what is the prescribed dosage for a 4 yr old child, if the adult dosage is 180 milligram
Answers
In order to calculate the child's dosage, let's use the value of n = 4 and M = 180 in the formula, then we calculate the value of D:
[tex]\begin{gathered} D=\frac{n}{n+12}\cdot M \\ D=\frac{4}{4+12}\cdot180 \\ D=\frac{4}{16}\cdot180 \\ D=\frac{1}{4}\cdot180 \\ D=\frac{180}{4} \\ D=45 \end{gathered}[/tex]So the child's dosage is 45 milligrams.
Related Questions
Is AABC= ADEF? If so, name the postulate that applies.AGiven:ŁAZDZBZE
Answers
Step 1:
Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.
Step 2:
If the three angles (AAA) are congruent between two triangles, that does NOT mean that the triangles have to be congruent.
Final answer
Option A
Might not be congruent.
What is the acceleration of a 50 kg object pushed with a force of 500 newtons?10 m/s225,500 m/s2490 m/s225 m/s2
Answers
Let's use Newton's second law of motion:
F = m*a
Where:
F= Force = 500
m = mass = 50
a = acceleration
So:
500 = 50*a
Solve for a:
Divide both sides by 50:
500/50 = 50a/50
10 = a
a = 10m/s²
Find the area of the figure. Remember to label use ^2 for units squared.10 ft15 ftA=12 ft
Answers
Solution
Find the area of the figure.
Area of the figure : Area of a parallelogram = base x height
base = 15ft
height = 10ft
[tex]\begin{gathered} A=bh \\ A=(15\times10)ft^2 \\ A=150ft^2 \end{gathered}[/tex]Therefore the area of the figure = 150ft²
jared has 12 coin 4th 75 cents. 3 of the coins are worth twice as much as tge rest. construct a math argument to justify the conjecture thqt jared has 9 nickels and 3 dimes
Answers
To solve this question, we proceed as follows:
Step 1: Let x be the worth of one of the type of coins Jared has, and let y be the worth of the other type of coin
Thus:
Since 3 of the coins are of a different type, we have that:
[tex]\begin{gathered} 3x+(12-3)y=75 \\ \Rightarrow3x+9y=75 \end{gathered}[/tex]Also, since 3 of the coins are worth twice as much as the rest, we have that:
[tex]x=2y[/tex]Now, substitute for x in the first equation:
[tex]\begin{gathered} 3x+9y=75 \\ \Rightarrow3(2y)+9y=75 \\ \Rightarrow6y+9y=75 \\ \Rightarrow15y=75 \\ \Rightarrow y=\frac{75}{15} \\ \Rightarrow y=5cents \end{gathered}[/tex]Since y = 5 cents, we have that:
[tex]\begin{gathered} x=2y \\ \Rightarrow x=2(5) \\ \Rightarrow x=10cents \end{gathered}[/tex]Now, since x = 10 cents (the equivalent worth of a dime), and y = 5 cents (the equivalent worth of a nickel), we have from the first equation that:
[tex]3x+9y=75\text{cents}[/tex]From the above equation, therefore, we can conclude that Jared has nine 10 cents coins (dimes), and three 5 cents coins (nickels)
6cmA bakery sells hollow chocolate spheres. The larger diameter of eachsphere is 6 cm. The thickness of the chocolate of each sphere is 0.65 cm.Part A: What is the amount of chocolate in each hollow sphere? Stateyour answer to the nearest tenth of a cubic centimeter.o
Answers
As given by the question
There are given that the larger diameter of each sphereis 6 cm.
Now,
(A).
From the formula of volume:
[tex]V=\frac{4}{3}\pi\times r^3[/tex]Then,
[tex]\begin{gathered} V=\frac{4}{3}\pi\times r^3 \\ V=\frac{4}{3}\pi\times(3)^3 \\ V=\frac{4}{3}\pi\times27 \\ V=4\pi\times9 \\ V=113.097 \end{gathered}[/tex]Now,
From the formula without thickness:
[tex]\begin{gathered} V=\frac{4}{3}\times\pi\times r^3 \\ V=4\times\pi\times1.5 \\ V=18.8495 \end{gathered}[/tex]Then,
[tex]\begin{gathered} V=113.097-18.8495 \\ V=94.2475 \\ V=94.2cm^3 \end{gathered}[/tex]Hence, the volume of chocolate is 94.2 cm^3.
