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soldier1979 [14.2K]

3 years ago

10

Help me i neeed am answer

1 answer:

Temka [501]3 years ago

5 0

5*k
=5k

So therefore, the first option is correct.

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Which equation has solution x = -3? *

Alex73 [517]

Answer:

1/2(2x-6)= -6

Step-by-step explanation:

Multiply the two sides by the equation 2

2x-6=12

move the constant to the right hand side change sign

2x = -12 + 6

calculate the sum

2x= -6

Divide the 2 sides by 2

x= -3

8 0

3 years ago

Evaluate the integral Integral ∫ from (1,2,3 ) to (5, 7,-2 ) y dx + x dy + 4 dz by finding parametric equations for the line seg

n200080 [17]

$\vec F(x,y,z)=y\,\vec\imath+x\,\vec\jmath+3\,\vec k$

is conservative if there is a scalar function $f(x,y,z)$ such that $\nabla f=\vec F$ . This would require

$\dfrac{\partial f}{\partial x}=y$

$\dfrac{\partial f}{\partial y}=x$

$\dfrac{\partial f}{\partial z}=3$

(or perhaps the last partial derivative should be 4 to match up with the integral?)

From these equations we find

$f(x,y,z)=xy+g(y,z)$

$\dfrac{\partial f}{\partial y}=x=x+\dfrac{\partial g}{\partial y}\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$f(x,y,z)=xy+h(z)$

$\dfrac{\partial f}{\partial z}=3=\dfrac{\mathrm dh}{\mathrm dz}\implies h(z)=3z+C$

$f(x,y,z)=xy+3z+C$

so $\vec F$ is indeed conservative, and the gradient theorem (a.k.a. fundamental theorem of calculus for line integrals) applies. The value of the line integral depends only the endpoints:

$\displaystyle\int_{(1,2,3)}^{(5,7,-2)}y\,\mathrm dx+x\,\mathrm dy+3\,\mathrm dz=\int_{(1,2,3)}^{(5,7,-2)}\nabla f(x,y,z)\cdot\mathrm d\vec r$

$=f(5,7,-2)-f(1,2,3)=\boxed{18}$

8 0

3 years ago

A square has a side length equal to 5x-3y inches. What is the area of this square

erastovalidia [21]

Answer:

D.

Step-by-step explanation:

The area is the product of 2 adjacent sides:

Area = (5x - 3y)(5x - 3y) as the sides of a square are all equal.

= 5x(5x - 3y) - 3y(5x - 3y)

= 25x^2 - 15xy - 15xy + 9y^2

= 25x^2 - 30xy + 9y^2.

5 0

3 years ago

The probabilty of getting an A in math is 0.65 and the probability of getting an a in science is 0.62 whats the probability of g

ruslelena [56]

Answer:

The probability of getting an a in both courses is 1.27

Step-by-step explanation:

Probability of getting A in Math, P(M) = 0.6 5

Probability of getting A in Science, P(S) = 0.62

Required probability of getting A in both courses, P(M and S)

= P(M) + P(S)

= 0.65 + 0.62

= 1.27

6 0

3 years ago

The Florida Fish and Wildlife Conversation Commission (FWC) plans to hire hunters to kill the Burmese python, an invasive specie

andrew-mc [135]

Complete Question

The complete question is shown on the first uploaded image

Answer:

FWOC should hire 70,000 hunters to completely remove the python in the area

Step-by-step explanation:

From the question we are given that the Initial Pythons $P_o=$ 100,000

And the final python $P_f$ $=100,000+\frac{P}{10,000}(100,000-P)$

$P_f = 100,000 + 10P -\frac{P^2}{10,000}$

For Max Number of Python

=> $\frac{dP_f}{dP} = 0$

=> $\frac{dP_f}{dP} =$ $100,000 -2P = 0$

=> $P = 50,000$

Hence the maximum number of pythons $Max_P$ $=100,000 +\frac{50,000}{10,000} (50,000)$

$=350,000$

Using Mathematical relations

from the Question

5 python is killed by = 1 hunter

1 python is killed by = $\frac{1}{5} \ hunters$

350 , 000 pythons are killed by = $\frac{350,000}{5}$

$= 70,000 \ hunters$

3 0

3 years ago