the set of negative integers less than 0 but greater than -10?
help me please ​

The given initial-value problem, after the substitution t = -x, leads to a second-order ordinary differential equation in terms of t. The general solution for y(x) is expressed as y(x) = c₁cos((i/2x)ln|x|) + c₂sin((i/2x)ln|x|).

To solve the given initial-value problem using the substitution t = -x, we need to make the following substitutions:

Let y(x) = u(t) and x = -t.

First, we find the derivatives of y with respect to x:

dy/dx = du/dt * dt/dx = -du/dt

d²y/dx² = d/dx(-du/dt) = d²u/dt² * dt/dx = d²u/dt² * (-1)

Next, we substitute these derivatives and x = -t into the original differential equation:

4x²y" + y = 0

4(-t)²(-d²u/dt²) + u = 0

4t²d²u/dt² + u = 0

This simplifies to:

4t²d²u/dt² + u = 0

Now we have a second-order ordinary differential equation in terms of t.

To solve this equation, we assume a solution of the form u(t) = e^(rt). Plugging this into the equation, we get:

4t²r²e^(rt) + e^(rt) = 0

Factoring out e^(rt), we have:

e^(rt)(4t²r² + 1) = 0

For this equation to hold, either e^(rt) = 0 (which is not possible) or 4t²r² + 1 = 0.

Solving the quadratic equation 4t²r² + 1 = 0 for r, we find:

r = ± i/(2t)

Since r is imaginary, the general solution for u(t) is of the form:

u(t) = c₁cos((i/2t)ln|t|) + c₂sin((i/2t)ln|t|)

Now, we need to solve for y(x). Using the relation x = -t, we substitute -t for x in the expression for u(t):

u(-t) = c₁cos((i/2(-t))ln|-t|) + c₂sin((i/2(-t))ln|-t|)

= c₁cos((i/2t)ln|t|) + c₂sin((i/2t)ln|t|)

Thus, the general solution for y(x) is:

y(x) = c₁cos((i/2(-x))ln|-x|) + c₂sin((i/2(-x))ln|-x|)

= c₁cos((i/2x)ln|x|) + c₂sin((i/2x)ln|x|)

To find the particular solution that satisfies the initial conditions, we substitute x = -1 into the general solution:

y(-1) = c₁cos((i/2(-1))ln|-1|) + c₂sin((i/2(-1))ln|-1|)

= c₁cos((i/2)π) + c₂sin((i/2)π)

= c₁cos(iπ/2) + c₂sin(iπ/2)

Using the identities cos(iπ/2) = cosh(π/2) and sin(iπ/2) = isinh(π/2), we have:

y(-1) = c₁cosh(π/2) + c₂isinh(π/2)

Since y(-1) = 6, we get the equation:

6 = c₁cosh(π/2) + c₂isinh(π/2)

Similarly, differentiating the general solution with respect to x and substituting x = -1, we have:

y'(-1) = -c₁sin((i/2)ln|-1|)/2 + c₂cos((i/2)ln|-1|)/2

= -c₁sin(iπ/2)/2 + c₂cos(iπ/2)/2

= -c₁sinh(π/2)/2 + c₂icosh(π/2)/2

Since y'(-1) = 3, we get the equation:

3 = -c₁sinh(π/2)/2 + c₂icosh(π/2)/2

We now have a system of two equations:

6 = c₁cosh(π/2) + c₂isinh(π/2)

3 = -c₁sinh(π/2)/2 + c₂icosh(π/2)/2

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Answer:

$5.30

Step-by-step explanation:

To find the answer, you would need to divide $26.50 / .20 which would equal $5.30

Hope this helps and pls do mark me brainliest if you can:)

She should pay if she doesn’t want to leave pennies on the table $5.30,

the correct option is D

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\(\dfrac{a}{100} \tim\)

Given;

The bill for the food is $26.50

She has to pay 20% tip

Now,

20% of $26.50 be x;

x*100/26.50=20

x=20*26.50/100

x=5.3

Therefore, the answer by 20 percent will be $5.30

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Bulan's team's rowing rate in minutes is 2 min/500 m.

How quickly a rower can propel the oar through the water is determined by their rowing rate. It is usually expressed in strokes per minute (SPM) and has a significant impact on how well a rower performs. However, in order to optimize efficiency and reduce the danger of damage, it is crucial to find a balance between rowing rate and technique. A greater rowing rate typically results in a quicker boat speed.

This indicates that they will travel 500 meters in 2 minutes.

m/min, which is the inverse of the first expression, provides the rowing rate.

Rowing rate = m/min

Rowing rate = 500/2

Rowing rate = 250 m/min

Hence, the rowing rate is 250 m/min

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Answer:

7 = The y-intercept of the exponential function

1 = The y-intercept of the linear function

2 = The number of points of intersection

5 = The y-value of the solution in Quadrant I

Tell me if i'm wrong

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =

Answer:

the 4th one pentagonal prism

Answer:

pentagonal prism

Step-by-step explanation:

it doesn't resemble a pyramid, so it could only be a prism, and it isn't a rectangular one, cause it has two pentagons, on top and bottom

The equation of the quadratic model is \(f(x) = -16x^2 + 99x+ 6\), and the estimated height, after 0.25 seconds in 19 feet

A quadratic regression equation is represented as:

\(f(x) =ax^2 + bx + c\)

Where:

\(a = \frac{ [ \sum x^2 y * \sum xx ] - [\sum xy * \sum xx^2 ] }{ [ \sum xx * \sum x^2x^2] - [\sum xx^2 ]^2 }\)

\(b = \frac{ [ \sum xy * \sum x^2x^2 ] - [\sum x^2y * \sum xx^2 ] }{ [ \sum xx * \sum x^2x^2] - [\sum xx^2 ]^2 }\)

\(c = [ \frac{\sum y }{ n} ] - { b \times [ \frac{\sum x }{ n} ] } - { a * [ \frac{\sum x^2}{ n} ] }\)

Using a graphing calculator, we have:

\(a = -16.429\)

\(b= 81.071\)

\(c = 0.357\)

Approximate to the nearest integers

\(a = -16\)

\(b = 81\)

\(c = 0\)

Substitute these values in \(f(x) =ax^2 + bx + c\)

\(f(x) = -16x^2 + 81x\)

Substitute 0.25 for x to calculate the estimated height, after 0.25 seconds

\(f(0.25) = -16(0.25)^2 + 81(0.25)\)

\(f(0.25) = 19.25\)

Approximate

\(f(0.25) = 19\)

Hence, the equation of the quadratic model is \(f(x) = -16x^2 + 99x+ 6\), and the estimated height, after 0.25 seconds in 19 feet

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Answer:

f(2)=g(0) and f(0)=g(4)

3rd option for the second pic

Answer:

I think 5

Step-by-step explanation:

5u^2

just count the no. of squares

if they allocate sides or an area for the small square then:

sides

(side^2 • 5)

eg.  the side is equal to 2cm, then

(2^2 • 5) = 4(5)

              = 20 cm^2

allocated area for small square

square area • 5

eg. one square has an area of 4 cm^2

4 • 5 = 20 cm^2

Answer:

C, None of the above

Step-by-step explanation:

Step 1: Expand the brackets

-7 - 3(-4e-3)

-7 + 12e + 9

Step 2: Collect like terms

12e + 2

Because the answer is not a or b the answer is 'None of the Above'

Hey there! I'm happy to help!

Let's use the distributive property to undo the parentheses. We multiply the number next to the parentheses by each number inside of the parentheses.

-7+3(-4e-3)

-7-12e-9

We combine like terms.

-16-12e

This means that Answer B is incorrect. Answer A could still be correct though as it could have equal value to -16-12e.

-4(3e+4)

We use distributive property.

-12e-16

We see that these have the same value, so the correct answer is A.

