What is the maximum value of the objective function, P, with the given constraints?

P=20x+35y


x+y≤12
5x+y≤20
x≥0
y≥0




80

390

420

700

It depends on how t is approaching 2.

In fact, if you consider the right limit, you have

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{|t-2|} [/tex]

But since t is greater than 2, t-2 is positive, and thus |t-2| = t-2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{t-2} = \lim_{t \to 2^+} -1 = -1 [/tex]

On the other hand, if you consider the left limit, you have

[tex] \displaystyle \lim_{t \to 2^-} \dfrac{2-t}{|t-2|} [/tex]

But since t is less than 2, t-2 is negative, and thus |t-2| = -t+2.

So, the limit becomes

[tex] \displaystyle \lim_{t \to 2^+} \dfrac{2-t}{-t+2} = \lim_{t \to 2^+} 1 = 1 [/tex]

So, this limit does not exist, because the left and right limits exist but are not the same.

Hello, here are the fraction forms for this equation

Irrational fraction form; -153/20

Mixed number form; -7 13/20

Hoped this helped

The answer to 32.436 divided by -4.24 is approximately -7.65. However, the conversion of this decimal to a fraction gives us approximately -77/10.

To answer the question, 32.436÷(-4.24) as a fraction, first, we should perform the division operation. The division of a positive number by a negative one will give a negative result. Hence, 32.436 divided by -4.24 is -7.65 approximately.

The answer as a decimal is -7.65. However, translating this decimal to a fraction isn't straightforward while keeping it a meaningful fraction, because 7.65 isn't easily expressed as a fraction. If you needed to express it as a fraction, you might round this to -77/10. But it's important to note it's an approximation, not exact.

Thus, 32.436÷(-4.24) becomes approximately -77/10 when expressed as a fraction.

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The error happens in step 2 when the person decided to add 2+3 to get 5. The order of operations PEMDAS says that we have to do multiplication (M) before addition (A). So this is what the steps should look like:

2+3*(5+4)

2+3*9

2+27

29

The proper answer is 29

Solution: The another way to show the Fuaad's solution is [tex]x>7[/tex].

Explanation:

It is given that the solution of an inequality is [tex]-12<x>7[/tex].

It can be break in two parts [tex]-12<x[/tex] and [tex]x>7[/tex].

The inequality [tex]-12<x[/tex] means the values of x is greater than [tex]-12[/tex] and the inequality [tex]x>7[/tex] means the value of x is greater that than 7.

When we combine both results we get [tex]x>7[/tex] it means the value of x is greater than 7.

It can also represented by number line as shown in given figure.

The number line shows the values of x and red lines shows the solution of both inequalities [tex]-12<x[/tex] and [tex]x>7[/tex].

The common region shows the combination of both the possible inequalities, therefore the  another way to show the Fuaad's solution is [tex]x>7[/tex].

Answer:

C (btw its x less than 7)

Step-by-step explanation:

Becuase the first option represents that the arrows go separate ways to infin.

the second option states that one variable is greater than of equal to and the other is only <

the third correctly shows and represents the inequality

the fourth one has the OR which means a number that is plugged in only needs to satisfy one of the inequalities which is not the point.

Cost of producing and selling x tables is given by the function C(x)=50x+3000

x is the number of tables produced

Each table is sold for $70

So selling price of x tables S(x) = 70x

Now we find the number of table must be sold for the firm to break even

Break even occurs when selling price = cost price

That is S(x) = C(x)

70x = 50x + 3000

Subtract 50x on both sides

20x = 3000

x = 150

150 tables  must be sold for the firm to break even

Hey there,

So the answer is 13.

The explanation is:

We are asked to find f(10), so let's evaluate this function at 10 by plugging this in for x.

So, as we know about the 10, the f(x) is going to be this- f(10).

We put f(10)= 10 over 2 + 8= 5+8 = 13

We have to flip the 8.

So you answer should be 13

Hope this helps...

