What information does the mode of a data set provide?

Answers

Answer 1

Answer:

The frequency of a number

Step-by-step explanation:

The mode in a data set provides how frequent a number in a data set appears.

For example, take the following data set:

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

The mode of this data set would be 3.

This is because 3 is repeated more frequently in the data set than any other number.

1, 2, 2, 3, 3, 3, 3, 4, 5, 6, 7, 7, 8, 8, 8, 9, 10

I hope this helps!


Related Questions

A turkey costs $12.75. You have 10$. How many much more do you need ?

Answers

Answer:

$2.75

Step-by-step explanation:

I hope this helps you

You need an additional $2.75 to purchase the turkey. In the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.

To determine how much more money is needed to purchase the turkey, you need to subtract the amount of money you have from the cost of the turkey. Since the turkey costs $12.75 and you have $10, you simply calculate $12.75 - $10.00 which equals $2.75. Therefore, you need an additional $2.75 to buy the turkey.

Let's now look at a similar problem. If a bat and ball cost $1.10 in total and the bat costs $1.00 more than the ball, we can set up the equation to find the price of the ball. Let x be the cost of the ball in dollars. Then the bat would cost x + $1.00. Since together they cost $1.10, the equation would be:
x + (x + $1.00) = $1.10.

Solving for x gives:
2x + $1.00 = $1.10
2x = $1.10 - $1.00
2x = $0.10
x = $0.10 / 2
x = $0.05.

So, the ball costs $0.05 and the bat costs $1.05, which is $1.00 more than the ball.

Need help please brainliest and 50 points

Answers

The slope is 2/-2, so -1. The y-intercept is 2. So, y=-x+2

which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x

Answers

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

[tex]\csc(x) = \dfrac{1}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

[tex]\sec(x) = \dfrac{1}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\tan(x) = \dfrac{\sin(x)}{\cos(x)}[/tex]

which is undefined at

[tex]\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}[/tex]

[tex]\cot(x) = \dfrac{\cos(x)}{\sin(x)}[/tex]

which is undefined at

[tex]\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}[/tex]

In Amy’s backyard, there are also chickens and rabbits. There are 5 more chickens than rabbits. The total number of legs is 130. How many rabbits and how many chickens?

Answers

Answer:

There are 25 chickens and 20 rabbits

Step-by-step explanation:

Let

x-----> the number of chickens

y ----> the number of rabbits

Remember that

1 chicken has two legs

1 rabbit has four legs

so

2x+4y=130 -------> equation A

x=y+5 -----> equation B

Substitute equation B in equation A and solve for y

2(y+5)+4y=130

2y+10+4y=130

6y=120

y=20 rabbits

Find the value of x

x=y+5

x=20+5=25 chickens

Answer:

20 rabbits .    25 chickens

Step-by-step explanation:

I know where u got them from

Heeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

C &A

Step-by-step explanation:

Just by analyzing the problem you can match up the answers

Solve the problem in your head and the closest answer to that is the answer

Answer:

B and D are equivalent to -3.75+2(-4x+6.1)-3.25x

Step-by-step explanation:

The initial equation is -11.25x+8.45

A is equivalent to 5x+8.1

B is equivalent to 8.45-11.25x

C is equivalent to -7.25x+4.35

D is equivalent to -11.25x+8.45

Hope this helps! Please mark as brainliest!! <3

Don’t understand this question pllsss helppp

Answers

Answer:

A. -50

Step-by-step explanation:

The question is asking you to find the Y point as they gave you the X.

(0,-50). -50 on the y-axis explains the x of 0. If you though it was 14 or -6, it is not because they have the x of -6 and the y of 0.

Answer:

C. 14

Step-by-step explanation:

The given graph represents a polynomial function r(x).

We want to find an x-value that satisfies

r(x)=0.

The solution to the function whose graph is shown are the x-intercepts of the graph.

We can read from the graph that, the x-intercepts are;

[tex]-6[/tex] and [tex]14[/tex].

Hence the solutions are x=-6 and x=14.

From the given options a solution to r(x) is 14.

The correct choice is C

Find the area of the Diameter 5 minutes

Answers

Answer:

A= 19,63 units.

Step-by-step explanation:

The area of a circle is given by π r^2. Where "r" represents de radius.

