I NEED HELP ASAP PLEASE!!!!!!

(a) By induction, we can prove that an ≤ 2 for all n.

(b) By induction, we can prove that the sequence {an} is monotone increasing.

(c) The limit of the sequence {an} as n approaches infinity is √2.

(a) To prove an ≤ 2 for all n, we can use mathematical induction. For the base case, we have a₁ = √√2, which is clearly less than 2. Now assume that an ≤ 2 for some arbitrary value n = k. Then, we can show that an+1 ≤ 2 by substituting the recursive definition into the inequality. By simplifying the expression, we can observe that an+1 is also less than or equal to 2. Hence, by the principle of mathematical induction, an ≤ 2 for all n.

(b) To show that the sequence {an} is monotone increasing, we again use mathematical induction. For the base case, a₁ = √√2. Now assume an ≤ an+1 for some arbitrary value n = k. By substituting the recursive definition into the inequality and simplifying, we can observe that an+1 is greater than or equal to an. Hence, by the principle of mathematical induction, the sequence {an} is monotone increasing.

(c) To find the limit of the sequence {an} as n approaches infinity, we can consider the recursive definition. As n tends to infinity, an+1 = √(√2 + an). By substituting the limit into the equation, we have L = √(√2 + L). By solving this equation, we find that the limit L is equal to √2. Thus, limn→∞ an = √2.

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Answer:

10*3=5(x-4)(doing cross multiplication)

30=5x-20

30-20=5x

10/5=x

2=x

Step-by-step explanation:

Answer:

x=10 so the proportion is 3/6 =5/10

Step-by-step explanation:

5(x-4) = 3*10, cross multiply

5x -20 =30, distribute in parenthesis

5x = 30 +20, add 20 on both sides

5x=50, combine like terms

x= 10, divide both sides by 5

Answer:

all but 180 abce 1235

Step-by-step explanation:

Answer:

A,B,C,D

Step-by-step explanation:

we have that

50%=50/100=0.50

Multiply the total tickets sold by the factor of 0.50

so

94*0.50=47 tickets

Answer:

-0.8 and 0.8

Step-by-step explanation:

Answer:

I beleive the answer is -.8 and 0.8

Have A great rest of your day :)

The lateral surface area of the cone is 20π square units.

To find the lateral surface area of a right circular cone generated by revolving the region bounded by y = 3x/4, y = 3, and x = 0 about the y-axis, we need to follow these steps,

1. Find the height and slant height of the cone.
2. Use the formula for the lateral surface area of a cone: LSA = πr * l, where r is the radius and l is the slant height.

Find the height and slant height of the cone.
The equation of the line is y = 3x/4. We are given that y = 3, so we can solve for x:
3 = 3x/4
x = 4

Thus, the height (h) of the cone is 3, and the base radius (r) is 4. To find the slant height (l), we can use the Pythagorean theorem:
l² = h² + r²
l² = 3² + 4²
l² = 9 + 16
l² = 25
l = 5

Use the formula for the lateral surface area of a cone.
LSA = πr * l
LSA = π(4) * (5)
LSA = 20π

The lateral surface area of the cone is 20π square units.

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C

Because it will equal 5,260 but all the other are bigger

Answer:

8:9

Step-by-step explanation:

32 min: divided by 4= 8

36 min: divided by 4= 9

In simplest form the answer would be 8:9

What I just did there is called simplifying.

To simplify, you will need to divide both numbers by the same number for example 15:5, this simplified would be 3:5 due to how we multiplied both numbers by the same amount, 5. This works just like how 32:36 in simplest form would be 8:9.

Answer:

18. A

19. C

20. B

Step-by-step explanation:

I don't know if I'm 100% correct, sorry if it's wrong </3

Answer:

parenthesis

exponents

multiply

divide

add

subtract

Step-by-step explanation:

cant help you on the other question sorry

Answer:

Pemdas,

Parenthesis, exponents, multiplication, division, addition, subtraction

-A way to remember the order is to say Please Excuse My Dear Aunt Sally

The triangle height formula would be

h= 2*A/B

Using the division operation, the number of 2/3's in 3 is 4

3 ÷ 2/3

change the sign to multiplication and take inverse of 2/3

3 × 3/2 = 9/2 = 4.5

We need only the whole number value .

Therefore, the number of 2/3's in 3 is 4.

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The solution of the given statement '8 times 8 to the negative' would be -64.

It is known that Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that 8 times 8 to the negative.

8 times 8 to the negative means;

8 x (-8) =- 64

This the solution of the given expression.

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The histogram represents the sampling distribution of the proportion of heads in 10 flips of the coin, which is an example of a binomial distribution.

In this scenario, the parameter of interest is the true population proportion of heads in a coin flip. The process of flipping the coin 10 times and recording the proportion of heads is an example of a binomial distribution, where each flip is a Bernoulli trial with a probability of success (getting heads) of 0.5.
By repeating this process many times and creating a histogram of the results, we are creating a sampling distribution of the proportion of heads in 10 flips of the coin. This allows us to see the variability of the proportion of heads we could get from different samples of the same size.
If we are using simple random sampling, meaning each possible sample of 10 coin flips has an equal chance of being chosen, then there should be no bias present in our results. However, if we are using a different sampling method, such as convenience sampling, there could be a bias present in our results.

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Answer:

3

Step-by-step explanation:

5×3=15 she would have 4 left but can't make a full star

The total cost is the sum of the pizza and the tip. The value of the tip is 15% of the cost of the pizza. Percentage is expressed in terms of 100. The value would be

15/100 * 39 = 5.85

The total cost would be

39 + 5.85 = 44.85

Rounding to the nearest cent, it becomes $44.90

Answer:

44.90 gotta round the the nearest cent

The distance between the points is given by the equation D = 17 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between the points be D

Now , the equation will be

Let the first point be P ( 1 , 0 )

Let the second point be Q ( 9 , 15  )

Now , Distance between two points is the length of the line segment that connects the two points in a plane.  

And , D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

D = √ ( ( 9 - 1 )² + ( 15 - 0 )² )

D = √ ( 8 )² + ( 15 )²

D = √ ( 64 + 225 )

D = √289

D = 17 units

Hence , the distance is 17 units

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Answer:

119

Step-by-step explanation:

I hope this helps!!:)

The mean is 6

The variance is 4/3

The standard deviation is approximately 1.15.

How we Calculate the mean?
The mean (μ) of a uniformly distributed random variable is the average of the endpoints of the interval. So, in this case:
μ = (4 + 8) / 2 = 12 / 2 = 6

How we Calculate the variance?
The variance (σ²) of a uniformly distributed random variable is given by the formula:
σ² = (b - a)² / 12
where a and b are the endpoints of the interval. In this case:
σ² = (8 - 4)² / 12 = 4² / 12 = 16 / 12 = 4 / 3

How we Calculate the standard deviation?
The standard deviation (σ) is the square root of the variance. So, in this case:
σ = √(4 / 3) ≈ 1.15

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Step-by-step explanation:

67-35= 32...do it along the number line dude

The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².

A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating

straight line of that surface.

The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.

The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.

The axis of symmetry is the line through the focus and perpendicular to the directrix.

The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens

up" or "opens down.

The directrix is a fixed straight line used in the definition of a

parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the

distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's

the solution to the given problem:

The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)

The vertex is (h,k) = ((18+2)/2,5) = (10,5)

Then we can use the following formula: (x - h)² = 4p(y - k)

Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)

Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)

The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).

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Answer:

well um i would say $60.50

Step-by-step explanation:

Answer:

Step-by-step explanation:

Recursive sequences generally look like this:

a1 = something

an= ahhhhhh

The 1st term in this sequence is 11.

So we have

a1=11

And now we see that each term is adding by 22.

We have,

a1=11

\(a_{n} =a_{n-1}+22\)

The values using trigonometric ratios are sinR = 15/17; cosR = 8/17, tanR = 15/8

An equation is an expression that uses mathematical operations to show how numbers and variables are related to each other.

Pythagoras ratio is an equation that shows the relationship between the sides of a right triangle.

To find TR, using Pythagoras:

TR² = TY² + YR²

TR² = 15² + 8²

TR = 17

Trigonometric ratios show the relationship between sides and angles of right triangle.

Hence:

sinR = 15/17; cosR = 8/17, tanR = 15/8

The values are sinR = 15/17; cosR = 8/17, tanR = 15/8

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ok

1.- Convert 1 m to mm

1 m ------------------ 100 cm 10 mm ------ 1 cm

there are 10 x 100 = 1000 mm in a meter

2.- Convert 35 cm into mm

10 mm -------------- 1 cm

x -------------- 35 cm

x = (35 x 10) / 1

x = 350 mm

3.- Total = 1000 + 350 = 1350 mm

The answer is H. 1350 mm

Answer:

It can be for example:  if you had to find out the area of a square, and the base was 5 and the height -1/3. To find the answer you would have to multiply these 2 values

Step-by-step explanation:

Answer:

Step-by-step explanation:

\({ \sf{ factorise \: \: { \underline{ \green { \tt{ {x}^{2} (x + 2) - x(x + 2) - 12(x + 2)}}}}}}\)

\({ \sf{ \blue{ \:taking \: (x + 2) \: common}}} \\ \\{ \dashrightarrow { \sf{ \green{(x + 2)( {x}^{2} - x - 12)}}}}\)

\({ \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - (4x - 3x) - 12)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{(x + 2)( {x}^{2} - 4x + 3x - 12)}}}}\)

\({ \dashrightarrow{ \green{ \sf{(x + 2)(x(x - 4) + 3(x - 4))}}}} \\ \\ { \dashrightarrow{ \underline{ \boxed{ \green{ \sf{(x + 2)(x + 3)(x - 4)}}}}}}\)

Answer:

The expression that represents Graham's sales is: 2a - 6

The value of the expression is y'=-5/3 and y'(4,7)=-5/3.

Implicit differentiation is a technique used to find the derivative of an implicitly defined function. To use this method, we differentiate both sides of the equation with respect to the independent variable and solve for the derivative of the dependent variable. Applying this technique to the given equation 5xy + y - 147 = 0, we get:

(5x + 1) * dy/dx + 5y = 0

Now, solving for dy/dx, we get:

dy/dx = -5y / (5x + 1)

To evaluate y' at (4,7), we substitute x=4 and y=7 in the above expression:

y'(4,7) = -5(7) / (5*4 + 1) = -35/21 = -5/3

Therefore, y'=-5/3 and y'(4,7)=-5/3.

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