A real estate agent earned $1,625 for selling a property. If his commission rate is 5%, find the selling price of the property.
Answers
Let x be the selling price of the property, then we know that the 5% of x is $1,625.
Now, recall that the n% of an amount can be computed by multiplying the amount by
[tex]\frac{n}{100}\text{.}[/tex]Therefore:
[tex]x\times\frac{5}{100}=1625.[/tex]Solving the above equation for x, we get:
[tex]x=\frac{1625\times100}{5}\text{.}[/tex]Simplifying the above result, we get:
[tex]x=32500.[/tex]Answer:
[tex]32500[/tex]dollars.
Figure ABCDE is similar to figure VWXYZ.Solve for the side length of WX.a 1/2b. 3c. 2.5 d 2
Answers
In similar figures the ratio of corresponding sides is the same:
Corresponding sides in given figure:
AB and VW
BC and WX
CD and XY
DE and YZ
EA and ZV
As you know the length of AE and ZV and need to find the value of WX taht is correspondig side of BC, you have the next:
[tex]\frac{ZV}{EA}=\frac{WX}{BC}[/tex][tex]\frac{4}{10}=\frac{WX}{5}[/tex]You use this equation to find the length of WX:
[tex]\begin{gathered} \frac{5\cdot4}{10}=WX \\ \\ \frac{20}{10}=WX \\ \\ \\ WX=2 \end{gathered}[/tex]Then, the length of WX is 22b^2 (3a - 5b +8c)Multiply
Answers
Answer
2b² (3a - 5b + 8c)
= 6ab² - 10b³ + 16b²c
Explanation
We are told to multiply 2b² with (3a - 5b + 8c)
2b² (3a - 5b + 8c)
= 6ab² - 10b³ + 16b²c
Hope this Helps!!!
change the quadratic equation from standard from to vertex form
Answers
Answer:
[tex]y=\left[x-\left(-2\right)\right]^2+\left(-9\right)[/tex]Explanation:
Given the quadratic equation in standard form:
[tex]y=x^2+4x-5[/tex]1. Transpose the c-value to the left side of the equation.
[tex]y+5=x^2+4x[/tex]2. Complete the square of the expression on the right side of the equation to get a perfect square trinomial. Add the resulting term to both sides.
[tex]\begin{gathered} y+5+(\frac{4}{2})^2=x^2+4x+(\frac{4}{2})^2 \\ \implies y+5+(2)^2=x^2+4x+(2)^2 \end{gathered}[/tex]3. Add the numbers on the left and factor the trinomial on the right.
[tex]$ y+9=(x+2)^2 $[/tex]4. Transpose the number across to the right side to get the equation into the vertex form, y=a(x-h)²+k.
[tex]y=(x+2)^2-9[/tex]5. Make sure the addition and subtraction signs are correct to give the proper vertex form.
[tex]y=\left[x-\left(-2\right)\right]^2+\left(-9\right)[/tex]The vertex form of the given quadratic equation is:
[tex]y=\left[x-\left(-2\right)\right]^2+\left(-9\right)[/tex]
find the ratio of the primeter to the area of the square
Answers
Given data:
The given figure of square.
The perimeter of the square is,
[tex]P=4(x+3)[/tex]The area of the square is,
[tex]A=(x+3)\times(x+3)[/tex]The ratio of the perimeter to the area of the given square is,
[tex]\begin{gathered} \frac{P}{A}=\frac{4(x+3)}{(x+3)(x+3)} \\ =\frac{4}{x+3} \end{gathered}[/tex]Thus, the ratio of the perimeter to the area of the given square is 4/(x+3).
add.(7k + 3) + (3k + 2)
Answers
For each table below, describe whether the table represents a function that increasing or decreasing.
