Answer:
-3 is less than 4.
Step-by-step explanation:
The provider orders vancomycin 1 g in 250 ml 0. 9% normal saline over 2 hours every 12 hours. The selected tubing will deliver 60 gtt/ml. Solve for drops per minute. Round to the nearest whole number
The drops per minute for the vancomycin infusion is 75 drops per minute (rounded to the nearest whole number).
To solve for drops per minute, we need to know the total volume of the infusion, the time it will take to infuse, and the drop factor of the tubing.
Total volume of infusion = 250 ml
Time to infuse = 2 hours = 120 minutes
Drip factor = 60 gtt/ml
To calculate the drops per minute, we can use the formula:
(drops/min) = (total volume in ml ÷ time in minutes) x drip factor
Substituting the values we have:
(drops/min) = (250 ÷ 120) x 60
(drops/min) = 1.25 x 60
(drops/min) = 75
This is the rate at which the infusion should be administered using the selected tubing to deliver 1 g of vancomycin over 2 hours every 12 hours. It is important to ensure that the drops per minute are monitored throughout the infusion to ensure that the rate is appropriate and to avoid potential complications.
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alex has a circular rug the radius of the rug is 5 1/4 feet which is closest to the area of the rug use 22/7
The area when Alex has a circular rug the radius of the rug is 5 1/4 feet is 86.625 feet².
How to calculate the area?It should be noted that the area of a circle is given the formula:
Area of a circle = πr²
where π = 22/7
r = radius = 5 1/4
Therefore, the area will be:
Area = πr²
Area = 22/7 × (5 1/4)²
Area = 22/7 × 25 1/16
Area = 86.625 feet²
The area is 86.625 feet².
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a(n) ________ is a complicated set of possibly nonlinear equations.
A neural network is a complicated set of possibly nonlinear equations. There are at least two degrees to a nonlinear equation.
This means that a variable in the equation can only be raised to the power of two or higher. A linear equation is typically represented as y = mx + c, where x and y are variables, m is the line's slope, and c is a constant. A nonlinear equation is one in which the highest degree of any term is two or greater. Since equation 1 has the highest degree of 2, and equation 2 involves variables x and y, this is an example of a nonlinear equation. + 2x + 1 = 0, 3x + 4y = 5, etc.
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the population of weights for men attending a local health club is normally distributed with a mean of 166-lbs and a standard deviation of 26-lbs. an elevator in the health club is limited to 33 occupants, but it will be overloaded if the total weight is in excess of 5940-lbs. assume that there are 33 men in the elevator. what is the average weight beyond which the elevator would be considered overloaded? average weight
This means that if the average weight of the men in the elevator is more than 180 lbs, the elevator would be overloaded.
To determine the average weight beyond which the elevator would be considered overloaded, we can follow these steps:
Find the total weight limit for 33 occupants: 5940 lbs.
Divide the total weight limit by the number of occupants to find the average weight per person: 5940 / 33 = 180 lbs.
Now, we need to find the difference between the average weight per person (180 lbs) and the mean weight of the population (166 lbs): 180 - 166 = 14 lbs.
Since we have the difference and the standard deviation (26 lbs), we can now calculate the Z-score:
Z = (difference) / (standard deviation) = 14 / 26 ≈ 0.54.
The average weight beyond which the elevator would be considered overloaded is 180 lbs.
The corresponding Z-score for this weight is approximately 0.54.
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A. 20 B. 30 C. 23 D. 39 I need a little help with this question
Given: A table that shows the result of a survey from 35 randomly selected students at Courtney's school.
Required: To determine the number of votes Rockzilla is expected to receive from a population of 115 students at Courtney's school.
This is achieved thus:
First, we determine the probability of Rockzilla's votes as follows:
\(\begin{gathered} Prob.=\frac{Number\text{ }of\text{ }required\text{ }outcome}{Number\text{ }of\text{ }total\text{ }outcome} \\ Prob.=\frac{6}{35} \end{gathered}\)Next, we determine the number of votes Rockzilla is expected to receive as follows:
\(\begin{gathered} Expected\text{ }votes=\frac{6}{35}\times115 \\ Expected\text{ }votes\approx20 \end{gathered}\)Hence, the answer is:
\(20\)In which triangle is sinQ an irrational number?
Answer:to the right
Step-by-step explanation:sine=opposite over hypotenuse=25/sqrt(25+16) by the pythagorean theorem. Sqrt(41) is irrational
(-38) + (-4) + (-50) how do I find the answer
Answer:
Step-by-step explanation:
(-38) + (-4) + (-50) =-38-4-50
= -92
So the answer is -92
Find the midpoint of segment AB if A(3,2) and B(5, 10).
Answer:
=(1,3)
Step-by-step explanation:
this is the ans mark me as the brainliest
Suppose ∃x (¬P(x) ∧ ¬Q(x)) is false and ∀x ((¬P(x) ∧ Q(x)) → R(x)) is true. Use the rules of inference to show that ∀x (¬R(x) → P(x)) is true, where the domains of all quantifiers are the same.
using Universal Instantiation and the Contrapositive rule, we have shown that ∀x (¬R(x) → P(x)) is true.
To show that ∀x (¬R(x) → P(x)) is true using the given premises, we can use the rule of inference called Universal Instantiation and the logical law called Contrapositive.
1. Given: ∃x (¬P(x) ∧ ¬Q(x)) is false.
2. This means that for every x in the domain, ¬P(x) ∧ ¬Q(x) is true.
3. Given: ∀x ((¬P(x) ∧ Q(x)) → R(x)) is true.
4. This means that for every x in the domain, if ¬P(x) ∧ Q(x) is true, then R(x) is also true.
Now, we want to prove: ∀x (¬R(x) → P(x)) is true.
5. Suppose we have an arbitrary element a from the domain.
6. From (2), we know that ¬P(a) ∧ ¬Q(a) is true.
7. Since (¬P(a) ∧ Q(a)) → R(a) is true (from 4), it implies that if ¬P(a) ∧ Q(a) is true, then R(a) is also true.
8. If R(a) is true, then ¬R(a) is false.
9. Thus, from 8, we have ¬R(a) → P(a).
10. This holds for any arbitrary element a in the domain, so ∀x (¬R(x) → P(x)) is true.
Therefore, using Universal Instantiation and the Contrapositive rule, we have shown that ∀x (¬R(x) → P(x)) is true.
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in quadrilateral ABCD shown the two diagonals AC and BD intersect at point E
Which of the following statements, along with the given information, is both necessary and sufficient to prove that ABCD is a parallelogram?
A) AC 1 BD
B) AB CE and BE DE
C) AB CD and BS CE
D)m ABC + m/BAD - 180
Answer:
your answer is B AB CE and BE DE
So mark me as brainliest
The statements that are necessary and sufficient to prove that ABCD is a parallelogram are, (B), (C) and (D).
What is a parallelogram?A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The area of a parallelogram is base multiples by height as two triangles form a parallelogram.
From the properties of parallelograms the statements that are necessary and sufficient to prove that ABCD is a parallelogram are,
\(\overline{AE}\) ≅ \(\overline{CE}\) and \(\overline{BE}\) ≅ \(\overline{DE}\) as diagonal of a parallelogram bisect each other.
\(\overline{AB}\) ≅ \(\overline{CD}\) and \(\overline{BE}\) ≅ \(\overline{CE}\) opposite sides of a parallelogram are equal.
m∠ABC + m∠BAD is 180° as the sum of the adjacent sides in a parallelogram are supplementary.
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A train travels at 100 miles per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range.
a. the domain is time (t) and the range is distance (d).
b. the domain is time (t) and the range is 100.
c. the domain is 100 and the range is time (t).
d. the domain is distance (d) and the range is time (t)
Answer:
The answer would be, A the domain is time and the range is distance.
Step-by-step explanation:
The train is travelling at 100 miles per hour, thus the equation would be d=100t meaning that the distance equals 100 times the amount of time. Now, that means that the input is the amount of time it's been going, and the input is the domain. if the input is the domain, then the only thing left to be the input (range) is the y value, or, in this case, the d value.
Answer:
A: The domain is time (t) and the range is distance (d).
Step-by-step explanation:
the sum of three numbers is 20. the first is 4 times the sum of the other two. the secound is sevond times the third. what is the product of all three
If the sum of three numbers is 20 , then the product of all the three numbers is 28 .
In the question ,
the sum of three numbers is given as = 20 ,
let the three numbers be x₁ , x₂ and x₃ .
So , x₁ + x₂ + x₃ = 20 ,
the first number is 4 times the sum of other two ,
that is , x₁ = 4(x₂ + x₃) ;
and the second number is 7 times the third ,
that is , x₂ = 7x₃
Substituting the values from above in the sum equation ,
we get ,
4(x₂ + x₃) + 7x₃ + x₃ = 20
4(7x₃ + x₃) + 7x₃ + x₃ = 20
32x₃ + 8x₃ = 20
40x₃ = 20
x₃ = 1/2
So , x₂ = 7/2 and
x₁ = 4(7/2 + 1/2) = 32/2 = 16
So ,the product is = 16×(7/2)×(1/2)
= 28 .
Therefore , the product is 28 .
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Help needed here please help
Answer:
g(f(x))= (x+3)(x+3)
Step-by-step explanation:
f(x) =x² + 6x +7
g(x)= x + 2
1st Step: Substitute the x in g(x) =x + 2 by the value of f(x)
g(f(x))= (x² + 6x +7) + 2
g(f(x))= x² + 6x + 9
2nd Step: Simplify
g(f(x))= x² + 6x + 9
g(f(x))= (x+3)(x+3)
Using the information given, write a linear equation in
slope-intercept form:
3.
1. slope = g y-intercept = -2
Help please
Step-by-step explanation:
The slope-intercept form is one way to write a linear equation (the equation of a line). The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b. Other forms of linear equations are the standard form and the point-slope form.
Answer:
y = 9x - 2Step-by-step explanation:
Slope intercept form:
y = mx + b, where m- slope, b - y-interceptGiven:
m = 9, b = -2The equation of the line is:
y = 9x - 2find a polar equation for the curve represented by the given cartesian equatuon 4y^2=
Cartesian equation is\(4y^2 = x\ or\ y^2 = x/4\)We know that the polar equation of the form \(r = f(\Theta)\)can be obtained by converting the Cartesian equation x = g(y) into polar coordinates.
To convert the equation, \(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.
We know that \(x = r\ cos\ \Theta\) and \(y = r\ sin\ \Theta\), where r is the radial distance and θ is the polar angle.
So, the Cartesian equation can be expressed as follows:\(4(r\ sin\ \theta)^2 = r\ sin\ \theta\⇒\\\ 4r^2 sin^2 \theta = r\ cos\ \theta\⇒ \\r = 4\ cos\ \theta sin^2 \theta\)
Therefore, the polar equation for the curve represented by the given Cartesian equation is \(r = 4\ cos\ \theta\ sin^2\ \theta\).The polar equation for the curve represented by the given Cartesian equation \(x = 4y^2\ is\ r = 4\ cos\ \theta\ sin\ \theta\).
To convert the given Cartesian equation\(r = 4 \cos\ \theta \sin^2 \theta\)\(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.
Using the equation \(x = r\ cos\ \theta\)and \(y = r\ sin\ \theta\), we get \(4(r\ sin\ \theta)^2 = r\ cos\ \theta\), which simplifies to \(r = 4\ cos\ \theta \sin^2 \theta\).
Hence, the polar equation for the curve represented by the given Cartesian equation is r = 4 cos θ sin² θ.
Therefore, the polar equation for the given Cartesian equation \(x = 4y^2\)is \(r = 4\ cos \ \theta\ sin^2 \theta\).
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If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much? To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to processors being defective
Answer
Digitalis can expect to make money from selling these processors.
In the long run, they should expect to make 52.68 dollars in each processor sold
Step-by-step explanation
The expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.
In this case, we have:
• probability that the processor is not defective: 0.87 (= 87/100)
,• company's earning if the processor is not defective: $464 (company's profit)
,• probability that the processor is defective: 0.13 (= 13/100)
,• company's earning if the processor is defective: -$2700 (the negative sign indicates that the company will lose money in this case)
Therefore, the expected value is:
\(\begin{gathered} E=0.87\times464+0.13\times(-2700) \\ E=\text{ \$}52.68 \end{gathered}\)8.25% sales tax on a $233
I need help???
Answer:
233-19.2225=213.7775
Step-by-step explanation:
Answer:
8.25% of $233 should be $28.24 bringing the total to $261.24
Which of the following best describes the equation below?
2(x + 1) + 7x = $x - 20
A no real solutions
infinite number real solutions
C exactly one real solution x = 5
exactly one real solution x = -1
Answer:
c
Step-by-step explanation:
theres only that one solution
Answer:
A no real solutions
Step-by-step explanation:
since the solution of the equation leads to the elimination of the unknown x,the equation is meaningless.
In the diagram below, is circumscribed about quadrilateral ABCD . What is the value of ?
Answer:
C
Step-by-step explanation:
There's a property of cyclis quadrilaterals that say that opposite sides will add up to 180
so we have
\(5x+75=180\\\\5x=180-75\\\\5x=105\\\\x=21\)
which is option c
The general form of the equation of a circle is x2 + y2 + 8x + 22y + 37 = 0.
Answer:
The general form of a circle is :
x² + y² + 2gx + 2fy + c = 0
Step-by-step explanation:
You can always compare any equation of a circle given to you in that form to get it centre and it radius if needed.
For example: the equation you gave... x² + y² + 8x +22y +37 = 0. It centre is (h,k) (-4,-11).
16. Geometry The perimeters of the
rectangles shown are equal. What is the
perimeter of each rectangle?
n+ 0.1
n+ 0.6
2n
n
Answer:
Step-by-step explanation:Here's li\(^{}\)nk to the ansly/3fcEdSxwer:
bit.\(^{}\)
PLEASE HELP DUE IN A FEW MINUTES! THANK YOU!!
Step-by-step explanation:
5 - (-7) = 5 + 7
because 2 negatives added together make positive.
Answer:
+ 7
Step-by-step explanation:
the rule of signs for addition/ subtraction
a + (- b ) = a - b
a + (+ b) = a + b
a - (+ b) = a - b
a - (- b) = a + b
Then
5 - (- 7 ) = 5 + 7
PLEASE HELP I NEED IT QUICKLY
The solution of the equations are as follows:
A. x = 11
B. No solution
C. Many solution
D. x = 0
How to solve equations?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.
The solution of the following variables can be found as follows:
A variable is a number represented with letter in an equation. Hence, let's find the variables of the equations.
x - 4 = 1 / 2 (x + 3)
x - 4 = 1 / 2 x + 3 / 2
x - 1 / 2x = 3 / 2 + 4
1 / 2 x = 11 / 2
cross multiply
2x = 22
x = 22 / 2
x = 11
-4x = 1 / 2 (-8x + 2)
-4x = -4x + 1
-4x + 4x = 1
0 = 1
No solution
3 - 2(-3x + 1) = 6x + 1
3 + 6x - 2 = 6x + 1
1 + 6x = 6x = 1
1 - 1 = 6x - 6x
0 = 0
Many solutions
0.5(x + 3) = -3(x - 0.5)
0.5x + 1.5 = -3x + 1.5
0.5x + 3x = 1.5 - 1.5
3.5x = 0
x = 0
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Hav sum freh poits
Love ur mom
Answer:
Thank you so much
Step-by-step explanation:
Answer:
ty :>
Step-by-step explanation:
-4r>16 I need help???
Answer:
-4
Step-by-step explanation:
Well to single out the “r”, you must divide both sides by -4:
-4r>16
/-4 /-4
r<4
*remember to switch the sign because you dividing by a negative number*
calculate the first four terms of the sequence, starting with = n=1. 1=5 b1=5 =−1 1−1
The first four terms of the sequence starting with = n=1. 1=5 b1=5 =−1 1−1 are: 5, -24, 121, -604.
To generate the sequence, we can use the recursive formula:
b_n = 1 - 5*b_{n-1}
Starting with b_1 = 5, we have:
b_2 = 1 - 5*b_1 = 1 - 5*5 = -24
b_3 = 1 - 5*b_2 = 1 - 5*(-24) = 121
b_4 = 1 - 5*b_3 = 1 - 5*121 = -604
Therefore, the first four terms of the sequence are: 5, -24, 121, -604.
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Elle and Layla are collecting data on student use of the school library. They collect data samples from the same population of students. After collecting their data, they each determine the standard deviation for their data sets. Layla's standard deviation is much larger than the standard deviation from Elle's data set.
Answer:
Layla's data set has a greater spread than Elle's data set
Eplanation:
I just got it right on the test I took..
The conclusion is Layla’s data set has more outliers or extreme values than Elle’s data set.
What do you mean by standard deviation?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
We are given that;
E and L collect data on library use from same students. L’s SD > E’s SD.
Now,
Since Elle and Layla collected data samples from the same population of students, we can assume that they have the same mean for their data sets. Hence, if Layla’s standard deviation is much larger than Elle’s standard deviation, it means that Layla’s data set has more variation or dispersion than Elle’s data set. In other words, Layla’s data set has more outliers or extreme values than Elle’s data set. This could be due to random sampling error or some other factor that influenced Layla’s data collection.
Therefore, by the standard deviation the answer will be Layla’s data set has more outliers or extreme values than Elle’s data set.
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What is 3y+5x=-15 written in slope-intercept form? O y=şX+5 5 O y=-3X-5 -x O y-x-5 5 O y=-ŽX+5
Answer:
y = -5/3x - 5
Step-by-step explanation:
3y + 5x= -15
3y = -5x - 15
y = -5/3x - 5
A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
16. 1 miles
Step-by-step explanation:
Using Pythagorean Theorem,
a^2 + b^2 = c^2
Since the road that goes from his home to work directly is c^2...
Plug in the rest of the numbers
16^2 + 2^2 = c^2
256 + 4 = c^2
260 = c^2
The reverse square of 260 is
16. 1 miles
What is the sequence 6, 30, 150, 750, ____ ?
The value of the missing number and the 6th term is 3750
What is a geometric sequence?The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;
Tn = ar^n-1
From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5
Let's substitute into the formula
T5 = 6 × 5^5-1
T5= 6× 5^4
Find the value
T5 = 6 × 625
T5 = 3750
Thus, the value of the missing number and the 6th term is 3750
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