[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Which number is the exponent in 2³?[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \huge \boxed{\mathfrak{{2}^{3} }}[/tex]
In the given number (2³), the exponent will be 3.Exponents are the numbers that lie above the number to its right side. It's used to write or shorten the number to its standard form. Here, 3 acts as the cube of 2, that is, 2³ = 2 × 2 × 2 = 8. 3 is the exponent or degree of 2.Add The follwing pqr+3pqr
Answer:
4pqr
Step-by-step explanation:
because pqr is 1pqr
so 1pqr + 3pqr is
4pqr
1. The physician has ordered 1000 mL of saline to infuse at 125 mL/hr. How many hours will it take to infuse the fluid?
2. The order is 0.25 g po qid. The medication is available as 125mg /5mL. How many tsps. will be given for each dose?
3. The physician has ordered ASA 650 mg p.o. Q 4 hr. for temperature higher than 101° F. The medication is supplied in 325mg tablets. What is the maximum number of tablets the patient can receive in any 12-hour period?
The physician has ordered amoxicillin 0.1 g p.o. Q8hr. Drug available is amoxicillin oral suspension, 250 mg/5mL. How many mL will the patient receive in 24 hours?
15. ____________ Order: Kanamycin (Kantrex) 1 g po Q6hr x 4 days. Available: Kanamycin capsules, 500 mg. How many capsules will the client receive in the 4 days he is to receive this medication?
16. ____________ Three liters of IV Lactated Ringer' is ordered to be given over 12 hours. The tubing drop factor is 15gtt/mL. The IV has been running for 9 hours. 1500 mL remain. How many drops per minute are needed so that the IV finishes in the required time?
17. ____________ Order: Penicillin, 350,000 U. Available: Penicillin, 400,000 U/5 mL.
How many mL will be administered to the patient per dose?
The ratio of mass required to concentration or rate gives the number of the units or time a medicine is to be administered
The quantities and time of medication are:
1. It will take 8 hours to infuse the fluid
2. The number of tsps is approximately 2 tsps
3. The maximum number of tablets is 6 tablets
4. The patient will receive 6 mL in 24 hours
5. The client will receive 32 capsules
6. 125 drops/minute per minute are needed so that the IV finishes
7. The volume of Penicillin per dose is 4.375 mL
The reason the above values are correct is as follows:
Required;
1. The volume of saline required to infuse, V = 1000 mL
The rate at which the saline is infused, r = 125 mL/hr
The number of hours it will take to infuse the fluid, t, is given as follows;
[tex]t = \mathbf{\dfrac{V}{r}}[/tex]
Therefore;
[tex]t = \mathbf{\dfrac{1000 \ mL}{125 \ \dfrac{mL}{hr} } = 8 \ hr}[/tex]
The number of hours it will take to infuse the fluid, t = 8 hours
2. The mass in the order, m = 0.25 g
The concentration of the medication, C = 125 mg/(5 mL)
[tex]V = \mathbf{\dfrac{m}{C}}[/tex]
Therefore;
The volume of the concentration required, V, is given as follows;
[tex]V = \dfrac{0.25 \, g}{125 \times 10^{-3} \ \dfrac{mg}{5 \ mL} } = 10 \, mL[/tex]
The volume of 1 tsps = 4.92892 mL
10 mL = 1 tsps/(4.92892 mL) × 10 mL ≈ 2.03 tsps
Rounding to the nearest whole number gives;
The number of tsps to be given for each dose is approximately 2 tsps
3. The quantity the physician ordered every 4 hours = 650 mg
The quantity of the medication per tablet = 325 mg/tablet
Maximum mass the patient can take in 12 hour = 650mg × 12/4 = 1,950 mg
The maximum number of tablets the patient can receive = 1,950 mg/(325 mg/tablet) = 6 tablets
4. The mass of amoxicillin to be taken every 8 hours = 0.1 g
The concentration of the oral suspension of the drug = 250 mg/(5 mL)
The volume the patient will receive per 24 hour = (24/8)× (0.1 g/(250 mg/(5 mL)) = 6 mL
The amount in mL the patient will receive in 24 hours = 6 mL
5. The mass of Kanamycin to be taken every 6 hours = 1 g
The number of days the of medication = 4 days
The quantity of Kanamycin per capsule = 500 mg
The mass of Kanamycin required for 4 days = ((24 × 4)/6) × 1 g = 16 g
The number of capsules = (16 g)/(500 mg/capsule) = 32 capsules
The number of capsules the client will receive = 32 capsules
6. The volume of Lactated Ringer to be given in 12 hours = 3 Liters
The tubing drop factor = 15 gtt/mL = 15 drops/mL
The number of hours the IV has been running = 9 hours
The volume of IV remaining = 1,500 mL
The number of drops remaining = 1,500 mL × (15 gtt/mL) = 22,500 drops
The time remaining = 12 hour - 9 hour = 3 hours
3 hours = 3 hour × 60 minutes/hour = 180 minutes
The number of drops per minute needed is therefore;
Drops per minute needed = 22,500 drops/(180 minutes) = 125 drops/minute
7. The Penicillin required = 350,000 μ
The available Penicillin = 400,000 μ/(5 mL)
The volume of Penicillin per dose = 350,000 μ/(400,000 μ/(5 mL)) = 4.375 mL
Learn more about dosage calculation here:
https://brainly.com/question/17346881
69. The O'Brien's had $400.0 in a special
checking account for installment payments.
After paying $40.00 a month for three months
and $20.00 a month for two months. How
much was left in the account?
Hello :D
$40.00 x 3 = $120.00
$20.00 x 2 = $40.00
$120.00 + $40.00 = $160.00
$400.00 - $160.00 = $240.00
There is $240.00 left in the account.
I will give extra points
brainiest to whoever right
Step-by-step explanation:
Since the the two angles are complementary, then
[tex](3x + 2) + (5x - 14) = 90[/tex]
or
[tex]8x - 12 = 90 \Rightarrow 8x = 102[/tex]
[tex]x = 12.75[/tex]
so
[tex]\angle{YXZ} = 5(12.75) - 14 = 49.75°[/tex]
Please Hurry). Question: What is the value of x? (Will Mark Brainliest) Please only answer if you know it.
Answer:
111
Step-by-step explanation:
The sum for a 7-sided interior polygon is 900
126+158+120+125+121+139=789
900-789=111
Answer:
x = 111°
Step-by-step explanation:
x + 120+158+126+125+121+139= 900°
x + 789 = 900
x = 900 - 789
x = 111
HELP WILL GIVE BRAINLIEST
Confuse with this problem
Answer:
[tex]6 \frac{2}{3} [/tex] (second option)
Step-by-step explanation:
attached
this also somebody help me optional math
Answer:
hope it helps.stay safe healthy and happy..Can you solve this problem so that you can explain me as best as possible to understand the problem?
It is called Combined Operations with fractions and I know that some will get the name confused but I think it is the same
Answer:
Answer: 2
Step-by-step explanation:
[tex] \frac{2}{3} (4 \frac{1}{6} - \frac{7}{6} ) \\ [/tex]
express the mixed fraction into proper fraction:
[tex] { \boxed{4 \frac{1}{6} = \frac{(6 \times 4) + 1}{6} = \frac{25}{6} }}[/tex]
then solve simplify:
[tex] = \frac{2}{3} ( \frac{25}{6} - \frac{7}{6} ) \\ [/tex]
solve the bracket:
[tex] = \frac{2}{3} ( \frac{25 - 7}{6} ) \\ \\ = \frac{2}{3} ( 3)[/tex]
then simplify:
[tex] = \frac{2 \times 3}{3} \\ \\ = 2[/tex]
A telephone company offers service for a monthly fee of $35 in a charge of $.21 per minute of talking. If M represents the number of minutes a person talks in a month and C is the total monthly charge which of these is the correct relationship between M and C
Answer:
C = 35 + (0.21 × M)
Step-by-step explanation:
c = total Monthly charge
M = n of minutes.