-Justin0208

Answer: Option a) 33 1/3 lbs

Solution:

Be

Attraction force (F) varies inversely as the square of the distance between them:

F=k/d^2

Constant of proportionality: k

Distance between the two masses: d

F=75 lbs when d=8 feet

Replacing in the formula above:

F=k/d^2

75 lbs=k/(8 feet)^2

Squaring in the denominator:

75 lbs=k/(64 feet^2)

Solving for k: Multiplying both sides of the equation by 64 feet^2:

(64 feet^2)(75 lbs)=(64 feet^2)[k/(64 feet^2)]

4,800 lbs*feet^2=k

k=4,800 lbs*feet^2

F=k/d^2

F=4,800 lbs*feet^2/d^2

Find the attraction when the masses are twelve feet apart:

F=?

d=12 feet

Replacing in the formula:

F=4,800 lbs*feet^2/(12 feet)^2

Squaring in the denominator:

F=4,800 lbs*feet^2 / (144 feet^2)

Dividing:

F=(4,800/48)/(144/48) lbs

F=100/3 lbs

F=(99+1)/3 lbs

F=(99/3+1/3) lbs

F=33 1/3 lbs

Final answer:

Using Newton's inverse square law for gravitational force, it is determined that the force of attraction will be a) 33 1/3 lbs when the distance between the masses is increased from 8 to 12 feet.

Explanation:

The scenario described falls under the gravitational force law stated by Isaac Newton, which is a fundamental concept in Physics. The force of gravity between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them (F ∝ 1/d²). We are given that the gravitational attraction is 75 lbs when the bodies are 8 feet apart. To find the force at a distance of 12 feet, we use the inverse square law which indicates that increasing distance reduces gravitational force.

Let F1 be the initial force and d1 be the initial distance, and let F2 be the force at a new distance d2. According to the inverse square law, we have F1/F2 = (d2/d1)². Plugging in the values F1 = 75 lbs, d1 = 8 feet, and d2 = 12 feet, we get 75/F2 = (12/8)² = 2.25. Solving for F2, we find that F2 = 75 / 2.25 = 33.33 lbs.

Therefore, the gravitational attraction when the masses are twelve feet apart is 33 1/3 lbs.

y = - 5

substitute the value of x = 4 into the equation and solve for y

- 12 + 9y = - 57 ( add 12 to both sides )

9y = - 45 ( divide both sides by 9 )

y = [tex]\frac{-45}{9}[/tex] = - 5

-3(-4)+9y=-57

12+9y=-57

9y=-57-12

9y=-69

9y/9=69/9

y=-23/3

what does the table look like

In the given scenario, the dependent variable is the daily number of tickets sold at the adventure fun park where Maya works. This changes based on the independent variable, which is the daily high temperature.

In the scenario where Maya works at an adventure fun park and notices a change in the daily number of tickets sold depending on the daily high temperature, the dependent variable is the daily number of tickets sold at the park. This means that the number of tickets sold relies on or 'depends on' another factor, which in this case, is the daily high temperature. The daily high temperatures are the independent variable - the variable that signifies what changes can impact the other variable, the dependent variable.

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To convert a percent to a decimal, you divide by 100.

60% = 0.60

If x is the unknown number, the word is means equal

84 = 0.60 * x

Divide both sides by 0.60

84/0.60 = (0.60/0.60)* x = x

140 = x

x * .60 = 84

x = 84 / .60

x = 140

Answer:

y = -2

Step-by-step explanation:

Since the line is horizontal, all points have the same y-coordinate, -2. The y-intercept is the point (0, -2), so b = -2. The line is horizontal, so the slope is m = 0 which is given.

Use the slope-intercept form of the equation of a line and plug in the information you have.

y = mx + b

y = 0x + (-2)

y = -2

[tex]2 - 4(x + 7) = 3 + 2 (x + 2)\\\\2-4x-28=3+2x+4\\\\6x=-33\\\\x=-\dfrac{33}{6}=-\dfrac{11}{2}[/tex]

I might be right or not but i am 50% sure that the answer is:

6 kilometers.

please tell me if im wrong!

Answer:

Likely 6 kilometers, sorry if I am incorrect.

Step-by-step explanation:

If this is measuring displacement, it SHOULD be 6 km

7.33=7.30

2.66=2.70

6.88=6.90

4.71=4.70

4.13=4.10

4.77=4.80

1.76=1.80

3.98=4.00

3.44=3.40

3.66=3.70

hope i could help ya out!! :)

Questions is asking about what is the smallest power of 10 that would exceed 234,567,890.

