Answer:
If an inequality constraint holds as a strict inequality at the optimal point (that is, does not hold with equality), the constraint is said to be non-binding, as the point could be varied in the direction of the constraint, although it would not be optimal .There are two types of inequality constraints: limits on variables, often called explicit constraints such as Equation.The following table will make you even clear!
Speed limit Legal speed on the highway ≤ 65 miles per hourCredit card
Monthly payment ≥ 10% of your balance in that billing cycleText messagingAllowable number of text messages
per month ≤ 250Travel timeTime needed to walk from home to school ≥ 18 minutes
who is popularly known as the father of economics
Answer:
Adam smith
he is known as father of economics.
hope it helps
Answer:
Adam Smith
Step-by-step explanation:
How is the answer 100.48 ?? Someone explain I'm confused
Use the following formula:
[tex]A=2\pi rh+2\pi r^{2}[/tex]
Take the value of [tex]\pi[/tex] as 3.14 and add the values in the formula:
[tex]A=2(3.14)(2)(6)+2(3.14)(2)^{2}[/tex]
[tex]A=75.36+25.12[/tex]
[tex]A=100.48[/tex]
I hope this helped :)
Round to the nearest hundredth hellpppp
Answer:
[tex]v=1/3\pi r^2h[/tex]
[tex]v=1/3(3.14(7)^2(7)[/tex]
[tex]v=359.01 ~units^3[/tex]
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hope it helps...
have a great day!!
How do I find the length
A car wash detailed 264 cars in 8 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
33
Step-by-step explanation:
264/8= 33
Find all angles, o<Θ<360, that satisfy the equation below, to the nearest 10th of a degree.
4cos^2Θ-2=-1
Answer:
30° and 150°
Step-by-step explanation:
We want to find the angles in the range:
0° < θ < 360°
Such that:
4*cos^2(θ) - 2 = 1
The first part is to isolate the variable θ in one side of the equation, let's do that:
4*cos^2(θ) = 1 + 2 = 3
cos^2(θ) = 3/4
cos(θ) = ± √(3/4) = ± (√3)/2
Then we have two possible values of θ, one for:
cos(θ) = (√3)/2
And another for
cos(θ) = - (√3)/2
For both cases, we can use the inverse cosine function, Acos(x)
that has the property Acos( cos(x) ) = x
Then:
cos(θ) = (√3)/2
Acos( cos(θ) ) = Acos( (√3)/2)
θ = Acos( (√3)/2) = 30°
And for the other case we have:
θ = Acos( - (√3)/2) = 150°
Then the two values of theta are: 30° and 150°
(We can see that both of these values are in the range 0° < θ < 360°)
What is the formula for margin of error?The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply.
Answer:
d
Step-by-step explanation:
alguien me lo puede de hacer
Answer:
..........
Step-by-step explanation:
[tex]\pi[/tex]
After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent 525 80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt. How much money did Ashley bring to the mall
9514 1404 393
Answer:
$60
Step-by-step explanation:
The total she started with is the sum of the amount she spent and the amount remaining:
$25.80 +$9.25 +$18.85 +$6.10 = $60.00
Ashley brought $60.00 to the mall.
Answer:
The Total money she bring to mall is $ 60.
Step-by-step explanation:
Given that :-
After a shopping trip to the mall. Ashley saw $6.10 in her purse she spent $ 25.80 on a pair of shoes, 59.25 on a necklace, and $18.85 on a belt.
To find :-
How much money did Ashley bring to the mall ?
Solution :-
Total money she bring to the mall = sum of amount she spend and amount remaining.
Total money = $ 25.80 + $ 59.25 + $ 18.85 + $6.10
Hence, The total money she bring to mall is $ 60.00.
What is the difference between a factor and a solution?
