what is (-oo,-11) U (5,oo)​

Answer:

y=10

Step-by-step explanation:

1

Rearrange terms

5

+

=

1

5

+

5

=

1

5

2

Subtract

5

5

5

from both sides of the equation

+

5

=

1

5

+

5

−

5

=

1

5

−

5

3

Simplify

Subtract the numbers

Subtract the numbers

Solution

=10

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad N(\stackrel{x_2}{5}~,~\stackrel{y_2}{-8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PN=\sqrt{(~~5 - 1~~)^2 + (~~-8 - (-1)~~)^2} \implies PN=\sqrt{(5 -1)^2 + (-8 +1)^2} \\\\\\ PN=\sqrt{( 4 )^2 + ( -7 )^2} \implies PN=\sqrt{ 16 + 49 } \implies PN=\sqrt{ 65 }\implies PN\approx 8.06\)

Title: Echoes of Legacy

In the depths of history, my ancestor Emma stepped forward with a photograph in her hands. The image revealed a scar on her cheek, a reminder of her resilience.

Title: Echoes of the Past

I had always been fascinated by the old family photograph that hung on the wall. It depicted a man with rugged features, a scar running across his weathered face, and a distant look in his eyes. That man was my ancestor, Samuel McAllister, and it was time for me to step into his world and uncover the mysteries that lay within.

As I closed my eyes, the world around me faded away, and I found myself transported to the 19th century. It was a time of great turmoil, an era defined by the echoes of war and whispers of change. Samuel, a resilient and courageous man, had ventured into the unknown, leaving behind a life of familiarity to seek adventure and fortune in the American West.

Samuel's journey took him through vast landscapes, from bustling cities to untamed frontiers. He encountered characters as diverse as the land itself, from cowboys to Native Americans. Each encounter left an indelible mark on his spirit, shaping him into a man of empathy and understanding.

One evening, as Samuel set up camp beneath a star-studded sky, a ghostly presence appeared before him. It was a specter, translucent and ethereal, silently beckoning him to follow. Filled with curiosity and a sense of foreboding, Samuel pursued the apparition through moonlit forests and winding canyons.

The ghost led him to a hidden cave, its walls adorned with ancient symbols and forgotten tales. In that sacred space, Samuel discovered a hidden treasure—a trove of knowledge passed down through generations. He realized that he had stumbled upon a portal to the past, a bridge connecting him to his ancestors and their wisdom.

Armed with newfound insight, Samuel returned to civilization, but his journey was far from over. He faced personal demons and fears, wrestling with his own identity and the weight of responsibility. Yet, through it all, he carried the spirit of his ancestors within him, drawing strength from their stories and the legacy they left behind.

Samuel's adventures were not without hardship. He witnessed the brutality of war, experienced heartbreak, and confronted his own mortality. But in those moments of adversity, he discovered resilience and compassion, traits that defined his character.

The scar on his face became a symbol of his resilience—a reminder of the battles fought, both physical and emotional. It served as a testament to the scars we all carry, visible or hidden, and the strength that lies within us to overcome adversity.

As I opened my eyes, I realized that I had lived through Samuel's experiences, even if only in my imagination. Through his story, I had unearthed a deeper connection to my roots, understanding the sacrifices and triumphs that shaped my family's legacy.

Samuel's journey continues to resonate within me, a reminder of the importance of embracing our past, exploring our fears, and celebrating the extraordinary within the ordinary. His story lives on, echoing through the corridors of time, inspiring future generations to embark on their own quests of self-discovery and adventure.

Word Count: 546 words

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Answer:

6.79

Step-by-step explanation:

6.79 x 10 = 67.9

The unknown number z would be 6.79

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

WE have been given that 67.9 is ten times as much as unknown number;

Let the unknown number be z;

Z x 10 = 67.9

Now divide by 10 on both sides, we get;

Z = 67.9/10

Z = 6.79

Therefore,

6.79 x 10 = 67.9

Hence, the unknown number z would be 6.79

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The number of watts will be 4700 watts to the nearest 100 watt.

It should be noted that 1 watt equals to 3.41 Btu per hour.

In this case, the air conditioner is rated at 16000 BTU per hour.

Therefore, the number of watt will be:

= 16000/3.41.

= 4692

= 4700 watts to the nearest 100 watt.

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Simplifying

10x + -8 = ax + b

Reorder the terms:

-8 + 10x = ax + b

Solving

-8 + 10x = ax + b

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1ax' to each side of the equation.

-8 + -1ax + 10x = ax + -1ax + b

Combine like terms: ax + -1ax = 0

-8 + -1ax + 10x = 0 + b

-8 + -1ax + 10x = b

Add '8' to each side of the equation.

-8 + -1ax + 8 + 10x = 8 + b

Reorder the terms:

-8 + 8 + -1ax + 10x = 8 + b

Combine like terms: -8 + 8 = 0

0 + -1ax + 10x = 8 + b

-1ax + 10x = 8 + b

Reorder the terms:

-8 + -1ax + -1b + 10x = 8 + b + -8 + -1b

Reorder the terms:

-8 + -1ax + -1b + 10x = 8 + -8 + b + -1b

Combine like terms: 8 + -8 = 0

-8 + -1ax + -1b + 10x = 0 + b + -1b

-8 + -1ax + -1b + 10x = b + -1b

Combine like terms: b + -1b = 0

-8 + -1ax + -1b + 10x = 0

The solution to this equation could not be determined.

