To determine the dosage of lincomycin for Clyde Dexter, his weight is first converted to kilograms (88.9 kg), then the prescribed dosage of 20 mg/kg is applied, resulting in a required dosage of 1778 mg.
Explanation:To calculate the dosage of lincomycin for Clyde Dexter, we first need to convert his weight from pounds to kilograms. Knowing that there are approximately 2.20462 pounds in a kilogram, we can calculate his weight in kilograms. Following this, we will calculate the dosage of lincomycin required based on the prescribed 20 milligrams per kilogram of body weight.
Step 1: Convert Weight to Kilograms
Clyde’s weight in pounds: 196 lb
Conversion factor: 1 kg = 2.20462 lb
Clyde’s weight in kilograms: 196 lb / 2.20462 = 88.9 kg (approximately)
Step 2: Calculate Dosage
Prescribed dosage: 20 mg/kg
Clyde's weight: 88.9 kg
Required dosage of lincomycin: 88.9 kg * 20 mg/kg = 1778 mg
The calculated dosage of lincomycin for Clyde Dexter, based on his body weight, is therefore 1778 mg. This dose is to be mixed with 250 cc of normal saline solution and administered intravenously over a 1 hour period.
2. A,B,C,D ?
3. A,B,C,D ?
at a shopping mall,4/9 of the shoppers were children and 5/7 of the adults were woman.They were 1/2 as many boys as men.They were 90 more girls than boys. (a) what fraction of the shoppers in the shopping mall were men ? (b) How many shoppers were in the shopping mall ?
Find the critical value za/2 that corresponds to a 82% confidence level.
The critical value (or z-score) that corresponds to a 82% confidence level is approximately ±1.34, which is determined using a standard normal distribution table related to the value calculated from α/2 = 0.09.
Explanation:To find the critical value za/2 that corresponds to a 82% confidence level, we start by knowing that confidence level (CL) is the area in the middle of the standard normal distribution. We know that CL = 1 - α, hence for this particular question, α = 1 - 0.82 = 0.18, and α/2 = 0.09. The Z score associated with α/2 = 0.09 in the standard normal distribution table, which represents the critical value za/2, is approximately ±1.34.
So for an 82% confidence level, the critical value za/2 is roughly ±1.34.
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1. WHAT DOES IT MEAN TO SOLVE A RIGHT TRIANGLE?
2. HOW CAN YOU SOLVE RIGHT TRIANGLES USING SIMILARITY? THE PYTHAGOREAN THEOREM?
3. WHAT IS THE RELATIONSHIP BETWEEN THE SIDES AND ANGLES MEASURES OF RIGHT TRIANGLES THAT
DESCRIBE TRIGONOMETRIC FUNCTIONS?
4. WHAT ARE THE INVERSE TRIGONOMETRIC FUNCTIONS? HOW ARE THE INVERSE FUNCTIONS USED WHEN
SOLVING RIGHT TRIANGLES?
5. WHAT IS THE RELATIONSHIP BETWEEN THE ANGLE OF ELEVATION AND THE ANGLE OF DEPRESSION?
GIVE AN EXAMPLE OF AN APPLICATION USING THE ANGLE OF ELEVATION OR THE ANGLE OF DEPRESSION.
The amount after 8years will be what
A hotel has $504 to buy new pillows. If the cost of each pillow is $6, how many pillows will the hotel be able to buy? A) 78 B) 84 C) 88 D) 96
Which functions represent the arithmetic sequence 8, 1.5, –5, –11.5 . . . ? Check all that apply.
f(n) = –6.5n + 14.5
f(n) = –1.5n + 9.5
f(n) = 6.5n + 1.5
f(1) = 8, f(n + 1) = f(n) – 6.5
f(1) = 8, f(n + 1) = f(n) – 1.5
f(1) = 8, f(n + 1) = f(n) + 6.5
Answer:
f(n) = –6.5n + 14.5
f(1) = 8, f(n + 1) = f(n) – 6.5
Step-by-step explanation:
The nth term of an arithmetic sequence is given as
Tn = a + (n-1)d
where a is the first term and d is the common difference between two consecutive terms
From the given sequence,
a = 8, d = 1.5 - 8
d = -6.5
As such, Tn = f(n) = 8 + (n-1)-6.5
= 8 - 6.5n + 6.5
= 14.5 - 6.5n
f(1) = 8
f(n + 1) - f(n) = – 6.5
f(n + 1) = f(n) – 6.5
Identify all of the root(s) of g(x) = (x2 + 3x - 4)(x2 - 4x + 29)
Answer:
x=-4,1,2+5i,2-5i
Step-by-step explanation:
Given is an algebraic expression g(x) as product of two functions.
Hence solutions will be the combined solutions of two quadratic products
[tex]g(x) = (x^2 + 3x - 4)(x^2 - 4x + 29)\\[/tex]
I expression can be factorised as
[tex](x+4)(x-1)[/tex]
Hence one set of solutions are
x=-4,1
Next quadratic we cannot factorize
and hence use formulae
[tex]x=\frac{4+/-\sqrt{16-116} }{2} =2+5i, 2-5i[/tex]
Answer:
The answer above is correct:
B. 1
C. 4
E. 2+5i
F. 2-5i
Step-by-step explanation:
I got this right on Edg. 2021
Consider a large population with a mean of 150 and standard deviation of 27. a random sample of size 25 is taken from the population. calculate the standard error of the sampling distribution of this sample mean and round your answer to the hundredths place.
Answer:
Standard error = 5.4
Step-by-step explanation:
We are given that Population Mean, [tex]\mu[/tex] = 150 and Population Standard deviation, [tex]\sigma[/tex] = 27 and sample size, n = 25
Standard error formula for the sampling distribution of this sample mean is given by;
Standard error = [tex]\frac{\sigma}{\sqrt{n} }[/tex] = [tex]\frac{27}{\sqrt{25} }[/tex] = 5.4
If the radius and height of a cylinder are multiplied by 3, the lateral area of the cylinder is multiplied by
an aquarium weighs 22.5 lb when empty the aquarium is 30 in long 14 in wide and is filled with water to a depth of 18 in. Water weighs 0.036 pounds per cubic inch. How much does the aquarium weigh when it's full of water
The weight of the aquarium when it's full of water is 294.66 pounds.
To get the weight of the aquarium we first calculate the volume of the aquarium.
[tex]Volume=(length\times width\times height)[/tex]
[tex]V=30\times 14\times18[/tex]
[tex]V=7560 \ in^3[/tex]
But weight of water is such that for every cubic inches, the weight is [tex]0.036\ lb[/tex]
thus the weight of water will be:
[tex]0.036×7560=272.16 lb[/tex]
Thus the total weight of the aquarium is:
[tex]272.16+22.5[/tex]
[tex]=294.66 \l b[/tex]
The weight of the aquarium when it's full of water is 294.66 pounds.
The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground
Answer:
3 seconds is the time when the object hits the ground.
Step-by-step explanation:
Given the height of a free falling object at time t can be found using the function is given by:
[tex]h(t)=-12t^2+36t[/tex] ....[1]
where,
h(t) is the height in feet
t is the in seconds.
We have to find the time when the object hits the ground.
⇒h(t) = 0
Substitute this in [1] we have;
[tex]-12t^2+36t =0[/tex]
⇒[tex]12t^2-36t = 0[/tex]
⇒[tex]12t(t-3) = 0[/tex]
⇒t = 0 and t = 3
Since, time cannot be 0.
⇒t = 3 seconds
Therefore, the time when the object hits the ground is, 3 seconds
5 to 2 = __ to 4 and also 14 to 21 = __ to 15
In the diagram, what is the measure of angle 1?
A. 135°
B. 125°
C. 15°
D. 45°
A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. What is the area of the Japanese garden around the koi pond? Use 3.14 for pi. 195.74 ft2 224.00 ft2 252.26 ft2 337.04 ft2
Answer: [tex]195.74\ ft^2[/tex]
Step-by-step explanation:
From the given picture, the length of the garden = 16 ft
The width of the garden = 14 ft
Now, the area of the whole garden is given by :-
[tex]\text{Area of whole garden}=length\times width\\\\\Rightarrow\text{Area of whole garden}=16\times14=224\ ft^2[/tex]
Also, the radius of the circular pond (r)= 3 ft
The area of the circular pond is given by :-
[tex]\text{Area of pond}=\pi r^2\\\\\Rightarrow\text{Area of pond}=(3.14)(3)^2\\\\\Rightarrow\text{Area of pond}=28.26\ ft^2[/tex]
Now, the area of the Japanese garden around the koi pond
= Area of the whole garden - Area of the Koi pond
=[tex]224-28.26=195.74\ ft^2[/tex]
Hence, the area of the Japanese garden around the koi pond is [tex]195.74\ ft^2[/tex]
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James threw a flying disc from a height of 4 feet above the ground. The disc travels a horizontal distance of 30 feet before falling to the ground. The height of the disc, in feet, at a distance of t feet from James, is modeled on the graph below.
FILL IN BLANK
The domain represents the A. horizontal distance covered by B. maximum height of C. possible heights of the flying disc. The range of this function is [A. 1 B. 0 C. 2, A. 7 B. 6 C. 5 ]. For this function, the range represents the flying disc's A. possible heights B. maximum heights C. horizontal distance covered
If a 10-pound sack of potatoes costs $6.55, how much would 1 pound cost? Round your answer to the nearest cent.
a monument stands at level ground. The angle of elevation to the top of the monument taken at a point 405 feet away is 32°. Find the height of the monument.
The height of the monument is approximately 253.2 feet.
To find the height of the monument, we can use trigonometry, specifically the tangent function, which relates the angle of elevation to the height and distance from the observation point.
