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const2013 [10]
3 years ago
6

What is the surface area of the cylinder with height 7 ft and radius 3 ft? Round your answer to the nearest thousandth.​

Mathematics
1 answer:
Vlada [557]3 years ago
3 0
Area = 2 π r 2 + 2 π r h
where:
π is Pi, approximately 3.142
r is the radius of the cylinder
h height of the cylinder
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Grains of sand are very small, there being about 3000 grains in one cubic centimeter (cm3) of sand. A cm3 is a small cube measur
Anastasy [175]

Answer:

The value is x =  3.000 * 10^9 \  grains

Step-by-step explanation:

From the question we are told that

      1m^3 = 10^6 cm^3

And that

     3000 \  grains \ of \  sand  \  is  \ in \  1cm^3

So the number of sand grain that is in 1m^3 is mathematically evaluated as

      x =  3000 * 10^6 \  grains

=>  x =  3.000 * 10^9 \  grains

4 0
3 years ago
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
vesna_86 [32]
First you distribute the 3
(3x-12) (x+5)=0
then you set each equation equal to zero
3x-12=0 & x+5=0
then you solve for x
x =4, -5
7 0
3 years ago
Read 2 more answers
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
3 years ago
Given the formula for an arithmetic sequence f(7) = f(6) + 4 written using a recursive formula, write the sequence using an arit
natita [175]

Answer:

Of(7) = f(1) + 24

Step-by-step explanation:

Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

\left.\begin{matrix}n &1&2&3&4&5&6 &7\\f(n)&2&6&10 & 14&18&22&26 \end{matrix}\right|\\f(n)=f(n-1)+d\:\: (Recursive \: Formula)\Rightarrow a_{n}=a_{n-1}+4\: \: \: (Arithmetic\: Formula)\\Of(7)=f(1)+6*4\Rightarrow a_{7}=a_{1}+(7-1)4\Rightarrow a_{7}=a_{1}+24\\

6 0
3 years ago
Read 2 more answers
What is the center of the circle for this equation:<br> (x - 10)² + (y - 10)² = 25
Nastasia [14]

Answer:

Step-by-step explanation:

center: (-2,3)

Radius: 5

3 0
3 years ago
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