After converting the patient's weight from pounds to kilograms, it is multiplied by the prescribed infusion rate to calculate that approximately 50.88 mL of the IV solution should be infused each hour.
The question involves calculating the volume of IV fluid to infuse per hour based on the weight of the patient and an ordered flow rate. Given that Loc weighs 14 pounds, we need to convert his weight to kilograms to match the units given in the infusion rate (8mL/kg/hr). There are 2.2 pounds in one kilogram.
To find Loc's weight in kilograms, we divide his weight in pounds by 2.2:
Weight in kilograms =Weight in pounds / 2.2 = 14 pounds / 2.2 = 6.36 kilograms (rounded to two decimal places)
Next, we multiply Loc's weight in kilograms by the prescribed infusion rate to determine the flow rate:
Infusion volume per hour =
Weight in kilograms × Infusion rate = 6.36 kg × 8 mL/kg/hr = 50.88 mL/hr (rounded to two decimal places)
Therefore, the nurse should infuse approximately 50.88 mL of the prescribed solution each hour.
Which are true of the function f(x)=49(1/7)^x
select three options.
1) the domain is the set of all real numbers
2) the range is the set of all real numbers
3) the domain is x>0
4) the range is y>0
5) as x increased by 1, each y-value is one seventh of the previous y-value
The Option (1),(4) and (5) are correct.
Step-by-step explanation:
The function given to us is : y= f(x) =49(1/7)^x
The following statements are true regarding the above function is
As you can see that the value of y(49)is defined for all values of x , so the Domain is the set of all values of x , which is set of all real numbers.X is defined for all values of y. So the Range of all the values that y can take is also set of all real numbers greater than zero, i.e y>0.As x increased by 1, each y-value is one seventh of the previous y-valueAnswer:
The correct options are 1, 4 and 5.
Step-by-step explanation:
The general form of an exponential function is
[tex]f(x)=ab^x[/tex]
where, a is initial value and b is growth factor.
Domain of this function is all real numbers. If a>0, then range is all positive numbers.
The given function is
[tex]f(x)=49(\frac{1}{7})^x[/tex]
where, a =49 and b=1/7.
It is an exponential function. So, the domain is the set of all real numbers.
Since, a=49 which is a positive value, therefore the range is y>0.
The value of b is 1/7, it means as x increased by 1, each y-value is one seventh of the previous y-value.
Therefore, the correct options are 1, 4 and 5.
12x -3 divided by -5
Answer: 1.8x
Step-by-step explanation:
Solve for n: -4(3n+3)=5(-2-6n)-2
Answer:
n=0
Step-by-step explanation:
We want to solve for n in the equation
-4(3n+3)=5(-2-6n)-2
We expand using the distributive property to obtain:
-12n-12=-10-30n-2
We group similar terms to get:
-12n+30n=-10+12-2
We simplify to get:
18n=0
Divide through by 18 to get:
n=0
7y+1 greater than or equal to y-5
Answer:
[tex]y\geq -1[/tex]
see the explanation
Step-by-step explanation:
we know that
'The algebraic expression of the given problem is equal to
[tex]7y+1\geq y-5[/tex]
solve for y
subtract y both sides
[tex]7y+1-y\geq y-5-y[/tex]
[tex]6y+1\geq -5[/tex]
subtract 1 both sides
[tex]6y+1-1\geq -5-1[/tex]
[tex]6y\geq -6[/tex]
Divide by 6 both sides
[tex]y\geq -1[/tex]
The solution is the interval [-1,∞)
All real numbers greater than or equal to -1
4a-5b:5a+4b=1:3 then find the value of a:b
Answer:
a : b = 19 : 7
Step-by-step explanation:
Given
4a - 5b : 5a + 4b = 1 : 3
Expressing in fractional form, that is
[tex]\frac{4a-5b}{5a+4b}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3(4a - 5b) = 5a + 4b ← distribute left side
12a - 15b = 5a + 4b ( subtract 5a from both sides )
7a - 15b = 4b ( add 15b to both sides )
7a = 19b ( divide both sides by 7 )
a = [tex]\frac{19}{7}[/tex] b ( divide both sides by b )
[tex]\frac{a}{b}[/tex] = [tex]\frac{19}{7}[/tex]
That is a : b = 19 : 7
Answer:
Step-by-step explanation:
4a-5b:5a+4b=1:3
4a-5b/5a+4b=1:3cross multiply
3(4a-5b)=1(5a+4b)
12a-15b=5a+4b
Collect like terms
12a-5a=4b+15b
7a=19b
a:b=7:19
The probability that an event will not happen is P(E) = 0.57. Find the probability that the event will happen.
