if the doctor orders 1 dram of medication to be given and the vial states that there is 1 mg in 1 cc you must do what

Answers

Answer 1
Answer: First, you need to convert all units to calculate what dose the doctor ordered.

1 dram = 4 mL
So, it must be given 4 mL of medication

1 cc = 1 mL
So, if the vial states that there is 1 mg in 1 cc , that means the concentration is 1 mg in 1 mL or, 1 mg/mL.

Now, we need to calculate what is the dose of medication in 4 mL:
1 mg is in 1 mL, how many mg is in 4 mL:
1 mg : 1 mL = x : 4 mL

Crossing the products:
x · 1 = 1 mg · 4
⇒ x = 4 mg

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In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?

Answers

Quadrilateral simply means a shape with 4 sides. It is 2 dimensional closed shape with straight lines. Its interior angles should sum up to 360°

If the angle of P = 70° , the angle of S = 112° 
___         ___
PS  and QR are parallel for what value of x.

x = angle of Q.
180° - 70° = 110°

the angle of R should be 180° - 112° = 68°

To check whether the interior angles sum up to 360°, we add up all angles

P =   70°
Q = 110°
R =   68°
S = 112°
       360°

Answer:

110

Step-by-step explanation:

use line p and q to solve for the x angle because p and q equal 180 degrees. 180 minus 70 is 110.

Suppose it is found that a certain model of car sells y= -1.6(x-2)^2 + 4.8(x-2) + 16 cars per week, where x is the number of shops selling the car. Make a graph and estimate the best number of shops at which the car should be sold, from the point of view of the manufacturer.

Answers

Answer:

Approximately 4 shops would be the best number of shops which the car is sold, and the number of cars is 20.

Step-by-step explanation:

This is a quadratic function. Therefore, the first thing you need to do is assume some values for x, and then, calculate the value of y, (which would be the number of cars sold). In this way, you can do the graph.

Watch the following attachment, which is a document of excel, showing the graph and some values of x, that I assume

Now, even if you don't have the graph you can estimate the number of shops with the following expression of the summit:

X = -b / 2a

Where:

a: number that goes along with the x elevated.

b: number that goes along with the x, but without being elevated.

In this equation, the first thing we need to do, is rearrange it, that's because we have a (x-2) in the equation, and this could be really annoying.

First let's solve the (x-2)^2

(x-2)^2 = (x-2)(x-2) = x^2 - 2*2x + 2^2 = x^2 - 4x + 4

This is now multiplied by -1.6:

-1.6x^2 + 6.4x - 6.4

Now, multiply 4.8 by x-2:

4.8x - 9.6

Finally, let's arrange this:

-1.6x^2 + 6.4x - 6.4 + 4.8x - 9.6 + 16

-1.6x^2 + 11.2x - 6.4 - 9.6 + 16 = -1.6x^2 + 11.2x

This means that the graph do not have a "y" intercept, and the values of a and b are -1.6 and 11.2, therefore, we can estimate the best number of shops, calculating the summit of the graph (This is because s a quadratic function, and the graph is a parable, and the minimum or maximum point of the graph is reached in the summit)

Summit has X and Y values, the x value is (see formula above):

X = -11.2 / 2 * -1.6 = 3.5

and for the y value, just replace the X value in the equation:

Y = -1.6(3.5)^2 + 11.2(3.5) = -19.6 + 39.2 = 19.6

With this we can conclude that the best number of shops that sells this model of car, is 4 (rounded) and they all sell 20 cars (also rounded). See the graph below in the attachment.

Answer:

The best number of shops at which the car should be sold is 3, from the point of view of the manufacturer.

Step-by-step explanation:

Below we can observe a graph of the function y = -1.6(x-2)^2 + 4.8(x-2) + 16. We have that for x = 3 (blue vertical line) and x = 4 (green vertical line) shops, the manufacturer sells the same number of cars per week y(3) = 19.2 and y(4) = 19.2, and this is the maximum number of car per week that can be sold. Because of operation costs (the less the number of shops, the cheaper the costs), the best number of shops at which the car should be sold from the point of view of the manufacturer is 3.

The recommended space needed for certain plant is 2 ft.² you want to plant 32 of this plants in a square garden .what is the length of each side of the garden if you follow the recommendation?

Answers

each side should be 32ft because if you do 32 times 2^2 it equals 128 and 128/4=32 so 32 per side

#1. What term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line? #2. Which term describes a line segment that connects a vertex of a triangle to the midpoint of the opposite side?

Answers

#1
The ALTITUDE is a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line.

#2
The MEDIAN  a line segment that connects a vertex of a triangle to the midpoint of the opposite side

Answer:

# 1

        Altitude of a triangle.

# 2

        Median of a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line that passes through a vertex and it intersects the opposite side of that vertex at 90 degree i.e. the line is perpendicular to the opposite side.

The point where the three altitudes of a triangle meet is called the Orthocenter of the triangle.

Median of a triangle--

The median of the triangle is the line which passes through a vertex and meets the midpoint of the opposite side of the triangle.

The point where the three medians of a triangle meet is called the Centroid of the triangle.

Find ∅ round to the nearest degree
A. 24°
B. 66°
C. 64°
D. 26°​

Answers

Answer:

C

Step-by-step explanation:

Using the cosine ratio in the right triangle

cosθ = (adjacent)/(hypotenuse) = (7)/(16) , then

θ = cos^(-1) ((7)/(16) ) ≈ 64° ( to the nearest degree )

A bookstore manager marks down the price if older hardcover books, which originally sell for b dollars, by 46%a. Write the mark down as a decimal
b. Write two expressions for the sale price of the hardcover book
c. What is the price of a hardcover book for which the original retail price was $29.00
d. If you buy the book in part c how much do you save by paying the sale price?

Answers

Answer:

a) 46% reduction = 1-(46/100)= 0.54

b) 46% reduction = 1-(46/100)= 0.54

price after reduction: b*0.54 =0.54b

or b-(b*46)/100 = b-(46b/100)= (100b-46b)/100 = 54b/100

c) 29*0.54=$15.66

gold 29-(54*29)/100 = $15.66

d) $29-$15.66=$13.34

Step-by-step explanation: