Answers
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341Related Questions
Mr. Hernandez divided 30 large cookies onto 4 plates. How many cookies are on each plate?
Answers
Answer:
seven and a half
Step-by-step explanation:
Can someone help me with number 18 please!!!!
Answers
Step-by-step explanation:
try general keyboardjdjdjjkdd
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answers
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
what is 3,936.58 rounded to the nearest 1,000
Answers
Answer:
936.58
Step-by-step explanation:
50 tickets need sold but only 9 have been sold what percent have been sold?
Answers
Answer:
18%
Step-by-step explanation:
What is the area of this trapezoid?
Enter your answer in the box.
= cm²
Answers
A = 440
answer...
A
=
a
+
b
2
h
=
25
+
19
2
·
20
=
440
ASAP Lots of points!! 100 points!! Which expression is equivalent to 2^4 ⋅ 2^−7?
(Remember 2 to the power of 4 x 2 to the power of -7 = 0.125)
1 over 2 to the power 11
1 over 2 to the power 3
2 to the power of 3
2 to the power of 11
you can cancel out 2^11 and 2^3
Answers
Answer:
the answer for this is:
subtract 7 from 4 to get -3
you then have 2^-3
remove the negative exponent by rewriting as 1/(2^3)
Step-by-step explanation:
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 23 by 28 ft brick patio installed
Answers
Answer:
$4884 to the nearest $.
Step-by-step explanation:
By proportion it is 2275 * (23*28) / (15*20)
= $4884
The sales tax rate is 10%. If Kyle buys a digital camera priced at $579.25, what will be the total cost including tax? Round your answer to the nearest cent:
Answers
Answer:
638.75
Step-by-step explanation:
Well you can actualy do this on a calculator If put in proporly use the 2nd button and push (sin) to get a tax percentage.
Answer:
637.17( not very sure what you mean by round to nearest cent)
Step-by-step explanation:
take the $579.25 and add 10% easiest way is on a calculator
The exterior angle of a triangle is 164 degree and one
of its interior opposite angle is 98 degree. Find the other
interior opposite angle.
Answers
Answer:
• Let the other interior angle be x
[tex]{ \rm{x + 98 \degree = 164\degree}} \\ \\ { \rm{x = 164\degree - 98\degree}} \\ \\ { \boxed{ \rm{x = 66\degree}}}[/tex]
What is the value of 7x (3 + x/4) when x= −8?
A −280
B −170
C −56
D 280
PLEASE HELP ME
Answers
Answer:
-56
Step-by-step explanation:
Equation = 7x( 3 + x/4)
f(x) = 7x( 3 + x/4)
f(-8) = 7( -8 )( 3+ -8/4 )
f(-8) = -56 ( 3+ ( - 2 ))
f(-8) = -56( 1 )
f(-8) = -56
-Chetan K
Choose the BEST estimate!
Answers
Answer:
About 300 dollars
Step-by-step explanation:
THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.
The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.
600 - 300 = 300, therefore the difference is about 300 dollars.
Hope this helps!
Select the situation that have a unit rate equivalent to 3 units to 1 unit!!??
Answers
Answer: i believe it can be c ( the water house streams 6 gallons of water in 2 minutes.
Step-by-step explanation:
i dont have explanation just the answer. and i hope that the right answer.
Answer:
C., E.
Step-by-step explanation:
A. 3/30 = 1/10 No
B. 3/6 = 1/2 No
C. 6/2 = 3/1 Yes
D. 3/3 = 1/1 No
E. 15/5 = 3/1 Yes
Answer: C., E.
Find the perimeter of the
triangle.
16% + 16) cm
(9%-11) cm
Answers
Answer:
Step-by-step explanation:
Three equal sides, so lets find one by solving for x
6x + 16 = 9x-11
-3x = -27
x = 9
6(9) + 16 = 70
9(9) - 11 = 70
70(3) = 210 cm
Please help me help please help
Answers
Answer: 1/2
Step-by-step explanation: it is 1/2 because the 2 points are 2 away on the x an is 1 on the y so it is 1/2.
Ibrahim spends 1/3 of his earnings on food and 1/4 on clothes. He then saves the rest.what fraction does he (a) spend altogether (b)save 1 What fraction does he (a) spend altogether (b) Save?
Answers
Saving = 12/12 - 7/12 = 5/12
A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
The formula for adding two fractions:
= a/b + c/d
= (ad + bc) / cd
The fraction spent altogether on food and clothes is 7/12.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Fraction of earnings spend on food:
= 1/3
Fraction of earnings spend on clothes:
= 1/4
Fraction of total spending on food and clothes.
= 1/3 + 1/4
= (4 + 3) / 12
= 7/12
The formula for adding two fractions:
= a/b + c/d
= (ad + bc) / cd
Fraction of earnings saved after spending on food and clothes.
= 1 - 7/12
= (12 - 7) / 12
= 5/12
Thus,
The fraction spent altogether on food and clothes is 7/12.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
I’m doing my math homework and I don’t understand it all. I did most of it in class but I don’t get it still so here’s the question
Question:
-4/3(3q -10)
Answers
Answer:
-4q+ 40/3
Step-by-step explanation:
three employees each clocked a different number of hours worked this week.
Which employee has the highest earnings per hour?
Answers
Answer:
?
Step-by-step explanation:
There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.
