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Vanyuwa [196]
2 years ago
5

Select all that apply. Which of the following represent the same ratio?

Mathematics
2 answers:
lord [1]2 years ago
8 0
The correct answer would be choices:

A and D.

A. 2 to 3 can be translated to 2/3, which is obviously the same as D. 2/3.

pashok25 [27]2 years ago
7 0
A and D are the same, just written in different formats. The rest are not equivalent because 2/3 does not equal 2/5 and 2/3 also does not equal 3/2.
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A barrel of tomato sauce has spilled on a tile floor. The sauce flow can be expressed with the function r(t) = 2t, where t repre
IrinaVladis [17]
For the answer to the question above, I'll show my solution for the answer below.
Area A = pi r^2 
<span>The rate of change of area = d A/ d t = 2 pi r d r/d t </span>
<span>r= 2t, d r = 2 d t </span>
<span>This gives </span>
<span>d A/ d t = 2 pi 2t 2 d t = 8 pi t dt </span>
<span>Integrate it </span>
<span>A= 4 pi t^2. </span>
<span>After t=5, the area will be 100* 3.14 square= 314 square units.</span>
3 0
3 years ago
Read 2 more answers
Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.
snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

so

1)

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t²  ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁  and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

2)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

3)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t  and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

8 0
3 years ago
Please help me answer this :) and explain how you got your answer ! ( will give brainslt )
Bess [88]

Answer: y = - 0.4 x - 4.5

Step-by-step explanation:

Equation y=mx+b

m is the slope

x is *ANY* x coordinate

y is *ANY* y coordinate

b is y intercept or WHERE the point is on the Y AXIS

Lets look at the given:

Slope (m) is -2/5

Passes through point 15, -9/2

As you can see, the point goes through the Y axis at (-9/2)

Our equation is y = - 0.4 x - 4.5

5 0
2 years ago
EASY POINTS
SVEN [57.7K]
I think the answer is B.78Degrees
8 0
2 years ago
Which steps will help prevent the introduction of invasive species into an area?
madreJ [45]

Answer:

answer becit uses b

Step-by-step explanation:

but yass queen but annyway

4 0
3 years ago
Read 2 more answers
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