People enter line for an escalator at rate modeled by the function given by r(t) {~Gios)' ( 300 ,_ for 0 < t < 300 for [ > 300, where r(t) is measured people per second and IS measured In seconds_ As people get on the escalator; they exit the line at constant rate of 0.7 person per second. There are 20 people in line at time (a) How many people enter the line for the escalator during" the time interval 0 < / < 300 (b) During the time interval 0 < 0 < 300. there are always people in line for the escalator: How many people are Mn Line at time 300 (c) For t > 300. what is the first time that there are no people in line for the escalator? (d) For 0 < t < 300_ at what time is the number of people in line minimum? To the nearest whole number; find the number of people in line at this time. Justify vour answer:

Answer:

Step-by-step explanation:

4(x + 4) + 2x = 52

4x + 16 + 2x = 52

6x = 52 - 16

6x = 36

x = 36 : 6

x = 6

Answer:

[tex] \sf \: x = 6[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ 4(x + 4) + 2x = 52

Then the value of x will be,

→ 4(x + 4) + 2x = 52

→ 4x + 16 + 2x = 52

→ 6x + 16 = 52

→ 6x = 52 - 16

→ 6x = 36

→ x = 36 ÷ 6

→ [ x = 6 ]

Hence, the value of x is 6.

The conversion of 275 mm to inches is 10.8268 inches.

Millimeter (mm) and inch are both units of measurement used to express length or distance. Millimeter is a metric unit of length commonly used in the International System of Units (SI) and is equivalent to one-thousandth of a meter.

To convert 275 mm to inches, we can use the conversion factor of 1 inch = 25.4 mm.

So, we can divide 275 mm by 25.4 mm/inch to get the equivalent measurement in inches:

275 mm ÷ 25.4 mm/inch = 10.8268 inches (rounded to four decimal places)

Therefore, 275 mm is approximately equal to 10.8268 inches.

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The procedure to obtain the equation of the graphed line is presented in this answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The standard definition of a linear function is given as follows:

mx - y = -b.

To obtain the intercept b, you must observe the value of y when x = 0, which is the value of y when the graph of the function touches the y-axis.

To obtain the slope, you must take two points, and then calculate the rate of change between the two points.

Suppose that the points are (a,b) and (c,d), then the slope is given as follows:

m = (d - b)/(c - a).

In case the slope is fractional, you should multiply the entire equation by the denominator of the fraction all the coefficients of the standard form of the equation are integers.

The problem is incomplete, hence the general procedure to obtain the equation of the line is presented.

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The two angles in the ratio of 5:18 are 50° and 130° respectively. To determine this, we can use the fact that the sum of the angles in any quadrilateral is 360°.

Therefore,

where x and y are the two angles in the ratio of 5:18.

We can then solve for x and y by setting up the proportion

and then solving for x and y.

This gives us

Therefore, the two angles in the ratio of 5:18 are 50° and 130°.

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107+73 = 180

107-73 = 34

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

Explanation

Rule: Supplementary angles always add to 180 degrees.

This is our system of equations.

[tex]\begin{cases}x+y = 180\\x-y = 34\\\end{cases}[/tex]

Add the equations straight down.

After the y terms go away, we have this new equation: 2x = 214 which solves to x = 107 after dividing both sides by 2.

Then use this x value to find y

x+y = 180

107+y = 180

y = 180-107

y = 73

Or you could say

x-y = 34

107-y = 34

-y = 34-107

-y = -73

y = 73

Either way, we get the same y value each time. This helps confirm the answer.

Another way to confirm the answer is shown in the next section below.

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

Check:

x+y = 180

107+73 = 180

180 = 180 .... confirms the 1st equation

x-y = 34

107-73 = 34

34 = 34 ... the other equation is confirmed.

In short,

The probability that at most three records will be incomplete is approximately 0.650 (rounded to three decimal places).

What is Binomial Distribution ?

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment.

This is a binomial distribution problem with n=10 and p=0.156. Let X be the number of incomplete records. We need to find P(X ≤ 3).

Using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the binomial cumulative distribution function (binomcdf) to find this probability:

binomcdf(10, 0.156, 3) ≈ 0.650

Therefore, the probability that at most three records will be incomplete is approximately 0.650 (rounded to three decimal places).