The probability that the event will happen is
answer:
99.43
Step-by-step explanation:
because there is a 0.57 chance something will not happen, we will fill the rest of the equation in with 100 percent subtracted by 0.57 to get 99.43. Therefore, 99.43 is the correct answer.
Final answer:
To find the probability of an event happening when the probability of it not happening is 0.57, subtract 0.57 from 1, resulting in 0.43.
Explanation:
The probability that an event will not happen is given as P(E) = 0.57. To find the probability that the event will happen, we use the formula P(A) + P(~A) = 1, where P(A) is the probability of the event happening and P(~A) is the probability of the event not happening. The probability of the event happening, therefore, is 1 - P(E) = 1 - 0.57 = 0.43.
y = A system of equations. y equals StartFraction one-half EndFraction x minus 6. x equals negative 4.x – 6
x = –4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answer:
(-4,-8) is the answer
on ed 2021 :)
hope this helps!!!!!
units.
Write the equation of a line in slope intercept
form that has a slope of
-2/3 and has a y-intercept of 7.
mira's kitchen holds up to 103.468 liters of water. round this amount to the nearest liter WORTH: 10 PTS
Answer:
It would round down to 103 liters.
Step-by-step explanation:
Which value is NOT equivalent to the other values? 1/25 0.04 4% 0.4
Let's convert them to decimals:
1/25 = 0.04
4% = 0.04
0.04 = 0.04
0.4 = 0.40.
So 0.4 is NOT equivalent to the other values.
The values 1/25, 0.04, and 4% are all equivalent to each other. The value that does not match with these is 0.4.
Explanation:The values given in the question are 1/25, 0.04, 4%, and 0.4. These values can be converted into the same format to compare them more easily.
Firstly, you can convert 1/25 into a decimal, which equals 0.04. Secondly, we can convert 4% into a decimal by dividing the number 4 by 100, which also equals 0.04. Lastly, when comparing these to 0.4, it becomes clear that 0.4 is not equivalent to the other numbers (0.04).
So, the value which is not equivalent to the others is 0.4.
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What is the value of 4x 3+4x when x=4
Final answer:
The value of 4x when x=4 is 16, and for proportions like 1:2=4:x, you'd get x=8 by cross multiplying.
Explanation:
The value of 4x when x=4 is simply 4 multiplied by 4, which equals 16. This calculation is a basic algebraic operation, and it should not be confused with more complex problems. For example, if you're trying to solve a proportion like 1:2=4:x, you'd set up a proportion to figure out the value of x. To solve for x you can use the cross multiplication method, resulting in 1x = 8, hence x = 8.
Final answer:
The value of 4x^3 + 4x when x=4 is found by substituting 4 into the expression and simplifying step by step, resulting in a final answer of 272.
Explanation:
When answering a question such as "What is the value of 4x3 + 4x when x=4," we need to substitute the value of x into the expression and simplify.
Let's break it down step-by-step:
Substitute x with 4 into the expression: 4(4)3 + 4(4).
Calculate the exponent: (4)3 = 4 x 4 x 4 = 64.
Multiply by 4: 4 x 64 = 256.
Add the second term: 256 + 4(4).
Perform the second multiplication: 4 x 4 = 16.
Add the two results together: 256 + 16.
Get the final answer: 272.
The value of 4x3 + 4x when x=4 is 272.
A farmer produces about $3000 eggs each day and sell them for $0.80 per dozen. On average, how much money does the farm get for its eggs each day?
Answer:
$200
Step-by-step explanation:
1. 3000 divided by 12 = 250
2. 250 x 0.80 = 200
i hope i helped
Sylvia is practicing for her next track meet by running laps and recording her time.For each timed practice run, Sylvia runs a total of 2000 meters.Each lap is exactly 200 meters.If Sylvia has exactly 200 meters left to run, how many laps has she completed?
Sylvia has completed 9 laps.
Step-by-step explanation:
Step 1; Sylvia runs for a total of 2000 meters. Each lap is 200 meters long. To find the number of laps remaining we need to know the total distance, the distance already covered and the distance on each lap. The distance left to run is equal to the total distance to be run - the distance already ran = 2000 - 1800 meters = 200 meters.
Step 2; The number of laps remaining = The distance left to run/distance on each lap.
The number Number of laps remaining = 200 meters/200 meters
The number of laps remaining = 1 lap.
Final answer:
To determine the number of laps a runner has completed when given the remaining distance to run and the length of each lap, multiply the number of laps by the length of one lap. Answer is 9 laps.