Have a wonderful day! :D

Answer: a) 26297.50 b) 124.992870045

Step-by-step explanation:

a) 105.19*250=26297.50

b) 13148/105.19= 124.992870045

Answer:56

Step-by-step explanation:bc thats the answer

Answer:

x=1     y=3

Step-by-step explanation:

x+5y=16

x+3y=10

2y=6

y=3

x+15=16

x=1

verify

1+9=10

Answer:

x = 1 , y = 3

Step-by-step explanation:

x + 5y = 16 → (1)

x + 3y = 10 → (2)

Subtract (1) from (2) term by term to eliminate x

0 + 2y = 6

2y = 6 ( divide both sides by 2 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 5(3) = 16

x + 15 = 16 ( subtract 15 from both sides )

x = 1

Answer:

Ello there,

The following question is asking for us to determine the x value if the y value is 5.

In order for us to solve this we start by plugging in 5 for the y value:

5 = 3x - 7

Now we add 7 to both sides:

12 = 3x

Then we divide both sides by 3:

4 = x

Therefore, when the output is 5 the input has to be 4.

Hope I helped,

Ari

In the congruent triangles both triangle are same . In this triangle 2.3.3 congruent triangle image given below to understand better.

According to the question, given that

2.3.3 congruent triangle under congruence triangle are explain:

Both triangles are said to be congruent if the three angles and three sides of one triangle match the corresponding angles and sides of the other triangle. We can see from the examples PQR and XYZ that PQ = XY, PR = XZ, and QR = YZ, and thus P = X, Q = Y, and R = Z. Then, we can state that XYZ and PQR.

To be congruent, the two triangles must be the same size and shape. It is necessary for both triangles to be superimposed on one another. A triangle appears to be in a different place or have a different look as we rotate, reflect, and/or translate it.

Two triangles must meet five requirements in order to be congruent. The congruence properties are SSS, SAS, ASA, AAS, and RHS.

SSS Congruence Criteria

Side-Side-Side criterion is referred to as the SSS criterion. According to this standard, two triangles are congruent if their respective triangles' three sides are equal to one another.

The three angles of BAC must be identical to the corresponding angles of XYZ if, according to the SSS condition, BAC XYZ.

SAS Congruence Criteria

Side-Angle-Side criterion is referred to as the SAS criterion. According to this standard, two triangles are said to be congruent if their matching sides and included angles are the same on each side of each other.

The third side (AB) and the other two angles of ABC must be identical to the equivalent side (XY) and the angles of XYZ if ABC XYZ under the SAS condition.

ASA Congruence Criteria

Angle-Side-Angle criterion is also known as ASA criterion. According to the ASA criterion, two triangles are congruent if any two of their included sides and related angles are equivalent in size to those of the other triangle.

AAS Congruence Criteria

Angle-Angle-Side criterion is also known as the AAS criterion. Two triangles are said to be congruent according to the AAS criterion if any two angles and the non-included side of one triangle match the corresponding angles and side of the second triangle.

RHS Congruence Criteria

Right angle-hypotenuse-side congruence is referred to as the RHS criterion. If the hypotenuse and side of one right-angled triangle are equal to the hypotenuse and the corresponding side of another right-angled triangle, then two triangles are said to be congruent according to this criterion.

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Answer:

ighhhhhhhhhhhh

Step-by-step explanation:

2 angles are complementary if the sum of their measures is 90°.

a) 90°-55°=35°

The complement is 35°

2 angles are supplementary if the sum of their measures is 180°.

b) 180°-53°=127°

The supplement is 127°

According to the given information the limit of the given equation is 1.25 so the correct answer is option a.

Limit, a closeness-based mathematical notion, is largely used to give values to some functions at locations where none are specified, in a manner that is compatible with neighbouring values.

The value that a function assumes when its input approaches as well as approaches a particular number is really the function's limit. Limits determine continuity, integrals, as well as derivatives. The behaviour of the function at a certain place is always of relevance to the limit of the function.

\(\lim_{x \to 3} \frac{x^2-x-6}{x^2 - 2x - 3} \\\\ \lim_{x \to3} \frac{(x-3)(x+2)}{(x-3)(x+1)} \\\\ \lim_{x \to3} \frac{(x+2)}{(x+1)} \\\\$putting the value x=3$\\\\=\frac{3+2}{3+1} \\\\=\frac{5}{4} \\\\=1.25\)

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The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.

The decimal numbers are 6.399 and 6.400.

