Answer: Mary potted 27 plants.
Step-by-step explanation:
A military commander has been assigned the task of defending an asset from enemy air attack. Commander has two types of air defense missiles; 5 missiles each of type I and type II are available for deployment. Each type I missile costs 7 units for installation and each type II missile costs 8.5 units for installation. The total budget available is 60 units. Each type I missile requires 6 persons for handling whereas each type II requires 2 persons. There are only 32 trained persons to handle the missiles at the site. If the site is not defended the enemy aircrafts are estimated to destroy 95% of the asset value. If one type I missile is deployed on the site, it is expected to save 13% of the asset value. Similarly, deployment of one type II missile is estimated to save 9% of the asset value. In other words, the enemy aircrafts which were earlier capable of destroying 95% of the asset value are able to destroy 82% of the asset value in the presence of one missile of type I and 86% of the asset value in the presence of one missile of type II. Formulate an LP to determine the mix of missiles that provides maximum protection to the asset against an attack of enemy aircrafts aiming simultaneously.
Step-by-step explanation:
we have A and B
for A,
95-82 = 13
for B,
95-86 = 9
cost of A = 9
cost of B = 8.5
total = 60
for person
A = 6,
B = 2
Total = 32
setting up objective function:
13x + 9y
constraints:
0≤x≤5, 0≤x≤5
7x + 8.5y ≤ 60
6x + 2y ≤ 32 this can be reduced by 2
3x + y≤16
this would take us to a bounded region which has the corner points and the objective values in the attachment i added.
6(3 + 2) + (8 – 2 x 4) =
Answer:
30
Step-by-step explanation:
6(3 + 2) + (8 - 2 × 4)
Always apply the law of BIDMAS when solving an expression
6(3 + 2)
18 + 12
30
(8 - 2 × 4)
= 8
8 - 8 = 0
30 + 0 = 30
Round to the place value of the underlined digit 862, 840. The 6 in 862,840
Answer:
860,000
Step-by-step explanation: 2 is less than 5 so you would round down
Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long. What is the area of Whitley park?
Answer:
174 yards squared
Step-by-step explanation:
If Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long then 174 yards is the area.
What is Area of Rectangle?Area of rectangle is length times of breadth.
We know that 18 feet=6 yards.
It is given that One side of Whitley park is 18 feet long, so one side of length is 6 yards.
2(Lenght+breadth)=70
2(L+6)=70
2l+12=70
2l=70-12
2l=58
l=29 yards
Now
Area =Length×breadth
=29×6
= 174 square yards
Hence 174 square yards is the area of Whitley park.
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I Cant figure out to copy and paste and Ive been asking since yesterday for help but when I type it out no one understands it
Answer:
Copy and paste is just control+c if you are in a chromebook or something similar. If you are on a Mac then it is command+c
Step-by-step explanation:
:)) Im not sure if you wanted to learn how to copy and paste or the question. If you needed help on the question , the question is not fully visible.
Simplify the expression.
5.15/5
Value of the expression 5.15 / 5 is equals to 1.03.
What is expression?
" An expression in mathematics is a representation of two or more numbers or variables which are connected by mathematical operation."
According to the question,
Given expression 5.15 / 5
= 1.03
Hence, value of the expression 5.15 / 5 is equals to 1.03.
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y + x = 11
solve for y
Y can equal 5 or 6 and many different numbers.
Same with x.
6+x=115+x=11Lets fill in x and y in both.
6+5=115+6=11.Which of the following points is a solution to y s -2x + 3?
(0,4)
(1, 0)
(3,-2)
(5,-2)
Answer:
0,4
Step-by-step explanation:
Traditionally, the earth's surface has been modeled as a sphere, but the World Geodetic System of 1984 (WGS-84) uses an ellipsoid as a more accurate model. It places the center of the earth at the origin and the north pole on the positive z-axis. The distance from the center to the poles is 6356.523 km and the distance to a point on the equator is 6378.137 km. Meridians (curves of equal longitude) are traces in planes of the form y=mx.
Required:
a. Find an equation of the earth's surface.
b. What is the shape of these meridians?
Answer:
a) x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b) x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
Step-by-step explanation:
a)
We know that the general equation of the ellipsoid with center at the origin is
x²/a² + y²/b² + z²/c² = 1
Since the north pole is along the z-axis and north pole is at a distance of 6356.523 km from the center, so c = 6356.523
And the distance between center to a point on the equator is 6378.137 km so we have, a = b = 6378.137
Thus, the equation of the earth's surface as used by WGS-84 is
x²/(6378.137)² + y²/(6378.137)² + z²/(6356.523)² = 1
b)
Meridians are traces in planes of the form y=mx, so the equation of paraboloid gives;
x²/(6378.137)² + m²x²/(6378.137)² + z²/(6356.523)² = 1
x²/(6378.137)²/(1+m²) + z²/(6356.523)² = 1
Help with this pls thank you
Help Solve???????????
Answer:
-m^2 - 9m + 3 (the third one)
Step-by-step explanation:
separate the terms and group them with their equivalents (integers:inetgers, variables: variables, etc.) like so:
4m^2 & -5m^2 = -m^2
-8m & -m = -9m
12 & -9 = 3
add them all together to get the expression -m^2-9m+3
A banker earns a $75,000 annual salary, a 2.35% commission on any approved loans for the bank’s business customers, and a fee of $3.75 for each application processed. If the banker has a total of $2.8 million in approved business loans and processes 2,750 applications this year, what are the banker’s earnings rounded to the nearest dollar?
A) $140,800
B) $186,463
C) $152,875
D) $151,113
Answer:
D
Step-by-step explanation:
Scores on a mathematics assessment test for eighth-graders have a mean of 283, a 10th percentile of 232, a 25th percentile of 255, a 75th percentile of 304, and a 90th percentile of 327. Interpret each of these numerical descriptive measures. Interpret the mean value of 283. Choose the correct answer below. A. For this problem, the mean value of 283 represents the variation in the test scores on a mathematics assessment test for eighth-graders. B. For this problem, the mean value of 283 represents the range of test scores on a mathematics assessment test for eighth-graders. C. For this problem, the mean value of 283 represents the average test score on a mathematics assessment test for eighth-graders. D. For this problem, the mean value of 283 represents the middle test score when the scores are arranged in ascending (or descending) order.
Answer:
C ) For this problem, the mean value of 283 represents the average test score on a mathematics assessment test for eighth-graders.
Step-by-step explanation:
10 th percentile of 232
10 % below 232 and 90 % above 232
25 th percentile of 255
25 % below 255 and 75 % above 255
75 th percentile of 304
75 % below 304 and 25% above 304
90 th percentile of 327
90 % below 327 and 10 % above 327 .
So counting is from below to above in ascending order .
the mean of 283 represents the average of the test score
Hence option C ) is correct .
The score of the mathematics test for the 8th class have a mean of 283 and the 10th percentile of 232, a 25th percentile of 255 nd so on.
As per the question the 10 th percentile of 232 , hence the 10 % below 232 and 90 % above 232 . The 25 % below 255 and 75 % above 255 , 75% below 304 and 25% above 304. The 90 % below 327 and 10 % above 327 . So in ascending order the mean of 283 represents the average of the test score. Hence the option C is correct.Learn more about the mathematics assessment test for eighth-graders.
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Can you solve x and y please
Answer:
x = 12y = 125Step-by-step explanation:
The upper and lower angles are vertical angles, so congruent:
(5x -5)° = 55°
x - 1 = 11 . . . . . . . divide by 5°
x = 12
_____
The 55° angle and y° are a linear pair, so are supplementary.
y° = 180° -55°
y = 125 . . . . . . . simplify, divide by °
Craig hired 3 high school students to work for his dog walking business. This week, they walked a total of 31 dogs.
Allyson walked 5 less dogs than Brooke.
Carlos walked 3 more dogs than Brooke.
How many dogs did Carlos walk this week?
o Carlos walked 6 dogs.
o Carlos walked 8 dogs.
O Carlos walked 11 dogs.
o Carlos walked 14 dogs.
Answer:
Carlos walked 14 dogs
Step-by-step explanation:
Let x denotes number of dogs that Carlos walked this week.
As Allyson walked 5 less dogs than Brooke,
Number of dogs that Allyson walked = [tex]x-5[/tex]
As Carlos walked 3 more dogs than Brooke,
Number of dogs that Carlos walked = [tex]x+3[/tex]
Also, total number of dogs walked this week is equal to 31.
So,
[tex]x+x-5+x+3=31\\3x-2=31\\3x=31+2\\3x=33\\x=\frac{33}{3}\\ x=11[/tex]
Therefore, Carlos walked [tex]x+3=11+3=14[/tex] dogs
Which graph does not represent a function ?
Answer:
D
Step-by-step explanation:
D is not a function because x's repeat. Each x value should have its own unique y value. The graph also fails the vertical line test, meaning that if you were to draw a vertical line anywhere on the graph it would intersect with more than one point.
What is the value of -| -3|?
Answer:
-3
Step-by-step explanation:
there is a - outside of the |-3| so it would be -3
Joe traveled 125 miles in 5 hours. How many miles would he travel in 1 hour?
Answer:25
Step-by-step explanation:
The distance traveled by Joe in 1 hour is required.
The distance Joe would travel in 1 hour is [tex]25\ \text{miles}[/tex]
SpeedDistance traveled by Joe in 5 hours is 125 miles.
[tex]5\ \text{hours}=125\ \text{miles}[/tex]
Divide by [tex]5[/tex] on both sides
[tex]1\ \text{hour}=\dfrac{125}{5}=25\ \text{miles}[/tex]
The speed of Joe is [tex]25\ \text{miles/h}[/tex]
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The administrator of a $200,000 trust fund must adhere to following guidelines.
a. The money may be invested in three different types of securities: a utilities stock paying a 9% dividend, an electronics stock paying a 4% dividend, and a bond paying 5% interest.
b. The amount invested in the stocks cannot be more than half the total amount invested; the amount invested in the utilities stock cannot exceed $40,000; and the amount invested in the bond must be at least $70,000.
c. The total amount need not be fully invested at any one time.
Required:
Setup an LP problem to maximize profit.
Step-by-step explanation:
let us give all the quantities in the problem variable names.
x= amount in utility stock
y = amount in electronics stock
c = amount in bond
“The total amount of $200,000 need not be fully invested at any one time.”
becomes
x + y + c ≤ 200, 000,
Also
“The amount invested in the stocks cannot be more than half the total amount invested”
a + b ≤1/2 (total amount invested),
=1/2(x + y + c).
(x+y-c)/2≤0
“The amount invested in the utility stock cannot exceed $40,000”
a ≤ 40, 000
“The amount invested in the bond must be at least $70,000”
c ≥ 70, 000
Putting this all together, our linear optimization problem is:
Maximize z = 1.09x + 1.04y + 1.05c
subject to
x+ y+ c ≤ 200, 000
x/2 +y/2 -c/2 ≤ 0
≤ 40, 000,
c ≥ 70, 000
a ≥ 0, b ≥ 0, c ≥ 0.
What does cap mean? Any help would be nice
Answer:
lie it means lie
Step-by-step explanation:
cap means lie
Answer:
it means "lie"
Step-by-step explanation:
for exmple instead of saying "no lie" u can say "no cap" or like "Cap" like it means u lying
1,000% of 880 is the same as 60 percent of what number?
Answer:
Step-by-step explanation:
1000% of 880=8800
60%*x=8800
60x=8800
/60. /60
1%x=146.6
*100. *100
100%=14666.67
Jamal has an 8-foot piece of wood that he wants to cut to build a step for his tree house if each piece is going to be 5/6. What is the greatest number of pieces he will be able to use
Answer:
9
Step-by-step explanation:
7th grade math help me plzz
Answer:
4+ (-7)
Step-by-step explanation:
To get to -3 from 4, first how far away is -3 from 4. It is 7 units away. If you wanted to get -3 from 4 then you have to subtract 7 from 4. Which is 4-7. 4-7 is the same as 4+(-7)
3 ice cream cones cost 8.25 at this rate how much do 2 ice cream cones cost
Consider the effect of the transformation (x,y) to (x,2y) on the parallelogram ABCD with vertices A (0,0), B(1,1), C(3,1), D(2,0). Select true or false for each statement. A. The transformation preserves parallelism A True B False B. The transformation preserves distance A True B False C. The transformation preserves angle measure A True B False
Step-by-step explanation:
A'(0,0),B'(1,2),C(3,2),D(2,0)
it is a parallelogram.
vertical distance is doubled. so false.
angle changes so false.
Math vocabulary what is The definition of increasing and decreasing functions
Suppose the technology matrix for a closed model of a simple economy is given by matrix A. Find the gross productions for the industries. (Let H represent the number of household units produced, and give your answers in terms of H.)
Answer:
hello your question is incomplete attached below is the complete question
Answer :
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units
Step-by-step explanation:
attached below is the remaining part of the detailed solution
products : [tex]\frac{7H}{17} units[/tex]
machinery : [tex]\frac{H}{17} units[/tex]
households : H units
John purchased a membership at a new gym. To join he had to pay an initial fee of $80 plus $20 per month. For one year his cost is $320. Identify the rate of change. ANSWER CHOICES ON PICTURE
Answer:
12
Step-by-step explanation:
It's 12, because you would multiply the monthly rate (20) by the number of months in a year (12) because the question asks "for one year".
20*12=240
240 +80 = 320
Susan has at most $90 to spend at the store to get ready for her party. She wants to buy deli meat that costs $10 per pound and fancy bread that costs $9 per loaf. However, she can only hold at most 6 items in her basket. How many pounds of deli meat and loaves of bread should she buy? Write a system of inequalities to model the situation. Let x represent number of pounds of deli meat and let y represent number of loafs of bread.
What is on of the inequalities from this situation above?
Answer:
.
Step-by-step explanation:
Find the distance between the two points,(8,-7) (-4,-2) ROUND TO THE
NEAREST TENTH)
Answer:
square root of 169 =13
Step-by-step explanation:
distance between 2 points is given by the square root of (144+25)