Sarah and Eva took a road trip. Sarah drove two-fifths of the miles. If she drove 128 miles , how many total miles did they drive?


I need the answer without x being the equal. thanks!

Answers

Answer 1

Answer: 320 miles

Step-by-step explanation:

Let the miles that they drove be represented by x.

Since Sarah drove two-fifths of the miles which is 128 miles, then the total miles would be:

= 2/5 × x = 128

0.4 × x = 128

0.4x = 128

x = 128/0.4

x = 320

The total miles is 320 miles.


Related Questions

Solve the inequality. Graph the solution -3s<11s+1

Answers

\(-3s\textless11s+1\\\\\\\\-3s-11s < 1\\\\\\-14s < 1\\\\\\-s < \frac{1}{14} \\\\s > -\frac{1}{14}\)

===========================

\(\textcopyright ELIZA\)

a child advocate collects data by randomly selecting 4 of the 25 state orphanages and surveys every child in the four orphanages.

Answers

The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

To know more about advocate visit:

https://brainly.com/question/10164456

#SPJ11

The sum of the first m terms of an arithmetic sequence with first term −5 and common difference 4 is 660. Find m

Answers

Based on the arithmetic sequence with the first term −5 and the common difference 4 is 660, we could find m = 20.

To find the sum of the first m terms of an arithmetic sequence, we can use the formula:

sum = (m/2)(2a + (m-1)d),

where a is the first term,

d is the common difference,

and m is the number of terms.

In this case, we are given a = −5, d = 4, and sum = 660. We can plug these values into the formula and solve for m:
660 = (m/2)(2(-5) + (m-1)(4))
660 = (m/2)(-10 + 4m - 4)
660 = (m/2)(4m - 14)
1320 = m(4m - 14)
0 = 4m^2 - 14m - 1320

Now we can use the quadratic formula to solve for m:
m = (-b ± √(b^2 - 4ac))/(2a)
m = (-(−14) ± √((−14)^2 - 4(4)(-1320)))/(2(4))
m = (14 ± √(196 + 21120))/8
m = (14 ± √21316)/8
m = (14 ± 146)/8

Now we have two possible values for m:
m = (14 + 146)/8 = 160/8 = 20
m = (14 - 146)/8 = -132/8 = -16.5

Since m must be a positive integer, we can conclude that m = 20. Therefore, the sum of the first 20 terms of the arithmetic sequence is 660.

Here to learn more about The Arithmetic Sequence at the link https://brainly.com/question/28369191

#SPJ11

Given that 5 x : 9 = 7 : 3 Calculate the value of x . Give your answer in its simplest form.

Answers

The value of x in the ratio 5x : 9 = 7 : 3 is x = 21/5

How to determine the value of x in the ratio?

From the question, the ratio is given as

5x : 9 = 7 : 3

Express the ratio, as a fraction

So, we have the following representation

5x / 9 = 7 / 3

Cross multiply the following expression

So, we have the following representation

3 * 5x = 9 * 7

Evaluate the products

15x = 63

Divide both sides by 15

So, we have

x = 63/15

Simplify the fraction

x = 21/5

Hence, the solution to the ratio is x = 21/5

Read more about ratio at

https://brainly.com/question/1781657

#SPJ1

The temperature at noon was ­ 8 °.
How many degrees colder is 15°?

Answers

Answer:

7 degrees colder

Step-by-step explanation:

15 degrees - 8 degrees = 7 degrees

how fast is the angle between the ladder and the ground changing in example 2 when the bottom of the ladder is 6 ft from the wall?

Answers

The angle between the ladder and the ground is - 0.075 rad/s.

