To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.
Explanation:To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.
Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.
Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.
Final answer:
To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.
Explanation:
To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.
X^2+(y+)4^2=64 khan academy
Answer: The center is 0,4
Step-by-step explanation:
Use this form to determine the center and radius of the circle:
(
x-h)^2+(y-k)^2=r^2
Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin:
r=8
h=0
k=4
The center of the cirle is found at (h,k): (0,4)
The radius is 8
One cup is equal to 14.4375 in^3. If a 1-cup measuring cylinder has a radius of 3 in., what is its height? If
the radius is 1 in., what is its height? Round to the nearest tenth.
If the measuring cup has a radius of 3 in. then its height is
height is _____ in., and it it has a radius of 1 in. then it’s height is _____ in.
Answer:
The height of the cup is 0.51 in.
The height of the cup is 4.59 in.
Step-by-step explanation:
The volume of the cylinder is [tex]\pi r^2 h[/tex]
Given that,
The volume of the cup is 14.4375 in³.
If the measuring cup has a radius of 3 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 3 in.
[tex]\pi (3)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{9\pi }[/tex]
⇒h=0.51 in.
The height of the cup is 0.51 in.
If it has radius of 1 in.
Then,
[tex]\pi r^2h=14.4375[/tex]
Plug r= 1 in.
[tex]\pi (1)^2h=14.4375[/tex]
[tex]\Rightarrow h=\frac{14.475}{1\pi }[/tex]
⇒h=4.59 in.
The height of the cup is 4.59 in.
a town has a population of 5000 and grows at 2% every year. What will be the population after 5 years, to the nearest whole number
Answer: P(t) = 5000(1.02)^5
Step-by-step explanation:
Which expression is the as 400.902
Answer:
4*100+.9*0.1+.002*.001
Step-by-step explanation:
The student's question is unclear and lacks clarity. It is recommended that they provide more information or context so that an accurate explanation can be given.
Explanation:The question seems to be unclear. As a tutor, I would ask the student to clarify their question more specifically. The number '400.902' is indeed an expression, however, it's not clear what it's supposed to be equivalent to. Understanding the context can help provide a more accurate answer, as '400.902' could represent a multitude of things, such as a decimal, a fraction, a percentage or even part of a scientific notation. Without this information, I can't provide a reliable explanation or comparison.
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Mark has three 4 1/2 oz cans and five 8 1/4 oz cans. How many ounces of tomatoes does Mark need?
Answer:
54.74 ounces of tomatoes mark need.
Step-by-step explanation:
Given : Mark has three [tex]4\frac{1}{2}[/tex] oz cans and five [tex]8\frac{1}{4}[/tex] oz cans.
To find : How many ounces of tomatoes does Mark need?
Solution :
Mark has three [tex]4\frac{1}{2}[/tex] oz cans.
i.e. [tex]3\times 4\frac{1}{2}=3\times \frac{9}{2}=\frac{27}{2}[/tex]
Mark has five [tex]8\frac{1}{4}[/tex] oz cans.
i.e. [tex]5\times 8\frac{1}{4}=5\times \frac{33}{4}=\frac{165}{4}[/tex]
Total ounces of tomatoes does Mark need is
[tex]T=\frac{27}{2}+\frac{165}{4}[/tex]
[tex]T=\frac{54+165}{4}[/tex]
[tex]T=\frac{219}{4}[/tex]
[tex]T=54.75[/tex]
Therefore, 54.74 ounces of tomatoes mark need.
Where did Cailou come from?
Answer:
its canadian
Step-by-step explanation:
Side A B is parallel to Side D E in the map below.
Which proportion solves for the distance between D and E?
StartFraction 9 Over 6 EndFraction = StartFraction x Over 15 EndFraction
StartFraction 6 Over x EndFraction = StartFraction 15 Over 9 EndFraction
StartFraction 9 Over 6 EndFraction = StartFraction 15 Over x EndFraction
StartFraction 6 Over 15 EndFraction = StartFraction 9 Over x EndFraction
Given:
Given that the side AB is parallel to side DE.
