Find the y-intercept of the following equation:<br><br> y = 7/2x

This is a warmup for your first project. The drug valium is eliminated from the bloodstream through a decay process with a half-

frosja888 [35]

Step-by-step explanation:

a. We have v as the amount of drug(mg) in the blood at time t (hrs)

b. Flow rate in = k litre/he

For a circulatory system we have the flow rate in and flow rate out to be the same

Therefore,

Flow rate out = k litre/hr

concentration of drug going in = 0mg/litre

Concentration of drug going out = v mg/litre

V(0) = 20mg since 20mg was taken at midnight

V(0) = 20

Half life t1/2 = 36 hours

V(36) = v(0)/2

= 20/2

= 10mg

C. $ivp = \frac{dv}{dt}$ $= -kv$

$v(0) = 20mg\\v(36) = 10mg$

d. solution

$\frac{dv}{dt} = -kt\\ln(v) = ln(c) - kt$

$\frac{v}{c} = e^{-kt} = v=ce^{-kt}$

v(0) = 20

$ce^{-k(0)} =20$

c = 20

so

$v(t) = 20e^{-kt}$

e.

$t\frac{1}{2}=36hours\\ v(36)= 10$

$10 = 20e^{-36k}$

$\frac{1}{2} =e^{-36k}$

we take log

$k=\frac{ln(2)}{36}$

please check attachment for answer f

8 0

3 years ago

What is the slope and y-intercept of the equation 6x + 2y = 14<br> I

galina1969 [7]

Slope: -3
y-intercept: (0,7)

7 0

3 years ago

Choose a rule for the translation.

pantera1 [17]

Your answer would be B, X+2 Y-1

3 0

3 years ago

RESPONDE LAS PREGUNTAS 8, 9 Y 10 DE ACUERDO CON LA

andrew-mc [135]

Answer:

ANSWER QUESTIONS 8, 9 AND 10 ACCORDING TO THE

NEXT INFORMATION

Luis painted a mural that

has 760 cm of

perimeter; your measurements are

show in the following

figure.

8. The expression associated with the length of the mural: 2x - 40, is

can interpret as

A. the length is 40 cm less than twice its width

B. the length exceeds the width value by 40 cm

C. the width squared, minus 40 cm, equals the length

D. 40 cm minus twice the width is the value of the length

9. What are the measurements in centimeters of the mural?

A. length: 150, width: 190 B. length: 210, width: 250

B. length: 210, width: 250

C. length: 240, width: 140 D. length: 230, width: 190

D. length: 230, width: 190

10. The area Luis used to paint the mural is

A. 2 [(2x - 40) + x] B. 2x2 - 40x

B. 2x2 - 40x

C. (2x) x - 40 D. x2 - 40x

D. x2 - 40x

Step-by-step explanation:

6 0

3 years ago

The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The p

Bas_tet [7]

Take sides as $a, \: ar, \: ar^2$

6 0

3 years ago

Find the y-intercept of the following equation: y = 7/2x - 10/7