Pythagoras' theorem is a essential relation in Euclidean geometry among the 3 facets of a proper triangle. It states that the region of the rectangular whose aspect is the hypotenuse (the aspect contrary the proper angle) is identical to the sum of the regions of the squares on the alternative  facets.

cosθ = x/10

On differentiating the above equation,

- sinθdθ/dt = (1/10)dx/dt

dθ/dt = -(1/10)dx/dt/sinθ

sinθ = y/10

= √(100 - 36)/10

= 0.8; dθ/dt

= -(1/10)·0.6 ft/s/0.8

= - 0.075 rad/s

To learn more about triangle check the link below:

https://brainly.com/question/17335144

#SPJ4

11. A patio lounge chair can be reclined at various angles, one of which is illustrated below.

.
Based on the given measurements, at what angle, θ, is this chair currently reclined? Approximate to the nearest tenth of a degree.

a. 31.4 b. 33.2 c. 40.2 d. 48.6

11. A patio lounge chair can be reclined at various angles, one of which is illustrated below. . Based

Answers

The angle, θ, at which the chair is currently reclined is approximately 31.4 degrees. Thus, the correct option is a. 31.4.

To determine the reclined angle, θ, of the patio lounge chair, we can use trigonometry and the given measurements.

In the diagram, we can see that the chair's reclined position forms a right triangle. The length of the side opposite the angle θ is given as 1.2 meters, and the length of the adjacent side is given as 2.3 meters.

The tangent function can be used to find the angle θ:

tan(θ) = opposite/adjacent

tan(θ) = 1.2/2.3

θ = arctan(1.2/2.3)

Using a calculator, we can find the arctan of 1.2/2.3, which is approximately 31.4 degrees.

Therefore, the angle, θ, at which the chair is currently reclined is approximately 31.4 degrees. Thus, the correct option is a. 31.4.

for such more question on angle

https://brainly.com/question/25716982

#SPJ8

(p) Lee completes a journey in three
stages. In stage 1, he drives at 30 km/h
for 45 minutes. In stage 2, he drives at 50
km/h for 2 hours 48 minutes. Altogether,
over all three stages, he drives 200 km in
4 hours. What is Lee's average speed in
stage 3 of his journey?

Answers

Lee's average speed in stage 3 of his journey is 83.33 km/h.

What is an average speed?

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Here, we have

Lee travels in stage 1 of his journey is

d = s × t

d = 30 × 3/4

d = 22.5km

Lee travels in stage 2 of his journey is

d = s × t

d = 50 ×2(48/60)

d = 140km

The average speed in stage 3 is

d = 200 - 140 - 22.5 = 37.5km

t = 4hr - 2hr48m - 45m = 27 min

s = 37.5 ÷ 0.45 = 83.33 km/h

Hence, Lee's average speed in stage 3 of his journey is 83.33 km/h.

To learn more about the average speed from the given link

https://brainly.com/question/24739297

#SPJ1

solve pls brainliest

solve pls brainliest

Answers

Answer:

mixed number: 2 1/4

improper fraction: 9/4

Answer:

mixed number: 2 1/4

improper fraction: 9/4

Step-by-step explanation:

hope it helps

would appreciate brainly

use inverse operation to solve 1 1/8=2 1/4x

Answers

The value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

What is the inverse operation?

Addition and subtraction, multiplication, and division are examples of inverse operations, which are pairs of mathematical operations where one operation reverses the effects of the other.

Given:

1 1/8=2 1/4x

Solve the above equation by using the inverse operation.

Solve the mixed fraction into improper fractions as shown below,

9 / 8 = 9 / 4 x

x = 9 / 8 × 4 / 9

x = 1 / 2

Therefore, the value of x in 1 1/8=2 1/4x by using inverse operation is 1 / 2.

To know more about the inverse operation:

https://brainly.com/question/1210406

#SPJ1

Y= 4+3x solve it and pls hurry

Answers

Answer:

Step-by-step explanation:

y = 4 + 3x

3x + 4 = y

     - 4 - 4

3x = y - 4

/ 3      / 3

x = 1/3y - 4/3

integral of 1/sqrt(x^2 - a^2) dx

Answers

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

To know more about substitution method visit :-

https://brainly.com/question/12688945

#SPJ11

The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

To learn more about integration visit:

https://brainly.com/question/27419605

#SPJ4

Develop the B&B tree for each of the following problems. For convenience, always select x₁ as the branching variable at node 0. Maximize z = 3x₁ + 2.8% subject to 2x + 5.x₂ = 18 4.x₁ + 2x₂ = 18 X₁, X₂0 and integer

Answers

To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

To know more about Probability visit-

brainly.com/question/31828911

#SPJ11

gabriella went skiing. she paid $35 to rent skis and $15 an hour to ski. if she paid a total of $95, how many hours did she ski?

