What are the domain and the range of this graph?

The domain is x≥0 and the range is y≥0.

The domain is x≥1 and the range is y≤2.

The domain is x≥2 and the range is y≥1.

The domain and range is the set of all real numbers.

Answer:

A) 16 mm

just took the test

Answer:

16

Step-by-step explanation:

Answer:

\(31,387\:\text{ft}\)

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, \(\tan\theta=\frac{\text{opp}}{\text{adj}}\). Therefore, we have the following equation, where \(x\) is ground distance between the plane and the airport:

\(\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}\).

Answer:

it is 2/6 because there are 6 sides and two numbers that you need to get.

Answer:

The answer is 1/4

Step-by-step explanation: it was on the quiz

In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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The miles will be around 303 miles, both Uhaul and Penske will have the same total cost.

To determine at what point both companies have the same total cost, we need to set up an equation.

Let x be the number of miles driven.
For Uhaul, the cost will be $50 + $0.99x.
For Penske, the cost will be $350.
Setting these two expressions equal to each other, we get:
$50 + $0.99x = $350
Simplifying this equation, we get:
$0.99x = $300
U-Haul: Cost_UH = 50 + 0.99 * miles

Penske: Cost_P = 350

Set the equations equal to each other to find the number of miles where the costs are equal.

50 + 0.99 * miles = 350

Solve for the number of miles.

0.99 * miles = 350 - 50 0.99 * miles = 300 miles = 300 / 0.99

Calculate the number of miles and round to the nearest whole number if needed.

miles ≈ 303

So,

At approximately 303 miles, both companies will have the same total cost for renting a truck for one day.
Dividing both sides by $0.99, we get:
x ≈ 303.03

It is important to note that this calculation assumes that the only cost for Uhaul is the rental fee and mileage charge, and does not include any additional fees or charges that may be incurred during the rental period.

It is also important to consider other factors such as the availability of trucks, customer service, and any additional services offered by the rental companies before making a final decision.

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The utility functions in options a, b, c, and f are not risk-averse on the interval [a,b], while the utility functions in options d and e are risk-averse on the interval [a,b].

In economics and finance, risk aversion refers to a preference for less risky options over riskier ones. Utility functions are mathematical representations of an individual's preferences, and they help determine whether someone is risk-averse, risk-neutral, or risk-seeking. A risk-averse individual would have a concave utility function, indicating a decreasing marginal utility of wealth.

For options a, b, c, and f, the utility functions are and f(x) = -ln(x), g(x) = \(-e^(^-^x^)\), h(x) = \(-4x^2\) - 10x, respectively. These utility functions do not exhibit concavity, which means they are not risk-averse. Instead, they either show risk-seeking behavior (options a and b) or risk-neutrality (options c and f).

On the other hand, options d and e have utility functions f(x) = ln(x), g(x) = 1/(e^(2x)), h(x) = \(-x^2\) + 10,000x and f(x) = ln(-2x), g(x) = -1/(\(e^(^2^x^)\)), h(x) = \(x^2\) - 100,000x, respectively. These utility functions display concavity, indicating a decreasing marginal utility of wealth. Thus, options d and e can be considered risk-averse on the interval [a,b].

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Answer:

y=4x+11

Step-by-step explanation:

The formula for slope intercept is y=mx+b

m= slope

b= y intercept

hence, y=4x+11

The volume of the cone is approximately 26.1 cubic inches.

The formula used to calculate the volume of a cone is:

V = (1/3) × π ×\(r^2\) × h

where V is the volume of the cone, r is the radius of the base of the cone, h is the height of the cone, and π is a mathematical constant that is approximately equal to 3.14.

Part b. Plugging in the given values, we get:

V = (1/3) × 3.14 ×\(2.5^2\)× 4.2

V = (1/3) × 3.14 × 6.25 × 4.2

V = 26.125 cubic inches (rounded to the nearest tenth)

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The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

4+(3x2)-4/2

Step-by-step explanation:

pemdas

Answer:

A.

