HELP ME THIS THE LAST ONE AND THEN I AM DONE PLS HELP BTW I COULDN’T TAP ON THE LINK THAT U GAVE ME I FORGOT UR NAME

Using linear programming, we will purchase 113 compact fluorescent light bulbs and insulating 1400 square feet of exterior walls will cost $1912.50 and save $900 per year in energy costs.

Let x be the number of compact fluorescent light bulbs and y be the number of square feet of insulation. The following system of inequalities can be used to model the constraints:

4x + y ≤ C (total cost constraint)

2x + 0.2y ≤ 900 (energy savings constraint)

x ≥ 0 (non-negative constraint for light bulbs)

y ≥ 0 (non-negative constraint for insulation)

where C is the total amount that can be spent on light bulbs and insulation.

To maximize the amount spent while saving no more than $900 per year, we want to maximize the cost C subject to the above constraints. This can be formulated as the following linear programming problem:

Maximize: C

Subject to:

4x + y ≤ C

2x + 0.2y ≤ 900

x ≥ 0

y ≥ 0

Using a linear programming solver, we find that the optimal solution is:

a. compact fluorescent light bulbs: x = 112.5 (rounded up to 113)

b. insulation ft^2: y = 1400

c. total cost: C = $1912.50

d. energy costs savings per year: $900 (the maximum allowed)

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Point C is located at -1 3/8

Hope that helps!

Answer:

116 months

Step-by-step explanation:

A $659,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by:

y = 659,000 − 1800x

After how many months will the value of the building be $450,200?

y = 659,000 − 1800x

450,200 = 659,000 − 1800x

subtract 659,000 from both sides:

450,200 - 659,000 = 659,000 − 1800x - 659,000

-208,800 =  − 1800x

divide both sides by -1800:

-208,800/1800 =  − 1800x/1800

116= x

so:

x  = 116

Answer:

Please check the explanation.

Step-by-step explanation:

1)

From the graph, taking the two points

(3, -5)

(-3, 5)

The slope between (3, -5) and (-3, 5) will be:

\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)

\(m=\frac{5-\left(-5\right)}{-3-3}\)

\(m=-\frac{5}{3}\)

Therefore, the slope is:

\(m=-\frac{5}{3}\)

2)

1ST METHOD

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

From the graph, it is clear that:

at x=0, y=0

Thus, the y-intercept is: (0, 0)

2ND METHOD

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

where 'm' is the slope and 'b' is the y-intercept

substituting the point (3, -5) and m=-5/3 in the slope-intercept form

\(y=mx+b\)

\(-5=\frac{-5}{3}\left(3\right)+b\)

\(\frac{-5}{3}\left(3\right)+b=-5\)

\(-5+b=-5\)

\(b=0\)

Thus, the y-intercept is: (0, 0)

3)

We know that the slope-intercept form of the line equation is

\(y=mx+b\)

substituting m=-5/3 and b=0 to determine the equation line in the slope-intercept form

\(y=\frac{-5}{3}x+0\)

Therefore, the equation line in the slope-intercept form is:

\(y=\frac{-5}{3}x+0\)

where m=-5/3 and b=0

Answer:

x = -3

Step-by-step explanation:

Axis of symmetry is the vertical line that divides the parabola into two equal halves and it passes through the vertex of the parabola.

From the graph, Vertex (-3, 4)

Axis of symmetry:  x = -3

Answer:

They would have $3 dollars left over.

Step-by-step explanation:

If you divide 187 by 4, you get 46.75. But if you look again, you can see that the remainder is 3 and it can confirm that it is the left over money that the club has now after buying as many ice cream cartons as possible.

Answer:

2 terms

Step-by-step explanation:

The number of pairs of angles formed are about 7 types.

In the image given, when transversal t crosses the two lines, a and b, 8 angles are formed.

The pairs of angles formed are:

Therefore, there are about 7 types of pairs of each type of angles formed.

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The solution is:  the rate of change is 3.

Here, we have,

Since the graph of f(x) is translated 1 unit down, we need to decrease the value of f(x) by 1 to find g(x):

g(x) = f(x) - 1

f(x) = 3|x| – 4

so, we get,

g(x) = 3|x| – 4 - 1

      = 3|x| – 5

Now, to calculate the rate of change over the interval 2 <= x <= 5, we can use the formula below:

rate = g(5) - g(2)/ 5-2

so, we get,

rate = 9/3 = 3

Therefore the rate of change is 3.

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First, 90 + 90 = 180

Second, 320 - 180 = 140

Third, 140 / 2 = 70.

|                                90 * 70 = 6,300
|
|
| 90
|
|____________

         70

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

47.17 feet is the height of the building.

We can use the Pythagorean theorem to solve the problem:

Let h be the height of the building.

Then we have a right triangle with legs 20 and h, and a hypotenuse 50.