Answers

Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

To know more about equation click here

brainly.com/question/649785

#SPJ11

Which of the following is equivalent to 8^(1/3)?
Option 1
Option 2
Option 3
Option 4
(look at photo for answers)

Which of the following is equivalent to 8^(1/3)? Option 1Option 2 Option 3Option 4(look at photo for

Answers

the answer is option 2....

Answer:

Option 2

Step-by-step explanation:

when the power appears as a fraction, take the root of the number based on the denominator of the fraction when numerator is equal to 1

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate

Answers

The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

learn more about distance here

brainly.com/question/13832664

#SPJ4

The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

help me plzzzzzzzzzzzzzz

help me plzzzzzzzzzzzzzz

Answers

f(x) = -3x^2 - 6x, Find f(-9)

Substitute -9 for every x.

-3(-9)^2 - 6(-9)

Multiply and get final value.

-243 - 6(-9)

-243 + 54

Answer: -189

Answer:

f(-9) = -189

Step-by-step explanation:

f(x) = -3x² - 6x

Plug in -9 for x.

f(-9) = -3(-9)² - 6(-9)

According to PEMDAS (parentheses/exponents | multiplication/division | addition/ subtraction), we should solve the exponents first.

f(-9) = -3(81) - 6(-9)

Now, multiply.

f(-9) = -243 + 54

Now, add.

f(-9) = -189

This is your answer.

Hope this helps!

A researcher selects a sample and administers a treatment to the individuals in the sample. if the sample is used for a hypothesis test, what does the null hypothesis (h0) say about the treatment?

Answers

The null hypothesis (H0) says about the treatment is that it does not affect the scores.

What is hypothesis testing?

Hypothesis testing is the statistical method that uses the data from a sample to conclude a population parameter or a population distribution.

There are two types of hypothesis testing. They are the null hypothesis and the alternative hypothesis.

If the obtained value is less than the threshold value then the null hypothesis is accepted and the alternative hypothesis is rejected.If the obtained value is greater than the threshold value then the null hypothesis is rejected and the alternative hypothesis is accepted.

What is a null hypothesis?The null hypothesis says that there is no difference between the sample means of the two groups.This is a statement about a population parameter.Where the possibilities are the same.

It is given that,

A researcher selects a sample and administers a treatment to the individuals in the sample.

A hypothesis test is conducted on the sample.

So, the null hypothesis (H0) says about the treatment is that it does not affect the score obtained.

Learn more about the null hypothesis test here:

https://brainly.com/question/515658

#SPJ4

a random variable from an experiment where outcomes are normally distributed a. can have any value between -infinity and infinity. b. can have only a few discrete values c. can have positive values d. can have no values

Answers

a random variable can have any value that is possible within the range of -infinity and infinity.So a. can have any value between -infinity and infinity.

A random variable from an experiment with outcomes that are normally distributed can take on any value between -infinity and infinity. This means that it can take on any real number, including fractions and decimals. It is not limited to only a few discrete values, nor does it have to be positive.

A random variable from an experiment with outcomes that are normally distributed can take on any real value between -infinity and infinity. This means that the variable is not limited to a few discrete values, nor does it have to be positive. Instead, it can have any value, no matter how small or large, and including fractions and decimals. Such a random variable can have any value that is possible within the range of -infinity and infinity.

Learn more about variable here

https://brainly.com/question/29430246

#SPJ4

HELP PLEASE?e?e?e?E?E?E?E?EE?E?E?e

HELP PLEASE?e?e?e?E?E?E?E?EE?E?E?e

Answers

Answer:

1/2

Step-by-step explanation:

You put 5 as a numerator and then 10 as a denominator which is 5/10. But you can simplify it, so you change it to 1/2. Hope this helps!

