Help plz:)))I’ll mark u Brainliest
Answer:
21/35
Step-by-step explanation:
Given :
A right angled triangle with sides 28 , 35 ,21 .And we need to find the value of cos A. We know that cosine is the ratio of base and Hypotenuse. So that ,
[tex]:\implies[/tex] cos A = b/h
[tex]:\implies[/tex] cosA = 21/35
[tex]:\implies[/tex] Hence the required Answer is 21/35.Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:
Answer:
Given
f(x) = 3x + 2g(x) = (x + 3) / (2x - 10)#1
g · f(x) = g(f(x)) = (3x + 2 + 3)/ (2(3x + 2) - 10) = (3x + 5) / (6x - 6)#2
f · g(x) = f(g(x)) = 3[(3x + 2) / (2x - 10)] + 2 = (9x + 6) / (2x - 10) + 2 = (9x + 6 + 4x - 20)/ (2x - 10) = (13x - 14) / (2x - 10)Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover
Answer:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
Amount of beef leftover 2 lb
Amount of onions leftover 0
Amount of Special Sauce leftover 61
Amount of Hot Sauce leftover 9
Step-by-step explanation:
Ingredients Beef Onions Special S Hot S Profit
Wimpy (x₁) 1 2 5 0 0.6
Dial 911 (x₂) 1 2 2 5 0.55
Fire Bowl (x₃) 1.5 2 3 6 0.65
Available 15 20 90 60
Objective Function z:
z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize
Subject to:
1) Quantity of beef : 15
x₁ + x₂ + 1.5*x₃ ≤ 15
2) Quantity of onions: 20
2*x₁ + 2*x₂ + 2*x₃ ≤ 20
3) Quantity of Special sauce: 90
5*x₁ + 2*x₂ + 3*x₃ ≤ 90
4) Quantity of hot sauce: 60
0*x₁ + 5*x₂ + 6*x₃ ≤ 60
5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃
x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0
- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0
6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
x₃ - x₂ ≤ 3
7)the available number of servings for Dial 911 must be at least 2.
x₂ ≥ 2
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
With on-line solver solution is:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
By sbstitution on the constraints
1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13
Amount of beef leftover 2 lb
2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20
Amount of onions leftover 0
3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29
Amount of Special Sauce leftover 61
4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51
Amount of Hot Sauce leftover 9
Add 78, 139, and 14, and then divide by 44.
A numerical expression for the calculation is...?
Pls help mee!
Answer:
5.24, 21/4, or 5 and 1/4
Step-by-step explanation:
78+139+14 = 231
231/44 = 5.25
Or 21/4 (improper fraction)
Or 5 and 1/4 (mixed number)
I'm not exactly sure what you were asking I hope that helps!
the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours
Answer:
10
Step-by-step explanation:
NEED HELP ASAP OR NOW!!!
1. Which of the following statements best represents the graph?
A. After one month of service, the cost of internet is $45.
B. After 60 months of service, the cost of internet is $1.
C. After one months of service, the cost of internet is $60.
D. After 5 months of service, the cost of internet is $210.
PLEASE ALSO ANSWER THE QUESTION BELOW.
2. Which is the correct equation best reflects to the graph above on question 1?
A. Y = 90x
B. Y = 180x
C. Y = 45x
D. Both B and C

Answer:
A. After one month of service, the cost of internet is $45.
Step-by-step explanation:
If you count on the graph, it goes up 1.5 and over (right) 2. This means to get from 2 months to 1 month, you would go DOWN 1.5 and LEFT 2, which gets you at $45 dollars for the first month.
Plsss help I am falling
upon graduating from college, Ashley took a job with the starting salary of $40,000. She can expect a 6% raise pay and pay each year. How long will it take to earn $60,000 per year.
NO LINKS!!!!
Answer:
Ashley is 7 years old.
and its step by step
Calculate (0.25) x (0.44). Show your work.
Answer:
0.11
Step-by-step explanation:
0.44/x=100/25
(0.44/x)*x=(100/25)*x
0.44=4*x
0.44/4=x
0.11=x
Find the y-intercept for the parabola defined by
this equation:
y=x^2+ 7x + 6
Separate the values with a comma.
Answer:
(0,6)
Step-by-step explanation:
because a point that lies on y axis has the coordinates of its x = 0.
the therm without the x in the equation of the parabola indicate where it intercepts the y axis
Porque alguna sucesiones es multiplicado y otras sumando segun los desfios? Plz
Answer:
no tengo idea
Step-by-step explanation:
(2x+1)(x+6)
A=
B=
C=
9514 1404 393
Answer:
A = 2B = 13C = 6Step-by-step explanation:
In expanded form, the quadratic is ...