Answers
To determine the table that represents a function that is increasing, we check if the following holds.
• When x increases, f(x) increases.
In Options A, as x increases, f(x) increases.
In Options B, as x increases, g(x) decreases.
In Options C, as x increases, h(x) decreases.
In Options D, as x increases, z(x) increases.
Therefore, the table that
which is the graph of f(x)=2(3)^2
Answers
You have the folowing function:
f(x) = 2(3)ˣ
In order to determine which of the given graph belongs to f(x), you verufy if the given points of the graphs correspond to f(x). You proceed as follow:
For first graph:
x = 1
f(x) = 2(3)¹ = 2(3) = 6
The point is (1,6)
The previous point is the same that the graph has, hence, the first graph belongs to f(x) = 2(3)ˣ
Then, it is not necessary to check the other points becasue they are not agree with f(x)
Solve the compound inequality.3x + 12 ≥ –9 and 9x – 3 ≤ 33 x ≥ –7 and x ≤ –4x ≥ 7 and x ≤ 4x ≥ 1 and x ≤ 4x ≥ –7 and x ≤ 4
Answers
To solve this problem, we will solve each inequality for x and the solution to the system will be the intersection of the solution sets.
1) Solving the first inequality for x we get:
[tex]\begin{gathered} 3x+12\ge-9, \\ 3x\ge-9-12, \\ 3x\ge-21, \\ x\ge-\frac{21}{3}, \\ x\ge-7. \end{gathered}[/tex]2) Solving the second inequality for x we get:
[tex]\begin{gathered} 9x-3\le33, \\ 9x\le33+3, \\ 9x\le36, \\ x\le\frac{36}{9}, \\ x\le4. \end{gathered}[/tex]Answer:
[tex]x\ge-7\text{ and x }\le4.[/tex]Which of the following graphs represents the equation 3x + 2y = 24?
Answers
Answer:
C
Step-by-step explanation:
if x=0
2y = 24
2/2 y = 24/2
y = 12
if y =0
3x = 24
3/3 x = 24/3
x = 8
2.2Determine the value of n for which (3k - 2) = 70
Answers
The value of k is 24.
From the question, we have
(3k - 2) = 70
(3k) = 72
k=24
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
Complete question: Determine the value of k for which (3k - 2) = 70
To learn more about subtraction visit: https://brainly.com/question/2346316
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Claire has 11/12pound of butter. She will use 5 /12 pound of butter to make cookies She estimates she will have 1 /2 pound of butter when she is finished. Is Claire correct?
Answers
Explanation:
We have to substract 5/12 from 11/12:
[tex]\frac{11}{12}-\frac{5}{12}=\frac{11-5}{12}=\frac{6}{12}[/tex]And simplify the fraction:
[tex]\frac{6}{12}=\frac{1}{2}[/tex]Answer:
Claire is correct, she'll have 1/2 pound of butter.
Instructions: Find the missing angle. Round your answer to the nearesttenth.
Answers
ANSWER
[tex]x=65.9^o[/tex]EXPLANATION
We are given a right-angled triangle.
We have that the hypotenuse is 46.
The side opposite the given angle is 42.
The angle given is x.
To solve this, we can use trigonometric ratios SOHCAHTOA.
We will use the SOH part of it:
[tex]\sin (x)\text{ = }\frac{opposite}{hypotenuse}[/tex]So, we have that:
[tex]\begin{gathered} \sin (x)\text{ = }\frac{42}{46} \\ \sin (x)\text{ = 0.9130 } \\ \text{ Find the sine inverse (sin}^{-1})\text{ of 0.9130 to get x:} \\ x=sin^{-1}(0.9130) \\ x=65.9^o \end{gathered}[/tex]That is the value of the missing angle x.
