Please help for my homework

Answer:

a + 7

Step-by-step explanation:

x^2 + 2x - 8. on [5,a]

(f(a)-f(5))/( a - 5 )

(( a^2 + 2a - 8 ) - 27 ) / a - 5

( a^2 + 2a - 35 ) / a - 5

(a - 5)(a + 7) / a - 5

a + 7

Answer:

Subtracting polynomials is quite similar to adding polynomials, but there are those pesky "minus" signs to deal with. If the subtraction is being done horizontally, then the "minus" signs will need to be taken carefully through the parentheses

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true: the result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

The required volume of the solid generated when R is rotated about the y-axis is 144π.

Given that R is the region bounded by the curve y = √x and the lines x = 0 and y = 6. We are required to find the volume of the solid generated when R is rotated about the y-axis.Converting the given equation y = √x into x = y²and drawing the region R gives,Let A be the area bounded by the curve y = √x, x = 0 and y = 6 when rotated about the y-axis gives the solid bounded by the cylinder of radius 6 and height 6, and a half-sphere of radius 6.Because of the rotational symmetry, the volume generated by the region bounded by the curve y = √x and the lines x = 0 and y = 6 when rotated about the y-axis is twice the volume of the solid generated when the region bounded by the curve y = √x and the lines x = 0 and y = 6 is rotated about the x-axis.The volume of the solid generated when R is rotated about the y-axis= 2(A)Now, we have to evaluate the area A.A = ∫₀⁶ π y²dx∵ x = y²dy/dx = 2y∴ dx = dy/(2y)Putting the values of x and dx in the above expression, we getA = π ∫₀⁶ y⁴ dy/4∴ A = π[1/5(y⁵)]₀⁶∴ A = 72πThe volume of the solid generated when R is rotated about the y-axis= 2(A) = 2(72π) = 144πHence, the required volume of the solid generated when R is rotated about the y-axis is 144π.

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The relative error is approximately (26.545 / 2821.02) * 100 ≈ 0.94%, indicating a relative error of approximately 0.94% in the calculated surface area of the sphere due to the maximum error in the measured circumference.

The formula for the circumference of a sphere is given by C = 2πr, where C is the circumference and r is the radius. In this case, the measured circumference is 84 cm, so we have 84 = 2πr. Solving for r, we find r = 84 / (2π) ≈ 13.369 cm.

To estimate the maximum error in the calculated surface area, we can use linear approximation. The surface area of a sphere is given by A = 4πr^2. Taking the derivative of this formula with respect to r, we get dA/dr = 8πr.

Using the linear approximation formula ΔA ≈ (dA/dr) Δr, where ΔA is the change in surface area and Δr is the change in radius, we can estimate the maximum error in the calculated surface area. In this case, the possible error in the circumference is 0.5 cm, which translates to a possible error in the radius of Δr ≈ 0.5 / (2π) ≈ 0.0796 cm.

Substituting the values into the linear approximation formula, we have ΔA ≈ (8πr) Δr ≈ (8π)(13.369)(0.0796) ≈ 26.545 cm² as the estimate for the maximum error in the calculated surface area.

To estimate the relative error in the calculated surface area, we divide the maximum error (26.545 cm²) by the actual surface area (4πr²) and multiply by 100 to express it as a percentage. The actual surface area is A = 4π(13.369)^2 ≈ 2821.02 cm². Thus, the relative error is approximately (26.545 / 2821.02) * 100 ≈ 0.94%, indicating a relative error of approximately 0.94% in the calculated surface area of the sphere due to the maximum error in the measured circumference.

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Given:

A polynomial has a root of −2.

To find:

The factor that will divide evenly into the polynomial.

Solution:

We know that, if c is a root of a polynomial P(x), then (x-c) is a factor of polynomial P(x).

we have,

-2 is a root of polynomial.

⇒ (x-(-2)) is a factor of polynomial.

⇒ (x+2) is a factor of polynomial.

⇒ (x+2) will divide the polynomial completely.

Therefore, the factor (x+2) will divide evenly into the polynomial.