(2x +1)(x +6) = 2x(x +6) +1(x +6) = 2x² +12x +x +6
= 2x² +13x +6
Comparing this to ...
Ax² +Bx +C
we see that ...
A = 2B = 13C = 6Answer:
the answer is
a=2
b=13
c=6
9f^2–10– 1+2f^2+ – 7f^2
(NO LINKS)
(LINKS WILL BE REPORTED)
Answer:
4f² - 11
Step-by-step explanation:
first group the like terms
9f²-2f²-7f² is all like terms
-10-1 are like terms
9f²-2f²-7f² -10-1
4f² - 11
please help, will award brainliest
Answer:
First one
Step-by-step explanation:
Julie's recipe for lemonade made 2 quarts. What did she need to
multiply each ingredient by to make 8 gallons?
Answer:
She needs 16 recipe to make 8 gallons
h(x) = x^2+ 2x- 6
what’s the answer
It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.
. If x = -1 and y = -2, what is the value of the expression 2x^2y - 3xy?
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
just plug in the numbers for each variable.
2(-1)^(2(-2)) - 3(-1)(-2) = 2 - 6 = -4
What is the greatest common factor of 16, 36, and 28?
The graph shows the number of books Rahul read, y, compared with the number of books Maggie read, x, over the summer.
Which equation represents the relationship between the number of books read by Rahul and Maggie?
Answer:
I need help with this too.
Step-by-step explanation:
Which expression means the same as "the quotient of 8 less than x and 4"?
Answer:
(x - 8) -4
Step-by-step explanation:
Plz help me well mark brainliest if correct!!...
Answer:
You should stick with option D
What is 9 + 10?
A. 21
B. 19
C. 12
D. 16
19
[tex] \mathtt \red{Hope \: it \: helps \: uhh..}[/tex]
answer = 19 Haha.......
Find the slope of the line that passes through the points (-6,-2) and (-7,2)
Answer:
-4
Step-by-step explanation:
the steps are in the pic above
Jennifer wants to borrow $ 20, 000 . Her bank offers a 7.1% interest rate. She can afford $500 a month for loan payments. What should be the length of her loan to the nearest tenth of a year
Answer:
4.2 years
Step-by-step explanation:
20000(.071)t ≤ 500(12)
1420t ≤ 6000
t = 4.2
Her loan is 4.2 years long to the nearest tenth of a year.
How is compound interest determined?To calculate compound interest, multiply the original loan principle by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the loan's principal plus compound interest.Compound interest is one of the most useful financial concepts, which states that the interest you earn each year is added to your principal so that the balance not only grows, but grows at an increasing rate. It serves as the foundation for everything, including a person's personal savings strategy and the long-term growth of the stock market.Therefore,
20000(.071)t ≤ 500(12)
1420t ≤ 6000
t = 4.2
Hence, Her loan is 4.2 years long to the nearest tenth of a year.
To learn more about compound interest, refer to:
brainly.com/question/12325365
#SPJ2
How much larger is the volume of a triangular prism when you double the height of the prism?
9514 1404 393
Answer:
2 times
Step-by-step explanation:
Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.
what integer is the opposite of positive 7
Answer:
-7
Or:
Negative 7
Plz this will be brainleist
Answer:
a.
Step-by-step explanation:
-the arrow points to the left which means less than
-the closed/colored in dot means it's greater than or equal to
Which of the following ratios is not 2:5
A. 40:100
B. 10:20
C. 16:40
D. 6:15
Answer:
Step-by-step explanation:
Option B is the correct answer
10 : 20
In its simplest form
1 : 2
During a sale, a store offered a 40% discount on a bed that
originally sold for $790. After the sale, the discounted price of
the bed was marked up by 40%. What was the price of the bed
after the markup? Round to the nearest cent.
Answer:
790 is 100% you get 40% discount, the money you pay is: 790 time 40 divided by 100
What is the magnitude of -3+ 4i?
Answer:
5
Step-by-step explanation:
d² = (-3)² + 4²
d² = 9 + 16
d² = 25
d = 5
Answer:
The magnitude is 5.
Step-by-step explanation:
(I’m going to be using r to represent the magnitude)
r^2= (-3)^2+4^2
r^2= 9+16
r^2= 25
r = 5