Answer:
Step-by-step explanation:
A genuine number x will be called a arrangement in case it fulfills the condition meaning It is simple to see that the roots are precisely the x-intercepts of the quadratic work, that's the crossing point between the chart of the quadratic work with the x-axis
In the diagram below, JK is similar to MNO. If segment Mn is 8 cm, segment Bo is 18 cm, segment OM is 20 cm, and segment JK is 22 cm, how long is segment LJ?
Answer:
55 cm
Step-by-step explanation:
[tex]\frac{22}{8} =\frac{x}{20} \\8x=440\\x=55cm[/tex]
HELP!! Pauline Wong spends 3hours selling a used car and 5hours selling a new car. She works no more than 31hours per week. In order to receive a bonus, she must sell at least twoused car and twonew cars each week. In that case, she receives a bonus of $200for each used car and $300for each new car. How many new cars and how many used car should she try to sell to maximize her bonus? What is the maximum bonus?
a) Define the variables to use
b) Goal function
c) Constraints
Answer:
B)Goal Function
Suppose a monument in the center of your town casts a shadow that is 32 feet long. If the angle of elevation is 47°, what is the height of the monument?
Answer:
Step-by-step explanation:
Using the solution diagram below ;
Let height of monument = h
Using trigonometric relation :
Tan θ = Opposite / Adjacent
Tan 47 = h / 32
h = tan 47 * 32
h = 34.315 feets
h = 34.3 feets
What is the product of 4x2/3
[tex]\sf\purple{2.667}[/tex] ✅
Step-by-step explanation:
[tex]4 \times \frac{2}{3} \\ = \frac{4 \times 2}{ 3} \\ = \frac{8}{3} \\ = 2.667 [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
Circle O is shown below. The diagram is not drawn to scale.
If m∡R = 24°, what is m∡O?
48°
96°
24°
12°
The measure of angle O (m∠O) is 48°. The correct option is the first option- 48°
Circle GeometryFrom the question, we are to determine the measure of angle O
From one of the circle theorems, we have that
The angle at the center is twice the angle at the circumference
∴ m∠O = 2 × m∠R
From the diagram, m∠R = 24°
Then,
m∠O = 2×24°
m∠O = 48°
Hence, the measure of angle O (m∠O) is 48°. The correct option is the first option- 48°
Learn more on Circle Geometry here: https://brainly.com/question/21872415
#SPJ2
What is the radius of a sphere with a volume of 3675 m^3, to the nearest tenth of a meter?
Answer:
9.57m
Step-by-step explanation:
Answer:
Other person's wrong, I tried their answer. It's actually 9.6. They would've been right but they rounded to the nearest HUNDREDTH. Not tenth.
The sum of two numbers is 24.The difference of their square is 144.what are the two numbers?
Answer:
9 and 16
Step-by-step explanation:
let the two numbers are X and Y
X+Y=24
X^2-Y^2=144
solve simultaneously
Ngân hàng trung ương bán trái phiếu chính phủ
Answer:
Trong hoạt động mở, Fed mua và bán chứng khoán chính phủ trên thị trường mở. Nếu FED muốn tăng cung tiền, nó sẽ mua trái phiếu chính phủ. ... Ngược lại, nếu FED muốn giảm cung tiền, nó sẽ bán trái phiếu từ tài khoản của mình, do đó thu về tiền mặt và loại bỏ tiền ra khỏi hệ thống kinh tế.
Step-by-step explanation:
em yêu
True/False. Every member of a food web is the prey of another member of the food web.
true
Producers --> Consumers --> Primary consumers --> Secondary consumers -->
Tertiary consumers --> Quaternary consumers --> Decomposers --> Producers
and the cycle keeps repeating
Hope it helps...
5x+3y=27
7x+9y=51
I'll give brainliest
Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)
Answer:
-3(6/8+9/8)+4 2/5
Step-by-step explanation:
You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.
Find the distance between the points (15,-6) and (10,3). I need to show my work PLEASE HURRY 15 points CORRECT ANSWERS ONLY PLEASE
Step-by-step explanation:
d = √(15-10)²+(-6-3)²
=√5²+(-9)²
= √25+81
=√106
10.3 units
5. Simplify the problem in the picture.
Answer:
The answer is 3k^2m^6/4
Which is the simplified form of the expression
Answer:
4 / x¹⁴y⁸
Step-by-step explanation:
eliminate parenthese by multiplying all exponents inside parentheses by the exponent outside the parentheses:
1/2⁶ ÷ 1/4⁴ = 1/64 ÷ 1/256 which equals 256/64 or 4
x⁻⁶y⁴ ÷ x⁸y¹² = x⁻¹⁴y⁻⁸ = 1/x¹⁴ · 1/y⁸
put it all together to get:
4÷(x¹⁴y⁸)
why 13/4hr and 4hr are equal ?
Answer:
they are not equal
Step-by-step explanation:
13/4 hour is 3hour and 15 minutes
Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).
A) (-9/7,0), (3/8,0)
B)(-7/9,0), (8/3,0)
C) (-3/8,0), (°/7,0)
D) (-8/3,0), (7/9,0)
Answer:
A) (-9/7,0), (3/8,0)
Step-by-step explanation:
Zeros of a quadratic function:
x for which y = 0.
In this question:
[tex]y = 6(7x + 9)(8x - 3)[/tex]
It's 0 if one of the factors is 0. 6 is never 0, now about the other to:
[tex]7x + 9 = 0[/tex]
[tex]7x = -9[/tex]
[tex]x = -\frac{9}{7}[/tex]
So (-9/7, 0) is a zero of the quadratic function.
The other is:
[tex]8x - 3 = 0[/tex]
[tex]8x = 3[/tex]
[tex]x = \frac{3}{8}[/tex]
(3/8,0) is the other zero.
Thus, the correct answer is given by option A.
Please help! Image attached!
Number 1 is 5y = 50
Number 2 is h = 7
Number 3 is multiplication
Number 4 is addition
Does the point (5, 24) lie on the line y = 5x - 1?
Answer:
Step-by-step explanation:
Because 5x - 1 = 55 - 1 = 24 = y
Answer:
YesStep-by-step explanation:
[tex]( 5 \: \: \: \: \: \: \: \: 24) \\ replace \: \: \: x \: \: \: and \: \: y \\ y = 5x - 1 \\ 24 = 5 \times 5 - 1 \\ 24 = 25 - 1 \\ 24 = 24[/tex]
The point (5, 24) lie on the line y = 5x - 1An infinite sheet of charge, oriented perpendicular to the x-axis, passes through x = 0. It has a surface charge density ?1 = -4.6 ?C/m2. A thick, infinite conducting slab, also oriented perpendicular to the x-axis occupiees the region between a = 2.8 cm and b = 4.5 cm. The conducting slab has a net charge per unit area of ?2 = 60 ?C/m2.
1) What is Ex(P), the value of the x-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 2)
2) What is Ey(P), the value of the y-component of the electric field at point P, located a distance 6.3 cm from the infinite sheet of charge?N/C 3)
3) What is Ex(R), the value of the x-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 4)
4) What is Ey(R), the value of the y-component of the electric field at point R, located a distance 1.4 cm from the infinite sheet of charge?N/C 5)
5) What is b, the charge per unit area on thesurface of the slab located at x = 4.9 cm??C/m2 6)
6) What is Ex, the value of the x-component of the electric field at a point on the x-axis located at x = 3.64 cm ?N/C 7)
7) What is ?a, the charge per unit area on the surface of the slab located at x = 2.8 cm??C/m2 8)
A golf course charges $10 to golf or $150 for a summer pass. Write an inequality to represent the number of times x you would need to golf in order for the summer pass to be a better deal. Use x as the variable.
Answer:
An inequality to represent the number of times you would need to golf in order for the summer pass to be a better deal is:
10x> 150
Step-by-step explanation:
hope this helps <3
