All categories

3 years ago

Use the function below to find F(3). F(x) = (1/4)^x

Mathematics

2 answers:

Amanda [17]3 years ago

5 0

Answer:

Step-by-step explanation:

F(x) = (1/4)^x F(3)

F(3) = (1/4)^3

F(3) = (1/4)×(1/4)×(1/4)

F(3) = 1/64

riadik2000 [5.3K]3 years ago

4 0

Answer:

The answer is 0.015625

You might be interested in

On the last day of the school book fair, all pencils were one set price and all books were a different set price. Sammy bought 2

Lady bird [3.3K]

Answer:

Book -$20/11 and pencil - $17/11

Step-by-step explanation:

Let the set price of pencil be p and the set price of book be b

Then we have equations:

2p + 6b = 14
4p + 1b = 8

Simplify the first equation:

p + 3b = 7

And substitute p in the second equation: p = 7 - 3b

4(7 - 3b) + b = 8
28 - 12b + b = 8
11b = 20
b = 20/11

And finding value of p:

p = 7 - 3(20/11) = 1/11(77 - 60) = 17/11

3 0

3 years ago

An oil slick is expanding as a circle. The radius of the circle is initially 2 meters and increases at the rate of 21 meters per

bogdanovich [222]

Step-by-step explanation:

Незнаю пожалас та помогеть

4 0

3 years ago

Which of this ones is an example of a probability?

Sidana [21]

Answer:

The answer is C

Step-by-step explanation:

Throwing a dice is an example of probability because a dice has 6 different sides.

8 0

3 years ago

Read 2 more answers

Multiple-Choice Integration, Picture Included, Please Include Work

ValentinkaMS [17]

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx$

Recall that a circle of radius 2 centered at the origin has equation

$x^2+y^2=4\implies y=\pm\sqrt{4-x^2}$

where the positive root gives the top half of the circle in the x-y plane. The definite integral corresponds to the area of the right half of this top half. Since the area of a circle with radius $r$ is $\pi r^2$ , it follows that the area of a quarter-circle would be $\dfrac{\pi r^2}4$ .

You have $r=2$ , so the definite integral is equal to $\dfrac{2^2\pi}4=\pi$ .

Another way to verify this is to actually compute the integral. Let $x=2\sin u$ , so that $\mathrm dx=2\cos u\,\mathrm du$ . Now

$\displaystyle\int_0^2\sqrt{4-x^2}\,\mathrm dx=\int_0^{\pi/2}\sqrt{4-(2\sin u)^2}(2\cos u)\,\mathrm du=4\int_0^{\pi/2}\cos^2u\,\mathrm du$

Recall the half-angle identity for cosine:

$\cos^2u=\dfrac{1+\cos2u}2$

This means the integral is equivalent to

$\displaystyle2\int_0^{\pi/2}(1+\cos 2u)\,\mathrm du=2u+\sin2u\bigg|_{u=0}^{u=\pi/2}=\pi$

4 0

3 years ago

1/2 of 4/5=1/2 of ___ fifth(s) = ___ fifth(s)

barxatty [35]

Answer:

1/2 of 4/5 = 1/2 of four fifths = two fifths

Step-by-step explanation:

1/2 x 4/5 = 4/10

4/10 simplified is 2/5

4 divided by 2 = 2

---- ----

10 divided by 2= 5

3 0

3 years ago

Read 2 more answers