Step-by-Step Solution:
Identify the given values:
Distance from the point: 405 feetAngle of elevation: 32°Use the tangent function:
tan(θ) = opposite / adjacent
Where θ is the angle of elevation, the opposite side represents the height of the monument (h), and the adjacent side represents the distance from the point (405 feet).
Set up the equation and solve for h:
tan(32°) = h / 405 feet
Using a calculator, find tan(32°):
tan(32°) ≈ 0.6249
So the equation is:
0.6249 = h / 405
Multiply both sides by 405 to solve for h:
h ≈ 0.6249 * 405
h ≈ 253.2 feet
Thus, the height of the monument is approximately 253.2 feet.
1. Draw a right triangle with sides 2,2√3, and 4 units. Label all angle measures and sides. Using the side relationships from the figure, show that the following trigonometric identities hold true for either one of the non-right angles:
a. tan 0=sin 0/cos O
b.) sin^2(0)+cos^2(0)=1
where 0 represents whichever angle you choose
FYI...all of the 0 have a line through them
THank you because I don't understand this at all.
evaluate the following algebraic expression if a equals 3 and b equals 4 2a^+5b
0.04 × 0.61 =
Tell me how to work this out
7 times as much as the sum of 1_3 and 1_4
Q9 Q13.) Find the products AB and BA to determine whether B is the multiplicative inverse of A.
Domingo works 40 hours per week as a tire store manager. If he made $29,640 last year, how much was he paid per hour? A. $14.25 B. $16.50 C. $12.25 D. $11.00
By dividing Domingo's annual salary of $29,640 by the total number of hours worked in a year (2080 hours), we find that his hourly rate is $14.25.
To determine how much Domingo was paid per hour, we need to follow these steps:
Find the total number of hours Domingo worked in the year. He works 40 hours per week for 52 weeks, so the total is 40 hours/week × 52 weeks/year = 2080 hours/year.Calculate the hourly wage by dividing his total annual salary by the total number of hours worked. He made $29,640 last year, so we do the following calculation: $29,640 / 2080 hours = $14.25/hour.Therefore, Domingo was paid $14.25 per hour.
Answer: A. $14.25HELP ASAP!!!!!!
Solve and graph the inequalities below.
Describe your graphs using words as illustrated in the sample below.
SAMPLE: Part 1: The solution is x > 5 and x<=9.
Part 2: There would be an open circle on 5 and a closed circle on 9.
Part 3: The shading is between the two numbers.
Be sure that you have included all three parts when answering each question. "Greater than or equal to" would be typed >=. "Less than or equal to" would be typed <=.
1.) d - 1 > -3 and d + 2 < 5
2.) -3k + 7 > -5 and -7k + 5 < -2
3.)-5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson.)
4.)x - 4 < 5 or x + 2 > 15
5.) 5x - 4 > 6 or -4x + 5 > 1
Mario cut a circular pizza into 9 equal slices. he put a slice of pizza on each of 5 plates. what is the measure
for the angle of the slices that are left
The measure for the angle of the slices that are left is 160°.
What is multiplication?Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.
Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.
Given:
Mario cut a circular pizza into 9 equal slices.
Angle of a circle = 360°
If Mario cut into 9 pieces.
360° / 9 = 40°
That means, the angle measure of each slice is 40°.
And he put a slice of pizza on each of 5 plates.
That means, he left 9 - 5 = 4 slice on the plate.
So, the angle measure;
4 x 40° = 160°
Therefore, the angle measure of the 4 slices are 160°
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Select the best answer for the question.
2. Express the fractions 3/4, 7/16, and 5/8 with the LCD.
A. 9/16, 49/16, 36/16
B. 3/4, 2/4, 3/4
C. 12/16, 7/16, 10/16
D. 24/32, 14/32, 24/32
100 POINTS
What is the area of the figure:
Answer:
144 ft²
Step-by-step explanation:
There are a number of ways you can solve this problem. One is to figure the leg lengths, and use those to compute the area of the triangle in the usual way.
AC = (24 ft)·sin(45°) = 12√2 ft
BC = (24 ft)·cos(45°) = 12√2 ft
Area = 1/2·AC·BC = (1/2)·(12√2 ft)·(12√2 ft) = 144 ft²
___
Another is to recognize that the altitude from the hypotenuse of this isosceles right triangle is half the length of the hypotenuse, or 12 ft. Then the triangle area formula gives the area as ...
Area = (1/2)·AB·(AB/2) = (1/2)·(24 ft)·(12 ft) = 144 ft²
___
Along the same lines, the triangle is half a square whose diagonals are both 24 ft. The area of the square is half the product of those diagonals:
square area = (1/2)·(24 ft)² = 288 ft²
The triangle area is half of that, or
Area = (1/2)(288 ft²) = 144 ft²
Answer:
144 ft²
Step-by-step explanation:
AC = (24 ft)·sin(45°) = 12√2 ft
BC = (24 ft)·cos(45°) = 12√2 ft
Area = 1/2·AC·BC = (1/2)·(12√2 ft)·(12√2 ft) = 144 ft²
PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
PLEASE HELP ME!!!!!!!! ASAP