In your own words, Explain why people use symbols to represent something

Answer:

The width of rectangle w = 4 units

Step-by-step explanation:

We are given:

Width of rectangle = w

Length of rectangle = w+ 4

Area of rectangle = 32 units

We need to find width of the rectangle

The formula used is: \(Area\:of\:rectangle=Length\times Width\)

Putting values and finding width of rectangle

\(Area\:of\:rectangle=Length\times Width\\32=(w+4)\times w\\32=w^2+4w\\w^2+4w-32=0\)

We need to solve this quadratic equation to find width (w)

We will use factorisation and break the middle term.

\(w^2+4w-32=0\\w^2+8w-4w-32=0\\w(w+8)-4(w+8)=0\\(w-4)(w+8)=0\\w-4=0\:or\:w+8=0\\w=4\:or\:w=-8\)

Since width of rectangle can't be negative, so rejecting w=-8

Therefore, the width of rectangle w = 4 units

After five decades, the amount is worth to the nearest hundredth is 607.54

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth." A hundredth is 1/100 or 0.01 in decimal form. For instance, 2.17 is the result of rounding 2.167 to the nearest tenth.

Look at the next place value to the right in order to round a number to the closest hundredth (the thousandths this time). The same applies: Simply eliminate all the digits to the right if the number is 4 or fewer. Add 1 to the digit in the hundredths place if the number is five or above, and then eliminate all the digits to the right.

The equation below can be used to describe this amount at intervals of 2t decades. where r is the rate of increase and Q(0) is the initial quantity. A 510-valued quantity increases exponentially at a rate of 7% every 20 years. After five decades, the amount is worth 607.54

Q(t)=Q(0)\(e^{xt}\)

Q(2.5)= 510e^(0.07*2.5)

= 607.54

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9514 1404 393

Answer:

Step-by-step explanation:

A unit rate is a ratio. When dollars are involved, we usually want dollars in the numerator. When time is involved, we usually want time in the denominator.

__

rice: $9/(1.5 kg) = (9/1.5) $/kg = $6/kg

__

growth: (350 people)/(7 years) = (350/7) people/year = 50 people/year

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

60: 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

\($ The rate is expressed as $ \frac{mi}{hr} $ so you must divide miles by hours. $ \\ \\ \frac{240mi}{4hr}=60\frac{mi}{hr}\)

All three components of the fire triangle are usually present whenever and wherever surgery is performed. The fire triangle consists of three elements: fuel, heat, and oxygen.

In the context of surgery, nitrous oxide can be considered as a source of the fuel component of the fire triangle. Nitrous oxide is commonly used as an anesthetic in surgery, and it is highly flammable. It can act as a fuel for fire if it comes into contact with a source of ignition, such as sparks or open flames.

Therefore, it is important for healthcare professionals to be aware of the potential fire hazards associated with the use of nitrous oxide in surgical settings and take appropriate safety precautions to prevent fires.

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Answer:

x = 6

Step-by-step explanation:

6x²/x³ = 1/1

6/x = 1

x = 6

The solution to the differential equation dy/dt=y^2 (8+t), y=4 when t=1 can be found by using the method of separation of variables.

This involves separating the variables y and t on opposite sides of the equation, and then integrating both sides. Here are the steps to solve the differential equation:

1. Separate the variables: dy/y^2 = (8+t) dt
2. Integrate both sides: ∫dy/y^2 = ∫(8+t) dt
3. Solve the integrals: -1/y = 8t + (1/2)t^2 + C
4. Solve for y: y = -1/(8t + (1/2)t^2 + C)
5. Use the initial condition y=4 when t=1 to find the value of C: 4 = -1/(8(1) + (1/2)(1)^2 + C) => C = -9/2
6. Substitute the value of C back into the equation to find the solution: y = -1/(8t + (1/2)t^2 - 9/2)

Therefore, the solution to the differential equation dy/dt=y^2 (8+t), y=4 when t=1 is y = -1/(8t + (1/2)t^2 - 9/2).

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Answer:

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

or

or

Answer:

See below

Step-by-step explanation:

The slope of the perpendicular line with y = 2x + 3 is m = - 1/2.

Use point-slope form to find its equation:

y - y₁ = m(x - x₁)

y - 2 = - 1/2(x - 1)

or

y = -1/2x + 2 1/2

or

y = -0.5x + 2.5

give brainliest to me or to the person below or up bc I ctrl+c and ctrl+v

bc is soooo coool the other one lol

In the given word problem, the rate of change is the change in the cost of the ice cream concerning the change in the number of scoops.

That is, the rate of change is the ratio of the change in the cost of ice cream and the change in the number of scoops. Let's first calculate the initial rate of change or slope of the given deal: When we buy a waffle cone, the cost is $3, and we can buy one scoop of ice cream for $1.50.So, for one scoop of ice cream, the total cost would be 3 + 1.50 = $4.50.

We can represent the cost of one scoop of ice cream with the help of a linear equation: y = mx + b. Here, the slope or the rate of change, m = Change in cost of ice cream/ Change in the number of scoops= 1.5/1= 1.5Therefore, the rate of change of the ice cream with respect to the number of scoops is $1.50/scoop.

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Answer: 25%

Step-by-step explanation:

Is this what you wanted if sorry.

Answer:

20/21

Step-by-step explanation:

2 1/2 divided by 2 5/8

2 1/2 is 5/2

2 5/8 is 21/8

5/2 ÷ 21/8 =

5/2 × 8/21 = 20/21

Points on a perpendicular bisector of a line segment are equidistant from the segment’s endpoints.

