After observing Location B, Dr. Price returns to Location A before descending to
Location C. What is the total distance she travels?

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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The statement given is true. When the bisector of an angle of a triangle bisects the opposite side, the is the triangle isosceles.

In the attached picture of ΔABC, we can see that AD is the bisector of ∠A that meets BC in D, so that BD = DC.

Now, we need to prove that AB = AC.

As construction, produce AD to E so that AD = DE, and then join CE.

So, in ΔABD and ΔECD, we have:

BD = CD

AD = ED

and ∠ADB = ∠EDC because those are vertically opposite angles.

Consequently, based on SAS congruence criterion, ΔABD ≅ ΔECD.

Thus, AB = EC and ∠BAD = ∠CED. And also, ∠BAD = ∠CAD.

For that reason, it means ∠CAD = ∠CED, and AC = EC.

Hence, AB = AC. It is proved that the triangle is isosceles.

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Answer:

its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

b

The probability is closer to one than zero.

Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes,  i.e {(H, H), (H, T), (T, H), (T, T)}.

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The expected value for this game is EV = $0.08

The expected value is equal to the sum between the products between the possible outcomes and the correspondent probabilities.

Assuming that all the marbles have the same probability of being randomly drawn from the bag, then the probability for each color is equal to the quotient between the number of marbles of that color and the total number of marbles, then the expected value is:

notice that there are 3 + 8 + 25 = 36

EV = $4*(3/36) + $2*(8/36) - $1*(25/36)

EV = $0.08

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The federation said it has noted with grave concern that the government proposed Electricity (Amendment) Bill, 2020 towards Privatization of the sector through You are allowed to do as much as is needed to end the perceived or actual threat to your rights. Not more, not less.

That means, at most, incapacitating the intruder. Once they are incapacitated, they no longer pose a threat. Your exact response will vary, according to what is actually going on:

If you are, for example, a trained martial artist, people will expect you to be able to pull your punches and assess what damage you do. Most martial arts do offer knockout blows, chokes, or “leg breakers” that will leave the adversary unable to fight. Once that person is down, call the cops.

If you are not trained in combat, you may prefer to be armed. Typically, the more potentially lethal the armament, the more restraint you need to exercise. So hitting someone with a 2 x  4 plank can be Ok… even hitting them on the head, in order to get a knockout blow. But keeping on hitting once the intruder is down is a no-go.

If you use potentially lethal weapons, such as firearms or knives, you will probably need to give some warning to the other guy that you are willing and able to get serious. As you are not obliged to put yourself in danger, this is balanced by who the other guy is: Some drunk teenager, or an armed and dangerous type? If they are armed, you can shoot first, because to give warning would mean to put yourself in jeopardy.

Whatever you do, your goal can only ever be to knock the fight out of the other guy. Get them down and call the cops. Anything else is no longer self-defense, but a crime in its own right.

So typically, the order of escalation would be

Try to scare off the intruder

If that doesn’t work, try to detain the intruder for long enough to have the cops handle it (like lock him/her in).

If that doesn’t work, try to incapacitate the intruder by whatever means are sure to result in the intruder no longer being a threat, while not putting yourself at undue risk. Again, what this means in detail depends on who you are and who the intruder is. If you’re 6′6″ and a martial artist, and the intruder is a drunk teenager, it will be viewed very differently from when you’re a slim, petite lady with no combat training whatsoever and the intruder is some kind of violent gang member. In one case, it might be perfectly reasonable to use a firearm, in the other, it probably wouldn’t. It is not possible to cover all options here, so use common sense.

That being said, it is also true that you need not suffer the intruder in your home. Which is why the usually easiest and best reaction to end the threat - running away - is not required by law.

Allowances are made for you being scared, and the law has mechanisms for dealing when the perceived threat is way above the actual threat (which is why pro burglars are almost never armed. Carrying a weapon not only increases the time they need to serve if caught, it also allows the other guy to shoot first, which would be a big mess).

Above all, your aim is never to kill, maim or injure. Your goal is to make the other guy stop the attack. The less force required for that, the better for everybody. transferring the asset created with public exchequer inclusive of natural resources to private houses.

