What is the solution for (+2)²+5=0

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

700π square centimeters

Step-by-step explanation:

The formula for the surface area of a cylinder is:

Surface area = 2πr² + 2πrh

Where r is the radius of the circular base, h is the height of the cylinder.

In this case, the radius (r) of the cylinder is 10 cm, and the height (h) is 25 cm.

Substituting these values into the formula, we get:

Surface area = 2π(10)² + 2π(10)(25)

Surface area = 2π(100) + 2π(250)

Surface area = 200π + 500π

Surface area = 700π

Therefore, the surface area of the cylinder is 700π square centimeters.

this website called cliffnotes

Answer:

Step-by-step explanation:

Substitute and calculate:

As a result of answering the given question, we may state that No, equation because there isn't exactly one output for each input.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides separated by an equals sign (=). For example, the equation "2x + 3 = 9" argues that the expression "2x + 3" is equal to the value "9". The purpose of equation solving is to determine the value or values of the variable(s) that make the equation true. Simple or complex equations, linear or nonlinear, and involving one or more variables are all possible. For example, the quadratic equation "x2 + 2x - 3 = 0" involves the variable x raised to the second power. Equations are utilised in many areas of mathematics, such as algebra, calculus, and geometry.

To test whether the relationship is a function, we must examine whether each input (x-value) has precisely one output (y-value).

The mapping diagram shows that input -4 is related with output -5, but input 0 is associated with two separate outputs, -4 and -2. Similarly, the input 1 is linked to -3, but the input -2 is likewise linked to -3. As a result, the relation is not a function because some inputs have several outputs.

As a result, the right answer is:

No, because there isn't exactly one output for each input.

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The measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.

Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other, known as parallel lines.

We have a statement:

a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.

Consider the line segment AB, 

let D be the midpoint of AB, so AD=DB

CD ⊥ AB

The triangles CAD and CBA are congruent from the Side Angle Side congruence postulate:

AD = DB, CD is common and Angle CDA = angle CDB = 90°, as CD ⊥ AB

So CA=CB

Thus, the measure of CA is equal to measure of CB or CA=CB by the Side Angle Side congruence postulate.

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\( c.\:{x}^{ - 4} \)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)

\( \frac{7 {x}^{4} }{7 {x}^{8} } \\ = \frac{ {x}^{4} }{ {x}^{8} } \\ = {x}^{4 - 8} \\ = {x}^{ - 4} \)

Note:-

\( {x}^{m} \times {x}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:

Hello,

Answer 8a²c(a+3c) =8a³c+24a²c

Step-by-step explanation:

2a²+6ac=2a(a+3c)

4a²c+12ac²=4ac(a+3c)

H.C.F=2a(a+3c)*4ac=8a²c(a+3c)

Answer:

1st expression:2a×a+2×3×a×c

2nd expression:2×2×a×a+2×2×3×a×c×c

here,

2×a×a+2×3×a×c

2a^a+6ac

Answer:

the closest i got is \(\frac{43-24x}{2x-5}\)

Step-by-step explanation:

SOLUTIONS

Solve a given equations or algebraic symbols?

(A)

(B)

(C)

(D)

Minimum radius of convergence R of power series solutions about the ordinary point x = 1 is 1.

The minimum radius of convergence R of power series solutions about the ordinary point x = 1 of the differential equation (x²-9)y''+3xy'+y=0 can be determined as follows:Let us first write the differential equation as: y''+ (3x/(x²-9)) y' + (1/(x²-9)) y= 0Therefore, we have the following properties: p(x) = (3x/(x²-9)), q(x) = (1/(x²-9)), and x0 = 1. Since p(x) and q(x) are both rational functions, and are defined for all x except ±3, the point x0 = 1 is an ordinary point.

To obtain power series solutions about the ordinary point x = 1, we should look for solutions of the form: y = (x - 1)²Σn≥0 an(x - 1)^n, where an's are constants to be determined. This is the power series solution about x0, expanded around x0, which is x = 1.Let us now plug in this series for y, y', and y'' into the differential equation:Σn≥0 an(n+1) (x - 1)^n + 3Σn≥0 an(x - 1)^(n+1) / (x - 1)² - Σn≥0 an(x - 1)^n / (x - 1)²= 0Multiplying everything by (x - 1)² and grouping together all coefficients of the same power, we have:Σn≥0 [(n+1)(n-2) an - 3an] (x - 1)^n= 0

Comparing the coefficients of the like powers of (x - 1), we get:2a1 = 0, and [(n+1)(n-2) an - 3an] = 0 for n ≥ 2.The solution for a1 = 0 does not affect the radius of convergence. Therefore, for n ≥ 2, we obtain an = 3 / [n(n-3)] by solving the quadratic equation, n² - n - 6 = 0.Therefore, the power series solution about x0 = 1 is: y = Σn≥2 [3 / (n(n-3))] (x - 1)² (x - 1)^nThe radius of convergence of this series is given by:R = limn→∞ |an / an+1|= limn→∞ |n(n-3) / (n+1)(n-2)|= 1Therefore, the minimum radius of convergence of the power series solutions about the ordinary point x = 1 is R = 1.