Fred and Jimmy are brothers. Jimmys age is 5 more than twice the age of Fred. if the total of their ages is 23 years, how old is each one of them?
Answer:
Fred is 6
Jimmy is 17
Step-by-step explanation:
Jimmy's age =2x +5
Fred's age =x
x+2x+5=23
3x=23-5
3x=18
x=6
Jimmy's age =2(6)+5=17
Fred is 6
NEED HELP ASAP: WILL MARK BRAINLIEST: The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-1 to x=3.
Simplify your answer as much as possible.
Step-by-step explanation:
the change rate is expressed by y/x (like the slope of a line).
for x = -1 we get y = -3
for x = 3 we get y = 5
so, while x is changing by 4 units (-1 to +3), y changes by 8 units (-3 to +5).
the average charge rate is therefore
8/4 = 2/1 = 2
Find the nth term for the following sequences, 100,96,90,82,72.(an^2+bn+c)
9514 1404 393
Answer:
t(n) = -n^2 -n +102
Step-by-step explanation:
We can use the first 3 terms to find a, b, c.
a(1)^2 +b(1) +c = 100
a(2)^2 +b(2) +c = 96
a(3)^2 +b(3) +c = 90
Subtract the first equation from the other two:
3a +b = -4 . . . . . . [eq4]
8a +2b = -10 . . . . [eq5]
[eq5] can be reduced to
4a +b = -5 . . . . . . [eq6]
Subtracting [eq4] from [eq6] gives ...
(4a +b) -(3a +b) = (-5) -(-4)
a = -1 . . . . . . . . simplify
Filling that into [eq4], we get
3(-1) +b = -4
b = -1 . . . . . . . add 3
Putting the values for 'a' and 'b' into the first equation gives ...
-1 +-1 +c = 100
c = 102
Then the n-th term t(n) of the sequence is ...
t(n) = -n^2 -n +102
_____
Additional comment
As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...
a = d2/2b = d1 -3ac = a1 -d1 +d2This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...
a = -2/2 = -1b = -4 -3(-1) = -1c = 100 -(-4) +(-2) = 102 . . . . . as aboveA Greek mathematician named Pythagoras is said to have discovered the following number pattern. Find the next three sums by using inductive reasoning. Look for the pattern don't just add
1st row:1=1
2nd row: 1+3=4
3rd row: 1+3+5=9
4th row: 1+3+5+7=16
5th row: 1+3+5+7+9=?
6th row: 1+3+5+7+9+11=?
7th row: 1+3+5+7+9+11+13=?
Tim had a balance of -5 in his bank account. After making a deposit. he has $40 in his account. What is the overall change in his account?
Answer:
$45 added
Step-by-step explanation:
-5 + x = $40
40 - (-50) = $45
Answer:the answer is $35
Step-by-step -5-$40=$35
five friends are sharing 2.5 pizzas. how much pizza does each person get?(will give branlist)for 10 points
Answer:
2 slices
Step-by-step explanation:
please mark brainliest
Please help me with this
Answer:
a) AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP
b) ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T
c) rotated 45° CCW, reflected across a vertical line, translated
Step-by-step explanation:
The congruence relation can be written ...
ABCDE ≅ PQRST
a) Corresponding sides are ...
AB≅PQ, BC≅QR, CD≅RS, DE≅ST, EA≅TP
__
b) Corresponding angles are ...
∠A≅∠P, ∠B≅∠Q, ∠C≅∠R, ∠D≅∠S, ∠E≅∠T
__
c) ABCDE can be rotated 45° CCW, reflected across a vertical line, and translated to the position of PQRST.
Note: it looks like rotation about point D and reflection across the perpendicular bisector of DS would do the job without any additional translation.
i need help with this pls
How do you write the difference of nine times a number and eight is 64 as an equation?
Step-by-step explanation:
9x-8=64
plss mark brainliestt
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp
Answer:
2W + 56 = 78 , W = 10
Step-by-step explanation:
perimeter of rectangle = 2*the Length + 2*the Width
PLEASE HELP!!
i'm really confused on how to do this...
