A student is running a 3 km race he runs 1 km every two minutes. Select the function that describes distance from the finish line after X minutes

Inductive and deductive reasoning are two methods of reasoning that are used to arrive at a conclusion or solution.

Inductive reasoning is a method of reasoning in which the premises of an argument are used to reach a conclusion that is likely, but not necessarily certain. This type of reasoning is often used in scientific experiments and research, where observations and data are collected and used to form a general conclusion or theory. For example, if a person observes that all the birds they have seen so far are able to fly, they might conclude that all birds are able to fly.

Deductive reasoning, on the other hand, is a method of reasoning in which a conclusion is drawn based on the logical relationship between premises and rules that are assumed to be true. This type of reasoning is often used in mathematics, logic and computer programming. For example, if a person knows that all squares have four sides and that a particular shape has four sides, they can deduce that the shape is a square.

In summary, inductive reasoning relies on empirical evidence and observations to form a conclusion, while deductive reasoning uses logical inference and deductions based on assumed rules to arrive at a conclusion.

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The volume of the solid is 29.865 cubic units.

We have,

To find the volume of the solid generated by revolving region R around the line y = 6, we can use the method of cylindrical shells.

The volume of the solid can be obtained by integrating the area of each cylindrical shell.

Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line y = 6.

Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line y = 6 to the curve y = 2tan(\(x^5\)).

Since the shell is formed by revolving the strip around y = 6, the radius of the shell is given by r(x) = 6 - 2tan(\(x^5\)).

The height of each cylindrical shell is the difference in x-values between the curve y = 5 - x and the y-axis, which is given by h(x) = x.

The differential volume of each cylindrical shell is given by:

dV = 2π x r(x) x h(x) x dx.

To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is determined by the intersection of the curves y = 2tan(\(x^5\)) and y = 5 - x.

The volume V is given by the integral:

V = ∫[a,b] 2π x (6 - 2tan(\(x^5\))) x dx

Setting the two equations equal to each other, we have:

2tan(\(x^5\)) = 5 -x

Let's use numerical approximation to find the intersection points.

Using a numerical solver, we find that one intersection point is approximately x ≈ 1.051.

Now, we can set up the integral to find the volume of the solid:

V = ∫[a,b] 2π  (6 - 2tan(\(x^5\))) x dx

Since we are revolving around the line y = 6, the limits of integration will be from x = 0 to x = 1.051.

V = ∫[0,1.051] 2π  (6 - 2tan(\(x^5\))) x dx

The integral does not have an elementary antiderivative, so we cannot find the exact value of the integral.

However, we can still approximate the value using numerical methods or software.

Using numerical approximation methods, the volume is approximately V ≈ 29.865 cubic units.

Thus,

The volume of the solid is 29.865 cubic units.

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Answer:

In an arithmetic sequence, the difference between any two consecutive terms must always be the same number, which is known as the common difference.

So we just need to take different pairs of consecutive terms and see if their difference is always the same:

1) The differences are:

32 - 35 = -3

29 - 32 = -3

26 - 29 = -3

So yes, this is an arithmetic sequence and the common difference is -3

2) The differences are:

-23 - (-3) = -20

-43 - (-23) = -20

-63 - (-43) = -20

This is an arithmetic sequence, and the common difference is -20

3) The differences are:

-64 -(-34) = -30

-94 -(-64) = -30

-124 -(-94) = -30

This is an arithmetic sequence and the common difference is -30

4) The differences are:

-40 -(-30) = -10

-50 - (-40) = -10

-60 - (-50) = -10

This is an arithmetic sequence and the common difference is -10

5) The differences are:

-9 - (-7) = -2

-11 - (-9) = -2

-13 - (-11) = -2

This is an arithmetic sequence, and the common difference is -2

6) The differences are:

14 - 9 = 5

19 - 14 = 5

24 - 19 = 5

This is an arithmetic sequence, and the common difference is 5.

Answer:

3:1

Step-by-step explanation:

if 1/4 of the counters are black then it means the total counters are 4 and so there are 3 remaining and those become the green counters

The ratio of green to black counters is 3:1

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that A bag contains green and black counters, 1/4 of the counters are black.

Since, 1/4 is black counters therefore, 1 - 1/4 are green counters

So, there are 3/4 green counters

Ratio = (3/4)/(1/4) = 3/1  3:1

Hence, The ratio of green to black counters is 3:1

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a) The probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.

b) The probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.

