Answer:
63°
Step-by-step explanation:
ABCD (rhombus): AC ⊥ BD and bisect at E and same length of 4 sides
∠EBA = 90 - 27 = 63
∠EBC = ∠EAB = 63°
What is the minimum value of the objective function, C, with the given constraints?
C=2x+3y
A) 2x+3y≤24
B) 3x+y≤15
C) x≥2
D) y≥3
Given:
The objective function, [tex]C=2x+3y[/tex],
Constraints,
[tex]2x+3y\leq 24[/tex]
[tex]3x+y\leq 15[/tex]
[tex]x\geq 2[/tex]
[tex]y\geq 3[/tex]
To find:
The minimum value of the given objective function.
Solution:
We have,
Objective function, [tex]C=2x+3y[/tex] ....(i)
The related equations of given constraints are
[tex]2x+3y=24[/tex] ...(ii)
[tex]3x+y=15[/tex] ...(iii)
[tex]x=2[/tex], it is a vertical line parallel to y-axis and 2 units left from y-axis.
[tex]y=3[/tex], it is a horizontal line parallel to x-axis and 4 units above from y-axis.
Table of value for (i),
x : 0 12
y : 8 0
Table of value for (ii),
x : 0 5
y : 15 0
Plot these points on a coordinate plane and draw these 4 related lines.
The sign of inequality of [tex]2x+3y\leq 24[/tex] and [tex]3x+y\leq 15[/tex] is ≤, it means the related lines are solid lines and the shaded region lie below the related line.
For [tex]x\geq 2[/tex], left side of the line [tex]x=2[/tex] is shaded.
For [tex]y\geq 3[/tex], shaded region is above the line [tex]y=3[/tex].
From the below graph it is clear that the vertices of the feasible (common shaded region) are (2,3), (4,3), (3,6) and (2,6.667).
Points [tex]C=2x+3y[/tex]
(2,3) [tex]C=2(2)+3(3)=4+9=13[/tex] (Minimum)
(4,3) [tex]C=2(4)+3(3)=8+9=17[/tex]
(3,6) [tex]C=2(3)+3(6)=6+18=24[/tex]
(2,6.667) [tex]C=2(2)+3(6.667)=4+20=24[/tex]
Therefore, the objective function is minimum at point (2,3).
For integers a, b and k, we know that a >12, b > 20 and a < b. If b=7k, what is the value of k ?
This question is incomplete, the complete question is;
For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?
Answer: the value of k = 2
Step-by-step explanation:
Given that;
a > 12
b < 20
a < b
If b = 7k
Now if k = 1 {b = 7k = 7}
b would be equal to 7 but b has to be greater than 20
IT CANT BE
if k = 2 { b = 7k = 14}
b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,
a has to be less than than b ( 12 < 14 )
IT IS
if k = 3 {b = 7k = 21}
b would be equal to 21, so b is greater than 20 and a is less than 21
IT CANT BE
Therefore the value of k = 2
Sample Response: They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Answer:
They are both correct because there is more than one way to write a multivariable polynomial in standard form. Marcus has the exponents on the x variable in descending order from the highest degree to the lowest degree. Ariel has the exponents on the y variable in descending order from the highest degree to the lowest degree.
Step-by-step explanation:
coochie man
d + 5.5 = 10. Solve for d.
Answer:
4.5
Step-by-step explanation:
d=10-5.5
d= 4.5
we just need to minus 10 with 5.5 so that we can find d
Need help !! Due today
Answer: all my caculations are leading me to B
Answer:
I think its either C or D. Hope this helps, give brainliest if correct!
The dimensions of a drawer are:
height = 2x + 3 inches, length 52 + 2 inches and
width 3x – 2 inches. What is the volume of the drawer?
Answer:
Hope you find the help you need on this sorry , i couldnt find the answer :( good luck !!
Step-by-step explanation:
HELPP this hard IMAO
Answer: The answer is 50.24 SQAURE INCHES.
Step-by-step explanation: So this circle is even. 8 up and down. * to the right and left. Now the area needs to be found. If the diameter is 8 inches, your answer should be 50.24 SQUARE INCHES.
How many people will 1 cup of rice serve?
Answer:
4
Step-by-step explanation:
Answer:
it will serve 3 people!
Step-by-step explanation:
divide 6 by 2!
hope this helped!
for brainliest!
2.
(04.01 LC)
Which of the tables represents a function? (5 points)
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer: the awnser is B
Image Above.........
Answer:
4 : 39
5 : 52
6 : 67
7 : 77
Step-by-step explanation:
Evaluate -x+23y if x=9 and y=2
Answer:
The answer is 37
Please help me answer this :)
Explain your answer
Will give brainiest
Answer:
d. 770
Step-by-step explanation:
35 gallons per min
after 12 mins there is 350 gallons of water
35 x 12 = 420
how much water was in the tank BEFORE the valve was opened
350 + 420 = 770
PLEASE HELP ME IN SUPER CONFUSED!
Represent the following sentence as an algebraic expression, where "a
number" is the letter x. You do not need to simplify.
Twice the difference of a number and 3.
Answer:
x-3*2
Step-by-step explanation:
3d - 5+4d +5=140 how do i solve this i need help
Answer:
3
−
5
+
4
+
5
=
1
4
0
3d{\color{#c92786}{-5}}+4d+{\color{#c92786}{5}}=140
3d−5+4d+5=140
3
+
4
=
1
4
0
3d+4d=140
3d+4d=140
2
Combine like terms
3
+
4
=
1
4
0
{\color{#c92786}{3d}}+{\color{#c92786}{4d}}=140
3d+4d=140
7
=
1
4
0
{\color{#c92786}{7d}}=140
7d=140
3
Divide both sides of the equation by the same term
7
=
1
4
0
7d=140
7d=140
7
7
=
1
4
0
7
\frac{7d}{{\color{#c92786}{7}}}=\frac{140}{{\color{#c92786}{7}}}
77d=7140
4
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
=
2
0
d=20
d=20
Solution
=
2
0
hope it help
Step-by-step explanation:
Answer:
the answer is 20
Step-by-step explanation: combine like terms
7d = 140
then divide
140/7
20
-2(7-15)
What is the value of
?
4
O 4
0 -2
O 2
O 4
Please help me with this question
Answer:
The answer would be C
Step-by-step explanation:
The reason it is C, is because, if you add 13 to 3, you would get 16. Then, by dividing that by 2, you would get the desired answer of 8.
Answer:
c
Step-by-step explanation:
I just know because I worked it out on paper
x2 - 4x + y2 - 21 = 0 The equation in standard form is
A line passes through (-6, 10) and (4, -10). What is the slope?
Evaluate x + y , for x = 8 and y = -15
A. 7
B. 23 15 POINTS!
C. -7
D. -23
Jennifer deposits $80 into an investment account with a rate of 4%, compounded annually. The equation y = 80(1 + 0.04)x can be used to determine the number of years, x, it takes for Jennifer’s balance to reach a certain amount of money, y. Jennifer graphs the relationship between time and money. What is the y-intercept of Jennifer’s graph?
(0, 80)
(0, 0)
(80, 80)
(80, 0)
Answer:the answer is A: (0,80)
Step-by-step explanation:
Here is a rate: 12 feet in 3 hours.
Find the unit rate:
feet per hour
Answer:
4
Step-by-step explanation:
12 feet divided by 3 hours is 4
Answer:
4 feet per hour
Step-by-step explanation:
12 feet in 3 hours
12/3 = 4
4 feet in 1 hour
Assuming the lines are evenly spaced between the integers, what number, in decimal notation, is represented by the plotted point?
Answer:
-1.4
Step-by-step explanation:
There are five increments between -2 and -1, so we find the difference between -2 and -1, which is 1. Divide 1 by five (increments)=.2
This means that every increment is worth 0.2.
If we see it from the left to right, from -2, there are 3 increments to the right, so multiply three by 0.2 which is 0.6, add 0.6 to -2, which is -1.4.
Hope this helps!
Find the zeros of the function and state the multiplicities.
f(x)= -6x^3+26x^2-28x
Answer:
X=0 {multiplicity of 1}
X=2 {multiplicity of 1}
X=7/3 {multiplicity of 1}
Step-by-step explanation:
A company makes cylindrical candles by melting wax and putting into 3 inch diameter cylindrical jars one block of candlewax with a volume of 360 in.³ is used to make a box of 10 identical candles
I believe the answer is 1in
Answer: I said 1 inch. I am not 100% sure.
Step-by-step explanation:
After spending $19 dollars, Issac had twice as much money as Lara.
If Lara had $27, how much money did Issac have at first?
Answer:
73
Step-by-step explanation:
yes it is 73dddfmsmxk
Geometry Special Quadrilaterals show work please
Answer:
a = 16
w = 125
x = 120
y = 55
Step-by-step explanation:
FINDING 'a'
31 = a + 46 / 2
62 = a + 46
16 = a
FINDING 'w'
* This section looks Non-Isosceles trapezoid so I will be following the rule according it
w + 55 = 180
w = 125
FINDING 'y'
y = 55
- Because of corresponding angles
FINDING 'x'
* In this case it looks like we are still dealing w/ an non-isosceles trapezoid.
x + 60 = 180
x = 120
Hope this helped ^^
(Please inform me of any mistakes or misunderstandings!)
(can u guys help me PLSSSSS ) A company sets sales goals for employees each month.
A: At her current pace, how many items will Kristina sell in 28 days?
B:Is she on track to meet the goal? Explain
Find the percent increase from 85 to 125
Answer: 47.06
Step-by-step explanation: math
1/2x(6x1x7)+11 show how to solve this problem
Answer:
32
Step-by-step explanation:
first multiply 6×1.
1/2×(6×7)+11
Then multiply 6×7
1/2×42+11
Third you multiply 1/2 and 42
1/2×42= 21
finally you add together 21+11
21+11= 32
When you add 98 to a number you usually...
Aneser:
+98
Step-by-step explanation:
when you are adding something to something to something else u put a plus sign to add it hope this helps