The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.

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Answer:

988 m^2

Step-by-step explanation:

A=wl

A=38*26 = 988 m^2

Answer:

The store needs \(988m^2\) of flooring.

Step-by-step explanation:

To find how many square meters of flooring the store needs, we need to find the area of the floor.

⭐ What does the area of a shape mean?

We are given that the length is 38 meters and the width is 26 meters.

Substitute these values into the area formula.

area = length*width

area = 38*26

∴ area = 988\(m^2\)

⭐if this response helped you, please mark it the "brainliest"!⭐

its a           .......................................Step-by-step explanation:

The net electric field at x=0 cm is -3.06 N/C directed to the left. At x=6.00 cm, the net electric field is -0.24 N/C directed to the left.

To find the net electric field at a given point, we need to calculate the contributions from each individual charge and add them vectorially. The electric field due to a point charge q at a distance r from the charge is given by the equation E = k * q / r², where k is the Coulomb's constant.

For q1 at x1=+3.00 cm:

r1 = x - x1 = 0 - 3.00 = -3.00 cm

E1 = k * q1 / r1²

For q2 at x2=+9.00 cm:

r2 = x - x2 = 0 - 9.00 = -9.00 cm

E2 = k * q2 / r2²

Adding the electric fields, we get the net electric field at x=0 cm.

For q1 at x1=+3.00 cm:

r1 = x - x1 = 6.00 - 3.00 = 3.00 cm

E1 = k * q1 / r1²

For q2 at x2=+9.00 cm:

r2 = x - x2 = 6.00 - 9.00 = -3.00 cm

E2 = k * q2 / r2²

Adding the electric fields, we obtain the net electric field at x=6.00 cm.

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9514 1404 393

Answer:

  (c)  Scalene acute

Step-by-step explanation:

The largest angle is 82°, so the triangle is an acute triangle.

All angles (hence, all sides) are different, so the triangle is scalene.

It is a scalene acute triangle.

_____

The statement that no sides are equal is redundant, given the fact that no angles are equal. Sides of a triangle are proportional to the sine of the opposite angle, so if angles are different, sides are different.

In 120 different ways the tables can be arranged.

In mathematics, the term "factorial" refers to the sum of all positive integers that are less than or equal to a certain positive integer, which is followed by an exclamation point.

When evaluating permutations and combinations as well as the coefficients of terms in binomial expansions, factorials are frequently used.

Given,

There are 5 square tables and they are all the same size

No. of arrangements = 5!

                                   = 5 × 4 × 3 × 2 × 1

                                   = 120

Hence, no. of arrangements are 120.

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Answer:

Cross multiply:

2 * 4 = 7 * r

Simplifying

2 * 4 = 7 * r

Multiply 2 * 4

8 = 7 * r

Solving

8 = 7r

Hope this helps.

The number of ways are there of choosing ten balls from the box if the number of green balls must be in even numbers =15946 ways

To determine the number of ways of choosing ten balls from the box such that the number of green balls chosen is even, we need to consider the different possible combinations of green balls that could be chosen.

First, we can select 0 green balls, in which case we would need to choose all 10 balls from the 5 red and 8 yellow balls. This can be done in (5+8) choose 10 ways, which is 13 choose 10, or 286 ways.

Alternatively, we could choose 2, 4, or 6 green balls, and then select the remaining balls from the red and yellow balls. To count the number of ways of doing this, we can use the binomial coefficient formula.

The total number of ways of selecting 10 balls from the box is (6+5+8) choose 10, which is 19 choose 10, or 92,378 ways.

Therefore, the number of ways of choosing 10 balls from the box such that the number of green balls chosen is even is the sum of the number of ways of choosing 0, 2, 4, or 6 green balls, which is:

(6 choose 0)(13 choose 10) + (6 choose 2)(5 choose 8)(8 choose 0) + (6 choose 4)(5 choose 6)(8 choose 0) + (6 choose 6)(5 choose 4)*(8 choose 0)

Simplifying this expression gives a total of 15,946 ways.

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A. 34cm

Hope this helps! :)

Answer:

I think it’s b but I’m not 100% sure tho…