(this should be 50 points but sometimes the system doesn't put that in for some reason)
I have to solve this absolute value equation: |4x-3| = |x+5|
and I have to check if there is an extraneous solution and show my work. If you can please show all your steps and explain that would be so helpful!
9514 1404 393
Answer:
x = {-2/5, 2 2/3}
Step-by-step explanation:
There are several ways you can solve this. Maybe the simplest is to take advantage of the relation ...
[tex]\sqrt{x^2}=|x|[/tex]
Squaring the absolute value expression on both sides gives ...
(4x -3)^2 = (x +5)^2
15x^2 -34x -16 = 0 . . . . rewrite to standard form
(5x +2)(3x -8) = 0 . . . . . factor
x = -2/5, +8/3
__
Check
To determine if one of these solutions is extraneous, we can try them both in the original equation. We find they both satisfy the equation, so neither found solution is extraneous.
For x=-2/5, |4(-2/5)-3| = |-2/5 +5| ⇒ |-4 3/5| = |4 3/5| . . . . true
For x = 8/3, |4(8/3) -3| = |8/3 +5| ⇒ |(32 -9)/3| = |(8 +15)/3| . . . . true
_____
Additional comment
Often, we solve absolute value equations using piecewise functions:
|4x -3| = {4x -3, for x ≥ 3/4; -4x +3, for x < 3/4}
|x +5| = {x +5, for x ≥ -5; -x -5, for x < -5}
Now, we have three regions in which to look for solutions: (-∞, -5], [-5, 3/4], [3/4, ∞).
In the region (-∞, -5], the equation is ...
-4x +3 = -x -5 ⇒ x = 8/3 . . . . . no solution in the region
In the region [-5, 3/4], the equation is ...
-4x +3 = x +5 ⇒ x = -2/5 . . . . . a solution in the region
In the region [3/4, ∞), the equation is ...
4x +3 = x +5 ⇒ x = 8/3 . . . . . . a solution in the region
Note that this last equation is identical to the equation for the region (-∞, -5] with both sides multiplied by -1.
Effectively, we have found the two solutions to ±(4x -3) = (x +5). The trick is to figure whether either of those solutions lies in the region for which the respective equation is defined.
Don's clothing advertised a clothing sale. On the first day, all the clothing was marked 1/10 off. On the second day, unsold items were marked 2/5, the third day, 3/10 off, and so on.
Answer:
What is the question
Step-by-step explanation:
Solve the formula A=12bh for h when A=90 and b=15. Write the answer in decimal form.
Answer:
Given,
A=90
b=15
A=12bh
Now,
Step-by-step explanation:
Put the given value in the formula
A=12bh
90=12*15*h
90=180h
90/180=h
Hence, h=0.5
27.54 divided by 5.1
Answer:
5.4
Step-by-step explanation:
27.54 divided by 5.1 is simply 5.4
Answer:
5.4
Step-by-step explanation:
devide 27.54 to 5.1
you can use calculator so that its more easy to found out the answe
Simplify the following expressions -18x2+3x-2x2+5 the first 2 is a small and the third 2 is small
Answer:
Step-by-step explanation:
well i think the answer is -32 but you did not explain the the small 2,ment so i am not 100% sure but good luck
Evaluate the expression when c=7 and d=4.
5dtc
Answer:
27
Step-by-step explanation:
5*4=20
20+7
27
please correct if wrong ^-^
Step-by-step explanation:
=5(4*t*7)
=5(28t)
=140t
I need help with this problem please
Answer:
200
Step-by-step explanation:
15(68-60)+80
15×8=120
120+80=200
just substitute
10+ [(50 :5+6) x 3] - 4
e 34
o 50
54
I don't know
Please help ASAP
Answer:
The third one 54
Step-by-step explanation:
I hope it helps.
How to multiply 8 with 0.9? Show your method. Link = report.
Answer:
you multiply 8 with 0.9 easy like that