Find the distance between the points ( 3,1 ) and (9,9). Write answers as a whole number or a fully simplified radical expression. Do not round
Answers
The distance between two points (x1, y1) and (x2, y2) can be calculated as follows:
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]The points are given: (3, 1) and (9, 9), thus:
[tex]d=\sqrt[]{(9-3)^2+(9-1)^2}[/tex]Operating:
[tex]\begin{gathered} d=\sqrt[]{6^2+8^2} \\ d=\sqrt[]{36+64} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}[/tex]The distance is 10
MathTaAngel LoweA coin is tossed. What is the theoretical probability of the coin NOT showing tails?P(Not tails) =
Answers
Since is a theoretical probability, the probability of a coin showing heads (no tails) should be somewhere around 50%.
A coin toss has two possible results.
50% tails
50% heads
for the function what are the possible values for B if the function is an exponential decay function select the two right answers
Answers
In order for the function to represent an exponential decay, the value of b needs to be a value between 0 and 1.
So analysing each value, we have:
√(0.9)
Since 0.9 is lesser than 1, its square root is also lesser than 1, so this is a valid option.
1 1/5
This value is greater than 1, so it's not a valid option.
√e
The value of e is approximately 2.71, so its square root is greater than 1, so it's not a valid option.
2^-1
This value is equal to 1/2, that is, 0.5, so it's lesser than 1, therefore it's a valid option.
2-0.9999
This exp
Find the speed of each train (set up a table )
Answers
We have two trains that leave Mexico City at the same time, one to the east and the other to the west. The train that travels to the west is 10 mph slower than the other train. The diagram of the problem is:
The combined velocity is:
[tex]V_T=v+v-4=2v-4[/tex]The equation that relates the distance D between the trains and the time after t hours is:
[tex]D=V_T\cdot t[/tex]If after 1.5 hours the trains are 171 miles apart, then using the equation above:
[tex]\begin{gathered} 171=V_T\cdot1.5 \\ V_T=\frac{171}{1.5} \\ V_T=114 \\ 2v-4=114 \\ 2v=118 \\ v=59\text{ mph} \end{gathered}[/tex]Now, the speeds are:
[tex]\begin{gathered} \text{East}\colon59\text{ mph} \\ \text{West}\colon55\text{ mph} \end{gathered}[/tex]Area of a triangle = 16ft²B = 4ftH = ?
Answers
Given:
Area of a triangle, A = 16 ft²
Base of the triangle, b = 4 ft
Height of the triangle, h, is unknown.
To find the height of the triangle, h, apply the formula below:
[tex]A=\frac{1}{2}b\times h[/tex]Rewrite the formula for h.
Multiply both sides by 2:
[tex]\begin{gathered} 2A=\frac{1}{2}b\times h\times2 \\ \\ 2A=b\times h \end{gathered}[/tex]Divide both sides by b:
[tex]\begin{gathered} \frac{2A}{b}=\frac{b\times h}{b} \\ \\ \frac{2A}{b}=h \\ \\ h=\frac{2A}{b} \end{gathered}[/tex][tex]h=\frac{2A}{b}[/tex]Where,
A = 16 ft²
b = 4 ft
Substitute values into the formula and evaluate.
We have:
[tex]\begin{gathered} h=\frac{2A}{b} \\ \\ h=\frac{2(16)}{4} \\ \\ h=\frac{32}{4} \\ \\ h=8\text{ ft} \end{gathered}[/tex]Therefore, the value of h is 8 ft
ANSWER:
H = 8 ft
Helpppppppppppppppppp
Answers
Answer: The restaurant requires some additional forks in supply, there are currently 287 forks in the restaurant, and there should be at least 732.
The new forks come in sets of 10, the inequality which represents the number of sets that Peyton needs to buy is:
[tex]\begin{gathered} 10x+287\ge732\rightarrow(1) \\ \\ x\rightarrow\text{ Number of fork sets which contain 10 forks} \end{gathered}[/tex]Therefore the inequality (1) represents the number of sets of forks that Peyton needs to buy, the solution for this inequality is as follows:
[tex]\begin{gathered} 10x+287\geqslant732 \\ \\ \\ 10x\ge732-287 \\ \\ \\ 10x\ge445 \\ \\ \\ x\ge\frac{445}{10} \\ \\ \\ x\ge44.5 \end{gathered}[/tex]kareem correctly answered 85% of the questions on his math test. He missed 6 questions. How many questions were on his test
Answers
Answer:
40 questions
Explanation:
The total number of questions on his test represents 100%.