The AIPEF has strongly opposed the approach of the government ventilated through the proposed "draconian anti-people electricity legislation with clear object of snatching away right of access to electricity from poor section of Indian people and peasants".

The federation said that it is evident that the bill is for ease of making business for the profit monger community and all aspects related to right to electricity for poor people has been set aside.

The numbers are compared with the inequality symbols as follows:

a. 3 > -3.

b. 12 < 24.

c. -12 > -24.

d. 5 = - (-5).

e. 7.2 > 7.

f. -7.2 < 7.

g. -1.5 = -3/2.

h. -4/5 > -5/4.

i. -3/5 = -6/10.

j. -2/3 < 1/3.

The inequality symbols used in this problem are defined as follows:

The observations to some items are given as follows:

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Answer:

12.8844

the answer is (a)12.8844

a is the correct answer.......

Answer:

The slope of the graph at x=-1 is 2

Step-by-step explanation:

Instant rate of change

Given a real function f(x), the instant rate of change with respect to x is defined as the derivative of f which coincides with the instant value of the slope of the tangent line in the point (x,y).

We have the function:

\(\displaystyle f(x) = x^5+\frac{1}{x^3}+7\)

Prepare the function to apply the power rule of the derivative:

\(\displaystyle f(x) = x^5+x^{-3}+7\)

Recall the power rule:

\((x^n)' = nx^{n-1}\)

Also, the derivative of a constant is zero.

Taking the derivative:

\(\displaystyle f'(x) = 5x^4-3x^{-4}\)

Evaluating for x=-1:

\(\displaystyle f'(-1) = 5(-1)^4-3(-1)^{-4}\)

\(\displaystyle f'(-1) = 5*1-3*1=2\)

The slope of the graph at x=-1 is 2

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

Answer:

\(216\)

Step-by-step explanation:

Remember that \(a^{b}=a*a*a*a*... b~~times\).

So, \(6^3=6*6*6=(6*6)*6=36*6=\boxed{216}\)

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.

Answer:

5 preschoolers

Step-by-step explanation:

So this question states that yesterday, 10 preschoolers chose to play with stuffed animals and 10 different preschoolers chose to so other activities.

We can assume that there were 20 preschoolers at school yesterday (10 + 10 = 20).

From this given information, we can conclude that the preschoolers who would chose to play with stuffed animals would be the same amount at the preschoolers who would chose to do other activities.

Using all of the given information, we can also find that:

10/20 or 1/2 of the preschoolers would chose to play with the stuffed animals

and

10/20 or 1/2 of the preschoolers would chose to do other activities

We are then given that there are 10 preschoolers at school today. We are asked to find out how many of the preschoolers are expected to chose to play with the stuffed animals.

Previously, we found that 1/2 of the preschoolers yesterday chose to play with the stuffed animals. We can use this to find the expected amount of preschoolers who will chose to play with the stuffed animals today.

We can do this by multiplying 1/2 with the number of preschoolers today, or 10:

10 × 1/2 = 10/2 = 5

So it is expected that 5 preschoolers would chose to play with the stuffed animals today.

I hope you find my answer to be helpful. Happy studying.

Answer:

x = 7

Step-by-step explanation:

the 2 is doubled so the 3.5 has to be doubled as well

Answer:

Step-by-step explanation:

To work out the given expression without a calculator, we need to convert the numbers from their respective bases to decimal form and then perform the arithmetic operations. Let's break it down step by step:

11101010 base 2: To convert a binary number to decimal, we multiply each digit by the corresponding power of 2 and sum the results. So, let's calculate:

1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 0 * 2^0 = 234.

2122 base 8: To convert an octal number to decimal, we multiply each digit by the corresponding power of 8 and sum the results. Let's calculate:

2 * 8^3 + 1 * 8^2 + 2 * 8^1 + 2 * 8^0 = 1090.

ABC base 16: To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum the results. Let's calculate:

10 * 16^2 + 11 * 16^1 + 12 * 16^0 = 2748.

123 base 8: We already know that 123 is in base 8 (octal), so we can directly convert it to decimal:

1 * 8^2 + 2 * 8^1 + 3 * 8^0 = 83.

Now, let's perform the arithmetic operations:

234 + 1090 + 2748 - 83 = 3989.

Therefore, the result of the given expression in decimal form is 3989.

Answer: 854.775

Explanation: (19.65 x 40) + [(19.65/2)x7]

I had a little trouble understanding the way the question was worded, so let me know if I'm wrong.

The calculated measure of m∠PNM is 87 degrees

from the question, we have the following parameters that can be used in our computation:

The circle

Where, we have

PM = 360 - 64 - 122

Evaluate

PM = 174

Next, we have

m∠PNM = 1/2 * 174

So, we have

m∠PNM = 87

Hence, the measure of m∠PNM is 87 degrees

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Answer:

The width or range of the confidence interval with sample size 200 will be about half of that of the confidence interval with sample 50.

Step-by-step explanation:

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)

- For the two random samples, of sizes 50 and 200, the Central limit theorem allows us to say that the sample mean is approximately equal to the population mean as this random sample satisfies the condition of being a simple random sample and a distribution obtained from a normal distribution.

- Making the right assumption that population standard deviation is known and z-distribution is used to find the critical value

Critical value for 95% = 1.96

The critical value for both samples are the same then.

- Standard Error of the mean = σₓ = (σ/√n)

where σ = population standard deviation

n = sample size

For the two distributions

Confidence Interval = (Sample mean) ± [(Critical value) × (Standard Error of the mean)

(Sample mean)₅₀ = (Sample mean)₂₀₀

(Critical value)₅₀ = (Critical value)₂₀₀

(Standard Error of the mean)₅₀ = (σ/√50) = 0.1414σ

(Standard Error of the mean)₂₀₀ = (σ/√200) = 0.0707σ

0.1414σ = 2 × 0.0707σ

(Standard Error of the mean)₅₀ = 2 × (Standard Error of the mean)₂₀₀

(Standard Error of the mean)₅₀ > (Standard Error of the mean)₂₀₀

Hence,

(Margin of Error)₅₀ > (Margin of Error)₂₀₀

(Margin of Error)₅₀ = 2 × (Margin of Error)₂₀₀

Confidence Interval = (Sample mean) ± (Margin of error)

Hence, the width or range of the confidence interval with sample size 50 will be about two times larger than the confidence interval with sample 200.

Hope this Helps!!!

(a) This utility function represents a person who has equal preferences for both goods x and y. (b) This utility function represents a person who has a budget constraint and can only afford to buy either x or y, but not both. (c) This utility function represents a person who has a preference for either x or y but not both.

(a) U(x, y) = x + 2y

This utility function represents a person who has equal preferences for both goods x and y. To sketch the indifference curves, we will keep the total utility constant and increase the quantity of one good while decreasing the quantity of the other good.

For example, the first indifference curve can be represented by the equation x + 2y = 10. As we increase x by 1 unit, we decrease y by 0.5 units to keep the total utility constant.

Similarly, we can create a second indifference curve by keeping the total utility constant at a higher value, such as x + 2y = 20. The graph would show that as the total utility increases, the person is willing to have more of both goods x and y.

(b) U(x, y) = min{2x, y}

This utility function represents a person who has a budget constraint and can only afford to buy either x or y, but not both. To sketch the indifference curves, we will keep the minimum of 2x and y constant and show the different combinations of x and y that the person finds equally desirable.

For example, the first indifference curve can be represented by the equation min{2x, y} = 2. This means that the person can either buy 2 units of x or 2 units of y, but not both. As x increases, y decreases and vice versa.

Similarly, we can create a second indifference curve by keeping the minimum of 2x and y constant at a higher value, such as min{2x, y} = 4. The graph would show that as the minimum value increases, the person is willing to have more of both goods x and y.

(c) U(x, y) = max{2x, 3y}

This utility function represents a person who has a preference for either x or y but not both. To sketch the indifference curves, we will keep the maximum of 2x and 3y constant and show the different combinations of x and y that the person finds equally desirable.

For example, the first indifference curve can be represented by the equation max{2x, 3y} = 6. This means that the person either has 6 units of x or 6 units of y, but not both. As x increases, y decreases and vice versa.

Similarly, we can create a second indifference curve by keeping the maximum of 2x and 3y constant at a higher value, such as max{2x, 3y} = 9. The graph would show that as the maximum value increases, the person is willing to have more of both goods x and y.

