Answer:
Solution is:
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Step-by-step explanation:
From the problem statement we have:
Resources: machine time ( 183 h) labor (250 h) steel 185 (pounds)
Unit
Spoons 4 4 3
forks 4 9 2
knives5 5 5 4
Profit $ 9 20 17.5
Objective function z = 9*x₁ + 20*x₂ + 17.5 *x₃ to maximize
Subject to:
Availability of machine time : 183 h
4*x₁ + 4*x₂ + 5*x₃ ≤ 183
Availability of labor : 250 h
4*x₁ + 9*x₂ + 5*x₃ ≤ 250
Availability of steel : 185 pounds
3*x₁ + 2*x₂ + 4*x₃ ≤ 185
Requirement:
x₂ ≥ 16
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
After 6 iteration the solution using AtomZmath on-line solver
z (max) = 687.5
x₁ = 0
x₂ = 16
x₃ = 21
Resources used:
Machine time: 16* 4 + 21*5 = 64 + 105 = 169
remains 183 - 169 = 14 h
Labor: 16*9 + 21* 5 = 144 + 105 = 249
remains 250 - 249 = 1 h
Steel : 16*2 + 21*4 = 32 + 84 = 116
remains 185 - 116 = 69 pounds.
If it is decided that 20 units of forks are to be made then
we will need 4*4 = 16 h of machine time
9*4 = 36 h of labor
2*4 = 8 pounds of steel
We can get that from abandom to make one unit of x₃ ??
No because as we said we need 36 hours of labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.
z we got is maximum
Given: cosθ= 4/5
Find: sin2θ
Answer:
cos theta=4/5
b/h=4/5
b=4 and h=5
p=?
H^2=P^2+B^2
5^2=P^2+4^2
25-16=P^2
9=P^2
[tex]\sqrt{9}[/tex]=P
3=P
Now,
sin2theta
=p/h2
=3/5*2
=9/5
Step-by-step explanation:
Answer:
About 36.87 degrees; sinθ=3/5
Step-by-step explanation:
Note: I made an assumption with the Find: sin2θ part of your question, as it turned up as invalid when working on it on my end. Therefore, I assumed that it was sinθ. If it was something else, tell me and I can correct the answer/content.
Since within a triangle there are three sides when solving an angle, being opposite, adjacent and hypotenuse.
By already having cosθ=4/5. the rest of the problem can be solved. Since cosine is adjacent over hypotenuse, we can use the Pythagorean Theorem, solving for one of the legs of the triangle with:
c^2-b^2=a^2
Now, just plug in c as the 5 (the hypotenuse) and b as 4 (one of the legs).
5^2-4^2=a^2
25-16=a^2
9=a^2
a=3
The other leg is 3. With this, 3 would be the opposite angle from sin 20. Therefore, it can be plugged in the sine equation to get the answer. Remember, sine is Opposite/Hypotenuse.
sinθ=3/5
Move over the sine to then opposite side, inverse it:
θ=sin-1 3/5
Use a calculator.
θ = about 36.87 degrees.
Angle Relationship
Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.
The sine of the complimentary angle of 34°
a. -0.52
b. 0.83
c. 0.97
d. -0.66
Please select the best answer from the choices provided
Answer:
B. 0.83
Step-by-step explanation:
I calculated it logically
NEED HELP!!!! ILL MARK BRAINLESS FIRST PERSON!!!!
Answer:
THE ANSWER SHOULD BE B
HAVE A GOOD DAY
Step-by-step explanation:
Answer:
sort several bags and calculate percentage
i will privetely give 50 point to anyone who solves this correctly
Ms. White invests
$
2000
in a savings plan. The savings account pays an annual interest rate of
5.75
%
on the amount she puts in at the end of each year. How much will be in her savings plan at the end of
10
years?
Answer:
$3498.11 at the end of 10 years.
Step-by-step explanation:
2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.
I need help please urgent
Answer:
its ok don't worry
Step-by-step explanation:
its a mental answer
Cylindrical oatmeal container has a diameter of 7 inches and a height of 10 inches find the surface area of the label which covers the curve surface of the can
Answer:
SA=πr^2h
=22/7×35/10×35×10×10
11×35
=385
Shannon went to an auto repair shop and paid $339.50, which included parts that cost $112 and 3.5 hours of labor. Joni went to an auto repair shop and paid $455, which included parts that cost $310 and 2.5 hours of labor. Which correctly compares the cost of the labor? Shannon paid $7 more per hour for labor. Shannon paid $7 less per hour for labor. Joni paid $85 more per hour for labor. Joni paid $85 less per hour for labor.
All the answers given are incorrect. The correct answer should be Shannon paid $7 more for labor.
Answer:
Option A, Shannon paid $ 7 per hour to labor than Joni
Step-by-step explanation:
Total amount paid by Shannon = $339.50
Total cost of 3.5 hours of labor paid by Shannon =($339.50- $112)
Total cost of 3.5 hours of labor paid by Shannon = $227.5/3.5
Total cost of 1 hours of labor paid by Shannon $65 per hour
Total amount paid by Joni = $455
Total cost of 2.5 hours of labor paid by Joni = $455- $$310
Total cost of 1 hours of labor paid by Joni = $145/2.5
Total cost of 1 hours of labor paid by Joni = $ 58
Hence, Shannon paid $ 7 per hour to labor than Joni
Option A is correct
find the measure of any angle between 0 degrees and 360 degrees coterminal with an angle 354 degrees in standard position.
a. 174 degrees
b. 6 degrees
c. 354 degrees
d. 264 degrees
9514 1404 393
Answer:
c. 354 degrees
Step-by-step explanation:
The only angle in the range 0 to 360° that will be coterminal with an angle in that range is one with the same measure:
354°
Three divided by one-fourth
Answer:
3 divided by 3/4 is 4
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
3÷1/4
3×4
12
I hope this helps.
Please, show some work
I can not see the photo
9514 1404 393
Answer:
A. x -4y
Step-by-step explanation:
The first expression factors as ...
= 2x(x -4y)
The second expression factors as ...
= 3x^2(x -4y)
Factors that are common between these factorizations are ...
x, (x -4y)
Of these, the one on your list of choices is ...
x -4y
A line segment AB has midpoint (2, 5). If the coordinates of A are (-1, -3), what are the coordinates of B?
Answer:
B (5; 13)
Step-by-step explanation:
Midpoint (x) = (-1 + bx)/2 = 2
Bx - 1 = 4
Bx = 5
Midpoint (y) = (-3 + By)/2 = 5
By - 3 = 10
By = 13
B (5; 13)
which value for X makes the following sentence true?
13X - 7X=13
A) 12
B) 108
c) 3
D) 1
Answer:
I think that the answer is 3
Answer:
None of the listed answers are correct
x = 13/6
Step-by-step explanation:
13x - 7x = 13
( Note: This is not a sentence. It's an equation)
Combine like terms
6x = 13
Divide both sides by6
x = 13/6
what is the equivlalent expression of 10 plus 10 plus 10
Answer:
10 + 10 + 10 = 10 x 3
= 30
Help solve the problem pls
Answer:
x = 2
Step-by-step explanation:
Inverse variation between x and y can be represented as:
xy = k
Where k is the constant of proportionality.
If x = 1 when y = 11, the constant of proportionality, k, would be:
1*11 = k
k = 11
To find x when y = 5.5, substitute y = 5.5 and k = 11 into xy = k
Thus:
x*5.5 = 11
Divide both sides by 5.5
x = 11/5.5
x = 2
A Statistics class from a high school with 4,000 students took a survey of the first 35 students who walked through the front door of the school, and asked how far they traveled to school that day. The class plans to run a one-sample t-test to determine if the average travel distance has increased since last year. The students notice that the sample data are right skewed. Which conditions have been satisfied for the t-test
Answer:
Independent of the unknown population standard deviation σ
Step-by-step explanation:
It is one tailed test so the data is right skewed.
The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.
Here the number of degrees of freedom in = n-1= 35- 1= 34
This is the only parameter of the t distribution.
The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.
10.
V=720 cm
L=?
