What is the answer to the.
-2(x - 5) = 6(2- 1/5x) and show me how you solved it

The probability that a point chosen at random on AE is on AB is 5/9 in its most simplified form.

To find the probability that a point chosen at random on AE is on AB, we need to find the length of AB and AE and then divide the length of AB by the length of AE.

Let's first find the length of AB and AE.

From the number line, we can see that AB is the segment between -2 and 3. So, the length of AB is:
AB = 3 - (-2) = 5

Similarly, we can see that AE is the entire segment from -2 to 7. So, the length of AE is:
AE = 7 - (-2) = 9

Now, we can find the probability that a point chosen at random on AE is on AB by dividing the length of AB by the length of AE:
Probability = AB / AE = 5 / 9

Therefore, the probability that a point chosen at random on AE is on AB is 5/9 in its most simplified form.

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Answer:

the slope is 30 and it represents the total cost of the repair dont know 2 number 3 is for 10 hours he got paid 320 $ 4 ,270 $, 5,15.6

Step-by-step explanation:

Answer:

$65.475 ($65.48 rounded)

Step-by-step explanation:

The word "per" is usually a trigger-word for multiplication. So, we multiply.

\(14.55 * 4.5\)

As per the volume of a rectangular prism, it is found that 34.76% of the container is empty.

Volume of a rectangular prism

The volume of the rectangle prism is calculated by multiplying the length, breadth and height of the prism.

The formula for the volume of rectangle prism is

V = l x w x h

where

l represents the length

w represents the width

h represents the height

Given,

A shipping container is in the form of a right rectangular prism, with dimensions of 30 ft by 8 ft by 7 ft 3 in.

Here we need to find if the container holds 1096 cubic feet of shipped goods, what percent is empty

According to the given question,

Let us consider the length is 30ft, Width is 8ft and Height is 7ft.

Here the value 3ft refers the depth.

That one is also multiplied with the volume.

Therefore, the volume of the container is

=> 8 x 7 x 30

=> 1680

Therefore, the volume of the container is 1680 cubic feet.

So, here we have to percentage of the empty space for that we have to find the difference of them and convert it into percentage,

=> 1680 - 1096

=> 584

The percent of empty space is,

=> x% of 1680 = 584

=> x% = 584/1680

=> x% = 0.3476

=> x = 34.76

Therefore, 34.76% of rectangular prism container is empty.

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490

472 <490<500

it fits the criteria

The dimensions of a horizontal cross-section will vary depending on the specific shape or object being considered.

To determine the dimensions of a horizontal cross-section, we need more specific information about the object or shape in question.

A horizontal cross-section refers to a slice or cut made parallel to the horizontal plane.

The dimensions of a horizontal cross-section will depend on the shape or object being sliced. For example, if we have a rectangular prism, a horizontal cross-section would result in a rectangle.

The dimensions of this rectangle would be equal to the dimensions of the corresponding face of the prism.

If we have a cylindrical object, a horizontal cross-section would result in a circle. The dimensions of this circle would be determined by the radius or diameter of the cylinder.

It is essential to provide more information about the shape or object to determine its corresponding horizontal cross-section dimensions.

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Answer:

b=0.5

and the other part is:

B.) The graph shows exponential decay

D.) The graph shows y=2^x reflected over the y-axis

Step-by-step explanation:

i just did this problem on edge 2020

Answer: 0.5, B&D

Step-by-step explanation:

Answer:

2x-3=3x+6 is the right answer

Solution

We want to find the area of the triangle given te sides

b = 20

a = 29

c = 21

Note: Hero formula for calculating the Area of a Triangle

We will first find S

To find the Area

Therefore, the area is

Step-by-step explanation:

In a parallelogram, opposite sides are equal and parallel. Therefore,

QT = PS = 3y ...(1)

PT + TR = PS

y + 2x + 1 = 3x + 9

2x - y = 4 .....(2)

PR = QT = 3y

PR = SQ = 3x + 9 ....(3)

From equations (1) and (3), we can see that:

3y = 3x + 9

y = x + 3

Substitute this value of y in equation (2):

2x - (x + 3) = 4

x = 7

To find the value of y, we can substitute x = 7 in equation (2):

2(7) - y = 4

y = 10

Therefore, x = 7 and y = 10.

the easiest way to find the median is to arrange the data in numerical order,

Arrange the data in numerical order: 18, 22, 25, 30, 35, 40

Count the number of data points in the dataset: 6 data points

The dataset has an even number of data points, the median is the average of the two middle values. (27.5)

The median is a measure of central tendency that tells us the middle value of a dataset. It is an important measure of central tendency because it is not affected by outliers or extreme values.

Arrange the data in numerical order. This is important because the median is the middle value of the dataset and it is easier to find when the data is in order.

