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2 years ago

Use the formula to evaluate the senes 6 + 2 +2/3+2/9....

Mathematics

1 answer:

Kazeer [188]2 years ago

6 0

Answer:

Step-by-step explanation:

a=6

r=2/6=1/3<1

$S_{\infty}=a/(1-r)=6/(1/3)=6*3=18$

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Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe

adoni [48]

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be f and g two functions, there is a composition of f with respect to g when the domain of f is equal to the range of g. In this question, the domain variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two true statements:

When the function is composed with r, the composite function is V(t) = (1/48) · π · t⁶.
V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

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7 0

1 year ago

X:y=5:3 and x+y=56 work out he value of x-y

Alex

Answer:14

Step-by-step explanation:

x+y=56

x:y=5:3

Sum of ratio=5+3

Sum of ratio=8

x=5/8x56

x=(5x56) ➗ 8

x=280 ➗ 8

x=35

y=3/8x56

y=(3x56) ➗ 8

y=168 ➗ 8

y=21

x-y

35-21=14

x-y=14

3 0

3 years ago

Read 2 more answers

The table below shows the numbers of tickets sold at a movie theater on Friday.

prisoha [69]

Answer:

Number of Adult's tickets sold on Saturday = 3,356

Number of Children's tickets sold on Saturday = 2, 928

Total number of tickets sold over these two days is 8,938.

Step-by-step explanation:

Here, the number of tickets sold on FRIDAY:

Adult Ticket sold = 1,678

Children's Tickets sold = 976

So, the total number of tickets sold on Friday

= Sum of ( Adult + Children's ) tickets = 1,678 + 976 = 2,654 .... (1)

The number of tickets sold on SATURDAY:

Adult Ticket sold = 2 times the number of adult tickets sold on Friday

= 1,678 x 2 = 3,356

Children's Tickets sold = 3 x the number of children's tickets sold on Friday.

= 976 x 3 = 2, 928

So, the total number of tickets sold on Saturday

= Sum of ( Adult + Children's ) tickets = 3,356 + 2,928 = 6, 284 .... (2)

Now, the total number of tickets booked in these two days :

Sum of tickets booked on (Friday + Saturday)

= 2,654 + 6, 284 = 8,938

Hence, total number of tickets sold over these two days is 8,938.

6 0

3 years ago

Find the point on the plane nearest to g 2x+5y+z=10 that is nearest (2,0,1)

mash [69]

A bc it makes the most sence

6 0

3 years ago

P - 4= -9+ p Whats the answer

Alla [95]

Answer:

i need the answer also

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers