An individual needs a daily supplement of at least 464 units of vitamin C and 252 of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 32 units of vitamin C and 9 units of vitamin E, while each ounce of food II contains 16 units of vitamin C and also 18 units of vitamin E. The total supplement of these two foods must be at most 35 ounces. Unfortunately, food I contains 48 units of cholesterol per ounce and food II contains 25 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. Find the minimum amount of cholesterol.
Answer:
z (min) = 705
x₁ = 10
x₂ = 9
Step-by-step explanation:
Let´s call x₁ quantity of food I ( in ou ) and x₂ quantity of food II ( in ou)
units of vit. C units of vit.E Cholesterol by ou
x₁ 32 9 48
x₂ 16 18 25
Objective function z
z = 48*x₁ + 25*x₂ To minimize
Subject to:
1.-Total units of vit. C at least 464
32*x₁ + 16*x₂ ≥ 464
2.- Total units of vit. E at least 252
9*x₁ + 18*x₂ ≥ 252
3.- Quantity of ou per day
x₁ + x₂ ≤ 35
General constraints x₁ ≥ 0 x₂ ≥ 0
Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:
z (min) = 705
x₁ = 10
x₂ = 9
Davis printed 24 photos in 8 minutes. At this rate, how long will it take him to print 6 photos?
Answer:
2 minutes.
Step-by-step explanation:
Rate formula: Quantity / Time
24 / 8 = 3 -> Calculating rate
He can print out 3 photos per minute.
6 / 3 = 2 -> Calculating time it would take for 6 photos.
It will take him 2 minutes at that rate.
7.45 times _____ =74.5
Answer:
The answer is 10
You are buying shoes online. The selling price is $29.99. The sales tax is 6.5% What is the total cost? Round to the nearest penny, if necessary. (Answer $31.94)
The cost of shipping is 15% of the total cost. What is the total cost plus shipping?
$36.73
(Use the questions/answers above to help solve this below)
If the total cost plus shipping is greater than $35, then you receive a 10% discount off the original selling price. Do you qualify? If so, what is the new total cost plus shipping?
Your teacher has disabled instant marking. Your marks will appe
In the diagram below, LMOP is a rectangle whose perimeter is 30 cm.
LM = 12 cm
MNO is a right-angled triangle whose area is 12 cm².
L
12 cm
M
N
Р
Calculate the length of MN.
You must show your working.
+
[4]
Note: Make your final answer clear by writing 'MN = ...
Answer:
............
Step-by-step explanation:
.............
You deposited 800 dollars in an account that pays 6% interest compounded monthly. How much will your account be worth after 10 years?
A. 276130.00
B. 849.46
C. 1456
D. 1455.52
Consider the figure shown. What is the measure of exterior angle
Answer:
What grade are you in? I am not sure about this question...
Step-by-step explanation:
A 30-ounce box of cereal contains 12 servings.
Which value represents the unit rate in this scenario?
O A. 0.4 ounces/serving
O B. 2.5 ounces/serving
O c. 6 ounces/serving
O D. 18 ounces/serving
Answer:
tha answer is B
Step-by-step explanation:
Use the difference quotient of A(r)= πr2 to calculate the average rate of change during certain intervals.
The difference quotient of A(r) is:
StartFraction pi (r + h) squared minus pi r squared Over h EndFraction = StartFraction pi (r squared + 2 r h + h squared) minus pi r squared Over h EndFraction = StartFraction pi r squared + 2 pi r h + pi h squared minus pi r squared Over h EndFraction = 2 pi r + pi h
The average rate of change from the interval 2 to 3 inches is
π square inches per inch.
The average rate of change from the interval 2 to 2.5 is
π square inches per inch.
