Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
help with this please lol
Answer:
x = 107
Step-by-step explanation:
44+29+107=180
a triangle equals 180 with all the degrees added together :)
What is the volume of a sphere with a radius of 6.3 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
1047.4 cm^3
Step-by-step explanation:
Answer:1047.4
Step-by-step explanation:
.
help me please :)
thank you :P
Answer: Should be 7
Step-by-step explanation:
14/2 is 7
Given f(x)=3x^2+kx+9, and the remainder when f(x) is divided by x-3 is 6, then what is the value of k?
Answer:
k = - 10
Step-by-step explanation:
6=9+3(k+9)
3(k+9)=-3
k+9= -1
k= -10
The value of k is -10.
What is Division?Division is one of the operation in mathematics where number is divided into equal parts as that of a definite number.
Given a function 3x² + kx + 9.
Divide the function with x - 3.
Do the long division process.
After doing the long division,
(3x² + kx + 9) / (x - 3), we get the quotient as 3x + (k + 9) and the remainder as 9 + 3(k + 9).
9 + 3(k + 9) = 6
3(k + 9) = -3
k + 9 = -1
k = -1 - 9
k = -10
Hence the number k has the value -10.
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Choose the correct classifacation of 4x^4-4x^3+10x^6
Answer:what’s classification
Step-by-step explanation:
What is the value of y when
IN
The value of y varies directly with x. When y = 75, x =
x is 2
A 84
B 337
С
- 162
D 168
4
В.
Answer:
I think that the answer is B , 337/5 i mean .
Good luck ^^
A cylindrical soup can has a radius of 1.9 in. and is 5.9 in. tall. Find the volume of the can.
Answer:
66.93 in^3
Step-by-step explanation:
Volume = πr^2h
=> V = 22/7*(1.9)^2*5.9 = 66.93 in^3
Find the value of x. A 65° B 32.5° C 70° D 147.5°
Answer:
A
Step-by-step explanation:
idek sorry i think its A
The distance y (in miles) that a truck travels on x gallons of gasoline is represented by the equation y=18x The graph shows the distance that a car travels. Which vehicle gets the better gas mileage?
Answer:
Car M:
50.4/2 = 25.2
car M uses up 1 gallon every 25.2 miles
Car P:
Just from the graph, you can see that it uses up 1 gallon every 30 miles
The two graphs vary the /miles slightly but it is around their zones of 25.2 and 30. It varies slightly because the cars may be traveling at a fast speed or slower speed thus using up more or less fuel by the time they've reached the recorded distances on the graphs.
Answer:
Step-by-step explanation:
........help me plz plzzzzzzzz
Answer:
a = 42 and B = 50
Step-by-step explanation:
6 x 5 = 30
6 x 7 = 42
B
7 x 10
5 x 10
Answer:
Monkey A ate 42 vegtables and monkey B ate 50 fruits
Step-by-step explanation:
There are 5 blocks of fruits and 7 of vegtables.
Monkey A ate 30 fruits; 30/5 = 6. So that means each block is worth 6 peices of food. And 6x7 = 42.
Monkey B ate 70 vegtables; 70/7 = 10. So that means each block is worth 10 peices of food. And 10x5 = 50
-----------------------------------------------------------------------------------------------------------------
Missing values
Vegtables: 42
Fruit: 50
Ben opened a savings
account with $75,
Every week he added
$20 more. Write on
equation to model this
situation.
Answer:
The equation would be y = 75 + 20x
Help pleaseeeeeeeeeee
Answer:
d
Step-by-step explanation:
A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?
8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6
Answer:
C
Step-by-step explanation:
EDGE 2021
Simplify 3.(9.).
A. 3x
B. 27x
C. 9x
D. 2 + 7x
i think your answer is B. 27x
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
A. Write a recursive rule for this series
B. Write an explicit rule for this series
C. Using the explicit formula, find the number of chairs in row 5
D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium
Answer:
The first term is 10.
The second term is 16
The third term is 22.
We can see that the first term plus 6, is:
10 + 6 = 16
Then the first term plus 6 is equal to the second term.
And the second term plus 6 is:
16 + 6 = 22
Then the second term plus 6 is equal to the third term.
A) As we already found, the recursive rule is:
Aₙ = Aₙ₋₁ + 6
B) The explicit rule is:
Aₙ = A₁ + (n - 1)*6
Such that A1 is the first term, in this case A₁ = 10
Then:
Aₙ = 10 + (n - 1)*6
C)
Now we want to find A₅, then:
A₅ = 10 + (5 - 1)*6 = 34
There are 34 chairs in row 5.
D)
Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:
C = A₀ + A₁ + ... + A₁₆
This summation can be written as:
∑ 10 + (n - 1)*6 such that n goes from 0 to 16.
The formula for the sum of the first N terms of a sum like this is:
S(N) = (N)*(A₁ + Aₙ)/2
Then the sum of the 17 rows gives:
S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.
There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.
The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]What is recursive rule?A rule defined such that its definition includes itself.
Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.
For this case, we're provided that:
Seats in rows are 10 in front, 16 in second, 22 in third, and so on.
10 , 16 , 22 , .....
16 - 10 = 6
22 - 16 = 6
...
So consecutive difference is 6
If we take [tex]T_i[/tex] as ith term of the series then:
[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]
Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]
From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]
Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]
For 5th row, putting n = 5 gives us:
[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]
If the auditorium has 17 rows, then total chairs are:
[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]
(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )
Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].
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Help I’m being timed!
