Answer:
im not sure but it might V=2197cm³
Step-by-step explanation:
If you have a box of candy that is 8 inches long, 5 inches wide, and 2
inches tall, how much space do you have for candy?
find the measure of angle b
Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?
Hi-Tech, Inc., is a computer training company serving metropolitan Toronto, Canada. The firm contracts a group of part-time instructors to teach a variety of courses concurrently at its downtown location. While demand is so high that any class offered will be filled immediately, Hi-Tech is looking at only two courses at this time: Introduction to Computers (ITC) and Creation of Web Pages (CWP). Each ITC class requires 7.5 hours of preparation/instruction time and contributes a profit of $720, whereas each CWP class calls for only 3 hours and contributes $300. Available time for these two courses is limited to 56 hours a day. There is a restriction on the maximum number of trainees that can be efficiently handled. More specifically, at most 100 students can be accommodated on a daily basis without putting a strain on the facility and support staff. Additionally, each course has a class size limit - 6 for ITC and 12 for CWP. Hi-Tech would like to maximize the daily total profit from both courses so that it could offer certain other courses on a "goodwill" basis. Formulate an AILP for management to decide how many classes should be scheduled for each subject daily
What is the objective function?
Answer:
The AILP for management to decide how many classes should be scheduled for each subject daily is
The objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the first constraints to this functions is
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
Step-by-step explanation:
From the question we are told that
The time required for each ITC class is [tex]t_c = 7.5 \ hours[/tex]
The profit of each ITC class is [tex]P_c = \$ 720[/tex]
The time require for CWP class is [tex]t_w = 3 \ hours[/tex]
The profit for CWP class is [tex]P_w = \$ 300[/tex]
The total time available is [tex]t_a = 56 \ hours / day[/tex]
the maximum number of trainee that can be accommodated in a daily basis is [tex]N = 100[/tex]
The class size limit for ITC is [tex]k =6[/tex]
The class size limit for CWP is [tex]u =12[/tex]
Generally the aim of Hi-Tech is to maximize profit
So the objective function will be a function that maximizes profit
Generally the objective function is mathematically represented as
[tex]M = P_c * a + P_w * b[/tex]
=> [tex]M = 720 a + 300 b[/tex]
Now the constraints to this functions are
[tex]t_c * x + t_w * y \le t_a[/tex]
=> [tex] 7.5 x + 3 y \le 56[/tex]
Another constraints to this function is
[tex]k x + u y \le N[/tex]
=> [tex]6 x + 2 y \le 100[/tex]
Here x and y are the number of classes
1. At Doug's discount all CDs sell for the same price. There is also one price for
DVDs. Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
I know Dave's one is 13.04$ Just to get you started.
Step-by-step explanation:
If you divide Dave's one, which is 67 by 5, you get 13.05.
Do the same with Joyce's.
2/5 - 4 (5.4) solve
Answer: -106/5= −21.2
Step-by-step explanation: Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
2 - (108)/5 = -106/5
write 1/64^2 using a negative exponent
▪ Answer:
2^(-12)
▪ Step-by-step explanation:
Hi there!
1/64^2 =
= 1/(2^6)^2
= 1/2^12
= 2^(-12)
Good luck !
use
(a^b)^c = a^(b×c)
1/a^b = a^(-b)
Please help me out thanks
How do you do this question?
Answer:
a) -7/9
b) 16 / (n² + 15n + 56)
c) 1
Step-by-step explanation:
When n = 1, there is only one term in the series, so a₁ = s₁.
a₁ = (1 − 8) / (1 + 8)
a₁ = -7/9
The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.
sₙ = sₙ₋₁ + aₙ
(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ
(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ
aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)
If you wish, you can simplify by finding the common denominator.
aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]
aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)
aₙ = 16 / (n² + 15n + 56)
The infinite sum is:
∑₁°° aₙ = lim(n→∞) sₙ
∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)
∑₁°° aₙ = 1
need help............
Answer:
Answer=A
Step-by-step explanation:
(when dividing two powers we subtract the upper power by the bottom one)
[tex]\frac{7^{10} }{7^{3} }[/tex]
=[tex]7^{10-3}[/tex]
[tex]7^{7}[/tex]
The Empire State building is 1250 feet tall maria wants to make a model that has a scale of 1/4 foot equals 50 feet how tall with her model B
Answer:
6 1/4
Step-by-step explanation:
which value of x is the solution of the equation 2/3x + 1/2 = 5/6?
Answer:
2
Step-by-step explanation:
2/3(2) + 1/2 = 5/6
If it's 2/3 * X then x is equal to 1/2.