The length of AB is 15 feet.
The length of BC is 9 feet.
The length of CD is 6 feet.
The length of DE is x feet.
We need to determine the proportion that solves the distance between D and E.
Proportion:
The proportion that solves the distance between D and E can be determined by the similar triangle property.
Thus, we have;
[tex]\frac{BC}{CD}=\frac{AB}{DE}[/tex]
Substituting the values, we have;
[tex]\frac{9}{6}=\frac{15}{x}[/tex]
Thus, the proportion that solves the distance between D and E is [tex]\frac{9}{6}=\frac{15}{x}[/tex]
Answer:the answer is c
Step-by-step explanation:
When calculating total gross pay, you should ___
A) use only your hourly wage
B)use your hourly wage and tips
C) use only your tips
D) use your hourly wage and tips minus any deductions
Final answer:
To calculate total gross pay, sum the hourly wage and tips earned. This sum represents the entire earnings before any deductions such as tax or social security are taken into account. Thus, option b is correct.
Explanation:
When calculating total gross pay, you should use your hourly wage and tips. The gross pay represents the total amount earned before any deductions, such as taxes or social security, are subtracted. To find the total gross pay, simply add the total amount of earned hourly wage to the amount received from tips.
For instance, if an employee receives $15 per hour and works for 8 hours and also earns $40 in tips, their gross pay for that day would be:
Hourly wage: $15/hour x 8 hours = $120
Tips: $40
So, the total gross pay would be $120 + $40 = $160 for that day.
So, option b is correct.
solve the inequality: 5x + 14 greater than or equal too 54
Answer:
5*8+14=54
Step-by-step explanation:
5*x+14= 54
so
54-14= 40
40/5=8
so x=8
Determine the slope
Y=7/1x+10
Step-by-step explanation:
do all quadratic equations have an axis of symmetry?
Answer:
Yes,Axis of Symmetry of a Parabola.The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a.
Step-by-step explanation:
Answer:yes
Step-by-step explanation:
What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
Answer:
V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases have 2 sides with a length of x. The length of they hypotenuse is unknown. The distance from the 2 triangular bases is (x + 3). The vertical height of the prism is (x + 2). What expression represents the volume of the prism, in cubic units?
One-halfx3 + x2
One-halfx3 + Three-halves x2
x3 + x2
x3 + 3x2
My answer:
Given that:
The oblique prism below has an isosceles right triangle base and the length of the base is x
=> the area of the base: 1/2 *x*x = 1/2[tex]x^{2}[/tex]
The vertical height of the prism is (x + 2)
=> The volume of the oblique prism is:
V = the base area * the vertical height
<=> V = 1/2[tex]x^{2}[/tex] (x + 2)
<=> V = [tex]1/2 x^{3}[/tex] + [tex]x^{2}[/tex]
We choose A
Answer:
A
Step-by-step explanation:
solve the inequality
|0.2x+6| <0.15
Answer:
- 30.75 < x < - 29.25
Step-by-step explanation:
Inequalities of the type | x | < a , always have solutions of the form
- a < x < a
Given
| 0.2x + 6 | < 0.15, then
- 0.15 < 0.2x + 6 < 0.15 ( subtract 6 from all 3 intervals )
- 6.15 < 0.2x < - 5.85 ( divide all intervals by 0.2 )
- 30.75 < x < - 29.25
To solve the inequality |0.2x+6| < 0.15, we split it into two separate inequalities and find that the solution for x is -30.75 < x < -29.25.
Explanation:To solve the inequality |0.2x+6| < 0.15, we first consider the absolute value function. This means we are looking for values of x that make 0.2x + 6 less than 0.15 and greater than -0.15. We split this into two separate inequalities:
0.2x + 6 < 0.150.2x + 6 > -0.15Solving the first inequality for x:
0.2x < 0.15 - 6
0.2x < -5.85
x < -5.85 / 0.2
x < -29.25
Solving the second inequality for x:
0.2x > -0.15 - 6
0.2x > -6.15
x > -6.15 / 0.2
x > -30.75
Therefore, combining the two inequalities, we find the solution for x is:
-30.75 < x < -29.25.