True

Answer:

y=x

Step-by-step explanation:

I think thats the answer

The equation in point slope form and standard form are as follows:

The line passes through (2, -1) and (8, 4). The equation of the line in point slope form and standard form can be represented as follows;

Therefore, in point slope form,

y - y₁ = m(x - x₁)

where

Therefore,

slope = m = 4 + 1 / 8 - 2

m = 5 / 6

Hence, using (2, -1)

y + 1 = 5 / 6(x - 2)

In standard form,

y + 1 = 5 / 6 x - 10 / 6

y - 5 / 6 x = - 10 / 6 - 1

y - 5 / 6 x = - 8 / 3

multiply through by 6

6y - 5x = - 16

Therefore,

- 5x + 6y = - 16

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Answer:

x = -2, y = 3

Step-by-step explanation:

Given equations are,

4x + 5y = 7 ---------(1)

3x - 2y = -12 ----------(2)

Multiply equation (1) by 3

12x + 15y = 21 ------(3)

Multiply equation (2) by (-4)

-12x + 8y = 48 --------(4)

Now add equations (3) and (4),

(12x + 15y) + (-12x + 8y) = 21 + 48

(12x - 12x) + (15y + 8y) = 69

23y = 69

y = 3

From equation (2),

3x - 2(3) = -12

3x - 6 = -12

3x = 6 - 12

x = -2

Therefore, x = -2 and y = 3 will be the answer.

Answer:

What is the solution to this system of equations?

\(4x +5y = 7\)

\(3x-2y=-12\)

The solution is ✔ \((-2,3)\) .

Answer:

7

Step-by-step explanation:

Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!

Answer:

20

Step-by-step explanation:

36 DVDs is 180%.

36 divided by 180 is 0.2.

Multiply 0.2 by 100 to get how many DVD's she had last month...

0.2 x 100 = 20

Answer:

it's estimated that 750 students in the whole school dislike the 8:30am start time.

Step-by-step explanation:

Since 30 of the 40 students said "no", it means 30/40, or 3/4 of the random sample disliked the 8:30am start time. Multiply this by the whole population: 1,000 × (3/4) = 750.

Another way to check this is using 10/40 = .25 and doing 1000x.25 = 250 (the amount of students who liked it). Then subtract from whole population and it's 750.

Answer:

113m²

Step-by-step explanation:

The large square without the missing part has an area of 169m² becuase length times width 13x13. Now we find the area of the missing part, 7x8=56 so we subtract 56 from 169 and that is 113m².

Answer:

-12

Step-by-step explanation:

h(x) = ½x - 14 where x = 4:

h(4) = ½(4) - 14

= 2 - 14

= -12

Answer:

12-2n

Step-by-step explanation:

Difference means to subtract

Times means to multiply

A number would be the variable

The inequality to the number line that represents its solution is Option 1 - Option D , Option 2 - Option B , Option 3 -Option A , Option 4 -Option C

An Inequality is the mathematical statement formed when an algebraic expression is equated using an inequality operator to another algebraic expression or even a constant.

There are four inequalities given

1. (7x/9) > - 14/3

Here on solving the value of x is

x > -6

2. (-75x/4) > (225/2)

On solving ,the value of x is

x< -6

3. (x/4) ≤ (-3/2)

On solving the value of x obtained is

x<-6

4. (2x/3) > -16/3

x >-8

Therefore Option 1 - Option D , Option 2 - Option B , Option 3 -Option A , Option 4 -Option C

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Answer: x= 25

Step-by-step explanation:

28+47+ y(some number)= 180

solve for y to get 75 and since 75=3x x=25

Answer:

x=45

Step-by-step explanation:

a line = 180

47 + 28 = 75

180-75= 105

105+ 3x =180

now solve for x

3x + 105  =180  

3                 3

x + 105 = 60

x= 45

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer: for me it must be A or C I have a picture how I find my answer.

Step-by-step explanation: Hope this help :D

The topmost common factor of 6 and 30 is 6.

To find the topmost common factor( GCF) of 6 and 30.

We can determine the factors of both figures and identify the largest factor they've in common.

The factors of 6 are 1, 2, 3, and 6.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

From the common factors listed over, the largest factor that both 6 and 30 share is 6.

Thus, the topmost common factor of 6 and 30 is 6.

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Answer:

Step-by-step explanation:

(-1 - 3)/(3 - 0) = -4/3

y - 3 = -4/3(x - 0)

y - 3 = -4/3x + 0

y = -4/3x + 3

Answer: -15

Step-by-step explanation: 2r+8-r=-7

1r +8 = -7

1/1       -15/1

Answer: r = -15

Step-by-step explanation:

2r - r = -7 -8

r = -15

Car insurance for an 18-year-old typically ranges from $200 to $400 per month.

The cost of car insurance for an 18-year-old can vary significantly depending on various factors. Young drivers, especially those with limited driving experience, are generally considered higher risk by insurance companies, which leads to higher premiums. Insurance providers take into account factors such as the driver's age, gender, location, type of vehicle, driving record, and credit history. Additionally, factors like the level of coverage and deductibles chosen, as well as discounts available, can also impact the cost. It's important for young drivers to shop around and compare quotes from different insurance companies to find the best coverage options at the most affordable rates. Additionally, taking driver's education courses and maintaining a clean driving record can help in reducing insurance costs over time.

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What is the average monthly cost of car insurance for an 18-year-old?