Explanation:
To convert the number of track laps to a distance in meters:
First, determine the length of one lap in meters (e.g., 200 meters in this case).Next, multiply the number of laps completed by the length of one lap to find the total distance covered.For Sylvia, if she has 200 meters left to run and each lap is 200 meters, she has completed a total of 9 laps (2000 total meters - 200 meters left = 1800 meters covered; 1800 meters / 200 meters per lap = 9 laps).Anybody know the answer I need help. Please
Answer:
[tex]\dfrac{p^2+9p+2}{p^2-49}[/tex]
Step-by-step explanation:
Problems like this require that you recognize that the denominator of the right term is a factor of the denominator of the left term. That is, you're supposed to know how to recognize and factor the difference of two squares.
[tex]\dfrac{5-p}{49-p^2}+\dfrac{p+1}{p-7}=\dfrac{p-5}{p^2-49}+\dfrac{p+1}{p-7}\\\\=\dfrac{p-5}{(p-7)(p+7)}+\dfrac{p+1}{p-7}\cdot\dfrac{p+7}{p+7}\\\\=\dfrac{(p-5)+(p+1)(p+7)}{(p-7)(p+7)}=\dfrac{p-5+p^2+8p+7}{p^2-49}=\dfrac{p^2+9p+2}{p^2-49}[/tex]
A car that initially cost 42,000 depreciates in value by approximately 2,000 dollars per year write an equation to represent the value in dollars, Y, of a car X years after it was purchased
Answer:y=42000-2000x
Step-by-step explanation:
Y is price so that’s be 42000 minus 2000 every year
Answer:
[tex]y=42,000 - 2000x[/tex]
Step-by-step explanation:
The y is the total value of the car after everything that needs to be taken account of has been accounted to. You're finding the y and what the price is after x amount of years. The initial amount is 42,000 so whatever the cost of the car has depreciated would be subtracted from it. 2,000 dollars per year means what ever x is for year, let's say 5. The amount of money that the car has depreciated over the course of 5 years would be 5 multiply by 2,000. Hopes this help!
Juan is waiting for the roller coaster at an amusement park. He has been told there is a 40% chance that he will have to wait more than 15 minutes. Find the probability both as a decimal and as a reduced fraction
Answer:
0.4, 2/5
Step-by-step explanation:
The probability that Juan has to wait more than 15 minutes is 0.4 and the probability that Juan doesn't have to wait for more than 15 minutes is 0.6
What is probability?Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.
Given here, there is a 40% chance that he will have to wait more than 15 minutes. Thus the probability of him waiting for more than 15 minutes is 0.4 and the probability that he has to wait less than 15 minutes is 1-0.4=0.6
Hence, P(<15)=0.6 or 3/5 and P(>15) = 0.4 or 2/5 are the probabilites for Juan
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Tina wants to run 12 3/5 miles over 7 days she wants to run the same distance each day how far must she run each day
To find out how much Tina needs to run each day, divide the total miles she wants to run by the number of days. The result is that Tina needs to run 1.8 miles each day.
Explanation:To find out how far Tina must run each day, we need to divide the total distance she plans to run by the number of days she plans to run. Tina wants to run 12 3/5 miles over 7 days. As a first step, convert her mixed number to an improper fraction. 12 3/5 is equivalent to 63/5.
Now, to find the distance she must run each day, simply divide 63/5 miles by 7 days. Carrying out this division gives us distance of 9/5 miles per day, or in decimal form, 1.8 miles per day.
So, Tina should run 1.8 miles each day to reach her goal.
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What is 4/5 times 2 1/2
Answer: 2
Step-by-step explanation:
4/5 x 2 1/2 = ?
Convert 2 1/2 to 5/2
4/5 x 5/2 = ?
Do 4 x 5, and then 5 x 2.
4 x 5 = 20
5 x 2 = 10
The new fraction is now 20/10.
You can simplify the fraction to 2.
20/10=2
Answer:
2
Step-by-step explanation
4 x 5 = 20 20/10= 2
5 x 2 = 10
i'm sorry for the bad explanation. i'm still testing the stuff. :P
hope this helps you though! :3
What is the midpoint of the segment of the segment that would be created between points L and N on a graph?
Option A:
Midpoint of LN = (2, 3)
Solution:
In the given graph we can find the coordinates of L and N.
Coordinates of L = (–2, 3)
Coordinates of N = (6, 3)
Here, [tex]x_{1}=-2, x_{2}=6, y_{1}=3, y_{2}=3[/tex]
Let us find the midpoint of the segment LN.
Midpoint formula:
[tex]$\text { Midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)[/tex]
[tex]\begin{aligned}&=\left(\frac{-2+6}{2}, \frac{3+3}{2}\right)\\&=\left(\frac{4}{2}, \frac{6}{2}\right)\\&=(2,3)\end{aligned}[/tex]
Midpoint of LN = (2, 3)
Option A is the correct answer.
Hence the coordinates of the midpoint of the line segment LN is (2, 3).
what is 489+ 9860 TELL ME SLAVES
Answer:10,349
Step-by-step explanation:
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual length of the boat if the actual width is 15 feet?
