If the tubing size delivers 15 drops per gtt/ml, then the drip rate is 7 gtt/min.
What is the Drip rate and How can u calculate it?
This easy calculation can be used to determine the IV drip rate: Total Volume (mL)/Time (min) x Drop Factor (gtt/mL) equals IV Drip Rate (gtt/min) When given the volume to be injected, the drip rate, and the drop factor, this equation can also be rearranged to determine the amount of time needed for an infusion.
Based on how many drops (gtt) are given to the patient each minute, the rate of an intravenous infusion is described as having an IV drip rate. The amount that needs to be infused in total, the type of tubing used (microdrip vs. macrodrip), and the length of time the infusion is scheduled to run all have an impact on this.
We will use the drip rate formula
Total Volume(mL)/Time (min) x Drop Factor(gtt/mL) = IV Drip Rate (gtt/min)
18 hours = 18 × 60min
= 1080 mins
IV Drip Rate = 500/1080 × 15
= 7 gtt/ min
To know more about the Drip rate
https://brainly.com/question/29714014
#SPJ1
Annual cost of insurance: $4,160. Employer pays 80 percent. 52 pay periods. Find the deduction per pay period.
Bob has 42 cookies and he wants to give all his cookies away to each of his six friends if he gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies identify the error in Bob’s conclusion 
Bob divided incorrectly, 42÷6 = 7 is correct.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that the Bob has 42 cookies and he wants to give all his cookies away to each of his six friends.
Which means Bob has to split 42 cookies among his 6 friends equally.
He gives each friend the same amount he concludes each friend will receive 42÷6 = 8 cookies.
Bob is incorrect if we split 42 cookies to six friends, then each friend will get 7 cookies not 8 cookies.
Hence, Bob divided incorrectly, 42÷6 = 7 is correct.
To learn more on Division click:
https://brainly.com/question/21416852
#SPJ1
need assistance please
The range is $53000
About 30 graduates made $25,00050% earn above $33,00025% of the graduates earn above $25,000The range of the starting salariesThe box and whisker plot represents the given parameter
From the plot, we have the following representations:
Least salary = 19,000
Highest salary = 72,000
The range is calculated as
Range = Highest salary - Least salary
Substitute the known values in the above equation, so, we have the following representation
Range = 72000 - 19000
Evaluate
Range = 53000
Amount made by about 30 graduatesWe have
Total graduates = 120
30 out of 120 is 1/4
This means that
30 graduates = Lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
30 graduates = 25,000
Graduates with salary of above $33000The salary of $33000 is at the median position
This means that
50% earn above $33,000
25% of the graduates25% represents the lower quartile
From the plot, we have
Lower quartile = 25,000
This means that
25% of the graduates earn above $25,000
Read more about box and whisker at
https://brainly.com/question/3473797
#SPJ1
If i² = -1, then (i)(1 + 2)(2-3i)² = ?
Answer:
[tex]36-15i[/tex]
Step-by-step explanation:
[tex](i)(1+2)(2-3i)^2 \\ \\ =3i(2-3i)^2 \\ \\ =3i(9i^2 + 4 -12i) \\ \\ =3i(-9+4-12i) \\ \\ =3i(-5-12i) \\ \\ =-15i-36i^2 \\ \\ =36-15i[/tex]
6 multiply by 3 subtract 2 divide by 4 add 7
Answer:
11
Step-by-step explanation:
6x3
=18
-2
=16
divided by 4
=4
+7
=11
Answer:13.5
Step-by-step explanation:
6x3-2/4+7
First multiply 6 and 3. Then divide 2 and 4.
18-0.5+7
Then subtract 0.5 from 18 and add 7
18-0.5= 16.5
16.5+7= 13.5
A shopkeeper buys 50 pencils for 80 rupees and sells them at 40 pencils for 90find his gain or loss percent
Which matrix equation can be used to solve the system? {(2x+3y=4),(x+y=7):}
Use matrices created using the coefficients of the unknowns and their related determinants to apply Cramer's rule.
How should a matrix equation be written?Three easy actions must be taken in order to describe this system as a matrix:
First, create a matrix with all the coefficients. An acronym for this is a coefficient matrix.
Multiply this matrix by the system setup's variables in another matrix.
In another matrix, place the solutions on the other side of the equal sign.
