Part A: Find a rational number that is between 5.2 and 5.5, Explain why it is rational. (2 points)
Find an irrational number that is between 5.2 and 5.5. Explain why it is irrational. Include the decimal approximation of the irrational number to the
nearest hundredth.

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

Step-by-step explanation:

ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt

The inequality that describes the possible value of x is 2< x < 22.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given that ∠A = 50°

AB ≈ DE ≈ EF

BC = 12

CD = 10

And the ∠E = (5x - 10)°

From the Graph, we can see that Angle A is the alternate angle to angle G

Alternate angles are the angles that occur on opposite sides of the transversal line. We can easily spot two interior alternate angles by drawing Z. The value of alternate angles is equal.

thus, ∠A = ∠E

50° = 5x -10

5x = 60

x = 12

Therefore, from the given options the value of x lies in the inequality 2 < x < 22.

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The point H could be (1 + √134.56, 5) or (1 - √134.56, 5).

Let’s plot the given points E, F and G on the graph and try to find the missing point H:

Now, the length of the side EF will be:

EF = √((3-1)² + (5-5)²)EF = 2 units

The length of the side FG will be:

FG = √((6-3)² + (1-5)²)FG = √10 units

The length of the side EG will be:

EG = √((6-1)² + (1-5)²)EG = √26 units

Therefore, the total length of the three sides of the fence will be:2 + √10 + √26 units

Now, the perimeter of the fenced area with 4 sides EFGH is:16 = 2 + √10 + √26 + EHThe length of EH will be:

EH = 16 - 2 - √10 - √26EH = 11.60 units

We need to plot the missing point H which is at a distance of 11.60 units from point E along the line passing through points E and F.

Using the slope formula we find that the slope of the line passing through points E and F is: m = (y2 - y1)/(x2 - x1) = (5 - 5)/(3 - 1) = 0Therefore the line passing through E and F is a horizontal line as it has zero slope.

The distance between points E and H is 11.60 units and point H will be on the same horizontal line passing through E and F.Therefore, the x-coordinate of point H will be:

EH = √((x2-x1)² + (y2-y1)²)11.60 = √((x-1)² + (5-5)²)

Solving the above equation:

(x-1)² = 134.56(x-1)

= ±√134.56x

= 1 + √134.56 or x = 1 - √134.56

Therefore, the point H could be (1 + √134.56, 5) or (1 - √134.56, 5).

Point H could be (1 + √134.56, 5) or (1 - √134.56, 5).

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Answer:

PART A

The amount of snowfall and number of trucks is proportional.

Because the increase in snowfall, increases the number of trucks sent out as read from the table.

PART B

\( let \: the \: number \: of \: tracks \: be \: x\\ by \: linear \: extrapolation \\ \binom{inches \: \: \: \: 12 \: \: 18 \: \: 23}{trucks \: \: \: \: 30 \: \: 45 \: \: x} \\ \frac{23 - 12}{x - 30} = \frac{18 - 12}{45 - 30} \\ \frac{11}{x - 30} = \frac{6}{15} \\ 11 \times 15 = 6(x - 30) \\ 165 = 6x - 180 \\ 6x = 165 + 180 \\ 6x = 345 \\ x = 57.5 \\ x = 58 \: trucks \\ hence \: 58 \: trucks \: were \: sent \: out\)

Answer:

PART A

The amount of snowfall and number of trucks is proportional.

Because the increase in snowfall, increases the number of trucks sent out as read from the table.

PART B

Let the number of tracks be x

By linear extrapolation, we get

inches | 12 | 18 | 23

trucks | 30 | 45 | x

(23 - 12)/(x - 30) = (18 - 12)/(45 - 30)

(11)/(x - 30)=6/15

11×15 = 6(x - 30)

165 = 6x - 180

6x = 165 + 180

6x = 345

x = 57.5

x = 58 trucks

Hence, 58 trucks were sent out.

Answer: D. 120 students

Step-by-step explanation:

This is an easy solution

Take 300 and divide it by 5

300/5

This will result in 40

Now Multiply 40 by 3

Like so: 40x3

This will result in 120

Answer:

C) 120

Step-by-step explanation:

Ratio - 3:5

200 times 3/5 = 120

Answer:

skew right;

most of the data is on the left (the start)

Step-by-step explanation:

Observing the data distribution in the leaf plot given, we would see that most of the data are occuring at the start. This can be referred to as a positively skewed data. The tail of the distribution (the thin side) is to the right.