Hence, the answer is: Minimum radius of convergence R of power series solutions about the ordinary point x = 1 is 1.

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Answer:

5. 18 feet = 6 yards

6. 48 ounces = 3 pounds

7. 10.560 feet = 0.002 miles

8. 4 pounds = 64 ounces

Step-by-step explanation:

5. The ratio of yard to feet is 3:1 so divide 18 by 3

6. The ratio of ounces to pounds is 16:1 so divide 48 by 16

7. The ratio of feet to miles is 5280:1 so divide 10.560 by 5280

8. The ratio of pounds to ounces is 1:16 so multiply 4 by 16

Hope this helps!

Answer:  the answer would be 54

Step-by-step explanation:

4 x 4 = 16

8 x 4 = 32

16 + 32 + 6 = 54

When the company asked its customers to describe how satisfied they were with the latest product, it's a discrete data.

It should be noted that the main distinction between continuous and discrete data is that the former has a finite value that can be counted while the latter has an endless number of possible values that can be measured.

A count involving integers is referred to as discrete data because there are a finite number of possible values. This kind of data cannot be separated into separate components. Discrete data consists of discrete variables that are non-negative, countable, and finite.

In this case, it should be noted that the measurement was taken based on their satisfaction. Therefore, it's a discrete variable.

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The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units

A line is the distance between two points.

Analysis:

point a( -3,1) point b(2, -6) point translated b(-1, -8)

Distance ab = \(\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }\)

Distance ab = \(\sqrt{(-1--3)^{2} + (-8-1)^{2} }\) = 9.21 units

Distance btb = \(\sqrt{(-1-2)^{2} + (-8- -6)^{2} }\) = 3.6 units

In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.

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Answer:  I would use pennies. It is the lowest cost per unit of area.

The cost of the "penny carpet" would be about $ 5,319

Step-by-step explanation:

Each penny is 19.05mm or 1.905cm in diameter 100 centimeters per meter, so 100/1.905 = 52.493 pennies per meter in width, Squared to find number per square meter: 52.493² = 2755.5

The total area of the floor is 23 × 12 in the main area and 3×3 in the entrance,

184 m² + 9 m² = 193 m² .  Multiplied by the cost per square meter,   $27.56

Total cost: $5,919

The closest comparison would be the nickel. At 2.121 cm, it would take slightly  fewer coins per m² , about 2223, but at  $0.05 each, the cost per m² is about $111.15.  The nickel carpet would cost 4 times as much as the penny carpet.

To determine whether the sequence {an} = 5n/4n + 1 is convergent or divergent, we can analyze its behavior as n approaches infinity.

First, let's rewrite the expression for the nth term of the sequence:

an = 5n / (4n + 1)

As n approaches infinity, the denominator 4n + 1 becomes dominant compared to the numerator 5n. Therefore, we can simplify the expression by neglecting the term 5n:

an ≈ n / (4n + 1)

Now, we can consider the limit of the sequence as n approaches infinity:

lim(n→∞) n / (4n + 1)

To evaluate this limit, we can divide both the numerator and denominator by n:

lim(n→∞) (1 / 4 + 1/n)

As n approaches infinity, the term 1/n approaches zero, leaving us with:

lim(n→∞) 1 / 4 = 1/4

Since the limit of the sequence is a finite value (1/4), we can conclude that the sequence {an} = 5n/4n + 1 is convergent.

In other words, as n gets larger and larger, the terms of the sequence {an} get closer and closer to the limit of 1/4. This indicates that the sequence approaches a fixed value and does not exhibit wild oscillations or diverge to infinity. Therefore, we can say that the sequence is convergent.

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Answer:

It kind of looks like the length of IY should be trippled (multiplied by 3 times) by EY so 3 x 7.9 = 23.7 I THINK it's 23.7

Wait for more responses if needed.

Answer:

Yes

Step-by-step explanation:

Substitute:

Calculate the product or quotient:

Calculate the sum or difference:

Obtain a simplified relation:

Determine true or false: True

Answer: True

When swerving, there are a number of factors that come into play, including traction, lean, load triangle, and being upright. Swerving in a straight line can be relatively easy, as the rider only needs to make minor adjustments to maintain balance.

When comparing swerving in a straight line to swerving in a curve, the key differences involve traction and maintaining an appropriate lean angle.
Swerving in a curve requires more traction than swerving in a straight line. Traction is essential for maintaining control of your vehicle, especially when navigating curves. As you swerve in a curve, your tires need to have a good grip on the road surface to prevent skidding or losing control.
Additionally, managing lean angles is more critical when swerving in a curve. To maintain balance and control, you must avoid leaning too much, as it can cause the vehicle to tip over or slide out. In a curve, the lean angle needs to be adjusted appropriately to match the curve's radius, while also considering your speed and road conditions.
In summary, swerving in a curve requires more traction and careful management of lean angles compared to swerving in a straight line. The load triangle and keeping the vehicle upright are important, but they are not the primary factors that make swerving in a curve more challenging than swerving in a straight line.

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Given;

f(x):3x5 -20x3 in the interval I-1,2]
The critical numbers for the function f(x) = 3x^5 - 20x^3 in the interval [-1, 2] are x = 0. The maximum value of f on the interval is 96, and the minimum value of f on the interval is -23.

To find the critical numbers for the function f(x) = 3x^5 - 20x^3 in the interval [-1, 2], follow these steps:

1. Find the derivative of the function:
f'(x) = 15x^4 - 60x^2

2. Set the derivative equal to zero and solve for x to find critical numbers:
15x^4 - 60x^2 = 0
x^2(15x^2 - 60) = 0
x^2(5x^2 - 20) = 0

Critical numbers are x = 0, x = ±2√2.

3. Check which critical numbers are within the given interval [-1, 2]:
Only x = 0 is within the interval.

4. Evaluate the function at the endpoints and critical numbers:
f(-1) = 3(-1)^5 - 20(-1)^3 = -23
f(0) = 0
f(2) = 3(2)^5 - 20(2)^3 = 96

5. Determine the maximum and minimum values on the interval:
The maximum value of f on the interval is 96, which occurs at x = 2.
The minimum value of f on the interval is -23, which occurs at x = -1.

The critical numbers for the function f(x) = 3x^5 - 20x^3 in the interval [-1, 2] are x = 0. The maximum value of f on the interval is 96, and the minimum value of f on the interval is -23.

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Answer:

1/2

Step-by-step explanation:

The height is just 67.05 feet, he will very likely reach the summit if he climbs 120° feet.

Height is defined in mathematics as the vertical distance from the object's top to its base. It is occasionally referred to as 'altitude.' The term height in geometry refers to the measurement of an object along the y-axis in coordinate geometry.

Height and elevation all refer to the vertical distance between the top and bottom of something or between a base and anything above it. Height refers to something measured vertically, whether it be high or low.

The height of the tree=x+y

And we get x=5.5 feet

tan 72°=y/20

y=20 tan72°

y=61.55

So, x+y=5.5+61.55

=67.05 feet

Feng's brother did not climb 120 feet because the tree was not that large.

Furthermore, because the height is just 67.05 feet, he will very likely reach the summit if he climbs 120° feet.

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The equation of the plane is:2x - 3y + 4z = 2.

Let's consider a line with the equation:(-1, 1, 2) + t(3, 0, -3), 0 ≤ t ≤ 1. The direction vector of this line is (3, 0, -3).

We must first find the normal vector to the plane that is perpendicular to the given plane.

The equation of the given plane is 2 - 3 + 4 = 0, which means the normal vector is (2, -3, 4).

As the required plane is perpendicular to the given plane, its normal vector must be parallel to the given plane's normal vector.

Therefore, the normal vector to the required plane is (2, -3, 4).

We will use the point (-1, 1,2) on the line to find the equation of the plane. Now, we have a point (-1, 1,2) and a normal vector (2, -3, 4).

The equation of the plane is given by the formula: ax + by + cz = d Where a, b, c are the components of the normal vector (2, -3, 4), and x, y, z are the coordinates of any point (x, y, z) on the plane.

Then we have,2x - 3y + 4z = d.

Now, we must find the value of d by plugging in the coordinates of the point (-1, 1,2).

2(-1) - 3(1) + 4(2) = d

-2 - 3 + 8 = d

d = 2

Therefore, the equation of the plane is:2x - 3y + 4z = 2

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The exact value of secθ secθ in simplest radical form is 106/81.

The length of the hypotenuse is the distance from the origin to the point (-9, 5):

√((-9)^2 + 5^2) = √(81 + 25) = √106

cosθ = adjacent/hypotenuse = -9/√106

Therefore, secθ = 1/cosθ = -√106/9.

In order to find the value of secθ secθ, we simply multiply secθ by itself:

secθ secθ = (-√106/9) * (-√106/9) = 106/81

The exact value of secθ secθ is 106/81.

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Answer:

(1, 3 )

Step-by-step explanation:

To find a solution choose a value for x, substitute into the equation and solve for y.

let x = 1 , then

- 7(1) + 3y = 2 , that is

- 7 + 3y = 2 ( add 7 to both sides )

3y = 9 ( divide both sides by 3 )

y = 3

One possible solution is therefore (1, 3 )

Answer:

Step-by-step explanation:

1 3

An exponential function can represent growth or decay.

The graph represents an exponential growth function is given by  \(y = ab^{x}\).

An exponential function is represented as:

\(y = ab^{x}\)

Where:

a represents any constant value.

b represents the growth or decay rate of the function

When the value of b is greater than 1, then the exponential function represents growth

Graph shown below represents an exponential growth function.

Hence, the graph representing an exponential growth function is graph traced by \(y = ab^{x}\).

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3x+31=4x-13

or, 31+13=4x-3x

or, 44 = x

The answer is 44.

Hope it helps.

ray4918 here

Answer:

\((3x + 31) = (4x - 13) \\ \\ 3x + 31 = 4x - 13 \\ \\ 4x - 3x = 31 - 13 \\ \\ x = 18\)

Vertical angel was equal each other