Count the number of data points in the dataset. If the dataset has an odd number of data points, the median is the middle value. For example, if the dataset has 7 data points, the median would be the 4th value.

If the dataset has an even number of data points, the median is the average of the two middle values. For example, if the dataset has 8 data points, the median would be the average of the 4th and 5th values.

For example, let's say we have a dataset of the ages of 5 people: 20, 25, 30, 35, 40

Arrange the data in numerical order: 20, 25, 30, 35, 40

Count the number of data points in the dataset: 5 data points

The dataset has an odd number of data points, the median is the middle value. (30)

Another example: let's say we have a dataset of the ages of 6 people: 18, 22, 25, 30, 35, 40

In conclusion, the easiest way to find the median is to arrange the data in numerical order, count the number of data points and if the dataset has an odd number of data points, the median is the middle value. If the dataset has an even number of data points, the median is the average of the two middle values.

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Answer:

45 yards

Step-by-step explanation:

Formula to find area of rectangle: Length * Width

Given:

Length = 70 yards

Area = 3,150 yards

Width = 3,150/70

        ==> 45 yards

Width = 45 yards

Answer:

4.2

Step-by-step explanation:

Yes

Answer:

it would be A

Step-by-step explanation:

places are capitalized, an the first letter of a sentence is always capitalized

The width of the lawn must be 13 ft. The result is obtained by using the area of the factory as a quadratic equation.

On a lot measuring 78 ft by 104 ft, a factory surrounded with the lawn is to be build. Tha lawn has uniform width and the area of the lawn is equal to the area of the factory building.

Find the width of the lawn that must be build!

Let's say:

The dimension of the factory:

See the illustration picture in the attachment!

The total area is

A = 78 ft × 104 ft

A = 8,112 sq ft

Since the factory area is equal to lawn area, the factory area is

A₀ = 8,112/2 = 4,056 sq ft

Use the area of the factory arranged as a quadratic equation to find x!

Width × Length = A₀

(78 - 2x) × (104 - 2x) = 4,056

8,112 - 156x - 208x + 4x² = 4,056

4x² - 364x + 4,056 = 0

x² - 91x + 1014 = 0

(x - 13) (x - 78) = 0

x = 13 or x = 78

Since the width of the lot is 78 ft, the width of the lawn must be less than that. So, the solution that makes sense is x = 13 ft.

Hence, the width of the lawn surrounding the factory is 13 ft.

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The expression \(64 - x^2\) is equivalent to (8 + x)(8 - x).

The expression \(64 - x^2\) can be simplified using the difference of squares formula, which states that \(a^2 - b^2\)  is equal to (a + b)(a - b).

Applying this formula to the given expression, we have:

\(64 - x^2 = (8^2) - x^2\)

Using the difference of squares formula, we can rewrite this expression as:

(8 + x)(8 - x)

Therefore, the expression \(64 - x^2\)  is equivalent to (8 + x)(8 - x).

This expression represents the difference of two squares, where the value 8 is squared and subtracted by the value x squared.

When simplified, it becomes the product of the sum and difference of the terms 8 and x.

It is worth noting that (8 + x)(8 - x) is a special product known as a difference of squares because it follows a specific pattern of multiplication.

This expression is useful for factoring and simplifying quadratic expressions, as it allows us to rewrite them in a more manageable form.

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Let's start solving the expression using the product to sum formulae.

Here's the given expression,

\[\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3}\]

Using the product-to-sum formula,

\[\sin A \cos B=\frac{1}{2}[\sin (A+B)+\sin (A-B)]\]

Applying the above formula in the first term,

\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3} &= \frac{1}{2} \left[\sin \left(\frac{x}{3}+\frac{2 x}{3}\right)+\sin \left(\frac{x}{3}-\frac{2 x}{3}\right)\right] \\&= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]\end{aligned}\]

Using the product-to-sum formula,

\[\cos A \sin B=\frac{1}{2}[\sin (A+B)-\sin (A-B)]\]

Applying the above formula in the second term,

\[\begin{aligned}\cos \frac{x}{3} \sin \frac{2 x}{3}&= \frac{1}{2} \left[\sin \left(\frac{2 x}{3}+\frac{x}{3}\right)-\sin \left(\frac{2 x}{3}-\frac{x}{3}\right)\right] \\ &= \frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right]\end{aligned}\]

Substituting these expressions back into the original expression,

we have\[\begin{aligned}\sin \frac{x}{3} \cos \frac{2 x}{3}+\cos \frac{x}{3} \sin \frac{2 x}{3} &= \frac{1}{2} \left[\sin x+\sin \left(-\frac{x}{3}\right)\right]+\frac{1}{2} \left[\sin x-\sin \left(\frac{x}{3}\right)\right] \\ &=\frac{1}{2} \sin x + \frac{1}{2} \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\\ &= \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)\end{aligned}\]

Therefore, the given expression can be written in terms of a single trigonometric function as:

\boxed{\sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right)}

Hence, the required expression is \sin x - \frac{1}{2} \sin \left(\frac{x}{3}\right). The solution is complete.