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Answer:

1/2(x+5) ^2 +2=42.5

Subtract 2 from both sides of the equation.

1/2(x+5) ^2 +2 -2=42.5-2

Subtracting 2 from itself leaves 0.

1/2(x+5) ^2 =42.5-2

Subtract 2 from 42.5.

1/2(x+5) ^2 =40.5

Multiply both sides by 2.

1/2(1/2(x+5) ^2 =(40.5)1/2

(x+5) ^2 =81

Take the square root of both sides of the equation.

x+5=9

x+5=−9

Subtract 5 from both sides of the equation.

x+5−5=9−5

x+5−5=−9−5

Subtracting 5 from itself leaves 0.

x=9−5

x=−9−5

Subtract 5 from 9.

x=4

Subtract 5 from −9.

x=−14

The equation is now solved.

x=4

x=−14

Answer:

the answer is 7 and a half so it would be B

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

I dont see numbers of a function

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A square has 4 sides, so you can do 60 divided by 4 to find how many meters on each side.

60 / 4 = 15 meters for the side length

The side length of the square yard is 15 m.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is side².

We have,

The total length of the fence = 60 meters.

The square yard will have the same length on all four sides.

This means,

The side length of the square yard.

= 60/4

= 15

Thus,

The side length is 15 m.

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Answer:

I can explain how to complete each of the steps you have provided.

1. Draw a point at (1, -2)

This is a simple step. Just mark a dot on your paper at the coordinates (1, -2).

2.

Draw an 8-unit long radius

Using your compass, set the radius to 8 units. Place the compass on the point you drew in step 1 and draw a circle around it, making sure that the radius is 8 units long.

3. Using a compass

Draw a circle with your point from step one as your center and the point from step two as the side: This step is already completed in step 2.

4. Using a protractor draw a 70 degree arc

Place your protractor on the center of the circle (the point you drew in step 1) and draw a 70 degree arc on the circle.

5. Draw a central angle which intercepts your arc

Use a straight edge to draw a line from the center of the circle to each endpoint of the arc you drew in step 4. This creates a central angle, which is an angle whose vertex is at the center of the circle and whose sides intercept the circle.

6. Draw an inscribed angle which intercepts a 40 degree arc

Use a straight edge to draw a line from one endpoint of the 70 degree arc to the other endpoint. Then, draw a perpendicular bisector of this line, which intersects the center of the circle. This creates a 40 degree arc on the circle. Draw a line from the center of the circle to one endpoint of the 40 degree arc, and draw a line from that endpoint to the other endpoint of the 40 degree arc. This creates an inscribed angle, which is an angle whose vertex is on the circle and whose sides intercept the circle.

7. Draw a tangent line

Choose a point on the circle that is not on the 70 degree arc. Draw a line from that point tangent to the circle.

8. Draw a secant line

Choose two points on the circle that are not on the 70 degree arc. Draw a line through those points, which intersects the circle at two points.

9. Equation of your circle

The equation of a circle with center (a,b) and radius r is (x-a)^2 + (y-b)^2 = r^2. Using the coordinates of the center from step 1 and the radius from step 2, the equation of the circle is (x-1)^2 + (y+2)^2 = 64.

(c) 15i + 4b ≥ 100 inequality represents this scenario.

To represent the scenario described in the problem, we need to use an inequality that relates the amount of money Emily spends on ink and brushes to the total amount of money she has available. Let's call the amount of ink Emily buys "x" and the number of brushes "y". Then the total amount of money she spends is:

Total cost = 8x + 18y

We want to know when this total cost is less than or equal to $100, so we can write:

8x + 18y ≤ 100

This inequality means that the total cost of ink and brushes must be less than or equal to the amount of money Emily has available. Therefore, the answer is (c) 15i + 4b ≥ 100.

Correct Question :

Emily has $100 extra to spend on supplies for her T-shirt-making business. She wants to buy ink, i, which costs $8 a bottle, and ne brushes, b, which are $18 each. Which inequality below represents this scenario?

a) 4i+100 ≤ 15b

b) 15i + 4b ≤ 100

c) 15i + 4b ≥ 100

d) 4i + 15b ≤ 100

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Answer:D

Step-by-step explanation:

please mark brainliest