Simplify each expression.
[tex] \frac{2x - 16}{8x ^{3} + 56x {}^{2} } \times \frac{x + 7}{x ^{2} - 7x - 8 } [/tex]
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Answer:

From the info you give us it should be around 8.57 in. per book.

Step-by-step explanation:

5x12=60/7=8.57

Answer:

(ii) [tex] \frac{1}{2} - \frac{1}{3} [/tex]

(iii) [tex] \frac{25}{51} [/tex]

Step-by-step explanation:

Please see the attached picture for full solution.

To find the cos(40°), you can use the trigonometric identity sin²θ + cos²θ = 1. Since 50° and 40° are close angles, you can approximate the cos(40°) as 0.6393.

To find the cos(40°), we can use the trigonometric identity

sin²θ + cos²θ = 1.

Since we know that sin(50°) = 0.77, we can square this value to find the cos²(50°):

cos²(50°) = 1 - sin²(50°) = 1 - 0.77²

Simplifying, we get cos²(50°) ≈ 0.4089. Since cosine is positive in the first and fourth quadrants, the positive square root of this value gives us the cos(50°) ≈ 0.6393.

Therefore, we can approximate the cos(40°) as 0.6393 as well, since these are close angles.

Answer:

A

Step-by-step explanation:

It has the least amount of area cut out of it.

Answer:

The answer would be A

[tex]8x + 3(x + 5) - 5(x - 4) = 2 \\ 8x + 3x + 15 - 5x + 20 = 2 \\ 6x + 35 = 2[/tex]

Answer: A.

[tex]6x + 35 = 2[/tex]

Answer:

A

Step-by-step explanation:

8x + 3(x + 5) - 5(x - 4) = 2

Distribute the 3

8x  + 3*x +3*5 -5(x-4)=2

8x+3x+15 -5(x-4)=2

Distribute the -5

8x+3x+15 -5*x +-5*-4=2

8x+3x+15-5x+20=2

Combine like terms

8x+3x-5x+20+15=2

6x+35=2

So, A is the correct choice

Answer:

Step-by-step explanation:

Given that, the length of the chain is

L= 19m

And the mass of the chain is

M= 84kg

Work to raise the chains to a height of

H = 7m

Acceleration due to gravity

g = 9.8m/s²

Since the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = 4.42kg/m

So, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

So, workdone can be calculated using

Work = ∫F∆x

Work = ∫(W/L)•xdx.

Work = ∫43.33x dx. From x = 0 to 7

Work = 43.33 ∫x dx.

Work = 43.33 x²/2. From x = 0 to 7

Work = 21.66 [x²] from x = 0 to 7

Work = 21.66 ( 7²-0²)

Work = 21.66 × 49

Work = 1061.5 Joule

The workdone to lift the chain to 7m is 1061.5 J

"When work is done to lift the chain to 7m is 1061.5 J. To understand the calculations, check below".

Given that, the length of the chain as per the question is:

L= 19m

And also the mass of the chain is

Then M= 84kg

Now Work to raise the chains to a height of

After that H = 7m

Acceleration due to gravity

Then g = 9.8m/s²

Since When the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = [tex]4.42kg/m[/tex]

After that, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

Then, work done can be calculated using

Work is = ∫F∆x

Work is = ∫(W/L)•xdx.

Then Work = ∫43.33x dx. From x = 0 to 7

After that Work = 43.33 ∫x dx.

Now Work = 43.33 x²/2. From x = 0 to 7

Work is = 21.66 [x²] from x = 0 to 7

Work is = 21.66 ( 7²-0²)

Then Work = 21.66 × 49

Hence Work = 1061.5 Joule

Therefore, The work done to lift the chain to 7m is 1061.5 J

Find  more information about Acceleration due to Gravity here:

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Answer:

1 piece of fry

Step-by-step explanation:

Given:

You want to buy a milkshake and some fries. You look up prices for two different places.

Restaurant 1 sells milkshakes for $4 and fries for $1. Restaurant 2 sells milkshakes for $3 and fries for $2.

Question asked:

At what amount of fries bought will the restaurants be the same price?

Solution;

Let at [tex]x[/tex] amount of fries bought the restaurants will be the same price.

As you want to buy a milkshake and [tex]x[/tex] fries, the equation will be:-

For Restaurant 1

[tex]4+1\times x[/tex]

For Restaurant 2

[tex]3+2\times x[/tex]

Now, at [tex]x[/tex] amount of fries bought the restaurants will be the same price.

[tex]4+x=3+2x\\ \\ By\ subtracting\ both\ sides\ by\ 3\\ \\ 4-3+x=3-3+2x\\ \\ 4-3+x=2x\\ \\ 1+x=2x\\ \\ By\ subtracting\ both\ sides\ by\ x\\ \\ 1+x-x=2x-x\\ \\ 1=x[/tex]

Therefore, at 1 piece of fry bought the restaurants will be the same price.

Answer:

43.13 yd squared

Step-by-step explanation:

This is a figure composed of a semicircle and a right triangle.

Triangle:

The area of a triangle is denoted by A = (1/2) * B * h, where b is the base and h is the height. Here, the base is actually also the radius of the semicircle, which is 4. The height is 9. Plug these in: A = (1/2) * 4 * 9 = 36/2 = 18 yd squared.

Semicircle:

The area of a semicircle is denoted by A = [tex](1/2)\pi r^{2}[/tex], where r is the radius. Here the radius is 4. So: A = [tex](1/2)\pi *4^{2}=8\pi[/tex] ≈ 25.13 yd squared.

Adding these up: 18 + 25.13 = 43.13 yd squared

Hope this helps!

Answer:

43.12 yd²

Step-by-step explanation:

Semicircle + triangle

½×pi×r² + ½×b×h

½(3.14)(4²) + ½(4)(9)

43.12 yd²

Answer:

I think the answer is (x-4)2 + y2 = 12 :) sorry if i am wrong***

Step-by-step explanation:

Answer:

[tex]7.0248\sqrt{x}[/tex]

Step-by-step explanation:

We want to find the answer to the expression: [tex]\sqrt{\pi ^2*5x}[/tex]

We can easily calculate the product of the constants on the inside:

[tex]\sqrt{\pi ^2*5x}=\sqrt{49.348x}[/tex]

Now, we can split this radical into two:

[tex]\sqrt{49.348x}=\sqrt{49.348} *\sqrt{x} =7.0248\sqrt{x}[/tex]

Thus, the answer is [tex]7.0248\sqrt{x}[/tex].

Hope this helps!

Answer:

sqrt(5x) pi

Step-by-step explanation:

(pi² × 5x)^½

(pi²)^½ × (5x)^½

pi × sqrt(5x)

Answer: i realy cant tell but i think 6

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

We need to determine what we are adding each time.

Take the 2nd term and subtract the first term

-1 - (-8)

-1 +8 = 7

We add 7 each time

To find the 5th term, add 7 to the 4th term

the 4th term is 13

13+7 = 20

Answer:

20

Step-by-step explanation:

a = -8

d = -1 - (-8) = 7

An = a + (n - 1)d

A5 = -8 + (5 - 1)(7)

A5 = -8 + 28

20

Answer:

Step-by-step explanation:

270 degrees

The solution of a system of equations is (3,0).

A system of linear equations is a collection of one or more linear equations involving the same variables in mathematics. The system of linear equations appears to have a solution of (3, 0).

A linear equation is one in which the variable's maximum power is always 1.  The degree of the linear equation is always equal to one.

If a system of linear equations has two equations and a graph of these two equations intersect each other at (a,b), then the point (a,b) is the solution of that system of equations.

Since, the solution of a system of equations is (3,0), therefore on a coordinate plane, 2 lines intersect at (3, 0).

Therefore, the solution of a system of equations is (3,0).

To know more about the system of equations follow

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Final answer:

The system of linear equations with a solution of (3, 0) is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Explanation:

The student is asking which system of linear equations appears to have a solution of (3, 0). In the context of a coordinate plane, the solution to a system of linear equations is the point where the equations' graphs intersect. The given options describe where two lines intersect on different coordinate planes. Only the option stating 'On a coordinate plane, 2 lines intersect at (3, 0)' would represent a system where the solution is (3, 0). Therefore, the correct answer is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Answer:

1,350

Step-by-step explanation:

To find Surface Area you need to area of all the sides and add them

So to find one side of the cube you do L x H

So 15 x 15 = 225

Since all the sides of the cube are the same, you don't need to figure out the area of the other sides.

225 x 6 sides = 1,350

Hope this helped

Answer:

2,-2

Step-by-step explanation:

Its pretty simple, all you have to do is find opposite of y and put it.

Step-by-step explanation:

When you're determining the statistical validity of your data, there are four criteria to consider. Population: The reach or total number of people to whom you want to apply the data. ... Confidence: How confident you need to be that your data is accurate. Expressed as a percentage, the typical value is 95% or 0.95.

The total surface area of the cone is 7π square yards.

To find the total surface area of the cone, we need to find the lateral surface area and add it to the base area.

The lateral surface area of a cone is given by the formula πrℓ, where r is the radius and ℓ is the slant height.

In this case, the lateral surface area is 62.8 square yards and the slant height is 2 yards.

So, the lateral surface area of the cone is π(2)(2) = 4π square yards.

The base area of a cone is given by the formula πr^2, where r is the radius.

Since the slant height is given, we can use the Pythagorean theorem to find the radius. The radius is the hypotenuse of a right triangle with the slant height as one of the legs and the height of the cone as the other leg.

Using the Pythagorean theorem, we have r^2 = (2)^2 - (1)^2 = 4 - 1 = 3.

Therefore, the radius is √3 yards.

The base area of the cone is then π(√3)^2 = 3π square yards.

The total surface area of the cone is the sum of the lateral surface area and the base area, 4π + 3π = 7π square yards.

Answer:

-9<-3

Step-by-step explanation:

Since -3 is closer to 0 than -9, then -3 is the greater number.

Answer:

no. 7 does

Step-by-step explanation:

brainlest please

x increases by three each time but y decreases less each time

Answer:

it is 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

replace the values.

5(6) - 6(3)

Using PEMDAS, you would do multiplication first.

30 - 18

Next, subtraction.

12

Given:

In the given diagram

Each small box along X axis = 2 unit

Each small Box along Y axis = 2 unit

For rectangle:

Length = 16 unit

Width = 16 unit

For triangle 1

Base = 8 unit

Height = 6 unit

For triangle 2

Base = 8 unit

Height = 4 unit

For triangle 3

Base = 16 unit

Height = 12 unit

Formula

Area of the trapezoid is

[tex]A = R -T_{1} -T_{2} -T_{3}[/tex]

Where, [tex]A[/tex] be the area of the trapezoid

[tex]R[/tex] be the area of the rectangle

[tex]T_{1} ,T_{2} ,T_{3}[/tex] be the area of the triangle 1, 2 and 3 respectively.

[tex]R = lb[/tex] where, l be length and b the width

[tex]T_{1} = \frac{1}{2} bh[/tex], where, b be the base and h be the height

Now,

Taking, l = 16 and b = 16 we get,

[tex]R = (16)(16)[/tex] = 256 sq unit

For Triangle 1

Taking, b = 8 and h = 6 we get,

[tex]T_{1} = \frac{1}{2}(8)(6)[/tex] sq unit

[tex]T_{1} = 24[/tex] sq unit

For Triangle 2

Taking, b = 8 and h = 4 we get,

[tex]T_{2} = \frac{1}{2}(8)(4)[/tex] sq unit

[tex]T_{2} = 16[/tex] sq unit

For Triangle 3

Taking, b = 16 and h = 12 we get,

[tex]T_{3} = \frac{1}{2}(16)(12)[/tex] sq unit

[tex]T_{3} = 96[/tex] sq unit

Therefore,

The area of the trapezoid is = 256-24-16-96 sq unit = 120 sq unit

Hence,

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Answer:

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Step-by-step explanation:

Answer:

Two sets of vertical angles are formed.

Answer:

42/7 = x/3

7x = 126

x = $18 for washing 3 cars

Step-by-step explanation:

Answer:

y = 2x + 1

y = 4x - 1

Step-by-step explanation:

You haven't mentioned the question so, unfortunately I can't give you the answer.

The correct answer is that the system of equations has no solution.

To determine the solution to the system of equations, we need to compare the two equations

1. [tex]\( y = 2x + 1 \)[/tex]

2. [tex]\( y = 4x - 1 \)[/tex]

For a system of equations to have a solution, both equations must be satisfied simultaneously. This means that the values of [tex]\( x \) and \( y \)[/tex] that satisfy one equation must also satisfy the other equation.

Let's analyze the equations. Both equations are in slope-intercept form, [tex]\( y = mx + b \)[/tex], where m is the slope and b  is the y-intercept.

For the first equation, the slope is 2 and the y-intercept is 1. For the second equation, the slope is 4 and the y-intercept is -1 .

Since the slopes of the two lines are different (2 for the first line and 4 for the second line), the lines are not parallel. However, the y-intercepts are different as well (1 for the first line and -1 for the second line). This means that the lines are not the same line and they will never intersect because two lines with different slopes and different y-intercepts cannot meet.

Therefore, there is no point [tex]\( (x, y) \)[/tex] that satisfies both equations simultaneously, and the system of equations has no solution. This is an example of a system of linear equations that is inconsistent.

In conclusion, the system of equations given by [tex]\( y = 2x + 1 \)[/tex] and [tex]\( y = 4x - 1 \)[/tex] has no solution because the lines represented by these equations are neither parallel nor do they intersect.

Answer:

First answer and last

Step-by-step explanation:

Explanation on paper

I got the first and last right

Answer:

[tex]3\sqrt{1089}=3\sqrt{3^2(11)^2}[/tex]

Step-by-step explanation:

Given : Expression [tex]3\sqrt{1089}[/tex]

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

[tex]3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}[/tex]

[tex]3\sqrt{1089}=3\sqrt{3^2\times 11^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(3\times 11)^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(33)^2}[/tex]

[tex]3\sqrt{1089}=3\times 33[/tex]

[tex]3\sqrt{1089}=99[/tex]

The above are the possible equivalent expressions.

Answer:

A

Step-by-step explanation:

Answer:

((1 - 6) + 8) * 8

(1 - (6 - 8)) * 8

((1 + 8) - 6) * 8

(1 + (8 - 6)) * 8

8 * ((1 - 6) + 8)

((8 + 1) - 6) * 8

(8 + (1 - 6)) * 8

8 * ((1 + 8) - 6)

((8 - 6) + 1) * 8

(8 - (6 - 1)) * 8

8 * ((8 + 1) - 6)

8 * ((8 - 6) + 1)

There are 12 solutions above

HOPE I HELPED!!!

<3

Answer:

(8-6+1)8=24

Step-by-step explanation:

Use order of operations to solve