Therefore, the shape can be described as SKEW RIGHT.

The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t

To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:

1. x + 2y + z = 1
2. 2x + 5y + 32 = 4

Step 1: Solve for x from equation 1:
x = 1 - 2y - z

Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4

Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:

Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30

Step 4: Designate z as the parameter t:
z = t

Step 5: Substitute z with t in the expression for y:
y = 2t - 30

Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t

Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t

Note that we can choose any value of z for the parameter t, since z is unconstrained.

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The probability that a rises and b does not rise in price is: 24%

We can use conditional probability to solve this problem.

Let A = "fund a rises in price" and B = "fund b rises in price".

From the information provided, we know that:

Using the formula for conditional probability, we can find the probability that a occurs and b does not occur:

We don't know the probability of a, but we can find it using the formula for conditional probability and Bayes' theorem:

Substituting in the known probabilities:

Solving for P(A), we get:

Now we can use this value to find P(A and B'):

So, the probability that fund a rises in price and fund b does not rise in price is 0.24 or 24%.

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We want to find the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.1.

That is level of significance (α) = two-tail area = 0.1

what is a level of significance in research?

The significance stage (also called kind I mistakes rate or the extent of statistical importance) refers back to the chance of rejecting a null hypothesis that is in truth true. This amount stages from 0 (0.0) to at least one (1.zero) and is generally denoted through the Greek letter alpha (a).

What are the three levels of significance?

commonplace importance stages are 0.10 (1 risk in 10), 0.05 (1 risk in 20), and zero.01 (1 hazard in one hundred). The result of a speculation check, as has been seen, is that the null hypothesis is both rejected or now not.

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The mean train ride time for the week was 49.4 minutes, with a median of 48 minutes. The range of the train ride times was 3 minutes.

The mean, median, and range of Santos' train ride times for the week were as follows:

Mean: 49.4 minutes

The mean is calculated by adding up all the values and dividing the sum by the total number of values. In this case, the sum of the train ride times (48 + 51 + 48 + 48 + 50) is 245 minutes. Dividing this sum by the total number of days (5), we get the mean of 49.4 minutes.

Median: 48 minutes

The median is the middle value in a sorted list of numbers. To find the median, we arrange the train ride times in ascending order: 48, 48, 48, 50, 51. Since there is an odd number of values, the middle value is the median. In this case, the median is 48 minutes.

Range: 3 minutes

The range is the difference between the largest and smallest values in a set. To calculate the range, we subtract the smallest value (48 minutes) from the largest value (51 minutes). In this case, the range of the train ride times for the week is 3 minutes.

In summary, the mean train ride time for the week was 49.4 minutes, with a median of 48 minutes. The range of the train ride times was 3 minutes. These metrics provide insights into the average, central tendency, and variability of Santos' train rides throughout the week.

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The dimensions of the original lawn were; 20 ft by 20 ft

We are given that;

The equation (x – 8)² = 144

x represents the side measure of the original lawn

Since she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet;

We can find the side lengths by solving the given equation to get;

(x – 8)² = 144

Find the square root of both sides to get;

√(x – 8)² = √144

x - 8 = 12

x = 12 + 8

x = 20 ft

Thus, the dimensions are concluded to be 20 ft by 20 ft.

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Complete question is;

Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smaller lawn is 144 square feet. in the equation(x – 8)² = 144, x represents the side measure of the original lawn.what were the dimensions of the original lawn?

Answer:

the answerrrrrrrrrrr is 27+54m+36m^2+8m^3

Answer:

82 and 95

Step-by-step explanation:

Most repeated

Answer: An Electric Store

Step-by-step explanation: Hoped This Helped! Thx For The Points!

Answer:

B

Step-by-step explanation:

an electronics store

Answer:

12:45 pm

Step-by-step explanation:

First we find out the amount of time it takes to drive 90 miles at 60 mph.

speed = distance/time

time * speed = distance

time = distance/speed

time = 90 miles / 60 mph

time = 1.5 hour = 90 minutes

It takes 1.5 hour, or 90 minutes, to drive 90 miles at a speed of 60 mph.

To get there at 2:00 pm, he should have left at 12:30 pm.

He got there 15 minutes late, so he must have left 15 minutes late.

He left at 12:45 pm.

