After alcohol is fully absorbed into the body, it is metabolized with a half-life of about 1.5 hours. suppose you have had three alcoholic drinks and an hour later, at midnight, your blood alcohol concentration (bac) is 0.4 mg/ml.

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

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Answer:

True.

Step-by-step explanation:

True.

Let's say A = 5, and B = 10.

We need to swap the contents of A and B, so A will end up with 10 and B will end up with 5.

A = 5

B = 10

Introduce variable C.

C = A (now C contains 5)

A = B (now A contains 10)

B = C (now B contains 5)

In the last two steps above, you see that the values of A and B were swapped.

Answer:

The constant of proportionality is 0.45.

Step-by-step explanation:

The constant of proportionality is the ration of two different quantities or is the unit value of a quantity.

The expression representing the price of bananas is:

\(p=0.45n\)

To determine the unit rate of bananas divide the price by the number of bananas.

\(\text{Unit Rate}=\frac{p}{n}\)

                \(=\frac{0.45n}{n}\\\\=0.45\)

Thus, the constant of proportionality is 0.45.

Answer:

\(5r^5\)

Step-by-step explanation:

Answer:

it's 5r^5

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

180 - 90 - 68

Answer:

22

Step-by-step explanation:

Answer:

1. 36m squared

2. 60 m squared

3.288 m 2

4. 154m 2

Step-by-step explanation:

Answer:

The alphabets Z, H, S, N and O have rotational symmetry.

2-1. a) The shear stress τ is constant across the flow. b) The velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases. c)v_max = (P₁ - P₂) / (4μL) * \(R^{2}\) and v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr 2-2.a) The shear stress is constant for parallel plates. b) The velocity profile shows that the velocity is maximum at the centerline and decreases parabolically .c)v_max = (P₁ - P₂) / (2μh) and v_avg = (1 / (2h)) * ∫[-h to h] v dr.

2-1. Flow in an annular region between concentric cylinders:

(a) Shear stress profile:

In an incompressible fluid flow between concentric cylinders, the shear stress τ varies with radial distance r. The shear stress profile can be obtained using the Navier-Stokes equation:

τ = μ(dv/dr)

where τ is the shear stress, μ is the dynamic viscosity, v is the velocity of the fluid, and r is the radial distance.

Since the flow is at steady state, the velocity profile is independent of time. Therefore, dv/dr = 0, and the shear stress τ is constant across the flow.

(b) Velocity profile:

To determine the velocity profile in the annular region, we can use the Hagen-Poiseuille equation for flow between concentric cylinders:

v = (P₁ - P₂) / (4μL) * (\(R^{2} -r^{2}\))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the outer and inner cylinders respectively, μ is the dynamic viscosity, L is the length of the cylinders, R is the outer radius, and r is the radial distance.

The velocity profile shows that the velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases, reaching zero at the outer cylinder (r = R).

(c) Maximum and average velocities:

The maximum velocity occurs at the center (r = 0) and is given by:

v_max = (P₁ - P₂) / (4μL) * \(R^{2}\)

The average velocity can be obtained by integrating the velocity profile and dividing by the cross-sectional area:

v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr

where a is the inner radius of the annular region.

2-2. The flow between parallel plates:

(a) Shear stress profile:

For flow between very wide or broad parallel plates, the shear stress profile can be obtained using the Navier-Stokes equation as mentioned in problem 2-1. The shear stress τ is constant across the flow.

(b) Velocity profile:

The velocity profile for flow between parallel plates can be obtained using the Hagen-Poiseuille equation, modified for this geometry:

v = (P₁ - P₂) / (2μh) * (1 - (\(r^{2} /h^{2}\)))

where v is the velocity of the fluid, P₁ and P₂ are the pressures at the top and bottom plates respectively, μ is the dynamic viscosity, h is the distance between the plates, and r is the radial distance from the centerline.

The velocity profile shows that the velocity is maximum at the centerline (r = 0) and decreases parabolically as the radial distance increases, reaching zero at the plates (r = ±h).

(c) Maximum and average velocities:

The maximum velocity occurs at the centerline (r = 0) and is given by:

v_max = (P₁ - P₂) / (2μh)

The average velocity can be obtained by integrating the velocity profile and dividing by the distance between the plates:

v_avg = (1 / (2h)) * ∫[-h to h] v dr

These formulas can be used to calculate the shear stress profile, velocity profile, and maximum/average velocities for the given geometries.

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If \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 then the consumer should buy the commodity y to maximise utility.

Given that \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 of commodities x and y.

Marginal utility is the additional utility that a consumer gets from consuming additional units of commodity. For maximising the utility of the consumer,the ratio of marginal utilities must be equal to the ratio of the products.

There can be two situations in our case:

Because \(MU_{x}/P_{x}\)<\(MU_{y} /P_{y}\)

So to equalise the ratio we need to reduce \(MU_{y} /P_{y}\). To reduce the utility of y the consumer needs to increase the consumption of y because as the consumption of commodity y increase it decreases the utility of commodity y.

Hence if \(MU_{x}/P_{x}\)=30 and \(MU_{y} /P_{y}\)=40 then the consumer should buy the commodity y to maximise utility.