Answer:

1/2

Step-by-step explanation:

Help me, please
I really need

Help me, pleaseI really need

Answers

Answer:

answrr

yes ok

Step-by-step explanation:

4+4-4#_44

Suppose a charity received a donation of $22.9 million. If this represents 48% of the charity's donated funds, what is the total amount of its donated funds?
Round your answer to the nearest million dollars.

Answers

2.3788888&88880000000

A new car is purchased for 24800 dollars. The value of the car depreciates at 12% per year. What is the y-intercept (starting value)? *

Answers

Answer:

$24,800

Step-by-step explanation:

that's how much the car costs at year 0

Answer:

Step-by-step explanation:

The starting value, y intercept, is just the initial value as it has not depreciated when time or x is zero.

The equation described is y=24800(0.88)^x

DE D 5х - 12 Е Зх 3х - 4 4 F

DE D 5 - 12 3 - 4 4 F

Answers

EXPLANATION

We have an equilateral triangle because the 3 angles are congruent as shown in the picture and all legs are congruent:

So, 5x-12 = 3x - 4

Adding +12 to both sides:

5x - 12 + 12 = 3x - 4 + 12

Simplifying:

5x = 3x + 8

Subtracting both sides by -3x:

5x - 3x = 3x - 3x + 8

Simplifying:

2x = 8

Dividing both sides by 2:

x = 8/2

Simplifying:

x=4

Now, replacing in any equation, as 5x - 12:

5*(4) - 12= 8

In conclusion, all the legs are congruent and equal to 8.

Answer: DE= 8

What is the volume of this rectangular prism?

O A. 11 cm3
O B. 56 cm3
O C. 64 cm
O D. 28 cm3​

What is the volume of this rectangular prism? O A. 11 cm3 O B. 56 cm3 O C. 64 cm O D. 28 cm3

Answers

Answer:

28

Step-by-step explanation:

I think because the formula for the volume of a rectangular prism is whl

Distributive property for x(11+2), please????

Answers

Answer: 13x

Step-by-step explanation: Multiply x to 11 and 2

11x+2x=13x

x(11+2)= 13x because you have to distribute the x and i’ll give you 11x+2x and then you just add them together they both have x and get 13x.

Help if don't know don't answer and link i will report

Help if don't know don't answer and link i will report

Answers

∠6 is an alternate interior angle to ∠3

∠5 corresponds to ∠7

∠7 is a consecutive interior angle to ∠6

∠8 is an alternate exterior angle to ∠1

Helppppppppppppppppp​

Helppppppppppppppppp

Answers

Answer:

3)

Step-by-step explanation:

An equation is linear if equal changes in x produce equal changes in y.

Let's look at each choice.

1)

A decrease of 10% per year. That means each year, the value of the car is 0.9 times the value of the previous year.

For example, if the original value was $10,000, after 1 year, it is worth 0.9 * $10,000 = $9,000. In 1 year it lost $1,000. In the next year, its value is now 0.9 * $9,000. The value at the end of the 2nd year is $8,100. In the second year, it lost $900 in value. In one period of 1 year it lost $1000 in value. In another equal period of 1 year, it lost $900 in value. A change of 1 year in time produces different changes in loss of value, so it is not linear.

2)

Here, the number doubles every year. Let's say it starts with 100 fish. After 5 years, it has 200 fish. In a change of 5 years in x, the change in y is 100. In the next 5 years, it goes from 200 fish to 400 fish. The change in the second period of 5 years is 200. We see that a change of 5 years can produce a change of 100 fish, but another change of 5 years can produce a change is 100 fish. Since for equal changes in x, the changes in y are not all equal, this is not linear.

3)

Here for every change of 1 day in x, the change in y is 2 liters. Each change of 1 in x always produces a change of 2 in y. This is linear.

4)

Each 2 hours, the amount of caffeine is 2/3 of what it was before. This is similar to the choice 1), and it is not linear.

Answer: 3)

a wheat farmer is investigating the effectiveness of a treatment for controlling a pest. a random sample of 500 plants shows that 47 of them are infected by the pest. what does this sample indicate about the claim that 20% of the plants are infected?

