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arlik [135]
2 years ago
11

Maria is draining her hot tub at a rate of 5.5 gallons per minute. Is the amount of water left in the pool a function of the amo

unt of time she has been draining it?
Mathematics
1 answer:
AleksandrR [38]2 years ago
8 0

The amount of water in the pool after t minutes is modeled by the linear function V(t) = V(0) - 5t, hence it is a function of time.

A <em>linear function</em> for the amount of water in the pool, considering that it is <u>drained at a rate of a gallons per minute</u>, is modeled by:

V(t) = V(0) - at

  • In which V(0) is the initial volume.

In this problem, draining her hot tub at a rate of <u>5.5 gallons per minute</u>, hence a = 5.5, and:

V(t) = V(0) = 5.5t

Which is a function of time.

To learn more about linear functions, you can take a look at brainly.com/question/13488309

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A monomial of the 2nd degree with a leading coefficient of 3
Rzqust [24]

Given:

Polynomials

To find:

Monomial of 2nd degree with leading coefficient 3

Solution:

Monomial is an algebraic expression with only one term.

Option A: 3 n^{2}-1

It is not a monomial because it have 2 terms.

It is not true.

Option B: 3 n-n^{2}

It is not a monomial because it have 2 terms.

It is not true.

Option C: 3 n^{2}

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 2

Leading coefficient means the value before variable.

Leading coefficient = 3

It is true.

Option D: 2n^3

It have one term only. So, it is a monomial.

Degree means highest power. So degree = 3

It is not true.

Therefore 3 n^{2} is a monomial of 2nd degree with a leading coefficient of 3.

5 0
3 years ago
A gallon of paint will cover approximately 350 square feet and artist wants to paint all the outside surfaces of a cube measurin
Gelneren [198K]
Assuming that the artist wants to paint 6 sides of the cube, the formula to count the surface area of the cube would be: 6* edge length^2. If the edge length is 10 feet, then the area would be:
area= 6*edge length^2
area= 6* 10^2 feet 
area= 6*100feet^2= 600 feet^2

If one gallon of paint can be used for 350 feet^2, the amount of paint needed would be: 600feet^2/ (350ft^2/ gallon)= 1.71 gallon
8 0
3 years ago
URGENT WORTH 20 POINTS
Triss [41]
If we were to draw a best fit line, the y-interest would be near 15, and the slope would be negative.

In the options given, the slope is either -3 or -13. If we imagine a line through the plotted points, the rise would be about 15 while the run would be about 5. This means the slope is about -3.

The best answer is y = -3x + 15





5 0
3 years ago
Need simplified please
Romashka-Z-Leto [24]

Answer:

70

Step-by-step explanation:

7^2 - ( 6-3^3)

PEMDAS

Parentheses first

7^2 - ( 6-3^3)

The exponent in the parentheses first

7^2 - ( 6-27)

7^2 - ( -21)

Now the exponent

49 - (-21)

Now subtract

49 +21

70

6 0
2 years ago
In circle A, ∠BAE ≅ ∠DAE. What is the length of BE? 14 units 17 units 27 units 34 units
zhannawk [14.2K]

Answer:

The length of BE is 27 units ⇒ 3rd answer

Step-by-step explanation:

In circle A:

∠BAE ≅ ∠DAE

Line segments A B, A E, and A D are radii

Lines are drawn from point B to point E and from point E to point D to form secants B E and E D

The length of B E is 3 x minus 24 and the length of E D is x + 10

We need to find the length of BE

∵ AB and AD are radii in circle A

∴ AB ≅ AD

In Δs EAB and EAD

∵ ∠BAE ≅ ∠DAE ⇒ given

∵ AB = AD ⇒ proved

∵ EA = EA ⇒ common side in the two triangles

- Two triangles have two corresponding sides equal and the

  including angles between them are equal, then the two

  triangles are congruent by SAS postulate of congruence

∴ Δ EAB ≅ Δ EAD ⇒ SAS postulate of congruence

By using the result of congruence

∴ EB ≅ ED

∵ EB = 3 x - 24

∵ ED = x + 10

- Equate the two expressions to find x

∴ 3 x - 24 = x + 10

- Add 24 to both sides

∴ 3 x = x + 34

- Subtract x from both sides

∴ 2 x = 34

- Divide both sides by 2

∴ x = 17

Substitute the value of x in the expression of the length of BE to find its length

∵ BE = 3 x - 24

∵ x = 17

∴ BE = 3(17) - 24

∴ BE = 51 - 24

∴ BE = 27

The length of BE is 27 units

3 0
3 years ago
Read 2 more answers
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