3}$

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

$\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt}$ ----(1)

We are given $\frac{dx}{dt} = 4 ft/sec$ . Plug in the equation (1), we get

$\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec$

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0

3 years ago

Lisa uses her hair dryer daily dryer uses 1500 watts. it take 10 mintes to dry her hair each time she uses it. how much would it

Volgvan

Answer:

Step-by-step explanation:

The answer is $11.55 for the week.

1) Since 1 watt is 0.001 kilowatts, 1500 watts is 1.5 kilowatts.

2) Multiply that by 7 for the week and that equals 10.5.

3) It takes her 10 minutes each day, so it takes 70 minutes per week, that is also 1.1 hours.

4) Multiply 10.5 kilowatts by 1.1 hours and you get 11.55.

5) The answer is $11.55 per week to dry Lisa's hair.

3 0

3 years ago

Handsome jack is buying a pony mad of diamonds. The price of the pony is p dollars and jack also has pay 25% diamond pony tax. H

Leona [35]

Answer:

5/4 P dollars

Step-by-step explanation:

Given that,

price of pony = P

Tax which is to added in the total price of pony = 25% of pony price

so, now total price of pony including its tax = P + 25%P

= P + 25/100 P

= P + 1/4 P

= 5/4 P dollars

= 1.25 P dollars

5 0

3 years ago

Read 2 more answers

Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

3 years ago

Find the 12th term of the given explicit geometric formula. f(n) =3(2)^ n-1