Can someone help me thanks

Answer:

280 hours

Step-by-step explanation:

The velocity of the boat when it reaches the buoy is approximately 17.32 m/s. This is found using the equation v² = u² + 2as, where u is the initial velocity, a is the acceleration, and s is the displacement.

To solve this problem, we can use the equations of motion. The initial velocity of the boat, u, is 30 m/s, the acceleration, a, is -3.0 m/s² (negative because the boat is slowing down), and the displacement, s, is 100 m. We need to find the final velocity, v, when the boat reaches the buoy.

We can use the equation: v² = u² + 2as

Substituting the given values, we have:

v² = (30 m/s)² + 2(-3.0 m/s²)(100 m)

v² = 900 m²/s² - 600 m²/s²

v² = 300 m²/s²

Taking the square root of both sides, we find:

v = √300 m/s

v ≈ 17.32 m/s

Therefore, the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

The problem provides the initial velocity, acceleration, and displacement of the boat. By applying the equation v² = u² + 2as, we can find the final velocity of the boat. This equation is derived from the kinematic equations of motion. The equation relates the initial velocity (u), final velocity (v), acceleration (a), and displacement (s) of an object moving with uniform acceleration.

In this case, the boat is decelerating with a constant acceleration of -3.0 m/s². By substituting the given values into the equation and solving for v, we find that the velocity of the boat when it reaches the buoy is approximately 17.32 m/s.

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Answer:

it's c

Step-by-step explanation:

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things. In daily speech, a line segment with two points designating its endpoints is also referred to as a line.

The line is shown below.

The line PS can be represented by the other names will be PQ, RQ, RS, PR, RS, and PS.

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Answer:

(4-3x)×6-2+7

Step-by-step explanation:

I think this is right

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

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Answer:

C; Circle

Step-by-step explanation:

In this question, we are interested in giving a term to the locus of points which are at a certain distance from a fixed point.

The correct answer to this is a circle.

From the question, we can picture a situation which we have the point (1,2) as the center of the circle. This point serve the starting point in which all other points which are exactly 6 units away are plotted.

Thus, from this center point, we can mark off several points around the center point. By tracing the marked points from these center, we can obtain a circular path which when traced completely will give us the identity of a circle, where these points represent the line bounding the circle which is referred to the circumference of the particular circle in question.

Further more, from the definition of the radius of a circle, it is the distance from the center of a circle to the circumference. While the point (1,2) represents the center of the circle in question, the distance 6 units stand for the radius of the circle.

Answer:

circle

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

I added a photo of my solution

Answer:

The system has one solution: (0, 4).

Answer:

d

Step-by-step explanation:

t+2>3

t>1 (subtraction POE)

all solutions given are answers:

7>1

4>1

8>1

Answer:

a.

Step-by-step explanation:

By definition, the constant of proportionality is a constant ratio of two variables that are proportional. So the answer is a . The constant ratio of one variable quantity to another to which it is proportional (or the Unit Rate).

We need to find the area of the hallway. To find the area of a rectangle, simply multiply the length and width together.

6ft * 18ft = 108^ft

Now, let's find the area of the square tiles. To find the area of a square, simply square one side.

(2/3ft)^2 = 4/9ft^2

To find out how many square tiles are necessary to tile the hallway, lets divide the area of the hallway by the area of one square.

108ft^2 / (4/9ft^2) = 243 tiles

Answer:

200 in^2

Step-by-step explanation:

If it only asking the area in yellow, then it is consisted of two squares, for each square, it is 10in * 10 in for area, so for two squares, the area will be 2*10*10 = 200 in^2.

The value of x is 17

The congruent arcs are (b) PQ and SR

The radius is 12 units

The value of PQ is 4

The length YZ is 19 units

In this question, we make use of the property of congruent sides

So, we have

3x - 24 = x + 10

When evaluated, we have

2x = 34

Divide by 2

x = 17

By the definition of congruent arcs, congruent arcs are arcs that have equal measures

In this figure, the congruent arcs are PQ and SR i.e. (b) PQ and SR

The radius of the circle is calculated as

r² = (25 + r)² - 35²

When expanded, we have

r² = 625 + 50r + r² - 1225

So, we have

50r = 600

Divide both sides by 50

r = 12

In this question, we make use of the property of congruent sides

So, we have

PQ = SR

Where

SR = 4

When evaluated, we have

PQ = 4

The length of YZ in the circle is calculated as

YZ² = (9 + 8)² + 8²

So, we have

YZ² = 17² + 8²

When expanded, we have

YZ² = 289 + 64

So, we have

YZ² = 353

Take the square root of both sides

YZ = 19

Hence, the length YZ is 19 units

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Answer:

yes it  

Step-by-step explanation:

1/2y=1

y=1 x 2 (because e do to multiply the one by 2/1 to get y alone)

y=2 ( if y is always equal to two there is no variation meaning it is linear)

The common denominator for the given expressions is 18a^3b^5. The first radical expression needs to be multiplied by 3a^2b^2 over 3a^2b^2, and the second radical expression needs to be multiplied by 3ab^2 over 3ab^2.

To find the common denominator, we need to identify the factors present in both denominators. In this case, the common factors are 6, a, b^5, and 18. However, we need to consider the highest power of each factor to ensure that the common denominator includes all the necessary terms. Hence, the common denominator is 18a^3b^5.

To adjust the first radical expression, 15b over 6ab^5, to have the common denominator, we need to multiply both the numerator and denominator by the missing factors. Therefore, we multiply it by 3a^2b^2 over 3a^2b^2. This ensures that the expression's value does not change, as multiplying by 1 (in this case, represented by the fraction 3a^2b^2 over 3a^2b^2) does not alter the value of the expression.

Similarly, to adjust the second radical expression, 7ab over 18a^3b^3, to have the common denominator, we need to multiply both the numerator and denominator by the missing factors. We multiply it by 3ab^2 over 3ab^2.

By multiplying each expression by the appropriate factors, we ensure that they have the common denominator and can be added together.

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f(x) is concave down on the interval -5 ≤ x ≤ -6 and 0 ≤ x ≤ 6.

f(x) is concave up on the interval -6 ≤ x ≤ 0.

To determine where f(x) is concave up or concave down, we need to calculate the second derivative of f(x):

f(x) = x √(\(x^2\) + 36)

f'(x) = √\(x^2\) + 36) + \(x^2\) √(\(x^2\) + 36)

f''(x) = (x (\(x^2\) +72) )/((\(x^2\)+36)\(^(3\)/2))

To find where f(x) is concave up or concave down, we need to find where f''(x) > 0 (concave up) or f''(x) < 0 (concave down).

f''(x) = 0 when x = 0 or x = +/-6.

Thus, f(x) is concave down on the interval -5 ≤ x ≤ -6 and 0 ≤ x ≤ 6, and concave up on the interval -6 ≤ x ≤ 0.

The inflection point for this function is at x = 0.

To find the minimum and maximum for this function, we need to look at the endpoints and critical points of the interval -5 ≤ x ≤ 6.

f(-5) = -5√61 and f(6) = 6√72, so the minimum occurs at x = -5 and the maximum occurs at x = 6.

Therefore:

f(x) is concave down on the interval -5 ≤ x ≤ -6 and 0 ≤ x ≤ 6.

f(x) is concave up on the interval -6 ≤ x ≤ 0.

The inflection point for this function is at x = 0.

The minimum for this function occurs at x = -5.

The maximum for this function occurs at x = 6.

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FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

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As a NASA software engineer, I have been tasked with sorting data received from a Mars probe.  My objective is to sort the data based on temperature, with ties in temperature sorted by time.

To sort the data received from the Mars probe, I will employ an algorithm that combines both temperature and time as sorting criteria. First, I will iterate through the dataset and create a list of tuples, each containing the time and temperature values for a specific data point. This will allow me to maintain the association between time and temperature during the sorting process.

Next, I will implement a sorting algorithm that takes into account both temperature and time. I will utilize a stable sorting algorithm, such as merge sort, to ensure that ties in temperature are sorted based on the original order of the data points. This means that if two or more data points have the same temperature, they will be sorted according to their original time order.

By using this approach, I can effectively sort the data based on temperature, while preserving the original time ordering for ties. This sorted dataset will enable further analysis and interpretation of the Mars probe's temperature measurements, potentially revealing valuable insights about the Martian environment over time.

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Using probability,

a) 61/100

b) 61/210

c) 305/536

The probability formula can be used to calculate the likelihood of an event by simply dividing the favourable number of possibilities by the total number of options.

The likelihood of an event occurring can range from 0 to 1, as there can never be more favourable outcomes than there are potential outcomes. Because of this, the percentage of effective outcomes cannot be 0.

Here in the question,

It has asked to find probability that a randomly selected person did not have a child under 18 years old, given that they said no is:

P = 305/500

= 61/100

It is asked to find probability that a randomly selected person said No, given that the person did not have a child under 18 years old is:

P = 305/1050

= 61/210

It is asked to find probability that a randomly selected person from the group did not have a child under 18 years old and said no is:

P = 305/536

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We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

Remember the relation:

Distance = Speed*Time.

Here the total distance of the trip is 55mi + 50mi = 105mi

And the total time is 5 hours and 15 minutes, remember that:

60 min = 1 hour

Then; 15 min = 0.25 hours.

So the total time is 5.25 hours, with that we conclude that the average speed is:

S = 105mi/5.25 h = 20 mi/h

The first trip is 55 miles long, then the time in which it is travelled is:

T = (55 mi)/(20 mi/h) = 2.75 hours

The second trip is 50 miles long, then:

T' = (50mi)/(20 mi/h) = 2.5 hours.

We conclude that the frist trip takes 2.75 hours and the second one 2.5 hours.

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Answer:

-119

Step-by-step explanation:

(5-4x3)(5+4x3)

=> 5² - (4x3)²                        [Identity: (a+b)(a-b) = a² - b²]

=> 25 - 12²

=> 25 - 144

=> -119

Using the polynomial Identity, the solution of the expression will be; -119

They are mathematical expressions of involve nonnegatives raised with nonnegative integers that coefficients(constants that are in multiplication with those variables) and constants with only operations of addition, nonnegative exponentiation of variables involved.

We have given the expression as;

(5 - 4 x 3)(5 +4 x 3)

5² - (4 x 3)²                        

Using the Identity: (a+b)(a-b) = a² - b²

5² - (4 x 3)² = 25 - 12²

= 25 - 144

= -119

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Answer:

What must be true is that the three angles must be equal to one another

Step-by-step explanation:

Here, we want to know what must be true of the three angles if the pieces must be parallel

What must be true of the angles is that they must be corresponding to each other

If they are corresponding, that means the angles are congruent

Given that they are congruent, it simply means that they are all equal to each other

Dilation involves changing the size of a polygon.

The true statement is: b. If a is between 0 and 1, the image of the polygon is smaller than the polygon.

The dilation rule is given as:

\((\)\(x,y)\)⇒\((ax,ay)\)

The size of the image, depends on the value of a.

If a is above 1, the image of the polygon will be bigger

If a is between 0 and 1, the image of the polygon will be smaller

If a is 1, the polygons will be congruent

Hence, the true statement is (b)

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"If you see someone without a smile, then give them one of yours!"

quote by - FieryAnswererGT

So you should always keep MANY smiles so that you can share them too!

Thanks!

:D

So, the correct answer is (d) 150 mi.

To find out how far Greg drove, you need to multiply the speed of his car (50 mph) by the amount of time he spent driving (212 hours).

Speed = Distance/Time

Distance = Speed * Time

Distance = 50 * 212

Distance = 10600 miles

So, Greg drove 10600 miles.

It's important to note that the question is asking for the answer in miles and not kilometers.

To convert meters to miles, you can use the conversion factor 1 mile = 1609.344 meters.

To convert a measurement in meters to miles, you can multiply the number of meters by the conversion factor.

For example, if you want to convert 1000 meters to miles, you would multiply 1000 by the conversion factor of 1/1609.344 which is approximately 0.000621371.

1000 meters = 0.000621371 miles

So, the correct answer is (d) 150 mi.

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Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

-53

Step-by-step explanation:

Answer:c

Step-by-step explanation:

math

when sample size increases, everything else remaining the same, the width of a confidence interval decreases.

The sample size is defined as the the number of observations or participants included in a study.

The confidence interval is defined as the mean of the estimate plus and minus the variation in that estimate. That means when you do the test multiple times, then the value may be vary from the estimated value. The confidence interval is the range of those values.

So when the sample size increases the width of the confidence interval decreases

Hence, when sample size increases, everything else remaining the same, the width of a confidence interval decreases.

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In space, there can be infinitely many planes that are perpendicular to a given line at a given point on that line.

The correct answer is Option D.

The key concept here is that a plane is defined by having at least three non-collinear points.

When a line is given, we can choose any two points on that line, and then construct a plane that contains both the line and those two points. By doing so, we ensure that the plane is perpendicular to the given line at the chosen point.

Since we can select an infinite number of points on the given line, we can construct an infinite number of planes that are perpendicular to the line at various points.

Thus, the correct answer is D. infinitely many planes can be perpendicular to a given line at a given point in space.

The correct answer is Option D.

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