The factors of a polynomial divide the polynomial evenly, without remainder

The factor of the polynomial is x + 2

The root of the polynomial is given as:

\(\mathbf{Root = -2}\)

Assume the polynomial is a function of x.

i.e. the variable of the polynomial is x

Then the root can be represented as:

\(\mathbf{x= -2}\)

Add 2 to both sides

\(\mathbf{x + 2= -2 +2}\)

So, we have:

\(\mathbf{x + 2= 0}\)

Hence, the factor of the polynomial is x + 2

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Answer:

Answer:

Gracias por puntos!!!!!!!!!!!!

3x^2 6x^2 + 4x -8

2x. 9x^3 + 6x^2 -12x

x^2. 18x^2 + 12x - 24

6x^2. 3x^2 + 2x - 4

answer:

Explanation:

→ \(4(n+10) = 34\)

→ \(\frac{4(n+10)}{4} = \frac{34}{4}\)

→ n + 10 = \(\frac{17}{2}\)

→ n = \(\frac{17}{2} -10\)

→ n = \(\frac{17-20}{2}\)

→ n = \(\frac{-3}{2}\)

Answer:

\(\sf n=\dfrac{-3}{2}\)

Step-by-step explanation:

Given equation: 4(n + 10) = 34

Step 1: Expand the expression.

\(\sf \implies \boldsymbol{\sf 4(n + 10)} = 34\)

\(\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34\)

\(\sf \implies 4n + 40 = 34\)

Step 2: Subtract \(\sf 40\) from both sides and combine like terms.

\(\sf \implies 4n + 40 - 40 = 34 - 40\)

\(\sf \implies 4n = -6\)

Step 3: Isolate the variable (\(\sf n\)) (simply if necessary).

\(\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}\)

\(\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}\)

Answer:

-35 and 7

Step-by-step explanation:

7 - 35 = -28

35 has a (-) sign, and 7 has a (+) sign

Addition can be defined as the process of adding two numbers. The two integers with different signs that have a sum of -28 are -29 and 1.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

An integer is a number that can be written without using a fractional component.

Given that the two integers with different signs have a sum of -28. Therefore, we can write,

Hence, the two integers with different signs that have a sum of -28 are -29 and 1.

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Answer:

una stoy bien dias

Step-by-step explanation:

The number of miles Kianna trying to run by the end of the month is 40 miles.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Kianna is 75% of the way to achieving her goal and she has already run 30 miles.

Let the total number miles be x.

Now, 75% of x=30

75/100 ×x=30

0.75x=30

x=30/0.75

x=40 miles

Therefore, the number of miles Kianna trying to run by the end of the month is 40 miles.

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The equation of line which describe how x and y are related is,

⇒ y = 5x + 3

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the table are (-1, -2) and (0, 3).

Now,

Since, The equation passes through the points (-1, -2) and (0, 3).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (3 - (-2)) / (0 - (-1))

m = 5 / 1

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - (-2) = 5 (x - (-1))

⇒ y + 2 = 5 (x + 1)

⇒ y + 2 = 5x + 5

⇒ y = 5x + 5 - 2

⇒ y = 5x + 3

Therefore, The equation of line passes through the points (-1, -2) and

(0, 3) will be;

⇒ y = 5x + 3

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Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

Answer:

  B = (-1, 4)

Step-by-step explanation:

M = (A+B)/2

2M -A = B . . . . solve for B

__

B = 2(0, 3) -(1, 2) = (2·0 -1, 2·3 -2)

B = (-1, 4)

Constraints are simply the subjects of an objective function.

The inequality that represents the constraint is: \(12x + 6y \le 20\)

Represent the number of hats with x, and the number of scarves with y.

From the question, we have:

So, the equation of the total time spent is:

\(Time = 12x + 6y\)

This time spent is not more than 20 hours.

So, the inequality is

\(12x + 6y \le 20\)

Hence, the inequality that represents the constraint is: \(12x + 6y \le 20\)

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Answer:

Each person get 4 slice of pizza and 2 is remaining

Each boy will have run (18 - 6) / 2 = 6 laps and it will take x = 18 / 3 = 6 minutes for them to run the same distance.

What is the equation in one variable?

An equation in one variable is a mathematical expression that relates an unknown quantity to a known quantity through an equal sign (=). The unknown quantity is represented by a single variable, such as x or y, and the equation shows how that variable is related to the other terms in the expression.