In this case we know that de diameter is 5 units. Given that the radius is half of the diameter, then r=5/2 = 2.5 units.

Then the area of a circle is:

A= π r^2 = π (2.5 units)^2 = 19,63 units.

Omari is dividing 5 by 6. If he continues the process, what will keep repeating in the quotient?

Answers

Answer:

0.833333333333

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Dividing 5 by 6 not possible, add zero to to 5 to make it 50

so your quotient becomes 0. 8, you then multiply 8 by 6, it gives 48, you subtract 48 from 50, then you get 2 add zero at th back of 2, to make it 20.

Divide 20 by 6 again, then you will get 3, your quotient becomes 0.83, multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2, add 0 at the back of 2 to make it 20.

Divide 20 by 6, you will get 3, your quotient becomes 0.833. Multiply 3 by 6, you will get 18, subtract 18 from 20, you will get 2.

Add zero add the back of 2 to make it 20 and repeat the process.

You will keep getting 3

The Serenity and the Mystic are sail boats. The Serenity and the Mystic start at the same point and travel away from each other in opposite directions. The Serenity travels at 14 mph and the Mystic travels at 18 mph. How far apart will they be in 3 hours?

Answers

what you do is you take one of them and multiply their speed by however many hours

in this case

[tex]14 \times 3[/tex]

[tex]18 \times 3[/tex]

then add the product giving you the distance apart

Final answer:

The Serenity and The Mystic will be 96 miles apart after traveling in opposite directions for 3 hours with speeds of 14 mph and 18 mph, respectively.

Explanation:

The question involves calculating the distance between two moving objects, specifically sailboats, traveling in opposite directions. To find out how far apart they will be after a certain time, we use the concept of relative speed.

If The Serenity travels at 14 mph and The Mystic travels at 18 mph, their speeds add up when moving away from each other. Hence, the combined speed at which they are separating is:
(14 mph + 18 mph) = 32 mph.

To find out how far they will be apart in 3 hours:
Distance = Speed × Time
Therefore, Distance = 32 mph × 3 hours = 96 miles.

So, after 3 hours, The Serenity and The Mystic will be 96 miles apart.

What is the average rate of change of the function over the interval x = 0 to x = 8?

f(x)=3x+4
2x+7

Answers

Answer:

if f(x) = 3x+4, the rate of change is 4.

if f(x) = 2x+7, the rate of change is 2.

Step-by-step explanation:

We know that the average rate of change over the interval x=0 to x=8 is:

(f(x2) - f(x1))/x2-x1

Where:

x2 = 8

x1 = 0

if f(x) = 3x+4

so f(8)=3(8)+4 = 28

f(0)=3(0)+4 = 4

Then: (f(x2) - f(x1))/x2-x1 = (28 - 4)/8-0 = 24/8 = 3

On the other hand, if f(x) = 2x+7

f(8) = 2(8)+7 = 23

f(0) = 2(0)+7 = 7

Then: (f(x2) - f(x1))/x2-x1 = Then: 23 - 7/8-0 = 16/8 = 2

Jana has to solve a system of equations that contains an exponential function and a linear function. She decides to solve graphically and the graph she obtained is shown.

Is the complete solution shown? Why or why not?
A) Yes, since one of the equations is linear the two functions can only intersect once and the intersection point is shown.
B) Yes, since the slope of the line is not as great as the rate of change of the exponential the y-values will be greater and they will only intersect one time.
C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.
D) No, even though the line has a smaller rate of change initially than the exponential, eventually the exponential will have to have a smaller rate of change than the linear since they are the fastest growing functions. Given that there must be at least one more intersection point somewhere near y = -1.

Answers

Answer:

If this is USATestPrep the answer is C

Step-by-step explanation:

Answer:

Option C is right.

Step-by-step explanation:

Jana has to solve a system of equations that contains an exponential function and a linear function.

C) No, exponential functions are the fastest growing functions. Since this is decay, eventually the exponential will level out where as the line has a constant rate of change. Therefore the exponential will eventually have higher y-values than the line. There must be a second intersection point.

Exponential will eventually exceed all other functions as they are the fastest growing functions.

400 degree F is what in Centigrade

Answers

Answer:

400° F = 204.4° C

Step-by-step explanation:

We are given a temperature 400 degree in Fahrenheit and we are to convert in into a unit called Centigrade (also known as Celsius).

