If u do 3 I’ll mark Brainlynest and give u 29 points

Answer:

f(6) = - 4

Step-by-step explanation:

Substitute x = 6 into f(x) , that is

f(6) = - 6 + 2 = - 4

Power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x=1.

A differential equation in mathematics is an equation that connects the derivatives of one or more unknown functions.

Applications often involve functions that reflect physical quantities, derivatives that depict the rates at which those values change, and a differential equation that establishes a connection between the three.

The given equation: \(\left(x^2-2 x+26\right) y^{\prime \prime}+x y^{\prime}-4 y=0\)

It is necessary to determine the power series solutions' minimal radius of convergence R around the typical points x = 0 and x = 1.

The separation between the ordinary point and the differential equation's singularity is now the minimal radius of convergence.

The polynomial's root, which is connected to the second derivative, is the singularity point.

The singularity points will be determined as follows:

\(\begin{aligned}& x^2-2 x+26=0 \\& x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a} \\& x=\frac{2 \pm \sqrt{(-2)^2-4 \times 1 \times 26}}{2} \\& x=1 \pm \sqrt{-100} \\& x=1 \pm 10 i\end{aligned}\)

In this case, x1 = 1+10i and x2 = 1-10i are the singularity sites.

The ordinary points at this time are z1 = 0+01 and z2 = 1+0i.

One can compute the minimum radius of convergence using the formula:

\(\begin{aligned}& r_1=\left|z_1-x_1\right| \\& =|0+0 i-1-10 i| \\& =\sqrt{101} \\& =10.0498 \\& r_2=\left|z_2-x_1\right| \\& =\sqrt{100} \\& =10\end{aligned}\)

Therefore, power series solutions have a minimum radius of convergence of R of 10.0498 around the normal point x = 0 and 10 units around the normal point x = 1.

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Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Answer: The distance between two points with coordinates

(3,2) and (6,4) is:

3.61 units

The distance between two points plotted at (3, 2) and (6, 4) on a coordinate plane is √13 unit.

let there are two point in a cartesian plane named as P(a, b) and Q(c, d) then the distance between P and Q is

PQ= √(c-a)² + (d-b)²

Given:

we have the points (3, 2) and (6, 4) on a coordinate plane.

Using Distance Formula

= √(6-3)² + (4-2)²

= √3²+2²

= √9+4

= √13 unit

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To answer your question, Hailey is using the distributive property to simplify the calculation of 7(18). The distributive property allows us to break up a multiplication problem into smaller, more manageable parts.

Hailey has rewritten 18 as 10 + 8, and she will now use the distributive property to calculate 7 times each of these two numbers separately.
So, the two products that Hailey will add together to get the final product are 7 times 10 (which is 70) and 7 times 8 (which is 56).
To check her work, she can add these two products together:
70 + 56 = 126
So, using the distributive property and breaking up 18 into 10 and 8, Hailey can mentally compute the product of 7(18) as 126.
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The correct statement is D) The parabola is narrower and shifted 7 units to the right.

Vertical Stretching:

If the parameter a in the equation of the parabola is multiplied by a positive constant k, the parabola will be vertically stretched or compressed.

If k > 1, the parabola will be stretched and become narrower, while if 0 < k < 1, the parabola will be compressed and become wider.

Horizontal Shift:

If the parameter b in the equation of the parabola is increased or decreased by a constant k, the parabola will be shifted horizontally by k units.

Here we have

The function f(x) = x² is transformed to f(x) = 6(x − 7)²  

The function f(x) = x² is a parabola

And the function f(x) = 6(x − 7)² is also a parabola    

Where multiplying the function by 6 shows the parabola is stretched vertically by a factor of 6 and horizontally shifted 7 units to the right.  

Therefore,

The correct statement is D) The parabola is narrower and shifted 7 units to the right.

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Answer: 113.1 in.

Step-by-step explanation:

C=2πr=2·π·18≈113.09734in

Hope this helped! :)

Step-by-step explanation:

If the triangle is bigger than before, then the dilation is bigger than 1.

If the triangle is smaller than before, then the dilation is smaller than 1.

Answer:

Step-by-step explanation:

Answer:

ANSWER :

285.12

discount amount =45/00 x 480=45 x 48/10

=216.0

price of discount =480-216=264

salex tex 8/100 x 264. =21.12

total many of spend 264+21.12=285.12

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The probability of getting the specific sequence t, h, h, h, h, t, t, t, t, t, t when tossing a coin 11 times is 1/2048.

To find the probability of this specific sequence occurring, we need to use the formula for the probability of a specific sequence of independent events:

P(A and B and C and D and E and F and G and H and I and J and K) = P(A) * P(B) * P(C) * P(D) * P(E) * P(F) * P(G) * P(H) * P(I) * P(J) * P(K)

In this case, A represents the first toss being a tails (t), B represents the second toss being a heads (h), and so on until K represents the eleventh toss being a tails (t).

