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3 years ago

Describe the patter and find the next two terms of each sequence 5,1,7,0,9,-1,11

Mathematics

1 answer:

Mila [183]3 years ago

6 0

There are two interleaved arithmetic sequences here.

Odd terms are 5, 7, 9, 11, increasing by 2 each time.

Even terms are 1, 0, -1, decreasing by 1 each time.

The next two terms will be -2, 13.

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A spherical exercise ball has a maximum diameter of 30 inches when filled with air. The ball was completely empty at the start,

Alex73 [517]

Answer:

A) A(t) = 4500*π - 1600*t

B) A(4) = 7730 in³

C) t = 8,8 sec

Step-by-step explanation:

The volume of the sphere is:

d max = 30 r max = 15 in

V(s) = (4/3)*π*r³ V(s) = (4/3)*π* (15)³

V(s) = 4500*π

A) Amount of air needed to fill the ball A(t)

A(t) = Total max. volume of the sphere - rate of flux of air * time

A(t) = 4500*π - 1600*t in³

B) After 4 minutes

A(4) = 4500*π - 6400

A(4) = 14130 - 6400

A(4) = 7730 in³

C) A(t) = 4500*π - 1600*t

when A(t) = 0 the ball got its maximum volume then:

4500*π - 1600*t = 0

t = 14130/1600

t = 8,8 sec

8 0

2 years ago

Graph F(x)=32x+2. Please

olga2289 [7]

Answer:

The required graph is shown below:

Step-by-step explanation:

Consider the provided graph $f(x)=32x+2$

The above function is a linear function.

We can draw the graph of the linear function with the help of two points.

Substitute x = 0 in $f(x)=32x+2$

$f(0)=32(0)+2$

$f(0)=2$

Hence, the coordinates are (0,2)

Substitute f(x) = 0 in $f(x)=32x+2$

$0=32x+2$

$32x=-2$

$x=-0.0625$

Hence, the coordinates are (-0.0625,0)

Now join the above points.

The required graph is shown below:

5 0

3 years ago

Read 2 more answers

Joe concluded that the expression 3x + 15 + 2x is equivalent to the expression 5(x + 3). Which of these best explains how Joe re

marta [7]

Answer:

Step-by-step explanation:

4 0

3 years ago

If G(s) is the inverse of S(g) , and G(2) =16 then s(16) = 2 true or false?

lina2011 [118]

If f(x) is the inverse of g(x) then if f(a)=b then g(b)=a

so if G(s) is the inverse of S(g) then if G(2)=16 then S(16)=2, true

yes, it's true

A is answer

6 0

3 years ago

Read 2 more answers

Consider the expression √(√625).

const2013 [10]

Answer:

Step-by-step explanation:

Square Root - Finding a number that multiplies itself twice into the number within the square root

With this meaning, we need to find a number that multiplies itself into 625.

Finding calculations using exponents will help,

25^2 is equal to 625. Therefore $\sqrt{25}$

We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?

This would be 5, therefore $\sqrt{(\sqrt{625}) }$ is equal to 5.

6 0

3 years ago