A sphere has a volume of 1,436.03m^3, what is the approximate length of its radius?

Mathematics

2 answers:

erma4kov [3.2K]3 years ago

5 0

Answer:

B. 7.0 m

Step-by-step explanation:

steps are in the pic above

Alisiya [41]3 years ago

4 0

Answer:

B,7

Step-by-step explanation:

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Middletown sponsors a two day conference for selected middle school students to study government. Suppose 20 student delegates w

grandymaker [24]

Answer:

North Middle School = 10 students
Central Middle School = 6 students
South Middle School = 4 students

Step-by-step explanation:

First calculate the total number of students in all the schools:

= 618 + 378 + 204

= 1,200 students

Use this number to calculate the proportion of the total population that a school so that this can then be used to determine the proportion of the 20 delegates they should sent.

North Middle school:

= 618/1,200 * 20

= 10 students

Central Middle School:

= 378 / 1,200 * 20

= 6 students

South Middle School:

= 204/1,200 * 20

= 4 students

5 0

2 years ago

The height of a tree in feet over x years is modeled by the function f(x). f(x)=301+29e−0.5x which statements are true about the

Karo-lina-s [1.5K]

Given this equation:

$f(x)=301+29^{-0.5x}$

That represents the height of a tree in feet over (x) years. Let's analyze each statement according to figure 1 that shows the graph of this equation.

The tree's maximum height is limited to 30 ft.

As shown in figure below, the tree is not limited, so this statement is false.

The tree is initially 2 ft tall

The tree was planted in x = 0, so evaluating the function for this value, we have:

 $f(0)=301+29^{-0.5(0)}=301+1=302ft$

So, the tree is initially $\boxed{302ft}$ tall.

Therefore this statement is false.

Between the 5th and 7th years, the tree grows approximately 7 ft.

if x = 5 then:

 $f(5)=301+29^{-0.5(5)}=301ft$ 

if x = 7 then:

$f(7)=301+29e^{0.5(7)}=301ft$

So, between the 5th and 7th years the height of the tree remains constant
:
$\Delta=f(7)-f(5)=301-301=0ft$

This is also a false statement.

After growing 15 ft, the tree's rate of growth decreases.

It is reasonable to think that the height of this tree finally will be 301ft. Why? well, if x grows without bound, then the term $29^{-\infty}$ approaches zero.

Therefore this statement is also false.

Conclusion: After being planted this tree won't grow.