Renaldo plans to leave from Atlanta and fly into London (4281 miles). On the return, he will fly back from London to New York City (3470 miles) to visit his aunt. Then Renaldo heads back to Atlanta. Atlanta, New York City, and London do not lie on the same line. Find the range of the total distance Renaldo could travel on his trip.

Answers

Answer 1

The total distance Renaldo could travel on his trip when he starts from Atlanta goes to London and  Newyork city, and return to Atlanta is 15502 miles.

What is distance?

The complete movement of an object, regardless of direction, is referred to as distance. The amount of ground a thing travels from its starting point to its destination is also referred to as distance.

Given:

The distance between Atlanta and London = 4281 miles,

The distance between London to Newyork city  = 3470 miles,

Write the trip blue plan as shown below,

Renaldo start from Atlanta → London → Newyork city →  London → Atlanta

Calculate the total distance as shown below,

The total distance = 4281 + 3470 + 3470 + 4281

The total distance = 2 (4281 + 3470)

The total distance = 2 × 7751

The total distance = 15502 miles

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Related Questions

what is 5.385 rounded to the nearest tenth

Answers

5.385 rounded to the nearest tenth is 5.4

A baseball cap costs $8. A matching shirt costs 4 times as much as the cap. Which of the following can be used to determine the cost of the shirt?
A 8 divided 2
B 8-4
C 8+4
D 8x4?
Please help and and explain why thank you

Answers

Answer: 8 x 4

Step-by-step explanation:

if the hat is 4 TIMES the baseball cap then u should multiply. anytime “times” is in a sentence like that it’s an automatic flag/reminder that multiplication is needed

Answer:

D.

Step-by-step explanation:

The matching shirt costs 4 times as much as the cap; The cap is $8. In that case, the question just told us the answer. 4 times $8 = 4*8 or 8*4 = $32. So if you had to determine the cost, the shirt is $32.

Find the slope of a line with x-intercept 5 and y-intercept -3.

Answers

Answer:

3/5

Step-by-step explanation:

When you are given an x-intercept, the y value will always be 0.

When you are given a y-intercept, the x value will always be 0.

With the intercepts we are given, we can make two points we can solve for the slope with.

(5, 0)

(0, -3)

Now, find the slope with the formula [ y2-y1/x2-x1 ]

-3-0/0-5

-3/-5

3/5 or 0.6

Best of Luck!

Un terrain de foot de longueur 120m est représenté par une maquette de longueur 37.5m
Calcule l'echelle

Answers

Answer:

0,31

Step-by-step explanation:

l'échelle = mesure plan/mesure réelle

37,5/120 ≈ 0,31

The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of an ideal gas are related by the equation PV = 8.317. Find the rate at which the volume is changing when the temperature is 330 K and increasing at a rate of 0.05 K/s and the pressure is 24 and increasing at a rate of 0.02 kPa/s. L/S

Answers

The rate at which the volume is changing when the temperature is increasing at 0.05 K/s and the pressure is increasing at 0.02 kPa/s is approximately -0.000480 V liters per second, according to the given equation PV = 8.317.

To find the rate at which the volume is changing when the temperature is 330 K and increasing at a rate of 0.05 K/s, and the pressure is 24 kPa and increasing at a rate of 0.02 kPa/s, we can use the chain rule of differentiation.

Given:

PV = 8.317

Taking the derivative of both sides with respect to time t, we have:

P(dV/dt) + V(dP/dt) = 0

Since we are looking for the rate at which the volume is changing, we need to solve for (dV/dt):

(dV/dt) = -(V(dP/dt))/P

Substituting the given values at the specific time:

P = 24 kPa

(dP/dt) = 0.02 kPa/s

V = PV/8.317 (from the ideal gas equation)

Substituting these values, we have:

(dV/dt) = -((PV/8.317)(dP/dt))/P

(dV/dt) = -((24V/8.317)(0.02))/24

Simplifying:

(dV/dt) = -0.004V/8.317

(dV/dt) ≈ -0.000480 V

Therefore, the rate at which the volume is changing when the temperature is 330 K and increasing at a rate of 0.05 K/s, and the pressure is 24 kPa and increasing at a rate of 0.02 kPa/s, is approximately -0.000480 V liters per second.

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Help Me Again Please

Help Me Again Please

Answers

Answer:

22

Step-by-step explanation:

6+8^2/4

= 6+64/4

= 6+16

=22

Hope this helps :)

the answer will be 22

ONLY IF U ANSWER CORRECTLY U WILL GET BRAINLEIST! asap i reallly need this please help :(

ONLY IF U ANSWER CORRECTLY U WILL GET BRAINLEIST! asap i reallly need this please help :(

Answers

Answer: A.