Find -5/6 / 1/2. Write in simplest form
What is the answer for 7/10=z/8 please explain steps
Answer:
5.6
Step-by-step explanation:
Step 1:
7/10 = z/8 Equation
Step 2:
10z = 56 Multiply
Step 3:
z = 56 ÷ 10 Divide
Answer:
z = 5.6
Hope This Helps :)
An adult dinner cost 8 a family of 2 adults and children pay 24 for the their dinners
Answer:
The total cost will be 2 adult ($16), and 4 children ($8)
Is this correct, you don’t have to look at my work just check to see if it’s correct please and thank you
Answer:
[tex] y = 4x + 32 [/tex].
Step-by-step explanation:
Here's a solution to the problem.
Given:
Point = (-5, 12)
Slope (m) = 4
Required:
Equation of the line
SOLUTION:
Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].
We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.
Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.
[tex] 12 = 4(-5) + b [/tex]
[tex] 12 = -20 + b [/tex]
Add 20 to both sides
[tex] 12 + 20 = b [/tex]
[tex] 32 = b [/tex]
[tex] b = 32 [/tex]
Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].
[tex] y = 4x + 32 [/tex].
The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].
Obviously, your calculations are wrong. The above is the right way to solve the problem given.
If you vertically shift the quadratic parent function, F(x) = x^2, up seven units, what is the equation of the new function? A. G(x) = x^2 - 7. B. G(x) = (x + 7)^2. C. G(x) = 7x^2. D. G(x) = x^2 + 7
Answer:
D
Step-by-step explanation:
G(x) = x^2 + 7
juss took the test yw
Jenny has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer.
Answer:
1.92 m^2
Step-by-step explanation:
1.6 m x 1.2 m
1.92 m^2
Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2
Answer:
d
Step-by-step explanation:
add all together equals 522
522/10 = 52.2
The mean absolute deviation of the data set of 15.2
What is mean absolute deviation?Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.
Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.
Given is a data set, we need to find the mean absolute deviation for the group,
So,
The mean = 38+45+76+93+50+54+29+44+62+31 / 10
= 522/10 = 52.2
Now finding the absolute deviation =
|52.2-38| = 14.2
|52.2-45| = 7.2
|52.2-76| = 23.8
|52.2-93| = 40.8
|52.2-50| = 2.2
|52.2-54| = 1.8
|52.2-29| = 23.2
|52.2-44| = 8.2
|52.2-62| = 9.8
|52.2-31| = 21.2
The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10
= 152.4 / 10
= 15.24
≈ 15.2
Hence, the mean absolute deviation of the data set of 15.2
Learn more about mean absolute deviation, click;
https://brainly.com/question/10528201
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11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.
Answer:
Step-by-step explanation:
( 3+√3 ) (2+√2) simplify
What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1
Answer:
y = 2/3x-1
Step-by-step explanation:
I WILL MARK BRIANLIEST PLEASE HELP!!!
Answer:
50 degrees
Step-by-step explanation:
Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)
A food scientist determine the new type of orange is 15.38 mg of vitamin c/oz how much vitamin C is in orange that weighs 6 3/5 oz in your answer as a decimal to the nearest 10th in the box
Answer:
(Sorry this is a late response) This fraction 6 3/5 would equal 6.6 so 6 3/5=6.6 Then you will do 6.6 times 15.38=101.508 or 101.5
Step-by-step explanation:
You would divide 3 and 5 or 5 and 3 because 3 and 5 equals the fraction 3/5. The dividend is 3 and the 5 is the divisor. The quotient of this is 0.6. So the next step would be to add the 6 from 6 3/5 so this is the whole number so add it in front of 0.6 so it would turn into 6.6. The last step is to multiply the weight of the orange by the mg of vitamin C/oz that is 15.38 so multiply 6.6 by 15.38 this would equal 101.508 so you would just round this to a better answer and that would make it 101.5. I hope this helps :0
WHO KNOWS HOW TO DO solving literal equations please help I'll put you on brain list
1. [tex]nx + y = 3f[/tex]
2. [tex] \frac{x}{2} - h = 3n[/tex]
3. [tex]px + qx = w[/tex]
4. [tex]5h \: \frac{x - 3}{w} [/tex]
5. [tex]c = \frac{ax}{x + b} [/tex]
6. [tex] \frac{2}{x} + \frac{n}{y} = 3[/tex]
Answer:
are u an bts army ?????????? can u pls comment me
Which is not a a equivalent Ratio?
a) 6:15
b) 2 :5
c) 12 : 25
d) 40:100
Answer:
A
Step-by-step explanation:
g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)
Answer:
19+23
Step-by-step explanation:
Factor completely
3x^2 + 7x - 6
Zzz
Answer:
(3x−2)(x+3)
Step-by-step explanation:
these are ur answers
angle 4 and angle 5 are ??? angles will mark brainiest
Answer:
alternate interiorStep-by-step explanation:
alternate interior angles are congruent if and only lines are parallel.
If the sum of three consecutive numbers is 1998, what is the first one?
Answer: 665
Step-by-step explanation: X + X + 1 + X + 2 = 1998
3X + 3 = 1998
3X + 3 - 3 = 1998 - 3
3X = 1995
3X/3 = 1995/3
X = 665