We know that 0 degree Centigrade is equal to 32 Fahrenheit so we will use the following formula to convert these units:

(32°F − 32) × 5/9 = 0°C

(400°F − 32) × 5/9 = 204.4° C

Final answer:

To convert 400 degrees Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Explanation:

To convert a temperature from Fahrenheit to Celsius, you can use the formula: C = (F - 32) * 5/9. To convert 400 degrees Fahrenheit to Celsius, you can substitute the value of F as 400 in the formula: C = (400 - 32) * 5/9 = 204.4. So, 400 degrees Fahrenheit is approximately equal to 204.4 degrees Celsius.

Determine the ordered pair that satisfies the equation, 7x-1y=8

Answers

Final answer:

The ordered pairs that satisfy the equation 7x - y = 8 include (1,-1) and (9/7, 1).

Explanation:

To find an ordered pair that satisfies the equation 7x - y = 8, we can choose a value for either x or y and then solve the equation for the other variable. For example, if we choose x = 1, we substitute this into the equation to find the corresponding y value: 7(1) - y = 8 which simplifies to y = -1. Thus, the ordered pair (1, -1) is a solution to the equation. Another solution could be found by choosing y = 1 and solving the equation for x: 7x - 1 = 8, which gives x = 9/7. Thus, the ordered pair (9/7,1) is also a solution to the equation.

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Final answer:

To determine the ordered pair that satisfies the equation, rearrange the equation to solve for y. Plug in different values for x to find corresponding values for y.

Explanation:

To determine the ordered pair that satisfies the equation 7x-1y=8, we need to solve for y.

Rearranging the equation, we get y=7x-8. This equation represents a linear relationship, where the value of y depends on the value of x.

By plugging in different values for x, we can find corresponding values for y.

For example, when x=0, y=(-8).

So the ordered pair that satisfies the equation is (0, -8).

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Please Help , Is It A,B,C Or D

Answers

Answer:

Im Gonna Have to Say B

Step-by-step explanation:

What is the value of u, v, w, x, and y?

Answers

Answer:  The required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

Step-by-step explanation:  We are given to find the values of u, v, w, x and y from the figure shown.

We see that

the lines AB and CD are parallel to each other and PS is a transversal.

So, we must have

[tex]u^\circ=140^\circ~~~~\textup{[alternate interior angles]}\\\\\Rightarrow u=140.[/tex]

Now, we also have

[tex]u^\circ=5v^\circ~~~~~\textup{[vertically opposite angles]}\\\\\Rightarrow u=5v\\\\\Rightarrow 140=5v\\\\\Rightarrow v=\dfrac{140}{5}\\\\\Rightarrow v=28.[/tex]

Now, from the property of linear pair, we get

[tex]u^\circ+x^\circ=180^\circ\\\\\Rightarrow u+x=180\\\\\rightarrow 140+x=180\\\\\Rightarrow x=180-140\\\\\Rightarrow x=40.[/tex]

Since angles of measure w° and x° are alternate interior angles, so

[tex]w^\circ=x^\circ=40^\circ\\\\\Rightarrow w=40.[/tex]

Again, by using the property of linear pair, we get

[tex]2y^\circ+140^\circ=180^\circ\\\\\Rightarrow 2y+140=180\\\\\Rightarrow 2y=40\\\\\Rightarrow y=\dfrac{40}{2}\\\\\Rightarrow y=20.[/tex]

Thus, the required values are

u = 140, v = 28, w = 40, x = 40 and y = 20.

My question is what is 10 + 54 over -6

Answers

Answer:

-11

Step-by-step explanation:

64\-6= -10.667 Hope this helps

I have a flower vase with a 6 " diameter and is 12 " tall I want to fill it 2/3 of the way full how many cubic inches will I fill? Do not round your answer.​

Answers

Answer:

[tex]72\pi\ in^{3}[/tex]

Step-by-step explanation:

step 1

Calculate the volume of the cylinder (flower vase)

The volume is equal to

[tex]V=\pi r^{2}h[/tex]

we have

[tex]r=6/2=3\ in[/tex] -----> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]V=\pi (3)^{2}(12)=108\pi\ in^{3}[/tex] ------> exact value

step 2

Calculate  2/3 of the volume

[tex]V=(2/3)108\pi=72\pi\ in^{3}[/tex]

Bret has a fish tank that holds 320 liquid ounces of water. On average, the water evaporates from the tank at a rate of 3.84 ounces per day. Bret went on vacation for 2 weeks, and asked a friend to feed his fish. The fish tank was full of water when Bret left. To the nearest hundredth, how many liquid ounces of water were left in the tank when Bret returned from his vacation?