P=15 cm
T=8 cm
A. 6 cm
B. 8 cm
C.10 cm
D. 12 cm
Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
2.93 km
Before the eruption of a volcano, the volcano was 2.93 kilometers
high. After the eruption, the volcano was 2.53 kilometers high
Use the bar diagram to find the difference in height of the volcano
before and after the eruption, in meters,
2.59 km
Click the icon to see the metric units of length
meters,
The difference in height of the volcano before and after the eruption is
(Type a whole number or a decimal)
Answer:
0.4
Step-by-step explanation:
can someone answer this please
Answer:
Lauren saves $4,200 and Harold saves $1,050 after 6 months.
Step-by-step explanation:
700 × 6
175 × 6
Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for 2.
6
(0, 1)
(3,-1)
5
I need help with this question
Answer:
Step-by-step explanation:
i believe x=28?
which measurement is closest to the area of the shaded region in square inches
A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position relative to sea level.
Answer:
-525 feet
Step-by-step explanation:
If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.
to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)
so you can make out this equation: -800 + 275
this would equal: -525
4. Which has a longer perimeter, a square whose side is 3 metres or a rectangle whose
side measures 2 m by 3 m?
can someone answer this i follow and like
Answer:
The square.
Step-by-step explanation:
perimeter is found by add ing all sides, so 3+3+3+3= 12 while 3+3+2+2= 10
A recent math test results show a mean of 75 and a standard deviation of 3. A random test is chosen with a raw score of 86. Which of the following tests scores is better than what percentage of all scores?
TEST 1: x=65, μ=70, σ=3
TEST 2: x=80, μ=50, σ=10
A) Test 1 has the highest z-score
B) Test 2 has the highest z-score
C) Neither, the original test has a z-score 3.67 which is the highest z-score.
Answer:
c
Step-by-step explanation:
The test which scores are better than the percentage of all scores will be tested 2 and the percentage is 3. Hence, option B is correct.
What is Normal distribution?A probability distribution that is symmetric around the mean and demonstrates that data close to the mean are more likely to occur than data distant from the mean.
As per the given information in the question,
1.
x = 65
Mean, μ = 70
Standard deviation, σ = 3
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (64 - 70)/3
= -6/3
Z = -2
2.
x = 80
Mean, μ = 50
Standard deviation, σ = 10
Use the equation given below to find the percentage,
Z = (x - Mean)/Standard deviation,
Z = (80 - 50)/10
= 30/10
Z = 3
Compare the values obtained, and it is clear that Test 2 got height score.
To know more about Normal Distribution:
https://brainly.com/question/15103234
#SPJ2
Please help me I'm crying and need help
Answer:
i think its 81
Step-by-step explanation:
What is the area of the figure?
A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2
Answer:
B is the answer
Answer:
130 cm^2
Step-by-step explanation:
split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.
4x5 = 20
11x10=110
20+110 = 130 cm^2
plz help i didnt take this
Answer:
A.
Step-by-step explanation:
SOH CAH TOA
sin40°= Opposite ÷ Adjacent
sin 40°= 6/x
find the alternative interior angles in each figure
Answer:
Step-by-step explanation:
If 4 television weigh 160 pounds , how much do 5 of those television weigh? Show your work
Answer:
200 pounds
Step-by-step explanation:
4 televisions weigh 160 pounds
1 television weigh 40 punds
5 televisions weigh 200 pounds
Answer:
Logically 200 lbs
Step-by-step explanation:
160/4 = 40
1TV = 40 lbs
40 * 5 = 200
200lbs...
Does anyone know what 1/2*1/2*1/2*1/2 equals?
answers:
4/48
5/16
1/20736
4/12
•ω• Hewo fren!
☆☆●◉✿Answer:✿◉●☆☆
1/2*1/2*1/2*1/2= [tex]\frac{1}{2} ^{4}[/tex] Which is apparently none of these answers since it’ll be 1/16.
(Did you make a mistake with 5/16?)
☆☆●◉✿Step-by-step explanation:✿◉●☆☆
I know it is not 4/48 because that’ll be 1/12.
I know it would not be 1/20736 because the number is too small.
I know it would not be 4/12 beacuse that’ll be 1/3
And Iast but now Ieast I know it wouldn’t be 5/16 because that cannot be simplified.
HOPE I HELPED! ∧∧
→⇒brainliest please? ∑(OΔO )♥♥︎