Answers

The sample indicates that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

This given test is a test for single sample proportion

The test hypothesis are:

\(H_{o} :p=0.20\), null hypothesis

\(H_{1} :p\neq 0.20\), alternative hypothesis

The test statistic fallows a standard normal distribution and is given by:

\(Z=\frac{x-p}{{\sqrt{p(1-p)/n} } }\)

p=0.20

X=47 plants

Sample size, n=500

x, is the sample mean:

x=X/n=47/500

x=0.094

So, test statistic is calculated as:

\(Z=\frac{0.094-0.20}{\sqrt{0.20(1-0.20)/500} }\)

Z=-5.93

From the z-table, the p-value associated with Z=-5.93 is approximately 0

The decision rule based on p-vale, is to reject the null hypothesis if p-value is less than confidence level

In this case, the p-value is very small and less than confidence level of 0.20, we therefore reject the null hypothesis or the claim

So we conclude that the data does not provide sufficient evidence to support the claim that 20% of plants are infected.

To learn more about claims and hypothesis test; click here:

https://brainly.com/question/17134633

#SPJ4

SOMEONE HELP ASAP!!

The figure above shows a Ferris wheel with radius 5 meters as Jalen, whose eye level is at point (0,2), watches his friend, Ashanti, ride in one of the cars as the wheel turns. Let Z denote the distance from Jalen to Ashanti’s car.The diagram indicates the center of the Ferris wheel at the point (12,7) and the position of Ashanti’s car at the point (x,y). If x and y are functions of time t, in seconds, what is the rate of change of Z when x=15, y=11, and dxdt=1 ? (The equation of a circle with radius r and center (h,k) is (x−h)2+(y−k)2=r2.)

Answers

9514 1404 393

Answer:

  (c)  dZ/dt = 11/√544, so moving away at about 0.47 m/s

Step-by-step explanation:

The (x, y) coordinates of the car are related by the fact that they are on a circle centered at (12, 7) with a radius of 5. Then their rates of change are related by the derivative of the circle equation with respect to time.

  (x -12)^2 + (y -7)^2 = 25

  2(x -12)x' +2(y -7)y' = 0

  y' = -(x -12)/(y -7)x'

At the time and point of interest, we have ...

  y' = -(15 -12)/(11 -7)(1) = -3/4

__

The distance (z) to the observer is given by the Pythagorean theorem:

  z^2 = (x -0)^2 +(y -2)^2

and its rate of change with time is ...

  2z·z' = 2(x-0)x' +2(y -2)y'

The distance d at the point of interest is ...

  z = √((15 -0)^2 +(11 -2)^2) = √(225 +81) = √306 = 3√34

So, the rate of change of distance to the observer at the time and point of interest is ...

  z' = (x(x') +(y -2)y')/z

  z' = ((15)(1) +(11-2)(-3/4))/(3√34) = (33/4)/(3√34)