What is the product of 2.5 x 4.3?
Answers
Answer:
10.75
Step-by-step explanation:
2.5 x 4.3 = 10.75
Answer:
[tex]{ \rm{2.5 \times 4.3 = 10.75}} [/tex]
Find the y -intercept of the line with equation y=4x+6
Answers
Answer: The y-intercept of this equation is 6.
Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.
A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?
Answers
Answer:
Rounded to the nearest tenth, $.0.11 per fish stick
Step-by-step explanation:
I divided the cost of the fish sticks, $1.95, and how many in each pack, 18, so the answer was 0.10833333333... and that rounded would be $0.11
Hope this Helps
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answers
Answer:
the answer is negative two / x= -2
_________
[tex] \: [/tex]
[tex] \rm3(2x - 5) - (2x - 5 ) = 6(4x + 5)[/tex]
[tex] \rm6x - 15 - 2x - 5 = 24x + 30[/tex]
[tex] \rm4x - 20 = 24x + 30[/tex]
[tex] \rm4x - 24x = 30 + 20[/tex]
[tex] \rm - 20x = 50[/tex]
[tex] \rm \: x = \frac{50}{ - 20} [/tex]
[tex] \rm \: x = \boxed{ - 2 \frac{1}{2} }[/tex]
A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?
Answers
Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000
Simple interest
Principal × rate × timeLet her total principal = p
Stock :
Interest = 15000 × 0.07 × 1 = 1050Bond :
Interest = (p - 15000) × 0.09 = 0.09p - 1350Total interest earned :
1050 + 0.09p - 1350 = 1230
-300 + 0.09p = 1230
0.09p = 1230 + 300
0.09p = 1530
p = $17000
Hence,
Amount invested in stock at 7% = $15000
Amount invested in bond at 9% = $17000 - 15000 = $2000
Learn more : https://brainly.com/question/25297296
Write an equation for the line that passes through the given point and is parallel/perpendicular to the graph of the given point.
Parallel: Y=3x-2; (3,2)
Perpendicular: Y= -2x-1; (2,-1)
Also I will mark brainly to who explain what they did step by step
Answers
Answer:
Parallel: The slope is the same as in the previous equation. So, y=3x+b. To find the value of b, you plug in the given point, 2=3(3)+b, b=-7. So the equation is y=3x-7.
Perpendicular: The slope is the negative reciprocal when an equation is perpendicular. The negative reciprocal of -2 is 1/2. So, y=1/2x+b. To find the value of b, you plug in the given point, -1=1/2(2)+b, -1=1+b, b=-2. So the equation is y=1/2x-2.
:)
9514 1404 393
Answer:
parallel: y = 3x -7perpendicular: y = 1/2x -2Step-by-step explanation:
The given line equations are written in "slope-intercept" form.
y = mx + b . . . . . . . . . m is the slope; b is the y-intercept
If we solve this equation for b, we find ...
b = y - mx
This is useful for completing the equation of the line through a given point when the slope is known.
ParallelA parallel line will have the same slope as the given line. The given line has a slope (x-coefficient) of 3. We can find the "b" of the line through the desired point as ...
b = y -3x
b = 2 -(3)(3) = -7
The equation of the parallel line is ...
y = 3x -7
__
PerpendicularA perpendicular line will have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to. Here, the given line has a slope of -2, so the perpendicular line will have a slope of ...
-1/(-2) = 1/2
Then the y-intercept is ...
b = y -(1/2)x
b = -1 -(1/2)(2) = -2
And the equation of the perpendicular line is ...
y = 1/2x -2
__
The attached graph shows the original lines as dashed lines, and the corresponding desired lines as solid lines in the same color.
find the equations of line parallel to x-2y=6 that pass through (-4,1)
Answers
Step-by-step explanation:
Slope:(II)m= -2
y-1=-2(x+4)
y-1=-2x+8
+1. +1
Answer: y=-2x+9
******Please help me help please help me ******
Answers
9514 1404 393
Answer:
-19/7
Step-by-step explanation:
If the variation is direct, any multiplier of the m-value will also multiply the f-value.
old value × 1/7 = new value
m: 14 × 1/7 = 2
f: -19 × 1/7 = -19/7
The new value of f is -19/7.
A scuba diver is descending at an average rate of 39.8 feet per minute.
What value represents the scuba diver's elevation relative to sea level after 2.9 minutes?
Enter your answer in the box.
ft
Plzzzz help I will give u brainly
Answers
Answer: 115.42 ft
Step-by-step explanation:
fill in the blank (Geometry B)
Answers
What is the hypotenuse? 68km 51km c
Answers
Answer:
85 km
Step-by-step explanation:
[tex]68^{2} +51^{2} =c^{2}[/tex]
4,624+2,601 = [tex]c^{2}[/tex]
7,225 =[tex]c^{2}[/tex]
Square both side and you get your answer 85km
Suppose you buy a new TI-84 calculator that has a listed price of $109.99. How much will you have to pay for the calculator including Michigan sales tax of 6%
Answers
9514 1404 393
Answer:
$116.59
Step-by-step explanation:
If I had a TI-84 calculator, I could figure it out.
__
The tax is the product of tax rate and taxed amount (rounded to cents):
0.06 × $109.99 = $6.5994 ≈ $6.60
The amount you have to pay is the total of the listed price and the tax:
$109.99 +6.60 = $116.59