1413 A B 1 1 1 2 1 1 1 Each lunch must provide at least 6 units of fat per serving, no more than 7 units of protein, and at least 10 units of carbohydrates. The institution can purchase food A for $0.12 per ounce and food B for $0.08 per ounce. How many ounces of each food should a serving contain to meet the dietary requirements at the least cost
Solution :
It is given that a large institution is preparing food menus which contains foods A as well as B.
Each lunch provides :
10 units of carbohydrates
6 units of fats
7 units of proteins
The food from A cost = $0.12 per ounce
And food from B cost = $0.08 per ounce
Objective function :
[tex]$C= 0.12x+0.08y$[/tex]
Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]
Domain : [tex]$3 \leq x\leq 7$[/tex]
Range : [tex]$0\leq y\leq4$[/tex]
Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. Match each description on the left with a term on the right. Note - any given term on the right may be used more than once or not at all.
a. Response variable
b. Explanatory variable
c. Subjects of investigation
1. Infants whose brains are temporarily deprived of oxygen [Choose ]
2. Usual care or whole-body cooling ET [Choose]
3. Survival without brain damage [Choose]
Answer:
Infants whose brains are temporarily deprived of oxygen - Subject of investigation
Usual care or whole-body cooling ET - Explanatory variable
Survival without brain damage - Response variable
Step-by-step explanation:
The subject of investigation are the set of participants who are used in a research study. Based on the scenario described above, 208 infants whose brains were temporarily deprived of oxygen as a result of complications at birth were researched. And these sentence gives us the subject of investigation.
The Explanatory variable can also be called the independent variable which are the variables which causes changes behavior or output produced by the response variable. The usual care and whole body cooling are the two independent temperature options subjects are assigned subjected to.
The response variable also called the predicted variable gives the outcome or effect of the the Explanatory variable on the subject of investigation.
What advice would you give other students about how to solve these percent problems?
My last question for today. I hope you all had some type of enjoyment. I still have some questions up that are unanswered in the math subject so if you’d like to answer them find my name on the math subject and answer them please! You WILL get Brainliest for the correct answer.
As always, have an amazing day/night. :))
Answer:
I would make sure to note keywords in the problem/question such as (percent) off, (percent) tax, etc. These words can determine if the original number will become higher or lower after the percent is applied to the original number. For example, if there is a price for a t-shirt of $15, and there is a tax of 13%, the original price will increase. On the other hand, if there is a sale for pants at the local department store and you are buying a pair of pants that cost $25 with the sale being 10% off, the price will decrease.
Which is equivalent to 5(a + 6)?
1. a+30
2. 5a-30
3. 5a+6
4. 5a+30
Answer: the answer is number four.
Step-by-step explanation:
because when you take five multiply by A (5*a) you will get 5a and when you take five multiply by six (5*6) you will get 30 and there is positive sign so the plus (+) stays the same and your will be (5a+30) that is your answer. good luck.Will give brainliest to who ever types the answer no links
Find the total surface area of the
following cylinder:
r = 5 cm
5 cm
SA = [ ? ]n cm2
Leave your answer in terms of t.
Enter the number that goes in the green box.
Answer:
100Step-by-step explanation:
Given ,
Radius of the cylinder = 5 cm
Height of the cylinder = 5 cm
Therefore,
Total surface area of the cylinder
[tex] = 2\pi r(r + h)[/tex]
[tex] = 2\pi \times 5(5 + 5) {cm}^{2} [/tex]
[tex] = 10\pi \times 10 {cm}^{2} [/tex]
[tex] = 100\pi {cm}^{2} [/tex]
Hence,
The required value to put in the green box is 100(Ans)
If Annie purchased 2 shirts for $10.00, how much will 4 shirts cost?
Answer:
$20
Step-by-step explanation:
2=10
4=20
ALGEBRA
identify the terms, coefficients, and constants in the expression.
3p^2+7
Value of C in the triangle
A person at UPS was determining a delivery route on a given map and the person
had to make 7 delivery stops shown on the map at the right.
Which would be most appropriate to create for the delivery?
Answer:
Step-by-step explanation:
12
solve the equation -3 + 1/2n = 1/2 (-n + 14) in two different ways.
