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3 years ago

30p questions hurry need your help pleaseeee!!

Mathematics

2 answers:

Ber [7]3 years ago

6 0

Yes she can find the average colour by adding up all the amount of colors by how many colors there are.

erastova [34]3 years ago

6 0

A) Whichever is most

B) Highest # minus lowest #

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I don't know the answer please help

KatRina [158]

I had this question today. I believe its either D or C, but my friend told me it was D. So, I think it's D. I hoped if this helped you or not. If you get it wrong Im very sorry so it would've been C.

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3 years ago

What is the total monthly payment?

dalvyx [7]

Payment of what more details plz

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3 years ago

7.find the equation of a circle with one of the diameters x+2y+8=0and passing through the intersection of a circle x²+y²+2=0 and

ozzi

Answer:

See below

Step-by-step explanation:

Find the intersection of circles

x² + y² + 2x = 0 and
x² + y² - 3y = 0

Subtract the equations to find:

2x = -3y ⇒ y = -2/3x

By substitution find the points:

(0, 0) and (-1.385, 0.923)

Find midpoint between these two points:

x = (0- 1.385)/2 = -0.6925 , y = (0 + 0.923)/2 = 0.4615

Find perpendicular bisector passing through this point:

y - 0.4615 = 3/2(x + 0.6925)
y = 1.5x + 0.4615 + 1.5(0.6925)
y = 1.5x + 1.50025

Find intersection of the lines, it is the center:

y = 1.5x + 1.50025
x + 2y + 8 = 0

Solving we get:

x = -2,75, y = -2.625

Find radius, the distance from center to point (0, 0) and get equation of circle:

(x + 2.75)² + (y + 2.625)² = (0 + 2.75)² + (0 + 2.625)²
x² + 5.5x + y² + 5.25y = 0
4x² + 22x + y² + 21y = 0
4x² + 4y² + 22x + 21y = 0

4 0

3 years ago

Read 2 more answers

A common assumption in modeling drug assimilation is that the blood volume in a person is a single compartment that behaves like

mixas84 [53]

Answer:

a) $\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}$

b) $\mathbf{x = 2000 - 2000e^{-0.015t}}$

c) the steady state mass of the drug is 2000 mg

d) t ≅ 153.51 minutes

Step-by-step explanation:

From the given information;

At time t= 0

an intravenous line is inserted into a vein (into the tank) that carries a drug solution with a concentration of 500

The inflow rate is 0.06 L/min.

Assume the drug is quickly mixed thoroughly in the blood and that the volume of blood remains constant.

The objective of the question is to calculate the following :

a) Write an initial value problem that models the mass of the drug in the blood for t ≥ 0.

From above information given :

$Rate _{(in)}= 500 \ mg/L \times 0.06 \ L/min = 30 mg/min$

$Rate _{(out)}=\dfrac{x}{4} \ mg/L \times 0.06 \ L/min = 0.015x \ mg/min$

Therefore;

$\dfrac{dx}{dt} = Rate_{(in)} - Rate_{(out)}$

with respect to x(0) = 0

$\mathbf{\dfrac{dx}{dt} = 30 - 0.015 x}$

b) Solve the initial value problem and graph both the mass of the drug and the concentration of the drug.

$\dfrac{dx}{dt} = -0.015(x - 2000)$

$\dfrac{dx}{(x - 2000)} = -0.015 \times dt$

By Using Integration Method:

$ln(x - 2000) = -0.015t + C$

$x -2000 = Ce^{(-0.015t)$

$x = 2000 + Ce^{(-0.015t)}$

However; if x(0) = 0 ;

Then

C = -2000

Therefore

$\mathbf{x = 2000 - 2000e^{-0.015t}}$

c) What is the steady-state mass of the drug in the blood?

the steady-state mass of the drug in the blood when t = infinity

$\mathbf{x = 2000 - 2000e^{-0.015 \times \infty }}$

x = 2000 - 0

x = 2000

Thus; the steady state mass of the drug is 2000 mg

d) After how many minutes does the drug mass reach 90% of its stead-state level?

After 90% of its steady state level; the mas of the drug is 90% × 2000

= 0.9 × 2000

= 1800

Hence;

$\mathbf{1800 = 2000 - 2000e^{(-0.015t)}}$

$0.1 = e^{(-0.015t)$

$ln(0.1) = -0.015t$

$t = -\dfrac{In(0.1)}{0.015}$

t = 153.5056729

t ≅ 153.51 minutes

4 0

3 years ago

Erin has four shirts (white, blue, red, black) and two pairs of pants (blue and black). She randomly chooses a shirt and a pair

Alexxx [7]

D- 1/4
The probability of Blue shirt blue socks is 1/4 * 1/2 = 1/8
Add this to the same probability of black and black =2/8 = 1/4

8 0

3 years ago

Read 2 more answers