Answer: 12:45 pm

Answer:

x is equal to 4.3

Step-by-step explanation:

since it's -4.3 + x is equal to 0

you take -4.3 to the other side of the equal sign which makes it positive and x is equal to 4.3

The degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.

Given,

n1 = 16

n2 = 12

Here,

An independent t-test, often known as a two-sample t-test, compares the means of two unrelated groups to see whether they are significantly different from each other. The t-test is an essential method that can help you determine whether or not a certain hypothesis is true, regardless of whether or not it is accurate.

Degree of freedom for independent t test: DF = (n1 + n2) - 2

DF = (16 + 12) - 2

DF = 26

Therefore, the degrees of freedom for an independent t-test when n1 = 16 and n2 = 12 are 26.

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Answer:

120

Step-by-step explanation:

The formula \(nCk=\frac{n!}{k!(n-k)!}\) describes how many ways \(k\) items can be chosen given \(n\) total items. In this scenario, \(n=10\), and \(k=3\), thus:

\(\frac{10!}{3!(10-3)!}=120\)

This means that you can make 120 three-vegetable plates

a. Own Price Elasticity of Demand = (-30) / (0) = undefined. Since the own price elasticity of demand is undefined, we cannot determine if the demand is elastic, inelastic, or unitary elastic based on this information.

b. Cross-Price Elasticity of Demand = (12/7) / 0 = undefined. Since the cross-price elasticity of demand is undefined, we cannot determine if goods X and Y are substitutes or complements based on this information.

c. Income Elasticity of Demand = (-2860.71) / (0) = undefined. Since the income elasticity of demand is undefined, we cannot determine if good X is a normal or inferior good based on this information.

d. We cannot calculate the own advertising elasticity of demand with the provided data.

a. To determine the own price elasticity of demand, we need to use the formula:

Own Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Given the demand equation OX​d​ = 7−15PX​+2Py​+0.5M+A, we can calculate the derivative of demand with respect to price:

d(OX​d​) / d(PX​) = -15

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(PX​)) * (PX​ / OX​d​) = (-15) * (15 / 7) = -30

% Change in Price = (ΔPX​ / PX​) = (15 - 15) / 15 = 0

b. To determine the cross-price elasticity of demand between goods X and Y, we use the formula:

Cross-Price Elasticity of Demand = (% Change in Quantity Demanded of Good X) / (% Change in Price of Good Y)

Using the same demand equation, we calculate the derivative of demand with respect to the price of good Y:

d(OX​d​) / d(Py​) = 2

Now, let's plug in the values:

% Change in Quantity Demanded of Good X = (d(OX​d​) / d(Py​)) * (Py​ / OX​d​) = (2) * (6 / 7) = 12/7

% Change in Price of Good Y = (ΔPy​ / Py​) = (6 - 6) / 6 = 0

c. To determine the income elasticity of demand, we use the formula:

Income Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Income)

Using the same demand equation, we calculate the derivative of demand with respect to income:

d(OX​d​) / d(M) = 0.5

Now, let's plug in the values:

% Change in Quantity Demanded = (d(OX​d​) / d(M)) * (M / OX​d​) = (0.5) * (-40000 / 7) = -2860.71

% Change in Income = (ΔM / M) = (-40000 - (-40000)) / (-40000) = 0

d. The own advertising elasticity of demand measures the responsiveness of quantity demanded to changes in advertising expenditure. Unfortunately, the given demand equation does not provide any information about advertising expenditure or its impact on quantity demanded.

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The population will be about 2972 population in 2020

The standard exponential equation is expressed as;

y = ab^x

where

Given the following parameters

Substittute the given parameters into the formula

y = 2000(1.02)^x

If x = 20 (from 2000 to 2020)

The population will be expressed as;

y = 2000(1.02)^20

y = 2972 populations

Hence the population will be about 2972 population in 2020

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These six different iterated integrals represent the same volume integral but with different orders of integration.