Step-by-step explanation: Brainliest

5) Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8
hours more than Week 1. If Phillip earned $540 for both weeks, how many hours did he work
during Week 2?

Answers

Answer:

2,160 Hours

Step-by-step explanation:

Ok so usual i would split $540 in half so a number multiplied by two would end up as 540, and i got 270. So since each week we know Phillip earned $270 and $11.25 a hour, we can divide 270 by 11.25, which gives us $24, so that means h = 24, but on week 2 it says Phillip worked 8 hours more on week 2, so that gives us a equation of 8 x 11.25, which comes out to 90, so now we can move on to our final equation, 90 x 24, which equals 2160. Im so sorry if this is wrong

Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

What is unit rate?

A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.

Given that, Phillip earns $11.25 per hour. During Week 1, he worked h hours. During Week 2, he worked 8 hours more than Week 1. Phillip earned $540 for both weeks,

The unit rate for the work of Phillip is given, $11.25 per hour.

Therefore, his earning for h hours = $11.25h

For (8+h) hours = $11.25(h+8)

Since, he earned $540 for both weeks,

Therefore,

11.25(h+8) + 11.25h = 540

11.25h + 90 + 11.25h = 540

22.5h = 450

h = 20

h+8 = 28

Hence, Phillip worked for 20 hours and 28 hours in 1 and 2 weeks respectively.

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please help QUICK i will make u brainliest

please help QUICK i will make u brainliest

Answers

Answer:

1. 1.25 \(g/cm^{3}\)

2. 1.36 \(g/cm^{3}\)

3. 1.04 \(g/cm^{3}\)

4. 0.79 \(g/cm^{3}\)

Step-by-step explanation:

Density = Mass/Volume

1. 15g/\(12cm^{3}\) = 1.25 \(g/cm^{3}\)

2. 7.5g/\(5.5cm^{3}\) = 1.36 \(g/cm^{3}\)

3. 26g/\(25cm^{3}\) = 1.04 \(g/cm^{3}\)

4.  1350g/\(1700cm^{3}\) = 0.79 \(g/cm^{3}\)

Answer:

1. 1.25

2. 1.36

3. 1.04

4. 0.79

What ratio is equivalent to 21/35

Answers

A 2:5 ratio. Because 21 divided by 7 equals 3 and 35 divided by 7 equals 5. And I did it by 7 because thats common factor

Do you think you can determine the imaginary solutions by examining the graph? Explain your reasoning.

Do you think you can determine the imaginary solutions by examining the graph? Explain your reasoning.

Answers

The answer to whether or not it is possible to determine imaginary solutions by examining the graph of p(x)=x^2+1 is no.

What is function?

Function is a block of code that performs a specific task. It is a reusable code that can be called multiple times with different parameters. Functions are an important part of programming because they allow you to reuse code and make your code more organized and efficient. Functions also make it easier to debug code, as errors can be contained to a single function instead of spreading throughout the entire program.

The graph of this function does not contain any imaginary solutions, instead it is a parabola with its vertex at the origin and its axis of symmetry being the y-axis. This can be seen from the graph, as the graph is symmetrical about the y-axis and does not contain any points in the fourth quadrant, meaning that any solutions that would fall in this quadrant would be imaginary.

In addition, imaginary solutions cannot be determined from this graph, as the imaginary solutions would not be visible on the graph. Imaginary solutions are solutions that are not real, meaning they are not visible on the graph, as they do not exist in the real number system. This is because the graph only displays real number solutions, not imaginary ones.
Therefore, it is not possible to determine imaginary solutions by examining the graph of p(x)=x^2+1, as the graph only displays real number solutions, and imaginary solutions cannot be seen on the graph.

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Sela's piano lesson starts at 4:45pm. The lesson is 30 minutes long.
When does her lesson end

Answers

Answer:

The lesson ends at 5:15 pm.

Answer:

Her piano lesson ends at 5:15pm

Hope it helps:)

Karl set out to Alaska in his truck.
The amount of fuel remaining in the truck's tank (in liters) as a function of distance driven (in kilometers) is graphed.
A first quadrant coordinate plane. The horizontal axis is from zero to nine hundred with a scale of one hundred and is titled Distance in kilometers. The vertical axis is from zero to five hundred fifty with a scale of fifty and is titled Fuel in liters. The graph of the line is y equals negative three-fifths x plus five hundred. The graph ends at each axis.
A first quadrant coordinate plane. The horizontal axis is from zero to nine hundred with a scale of one hundred and is titled Distance in kilometers. The vertical axis is from zero to five hundred fifty with a scale of fifty and is titled Fuel in liters. The graph of the line is y equals negative three-fifths x plus five hundred. The graph ends at each axis.
How much fuel was initially in the tank?

Answers

Considering the linear function described, 500 liters of fuel were initially in the tank.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.