Rachel bought $517 worth of clothes 12% off. What is her total? Show work.
Answer:
454.96
Step-by-step explanation:
Suppose that the total price of worth clothes equal : x
Rachel bought them with 12% off which means , Rachel bought them :
( x ) - ( 12x / 100 )
As the question told the above equation must equal 517$ , So :
( 100x / 100 ) - ( 12x / 100 ) = 517
100x - 12x / 100 = 517
88x / 100 = 517
multiply sides by 100
88x = 51700
Divide sides by 88
x = 587.5 $
Thus the total price is 587.5 $ .
In the diagram, point K is a point of tangency, MK = 720, and MN = 648. What is the radius of J
A. 76
B. 70
C. 72
D. 64
The radius of J is 76. so option A is correct.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
|AC|^2 = |AB|^2 + |BC|^2
By applying Pythagoras theorem In right triangle,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(720 + J)² = (648)² + J²
518400+ J² + 1440J = 419904 + J²
1440J = 518400- 419904
J = 76
Therefore, J = 76 units is the answer.
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Solve 5/4=x/12.
x=
Please help!
Answer: x=15
Step-by-step explanation:Step 1: Cross-multiply.
5
4
=
x
12
(5)*(12)=x*(4)
60=4x
Step 2: Flip the equation.
4x=60
Step 3: Divide both sides by 4.
4x
4
=
60
4
x=15
Answer:
x=15
the polynomial x^2+bx+15 has a factor of x-3. what is the value of b ?
Answer:
b = -8
Step-by-step explanation:
Attachment.....added.
Hope it helps :)
Write an expression to represent the following:
Two less than the product of five and a number x.?
Step-by-step explanation:
[tex]5x - 2[/tex]
...........
Answer:
2-5x
Step-by-step explanation:
let the number be x, 5 *x = 5x.
2 less means ,2 minus,
>> 2-5x.
20. Solve for x,
(x-2y) = 12
P
mathemat
I
vision oro
How do you do this?
Answer:
x= 24 and y = 6
Step-by-step explanation:
I think that the right answer
You are saving money to buy a car. You put $2500 in a savings account that pays 4% annual interest compounded monthly (hint n = 12). A. Write a function that models the amount of the money in the account over time. B. Find the cost of the car after 10 years.
Answer:
FV= $3,726.93
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,500
Interest rate (i)= 0.04/12= 0.003333 monthly
Number of periods (n)= x months
To calculate the future value giving any number of months, we need to use the following formula:
FV= PV*(1 + i)^n
For 10 years:
n=10*12= 120 months
FV= 2,500*(1.003333^120)
FV= $3,726.93
Pls help me the question is in the photo !!
Answer:
14
Step-by-step explanation:
separate the figure into two shapes. On the little one is 2x1 which the answer is 2 then on the larger shape is 6x2 which is 12 then you add 12+2 and then you get your answer
verify x+(y+z) =(x+y) +z, when x=-4/15, y=-4/5and z =17/8
Answer:
The equality is true
Step-by-step explanation:
x+(y+z)=(x+y)+z
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24
x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true
Write an equation of the line that passes through point (-1, 5) and has the slope m = 4.
Answer:
y=4x+5
Step-by-step explanation:
y=mx+c
gradient =m
y intercept=c
m=4
c=5
so
y=4x+5
Answer:
y=4x+9
Step-by-step explanation:
y=mx+b
y=4x+b
5=4(-1)+b
5=-4+b
b=9
y=4x+9
1. Five more than the product of 4 and m a. 4+m+5 b. 4m+5 c.5m+4N
Answer:
b. 4m+5
Step-by-step explanation:
Answer:
Step-by-step explanation:
(b − 7)(b + 3). SOLUTION: 4. (4n + 3)(n + 9). SOLUTION: 5. (8h − 1)(2h − 3) ... (m. 2. − 5m + 4)(m. 2. + 7m − 3). SOLUTION: 28. (x. 2. + 5x − 1)(5x. 2. − 6x + 1) ... The value of x must be greater than 4. If x = 4 ... c. SYMBOLIC For a sum of the form a + b, write an expression for the square of the sum. ... Then, for five days,.
A tree casts a shadow that is 231 cm long. Janet is 170 cm tall and she casts a shadow that is 102 cm long. How tall is the tree?
Answer:
139 cm
Step-by-step explanation:
What is the domain and range of this graph?
(Pls don’t answer if you don’t know I rly need help<3 )
Answer:
Domain is all real numbers. Range is [36- negative infinity]
A student saves $15 per week toward the purchase of a guitar. Her grandmother gives her $50 to help her reach her goal. Which function can be used to find the amount in dollars the student has saved after x weeks?
y=15x+50 it should look something like that
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores. Sunglass House sells the sunglasses go 20% off the $40 retail price. The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion. Which store has the better buy?
Answer:
Based on the calculations, the store with the better buy is The Eyewear Shoppe
Step-by-step explanation:
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.
For The Eyewear Shoppe:
The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.
Based on this promotion, you can get 2 sunglasses for $60
For Sunglass House
Sunglass House sells the sunglasses go 20% off the $40 retail price.
A Sunglass = $40 - ( 20%× $40)
= $40 - $8
= $32
Two sunglasses will cost = $32 × 2
= $64
Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe
If Jake buys 2 sunglasses from Sunglass House the total price would be $64. The Eyewear Shoppe would get you two sunglasses for $60. This means that the The Eyewear Shoppe is a better buy.