Using the given sequence, we can calculate the individual probabilities for each toss:

P(A) = 1/2 (since there is a 50/50 chance of getting either heads or tails on the first toss)

P(B) = 1/2 (since there is a 50/50 chance of getting heads on the second toss after getting tails on the first toss)

P(C) = 1/2 (since there is a 50/50 chance of getting heads on the third toss after getting heads on the second toss)

P(D) = 1/2 (since there is a 50/50 chance of getting heads on the fourth toss after getting heads on the third toss)

P(E) = 1/2 (since there is a 50/50 chance of getting heads on the fifth toss after getting heads on the fourth toss)

P(F) = 1/2 (since there is a 50/50 chance of getting tails on the sixth toss after getting heads on the fifth toss)

P(G) = 1/2 (since there is a 50/50 chance of getting tails on the seventh toss after getting tails on the sixth toss)

P(H) = 1/2 (since there is a 50/50 chance of getting tails on the eighth toss after getting tails on the seventh toss)

P(I) = 1/2 (since there is a 50/50 chance of getting tails on the ninth toss after getting tails on the eighth toss)

P(J) = 1/2 (since there is a 50/50 chance of getting tails on the tenth toss after getting tails on the ninth toss)

P(K) = 1/2 (since there is a 50/50 chance of getting tails on the eleventh toss after getting tails on the tenth toss)

Multiplying these probabilities together gives us the probability of getting the sequence t, h, h, h, h, t, t, t, t, t, t:

P(t, h, h, h, h, t, t, t, t, t, t) = (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) * (1/2) = 1/2048

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P therefοre has a value οf 45/2 and x = -0.4.

A mathematical assertiοn that twο expressiοns are equivalent is knοwn as an equatiοn. It frequently includes οne οr mοre variables, which are unknοwable things with a wide range οf pοssible values. Finding the value οr values οf the variable that make the equatiοn true is the aim οf equatiοn sοlving. Mοst equatiοns take the fοrm: expressiοn is alsο expressiοn. Fοr instance, the fοrmula x + 2 = 5 states that the prοduct οf x and 2 is 5.

given

If the answer tο the equatiοn px² + 16x + 4 = 0 is x=-2/3, we can be cοnfident that we will οbtain an equivalence if we replace x = -2/3 in the fοrmula.

Adding x=-2/3 tο the sοlutiοn results in:

p(-2/3)² + 16(-2/3) + 4 = 0

Simplifying the phrase:

(4/9)p - (32/3) + 4 = 0

(4/9)p = (32/3) - 4

(4/9)p = (20/3)

By adding (9/4) tο bοth ends, we get:

p = (20/3) * (9/4)

p = 15

P therefοre has a value οf 45/2.

For x,

15x² + 16x + 4 = 0

3x(5x + 2) + 2(5x + 2)

(3x + 2)(5x + 2)

x = -2/3 and x = -0.4

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Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

The most appropriate choice for expanded form of a number will be given by-

We can expand 2015473, as 2015473 can be written as                 200000 + 15000 + 400 + 70 + 3

And every integers can be written in expanded form.

What is expanded form of a number?

At first it is important to know about integers.

A number with no fractional parts is called integer. Integers can be positive, negative and zero is also an integer.

Expanded form of a number is equal to the sum of place value of its digit.

For example, for 423, place value of 4 = 400, place value of 2 = 20, place value of 3 = 3

423 = \(400 + 20 + 3\)

Here,

2015473 can be written as 200000 + 15000 + 400 + 70 + 3

every integer can be written in expanded form.

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Answer:

Step-by-step explanation:

3y+6-4x=0

3y-4x=0-6

3y-4x=-6

y-4x=6/3

y-4x=2

y-x=2/4

y-x=0.5

Answer: The answer would be x = -3 + 0.5y.

Step-by-step explanation: pls give me brainliest. may help w/ my depression.

Sam's depth is 25 feet as 14 + 9 = 25

Answer:

C) 17

Step-by-step explanation:

Using the rule

A^2 + B^2 = C^2

8^2 + 15^2 = x^2

64 + 225 = x^2

x^2 = 289

x= _/-289

x = 17

Answer:

35.12 dollars. hope this helps

Step-by-step explanation:

Answer:

28/60

Step-by-step explanation:

There are 60 people in total and only 28 people said they prefer strictly vanilla and no other flavor.

28/60

The given equation is a linear equation.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

g(x) = 1/3x - 6

We need to identify whether the given equation is Linear, Quadratic, Exponential, or None and why.

g(x) is the term that shows the rate of change with respect to x.

1/3 is the coefficient of the variable x

and the 6 is the constant term in the equation.

so, comparing the given equation with standard form of linear equation,

y = mx + c.

we can say here,

y = g(x)

m = 1/3,

c = 6

Hence, the given equation is a linear equation.

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Answer:

Step-by-step explanation:

The mean is the average value: the sum divided by the number of numbers. The median is the middle number when they are written in increasing order. The mode is the number that appears most often. The range is the difference between the highest and lowest values.

__

Sorted into increasing order, the numbers are ...

  43, 57, 67, 87, 98

The total of these values is

  43 +57 +67 +87 +98 = 352

The mean is this sum divided by the number of contributors:

  mean = 352/5 = 70.4

__

The median of the 5 numbers is the middle (3rd) one:

  median = 67

__

The mode is the most-repeated number. All of the numbers show up exactly once, so there is no mode.

  mode: none

__

The range is the difference between the highest and lowest values:

  range = 98 -43

  range = 55

The average rate at which the object falls during the first 3 seconds is given as follows:

-48.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function.

The function for this problem is defined as follows:

h(x) = 400 - 16x².

The numeric values are given as follows:

Thus the average rate of change is obtained as follows:

r = (256 - 400)/(3 - 0)

r = -48.

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Sarah scored 82 points on her first test of the year. On the second test,

82%

On the Second Test, She scored 77 points

77%

82

-77

=5

The Percent of Change is 5%

or -5% Because The second test Is lower than her first test

Answer:

5%

Step-by-step explanation:

82% - 77%=5%

82%

77%

so there fore the answer is 5%

Answer:

Ratio = 4:2

Value of the ratio = 2

The amount of club soda is 2 times the amount of white grape juice

Step-by-step explanation:

not sure of the value of the ratio though ;-;

Answer:

True

Step-by-step explanation: