What is a constraint in math? For what situations would they be useful?

Answers

Answer 1

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer 2

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation


Related Questions

Victor borrowed money at 5.25 percent simple annual interest. At the end of the year, the interest on the loan $255.94. What was the amount of the loan?

Answers

Answer:

$243.17

Step-by-step explanation:

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

Early in November, it was 37​ O​ F on a particular day. The temperature has dropped 2​ O​ F every day since then. It is now -11​ O​ F. How many days have passed since it was 37​ O​ F outside?

Answers

14 days have passed since it was 37°F outside.

On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles

Answers

Answer:

X = 5

Step-by-step explanation:

When the lines are parallel, the corresponding angles are equal in measure then:

m<2 = m<6

7x - 5 = x + 25

7x - x = 25 + 5

6x = 30

x = 5

The function g(x) is defined as shown.
What is the value of g(0)?

Answers

Plug it into the second one and you should get -1

Find the slope of the line that passes through (9,6) and (1,3)

Answers

Answer:

3/8

Step-by-step explanation:

Slope m = (y2-y1) / (x2-x1)

= (3-6) / (1-9)

= (-3) / (-8)

= 3/8

What is the missing exponent

Answers

Answer:

x^5 is the missing

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale. If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all? Which numerical expression can you write to find the number of scoops? Ginger will use scoops in all.

Answers

Given :

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

To Find :

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

Solution :

Let, Ginger makes x pitchers of power smoothies :

[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]

Therefore, number of scoops Ginger used is 84.

Hence, this is the required solution.

Heeeeeeeeeeeeeeeeeeeelp asap due today at 7

Answers

Answer:

1. 3 hours

2. i cant figure this one out

Step-by-step explanation:

Answer:

Haha

Step-by-step explanation:

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bertertgetfhjgeyfguiwrehodvqeiir

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Given that m=r-s/2nr

Make r the subject .

PLEASE I NEED IT NOW.

THANK YOU . WHOEVER ANSWERS FIRST I WILL GIVE A FOLLOW AND BRAINLIEST

Answers

Step-by-step explanation:

[tex]m = \frac{r - s}{2nr} [/tex]

m(2nr) = r-s

2×n×r×m = r-s

move the r on the right side to the left side

2nrm - r = -s

r ( 2nm - 1 ) = -s

[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]

Answer:

I think it will help you

if 1 bag of popcorn would fill 2 paper bags, and i have 24 bags of popcorn, how many paper bags do i have? ( please help!! urgent aahhh )

Answers

Answer:

48

Step-by-step explanation:

1 b = 2p

24 b = 48  p

award brainliest if this helped! :)

On her first science test, Whitney scored a 92%. On the second test, she scored an 80%. What is the approximate percent of decrease in her score?

Answers

Answer:

Step-by-step explanation:

Decrease = 92 - 80 = 12

Percent of decrease in her score = [tex]\frac{12}{92}*100\\[/tex]

                                                       = [tex]\frac{1200}{92}\\[/tex]

                                                       = 13.04

                                                      = 13 %

Answer:

it would be a 12 percent

Step-by-step explanation:

Robin has read 3/4 of a book. Mark said he had read 1/2 as much as Robin. What fraction of the book has mark read.

Answers

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

convet one solar day into second​

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

1Solar day consists of 24 hours1hr =3600sec24hr=?(24)(3600)=86400secplease mark my answer

What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?

Answers

Answer:

The same thing would happen over and over again.

A race dog is initially running at 10 m/s but is slowing down. How fast is the dog moving when its kinetic energy has been reduced by half?
5.37 m/s
7.07 m/s
5.00 m/s
6.10 m/s

Answers

Answer: 7.07 m/s

Step-by-step explanation:

I took the quiz and that was the correct answer 5 is wrong

The speed of the dog at half of its kinetic energy is 7.07 m/s. The correct option is (B).

What is Proportionality?

When two quantities have some dependence in their values they can be said proportional to each other.

It can be of two types such as direct and indirect.

The direct proportionality means the values of both the quantities are increasing or decreasing at the same time while the indirect proportionality implies value of one quantity is increasing while the other is decreasing.

Given that,

The present speed of the dog is 10 m/s.

Suppose the mass of the dog be m kg.

Since, the kinetic energy of an object is given as K = 1/2mv².

As per the question, the following expression can be written,

Initial energy, K₁ = 1/2m × 10²

                           = 50m

Final energy, K₂ = K₁/2

                           = 50m/2

                           = 25m

Using the expression for kinetic energy,

1/2mv² = 25m

=> v² = 50

=> v = √50

       = 7.07

Hence, the speed of the dog when its kinetic energy is reduced to half is 7.07 m/s.

To know more about proportionality click on,

brainly.com/question/22620356

#SPJ2

Solve the system by substitution.
Y = 10x
7x + 3y =
37

Answers

Answer:

x=1 , y=10

Step-by-step explanation:

i attached photo of steps of solution

h e l p

Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.

What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?

Answers

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan

Pentagons ABCDF and JKLMN below are similar, but not necessarily drawn to scale. Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm Find the values of x and y. A x = 40 mm, y = 150 mm B x = 1.6 mm, y = 6 mm C x = 40 mm, y = 6 mm D x = 24 mm, y = 14 mm

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to answer a similar question.

We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.

From the image attached, we can see the lengths of the sides, hence we can find the values of x.

[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]

y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.

Answers

y-6 =4 (1-4)

y-6=-12

y=-6

Answer:y= -6

There are 12 months in a year and 52 weeks in a year. What is the ratio of months to weeks in one year? A 6/27 B 3/13 C. 13/3 D. 27/6​

Answers

Answer:

B.

Step-by-step explanation:

12/52=6/26=3/13

ario made a deposit in an account that earns annual interest. His account balance, in dollars, after t years is represented by the expression 400⋅1.05t . Yvonne made a deposit in an account that earns annual interest. Her account balance, in dollars, after t years is represented by the expression 300⋅1.06t . Which statement describes the situation correctly? A. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent more annual interest than Mario’s account. B. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent less annual interest than Yvonne’s account. C. Mario deposited 100 dollars more than Yvonne, and Yvonne’s account earns 1 percent less annual interest than Mario’s account. D. Yvonne deposited 100 dollars more than Mario, and Mario’s account earns 1 percent more annual interest than Yvonne’s account.

Answers

Answer:

nothing at all.

Step-by-step explanation:

the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches

Answers

Answer:

Step-by-step explanation:

The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?

Answers

Answer:

I'm so sorry I can't help

PLEASE HELP I ONLY NEED# 8,10,12,19,20 AND 22 DONE ​

Answers

This is the answer hope you get it :)

A straight angle measures (5x - 50) degrees. What is the value of x?

Answers

Answer:

26

Step-by-step explanation:

180-50=130

130/5=26

I believe.


2 + 29m - 9m - 5 =
HELP

Answers

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

Which could be the first step in solving this equation?
5x + 4x - 72
A)
Combine like terms.
B)
Add 9x to both sides of the equation
0)
Subtract 72 from both sides of the equation
D)
Subtract 5x from both sides of the equation

Answers

A combine like terms
Hi :)

The answer is A

Because 5x and 4x have the same variable, we can add them together

Hope this helps :)

3. John has $500 and wants to buy a used car but does not have sufficient money.
He decides to save $80 per week for a number of weeks to make up the deficit.
a. Given that he has $500 at the beginning of the first week, how much will he
have saved at the end of the 2nd, 3rd, 45, and 5 weeks?
b. Make a graph to represent the pattern from part a.
c. Create a function that represents the relationship between weeks (w) and
money (m)
d. Explain each part of your function.

Answers

Answer:820

Step-by-step explanation:

Since he got $500 the first week multiply 80x4 which is 320+500 is 820$

A hot air balloon went from an elevation of 5,340 ft to an elevation of 3,436 ft in 32 minutes what was its rate of descent?

The rate of descent was ____ feet per minute.


Please help ASAP my assignment is due in less then an hour.​

Answers

Answer

The rate of descent was 59.5 feet per minute

Step-by-step explanation:

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