Answers

Answer:

266.24

Step-by-step explanation:

y=320-3.84d

d represents number of days

320-3.84(14)

=320-53.76

=266.24

Answer:

266.24 ounces

Step-by-step explanation:

2 weeks = 7 x 2 = 14 days

Initial Amount = 320 ounce

Rate = 3.84 ounces/day

Amount of water left

= 320 - 3.84(14)

= 266.24 ounces

a number cube is rolled and a coin is tossed what is the probability that a number greater than four is rolled and the coin comes up heads

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

In probability, "AND" means "multiplication" and "OR" means "addition".

Here, we are looking for probability of number greater than 4 "AND" probability of heads

so we find the individual probabilities and "multiply".

There are 6 numbers in a cube and number greater than four are 5 & 6, so 2 numbers. Hence

Probability of number greater than 4 is  2/6 = 1/3

Now,

In coin there is only head and tail, so probability of coming up heads is 1/2

Now we multiply both:

1/3 * 1/2 = 1/6

Hence

probability that a number greater than four is rolled and the coin comes up heads is 1/6

6. Alex wants to buy a shirt that
costs $35.00.
• The store is having a 30%-off
sale.
• The sales tax for clothing is 6%.
How much will Alex pay for the
shirt?

Answers

Answer: 25.97

Explanation:

First you take 100-30=70

Then 70/100= 0.70

Multiply 0.70 by 35 give you 24.5

Than take 6% this time you will just divide by 100 so will be 6/100=0.06 how you are adding have put 1 in front that will result 1.06

Than take 24.5 multiply by 1.06 and get 25.97

Answer:

Hello, thank you for choosing Brainly to ask your question.

First, we have to find out what would 30% of 35 is.

To answer that, just use a common calculator or find out what 10% of it is and keep adding up.

So, 30 percent of 35 is 10.5.

Next, we have to find out what 6% of 24.50 is.

To find out the answer, you have to really use a calculator to find out. It would be way simpler and easier.

So, open your calculator. Then do "24.50 multiplied by 6%"

We are left with 1.47.

Now add 1.47 to 24.50. Your final answer is 25.97.

Have a good day and I hope I helped.:D

Which equation represents a proportional relationship? A) y = 3x 4 B) y = 3 4x C) y = 3x 4 + 1 D) y = 3 4x + 1

Answers

Answer:

A. y = 3x/4

Step-by-step explanation:

 a proportional relationship between x and y is a straight line passing through the origin (0, 0).

The equation must be in the form y = kx.

y = 3x/4

y = 3/4x

Answer:

y=3x/4

Step-by-step explanation:

How do you find the area of a circle by it's circumference and the circumference of a circle by it's area


20 points PLZZZ answer

Answers

Answer

A = C2 / (4 π) for the first question.  C = 2*π*square root of (A/π). for the second question.

Step-by-step explanation:

The area of a circle is given by the formula A = π r2, where A is the area and r is the radius. The circumference of a circle is C = 2 π r.

If we "solve for r" in the second equation, we have r = C / (2 π ). Now we use this to replace r in the first equation: A = π [ C / (2 π ) ]2.

When we simplify this, we get A = C2 / (4 π).

Now you can put your value of C into this equation and find A.

Final answer:

To find the area of a circle from its circumference, first find the radius using the circumference and then compute area. To find the circumference from the area, derive the radius from the area and then calculate the circumference.

Explanation:Finding the Area of a Circle from its Circumference

To find the area of a circle using its circumference, you first need to find the radius of the circle. The formula to find the radius from the circumference is r = C/(2π), where C is the circumference of the circle, r is the radius, and π is Pi, approximately 3.14159265. After finding the radius, use the formula for the area of a circle, A = πr², where A is the area.