Answer:
5
4.5
Step-by-step explanation:
edge
Each triangle in the net has a base length that measures 6 inches and a height that measures 4 inches. What is the surface area of the pyramid that can be formed from this net? 12 inches squared 24 inches squared 36 inches squared 48 inches square
Answer:
Surface area of triangular pyramid = 48 inch²
Step-by-step explanation:
Given:
Base length of triangle = 6 inches
Height of triangle = 4 inches
Find:
Surface area of triangular pyramid
Computation:
Surface area of triangular pyramid = 4 x [Surface area of triangle]
Surface area of triangular pyramid = 4 x [(1/2)(b)(h)
Surface area of triangular pyramid = 4 x [(1/2)(6)(4)
Surface area of triangular pyramid = 4 x [(1/2)(24)]
Surface area of triangular pyramid = 4 x 12
Surface area of triangular pyramid = 48 inch²
Find the area of a circle with diameter = 42 cm. Use 3.14
GEOMETRY!! I will give brainliest
Answer:
Paralellogram
Step-by-step explanation:
Because the figure we get after drawing in a graph has parallel lines
Need help on this subject ????
9514 1404 393
Answer:
(c) 2
Step-by-step explanation:
The product of the lengths to the near and far circle intercepts is the same for both secants.
3×(3+5) = 4×(4+x)
24 = 16 +4x . . . simplify
6 = 4 +x . . . . . . divide by 4
2 = x . . . . . . . . .subtract 4
the diagram shows three squares that are joined at vertices to form a right triangle.
which statements is true
the sum of the areas of square N and square K is less than the area of square L
2.) the sum of the areas of square N and square K is equal to the area of square L.
3.) the sum of the areas of square N and square L is greater than the area of square K
4.) the sum of the areas of square N and square L is equal to the area of square K
Answer:
Number 4
Step-by-step explanation:
Use the phytagroean theorem. The sum of both N and L will equal the sum of K
How could I solve with a model
On discovering that her family had a 70% risk of heart attack, Erin took a treadmill test to check her own potential of having a heart attack. The doctors told her that the reliability of the stress test is 67%. What is the probability that Erin will have a heart attack and the test predicts it?
A. 0.099
B. 0.201
C. 0.231
D. 0.469
Answer:
c
Step-by-step explanation:
Answer:
d, 0.469
Step-by-step explanation:
just took the test & that was the answer on edmentum:))
Evaluate: Show your work
Find the value of the variable.
34+5x=64
PLEASE HELP ME. I could really use your help.
To test the durability of cell phone screens, phones are dropped from a height of 1 meter until they break. A random sample of 40 phones was selected from each of two manufacturers. The phones in the samples were dropped until the screens broke. The difference in the mean number of drops was recorded and used to construct the 90 percent confidence interval (0.46, 1.82) to estimate the population difference in means. Consider the sampling procedure taking place repeatedly. Each time samples are selected, the phones are dropped and the statistics are used to construct a 90 percent confidence interval for the difference in means. Which of the following statements is a correct interpretation of the intervals?
A. Approximately 90 percent of the intervals will extend from 0.46 to 1.82.
B. Approximately 90 percent of the intervals constructed will capture the difference in sample means.
C. Approximately 90 percent of the intervals constructed will capture the difference in population means.
D. Approximately 90 percent of the intervals constructed will capture at least one of the sample means.
E. Approximately 90 percent of the intervals constructed will capture at least one of the population means.
Answer:
C. Approximately 90 percent of the intervals constructed will capture the difference in population means.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
90% confidence interval for the difference in population means is of (0.46, 1.82). This means that we are 90% sure that the true difference between the population means is between these two values, and approximately 90% of intervals will capture this, which means that the correct answer is given by option C.
Answer:
C. Approximately 90 percent of the intervals constructed will capture the difference in population means.
Solve the system of equations-y = -1 and -51 - 3y = -15 by combining the equations
Answer:
No solution
Step-by-step explanation:
-y = -1
-51 - 3y = -15
-3y = -15 + 51
-3y = 36
y = -12
y = 1
y = -12
No solution
Which is greater, -11 or -9 ?
