The nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.
Determine IV pump settingThe nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr. To calculate the infusion rate, you can use the formula:
Infusion rate (mL/hr) = Volume to be infused (mL) / Infusion time (hr)
In this case, the volume to be infused is 750 mL and the infusion time is 6 hr. Plugging these values into the formula, we get:
Infusion rate (mL/hr) = 750 mL / 6 hr = 125 mL/hr
Therefore, the nurse should set the IV pump to deliver 125 mL/hr in order to administer the D5W 750 mL IV over 6 hr.
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Determine whether the graph of each function opens upward or downward.
y=-6x²
y = 11x²
Answer: y=6x^2 opens downward. y=11x^2 opens upward
Step-by-step explanation:
-6 is a negative so it opens downward. 11 is a positive number so it will open upward.
Identify the x-intercept and y-intercept of the line 3x - 6y= - 12.
Answer: x intercept: -4, y intercept: 2 (look at the image for the solution)
Step-by-step explanation:
Answer:
x intercept: -4, y intercept: 2
Step-by-step explanation:
Find the value of each of the following :
(a) 6 1/5 % of 1.35 ml
(b) 56 7/8 % of 810m
(c) 0.56% of 15 000 L
(d) 2000% of 5￠
The value of each of the following:
(a) 0.0837 ml
(b) 460.68 m
(c) 84 L
(d) 100￠
What is percentage?The denominator of a percentage (also known as a ratio or fraction) is always 100. Ram, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test.
For 6 1/5 % of 1.35 ml
⇒ 6 1/5 % = 31/5 %
⇒ 31/5 % of 1.35 ml
= 31/(5×100) × 1.35 ml
= 0.0837 ml
For 56 7/8 % of 810 m
⇒ 56 7/8 % = 455/8 %
⇒ 455/8 % of 810 m
= 455/(8×100) × 810 m
= 460.68 m
For 0.56% of 15 000 L
⇒ 0.56% of 15 000 L
= 0.56/100 × 15 000 L
= 84 L
For 2000% of 5￠
⇒ 2000% of 5￠
= 2000/100 × 5￠
= 100￠
Hence, the answers are as follows:
(a) 0.0837 ml
(b) 460.68 m
(c) 84 L
(d) 100￠
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What is SSS in geometry
SSS" is when we know three sides of the triangle, and want to find the missing angles
Zach scores a ringer 40% of the time
Pls helppp!!! Multiple choice questions
Answer:
Step-by-step explanation:
a
In the diagram, segment AD bisects angle BAC.
Given the following segment lengths, find the value of x.
Round to the nearest tenth.
AB: 19
AC: 17
Show all your work
The length of side x is 10 units
How to determine the length of side xFrom the question, we have the following parameters that can be used in our computation:
Segment AD bisects angle BAC.
Using the above as a guide, we have the following:
BD = DC
substitute the known values in the above equation, so, we have the following representation
x = 20 - x
Evaluate the like terms
2x = 20
Divide by 2
x = 10
Hence, the value of x is 10
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Ayaan deposited $746 into a tax-free savings account. He earns 2.15% interest. How much money will he have in his account after 6 months?
The amount that Ayaan will have in his tax-free savings account after 6 months of depositing $746 at 2.15% interest is $754.02.
What is the future value?The future value refers to the present value plus the interest.
The future value for this savings account can be computed using the simple interest system since there is no compounding of interest.
The initial deposit (present value) = $746
Interest rate = 2.15%
Savings period = 6 months
Future value = $754.02 ($746 + ($746 x 2.15% x 6/12)
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lines as you need to collect the stars
Answer:
Step-by-step explanation:
a rectangular lot is 165 feet long and 90 feet wide how many feet of fencing are needed to make a diagonal fence for the lot? round to the nearest foot
Answer:
Step-by-step explanation:
To find the diagonal of a rectangular lot, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, also known as the diagonal of the rectangle) is equal to the sum of the squares of the lengths of the other two sides.
So, for a rectangular lot 165 feet long and 90 feet wide, the length of the diagonal can be calculated as follows:
d = √(165^2 + 90^2) = √(27225 + 8100) = √35325 = 189 feet
The diagonal fence for the lot would require 189 feet of fencing. To round this to the nearest foot, we would round up to 190 feet, since 189.5 is closer to 190 than 189.
Therefore, 190 feet of fencing are needed to make a diagonal fence for the lot.
Find the circumference of this circle using 3 for π.
The circumference of the circle is 30 cm.
What is circumference measured in?Any unit for measuring length can be used to calculate the circumference, including feet, miles, metres, millimetres, etc.
By substituting 3 for, we can use the following formula to determine the circle's circumference:
C = 2πr
where r is the radius and C is the circumference.
We can observe from the provided diagram that the circle's radius is 5 cm. Thus, by changing r = 5 cm and = 3 in the formula, we obtain:
C = 2(3)(5) = 30
The circle's circumference is 30 cm as a result.
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A
65%
B
Reflex Angle B =
degrees.
The measure of angle B is given as follows:
<B = 295º.
How to obtain the measure of angle B?Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.
The measures are given as follows:
<A = 65º.<B is unknown.Hence the measure of angle B is obtained as follows:
65 + <B = 360
<B = 360 - 65
<B = 295º.
Missing InformationThe diagram modeling the situation is given by the image presented at the end of the answer.
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the shorter leg of a 30-60-90 triangle is 3.4 inches long find the perimeter
Answer: 23.56 in
Step-by-step explanation:
The perimeter of the 30-60-90 triangle with a shorter leg of 3.4 inches is 16.08 inches.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
In a 30-60-90 triangle, the lengths of the sides are in the ratio of 1:√3:2, where the shortest side is opposite the 30-degree angle,
the medium side is opposite the 60-degree angle, and
the longest side is opposite the 90-degree angle.
So if the shorter leg of the triangle is 3.4 inches long, the other two sides can be found as follows:
Medium side =√3× shorter leg
= 1.732 × 3.4
= 5.88 inches
Longest side = (2 × shorter leg)
= (2 × 3.4)
= 6.8 inches
The perimeter of the triangle is simply the sum of the lengths of all three sides:
Perimeter = Shorter leg + Medium side + Longest side
= 3.4 + 5.88 + 6.8
= 16.08 inches
Therefore, the perimeter of the 30-60-90 triangle with a shorter leg of 3.4 inches is 16.08 inches.
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what the metric system of measurement is based on the number?
The metric system of measurement is based on the number 10.
This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.
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how to calculate standard deviation using ti-84
The steps to calculate standard deviation using a TI-84 calculator:
1.Enter the data into a list
2.Calculate the mean
3.Calculate the standard deviation
Here are the steps to calculate standard deviation using a TI-84 calculator:
1.Enter the data into a list: Press STAT, then ENTER, and then use the arrow keys to move to a list (e.g., L1, L2, etc.) and press ENTER. Enter the data into the list by typing each value followed by ENTER.
2.Calculate the mean: Press STAT, then RIGHT ARROW to select the CALC menu, and then select 1: 1-Var Stats. This will display a list of variables. Type the list name that contains the data and press ENTER. The calculator will display the mean value.
3.Calculate the standard deviation: From the same list in step 2, look for "Sx" or "σx" in the output. Sx stands for the sample standard deviation, and σx stands for the population standard deviation.
That's it! Now you know how to calculate standard deviation using a TI-84 calculator.
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You are making a round flower garden in your yard. The circumference of the garden will be 60 inches. What is the diameter? Use 3.14 to approximate pi. Round to the nearest tenth.
The diameter of the circular garden round to the nearest tenth will be 19.1 inches.
What is the diameter of a circle?In a circle, an infinite number of diameters can be drawn. A diameter is a straight line passing through the center and joins two points of the circumference of a circle. The length of a diameter is twice the length of the radius.
The circumference of a circle is given by C = πd, where d is the diameter of the circle and π can be taken as 3.14.
Substitute C = 60 and π = 3.14 into the above formula and find d.
60 = 3.14×d
d = 60/3.14
≈ 19.108
≈ 19.1
Therefore, the obtained answer is 19.1 inches.
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Use the distributive property to write two different expressions equal to 72
Each expression should be the product of a number and a sum. Show you
Using Distributive Property, the two expressions that is equal to 72 are
3(10+14) and 4(5+13).
What are expressions exactly?
In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. The operations includes sum, Difference, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.
Now,
The expressions using distributive property can be
3(10+14)=3*10+3*14
=30+42
=72
4(5+13)=4*5+4*13
=20+52
=72
Hence,
the two expressions that is equal to 72 are 3(10+14) and 4(5+13).
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If 0° ≤ Θ≤ 360°, then find angle(s) Θ.
1) sec Θ = undefined
Answer:
The secant function is undefined for angles where the cosine function equals zero, because dividing by zero is undefined. Therefore, we need to find the values of Θ where cos Θ = 0.
The cosine function equals zero at 90° and 270° (or π/2 and 3π/2 in radians), so we have:
cos 90° = 0, cos 270° = 0
Therefore, the angles that satisfy sec Θ = undefined are:
Θ = 90° + 360°k, Θ = 270° + 360°k
where k is an integer (positive, negative, or zero) that allows us to generate all possible angles in the range 0° ≤ Θ ≤ 360°.
So, the solutions for Θ are:
Θ = 90° + 360°k, Θ = 270° + 360°k
where k is an integer.
Step-by-step explanation:
A company sells orange juice in spherical containers that look like oranges. Each container has a surface area of approximately 50.3 sq.in. What is the volume of the container?
We can determine the radius of the container using the formula for a sphere's surface area because it resembles an orange and has a surface area of roughly 50.3 square inches:
A sphere's surface area equals [tex]4 r^2[/tex].
where r denotes the sphere's radius.
50.3 sq. = 4πr²
By multiplying both sides by 4, we obtain:
r² = 50.3 sq. / (4π)
r² ≈ 4
When we square the two sides, we obtain:
r ≈ 2
Hence, the spherical container has a radius of around 2 inches.
The volume of the container can now be calculated using the following formula:
A sphere's volume equals [tex](4/3)r^3[/tex].
Container volume = (4/3) X(23)
The container's volume is 33.5 cubic inches.
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100 points and brainliest!!!!! 2 multiple choice questions!!!!!!! you dont have to answer both if you dont want to
Answer: answer to 2nd mcq
Step-by-step explanation:
For (-6, 0): -6 + 3(0) = -6 + 0 = -6 ≥ -8 [true]
For (-1, -2): -1 + 3(-2) = -1 - 6 = -7 ≥ -8 [true]
For (-5, -1): -5 + 3(-1) = -5 - 3 = -8 ≥ -8 [true]
solve the system of equations y=4x-3 and y=-2x+9 what is x and y will give brainliest
To solve the system of equations y=4x-3 and y=-2x+9, we can set the two equations equal to each other and solve for x:
4x - 3 = -2x + 9
Adding 2x and 3 to both sides, we get:
6x = 12
Dividing both sides by 6, we get:
x = 2
Now that we have the value of x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:
y = 4x - 3
y = 4(2) - 3
y = 8 - 3
y = 5
Therefore, the solution to the system of equations is x = 2 and y = 5. The solution is the ordered pair (2, 5).
The function f(x) = 0.81x + 168.3 models the cholesterol level of an American woman as a function
of her age, x, in years. Use the function to find f(75).
A) 229.05
B) 107.55
C) 10,224.225
D) 244.11
Answer:
D) 229.05
Step-by-step explanation:
f(75) = 0.81(75) + 168.3 = 229.05
What is time complexity cheat sheet ?
A time complexity cheat sheet is a reference guide that provides an overview of the time complexity of common algorithms and operations in computer science.
Time complexity is a measure of the amount of time an algorithm takes to solve a problem, expressed in terms of the input size of the problem. It is typically denoted using Big O notation, which provides an upper bound on the amount of time an algorithm takes.
A time complexity cheat sheet can be useful for quickly determining the time complexity of an algorithm or operation, as well as for comparing the time complexity of different algorithms. Some common time complexities that may be included in a time complexity cheat sheet are:
O(1): Constant time complexity. An algorithm with O(1) time complexity takes a fixed amount of time, regardless of the input size.
O(log n): Logarithmic time complexity. An algorithm with O(log n) time complexity takes time proportional to the logarithm of the input size.
O(n): Linear time complexity. An algorithm with O(n) time complexity takes time proportional to the input size.
O(n log n): Log-linear time complexity. An algorithm with O(n log n) time complexity takes time proportional to the input size multiplied by the logarithm of the input size.
O(n^2): Quadratic time complexity. An algorithm with O(n^2) time complexity takes time proportional to the square of the input size.
O(2^n): Exponential time complexity. An algorithm with O(2^n) time complexity takes time proportional to two raised to the power of the input size.
Other time complexities may also be included, depending on the complexity of the algorithm or operation. A time complexity cheat sheet can be a helpful tool for understanding and analyzing algorithms, but it is important to remember that time complexity is not the only factor to consider when evaluating the performance of an algorithm.
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I need some help please
The simplified answer in improper fraction is -3 ¹/₅.
What is the simplified equation?To simplify the equation we will solve the equation and obtain the value of x as shown below.
7 ( x + 1 ) = 1 - 2( 5 - x )
open the bracket by multiplying by 7 and 2
7x + 7 = 1 - 10 + 2x
collect similar terms as shown below;
7x - 2x = 1 - 10 - 7
5x = -16
x = -16 / 5
x = -3 ¹/₅
Thus, the simplified answer in improper fraction is obtained by finding the value of x.
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how to filled in a unit circle?
One needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.
A unit circle is a circle with a radius of 1. It is a tool used in trigonometry to measure angles and lengths of arcs. To calculate the length of an arc, one needs to know the angle it subtends at the center of the circle. The formula for finding this length is L = rθ, where L is the length of the arc, r is the radius, and θ is the angle subtended at the center. To fill in a unit circle, one needs to first calculate the lengths of the arcs subtended by the angles in the circle. Then, one needs to connect the points where these arcs intersect the circle to form the desired shape. Finally, the angles need to be labeled to complete the unit circle.
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this is my question
The correct answer is B. 2
five friends equally shared 2 bottles of juice. Each bottle contains 1/3 liters of juice. What fraction of a bottle did each of them drink?
Answer:
2/5 bottle of juice
2/15L of juice
Step-by-step explanation:
We originally have 2 bottle of juice and each bottle contains 1/3 liter. From this, we can find that there are 2/3L of juice in total. Since five friends equally drink the juice, each of them drank 2/5 bottle of juice and 2/15L of juice.
I hope this makes sense to you. I am generally good with following up with additional questions. Feel free to leave a comment if you have any questions or you can also message me as well!
adding rational expressions with unlike denominators
The main step to add rational expressions with unlike denominators is to take least common multiple of denominator and make them like before applying the required operation.
To simplify rational expression of unlike denominators first take the least common multiple of all the denominators.Now make the unlike terms as like terms .Now add or subtract the numerator as per the given operation.For example : ( 1 / 5 ) + ( 2 / 3 )Take least common multiple of 5 and 3 is 15.( 1/ 5 ) = 3/ 15 and ( 2 / 3) = 10 / 15Add 3/15 + 10 /15 = ( 3 + 10 ) / 15Result is 13 / 15.Therefore, the addition of rational expressions with unlike denominators is simplified by taking least common multiple.
The above question is incomplete, the complete question is:
Write steps for adding rational expressions with unlike denominators with example ?
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On the coordinate plane below, plot and label each point.
The points are plotted and labeled in the graph.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given:
A graph of the coordinate plane.
The points are (0, 2), (-3, 4), (4, -6), (6, -2), (5, 5), (-3, -5), (0, -4), (4, 0), (5, 0), and (3, -6).
The points are plotted and labeled in the graph.
The required graph is given in the image below.
Therefore, all the coordinates are plotted in the graph.
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Dale's Pizza sells pizza by the slice for lunch. Today, there are 68 slices ready for lunch, including 20 slices of mushroom pizza.
What is the probability that a randomly selected slice will be a slice of mushroom pizza?
Write your answer as a fraction or whole number.
P(mushroom)
Answer:
It should be = 20/68 = 0.294117647