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How do you convert and equation from slope-intercept form to standard form ?

Answers

Answer:

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

explanation:

pls make me brainliest

The highest elevation in a small country occurs on
a mountain 1232 meters above sea level, while
the lowest elevation in the same country occurs at
-27 meters (below sea level). What is the difference
in elevation between the highest and lowest points?
A 1259 meters
B 46 meters
C 1205 meters
D none of these

Answers

Answer:

a

Step-by-step explanation:

Pat paid $85.50 for renting a scooter for 6 hours. What was the rate per hour for renting the scooter? (Input only numeric values and decimal point, and report prices to two decimal places, such as 12.30.

Answers

Divide $85.50 by 6

$85.50/6 = $14.25

Therefore, the rate per hour for renting the scooter is $14.25

Write an equation of the line shown. Then use the equation to find the value of $x$ when $y=134$ .

Answers

Answer:

Step-by-step explanation:

Find the graph attached. The formula for finding the equation of a line is expressed as:

y = mx+c

m is the slope

c is the intercept (point where the line cuts the y axis)

m = y2-y1/x2-x1

Using the coordinate (1,22) and (4, 40) to calculate the slope of the line, we will have:

m = 40-22/4-1

m = 18/3

m = 6

For the intercept:

From the grapg, it can be seen that the line cuts the y axis at y = 18. Hence the intercept c = 18

The equation of the line will be:

y = 6x+18

Substitute y = 134 into the formula to get x as shown:

134 = 6x+18

134-18 = 6x

116 = 6x

x = 116/6

x = 19.33

Write an equation of the line shown. Then use the equation to find the value of $x$ when $y=134$ .

SImplify : 64 5/6
please helpppp

Answers

Answer:

64 5/6 is in simplest form. The decimal form of this equation is 64.8333333. The improper fraction of this equation is 389/6

Step-by-step explanation:

64 5/6 is a fraction already in simplest form. However, we can convert it into decimal form. We can change it to its decimal form,  64.8333333, by dividing 5 by 6 (0.8333333) and adding it to 64. Finally, we can turn this fraction into an improper fraction, 389/6. First, you multiply 64 by 6 (384) and then add the remain 5 to get 389. Since this mean 389 parts of 6, we end up with 389/6.

Use the Distance Formula to find the distance between (1, 3) and (-2,9), rounded to the nearest hundredth.
The distance between the points is about____
units

Answers

Answer:

3\(\sqrt{5\\\)

Step-by-step explanation:

The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.

The bears in Alaska are limited to a certain area to live due to the resources available forfood and

Answers

The number of bears living in the area after 17 years is; 22555

How to solve exponential functions?

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

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Factor completely. a^n+a^n+1

Answers

The answer is 2a^n+1

The requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= aⁿ +aⁿ⁺¹

In order to factor the above expression we are using the property,
x²  = x¹ (x¹)

So,
= aⁿ + a.aⁿ

Now, taking aⁿ common,

= aⁿ(1 + a)

So, aⁿ and (1 + a) are the requried factors.

Thus, the requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

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In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form

Answers

Answer:

1.75 × 10⁶

Step-by-step explanation:

7,000,000 ÷ 4 = 1750000

Which is 1.75 × 10⁶ in standard form

In which interval does a root exist for this equation? tan(x) = 3x^2

PLEASE HELP

In which interval does a root exist for this equation? tan(x) = 3x^2 PLEASE HELP

Answers

The equation tan(x) = 3x^2 can be solved using numerical methods such as the Newton-Raphson method or the bisection method. However, it is not possible to find the exact solution of this equation using algebraic methods.

To determine the interval for which a root exists, you can use the intermediate value theorem.

First, observe that the left-hand side of the equation, tan(x), is undefined for x = (n + 1/2) π, where n is an integer. Thus, we can restrict our attention to the interval (-π/2, π/2) where the tangent function is continuous and strictly increasing.

Next, note that tan(0) = 0 and tan(π/6) = 1/√3 < 3/36 = 1/12. Also, as x approaches π/2 from the left, tan(x) approaches infinity, while 3x^2 approaches infinity faster. Therefore, there exists at least one root of the equation in the interval (0, π/6).

Similarly, tan(-π/6) = -1/√3 > -1/12, and as x approaches -π/2 from the right, tan(x) approaches negative infinity, while 3x^2 approaches infinity faster. Therefore, there exists at least one root of the equation in the interval (-π/6, 0).

Therefore, the equation tan(x) = 3x^2 has at least one root in the interval (-π/6, π/6).