Using the Pythagorean theorem, we have:

\(50^2 = 20^2 + h^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(50^2 - 20^2)\)

h ≈ 47.17 feet (rounded to two decimal places)

Therefore, the height of the building is approximately 47.17 feet.

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The federation said it has noted with grave concern that the government proposed Electricity (Amendment) Bill, 2020 towards Privatization of the sector through You are allowed to do as much as is needed to end the perceived or actual threat to your rights. Not more, not less.

That means, at most, incapacitating the intruder. Once they are incapacitated, they no longer pose a threat. Your exact response will vary, according to what is actually going on:

If you are, for example, a trained martial artist, people will expect you to be able to pull your punches and assess what damage you do. Most martial arts do offer knockout blows, chokes, or “leg breakers” that will leave the adversary unable to fight. Once that person is down, call the cops.

If you are not trained in combat, you may prefer to be armed. Typically, the more potentially lethal the armament, the more restraint you need to exercise. So hitting someone with a 2 x  4 plank can be Ok… even hitting them on the head, in order to get a knockout blow. But keeping on hitting once the intruder is down is a no-go.

If you use potentially lethal weapons, such as firearms or knives, you will probably need to give some warning to the other guy that you are willing and able to get serious. As you are not obliged to put yourself in danger, this is balanced by who the other guy is: Some drunk teenager, or an armed and dangerous type? If they are armed, you can shoot first, because to give warning would mean to put yourself in jeopardy.

Whatever you do, your goal can only ever be to knock the fight out of the other guy. Get them down and call the cops. Anything else is no longer self-defense, but a crime in its own right.

So typically, the order of escalation would be

Try to scare off the intruder

If that doesn’t work, try to detain the intruder for long enough to have the cops handle it (like lock him/her in).

If that doesn’t work, try to incapacitate the intruder by whatever means are sure to result in the intruder no longer being a threat, while not putting yourself at undue risk. Again, what this means in detail depends on who you are and who the intruder is. If you’re 6′6″ and a martial artist, and the intruder is a drunk teenager, it will be viewed very differently from when you’re a slim, petite lady with no combat training whatsoever and the intruder is some kind of violent gang member. In one case, it might be perfectly reasonable to use a firearm, in the other, it probably wouldn’t. It is not possible to cover all options here, so use common sense.

That being said, it is also true that you need not suffer the intruder in your home. Which is why the usually easiest and best reaction to end the threat - running away - is not required by law.

Allowances are made for you being scared, and the law has mechanisms for dealing when the perceived threat is way above the actual threat (which is why pro burglars are almost never armed. Carrying a weapon not only increases the time they need to serve if caught, it also allows the other guy to shoot first, which would be a big mess).

Above all, your aim is never to kill, maim or injure. Your goal is to make the other guy stop the attack. The less force required for that, the better for everybody. transferring the asset created with public exchequer inclusive of natural resources to private houses.

The AIPEF has strongly opposed the approach of the government ventilated through the proposed "draconian anti-people electricity legislation with clear object of snatching away right of access to electricity from poor section of Indian people and peasants".

The federation said that it is evident that the bill is for ease of making business for the profit monger community and all aspects related to right to electricity for poor people has been set aside.

The polynomial -8m²n - 7m²n can be factored using the common factor -m²n. The complete factored form of the polynomial is (-m²n) (8 + 7a).

To find the complete factored form of the polynomial -8m²n - 7m²n, we can factor out common terms from both the terms. The common factor in the terms -8m²n and -7m²n is -m²n. We can write the polynomial as:

-8m²n - 7m²n = (-m²n) (8 + 7a)

Therefore, the complete factored form of the polynomial -8m²n - 7m²n is (-m²n) (8 + 7a). This expression represents the original polynomial in a multiplied form. We can expand this expression using distributive law to verify that it is equivalent to the original polynomial.

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Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

\(k=\frac{4}{7}\)

Step-by-step explanation:

The equation \(y=kx\) represents a proportional relationship that always passes through the origin. Excluding of the origin, you can plug any \((x,y)\) coordinate into this function to get \(k\).

Using the first coordinate, we have:

\(4=k(7),\\k=\frac{4}{7}\)

Verify that \(y=kx\) works for the other coordinates \(\checkmark\)

Thus, the value of constant \(k\) is \(\fbox{$\frac{4}{7}$}\).

3x + 3b = 12

Subtract 3x from both sides of the equation:

3x-3x+3b=12

3b=12-3x

Divide both sides by 3:

3b/3 = (12-3x)/3

b= 4-x

Step-by-step explanation:

a. For any function, in order for a vertical stretch to happen, a must be greater than 1 so the answer to a is

a>1.

b. For b, the graph will compress when a is between 0 and 1 but not equal to both.

So the answer to. b is

0<a<1.

c.A vertical stretch happens when a>1, a horinzontal compression also happens when a>1, if you confused let me explain

Consider the graph above. Let say we have a quadratic function

\((x - 3) {}^{2} \)

Let that be the parent function, if we stretch the function, a must be greater than 1 as we established in a.