A = [[2, 3], [1, 1]]
A_{x} = [[3, 4], [1, 7]] d
A{y} = [[2, 4], [1, 7]]
det (A) = 2-3=-1
det (Ax) = 14 - 4 =10
Delta_{y} = [[2, 4], [1, 7]] det (A7), 22-2012
x = (det (Ax))/(det (A)) = 10
det (Ay) = 14 - 4 =10
To learn more about matrix refer to:
https://brainly.com/question/27929071
#SPJ1
College freshmen were asked if they were currently enrolled in Composition I. The results are shown in the table.
Males
Females
Column Totals 170
035
How many males are currently not enrolled in Composition 1?
046
Enrolled in Composition I Not enrolled in Composition I Row Totals
89
089
O 124
46
127
251
The solution is Option A.
The number of males that are not enrolled in Composition 1 is 35 males
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of males not enrolled in Composition 1 be = A
Now , the equation will be
The number of males enrolled in Composition 1 = 89 males
The number of females not enrolled in Composition 1 = 46 females
The row total of females = 127
So , the equation will be
The number of females enrolled in Composition 1 = row total of females - number of females not enrolled in Composition 1
Substituting the values in the equation , we get
The number of females enrolled in Composition 1 = 127 - 46
The number of females enrolled in Composition 1 = 81 females
Now ,
The total number of males and females enrolled = 170
Let the total number of males and females not enrolled = x
The row total of total males and females enrolled and not enrolled = 251
So , the equation will be
Total number of males and females not enrolled = row total of total males and females enrolled and not enrolled - total number of males and females enrolled
Substituting the values in the equation , we get
Total number of males and females not enrolled = 251 - 170
Total number of males and females not enrolled = 81
Now ,
The column total of males and females not enrolled = 81
So ,
The total number of males not enrolled = column total of males and females not enrolled - number of females not enrolled in Composition 1
Substituting the values in the equation , we get
The total number of males not enrolled = 81 - 46
The total number of males not enrolled = 35 males
Therefore , the value of A is 35 males
Hence ,
The number of males that are not enrolled in Composition 1 is 35 males
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Answer:
it is A
Step-by-step explanation:
The path of an arrow is given by the equation y = -0.1x² + x where x is the horizontal distance the arrow travels in yards and y is the height of the arrow in yards.
Which of the following choices is the vertex of the arrow?
O (5,5)
O
(2.5, 10)
(5, 10)
O (10, 10)
O (5, 2.5)
From the given choices, the vertex of the arrow will be equal to (5, 2.5). Hence, option D is correct.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the equation given in the question,
y = -0.1 x² + x
Substituting the values from the given options,
Firstly, check it from point (5, 5)
5 = -0.1(5)² + 5
5 = -2.5 + 5
5 ≠ 2.5, so it cannot be the answer.
Let's check from (5, 2.5)
Then,
2.5 = -0.1(5)² + 5
2.5 = -2.5 + 5
2.5 = 2.5, this one is correct.
The values obtained in this case are equivalent, or we can say that the horizontal distance the arrow travels is equal to the height of the arrow.
To know more about equation:
https://brainly.com/question/29657983
#SPJ1
What is the relationship between 5 and 20
20 is is equal to 5 multiplied by 4.
5 is equal to 20 divided by 4
can someone help me solve this step by step? I am very confused
To solve this problem, we need to use the basic trigonometric identities, which state that for any angle x:
sin^2(x) + cos^2(x) = 1
1 + tan^2(x) = sec^2(x)
1 + cot^2(x) = csc^2(x)
We can use these identities to simplify the expression (sin0 + cos0) = 2 + sec0 csc0/Sec0 CSC0. First, we note that sin0 + cos0 = 1, because sin^2(0) + cos^2(0) = 1. So, the left-hand side of the equation becomes 1 = 2 + sec0 csc0/Sec0 CSC0.
Next, we note that sec0 = 1/cos0 and csc0 = 1/sin0, so we can rewrite the right-hand side of the equation as 1 = 2 + 1/cos0 * 1/sin0 / Sec0 CSC0.
Then, we note that Sec0 = 1/cos0 and CSC0 = 1/sin0, so the right-hand side of the equation becomes 1 = 2 + 1/cos0 * 1/sin0 / 1/cos0 * 1/sin0. This simplifies to 1 = 2 + 1/cos0^2 * 1/sin0^2, which simplifies further to 1 = 2 + 1/cos0^2 / sin0^2.