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you need to subtract 2

1) Note that it can be concluded that Rishi is not doing well with his budget. The actual overshot the by 5%. See attached Spreadsheet.

2) If the driver who hit Rishi does not have Insurance and neither does Rishi (according to the budget) then Rish will have to save up for a new car because he didn't include the cost of insurance in his budget.

A budget is a financial plan that outlines expected income and expenses for a specific period, typically a month or a year.

It helps individuals and organizations to manage their finances by ensuring that they do not spend more money than they earn, and that they allocate their funds in a way that aligns with their goals and priorities.

A budget is important because it enables people to make informed financial decisions, avoid debt, and save money for future expenses.

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Another name for a regression line is Least squares line

Answer:Best-Fit-Line

Step-by-step explanation:

--Or line of best fit

HOP THIS HELPS!!!

Answer:

The range is (7, 11)

Step-by-step explanation:

domain is x

range is y

so when you graph it, it's from the bottom 7 to 11

so, (7, 11)

Answer:

The value of x would make the ratio 1:1 is 6.

Step-by-step explanation:

The given ratio is:

Surface Area : Volume = 6x^2 : x^3

To find the value of x that makes this ratio 1:1, we need to set the two parts of the ratio equal to each other and solve for x:

6x^2 = x^3

Divide both sides by x^2 to obtain:

6 = x

Therefore, the value of x that makes the ratio 1:1 is x = 6.

Therefore , the solution of the given problem of triangle comes out to be ∠ADC  = 100 and ∠DCB  = 39 Degree.

Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons. The corners of a triangle are determined by where its three sides meet. The sum of the angles inside a triangle is 180 degrees.

Here,

Given :

A triangle ADC and Triangle DCB

To find the angle :∠ADC and ∠DCB in the figure

So,

Acc to triangle angle sum property:

43 + 3y + 7 + 2x + 17 = 180

Simplifying, we get:

2x + 3y + 67 = 180

Subtracting 67 from both sides, we get:

2x + 3y = 113

and

61 + 3y - 13 + 4x - 1 = 180

4x + 3y + 47 = 180

4x + 3y = 133

2x + 3y = 113

4x + 3y = 133

-4x - 6y = -226

Adding this to the second equation, we get:

-3y = -93

Dividing both sides by -3, we get:

y = 31

Substituting this value of y into either equation, we can solve for x:

2x + 3(31) = 113

2x + 93 = 113

2x = 20

x = 10

Therefore, the solution is x = 10, y = 31.

Thus,

∠ADC  = 3(31) + 7 = 93 + 7  = 100

∠DCB = 4(10) -1 = 40 -1  =39

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The simplest form is (-2 ±√12)/2.

What is simplification?

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.

Here, we have

Given: x = (-4 ±√48)/4

We have to simplify the given term.

x = (-4 ±√48)/4

x =  (-4 ±√12×4)/4

x =(-4 ±2√12)/4

Now, we take 2 as common and get

x = (-2 ±√12)/2

Hence, the simplest form is (-2 ±√12)/2.

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The point estimate that can be used to estimate the true mean population is 11.97 inches.

To find the point estimate that can be used to estimate the true population mean, we need to take the sample mean of the given observations. The formula for the sample mean is:

Mod(X)= (Σx) / n

where Mod(X)  is the sample mean, Σx is the sum of all the observations, and n is the size.

Using the given observations, we can calculate the sample mean as follows:

Mod(X) = (11.3 + 10.7 + 12.4 + 15.2 + 10.1 + 12.1 + 16.2 + 10.5 + 11.4 + 11.0 + 10.7 + 12.0) / 12

Mod(X) = 11.97

Therefore, the point estimate that can be used to estimate the true mean population is 11.97 inches.

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The radical form of the exponential expression is given as follows:

[tex]\sqrt[4]{7}[/tex]

Hence the values of a and b are given as follows:

a = 7, b = 4.

The general format of the exponential expression is given as follows:

[tex]a^{\frac{n}{m}}[/tex]

To obtain the radical form, we have that:

Hence:

[tex]a^{\frac{n}{m}} = \sqrt[m]{a^n}[/tex]

Meaning that the equivalence for this problem is given as follows:

[tex]7^{\frac{1}{4}} = \sqrt[4]{7}[/tex]

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Therefore , the solution of the given problem of equation comes out to be y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.

