How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.

To find the value of y(0.5) from a second-order Taylor polynomial centered at x = 0, we need to first find the Taylor series expansion for y(x) up to the second-order term.

The general formula for the Taylor series expansion of a function y(x) centered at x = a is:

y(x) = y(a) + y'(a)(x - a) + (1/2)y''(a)(x - a)^2 + ...

In this case, we have y(0) = 2, and we need to find the values of y'(0) and y''(0).

Given that dy/dx = y^2, we can differentiate the equation implicitly to find y':

dy/dx = 2yy'

Using the initial condition y(0) = 2, we can substitute y = 2 and solve for y':

2 = 2(2)y'

y' = 1/2

Next, we differentiate the equation again to find y'':

d^2y/dx^2 = 2y(d/dx)y'

Substituting the values y = 2 and y' = 1/2, we have:

d^2y/dx^2 = 2(2)(1/2) = 2

Now we have all the necessary values to construct the second-order Taylor polynomial:

y(x) ≈ y(0) + y'(0)(x - 0) + (1/2)y''(0)(x - 0)^2

Substituting the values, we get:

y(x) ≈ 2 + (1/2)(x) + (1/2)(2)(x)^2

Simplifying:

y(x) ≈ 2 + (1/2)x + x^2

Now we can find the value of y(0.5) by substituting x = 0.5 into the second-order Taylor polynomial:

y(0.5) ≈ 2 + (1/2)(0.5) + (0.5)^2

y(0.5) ≈ 2 + 0.25 + 0.25

y(0.5) ≈ 2.5

Therefore, the value of y(0.5) from the second-order Taylor polynomial centered at x = 0 is approximately 2.5.

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Answer:

(2, 4)

x = 2

y = 4.

Step-by-step explanation:

To find the solution to the system of equations, we can simply set the two equations equal to each other as shown:

x + 2 = 3x - 2

Subtract 'x' from both sides:

2 = 2x - 2

Add '2' to both sides:

4 = 2x

x = 2.

Plug this value for 'x' into an equation to solve for 'y':

y = (2) + 2

y = 4.

Therefore, the solution to the system is (2, 4).

Answer:

Y=4

Step-by-step explanation:

How I did this.

y=x+2 y=3x-2

Moved around (you can do this)

y=2+2 y= 3x-x

y=4 y=2x

y=4.

Not sure if this is right. please check other answers

15

There's 5 people behind me and 10 people in front of me.

Answer:

The value of the slope of the line is 1

Step-by-step explanation:

Here, we want to find the value of the slope of the line that passes through the given points

Mathematically, we have the equation as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,-11)

(x2,y2) = (7,-8)

substituting these values in the slope equation, we have;

m = (-8-(-11))/(7-4) = 3/3 = 1

Answer:

1/20

Step-by-step explanation:

5%

Percent means out of 100

5/100

Divide top and bottom by 5

1/20

Answer:

HI THERE,THE ANSWER IS

B

Step-by-step explanation:

\(\frac{1}{20} \\\) X 100%=5%

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

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Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

Answer:

see explanation

Step-by-step explanation:

(a)

OC = OB ( both radii of the circle )

Thus Δ BOC is isosceles with congruent base angles.

∠ BOC = ∠ BCO = 50°

(b)

∠ ACB = 90° ( angle in a semicircle ), then

∠ ACO = 90° - 50° = 40°

OA = OC ( both radii of the circle )

Thus Δ ACO is isosceles with congruent base angles.

∠ BAC = ∠ ACO = 40°

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

-41

Step-by-step explanation:

I took the test

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Answer:

There is a positive correlation and the puppy gained about 1.5 kg

Step-by-step explanation:

→ Find initial weight

4.5

→ Find final weight

6.0

→ Subtract

1.5

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Answer: 29/8 of 3.625

Step-by-step explanation:

6 1/8- 2 1/2= 29/8 or 3.625

Answer: 29/8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24 bottles = 16 dollars!

? bottles = 12 dollars

Note:

In these type of Questions, find out  any dollars you could get with 1 bottle

or in simple terms, (first find the unit Rate)

24/16 = 1.5

1 bottle = 1.5 dollars

? bottles = 12 Dollars?