Finding the Circumference of a Circle from its Area

Circumference of a circle can also be determined from its area. The radius can be found using the formula, r = sqrt(A/π), where A is the area of the circle. Once the radius is known, you can find the circumference by the formula, C = 2πr.

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Given: circle k(O)

m∠OFQ = 52°, m FQ = (5x+1)

Find: x

Answers

Answer:

x=15°

Step-by-step explanation:

step 1

Find the measure of arc QD

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠OFQ=(1/2)[arc QD]

substitute the given value

52°=(1/2)[arc QD]

104°=[arc QD]

arc QD=104°

step 2

Find the value of x

Remember that the diameter divide the circle into two equal parts

so

arc FQ+arc QD=180°

we have

arc QD=104°

arc FQ=(5x+1)°

substitute

(5x+1)°+104°=180°

5x=180°-105°

x=15°

Mrs. Montoro's class is participating in the Math Olympics. Each week of the quarter, a challenging math question is posted, and the students individually try to correctly answer the question. The results of the Math Olympics are shown in the dot plot below.

Which of the following statements describe the distribution in the dot plot?
(choose all that is correct)

1. The mean is 5 questions answered correctly
2. most students answered between 3 and 6 questions correctly
3. the median is 5 questions answered correctly
4. the median is 4.5 questions answered correctly
5. most students answered between 5 and 7 questions correctly
6. the mean is 4.5 questions answered correctly
7. the students answered between 1 and 9 questions correctly

Answers

Answer: The correct answers are 1, 2, 4, 7

Step-by-step explanation:

Work for each problem:

1.)  1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9  Median: 5 * 2 = 10 / 2 = 5

2.) Correct: The most answers were answered between the numbers 3 and 5.

3.) 1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 9 (add all) = 108 / 24= 4.5

Answer:

the correct answers are

2. most students answered between 3 and 6 questions correctly

3. the median is 5 questions answered correctly

6. the mean is 4.5 questions answered correctly

7. the students answered between 1 and 9 questions correctly

Step-by-step explanation:

for #2-the shape of the data, more than half of the data lies between #3 and #6..so Most students answered between 3 and 6 questions correctly.

for #7-the lowest # of questions answered correctly is 1 and the highest # of questions answered is 9; so it makes Students answered between 1 and 9 questions correctly

What is the value of x

Answers

Answer:

Step-by-step explanation:

30, the angle is worth 180 and 180-40=140. 140-20=120. 4*30=120

Answer:

x=30

Step-by-step explanation:

4x+20+40=180

4x+60=180

4x=180-60

4x=120

4x/4

120/4

=30

PLZZZZZ make me brainliest!!

Which ordered pair is not a solution of y=-12x-3?
A) (-3,33)
B) (8,-98)
C) (-9,105)
D) (3,-39)

Answers

Answer:

B. (8,-98

Step-by-step explanation:

because : x=8.....y=-12(8)-3 =-99

Find x and y. Please write your answer in simplified radical form.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{y}[/tex]

Multiply both sides by y

y × sin30° = 6 ( divide both sides by sin30° )

y = [tex]\frac{6}{sin30}[/tex] = [tex]\frac{6}{\frac{1}{2} }[/tex] = 12

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

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{y}[/tex]

Multiply both sides by y ( y = 12 )

12 × cos30° = x

x = 12 × [tex]\frac{\sqrt{3} }{2}[/tex] = 6[tex]\sqrt{3}[/tex]

From the sum of 5 – 9i and -4 + 7i, subtract 14 – 3i. A. -13 + i B. -13 – 5i C. 13 – i D. 13 + 5i E. 13 – 5i

Answers

Answer:

A because the sum of 5 - 9i and -4 + 7i is 1 - 2i. And if you subtract 14 - 3i out of that, then you get -13 + i.

HWKAGDAW WJQWIUHYEWLAHC AIUOLHAJLSIA

Answers

Answer:

BVLJFBGEJOOEUUUUUUUUVWRBTOUGNJWWHBH

Step-by-step explanation:

If the coordinates of the points D,E,F,G, and H are -3,-6,8,11 and 13 respectively which segment is the longest

Answers

Final answer:

To determine the longest segment, we calculate the distances between the given points using the distance formula. The longest segment is DE with a distance of approximately 21.43 meters.