The probability of drawing a specific card from a deck of 52 cards is 1/52.

a) To find the probability of having exactly 3 aces in a 7-card hand, we can use the binomial distribution:

P(exactly 3 aces) = (number of ways to choose 3 aces from 4 aces) * (number of ways to choose 4 non-aces from 48 non-aces) / (number of ways to choose 7 cards from 52 cards)

= (4C3 * 48C4) / 52C7

= (4 * 194580) / 133784560

= 0.005755

Therefore, the probability of having exactly 3 aces in a 7-card hand is approximately 0.0058.

b) To find the probability of having exactly 3 of a kind in a 7-card hand, we can use the following steps:

The total number of 7-card hands is 52C7 = 133,784,560.

Therefore, the probability of having exactly 3 of a kind in a 7-card hand is:

P(exactly 3 of a kind) = (13 * 4C3 * 12C4 * 4^4) / 133784560

= (13 * 4 * 495 * 256) / 133784560

= 0.02113

Therefore, the probability of having exactly 3 of a kind in a 7-card hand is approximately 0.0211.

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Answer:

Im pretty sure it's  D

Step-by-step explanation:

Srry if Im wrong.

Plz mark brainliest

The decimal expression for 9945/6444000 is 0.001543296...

To obtain it, follow this steps:

First, write both numbers in this arrangement:

Notice where the decimal point is placed.

Next, pick digits from the number 9945 from left to right until you have

that you

To match the equations in Column I with the correct first step for solving them in Column II, we need to identify the appropriate algebraic manipulation for each equation.

Equation (a) is 2x + 3 = 5. The correct first step for solving this equation is to subtract 3 from both sides to isolate the term with x, resulting in 2x = 2.

Equation (b) is √(x + 5) = 9. The correct first step for solving this equation is to square both sides of the equation, eliminating the square root, resulting in x + 5 = 81.

Equation (c) is (x + 5)^(5/2) = 32^(2/3). The correct first step for solving this equation is to raise both sides of the equation to the power 2/3, resulting in (x + 5)^(5/2)^(2/3) = 32.

Equation (d) is (x + 5)^(-6) = 0. The correct first step for solving this equation is to take the reciprocal of both sides, resulting in 1/(x + 5)^6 = 0.

Equation (e) is √(x(x + 5)) = -6. The correct first step for solving this equation is to square both sides of the equation, eliminating the square root, resulting in x(x + 5) = 36.

Matching the equations with their correct first steps:

(a) - Subtract 3 from both sides

(b) - Square both sides

(c) - Raise both sides to the power 2/3

(d) - Take the reciprocal of both sides

(e) - Square both sides

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Answer:

\(33+4i\)

*None of the answer choices are correct. It's most plausible that your teacher forgot to regard \(i=\sqrt{-1}\) and got \(\text{d. }9+4i\). I'd recommend choosing this answer and talking about it with your teacher later.

Step-by-step explanation:

Recall that \(i=\sqrt{-1}\).

Solving, we get:

\((3-2i)(7+6i),\\21-14i+18i-12(-1),\\21-14i+18i+12,\\\boxed{33+4i}\)

Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.

Answer:

16c + 4(c-5) = 220

Step-by-step explanation:

Answer:

m<1 = 69

m<2 = 37

m<3 = 106

m<4 = 21

Step-by-step explanation:

Answer:

a = 3 , b = - 2

Step-by-step explanation:

5a + b = 17 → (1)

3a + 2b = 5 → (2)

multiplying (1) by 2 and adding to (2) will eliminate b

10a + 2b = 34 → (3)

add (2) and (3) term by term to eliminate b

13a + 0 = 39

13a = 39 ( divide both sides by 13 )

a = 3

substitute a = 3 into either of the 2 equations and solve for b

substituting into (1)

5(3) + b = 17

15 - b = 17 ( subtract 15 from both sides )

- b = 2 ( multiply both sides by - 1 )

b = - 2

then solution is a = 3 , b = - 2

2x + 6 = x - 5

2x - x = -5 - 6

x = -11 ← the end

Answer:

the product of negative five times a number and the quantity four plus three times the number

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

The solution of this system is represented by the values of (x, y, z).

To solve the system of equations using a matrix inverse, we first need to find the inverse of the coefficient matrix, denoted as "A". Let's assume that "A" is a 3x3 matrix.

Find the determinant of matrix A:
  det(A) = ad - bc

Check if the determinant is non-zero. If det(A) ≠ 0, then A has an inverse.

Calculate the matrix of minors:
  M = |d   -b   a |
      |-f   e   -c|
      |i   -h   g |

Calculate the matrix of cofactors:
  C = |d   -b   a |
      |-f   e   -c|
      |i   -h   g |

Calculate the adjugate matrix:
  Adj(A) = C^T (transpose of C)

Find the inverse of A:
  A^-1 = (1/det(A)) * Adj(A)

Multiply the inverse matrix by the constant matrix:
  X = A^-1 * B
The solution of this system is represented by the values of (x, y, z).

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The spring stretched from 18 inches to 24 inches, producing a total of 12 joules of work.

The formula: gives the work done on a spring when it is stretched.

W = (1/2)kx²

where W is the amount of work completed, k is the spring's constant, and x is the spring's length change. We can use the equation to determine the spring constant:

F = kx

where F is the spring's applied force and x is the spring's altered length. Since we are aware that a spring with a natural length between 12 and 18 inches will be stretched by a force of 4 pounds, we can enter these numbers into the equation to determine k:

4 = k * (18 - 12)

4 = k * 6

k = 4/6

k = 2/3

Now that we know the spring constant, we can use the work formula to calculate the total amount of work required to extend a spring from 18 inches to 24 inches in length:

W = (1/2)kx²

W = (1/2)(2/3)(24 - 18)²

W = (1/2)(2/3)(6²)

W = (1/2)(2/3)(36)

W = (2/3)(18)

W = 12

So The spring stretched from 18 inches to 24 inches, producing a total of 12 joules of work.

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Answer:

4/35x5/16=1/7x1/4=1/28 the final answer is1/28

Answer:

hola le noeva si (true) neisa adios

Answer:

Diameter is the second option

Radius is the first option

Circumference is the third option

Area is the sixth option.

Step-by-step explanation:

Diameter is the distance between two circles from one end to another.

Radius is from the center to any part of the circle

To find cirumfrnce it’s diameter*π

To find area is πr^2 or in this case π*radius*radius

Answer: hmmm can we see the answer choices because I think I. Ight know the answer

Step-by-step explanation:

Answer:

blue

Step-by-step explanation:

More than more than likely he picks the blue one because the blue has two the five has yellow marbles the red marbles have three so more than likely he picked blue

Answer:

Im not too sure but it might be d?

Answer:

4/3

sorry if its wrong. i tried

Answer:

How many students had 3 or more absences?  Add together {45%, 21%, 23%} and subtract that sum from 100%:  11%.

How many students had two or more absences?  Add together this 11% and 21%:  32% had two or more absences.  Let the total number of students be n.  Then 32% of these n students add up to 96 students.  Thus, 0.32n = 96, and n= 300.

How many students had one absence?  The chart shows that that is 45%, and we know that there are 300 students total.  

Thus, the number of students who had one absence was 0.45(300) = 135.Step-by-step explanation:

Answer:

hey thanks for the point really appreciate it

Thank you so much for hosting!

The radius is 10 units, so we can plug that value into the formula and simplify. A=π(10)^2 = 100π. This means that the area of the circle is 100 times pi, or 314.16 square units (if we use 3.14 for pi).

In terms of pi, the area of a circle with a radius of 10 units would be 100pi square units. This is because the formula for the area of a circle is A=πr^2, where A is the area, π is pi (approximately equal to 3.14), and r is the radius of the circle.

In this case, the radius is 10 units, so we can plug that value into the formula and simplify. A=π(10)^2 = 100π. This means that the area of the circle is 100 times pi, or 314.16 square units (if we use 3.14 for pi).

It's important to note that using pi allows us to find exact values for the area of a circle, rather than using an approximation like 3.14. Pi is an irrational number, meaning it goes on forever without repeating, so we can't write down its exact value. But by using pi in calculations, we can find precise measurements for circular objects.

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The highest score for the given distribution is 25.

This is because the distribution is divided into ranges, with the first range being 20-25, the second range being 15-19, the third range being 10-14, and the fourth range being 5-9.

The highest score in each range is the number on the right side of the dash.

Therefore, the highest score in the first range is 25, the highest score in the second range is 19, the highest score in the third range is 14, and the highest score in the fourth range is 9.

Since 25 is the highest score among all of the ranges, it is the highest score for the entire distribution.

The correct answer is c) 25.

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