If ABC Is an equilateral triangle, solve for both x and y
Answer:
X=16
Y=5
Step-by-step explanation:
For equilateral triangle, length of both sides are equal hence 18y-41=3x+1=49
Solving for x
Given that 3x+1=49
Rearranging like terms
3x=49-1=48
x=48/3=16 units
Solving for y
Considering that 18y-41=49
18y=49+41=90
y=90/18=5 units
The value of x = 16 and y = 5.
Given that [tex]\( \triangle ABC \)[/tex] is an equilateral triangle, all sides are equal. Therefore, we have:
[tex]\[ AB = BC = AC \][/tex]
Given the side lengths:
[tex]\( AB = 49 \)[/tex] meters
[tex]\( BC = 3x + 1 \)[/tex] meters
[tex]\( AC = 18y - 41 \)[/tex] meters
Since [tex]\( AB = BC \)[/tex]:
[tex]\[ 49 = 3x + 1 \][/tex]
Solve for [tex]\( x \)[/tex]:
[tex]\[ 49 - 1 = 3x \][/tex]
[tex]\[ 48 = 3x \][/tex]
[tex]\[ x = \frac{48}{3} \][/tex]
[tex]\[ x = 16 \][/tex]
Next, since [tex]\( AB = AC \)[/tex]:
[tex]\[ 49 = 18y - 41 \][/tex]
Solve for [tex]\( y \)[/tex]:
[tex]\[ 49 + 41 = 18y \][/tex]
[tex]\[ 90 = 18y \][/tex]
[tex]\[ y = \frac{90}{18} \][/tex]
[tex]\[ y = 5 \][/tex]
The complete question is:
If ABC Is an equilateral triangle, solve for both x and y.
x = _____.
y = _____.
The mean of 4 data values is calculated. One of the data values is 3 above
the mean. Another value is 4 above the mean. A third value is 1 above the
mean. What is true about the fourth data value? olla
A It is 8 below the mean.
B It is 6 below the mean.
C It is equal to the mean.
D It is 2 above the mean.
Answer:
It is 2 above the mean
9514 1404 393
Answer:
A. It is 8 below the mean
Step-by-step explanation:
The sum of differences from the mean is always zero. If x is the difference from the mean that the fourth data value has, then we must have ...
3 + 4 + 1 + x = 0
x = -8 . . . . . . . . . subtract 8
The fourth data value must be 8 below the mean.
_____
Additional comment
I find this property of the mean to be very useful in solving any number of problems related to differences from an actual or a desired mean.
11) Solve the system by the elimination method. Check the solution.
x + 5y = 25
3x + 4y = 20
Step-by-step explanation:
I hope this is what you need
PLEASE MAKE ME BRAINLIEST
the diameter of a circle is 12 in. Find the circumference to the nearest tenth
please helppp
Answer:
37.68in
Step-by-step explanation:
circumference = 2πr
r= radius = diameter/2 = 12/2 =6 in
C= 2πr = 2 x 3.14 x 6= 37.68in
solve for x.
3x − 2(x + 3) = 5 − 2x
Answer:
3 2/3
Step-by-step explanation:
0.4(5x – 12) + 0.5x = 15.2
Look at the attached picture ⤴
Hope it will help u..
0.4(5x-12)+0.5x=15.2
We move all terms to the left:
0.4(5x-12)+0.5x-(15.2)=0
We add all the numbers together, and all the variables
0.5x+0.4(5x-12)-15.2=0
We multiply parentheses
0.5x+2x-4.8-15.2=0
We add all the numbers together, and all the variables
2.5x-20=0
We move all terms containing x to the left, all other terms to the right
2.5x=20
x=20/2.5
x=8
A sphere and cylinder have same radius and height the volume of cylinder is 27 which equation give volume of sphere
Answer:
the answer is A≈9160.88
Step-by-step explanation:
A=4πr2=4·π·272≈9160.88418where as a = areaAnswer:
The correct answer is A on Edge 2020.
Step-by-step explanation:
A sphere has 2/3 the volume of a cylinder given that the radius and height are equal. Because the volume of the cylinder is 27 pi (on Edge 2020), you need the equation: 2/3(27 pi) or A.
Asking easy questions so people can get points (answer must be right)
756 divided by 18 (show work)
Which is an exponential decay function?
f(x) = 3/4(7/4)
f1x) = 2/3(4/5)*
f(x)= 3/3(8/7)
f(x) = 1/3(-9/2)
Answer: f(x) = 3/2 (8/7)-x
Step-by-step explanation:
Which model shows
64
−
−
√
3
=4
643=4
?
In the equation √64 - 3 = 4, we first take the square root of 64 to get 8, then subtract 3 to get 5, NOT 4. Thus, the given equation is not accurate.
Explanation:The model to represent the mathematical expression √64 - 3 = 4 is firstly taking the square root of 64 which gives 8, and then subtracting 3 from it to get 4. The complete equation is as follows:
Take square root of 64 which is 8.Then subtract 3 from 8, which equals 5 NOT 4, meaning the given equation is incorrect.
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at a currency exchange,11 U.S. dollars can be exchanged for 10Euros. How many Euros will you receive for 1 U.S. dollars?
Answer:
.92 euros
Step-by-step explanation:
Answer:
$0.90
Step-by-step explanation:
10:11 = 1:1.1
?:1
Euros = U.S Dollars - 0.10
0.90:1
Given that a randomly chosen quadrilateral has four right
angles, what is the probability that the quadrilateral also
has four equal side lengths? Express your answer in
percent form, rounded to the nearest whole percent.
25%
33%
40%
67%
Answer: 25%
Step-by-step explanation:
Bc I’m smort boi
A randomly chosen quadrilateral has four right angles, has a probability that the quadrilateral also has four equal side lengths is 33%.
What is probability?Probability is a measure of the likelihood of an event to occur.
Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
Given is a Venn diagram,
In the Venn diagram, we can see that we have 9 elements, 6 of these belong to the set R, 3 of them belong to the set E, and 2 belong to both sets.
Now we want to find the probability that, if a figure has four right angles (belongs to R) it also has 4 equal side lengths (belongs to E).
So, given that an element belongs to R (6 elements there).
The probability that it also belongs to E,
2 out of these 6 elements belong to E, so the probability will be:
P = 2/6 = 1/3 = 0.33
To get this in percent form, we need to multiply it by 100%, we will get:
0.33x100% = 33%
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Twenty less than the product of 3 and a number is -29. What is the number?
The equation representing 'twenty less than the product of 3 and a number is -29' is 3n - 20 = -29. Solving for n, we find that n equals -3.
When solving the equation twenty less than the product of 3 and a number is -29, we can translate this into a mathematical expression as 3n - 20 = -29, where n represents the unknown number. To find the value of n, add 20 to both sides of the equation, which gives us 3n = -9. Dividing both sides by 3, we find that n = -3. Thus, the number we are looking for is -3.
If a line is 10 feet long but needs to be enlarged 150%, how long will the new line be?
Answer:
23
Step-by-step explanation:
find 10 percent and times the rest
The number e is an irrational number approximately equal to 2.718 between which pair of square roots does e fall
Answer:
It falls between √7 and √8
Step-by-step explanation:
Please kindly check the attached file for explanation.
I NEED HELP, I NEED TO SHOW WORK
Answer: 9 over 12 is = 15 over x
Step-by-step explanation:
What is the circumference of the base?
A)37.23
B)40.80
C)43.96
D)52.34
Answer:
43.96 or c
Step-by-step explanation: formula is d times pi and that gives you c hope this helps god bless