12. The function M(h) = 10e-0.173h can be used to find the number of milligrams M of morphine that is

in the patient's bloodstream h hours after the drug has been administered.

(a) What was the initial dosage?

(b) How many milligrams will be present after 1 hour? After 4 hours?


please help..

Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

Answer:

D = 1

Step-by-step explanation:

0.99949

round the answer so its 1

diameter = 1

Answer:

-11 and -7

Step-by-step explanation:

Answer:

-11 and -7

Step-by-step explanation:

-11 + (-7) = -18

-11 x -7 = 77

Answer (predicted):

About 0.221

Answer:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

Answer:

11 inches

Step-by-step explanation:

Volume of a box is:

[tex]l * w * h[/tex]

[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]

The height is 11 inches.

Hope this helps.

Volume of the box = LWH.

Let V = 264

264 = (8)(3)(H)

264 = 24H

264 ÷ 24 = H

11 = H

The height of the box is 11 inches.

Answer:

-23/3

Step-by-step explanation:

sorry if i am wrong

Answer:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

Answer:

Function 1:

We have 3x + 5, so we plug in 3 for x to get 9 + 5 = [tex]\boxed{14}[/tex]

Function 2:

We have [tex]\frac{1}{2}x^{2} - 1.5[/tex] so we have 4.5 - 1.5 = [tex]\boxed{3}[/tex]

Function 3:

We have [tex]\frac{3}{2x}[/tex] which becomes [tex]\frac{3}{6} = \boxed{\frac{1}{2}}[/tex].

Answer:

62/100= 31/50

45/100= 9/20

Step-by-step explanation:

Divide 62 and 100 by two to simplify

Divide 45 and 100 by 5 to simplify

Answer:

62/100 = 31/50

45/100 = 9/20

Step-by-step explanation:

62 and 100 have a greatest common factor of 2. We can use this to break the fraction 62/100 apart:

[tex]\dfrac{62}{100}=\dfrac{2\times31}{2\times50}=\dfrac{2}{2}\times\dfrac{31}{50}=\dfrac{31}{50}[/tex]

We can do the same to simplify 45/100. The greatest common factor of 45 and 100 is 5, so following the same process:

[tex]\dfrac{45}{100}=\dfrac{5\times9}{5\times20}=\dfrac{5}{5}\times\dfrac{9}{20}=\dfrac{9}{20}[/tex]

Answer:

Im not sure Im sorry Im just trying to get points but I will send to a friend to help

Step-by-step explanation:

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

B is standard form. y=1/2x + 2

Answer:

d.-7x+2y=9 that is the answer

Answer:

C. 362

Step-by-step explanation:

If you divide 1567.46 by 4.33, you get 362.

Answer:

c

Step-by-step explanation:

Answer:

3.0 inches

Step-by-step explanation:

The formula for the volume of a sphere is

V = 4/3 × π × r³

V = 113.04 cubic inches

To find r

r = (3V/4π)⅓

r = (3 × 113.04/4 × π )⅓

r = 3.0 inches

The radius of one flask = 3.0 inches

Option A is correct

Answer:

(16×16) +(32×8)

256+256

512m²

Answer:

x₂ = - 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to [tex]\frac{5}{6}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (9, 9) and (x₂, y₂ ) = (x₂, - 1)

m = [tex]\frac{-1-9}{x_{2}-9 }[/tex] , that is

[tex]\frac{-10}{x_{2}-9 }[/tex] = [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(x₂ - 9) = - 60 ( divide both sides by 5 )

x₂ - 9 = - 12 ( add 9 to both sides )

x₂ = - 3

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

#SPJ2

9514 1404 393

Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

__

Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

__

2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

Answer:

14.93°

Step-by-step explanation:

Using trigonometry :

From the diagram attached :

Angle of elevation = x

To obtain the value of x

Tan x = opposite / Adjacent

Tan x = 8 / 30

Tan x = 0.266666

x = tan^-1(0.26666)

x = 14.93°

Therefore, the angle of elevation is 14.93°

Answer:

c i think soory if wrong

Step-by-step explanation:

Answer:

y = -8/3x - 11

Step-by-step explanation:

(-6, 5) and (-3, -3)

Slope:

m=(y2-y1)/(x2-x1)

m=(-3-5)/(-3+6)

m=(-8)/3

m= -8/3

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -8/3(x + 6)

y - 5 = -8/3x - 16

y = -8/3x - 11