  z' = 11/√544 ≈ 0.47 . . . m/s

SOMEONE HELP ASAP!!The figure above shows a Ferris wheel with radius 5 meters as Jalen, whose eye level
Other Questions
colsen communications is trying to estimate the first-year cash flow (at year 1) for a proposed project. the assets required for the project were fully depreciated at the time of purchase. the financial staff has collected the following information on the project: sales revenues $25 million operating costs 20 million interest expense 1 million the company has a 25% tax rate, and its wacc is 12%. write out your answers completely. for example, 13 million should be entered as 13,000,000. what is the project's operating cash flow for the first year (t Use similar triangles to calculate the height of triangle abc 10 cmB36 cmhAE20 cm Scientists studying rock layers classify the top layer as the most recent, followed by older layers that are uncovered as they digdeeper. Which law explains this method of relative dating?A. law of geologic continuityB. law of lateral continuityC. law of superpositionD. law of universal position In WXY, y = 99 cm, x = 93 cm and X=45. Find all possible values of Y, to the nearest degree. Try to complete the missing information for these three isotopes using only the data provided.Isotope #1. Element Symbol Nuclear Symbol: 7/3 Atomic Number. Mass Number. Protons Neutrons ElectronsIsotope #2. Element Symbol: P Nuclear Symbol. Atomic Number. Mass Number: 28 Protons Neutrons Electrons: 15Isotope #3 Element Symbol Nuclear Symbol. Atomic Number. Mass Number Protons: 3Neutrons: 3Electrons Organizational control involves the process and procedures thatregulate, guide, and protect organizations.True or false 19) y=-1/2x^2+8a=__ b=__ c=__1. Circle: Graph upwards/down wards2.Vertical Axis of Symmetry X=-b/2aX=__3. Vertex (plug in axis of symmetry): (__,__)4. Y-intercept (plug in 0): (0,_)5. X-intercepts (Solve by Square Rooting):X=__,__6. Graph the equation below: How to scrape ice off windshield without a scraper. Read this excerpt from Theodore Roosevelts "Duties of American Citizenship" speech:But this is aside from my subject, for what I wish to talk of is the attitude of the American citizen in civic life. It ought to be axiomatic in this country that every man must devote a reasonable share of his time to doing his duty in the Political life of the community. No man has a right to shirk his political duties under whatever plea of pleasure or business; and while such shirking may be pardoned in those of small cleans it is entirely unpardonable in those among whom it is most commonin the people whose circumstances give them freedom in the struggle for life. In so far as the community grows to think rightly, it will likewise grow to regard the young man of means who shirks his duty to the State in time of peace as being only one degree worse than the man who thus shirks it in time of war. A great many of our men in business, or of our young men who are bent on enjoying life (as they have a perfect right to do if only they do not sacrifice other things to enjoyment), rather plume themselves upon being good citizens if they even vote; yet voting is the very least of their duties, Nothing worth gaining is ever gained without effort. You can no more have freedom without striving and suffering for it than you can win success as a banker or a lawyer without labor and effort, without self-denial in youth and the display of a ready and alert intelligence in middle age. The people who say that they have not time to attend to politics are simply saying that they are unfit to live in a free community.What does Theodore Roosevelt claim in the excerpt?A. All people have the right to enjoy life and shouldnt be forced to make sacrifices.B. All people should exercise their duty to vote and be good citizens.C. All people should dedicate a fair amount of their time to politics.D. All people who do not vote are unworthy to live in a free, democratic nation. Pythagoras how do we find it Banquo Macbeth Macduff Lady Macbeth Duncan Malcolm 1. Is a believer in the witches prophecies and too ambitious in having them come true. 2. The guilt-stricken character dies after going mad. 3. By killing Macbeth, he fulfills one of the witches prophecies. 4. According to the witches prophecies, his children will be kings. 5. The Prince of Cumberland and the rightful king of Scotland. 6. Praises Macbeth and expresses a desire to visit Inverness Mary wrote an essay on important speeches given by candidates during the 2000 presidential election. Which visual information would be best to add to her essay? a time line showing the dates of each speech a map showing which states had the most voters a document showing the full names of the candidates who ran in the election a graph highlighting changes in the number of people working as speech writers Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 121 ft? of fabric. What are the possible side lengths of the tablecloth? A. 11 ft x 11 ft B. 11 ft x 2 ft C. 60.5 ft x 2 ft D. 60.5 ft x 60.5 ft How did combat change in WWI as compared to previous wars? Check the devices that are external peripheral devices: in a bathroom, exposed non-current-carrying metal parts of fixed equipment supplied by or enclosing components that are likely to become energized shall be connected to an equipment grounding conductor if they are within ___ horizontal feet of a grounded surface or object. Can you strengthen your abdominal muscles by doing crunches or curls? 3-4 sentences What are some most critical health concerns that we face in 21st century and why? The communication tools a company uses to pursue its advertising and marketing objectives is often referred to as the companys ________. A company expects profits of $30,000 per year for the next 10 years. If the profits will be continuously invested in an account bearing 4.6% APR compounded continuously, what is the ten-year future value of this income stream