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creativ13 [48]
3 years ago
8

The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?

Mathematics
1 answer:
serg [7]3 years ago
3 0

Answer:

k=2/5

Step-by-step explanation:

It is the ratio of the amounts y and x:  

k = y/x

Put another way: y = kx

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Add x^3 - 4x^2 + 1 to 3x^2 + x <br> Show Your work!
Sladkaya [172]

\qquad \qquad\huge \underline{\boxed{\sf Answer}}

Let's solve ~

\qquad \sf  \dashrightarrow \: (x {}^{3}  - 4x {}^{2}  + 1) + (3 {x}^{2}  + x)

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 1 + 3 {x}^{2}  + x

\qquad \sf  \dashrightarrow \:  {x}^{3}  - 4 {x}^{2}  + 3x {}^{2}  + x + 1

\qquad \sf  \dashrightarrow \:  {x}^{3}  -  {x}^{2}  + x + 1

6 0
2 years ago
Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is
amm1812
\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)

\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3
\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)

\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2
\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C

\implies f(x,y,z)=3xy^2z^3+C

The potential function exists, so \mathbf f is indeed conservative.
7 0
3 years ago
Help pls I need help with this question anyone??
Neporo4naja [7]

Answer:

I think red

Step-by-step explanation:

SRY i I am wrong

4 0
3 years ago
Write 3.25 as a mixed number in simplest form.
snow_tiger [21]
3.25 can be re-written as;
=3+0.25
Converting the decimal to a fraction gives;
3+\frac{25}{100}
=Simplify the fraction;
3+\frac{1}{4}
The final answer is;
3\frac{1}{4}

4 0
3 years ago
Read 2 more answers
I need help on this. An answer and an explanation would be great!!
charle [14.2K]

Answer:

60 & 55

Step-by-step explanation:

1. the sum of the angles 1; 2 and 3 is 180°, then

m∠1=m∠2=m∠3; ⇒m∠3=60°;

2. m∠3=m∠r; ⇒ m∠r=60°;

3. m∠α= 180-(m∠r+65°)°; ⇒ m∠α=55°

all the details are in the picture.

4 0
3 years ago
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