What is f(3) for the function f(x)=6x+5?

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

6 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shap

gayaneshka [121]

Answer:

0.13 ft/min

Step-by-step explanation:

We are given that

$\frac{dV}{dt}=15ft^3/min$

We have to find the increasing rate of change of height of pile when the pile is 12 ft high.

Let d be the diameter of pile

Height of pile=h

d=h

Radius of pile,r= $\frac{d}{2}=\frac{h}{2}$

Volume of pile= $\frac{1}{3}\pi r^2 h=\frac{1}{12}\pi h^3$

$\frac{dV}{dt}=\frac{1}{4}\pi h^2\frac{dh}{dt}$

h=12 ft

Substitute the values

$15=\frac{1}{4}\pi(12)^2\frac{dh}{dt}$

$\frac{dh}{dt}=\frac{15\times 4}{\pi(12)^2}$

$\frac{dh}{dt}=0.13ft/min$

7 0

3 years ago

Help, please!!! question in picture

lutik1710 [3]

Answer:

20 m^2

Step-by-step explanation:

First multiply the parallelogram part: 3 x 5 = 15

Then multiply the triangle part: (2 x 5)/2 =5

Then add: 15 + 5 = 20

Good Luck!

4 0

3 years ago

A rectangular prism has a length, width, and height of 2/3 inch, 3/5 inch, and 4/7 inch, respectively. The volume of the rectang

monitta

Answer: 8/35 is the exact answer as a fraction; approximately that is equal to 0.22857 (rounded to 5 decimal places)

Work Shown:

The volume of this prism is equal to the length times width times height. We multiply the three fractions out. To do this, multiply straight across. The numerators group up and multiply. The denominators form a separate group to multiply.

Multiply the numbers up top (numerators): 2*3*4 = 6*4 = 24

Multiply the numbers in the bottom (denominators): 3*5*7 = 15*7 = 105

We end up with 24/105. We can divide both numbers by 3 to reduce the fraction (note how 3 is a factor of each multiplication above)

24/3 = 8

105/3 = 35

So that's how I got 8/35

If you want to convert to decimal form, then 8/35 = 0.22857 approximately.

4 0

3 years ago

Read 2 more answers

Mr. Chan places $4000 in a bank as a fixed deposit for 2 years. The bank offers an interest compounded yearly. At the end of 2 y

serious [3.7K]

Answer:

Step-by-step explanation:

Mr. Chan originally placed 4,000 in the bank as a fixed deposit for 2 years.

Each years the bank added a certain amount of interest.

At the end of the 2 years he gained 243 dollars and 60 cents just from interest.

How to solve:

Simply take away the 4 in the amount of money

Leaving: $243.60

( 2 years )

Now divide 243.60 by 1/2

which is 121.8

Mr.Chan got 121.8 worth of interest a year

$10.5 a month

$2.3 a week

6 cents a day

All in 2 years.

3 0

3 years ago