Answer:
-9
Step-by-step explanation:for sure
Answer:
-9
Step-by-step explanation:
Look at a number line:
<----+------+------+------+------+------+------+------+------+------+------+------+------+------+-->
-12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1
On a number line, a number to the right is always greater than a number to its left. Just like 1 is greater than 0, -9 is greater than -11.
-9 > -11
Answer: -9
HELPPPPPPPPPPPP PLEASEEEEEEEE
Answer:
1/1 or 1
Step-by-step explanation:
1. Find two points from the graph
2. Set them in the slope formula ([tex]\frac{y^2- y^1}{x^2 - x^1}[/tex])
3. Insert the coordinates into this formula
Points: (0,1) and (1, 2)
2 -1 = 1
1 - 0 = 1
1/1 = 1
Find the area of the figure
Answer:
pls use the formula given to you
Answer:
the area of the figure is 10,700
Step-by-step explanation:
Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the letters of the word DANCER be arranged in a row? Since the letters in the given word are distinct, there are as many arrangements of these letters in a row as there are permutations of a set with elements. So the answer is . (b) How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit? (c) How many ways can the letters of the word DANCER be arranged in a row if the letters NCE must remain together (in order) as a unit?
Answer:
(a) 720 ways
(b) 120 ways
(c) 24 ways
Step-by-step explanation:
Given
[tex]Word = DANCER[/tex]
[tex]n =6[/tex] --- number of letters
Solving (a): Number of arrangements.
We have:
[tex]n =6[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =6![/tex]
This gives:
[tex]Total =6*5*4*3*2*1[/tex]
[tex]Total =720[/tex]
Solving (b): DA as a unit
DA as a unit implies that, we have:
[DA] N C E R
So, we have:
[tex]n = 5[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =5![/tex]
This gives:
[tex]Total =5*4*3*2*1[/tex]
[tex]Total =120[/tex]
Solving (c): NCE as a unit
NCE as a unit implies that, we have:
D A [NCE] R
So, we have:
[tex]n = 4[/tex]
So, the number of arrangements is calculated as:
[tex]Total =n![/tex]
This gives:
[tex]Total =4![/tex]
This gives:
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
If y=1/4x and x=-12, find y.
Answer:
-3 I believe
Step-by-step explanation:
why dose the answer have to be 20+ letters
Answer:
-3
Step-by-step explanation:
To find y, plug in -12 for x in the y=1/4x equation. Multiply -12 by 1/4 (or divide -12 by 4) and you get -3.
NO LINKS! NO FILES
please :)
Answer:
the answer is 40 because you count all the squares that are in the shape
Step-by-step explanation:
A quadrilateral in the coordinate plane has vertices (3, 2), (3,-4), (5,-4), and (5,-2). What is the area, in square units, of the quadrilateral?
Answer:
4 square units
Step-by-step explanation:
the distance between (3, -4) and (5, -4) is 2, and the distance between (3, -2) and (5, -2) is also 2. since its a quadrilateral do 2x2 and you get 4
Answer:
exactly, it is 4 sq units
Step-by-step explanation:
You solve a system of two linear equations by substitution. Your work results in a third equation, which leads you to conclude that the system has infinitely many solutions. Which of the following could be the third equation? 6=9 4y−2=6 5x+3=2 2=2
Step-by-step explanation:
Here, in step format, is how to solve a system with three equations and three variables:
Pick any two pairs of equations from the system.
Eliminate the same variable from each pair using the Addition/Subtraction method.
Solve the system of the two new equations using the Addition/Subtraction method.
may someone please help me? I’m having trouble finding G and H. It would be okay if you only found G for me. I will give the first answer a brainliest if it is reasonable or correct! Thanks you
g would be 125 degrees
h would be 62 degrees
Answer:
g = 118°
Step-by-step explanation:
b = 180 - 62 = 118 because b is supplementary to the 62° angle
g = 118 because b and g are alternate interior angles
Area 15 cm 12 cm 19 cm triangle
Answer:
not clear
Step-by-step explanation:
what is the height and base? need an image
What is 729 in a exponent
Pls help quickly
Answer:
27×27=729
729^6..........