In the fist picture, let say a=2.7

The function is stretched in the vertical direction

Now, let say if we affect x.

Here, let a=2.7 we know have

The function is being compressed when a>1, so that means that

we stretched vertically or compressed horizontally when a>1. It depends on the location of a. If a is outside the parenthesis, we will stretch by a factor of a. If a is I side the parenthesis, we will compress by a factor of a.

d. A must be negative or a<0

=======================================================

Explanation:

f(x) is continuous when x >= 1. The only discontinuity for f(x) is when x = 0, but 0 is not part of this interval.

f(x) is positive for any valid x value in the domain since x^6 is always positive. In general, x^n is positive for all x when n is any even number.

f(x) is decreasing. You can see this through a table of values or through a graph. For anything in the form 1/(x^k), it will be a decreasing function because x^k gets larger, so 1/(x^k) gets smaller, when x goes to infinity.

--------------------

The conditions to use the integral test have been met. So we have to see if \(\displaystyle \int_1^{\infty}f(x)dx\) converges or not.

Let's integrate and find out

\(\displaystyle \int \frac{1}{x^6} dx = \int x^{-6} dx\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{1+(-6)}x^{-6+1}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = \frac{1}{-5}x^{-5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5}*\frac{1}{x^5}+C\\\\\\ \displaystyle \int \frac{1}{x^6} dx = -\frac{1}{5x^5}+C\\\\\)

So we have

\(\displaystyle g(x) = \int f(x) dx\\\\\\\displaystyle g(x) = \int \frac{1}{x^6} dx\\\\\\\displaystyle g(x) = -\frac{1}{5x^5}+C\\\\\\\)

Meaning that,

\(\displaystyle \int_{a}^{b} f(x) dx = g(b)-g(a)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = \left(-\frac{1}{5b^5}+C\right)-\left(-\frac{1}{5a^5}+C\right)\\\\\\\displaystyle \int_{a}^{b} \frac{1}{x^6} dx = -\frac{1}{5b^5}+\frac{1}{5a^5}\\\\\\\)

If we plug in a = 1 and apply the limit as b approaches positive infinity, then the expression \(-\frac{1}{5b^5}+\frac{1}{5a^5}\) will turn into \(\frac{1}{5}\)

Therefore,

\(\displaystyle \int_{1}^{\infty} \frac{1}{x^6} dx = \frac{1}{5}\\\\\\\)

Because this integral converges, this means the series \(\displaystyle \sum_{n=1}^{\infty}\frac{1}{n^6}\) also converges as well by the integral test.

a. The finance charge on August 8 is given by: $3.69.

b. The new balance on August 8 is given by: $298.64.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context is needed in the problem.

A proportion is applied in this problem to find the finance charge, which is of 1.25% of 294.95, hence:

Finance charge = 0.0125 x 294.95 = $3.69.

Then the new balance on August 8 is obtained by the previous balance on July 8 added to the finance charge which we obtained above, hence it is of:

New balance = 294.95 + 3.69 = $298.64.

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Hi there! :)

\(\large\boxed{A = 22 \text{ , } M = 46 }\)

We can solve by setting both equations equal to the same variable.

We are given that M + A = 68 and M = A + 24. The easiest variable to set both equal to would be M.

Rearrange the first equation by subtracting A from both sides:

M = -A + 68

Now that both equations equal to M, we can set the two equal to each other:

-A + 68 = A + 24

Add A to both sides:

68 = 2A + 24

Subtract 24 from both sides:

44 = 2A

Divide both sides by 2:

A = 22.

Plug this back into an equation to solve for M:

M + 22 = 68

M = 68 - 22

M = 46.

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

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Answer:

C

Step-by-step explanation:

The red dotted line we see is the asymptote, which is a line that the functions will never cross.

The asymptotes we see currently is:

x = -3

and

x = 2

We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:

(x-2) (x+3)

If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.

Answer:

C

Step-by-step explanation:

there are 2 vertical asymptotes at x = - 3 and x = 2

then the factors on the denominator will be (x + 3) and (x - 2)

then

f(x) = \(\frac{1}{(x-2)(x+3)}\)

Answer:

(2+10) – (4x – 35) = 90​

Step-by-step explanation:

Lines a and b intersect at point U as shown in the diagram below, U (x+10) (4x-35) R. T Which equation can be used to calculate the measure of _QUR? O O (4.1 – 35) + (23 + 10) 180 RES G OB (22+ 10) = (4x – 35) O c

Answer:

10000

hope it helps!

.....

Answer:

\(\huge\boxed{\sf x = 130\°}\)

Step-by-step explanation:

So,

90 + 90 + 50 + x = 360

230 + x = 360

x = 360 - 230

\(\rule[225]{225}{2}\)

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.