To find that first we need to check how the powers of 10 changes the size of number. So let's find poers of 10 as shown below:

[tex]10^1=10[/tex]

[tex]10^2=100[/tex]

[tex]10^3=1000[/tex]

[tex]10^4=10000[/tex]

[tex]10^5=100000[/tex]

[tex]10^6=1000000[/tex]

[tex]10^7=10000000[/tex]

[tex]10^8=100000000[/tex]

On this pattern we see that as the exponent increases by 1 then a zero increases in the output.

In given number 234567890, there are 9 digits. So we need at least 9 zeroes which is

1000000000 or [tex]10^9[/tex]

Clearly 1000000000 exceeds 234567890.

Hence the final answer is that exponent of 10 will be 9.

Answer:

$13,230

Step-by-step explanation:

you need to multiply the cost of the ticket by the amount of tickets sold,

630 x 21 = $13,230

It can't be factored due to many reasons.

I hope this helps. :)

3x^3 - 4x^2 - 15x - 20

Cannot be factored.

Hope that helps

60/4=15 and 20/4=5 there were 4 cast members at the party and they each ate 15 carrot sticks, your welcome

The cast members might have been at the party are

Something to eat or drink during an event such as a meeting or party. . A more alert and comfortable state, especially after eating or drinking.

Finally the word "refreshment". While English adapted the term in the 15th century from several Gallic sources, according to the OED it meant the physical refreshment of a person or thing  by  food, drink, rest, coolness, etc.

Enjoying refreshment is a welcome break in the world of the day, and it also means that we leave working time for social elements, sharing coffee improves the  mood and has a uniting effect, we are better able to deal with problems that arise within the team.

To learn more about refreshment, refer;

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Hi!

[tex]2x-1=\frac{3}{4x+9}[/tex]

[tex]2x(4x+9)-1*(4x+9)=\frac{3}{4x+9}(4x+9)[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]2x(4x+9)-(4x+9)=3[/tex]

[tex]x=\frac{\sqrt{145-7} }{8},x=-\frac{7+\sqrt{145} }{8}[/tex]

[tex]x=\frac{\sqrt[]{145-7} }{8}, or x=-\frac{7+\sqrt{145} }{8}[/tex]

Explanation: First you had to multiply by 4x+9 from both sides. Then simplify, it gave us 2x(4x+9)-(4x+9)=3. Next you can also solve 2x(4x+9)-(4x+9)=3. And the answer it gave us is x=√145-7/8 or x=-7+√145/8 is the right answer. Hope this helps! And thank you for posting your question at here on Brainly. And have a great day. -Charlie

Is it 20?? I'm severely confused by this question too lol.

Answer

0.9063

Step-by-step explanation:

(100.7)*(0.009)

The result of multiplying 100.7 by 0.009 and rounding to the hundredths place is 0.91, considering that you round up when the next digit is 5 or greater.

When multiplying 100.7 by 0.009, a calculator might show an extended result such as 0.9063. However, if we need to report our answer rounded to the hundredths place, we would need to consider the digit in the thousandths place to determine whether to round up or down. In this case, the digit to be dropped is a 7, which is greater than 5, so we would round up for our final answer.

Thus, after rounding, the final answer would be 0.91.

1 gallon - 3.5 $

x gallons - 15 $

X= (1×15)/3.5=4.3

You can't buy a third of gallon, so the maximum number is 4

Answer: 4 gallons

Make an equation to solve this problem. The cost of a gallon of orange juice is $3.50, so we can show this using the expression 3.50o, where o represents the number of gallons of orange juice that someone buys.

We can put the expression 3.50o into an equation, and make the expression equal to 15 because that is the amount of money you supposedly have.

3.50o = 15, divide both sides of the equation by 3.50.

o = 4.28571428571, but you cannot have a fraction or decimal of a gallon of orange juice, so we would always round these kinds of problems down to the nearest whole number.

4.28571428571 rounds down to 4 gallons of orange juice, so the answer is 4 gallons of orange juice is the maximum amount you can buy with $15.

-0.533333333

-hope this helps

it is y cause i just did that with my student