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Answer:

2x=18

x=9

Step-by-step explanation:

So, to start you subtract 12 from 30 to get 18.

then 18 divided by x gives you 9

so X=9

Answer:

2x = 18 and x = 9

Step-by-step explanation:

i've done it before so i know its right

Answer:

2/21 or 9.52%

Step-by-step explanation:

The first thing is to calculate the total number of pencils.

4 + 6 + 5 = 15

Which means that in total there are 15 pencils.

Now the probability of drawing a red pencil is then:

4/15

Without that red pencil, then we have one less pencil in general, that is, 14, so the probability of drawing a yellow is:

5/14

The final probability would then be:

4/15 * 5/14 = 20/210 = 2/21

Now that equals 0.0952, which means that the probability is 9.52%

The measure of AC is 8.4 and measure of C'B' is 21.

A triangle is a three-sided polygon that consists of three edges and three vertices.

CB is the midsegment of the triangle ABC.

We have to find the measures of AC and C'B'

By proportional theorem we find AC

AC'/C'C=10/4

6/x=10/4

24/10=x

2.4=x

A=2.4+6=8.4

C'B'=1/2CB

=1/2×21

=10.5

Hence, the measure of AC is 8.4 and measure of C'B' is 21.

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The height is increasing at the rate of (6/5π) ft/min.

It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.

For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.

The volume of a cone is - V=1/3hπr²

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Answer:

since the line goes through the origin you dont need a y intercept.

y= x/2

or y= 1/2 x

Answer:

Step-by-step explanation:

3x+3y=180-30=150

x+y=50

Answer:

Name: Circle A

Chords: Chord DP, Chord HC

Tangent: EFG

Step-by-step explanation:

Name a circle by the center, in this case it's A.

Chord: A chord is a line only in the circle, not outside of it, and its endpoints are right on the circle.

Tangent of a circle: "Tangent" means touching, and this is a line, in terms of a circle, that touches the circle but is not INSIDE of the circle.  

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

The minimum would be 4,500, and the maximum would be 4,700.

Step-by-step explanation:

If I am not mistaken, you simply need to add or subtract 100 to find the minimum or maximum, as it stated that 4,600 is an estimate that is valid for a range of 100 (up or down).

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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By seeing the percentages given, it can be concluded that

the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

What is percentage?

Suppose there is a number and the number has to be expressed as a fraction of 100. That fraction is called percentage.

For example 2% means \(\frac{2}{100}\)

Here 2 is expressed as a fraction of 100

Here, only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates have broadband internet access. Here limited group of high school graduate student has access to broadband internet access at home while almost unlimited  group of college graduate  students has access to broadband internet access at home. So there is a huge difference of the distribution of broadband internet access  at home between high school graduate and college graduate. So this is a case of Digital divide.

So the fact that only 63% of high school graduates have broadband internet access at home while almost 90% of college graduates do is an example of Digital divide

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Answer:

<1=134 degrees

<2=46 degrees

Step-by-step explanation:

Ans in attachment

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Checking account A is the better deal, because its total monthly

fees amount to $55, while those for checking B account B amount to

$54.

If the requirement is four wire transfer per month

A charges for 4 wires = 10.50 × 4 = $42.00

and adding monthly service fees = 42.00  + 12.00 = $54.00

B charges for 4 wires = 8.50 × 4 = $34.00

and adding monthly service fees = 34.00 + 21.00 = $55.00

Therefore A charges less than B, so checking account A is the better deal.

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Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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Step-by-step explanation:

A)

4x-1= 2(x+7)

4x-2x=14+1

2x=15

x=7.5 .... you can do it on calculator as well

B.

3(3x+2)=2x+13

9x-2x=13-6

7x=7

x=1

Step-by-step explanation:

\(4x - 1 = 2(x + 7) \\ 4x - 2x = 14 + 1 \\ 2x = 15 \\ x = 7.2\)

Answer:

7 nights

Step-by-step explanation:

So total pages = 225

he has read = 120

pages left to reas = 225-120

= 105

so

15 pages = 1 night

1 page = 1/15 night

105 pages = 1/15×105

= 7 nights

There, Bryan will read 7 nights until he finishes the book

The required area is 12 cm².

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The given shape is there on a centimeter square grid.

The side of each square is 1 cm.

Then, it is clear from the figure that it consists of a rectangle of dimensions 4 × 2 and one triangle having height h = 2 cm and base b = 4cm.

Now, the area of the given shape is the sum of the area of the rectangle and the triangle.

It can be written as,

Area of the shape  = Area of rectangle + Area of triangle

                               = length × breadth + 1/2 × base × height

                               = 4 × 2 + 1/2 × 4 × 2

                               = 12

Hence, the area of the given shape is 12 cm².

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The required area of the given figure is 12 squared units.

Given that,
A figure has been shown we have to determine the area of the figure,

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The area of the given figure is given as,
Area = area of the rectangle + area of the larger triangle - area of the small triangle.
Area = 2 × 4 + 1/2 [6 × 2] - 1/2 [2×2]
Area = 8 + 3×2  - 2
Area = 8 + 6 - 2
Area = 14 - 2
Area = 12 squared units.

Thus, the required area of the given figure is 12 squared units.

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