Suppose the probability distribution for X = number of jobs held during the past year for students at a school is as in the following table.
No. of Jobs, X 0 1 2 3 4
Probability 0.17 0.35 0.25 0.16 0.07
(a) Find P(X 2), the probability that a randomly selected student held two or fewer jobs during the past year.
P(X 2) =
Correct: Your answer is correct.
(b) Find the probability, P that a randomly selected student held either one or two jobs during the past year.
P =
Incorrect: Your answer is incorrect.
(c) Find P(X > 0), the probability that a randomly selected student held at least one job during the past year.
P(X > 0) =
Correct: Your answer is correct.
(d) Fill in the table that lists the cumulative probability distribution function for X.
k 0 1 2 3 4
P(X<=k)

Answers

a.  P(X ≤ 2) = 0.77

b.  P(X = 1 or X = 2) = 0.60

c.  P(X > 0) = 0.83

d. The cumulative probability distribution function for X is given in the table.

(a) The probability of a randomly selected student holding two or fewer jobs during the past year is given by the sum of the probabilities of holding 0, 1, or 2 jobs:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.17 + 0.35 + 0.25 = 0.77

Therefore, P(X ≤ 2) = 0.77.

(b) The probability of a randomly selected student holding either one or two jobs during the past year is given by the sum of the probabilities of holding 1 or 2 jobs:

P(X = 1 or X = 2) = P(X = 1) + P(X = 2) = 0.35 + 0.25 = 0.60

Therefore, P = 0.60.

(c) The probability of a randomly selected student holding at least one job during the past year is the complement of the probability of holding no jobs:

P(X > 0) = 1 - P(X = 0) = 1 - 0.17 = 0.83

Therefore, P(X > 0) = 0.83.

(d) The cumulative probability distribution function for X is the sum of the probabilities up to and including the value k:

P(X ≤ k) = ∑P(X = i) for i = 0 to k

Using the given probabilities, we can fill in the table:

k   0    1    2    3    4

P(X ≤ k) 0.17 0.52 0.77 0.93 1.00

Therefore, the cumulative probability distribution function for X is:

P(X ≤ k) = 0.17 for k = 0

P(X ≤ k) = 0.52 for k = 1

P(X ≤ k) = 0.77 for k = 2

P(X ≤ k) = 0.93 for k = 3

P(X ≤ k) = 1.00 for k = 4

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Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449]

Answers

In this simulation experiment, the population distribution represents the lifetimes of a certain type of electronic control and the density curve in the figure represents the population distribution.

The distribution is skewed and follows a lognormal distribution with an expected value of ln(X) equal to 3 and a variance of ln(X) equal to 0.16. The experiment consisted of 500 replications and examined different sample sizes: n = 5, n = 10, n = 20, and n = 30.

The density curve in the figure represents the population distribution, with an expected value of E(A) equal to 21.7584 and a variance of V(X) equal to 82.1449. The histograms shown illustrate the distribution of sample means for the different sample sizes. Additionally, a normal probability plot from MINITAB is included for the x-values based on a sample size of n = 30, allowing for an assessment of the normality assumption for the sample means.

These visual representations provide valuable insights into the characteristics of the simulated experiment's population distribution, as well as the behavior of the sample means for different sample sizes.

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The complete question is:

Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449].

Consider a simulation experiment in which the population distribution is quite skewed. The figure below

find the area under the standard normal curve over the interval specified below to the right of z=3

Answers

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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divide 81 ft in the ratio 5 :4

Answers

Answer:

Rr = 51 : 68

Step-by-step explanation:

State what additional information is required in order to know the
triangles are congruent using the theorem or postulate listed.

State what additional information is required in order to know thetriangles are congruent using the theorem

Answers

Answer: line ZX is congruent to line VX (option 4)

Step-by-step explanation:

We already know <X is congruent to <X, we also know that line YX is congruent to line XW. Now all we need is one more line adjacent to X which is going to be ZX ad VX

find the slope of (6,1) and (6,-3)

Answers

Answer:

Step-by-step explanation:

find the slope of (6,1) and (6,-3)
find the slope of (6,1) and (6,-3)

Quadrilateral ABCD is shown on the coordinate plane.
What needs to be proven to conclude that quadrilateral ABCD is a parallelogram?
A
-6 -4 -2
B.
C.
O A. slope of AB = slope of CD and slope of BC = slope of DA
slope of AB= slope of BC and slope of CD= slope of DA
side length of BC= side length of DA and slope of DA x slope of AB = -1
OD. side length of AB= side length of CD and slope of BC x slope of CD=-1
6
4-
2+
-2-
4-
-6-
D
B
6
C
X

Quadrilateral ABCD is shown on the coordinate plane.What needs to be proven to conclude that quadrilateral

Answers

Answer:

The slope of AB = slope of CD and slope of BC = slope of DA

Hope this helps!

Step-by-step explanation:

Quadrilateral ABCD is shown on the coordinate plane.What needs to be proven to conclude that quadrilateral
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