Two planes just took off from St. Louis, MO. The first plane is traveling 3.5 times as fast as the second plane. After Traveling in the same direction for 9.5 hours they are 2375 miles apart What is the average speed of each plane? (Hint Since they are traveling in the same direction, the distance between them will be the difference of their distances.)​

Answers

Answer 1

Answer:

Speed of first plane is  350 miles per hour

Speed of second plane is 100 miles per hour

Step-by-step explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour


Related Questions

The cosine of a 30 degree angle is equal to the sine of a

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Hey I did get the wrong number for you to get the wrong number and I got a message for 35 dehumidifier

10. What value of x and y will make the polygon a
parallelogram?

Answers

Answer:

Step-by-step explanation:

20 = 5y

4=y

x+3y = 2(x+y-1)

x+3y = 2x +2y -2

x+3(4) = 2x + 2(4) -2

x +12 = 2x +8 -2

12-8+2 = 2x -x

6 =x

The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal, and opposite angles equal.

Given is a polygon,

We know opposite sides of a parallelogram are equal,

Therefore,

5y = 20

y = 20/5

y = 4

And,

Putting y = 4, in x+3y = 2(x+y-1)

x+12 = 2(x+3)

x+12 = 2x+6

x = 12-6

x = 6

Hence, The values of x and y that makes the polygon a parallelogram is 6 and 4 respectively.

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Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.

Answers

The answer is c

A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.


Help me pls. You will get a lot of points

Answers

Answer:

2y = 7

y = 3 1/2

Step-by-step explanation:

What is the r-value of the following data, to three decimal places?
х
у
4
26
5
11
8
13
9
2
13
1

Answers

Answer:

The answer is -0.828

Step-by-step explanation:

I took the quiz and i gt this question correct, hope it helps!

The r-value of the given data is 0.374.

What is a correlation coefficient?

The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.

It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.

We have,

First, we need to find the correlation coefficient (r) of the given data.

We can use the following formula to do this:

r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]

where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.

Using the given data, we can calculate the values as follows:

n = 5

∑x = 39

∑y = 53

∑(xy) = 442

∑x^2 = 483

∑y^2 = 1249

Substituting these values into the formula, we get:

r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]

r = [2210 - 2067] / [√(2415) √(5660)]

r = 143 / (61.898 75.245)

r = 0.374 (rounded to three decimal places)

Therefore,

The r-value of the given data is 0.374.

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Asa has 4 pairs of shoes, 5 pairs of pants, and 4 shirts which can be worn in any combination. he need to choose an outfit to wear to his friends birthday party. how many different combinations consisting of one item in each category are possible?

A.9
B.13
C.20
D.40
E.80

Answers

Answer:

E

Step-by-step explanation:

In circle D with mZCDE = 112 and CD = 9 units, find the length of arc CE.
Round to the nearest hundredth.

Answers

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

May someone help me pls. I’m not to good at geometry

Answers

Answer:it’s A

Step-by-step explanation: it is tangent because it is adjacent side and opposite. the equation is 50°tan90

Answer:

A: 50°tan 90

Step-by-step explanation:

It is tangent because it is adjacent side and opposite the equation is 50°tan 90

I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.

Answers

Answer: 8

Area of a triangle=(1/2)bh
16=(1/2)4x
16=2x
x=8

Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.

Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?

Answers

Answer:

V>_8

Step-by-step explanation:

20+2.5v >_ 40

The number of visits Nolan can make to earn his first free movie ticket is 8.

How many visits before Nolan wins a free movie ticket?

The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.

Where x represents the number of visits to the movie theater.

In order to determine the value of x, take the following steps combine similar terms

2.5x  ≥40 - 20

Add similar terms

2.5x  ≥ 20

Divide both sides by 2.5

x  ≥ 8

To learn more about inequality, please check: https://brainly.com/question/5031619

.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01, and 1.03 centimeters. Find a 99% confidence interval for the mean diameter of pieces from this machine, assuming an approximately normal distribution.