In arithmetic equations, the similar symbol (=) is used to denote equivalence between two statements. It is demonstrated that utilising mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. The equal sign, for instance, splits the number 12 and even the answer y + 6 = 12 into two separate parts. One can compute how many characters are already present on either end of this symbol. Contradictory symbol meanings are common.

Here,

To find y such that FG = HI, we need to first calculate FG and HI and then set them equal to each other.

The distance formula can be used to calculate the distance between two points:

Distance between F and G:

FG = √(((-4) - (-5))² + ((-4) - (-7))²)

FG = √(1² + 3²)

FG = √(10)

Distance between H and I:

HI = √((y - 3)² + (10 - 8)²)

HI = √((y - 3)² + 4)

Now we set FG equal to HI:

√(10) = √((y - 3)² + 4)

10 = (y - 3)² + 4

6 = (y - 3)²

y - 3 = ±√(6)

y = 3 ±√(6)

Therefore, y can be either 3 +√(6) or 3 -√(6) for FG to be equal to HI.

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The mean weight of a randomly chosen vehicle is 3500 pounds.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean.

We are given that the weight of a randomly chosen american passenger car is a uniformly distributed random variable ranging from 1,749 pounds to 4,039 pounds.

Let X= weight of the passenger car

a/q, X is u(1,749, 4,039)

we know that mean= a+b/2

so a=1,749, b=4,039

hence, mean=1,749 +4,039/2

mean=3500 pounds

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The solution for n of the expression in this problem is given as follows:

n = 5.

With the application of the distributive property, the outer term multiplies each of the inner terms of the expression. If possible, these inner terms than can be added or subtracted combining the like terms.

The mistake in the solution was applying the distributive property to 3(2n - 7), as 3 has to multiply both terms, 2n and -7, hence:

3(2n - 7) = 6n - 21.

Thus the solution to the expression is obtained as follows:

6n - 21 = 9

6n = 30

n = 30/6

n = 5.

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Shae's monthly payment will be approximately $114.63.

First we can use the formula for the present value of an annuity:

P = (r * A) / (1 - (1 + r)^(-n))

where

First, we need to convert the annual percentage rate (APR) to a monthly rate, which is done by dividing it by 12:

r = 13.5% / 12 = 0.01125

Next, we can plug in the values and solve for A:

2400 = (0.01125 * A) / (1 - (1 + 0.01125)^(-24))

Simplifying this equation, we get:

A = (0.01125 * 2400) / (1 - (1 + 0.01125)^(-24)) = 114.63

Therefore, Shae's monthly payment will be approximately $114.63.

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The sum formula for geometric sequence is Sn = a(1 - r^n) / (1 - r)

A unique kind of sequence is a geometric sequence. It is a sequence in which each term aside from the first term and is multiplied by a fixed number to obtain its subsequent term. To obtain the following term in the geometric sequence, one must multiply with a fixed term known as the common ratio, and one need only divide the term by the same common ratio to determine the previous term in the sequence.

There are infinite and finite geometric sequences. The formula for the same is Sn = a(1 - r^n) / (1 - r). Here Sn is the sum of the first n terms of the geometric sequence,  a is the first term of the sequence,  r is the common ratio between consecutive terms in the sequence and n is the number of terms in the sequence

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The drop at the end destination of the aqueduct would be 15 meters.

To see why, we can use the formula:

drop = slope * length

where the slope is given as 0.5% (or 0.005 as a decimal) and the length is given as 3000 meters.

So,

drop = 0.005 * 3000 = 15

Therefore, the drop at the end destination of the aqueduct would be 15 meters.

The desired value is the target or goal for the variable, while the controlled value is the actual or measured value.

The difference between the desired value of a variable and the controlled (actual) value is known as the error or deviation. It addresses the sum by which the actual value varies from the desired value, and is normally utilized as criticism in control frameworks to change the framework yield.

The objective of a control framework is to limit this mistake and bring the actual value as close as conceivable to the desired value. The mistake can be positive (assuming the actual value is more noteworthy than the desired value), negative (in the event that the actual value is not exactly the desired value), or zero (in the event that the actual value equivalents the desired value).