Finally, we use the identity 1 + cot^2(0) = csc^2(0) to replace 1/sin0^2 with 1 + 1/cos0^2, which gives us 1 = 2 + 1/cos0^2 / (1 + 1/cos0^2). Solving for 1/cos0^2, we get 1/cos0^2 = -1. This means that cos0 = 0, which is not a valid value for the cosine function. Therefore, the original equation has no solution.
Solve this inequality for x.
Please hurry I will give brainliest
Answer:
I think its D.
Step-by-step explanation:
Step-by-step explanation:
[tex]81-1\frac{1}{5} x\leq 55\\\\[/tex]
[tex]-1\frac{1}{5}x\leq -26[/tex]
[tex]\frac{1}{5}x\geq 26\\[/tex]
[tex]x\geq 130\\[/tex]
please help! Big Points here! I really need the help!
Answer:
13.3
Step-by-step explanation:
7/200=x/380
cross multiply
7(380)=200x
2660=200x
/200 /200
13.3=x
hopes this helps please mark brainliest
keeps a farmer keeps cows in an enclosed rectangular pasture with the length of 2.2 * 10 ^ 2 ft and a width of 3.1 * 10 ^ 3 ft what is the area of the rectangular pasture
Answer:
6.82 × 10⁵ ft²-------------------------------
Use dimensions of the rectangle to find its area:
A = lwA = 2.2 × 10² × 3.1 × 10³ = (2.2×3.1) × 10²⁺³ = 6.82 × 10⁵ ft²Will mark brainliest
Find the first, second (median) and third quartiles.
1) 4, 6, 5, 6, 2, 7, 6, 8
First quartile =
Second quartile =
Third quartile =
Quartiles Worksheet
2) 17, 14, 20, 29, 12, 24, 10, 19
First quartile =
Second quartile =
Th
quartile =
3) 68, 88, 44, 68, 50, 68, 37, 50
First quartile =
Second quartile =
Third quartile =
4) 52, 60, 24, 36, 48, 52, 72
First quartile =
Second quartile =
Third quartile=
5) 102, 78, 312, 170, 250, 40, 52, 38, 125
First quartile =
Second quartile=
Third quartile=
The quartiles of each data set are explained below.
How to Find the Quartiles of a Data Set?To find the quartiles of a data set, first ordered the data. Thereafter, determine the following:
First quartile (Q1): the middle value of the first half of the dataSecond quartile (Q2): The center value that divides the data set into equal halves.Third quartile (Q3): The middle value of the second part of the data.1. Order the data set, 4, 6, 5, 6, 2, 7, 6, 8:
2, 4, 5, 6, 6, 6, 7, 8
The center of the data is between 6 and 6. Therefore, the middle = (6 + 6)/2 = 6. This means the median or second quartile = 6
Middle value of the first part of the data = (4 + 5)/2 = 4.5.
Middle value of the second part of the data = (6 + 7)/2 = 6.5
First quartile = 4.5
Second quartile = 6
Third quartile = 6.5
The same way we will also find the quartiles of the other given data set as stated below.
2. For 17, 14, 20, 29, 12, 24, 10, 19, we have:
First quartile = 13
Second quartile = 18
Third quartile = 22
3. For 68, 88, 44, 68, 50, 68, 37, 50, we have:
First quartile = 47
Second quartile = 59
Third quartile = 68
4. For 52, 60, 24, 36, 48, 52, 72, we have:
First quartile = 36
Second quartile = 52
Third quartile = 60
5. For 102, 78, 312, 170, 250, 40, 52, 38, 125, we have:
First quartile = 46
Second quartile = 102
Third quartile = 210
Learn more about the quartiles of a data set on:
https://brainly.com/question/28168026
#SPJ1
Solve the equation n/(200 - n) = 3/5
The value of n after solving the given equation comes to 75.
What are equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation.
A variable, coefficients, and constants make up an algebraic equation in most cases.
So, we have the equation:
n/(200 - n) = 3/5
Now, solve for x as follows:
n/(200 - n) = 3/5
5n = 600 - 3n
8n = 600
n = 600/8
n = 75
Therefore, the value of n after solving the given equation comes to 75.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ1
Round this number to the
nearest hundredth.
3.2369
Answer: 2.34
Step-by-step explanation:
After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.