To express the integral ∭ef(x,y,z)dv as an iterated integral in six different ways, where e is the solid bounded by

z=0, x=0, z=y-4x,

and y=12, we first determine the limits of integration for each variable. The solid is bounded by the following planes:

z = 0 (lower limit for z)
x = 0 (lower limit for x)
z = y - 4x (upper limit for z)
y = 12 (upper limit for y)

Now, we can write the iterated integral in six different orders of integration:

dx dy dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dx dy

dx dz dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dx dz dy

dy dx dz:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dz dy dx

dy dz dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dz dx

dz dx dy:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y/4)∫(0 to y-4x) ef(x,y,z) dx dy dz

dz dy dx:
∭ef(x,y,z)dv = ∫(0 to 12)∫(0 to y-4x)∫(0 to y/4) ef(x,y,z) dy dx dz

These six different iterated integrals represent the same volume integral but with different orders of integration.

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Answer:

The time it would take to fill up the truck is approximately 344 minutes

Step-by-step explanation:

The given parameters of the truck are;

The volume of the water truck, V = 1,200 gallon

The rate at which water flows from the hose. m = Constant rate

The volume of water in the truck after t₁ = 10 minutes is V₁ = 65 gallons

The volume of water in the truck after t₂ = 15 minutes is V₂ = 82 gallons

Therefore, the rate at which water flows from the hose to the truck, 'm', is given by the equation for the slope of a straight (constant variation) line, as follows;

\(m = \dfrac{V_2 - V_1}{t_2 - t_1}\)

Therefore, we have;

\(m = \dfrac{82 \, gallons - 65 \, gallons}{15 \, minutes - 10 \, minutes} = 3.4 \, gallons/minute\)

The point and slope form of the straight line equation relationship between the volume in the tank and the time of flow is given as follows;

V - 82 = 3.4 × (t - 15)

Therefore, the slope and intercept form of the equation is given as follows;

V = 3.4·t - 15 × 3.4 + 82 = 3.4·t + 31

∴ V = 3.4·t + 31

When the tank is filled, V = 1,200 gallons, therefore, we have;

1,200 = 3.4·t + 31

3.4·t = 1,200 - 31 = 1,169

t = 1,169/3.4 = 5845/17 = 343.\(\overline{8235294117647058}\)

The time it would take to fill up the truck, t = 343.\(\overline{8235294117647058}\) minutes ≈ 344 minutes.

The value of K is 2.

Let's denote the scale factor as K. The surface area of a solid after dilation is directly proportional to the square of the scale factor.

We are given that the initial surface area of the solid is 50 units^2, and after dilation, the surface area becomes 200 units^2.

Using the formula for the surface area, we have:

Initial surface area * (scale factor)^2 = Final surface area

50 * K^2 = 200

Dividing both sides of the equation by 50:

K^2 = 200/50

K^2 = 4

Taking the square root of both sides:

K = √4

K = 2

Therefore, the value of K is 2.

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Answer:

The range is 8.

Step-by-step explanation:

5-(-3)=8

Answer: 35%

Step-by-step explanation:

$70,000 was the down payment for a total price of $200,000.

Down payment percentage = 70,000 / 200,000

= 0.35

= 35%

The correct answer to the question is option c) An effect modifier.

A case-control study is a type of observational study that compares two groups of individuals: those who have the disease or outcome under investigation (cases) and those who do not (controls).

It aims to determine if an exposure or risk factor is associated with the development of the disease or outcome.

In this case, the results of the study indicate that there is a difference in the odds ratio (OR) between the two strata, which suggests that the characteristic being studied is an effect modifier.

An effect modifier is a factor that modifies the effect of the exposure on the outcome and leads to different measures of association across different levels of the factor.

Therefore, the characteristic is an effect modifier as it leads to different ORs in the two strata.

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Answer:

112in^2

Step-by-step explanation:

area of square = 10*10

                        = 100in

area of triangle = (6*4)/2

                          = 12in

100+12= 112

area of shape = 112in

Answer:

The area of the figure is 112

Step-by-step explanation:

For area, you multiply length x width

For the triangle, you do HALF THE BASE x height

So for the square, it's fairly simple

10 x 10 = 100

For the triangle, it's a bit more complicated

So we know the length of the square is 10 inches

And we see a 6 inch mark at the top of the square, showing where the square ends and the triangle begins

So the base of the triangle is 10 - 6 = 4 inches

Also, the overall height of the figure is 16 inches, and the height of the square is 10 inches

So the height of the triangle is 16 - 10 = 6 inches

So 4 is the base of the triangle

And 6 is the height of the triangle

So we half 4, which gives us 2

2 x 6 = 12

The area of the triangle is 12

And we already determined that the area of the square is 100

100 + 12 = 112

The area of the whole figure is 112

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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