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Answer:

I don't really understand geo but if this is proof so u have to see if there is anything parallel perpendicular

Answer:

Line Segment

Step-by-step explanation:

Answer:

[tex]2\pi[/tex] inches

Option B

Step-by-step explanation:

The arc length is proportional to the central angle
If L is the arc length and θ is the central angle in degrees
[tex]L = \dfrac{\theta}{360} \times C[/tex]

where C is the circumference of the circle

Given radius r = 6 inches, C = 2πr = 2π·6 = 12π
θ = 60°

So
[tex]L = \dfrac{60}{360} \times 12\pi\\\\= \dfrac{1}{6} \times 12\pi\\\\= 2\pi\;inches[/tex]

The rate of change of a circle's diameter with respect to its radius is a constant value of 2.

The diameter (d) of a circle is twice the radius (r), so we can write:

d = 2r

To find the rate of change of diameter with respect to radius, we can take the derivative of both sides of this equation with respect to r using the chain rule:

d/dx [d] = d/dx [2r]

d' = 2r'

Here, d' is the derivative of diameter with respect to radius, and r' is the derivative of radius with respect to some independent variable (e.g. time).

Since r' is simply equal to 1 (because the derivative of a variable with respect to itself is always 1), we have:

d' = 2

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The conversion of 5kg in pounds is 11.0231 pounds (rounded to four decimal places).

A kilogram is greater than a pound. I know that a kg is greater than a lb because of something called conversion factors.

Put very simply, a conversion factor is a number that can be used to change one set of units to another, by multiplying or dividing it. So when we need to convert 5 kilograms into pounds, we use a conversion factor to get the answer.

The conversion factor for kg to lb is:

1 kg = 2.2046244201838 lb

Now that we know what the conversion factor is, we can easily calculate the conversion of 5 kg to lb by multiplying 2.2046244201838 by the number of kilograms we have, which is 5.

5 x 2.2046244201838 = 11.023122100919 lb

To convert 5kg to pounds, you can use the conversion factor of 2.20462 pounds per kilogram. Multiplying 5kg by this conversion factor gives:5 kg * 2.20462 pounds/kg = 11.0231 pounds.

Therefore, 5kg is equivalent to 11.0231 pounds (rounded to four decimal places).

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The child is most likely operating at visualization level of van hiele's. The solution has been obtained by using the Van Hiele model.

What is Van Hiele model?

The van Hiele theory explains how children pick up geometry. It makes the claim that there are five different degrees of geometric thinking: visualisation, analysis, abstraction, formal deduction, and rigour. Every level has a unique lingo and set of symbols. The levels are progressed through "step by step" by the students.

We are given that a child tells that square has 4 sides and 4 angles by seeing the quadrilateral.

From this, we get that the child is operating at the visualization level of van hiele's because by looking at a figure he tells the number of sides and angles.

Hence, the child is most likely operating at visualization level of van hiele's.

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200 mph is approximately equal to 321.86 km per hour ( rounded to two decimal places )

The conversion factor to convert mph to km per hour is 1.6093

1 mph = 1.6093 km per hour

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The speed in km per hour = The speed in mph × conversion factor

Substitute the values in the equation

1 mph = 1.6093 km per hour

200 mph = 1.6093 × 200

Multiply the numbers

= 321.86 km per hour  ( rounded to two decimal places )

Therefore, 200 mph is 321.86 km

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We can convert the unit kg/m ³ to  g/cm³ by using the formula Kg/m³ = 10⁻³ g/cm³.

We are provided with the unit kg/m ³ that means Kilograms per meter cube.

We have to covert it into g/cm³.

Now, we know, from the standard conversion rates that one kilograms is equal to 1000 grams and one meter cube is roughly equal to 10⁶ centimeter cubes.

So, if we want to do the unit conversion, we should write,

= g/cm³

= 1000/1000000 g/cm³

Kg/m³ = 10⁻³ g/cm³.

Now, the above mentioned relation is our formula for the conversion of the two unit.

So, now we can write that, one kilograms per meter cube is equal to 10⁻³ grams per centimeter cubes.

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