Answers

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Simplify using the product rule.
a^4 x a^3

Answers

Answer:  the answer to the question is a7x

Step-by-step explanation:

What value of x would make lines land m parallel? ​

Answers

Answer:

[tex]x = 75[/tex]

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:

[tex]\angle CAB=50[/tex]

[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:

[tex]\angle ABC = 55[/tex]

This means that:

[tex]\angle ABC + \angle CAB + x = 180[/tex]

[tex]50 +55 + x = 180[/tex]

Solve for x

[tex]x = 180 - 50 - 55[/tex]

[tex]x = 75[/tex]

Dominic has 1 1/2 cups of yogurt to make smoothies. Each smoothie uses cup
1 1/2 of
yogurt. How many smoothies can Dominic make with the yogurt?

Answers

Answer:

Dominic can only make one smoothie considering he only has one full cup of yogurt.

Step-by-step explanation:

1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)

what is the measure of angle KIT?

Answers

Answer:

80°

Step-by-step explanation:

In rhombus, opposite angles are equal. i.e <KET = <KIT

Triangle KET is isoceles, which means both parts of angle E are equal.

Angle E = 40 + 40

Angle E = 80

If angle E is 80 than Angle I is also 80.

please explain why. In a competition of 50 professional ballroom dancers, 22 compete in the fox-trot competition, 18 compete in the tango competition, and 6 compete in both the fox-trot and tango competitions. How many dancers compete in the fox-trot or tango competitions?

Answers

Answer: 34 of them do

Step-by-step explanation: It says that 22 of them compete in the fox-trot and then it says 18 compete in the tango and then at the end it says that 6 compete in both. Based on what that said I can confirm that it's 36 because  the question they want us to answer is only the ones who do fox-trot or tango not both

Hope this helps :)

Answer:

22+18-6=34

Step-by-step explanation:

Let's call F the set of dancers who dance fox-trot (not necessarily just that, they may also dance something else, what's important is that, amongst other things, they also dance fox-trot), and T the set of dancers who dance tango.

We know that F has 22 elements, T has 18, and the intersection of sets F and T (e. g. those who dance both tango and fox trot) has 6 ones.

Now, let's take a further look at how those sets are made up.

Let's take set F, for example. In it, there is some number of dancers who dance only fox trot, and some others who dance both fox trot and tango.

Similarly, set T is made up of those who dance only tango and those who dance both fix trot and tango.

Therefore, if we were to add those sets together, we would get the number of those who only dance tango, plus the number of those who only dance fox trot, plus two times the number of those who dance both.

We can make up for that, and get the desired result, by subtracting the union of sets F and T from their sum.

Hope this was a clear explanation :)

If m∠P = (19x - 5)° and x = 4, find m∠P and classify the angle (acute, right, obtuse, straight).

Answers

Answer:

71 degrees, Acute angle

Step-by-step explanation:

From the question, the equation for the Angle is given to be 19x-5, given in degrees and they want to find the value of the angle when the variable X is equal to 4.

All we need to do is change X with 4 in this equation to get

(19x4)-5) Now we just need to do some basic arithmetic to find out the value.

(76-5)=71, So 71 degrees. Now let's classify all the types of angles

1-89 degrees is a acute angle

90 degrees Is a right angle

91-179 is a obtuse angle

180 is a Straight angle

181-359 is a reflex angle

360 is a full turn.

Notice how our 71 degree angle falls into the category of a acute angle (1-89)

So our final Answer is that the angle is 71 degrees and a acute angle.

Answer:

∠ P = 71° and is acute

Step-by-step explanation:

Acute angle is between 0° and 90°

Right angle = 90°

Obtuse angle is between 90° and 180°

Straight angle = 180°

Given

∠ P = 19x - 5 ← substitute x = 4

      = 19(4) - 5 = 76 - 5 = 71° ← acute angle

Please help me I need help with this as quick as possible my dad is right next to me...

Answers

Answer:

there isnt a question... what do you need help with?

Answer:

.-. >_>

Step-by-step explanation:

11
5. What is the volume of a cuboid that is 8cm long, 4cm
wide and 3cm high.​

Answers

Answer:

Volume = 96 cm³

Step-by-step explanation:

Length (L) = 8cm

Breadth (B) = 4cm

Height (H) = 3cm

........................................