What is the y-intercept of the line y=-2/3 x ?
a. -2/3
c. 1
b. 0
d. 3/2
D
A
C
B
Answer:
a
Step-by-step explanation: becasue i said so
Answer:
d) B => b. 0
Step-by-step explanation:
Now we have to,
→ find the y-intercept of the line.
Formula we use,
→ y = mx + b
→ b = y-intercept
Then the y-intercept is,
→ y = mx + b
→ y = (-2/3)x + 0
→ [ b = 0 ]
Hence, the y-intercept is 0.
ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
The solutions of the quadratic equation
x²-x-12=0
Answer:
[tex]x=-3, 4[/tex]
Step-by-step explanation:
[tex]x^2-x-12=0 \\ \\ (x-4)(x+3)=0 \\ \\ x=-3, 4[/tex]
Grade 7 Envision math volume 1
Answer:
The table of contents for Envision Math Volume 1 includes the following topics:
1. Whole Number Operations
2. Decimals
3. Fractions and Mixed Numbers
4. Algebraic Thinking
5. Geometry
6. Measurement
7. Data Analysis and Probability
8. Integers
9. Ratios and Proportional Relationships
10. Expressions and Equations
11. Geometric Measurement and Transformations
12. Statistics and Probability
Richard found 93 - 67 by adding up on the open number line. Is he correct? Explain. Then write an addition equation to show how you could check his work
The addition equation is 93 - 67 = 26 in the number line.
What is number line?
A number line is an image of numbers plotted on a straight line, either horizontally or vertically. We can compare numbers and execute simple arithmetic operations on them easily by writing the numbers down on a number line. The starting point of a number line is often regarded as zero (0). These numbers to the left of zero are all negative while the numbers just on right of zero are all positive. As a result, we can argue that on a number line, the value of numbers grows as we approach the right. The numbers on the right are therefore larger than the ones on the left, according to this statement.
The entire question is depicted in the picture that is attached.
Richard added 26 to 67 by first marking point 67 on the line, then adding 2 tens and 2 threes until he reached 93 as opposed to subtracting 67 to 93 by subtracting 6 tens and 7 ones starting at point 93, which results in 26.
Take note that 26 is equal to 10 plus 10 plus three additional times.
To verify his work, we add the following: 67 + 26 = 93, which is also written as 93 - 67 = 26.
Hence the addition equation is 93 - 67 = 26.
Learn more about number line, by the following link
https://brainly.com/question/12399107
#SPJ1
What is the domain of the function below?
f(x) = -3x³ + 2x² - 5
(-∞, 0.444)
[0, ∞)
(-∞, 0)
(-∞, ∞)
The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).
What is domain?
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of a function is the set of input or argument values for which the function is real and defined
The function has no undefined points nor domain constraints. Therefore, the domain is [tex]$$-\infty < x < \infty$$[/tex].
To learn more about domain visit:https://brainly.com/question/28135761
#SPJ1
Here are ten numbers:
3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?
a) The mode of the data set is 7
b) The median of the data set is 6
c) The mean of the data set is 5.2
d) The range of the data set is 7.
Given,
Ten numbered data set; 3 & 7 & 2 & 4 & 7 & 5 & 7 & 1 & 8 & 8
We have to find the following;
a) Mode;-
Mode is the number that occurs the highest number of times.
Here,
7 is the most repeating number.
b) Median;-
Finding the middle number requires sorting all the data points and choosing the center one (or if there are two middle numbers, taking the mean of those two numbers).
Here,
5 and 7 are in the middle.
So, Median = 5 + 7 = 12/2 = 6
c) Mean;-
A dataset's mean is calculated by dividing the total number of values by the sum of all the values.
Here,
Mean = 3 + 7 + 2 + 4 + 7 + 5 + 7 + 1 + 8 + 8 / 10 = 52/10 = 5.2
d) Range;-
The difference between a collection of numbers' highest and lowest values is known as the range. Subtract the distribution's lowest number from its greatest number to determine it.