Answer:
Step-by-step explanation:
-3 + 1/2n = 1/2 (-n + 14)
distribute
-3 + 1/2n = -1/2n + 7
-1/2n
cancel out -1/2n
-3 = n + 7
-10 = n
subtract 7
n = -10
1. Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year
period. How much interest does she have to pay the bank at the end of 3 years? (2dp)
Answer:
He will have to pay $1,650 in interest at the end of 3 years.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Anvi borrowed $5,000 from a bank at a flat interest rate of 11% per year for a 3-year period.
This means that [tex]P = 5000, I = 0.11, t = 3[/tex]
How much interest does she have to pay the bank at the end of 3 years?
[tex]E = P*I*t = 5000*0.11*3 = 1650[/tex]
He will have to pay $1,650 in interest at the end of 3 years.
Mr. Cohen offered Hugo and ___ some coffee when we arrived.
I
Me
Answer:
me
Step-by-step explanation:
Mr. Cohen offered Hugo and me some coffee when we arrived
If you removed "Hugo and," me would make sense, and not I
For instance:
Mr. Cohen offered me some coffee when we arrived.
Makes sense
Mr. Cohen offered I some coffee when we arrived.
Makes no sense
Simplify math problems
Answer: basically simplifying is this
Step-by-step explanation:
2x+4x+8x+3y+2y+9y
we can simplify that to 14x+14y by adding like terms.
or
3(2x+4)
this can be simplified to 6x+12 by distributive property (multiply everything in the parenthesis by 3)
GIVING BRAINLIEST PLS HELP
(x + 3)^2 – 3 = 0
lesser x =
greater x=
Based on the components of the given vectors match each vector subtraction with graph of the resulting vector
Answer: graph 1 —> u-v
graph 2—> u-w
graph 3—> w-v
graph 4—> v-u
*Look at both pictures to make sure this is for your specific question
Step-by-step explanation: I got this right on Edmentum
Graph 1 represents the vector u - v, graph 2 represents the vector u - w, graph 3 represents the vector w - v, and graph 4 represents the vector v - u.
What a is vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have vectors u, v, and w given in the picture:
u = <-2, -7>
v = <3, -4>
w = <5, 1>
= u - v
= <-2, -7> - <3, -4>
= <-5, -3>
= u - w
= <-2, -7> - <5, 1>
= <-7, -8>
= w - v
= <5, 1> - <3, -4>
= <2, 5>
= v - u
= <3, -4> - <-2, -7>
= <5, 3>
Thus, graph 1 represents the vector u - v, graph 2 represents the vector u - w, graph 3 represents the vector w - v, and graph 4 represents the vector v - u.
Learn more about the vector here:
brainly.com/question/8607618
#SPJ2
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 15 ft long whats the volume
Answer:
Step-by-step explanation:
r = 1.5 ft
h = 15 ft
π = 3.14
Volume = πr²h
= 3.14 * 1.5 *1.5 *15
= 1.5.975 cubic feet
The radius of a cylindrical construction pipe is 1.5 ft. If the pipe is 15 ft long, what's the volume ?
Answer:-Given:-[tex] \bullet [/tex] Radius (r) of a cylindrical construction pipe is 1.5 ft.
[tex] \bullet [/tex] Height (h) of a cylindrical construction pipe is 15 ft.
To Find:-Volume of a cylindrical construction pipe.
Solution:-We know,
Formula of Volume of cylinder is πr²h.
So, Volume = 3.14 × (1.5)² × 15
Volume = 3.14 × 1.5 × 1.5 × 15
Volume = 105.975 cubic ft.
The volume of a cylindrical construction pipe is 105.975 cubic ft. [Answer]What is the complementary angle of 65 degrees
How many, and what type of solutions, does 6x squared - 2x + 7 = 0 have
Answer:
the correct answer is 2 no real solurions hope this helps
A jar has 3 green jelly beans and 5 red jelly beans. What’s the odds of selecting a green jelly bean?
Match each division expression to its quotient
Answer:
3÷2/3=9/2
2 1/2÷5/2=1
1/3÷3=1/9
6 3/4÷2 1/4=3
MATH PLEASE HELP
Paul wants to put a fence around his vegetable garden in the backyard. The price of fencing is $1.65 per linear foot. Given a diagram of his vegetable garden below, how much will it cost him for the fencing?
Answer:
total perimeter =14+23+9+11+23-11=69cm×1/30=2.3ft
total cost =perimeter ×rate=2.3×1.65=$3.795
Answer:
The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.
Step-by-step explanation:
hope it help :):):):):):)
You are planning on applying to the Knirhsdaeh institute as a psychology counselor. They hire millions of psychologists around the world. You know the standard deviation for the salaries is $13 k. To find the average, you sample 23 random employees and get an average salary of $81 k. Find an 98% confidence interval for the true average salary of Knirhsdaeh employees.
Answer:
The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor
(75.4206, 86.5794)
Step-by-step explanation:
Step(i):-
Given that the mean of the sample = $81 k
Given that the size of the sample 'n' = 23
Given that the standard deviation for the salaries is $13 k
Step(ii):-
98% of the confidence interval for the true average salary of Knirhsdaeh employees is determined by
[tex](x^{-} - t_{0.02} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S.D}{\sqrt{n} })[/tex]
Degrees of freedom = n-1 = 23-1 =22
[tex]t_{0.02} = 2.5083[/tex]
[tex](81 - 2.0583 \frac{13}{\sqrt{23} } , 81 + 2.0583 \frac{13}{\sqrt{23} } )[/tex]
( 81 - 5.57940 , 81 + 5.57940)
(75.4206, 86.5794)
Final answer:-
The 98% of the confidence interval for the true average salary of Knirhsdaeh employees as a psychology counselor
(75.4206, 86.5794)
Type the correct answer in the box.
2 units
2 units
2 units
8 units
2 units
2 units
2
2 units
6 units
The area of the figure is
square units.
What is the best way to describe |-2| On a number line
Answer:
Two spaces before zero
Step-by-step explanation:
Straight brackets just mean the absolute value of the number or the distance between that number and zero.
Answer:
the distance between A and D
Step-by-step explanation:
I did the diagnostic
Janie ordered boxed lunches for a student advisory committee meeting. Each lunch costs $4.25. The total cost of the lunches is $53.75, including a $7 delivery fee.
Part A
Which equation will help you find x, the number of boxed lunches Janie ordered?
a 4.25x = 60.75
b 4.25 + 7x = 53.75
c 4.25x + 7 = 53.75
d 4.25(x + 7) = 53.75
Part B
Solve the equation from Part A to find x.
x = _____
Answer:
Part A: c. 4.25x+7=53.75
Part B: 11
Step-by-step explanation:
4.25x+7=53.75
4.25x=46.75
x=11
Please help I’m really confused
Answer:
Count the dots but instead as a Fraction. Like one dot is the fraction the line is on. Add them together to get your answer
Step-by-step explanation:
Hope this helped :D
Given: ()=5−2. Find: (+2)
Answer: The value of [tex]g(a+2)=5a-8[/tex].
Step-by-step explanation:
We are given that,
[tex]g(x)=5x-2[/tex] ...(i)
To find: [tex]g(a+2)[/tex]
Substitute [tex]x=a+2[/tex] in (i), we get
[tex]g(a+2)=5(a+2)-2\\\\g(a+2)=5a+10-2\\\\g(a+2)=5a+8[/tex]
Therefore, the value of [tex]g(a+2)=5a-8[/tex].
1/2-5/6 can someone help me
Exact Form:
-1/3
Decimal Form:
-0.3 (with a line over the 3)
Answer:
-1/3
Step-by-step explanation:
answer is -1/3
Name the five edges that are not parallel
to AB and do not intersect AB.
A. KM, KD, KP, DP, MD
B. KM, KP, KD, MA, MD
с, MA, BP, DP, KP, BA
D. MK,DK, PK, DP, AM
Solve. Will give brain thing
Answer:
Step-by-step explanation:
-1/2 + (3/4 x 4/9)
-1/2 + (3/9)
= - 1/2 + (1/3)
= - 1/6