Let's say the two boys run for x minutes. During this time, Cameron will have run 3x laps and Erik will have run 6x laps. When the two have run the same distance, the total number of laps run by each will be equal. Therefore, we can set up the following equation:

3x + 6x = Total Laps

9x = Total Laps

We know that Cameron had already run 6 laps, so we can add that to the total number of laps run by both boys:

9x + 6 = Total Laps

9x = Total Laps - 6

9x = Total Laps - 6

9x = Total Laps - 6

Therefore, each boy will have run (Total Laps - 6) / 2 laps. To find out how long that will take, we need to divide the number of laps run by each boy by their respective pace:

x = (Total Laps - 6) / 2 / 3 for Cameron

x = (Total Laps - 6) / 2 / 6 for Erik

We can equate the two values of x to find the time it will take for the two to run the same distance:

(Total Laps - 6) / 2 / 3 = (Total Laps - 6) / 2 / 6

Solving for Total Laps, we get:

Total Laps = 18

Hence, each boy will have run (18 - 6) / 2 = 6 laps and it will take x = 18 / 3 = 6 minutes for them to run the same distance.

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Answer:

if we assume that

tan = opp/adj

then we can find the hypotenus by using phytagoras law

h² = o² + a²

h² = (m-1)² + (2√m)²

h² = m² - 2m + 1 + 4m

h² = m² + 2m + 1

then we factorized become

h² = (m + 1)²

h = m+1

so for sin x = opp/hyp = (m-1)/(m+1)

hope this can help you.

Answer:

Hi! The correct answer is y = 5

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

the answer is 7,184.47

Step-by-step explanation:

A family of asteroids parallel to the x-y plane are represented by the ids. As the 3 plot with an asteroid, grid craves.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees. Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel. Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

Given

Substitute V = k to determine the grid cells that correspond to V as a constant.

A family of asteroids parallel to the x-y plane are represented by the ids.

As the 3 plot with an asteroid, grid craves.

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If 4 in has a force of 50 applied. The pressure is 12.5N/m².

Using this formula to find the pressure

Pressure = Force /Area

Where:

Force = 50

Area =4

Let plug in the formula

Pressure = 50/4

Pressure = 12.5 N/m²

Therefore the pressure is  12.5 N/m².

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Answer:

The coordinates of the vertices of ∆X′Y′Z′:

Step-by-step explanation:

Given the triangle △XYZ with the vertices

It is stated that △XYZ is translated up 3 units to form the image ∆X′Y′Z′.

Translating 3 units UP means we have to add 3 units to all the y-coordinates of the coordinates of the vertices X, Y, and Z to generate the image ∆X′Y′Z′.

Thus,

THE RULE OF TRANSLATING 3 UNITS UP:

P(x, y) → P'(x, y+3)

Therefore, the coordinates of the vertices of ∆X′Y′Z′ will be:

X(-4, 6) → X'(-4, 6+3) → X'(-4, 9)

Y(1, 6) → Y'(1, 6+3) → Y'(1, 9)

Z(1, 1) → Z'(1, 1+3) → Z'(1, 4)

Thus, the coordinates of the vertices of ∆X′Y′Z′:

Answer:

y = -3x + 6

Step-by-step explanation:

please just ignore this part .. rise over run i guess

Answer:

y=-3x+6

Step-by-step explanation:

to find the slope you will use the two-point form--> y2-y1/x2-x1

3-6/-3-0= -9/3

-9/3= -3

so -3 is your slope and don't forget to add the x

the y-intercept will be 6 since the x-axis is 0

Hope this helps

Answer:

-15u^2

Step-by-step explanation:

Answer:

10+1=11 but the 55 so it is now 11:55+15min so it makes it 12:10

Answer:

Hello! The answer to your question is 12:10.

Step-by-step explanation:

1 hour after 10:55 is equivalent to 11:55. Now, we have 15 minutes remaining. We can add in increments of 5 to get to 15 in terms of time:

11:55 + 5 minutes

= 12:00 + 5 minutes

= 12:05 + 5 minutes

= 12:10

5 + 5 + 5 = 15, so we reached 15.

The teacher collected the answer scripts at 12:10.

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

\( \frac{ 36+{w}^{2}x}{4w} \)

\( \frac{ {d}^{3} + 6 }{3 {d}^{2} } \)

\( \frac{2 {m}^{3} - 27}{12m} \)

\( \frac{ {x}^{5} - 2 }{w {x}^{2} } \)