Width of the miniature model = [tex]3\frac{3}{4}[/tex] inches
Length of the miniature model = [tex]5\frac{1}{2}[/tex] inches
The actual width of the boat = 15 feet
Let us find the actual length of the boat.
Write it in a proportion form.
width of model : length of model : : width of actual : length of actual
[tex]$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x[/tex]
[tex]$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}[/tex]
Do cross multiplication.
[tex]$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}[/tex]
[tex]$\Rightarrow{\frac{15}{4}x =\frac{165}{2}[/tex]
[tex]$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}[/tex]
⇒ x = 22
Hence the actual length of the boat is 22 feet.
-WILL GIVE BRAINLY- Write an equivalent expression using the distributive property. a. 12x + 10 b. – x + 8
Answer:
Step-by-step explanation:
A) 12x+10=2(6x+5)
B) -x+8=-(x-8)
What is 28.93 in expanded form
Answer:20+8+.9+.03
Step-by-step explanation:
Final answer:
The number 28.93 in expanded form is written as 20 + 8 + 0.9 + 0.03.
Explanation:
The number 28.93 in expanded form is written as 20 + 8 + 0.9 + 0.03. To expand a decimal number, we break it down into its place values, where each digit is represented by its value in terms of tens, ones, tenths, hundredths, and so forth. In the case of 28.93, the '2' is in the tens place and represents 20, the '8' is in the ones place and represents 8, the '9' is in the tenths place and represents 0.9, and the '3' is in the hundredths place and represents 0.03.
I have to round 312016.29 to the nearest whole number what would I do??
Answer:
312016 is your correct answer
Step-by-step explanation:
carol buys a house for £234900
she pays a 10% deposit
10% of £234900
Carol needs to pay a 10% deposit for a house priced at £234900. Calculating the deposit involves applying a percentage formula, concluding that the deposit will amount to £23490.
Explanation:The subject here is mathematics, and we are dealing with a problem related to percentages. Carol is buying a house for £234900 and needs to pay a 10% deposit. To calculate a percentage, we multiply the total amount by the percentage (in this case, 10%) and divide by 100.
Using this method, we find that 10% of £234900 equals £23490. Therefore, Carol must pay a deposit of £23490 for the house she buys.
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Tickets to a play cost $12.75 per ticket plus a $12.00 fee per order online. At the box office the cost is $15.75 per ticket.
Answer:
[tex]C=12.75n+12.00\\[/tex]
[tex]C= 15.75 n[/tex]
Step-by-step explanation:
When buying tickets to a play online, they cost $12.75 per ticket plus a $12.00 fee per order. When buying tickets at the box office, they cost $15.75 per ticket. The total cost, c, of going to the play, for n people can by represented by a system of equations.
. Write a system of equations that could be used to find how many tickets you have to buy for the cost to be the same.
Let n be the number of people and C be the total cost
Play online
[tex]C=12.75n+12.00\\[/tex]
For Box office
[tex]C= 15.75 n[/tex]
These are the system of equations
To find the cost to be same , make both equations equal to each other and solve for n
The number of tickets bought which will make the online order and box office order equal is 4 tickets
How to write equationn = number of tickets soldCost of online order:
C = 12.75n + 12
Cost of box office order:
C = 15.75n
Equate both equations12.75n + 12 = 15.75n
12 = 15.75n - 12.75n
12 = 3n
n = 12/3
n = 4
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When a=2 b=3 and c=5 what is the value of a(b+c)
Show how you got the answer
Answer:
B =
Step-by-step explanation:B + C would be 8 because B=2 and C=5. 5 + 8 is 8
32h = 288 solve for h
Answer:
h= 9
Step-by-step explanation:
you divide both sides by 32
and 288 divided by 32 is 9
Please solve the following system of equations by
substitution.
y = 3x - 4 and 4x + 3y = 1
Answer:
(1 , -1)Step-by-step explanation:
y = 3x - 4 (1)
4x + 3y = 1 (2)
if we substitute y by 3x - 4 in the second equation we get
4x + 3(3x-4) = 1 ⇒ 4x + 9x - 12 = 1 ⇒ 13x = 13 ⇒ x = 1
now ,we substitute x by 1 in the first equation
y = 3(1) - 4 = 3 - 4 = -1
Find the equation of the line in gradient intercept for that has an x intercept of 3 and a y intercept of -4. Show working out
Answer:
y = (4/3)x - 4
Step-by-step explanation:
(3,0) & (0,-4)
m = (-4-0)/(0-3) = -4/-3 = 4/3
y = (4/3)x + c
c is the y-intercept which is -4
y = (4/3)x - 4