12/1.5

= 8

Your friend's claim that every quadratic function with a restricted domain to non-negative values has an inverse function is not correct.

To have an inverse function, a function must be one-to-one, which means that each input corresponds to a unique output and each output corresponds to a unique input. However, quadratic functions whose domains are restricted to non-negative values are not necessarily one-to-one.

For example, the quadratic function f(x) = x^2 with a domain of [0, infinity) is not one-to-one since both -2 and 2 produce an output of 4 when plugged into the function. Therefore, this function does not have an inverse function.

However, there are ways to restrict the domain of a quadratic function in a way that makes it one-to-one and thus invertible. For instance, by restricting the domain of f(x) = x^2 to [0, infinity), we can define its inverse function as g(x) = sqrt(x), where sqrt represents the square root function. This inverse function maps each non-negative real number x to its unique non-negative square root, which makes it a valid inverse for f(x) over its restricted domain.

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Answer:

\(6x - \frac{3}{X^2} + 2\)

Step-by-step explanation:

Hope this is correct and helps you! :))

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Answer: 219

Step-by-step explanation: hope this helps!!!!

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Answer

Answer:

2.11 is a rational number.

Step-by-step explanation:

Write down how you worked it out. This will be why. You can look up videos on how this is done.

This isn’t something we can really answer for you hun.

If you need help understanding, here’s a course that might help:

https://www.khanacademy.org/math/geometry/hs-geo-transformations

Answer:

\(-3\leq x\leq -1\)

Step-by-step explanation:

the brackets denote that the values listed are included in the interval

x is greater than or equal to -3, and less than or equal to -1

Answer: 8a

Step-by-step explanation:

Step-by-step explanation:

I can only think of one way to simplify this and it is by taking out the greatest common factor: a². Or by multiplying the two values together so it's only one value.

a²(3*5)

a²(15)

Or...

(3a² * 5a²)

(15a⁴)

(this one is a⁴ because a variable with a power multiplied by a variable with a power only adds the powers together)

This question doesn't make sense.Are you sure you wrote it correctly?

The sample mean of the given data is 24.

To find the mean:

Therefore, the sample mean of the given data is 24.

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The equation of the quadratic function, in factored form, is f(x) = 0.992(x + 3)(x - 2)

To determine the equation of the quadratic function based on the given information, we can use the factored form of a quadratic equation. The factored form of a quadratic function is given as follows:

f(x) = a(x - r1)(x - r2)

where "a" is the leading coefficient, and r1 and r2 are the roots (or x-intercepts) of the quadratic function.

Based on the information provided, we can deduce the following:

The vertex of the parabola is at (-0.5, -6.2). Since the parabola opens upward, the leading coefficient "a" must be positive.

The left slope intersects the x-axis at (-3, 0), which implies that x = -3 is one of the roots (or x-intercepts) of the quadratic function.

The right slope intersects the x-axis at (2, 0), which means x = 2 is the other root (or x-intercept) of the quadratic function.

Using this information, we can now determine the equation of the quadratic function:

Since we have the roots, r1 = -3 and r2 = 2, we can plug these values into the factored form equation:

f(x) = a(x - r1)(x - r2)

f(x) = a(x - (-3))(x - 2)

f(x) = a(x + 3)(x - 2)

To find the value of the leading coefficient "a," we can use the vertex coordinates. Since the vertex is (-0.5, -6.2), we can substitute these values into the equation:

-6.2 = a((-0.5) + 3)((-0.5) - 2)

-6.2 = a(2.5)(-2.5)

-6.2 = a(-6.25)

Dividing both sides by -6.25:

a = -6.2 / -6.25

a ≈ 0.992

Therefore, the equation of the quadratic function, in factored form, is:

f(x) = 0.992(x + 3)(x - 2)

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Note the graph is

The subtotal of the price after every percentage change are illustrated below.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information the total spending is,

= (9.98 + 9.99 + 16.99 + 24.99 + 12.98).

= $74.93.

Now, After a discount of 15% it would be,

= (85/100)×74.93.

= $63.7.

After 7% sales tax,

(107/100)×63.7.

= $68.2.

After a gratuity of 18% it would be,

$(118/100)×68.2.

= $80.5

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