Volume = L × B × H

= 8 × 4 × 3

= 96cm³

HELP THIS IS DUE AT 1:30
Focus Question. (Respond to the following prompt in three to five sentences please.)

Describe the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty?

Answers

Answer:

The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era.  Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.

The famous white and blue porcelain of China originated in the era of the Ming Dynasty.

Step-by-step explanation:

The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.

What is Ming dynasty?

In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.

Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:

Ming dynasty art was distinguished by a return to traditional Chinese painting techniques as well as a focus on naturalistic and realistic depictions of the world.Confucianism was the dominant philosophy during the Ming dynasty, and it played an important role in shaping society and culture.Literature: During the Ming dynasty, vernacular Chinese literature developed, which was more accessible to common people than classical Chinese language.The Ming dynasty is known for its magnificent architecture, which includes the Great Wall of China, the Forbidden City, and the Temple of Heaven.

Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.

For more details regarding Ming Dynasty, visit:

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Need answer asap, will give brainliest

Answers

Answer:

35

Step-by-step explanation:

In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.

Answers

Answer: 44

Step-by-step explanation:

180-68-68 = 44

If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?

Answers

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5

PLEASE HELP

Jolie manages an annual film festival in her town. Every year, one movie from every genre is chosen as a finalist to win best film. The following double bar graph represents the votes each film received by adults and children. Answer the following questions based on the data in this bar graph.

⦁ What percentage of children voted for the Action movie? Show your work. Round to the nearest percent if needed.
⦁ Which movie received 20% of the total votes? Show your work.

Answers

Answer:

• 25%

• Drama movie

Step-by-step explanation:

• Total number of children

= 16 +12 +18 +20 +14

= 80

Percentage of children that voted for action movie

[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]

[tex] = \frac{20}{80} \times 100\%[/tex]

[tex] =\textbf{25\%}[/tex]

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

• Total number of votes

= 30 +32 +36 +36 +26

= 160

20% of total votes

= 20% ×160

= 32 votes

Since Drama movie received 32 votes, it received 20% of the total votes.

answer the question!!!!!!!!!!!!!!

Answers

Answer:

Im not sure im sorry if i got it wrong but my guess is 1234 :/

Step-by-step explanation:

Answer:

4132

Step-by-step explanation:

1).4,132 (four thousand one hundred thirty-two) is an even four-digits composite number

2). 4 + 1 + 3 + 2 = 10

3). each number is greater than 0

4). 4+1= 5 3+2= 5

5). 4 is the gretes number in 4132

A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than 50.03 N. A large sample of fibers from this shipment was tested, and a 98% lower confidence bound for the mean breaking strength was computed to be 50.1 N. Someone suggests using these data to test the hypotheses H0 : μ ≤ 50.03 versus H1 : μ > 50.03. Is it possible to determine from the confidence bound whether P < 0.01? Explain.

Answers

Answer:

NO it is not possible

Step-by-step explanation:

It is  not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we  know that p value < 0.03 but  P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01

find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%​

Answers

Answer:

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7 trials

This means that [tex]n = 7[/tex]

The probability of success in any trial is 9%​?

So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]

Probability of at least 6 failures in 7 trials?

This is:

[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]

[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]

[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]

0.8746 = 87.46% probability of at least 6 failures in 7 trials.

Evaluate f(x) = 3x + 8 for x = 1.

-11
5
11
3

Answers

Answer:

11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

Answer:

The anwser is 11

Step-by-step explanation:

You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.


Helppp pleaseeeeeeweeeeeeee

Answers

Answer:

55°

Step-by-step explanation:

The angle is part of a 90° angle, so you do 90°-35° to get 55°.

Give branliest please. :)

Answer:

90 degrees - 35 degrees = x degrees, this will give you 55 degrees

help me please:(**********​

Answers

Answer:

11.7

Step-by-step explanation:

First HK can be found via Pythagorean Theorem

6^2 + 10^2 = 36 + 100 = 136

The square root of 136 is (rounded to the nearest tenth): 11.7

GJ is congruent to HK

GJ = 11.7

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