Explanation:

To determine which segment is the longest, we need to find the distance between each pair of points. Using the distance formula, we can calculate the distance between points D and E, points E and F, points F and G, and points G and H. By comparing these distances, we can determine which segment is the longest.



D = sqrt((-3 - 8)^2 + (-6 - 11)^2) = sqrt(169 + 289) = sqrt(458) ≈ 21.43



E = sqrt((8 - 13)^2 + (11 - 13)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



F = sqrt((13 - 8)^2 + (13 - 11)^2) = sqrt(25 + 4) = sqrt(29) ≈ 5.39



G = sqrt((8 - -3)^2 + (11 - 13)^2) = sqrt(121 + 4) = sqrt(125) ≈ 11.18



H = sqrt((13 - -3)^2 + (13 - 11)^2) = sqrt(256 + 4) = sqrt(260) ≈ 16.12



The longest segment is DE with a distance of approximately 21.43 meters.

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Other Questions
When x increases from a to a + 2, y increases by a difference of 8.For which functions is this statement true?A)y = 2(4)xB)y = 2(8)xC)y = 4x + 2D)y = 8x + 2 4 divided by one half consider the sequence -3,7,17,27...which function (with domain all integers n>=1) could be used to define and continue the sequence.A f(n)= 10n-13B f(n)=-3n+10C f(n)=10n-3D f(n)=-3(n-1)+10 What was the overall impact of the new economic policy What is the value of x? When you compare the DNA of two closely related organisms, would you expect their DNA to be moresimilar or less similar than the DNA of two distantly related organisms? Suppose you are navigating a spacecraft far from other objects. The mass of the spacecraft is 2.6 104 kg (about 26 tons). The rocket engines are shut off, and you're coasting along with a constant velocity of km/s. As you pass the location km you briefly fire side thruster rockets, so that your spacecraft experiences a net force of N for 24.5 s. The ejected gases have a mass that is small compared to the mass of the spacecraft. You then continue coasting with the rocket engines turned off. Where are you an hour later? (Think about what approximations or simplifying assumptions you made in your analysis. Also think about the choice of system: what are the surroundings that exert external forces on your system?)\ Select Independent or Not independent for each situation.A jar contains twenty coins. Two coins are picked randomly without replacement.A coin is flipped three times.A bag contains 5 red balls and 3 green balls. A red ball is chosen followed by a green ball without replacement.A spinner contains 3 equal sectors labeled A, B and C. The spinner is spun twice. Phillip walks into a patient's room and lets out a big sigh and asks, "Is there anything you need?" The patient wanted a drink but responded," No, I guess not; I wouldn't want to bother you." What is the MOST likely reason that the patient responded in this manner?Phillip asked the patient in a threatening way.Phillip's words did not communicate that he was willing to get the patient something.Phillip's non-verbal communication made the patient feel like she was an inconvenience so she didn't ask.The patient must have seen something written in the chart that said she could not have water. In The Thrill of the Chase, what advice does Fenn give to help treasure seekers? Choose two options. 2Points A Do not search for the treasure more than 100 feet from a trail. B The treasure chest is hidden more than 300 miles west of Toledo, Ohio. C The treasure is buried a foot deep on a steep mountainside. D Do not believe anything you hear that is not in his poem or in his book. Which statement about Sen. Joseph McCarthy is true?A.he was awarded a special commendation by the Senate for his anti-communist crusade.B.He was a decorated war hero who shot down many enemy planes during world war IIC.He succeeded in rooting out hundreds of communist spies in the federal governmentD.His baseless accusations destroyed the lives and careers of many innocent people 90 POINTS!!??!!??!! HELP ASAP!! DUE TOMORROW!! WILL MARK AS. BRAINLIEST IF ANSWERED NOW!!!! Write a dystopian story that is about 2-3 paragraphs Which of the following is NOT a preposition? a. At b. By c. Through d. Do which obstacles to Economic Development do the smaller independent countries of Oceania face The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true? A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to express the equation without fractions or decimals. (2 points, 1 for work, 1 for equation) A race car was attempting to set a record the race car went 1000 feet in 4.5 seconds to the nearest Tenth what is the average speed of the race car Why is lily walking in the woods, counting how long it takes her to see a bird land in a tree? What changes in technology have occurred? Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y x + 1 and y + x 1? Part A Part B Part C Part D