Step-by-step explanation:

We accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

We have given: μ = 14, x bar = 16, n = 40, s = 6,  α = 5%, = 0.05

To test μ0 : μ = 14   Vs  H1: μ > 14

Test statistics = (X bar - μx)√n / sx = (2 x 6.3245) / 6 = 2.1081

So, P value = 0.021

Conclusion: There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

P value for the hypothesis test

n = 50, x bar = 420, sx = 81, μ = 400,

To test:  H0: μ 400    Vs   H1:  μ > 400

It is right tail test

Test statistics =  (X bar - μx)√n / sx = (420 - 400) √50 / 81 =

z = 1.7459

P value = 0.04093

Declsion: We reject H0 is p value < α

Here α = 0.05

Hence P value < α

Conclusion: We accert H1 alternative that is result is population mean greater than 400.

Hence, we accert H1 alternative that is result is population mean greater than 400.

There is a 2.1% chance than mean second Trimester weight gain for all expectant mothers is 14 pounds in 2015.

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The probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%

To determine the probability, we can use Bayes' theorem. Let's assume that we have 10,000 patients tested. Out of these, 4% (or 400) patients will be infected with avian influenza, and the remaining 96% (or 9,600) will not have the infection.

Out of the 400 infected patients, the test will correctly identify 98% of them, which is 392 patients. However, there will be a false positive rate of 1% among the 9,600 non-infected patients, which is 96 patients.

So, the total number of patients testing positive will be 392 + 96 = 488. Out of these, 392 patients are truly infected, which gives us the probability of a patient testing positive being infected as 392/488 ≈ 0.803.

Therefore, the probability that a patient testing positive for avian influenza with this test is actually infected with avian influenza is approximately 0.803 or 80.3%.

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Answer: 2/13

Step-by-step explanation:

There are 4 queen (Q) & 4 king (K) cards in a standard deck of 52 cards . Therefore,required probability of drawing a queen or a king = P(QUK) = P(Q) + P(K) = 4/52 + 4/52 = 2/13 .

285 yards of wire purchased in October will cost $3705.

We will use unitary method for calculation.

The cost of one yard of wire = total cost ÷ length of wire × unit length

Cost of one yard of wire = 1235 ÷ 95 × 1

Performing division on Right Hand Side of the equation

Cost of one yard of wire = $13

Now calculating the cost for purchase of 285 yards of wire in October.

Cost of wire in October = 285 × 13

Performing multiplication on Right Hand Side of the equation

Cost of wire in October = $3705

Thus, the cost of purchase in October is $3705.

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Answer:

the answer is A - An irrational number

Answer:

There are 7 angles.

Step-by-step explanation:

To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.

First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.

Now we can write the expression as:

$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$

So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.

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The three conditions for a function to be continuous at a point x=a are:

a) The function is defined at x=a.

b) The limit of the function as x approaches a exists.

c) The limit of the function as x approaches a is equal to the value of the function at x=a.

The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.

The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$439.23\\ P=\textit{original amount deposited}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}\)

\(439.23=P\left(1+\frac{0.1}{1}\right)^{1\cdot 4}\implies 439.23=P(1.1)^4 \\\\\\ \cfrac{439.23}{1.1^4}=P\implies 399.3=P\)

In the test made, her prediction that students who distribute practice will perform better than students who mass practice is the alternative hypothesis, option d.

At the null hypothesis, we test if the predictions is false, that is, that students who distribute practice will not perform better than students who mass practice.

At the alternative hypothesis, it is where we test if there is enough evidence to conclude if the prediction is right, that is, if students who distribute practice will perform better than students who mass practice, hence, option d is correct.

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Answer:19, 81, 45

Step-by-step explanation:

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

m=69 miles

you can find this because if you divide the 9 by 6 as they are matching sides you get 1.5, take that number and multiply it by the 46 and get the 69! hope that helps :D