So, If he correctly answered 85% of the questions, then he missed 15% of the questions because:
100% - 85% = 15%
Therefore, 15% of the questions are equivalent to 6 questions, then we need to find the number equivalent to 100%. So 100% is equivalent to:
[tex]100\text{ \% }\times\frac{6}{15\text{ \%}}=40[/tex]Then, there were 40 questions on his test.
write the equation of the line that is perpendicular to the graph of y=3/4x-3, and whose y-intercept is -8
Answers
write the equation of the line that is perpendicular to the graph of y=3/4x-3, and whose y-intercept is -8
step 1
Find the slope of the given line
y=(3/4)x-3
the slope is m=3/4
step 2
Find the slope of the perpendicular line
REmember that
If two lines are perpendicular, then the product of their slopes is equal to -1 (inverse reciprocal)
so
the slope of the perpendicular line is
m=-4/3
step 3
Find the equation of the line
we have
m=-4/3
y-intercept is -8
so
b=-8
y=mx+b
substitute
y=-(4/3)x-8Part 2
write an equation of the line that is parallel to the graph of y=-4x-9, and whose y-intercept is 3
step 1
Find the slope of the given line
y=-4x-9
the lope is m=-4
step 2
Find the slope of the parallel line
Remember that
If two lines are parallel, then their slopes are the same
so
the slope of the parallel line is m=-4
step 3
Find the equation of the line in slope intercept form
y=mx+b
we ahve
m=-4
b=3
substitute
y=-4x+3Julian has a hundred songs on his media player he knows that 1/4 of the song or Jazz and the rest are pop which statement correctly describes the song on Julian media player
Answers
100 songs
1/4 of those are Jazz songs and the rest 3/4 are Pop songs
1/4=0.25
3/4=0.75
To know how many Jazz songs are multiply 100*0.25= 25 Jazz songs
Pop songs: 100*0.75= 75 pop songs
The u.s system of weighs and measureenter the maximim number of whole feet and then the remaining inches. Simply your answer
Answers
One foot is 12 inches. So the maximum number of feet that fit into 78 inches is the quotient of the division of 78 by 12.
[tex]\frac{78}{12}[/tex]The above division gives us 6 whole feet and 6 inches.
Hence, the door is 6 feet and 6 inches high.
Lesson 6: Relate Division and Multiplication Cool-down: A Different Relay Race 1. Lin and Han ran a 5 mile relay race as a team. They each ran the same distance. Dras diagram to represent the situation.
Answers
Lin and Han ran a 5 miles relay race.
If they both ran same distance, that means each of them ran;
[tex]\frac{1}{2}(5\text{miles)}=2.5\text{miles}[/tex]So, Lin and Han ran 2.5miles each.
The diadramatic representation of this scenario is;
The image above shows a track race of 5 miles divided into two. LIN ran half of it (2.5 miles) and also Han ran the other half, also (2.5 miles)
Ciara has a bag of 50 colored marbles. There are yellow, green, and white marbles. She empties the bag, sorts the marbles, and counts11 yellow marbles and 19 green marbles. She wants to write a ratio of the number of green marbles to the number of white marbles. How can she find the number ofwhite marbles without counting them?
Answers
The total number of marbles is, 50.
11 yellow marbles
19 green marbles
x be the number of white marbles.
Without counting, x can be calculated as,
[tex]\begin{gathered} 11+19+x=50 \\ x=50-11-19=20 \end{gathered}[/tex]Therefore the ratio of green marbles to white marbles is,
[tex]\frac{G}{W}=\frac{19}{20}[/tex]Thus option B is correct.