9514 1404 393
Answer:
[[. . 3 6 .][1 3 4 9 .][9 2 . 7 1][. 1 2 8 3][. 4 9 . . ]]
Step-by-step explanation:
It is helpful to remember that the first four digits {1, 2, 3, 4} total 10, and the last four digits {6, 7, 8, 9} total 30. It is also worthwhile to note that the smallest sum of two digits is 3 = 1+2, and the largest sum of 2 digits is 17 = 8+9. Some sums can only be made one way: 4 = 1+3, 16 = 7+9.
Here, we will refer to rows 1-5 from the top down, and columns 1-5 from the left to right.
__
Based on the above, column 5 can only be made one way: 1+3. Column 4 can only be made one way: 9+8+7+6. Then the choices for row 3B will be 1+7 or 5+3. We know it can't be 5+3 because 5 is not part of column 4. This makes our first fill-in (row, column) be (3,4)=7, (3,5)=1, (4,5)=3.
The sum of the remaining cells in row 4 must be 14-3 = 11, and cell (4,4) must be 6, 8, or 9. It cannot be 9, because that would require the remaining two cells to have a sum of 2, which they cannot. So, cell (4,4) is 6 or 8.
Cell (1,4) cannot be 9, either, because we cannot use 0 in cell (1,3). Then the only place for 9 in column 4 is in cell (2,4)=9.
With cell (1,4) being restricted to 6 or 8 (the two remaining numbers in column 4, cell (1,3) must be 3 or 1, and cell (2,3) must be 4 or 6. It cannot be 6 because that would require a sum of 2 in the first two cells of row 2, so (2,3)=4, (1,3)=3, and (1,4)=6. This makes (4,4)=8 and the remaining two cells of row 4 must be 1 and 2. 1 cannot go in (4,3), so we must have (4,3)=2 and (5,3)=9, (5,2)=4, (4,2)=1. That leaves 2 and 3 for rows 2 and 3 of column 2. The first two cells of row 2 must total 4, so must be 1 and 3. Cell (2,2) cannot be 1, so must be 3, leaving (2,1)=1, (3,1)=9, (3,2)=2 and that completes it.
The fill-ins are ...
[. . 3 6 .]
[1 3 4 9 .]
[9 2 . 7 1]
[. 1 2 8 3]
[. 4 9 . . ]
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 aboveIf there are a total of 20 data values, with what frequency does the data value 3 occur?
Answer:
3/20=0.15
0.15*3= 0.45
0.45*20= 9
The frequency is 9
Step-by-step explanation:
The circumference of a circle is 6inches. What is the area of the circle
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.
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
Determine whether the equation is linear or not. Then graph the equation by
finding and plotting ordered-pair solutions.
y = - 2x + 3
RE
Is the equation y = - 2x + 3 linear or not?
O not linear
O linear
(Answer quickly)
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
Please help. Given formula, just plug it in to find answer.
Step-by-step explanation:
x = 2.5
(2.5 × 0.25 ) + 2= 0.625 +2
= 2.625
HELP WILL GIVE BRAINLIEST
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
Part A
Translate
Δ
A
B
C
6 units horizontally. How are the values in the ordered pairs affected by the translation?
Part B
Translate
Δ
A
B
C
−
3
units vertically. How are the values in the ordered pairs affected by the translation?
Part C
How could you determine the coordinates of the vertices of a translated image without using a graph?
Using translation concepts, it is found that:
a) For a translation 6 units horizontally, 6 is either added or subtracted to the x-coordinate of the ordered pairs.
b) For a translation 3 units vertically, 3 is either added or subtracted to the y-coordinate of the ordered pairs.
c) The coordinates of the vertices of the translated image will be given according to the following rule: (x,y) -> (x ± 6, y ± 3).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For a translation 6 units horizontally, we have that:
If it is left, x -> x - 6.If it is right, x -> x + 6.Hence 6 is either added or subtracted to the x-coordinate of the ordered pairs.
For a translation 3 units vertically, we have that:
If it is down, y -> y - 3.If it is up, y -> y + 3.Hence 3 is either added or subtracted to the y-coordinate of the ordered pairs.
The coordinates of the vertices of the translated image will be given according to the following rule: (x,y) -> (x ± 6, y ± 3).
More can be learned about translations at https://brainly.com/question/4521517
#SPJ1
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.
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
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppppppp
Answer:
2W + 56 = 78 , W = 10
Step-by-step explanation:
perimeter of rectangle = 2*the Length + 2*the Width
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
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
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
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
on one of the snowiest days in the history of buffalo new york, nearly 5 feet of snow fell in a 24-hour period. if during this time snow fell at a consistent rate, which of the following graphs best represents the snowfall in this 24-hour period?
AnswerC
Step-by-step explanation: The reason is because if you look at the four graph you gotta make sure the Y=5 and only C has that
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:
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
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
How to multiply 8 with 0.9? Show your method. Link = report.
Answer:
you multiply 8 with 0.9 easy like that
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
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.
PLEASE HELP WILL GIVE BRAINLIESTTTT
Answer:
B
Step-by-step explanation:
just f+g(x)
5/9 of a piece of metal has a mass of 7 kg. What is the mass of 2/7 of the piece of metal
Answer:
3.6 kg
Step-by-step explanation:
5/9 piece of metal has a mass=7kg
1 piece of metal has a mass =7/5/9 kg
=63/5 kg
Hence,
2/7 piece of metal has a mass=63/5*2/7
=18/5kg
=3.6 kg
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.
Confuse with this problem
Answer:
[tex]6 \frac{2}{3} [/tex] (second option)
Step-by-step explanation:
attached
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]