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The difference of squares for the expression \(x^{2}\) + 11 does not yield any complex factors.

The difference of squares is a factorization technique used to factorize quadratic expressions of the form \(a^2 - b^2\). However, in the case of the expression x^2 + 11, it cannot be factorized using the difference of squares method to obtain complex factors.

To understand why, let's consider the general form of the difference of squares:\(a^2 - b^2\)= (a + b)(a - b). In this case, a is x and b is the square root of 11. However, since the square root of 11 is an irrational number, it cannot be expressed as a simple product of complex numbers. Therefore, the expression \(x^{2}\) + 11 cannot be factored into complex factors using the difference of squares method.

In conclusion, the expression \(x^{2}\)+ 11 does not have complex factors that can be obtained through the difference of squares factorization technique.

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Answer:

Step-by-step explanation:

Sum of all angles of a triangle = 180

x + 64 + x + 45 + 79 = 180

Combine like terms.

2x + 188 = 180

2x = 180 - 188

2x = - 8

x = -8/2

x = -4

x + 64 = -4 + 64 = 60

x  + 45 = -4 + 45 = 41

Step-by-step explanation:

We know that the sum of all angles of a triangle is 180 °.

x + 45 + x + 64 + 79 ° = 180 °.

combine like terms

x + x + 64 + 45 + 79 ° = 180 °

2 x + 188 ° = 180 °

Subtract

2 x = 180 ° - 188 °

2 x = - 8 °

Divide

x = -8 ° / 2

x = - 4 °

x + 45 = - 4° + 45 ° = 41°

x + 64 = - 4° + 64 ° = 60 °

The volume of a rectangular pyramid is given by:

Where:

a = 4m

b = 5m

h = 3m

Substitute the values:

Answer: 20 cubic meters

Answer:

25.157

Step-by-step explanation:

28-2.843=25.157

The product of the two polynomials is (8x³)(4x⁷) = 32x¹⁰.

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Answer:

D

Step-by-step explanation:

D

Answer:

Step-by-step explanation:

hahah

The distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.

Given that,

We have to find the distance between the points (3,5) and a line with the equation 5x-3y+10=0.

We know that,

We have a formula that is

Let (x₁, y₁) be the point and ax + by + c = 0 be the line.

Then the distance between a point and a line will be

d=|ax₁+by₁+c|/√(a²+b²)

Here,

(x₁,y₁)=(3,5)

a=5, b=-3 and c=10

So, substituting

d=|5(3)+(-3)(5)+10|/√(5²+(-3)²)

d=|15-15+10|/√25+9

d=|10|/√34

d=10/√34

Therefore, the distance between the points (3,5) and a line with the equation 5x-3y+10=0 is 10/√34 units.

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Based on the survey results, a reasonable estimate of the number of computers owned by residents in the town is between 2.02 (2.42 - 0.4) and 2.82 (2.42 + 0.4). The margin of error of ±0.4 indicates that the estimate is likely to be within this range.

Sure! So, the survey of 120 households in the town found that the average number of computers in a household was 2.42. However, because this was a sample survey and not a complete census of all households in the town, there is some level of uncertainty in the estimate.

The margin of error of +-0.4 means that we can be 95% confident interval that the true average number of computers in households in the town falls within the range of 2.02 (2.42 - 0.4) and 2.82 (2.42 + 0.4).

So, a reasonable estimate of the number of computers owned by residents in the town would be around 2.42, but with a range of 2.02 to 2.82.

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It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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Answer: 452.16

Step-by-step explanation:

area of circle= πr² where r is the radius

the value of the radius is squared and multiplied by pi, i.e.. 3.14.

Answer:

12, 1260

Step-by-step explanation:

Andrew paid $10 for a burger. The burger had a discount of 20%. This means that the $10 is 80% of the original price.

100% - 80% = 20%

To find the original price, you can multiply by 120%

10 * 120% = 12

Abby Matthews needs to mark up a refrigerator that costs $900 to 140% of the original price. To do this, you can directly multiply.

900 * 140% = 1260

Answer:

173/5000

Step-by-step explanation:

Tell me if correct

Answer:

91/2500

Step-by-step explanation:

Step 1:

0.03460/1

Step 2:

0.346/10

Step 3:

3.46/100

Step 4:

34.6/1000

Step 5:

346/10000

Answer:

91/2500

Hope This Helps :)

Answer:

30.67 pounds

Step-by-step explanation:

21.6 pounds + 9.07 pounds = 30.67 pounds