The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units

The Volume Of The Box Is Modeled By The Function V (x) = 5x^2 + 5x. What Is The Volume When X= 4?-120

Answers

Answer 1
V= 5 x 4^2 + 5 x 4
V= 5 x 16 + 20
V= 80+ 20
V= 100
Answer is C 100 cubic units
Answer 2

The volume of box at x = 4 is, 100 cubic units

What is mean by Cuboid?

A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.

We have to given that;

The volume of the box is modeled by the function,

⇒ V (x) = 5x² + 5x

Now, At x = 4;

The volume of the box is,

⇒ V (x) = 5x² + 5x

⇒ V (4) = 5 × 4² + 5 × 4

⇒ V (4) = 5 × 16 + 20

⇒ V (4) = 80 + 20

⇒ V (4) = 100 cubic units

Learn more about the cuboid visit:

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You would be 20 years old.

7,13,19,25 write an equation to find the nth term of each sequence. Then find a24

Answers

Answer:

[tex]\boxed {a_{24} = 145}[/tex]

Step-by-step explanation:

According to the following pattern sequence ([tex]7, 13, 19, 25[/tex] ), it is Arithmetic Sequence, because every number is added by [tex]6[/tex]. So, to find the 24th term, you need to use the Arithmetic Sequence Formula and solve to find the 24th term:

[tex]a_{n} = a_{1} + (n - 1) d[/tex]

[tex]a_{n}[/tex]: nth term in the sequence

[tex]a_{1}[/tex]: 1st term

[tex]n[/tex]: term position

[tex]d[/tex]: Common difference

-Apply to the formula:

[tex]a_{24} = 7 + 6 (24 - 1)[/tex]

[tex]a_{n} = a_{24}[/tex]

[tex]a_{1} = 7[/tex]

[tex]n = 24[/tex]

[tex]d = 6[/tex]

-Solve:

[tex]a_{24} = 7 + 6 (24 - 1)[/tex]

[tex]a_{24} = 7 + 6 (23)[/tex]

[tex]a_{24} = 7 + 138[/tex]

[tex]\boxed {a_{24} = 145}[/tex]

Therefore, the 24th term is [tex]145[/tex].

The 24th term of the sequence is 145

7, 13 , 19, 25

The sequence is an arithmetic progression. Therefore, let's use arithmetic progression formula for nth term to find the 24th term.

Arithmetic progression:aₙ = a + (n - 1)d

where

a = first term

d = common difference

n = number of term

Therefore,

d = 13 - 7 = 6

a = 7

a₂₄ = 7 + (24 - 1)6

a₂₄ = 7 + (23)6

a₂₄ = 7 + 138

a₂₄ = 145

Therefore, the 24th term of the sequence is 145

learn more on sequence here: https://brainly.com/question/14092689

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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then...

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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ILL GIVE BRAINLEST
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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

1.4*40=56cm, DVD’s he has

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Answers

Answer:

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Step-by-step explanation:

Step 1:

0.6x - 0.1 = 0.5x + 2      Equation

Step 2:

0.1x - 0.1 = 2     Subtract 0.5x on both sides

Step 3:

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Step 4:

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Ansewr:

x = 21

Hope This Helps :)

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