All categories

1 year ago

What is the best approximate for the volume of cement used to make one of these spheres?

Mathematics

1 answer:

forsale [732]1 year ago

3 0

Since we have that the volume of a sphere is given by:

$V=\frac{3}{4}\pi r^3$

And we have that the diameter equals 3.6ft, we then will have a volume of:

$V=\frac{3}{4}\pi(1.8)^3\Rightarrow V\approx13.74$

Since we have that the volume is approximately 13.74 ft^3, then the best approximation in the problem is A. 13.6 ft^3.

You might be interested in

F. -10x >45 Solve the two step inequality

Daniel [21]

Answer:

x < -4.5

Step-by-step explanation:

Step 1: Solve for x

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer: x < -4.5

4 0

3 years ago

Do you agree with the statement that " cubic functions must have at least 1 x-intercept but not more than 3, whereas quadratic f

vladimir2022 [97]

Answer:

Yes, I agree

Step-by-step explanation:

For the cubic function

A cubic function is represented as:

$f(x)=ax^3+bx^2+cx+d$

A cubic function may have 1, 2 or 3 x intercepts. This is shown below

For 3 x intercepts

$y = x^3 - x$

Equate y to 0

$x^3 - x = 0$

Expand

$x(x^2 - 1) = 0$

Express $x^2 - 1$ as difference of two squares

$x(x - 1)(x +1 ) = 0$

x = 0 or 1 or -1

For 2 x intercepts

$y = x^3 - x$

$y =(x-5)^2)(x+7)$

Equate y to 0

$(x-5)^2(x+7) = 0$

Expand

$(x-5)(x-5)(x+7) = 0$

x= 5 or x = -7

For 1 x intercept

$y = x^3$

Equate y to 0

$x^3 = 0$

Take cube roots of both sides

$x = 0$

It has been shown above that a cubic function may have 1, 2 or 3.

So, I agree to the statement

For the quadratic function

A quadratic function will not have any x intercept when the function can not be factorized;

E.g.

$y = x^2 + x + 17$

The above function has no x intercept.

A quadratic function will have at least 1 x intercept when the function can be factorized;

E.g.

$y = x^2- 6x + 9$

Equate y to 0

$x^2- 6x + 9 = 0$

Expand

$x^2 - 3x - 3x + 9 = 0$

$(x - 3)(x-3) = 0$

$x = 3$

We've shown that a quadratic may have no x intercept, and it may also have x intercept(s)

Hence, I agree to both statement

3 0

2 years ago

Zorion’s mother helped him plan a budget. He had to put half of his money into savings. Whatever was left he split evenly into 3

Anastaziya [24]

Answer:

it's the first one because it is split as the paragraph said it should

7 0

3 years ago

In a recent survey of 1,000 randomly selected registered voters in the town of Armstrong, 803

labwork [276]

Answer:

12,922

Step-by-step explanation:

estimate = 16,092 * 803/1,000 = 12,922

6 0

3 years ago

What is the inverse of the function f(x) = 2x + 1?

Tatiana [17]

We have $y=2x+1$ , to find inverse switch y and x then solve for y.

$x=2y+1 \\ x-1=2y \\ y=\frac{x-1}{2}$ .

Hope this helps.

6 0

2 years ago