Here,
Lowest number = 1
Highest number = 8
Range = 8 - 1 = 7
Therefore,
a) Mode = 7
b) Median = 6
c) Mean = 5.2
d) Range = 7
Learn more about mean, mode, median and range here;
https://brainly.com/question/15444532
#SPJ4
jermey swims 5 and 3/5 kilometers in a 7 day period he swims the same distance each day what distance does he swim in a day
Answer:
4/5 of a kilometer
Step-by-step explanation:
1 ) Turn 5 3/4 into a mixed number
5 3/5 = 28/5
2 ) Since we are trying to find the distance per day we can divide by 7/1
28/5 ÷ 7/1
3 ) The equals 4/5 which is our final answer!
Hope this helps! :)
Dascha is making a decorative table to
sell at a fair. The cost of her materials is
$80. If the table sells for $150, what is
the percent of markup?
The required percent markup is 87.5%.
Here,
The markup is the difference between the selling price and the cost price, expressed as a percentage of the cost price.
Markup = ((Selling price - Cost price) / Cost price) x 100%
In this case, the cost of materials is $80 and the selling price is $150, so the markup is:
Markup = ((150 - 80) / 80) x 100%
Markup = (70 / 80) x 100%
Markup = 0.875 x 100%
Markup = 87.5%
Therefore, the percent markup is 87.5%.
Learn more about percentages here;
https://brainly.com/question/29306119
#SPJ1
A cistern can be completely drained by a pipe It in 6 hours. It can be filled by two pipes in 4 hours and 5 hours.
respectively. How many hours will the empty cistern take to fill if all the pipes are running?
If x iS the time to fill it, which of the following equations could be used to solve for t?
© 4x + 5x - 6x = 1
) 15x + 12x - 10x = 60
O 4x + 5x = 20
NEXT QUESTION
ASK FOR
search
Rain off and
Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.
What is equation?equation: a statement that two expressions having variable- and/or number-filled expressions are equivalent. Since equations are essentially questions, the search for a way to respond to them has spurred the development of mathematics.
Here,
Let's assume that the pipelines in this instance are "a" to drain the water in 6 hours, "b" to fill the water on its own in 4 hours, and "c" to fill the water in 5 hours.
Therefore, if "a" can empty it in 6 hours, it has only completed 1/6 of the task in that time. In 6 hours, "a" would have completed 6/6 or 1 whole, the entire task, and the cistern would have been fully filled, but in 1 hour, it has only accomplished 1/6 of that.
In an hour, "b" has completed barely a quarter of the task.
In that case, "c" has only completed 1/5 of the task in an hour.
Now, assuming it took "x" hours, if "a," "b," and "c" are running, and "a" is draining while b & c filling it up.
The cistern must be filled in "x" hours, thus after 1 hour, all three have completed only 1/x of the task.
well, let's add their rates, to see what we get then.
=> 1/4 + 1/5 -1/6= 1/x
=> 15 + 20 - 10 / 60 = 1/x
=>35/60 =1/x
=> x=60/35
=>1.71 hours
Therefore , it will take 1.71 hours to fill the empty cistern if all the pipes are running.
To know more about equation , visit
https://brainly.com/question/10413253
#SPJ1
Which is the equation of a parabola with a directrix at y = −3 and a focus at (5, 3)?
The equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
What is Parabola?A parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
Given that the directrix of parabola is at y=-3.
Focus at (5, 3)
parabola with equation (x - h)² = 4p(y - k)
p = 3 because the distance from the focus to the directrix is 6 and p = 6/2.
The vertex (5, 0)
Substitute h as 5 and k as 0.
(x - 5)² = 4(3)(y - 0)
(x - 5)² = 12y
Divide both sides by 12
y=1/12(x - 5)²
Hence, the equation of a parabola with a directrix at y = −3 and a focus at (5, 3) is y=1/12(x - 5)² .
To learn more on Parabola click:
https://brainly.com/question/21685473
#SPJ1
1 inch = 3/4 feet so how many feet would be 9 inches?
Please help me:(
The number of feet in 9 inches is 6.75 feet.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 minute = 60 seconds
1 hour = 60 minutes
We have,
1 inch = 3/4 feet
Multiply 9 on both sides.
9 inches = 9 x 3/4 feet
9 inches = 27/4 feet
9 inches = 6.75 feet
9 inches = 6(3/4) feet
Thus,
The number of feet in 9 inches is 6.75 feet or 6(3/4) feet.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ1
Complete the linear equation in slope-intercept from with the slope -8 and the y-intercept (0,10)
y=______x+______
Answer:
y = -8x + 10.
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is -8 and the y-intercept is (0, 10), so the equation is y = -8x + 10.