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Lady bird [3.3K]
3 years ago
10

Describing Function Notation of a Scenario

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0

Answer:

Ruby’s function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume is the dependent variable.

Step-by-step explanation:

sample response

san4es73 [151]3 years ago
5 0

Answer:

v(h) represents the volume of the water (ft³) in the pool at h hours

h is the number of hours

When h increased v(h) decreased

Step-by-step explanation:

- A swimming pool has about 603 cubic feet of water

∴ The volume of the water in the pool initially is 603 feet³

- The pool liner has a small hole and is leaking at a rate of 15  cubic

   feet each hour

∴ The rate of decreasing of the volume of the water in the pool is

   15 feet³ per hour

- The volume of the the water v at a time h hour can represented by

  a linear function v(h)

∴ v(h) = -15 h + 603 , where v(h) is the volume of the water in the

   pool in cubic feet at h hour

- Let us put an example to understand the relation between v(h)

  and h

- Assume that h = 0

∵ h = 0

∴ v(0) = -15(0) + 603

∴ v(0) = 603 ft³ ⇒ The volume of the water at the beginning

- Assume that h = 2 hours, that means we need to know the volume

  of the water after two hours

∵ h = 2 hours

∴ v(2) = -15(2) + 603

∴ v(2) = -30 + 603 = 573 ft³

∵ h increased from 0 to 2

∴ v(t) decreased from 603 ft³ to 573 ft³

∴ The volume decreased when the number of hours increased

* v(h) represents the volume of the water (ft³) in the pool at h hours

* h is the number of hours

* When h increased v(h) decreased

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Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

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2) A) Name of triangle: ABC

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Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

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den301095 [7]

Answer:

Option C 20

GOOD LUCK FOR THE FUTURE! :)

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