Answer:

a = 10 and b = 8

Step-by-step explanation:

comparing the two equations

Step-by-step explanation:

The width of each interval is Δx = (4−1)/6 = 1/2.

a) Evaluate the function at the beginning and end of each interval.

f(x) = 7√(ln x)

f(1) = 7√(ln 1) = 0

f(1.5) = 7√(ln 1.5) ≈ 4.4573300

f(2) = 7√(ln 2) ≈ 5.8278823

f(2.5) = 7√(ln 2.5) ≈ 6.7006153

f(3) = 7√(ln 3) ≈ 7.3370295

f(3.5) = 7√(ln 3.5) ≈ 7.8348826

f(4) = 7√(ln 4) ≈ 8.2418702

Calculate the area of each trapezoid.

T₁ = ½ (0 + 4.4573300) (1/2) = 1.1143325

T₂ = ½ (4.4573300 + 5.8278823) (1/2) = 2.5713031

T₃ = ½ (5.8278823 + 6.7006153) (1/2) = 3.1321244

T₄ = ½ (6.7006153 + 7.3370295) (1/2) = 3.5094112

T₅ = ½ (7.3370295 + 7.8348826) (1/2) = 3.7929780

T₆ = ½ (7.8348826 + 8.2418702) (1/2) = 4.0191882

The total area is therefore:

T = 1.1143325 + 2.5713031 + 3.1321244 + 3.5094112 + 3.7929780 + 4.0191882

T = 18.139337

b) Evaluate the function at the midpoint of each interval.

f(1.25) = 7√(ln 1.25) ≈ 3.3066651

f(1.75) = 7√(ln 1.75) ≈ 5.2365230

f(2.25) = 7√(ln 2.25) ≈ 6.3036165

f(2.75) = 7√(ln 2.75) ≈ 7.0404861

f(3.25) = 7√(ln 3.25) ≈ 7.5996115

f(3.75) = 7√(ln 3.75) ≈ 8.0477348

Calculate the area of each rectangle.

M₁ = (3.3066651) (1/2) = 1.6533325

M₂ = (5.2365230) (1/2) = 2.6182615

M₃ = (6.3036165) (1/2) = 3.1518082

M₄ = (7.0404861) (1/2) = 3.5202431

M₅ = (7.5996115) (1/2) = 3.7998057

M₆ = (8.0477348) (1/2) = 4.0238674

The total area is therefore:

M = 1.6533325 + 2.6182615 + 3.1518082 + 3.5202431 + 3.7998057 + 4.0238674

M = 18.767318

c) Simpson's rule can be calculated as:

S₆ = Δx/3 [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + 4f(x₅) + f(x₆)]

S₆ = (1/2)/3 [0 + 4(4.4573300) + 2(5.8278823) + 4(6.7006153) + 2(7.3370295) + 4(7.8348826) + 8.2418702]

S₆ = 18.423834

Answer:

I think is 15 dollars.

Step-by-step explanation:

each pound cost 1.5 multiply it by 10

Answer:

$15

Step-by-step explanation:

4 pounds are $6

10pounds are $?

1 pound would be $1.5, because 6/4 = 3/2= 1.5

If one pound is 1.5 dollars, 10 pounds would be 10*1.5=$15

Answer:

\(\frac{dy}{dx}\) = - 21\(x^{6}\) + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\)

Given

y = - 3\(x^{7}\) + 2x³ + x , then

\(\frac{dy}{dx}\) = (7 × - 3 )\(x^{6}\) + (3 × 2)x² + (1 × 1 )\(x^{0}\)

    = - 21\(x^{6}\) + 6x² + 1

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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Answer:

whats the queston ;-;

Step-by-step explanation:

Answer:

In 2 2/5 hours, he will cover 20 km.

Step-by-step explanation:

Given that,

Ahmed can 8 1/3 km in one hour.

We need to find the distance he cover in 2 2/5 h.

In 1 hour = 8 1/3 km = 25/3 km

2 2/5 hour means 12/5 hour

In 12/5 hour = 12/5 × 25/3 km

= 20 km

So, in 2 2/5 hours, he will cover 20 km.

Answer:

168

Step-by-step explanation:

168+8+4=180

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer:

Explanation;

To simplify the above, we have to take the square root of both sides;

Since the radicand, 29, can not be reduced further, therefore the solution is;

Answer:

a ) 60

b) 10

c) 45

d) -5

e) 111

Step-by-step explanation:

use a calculator

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:

3 hours ......... ........

Answer:

\(a_{16} = 121\).

Step-by-step explanation:

To go from the first term \(a_{1}\) of this sequence to the second term \(a_{2}\), add \(d\) to \(a_{1}\!\).

To go from the first term \(a_{1}\) of this sequence to the third term \(a_{3}\), add \(2\, d\) to \(a_{1}\!\).

In general, going from the first term \(a_{1}\) of an arithmetic sequence to the \(k\)th term, add \((k - 1)\, d\) to \(a_{1}\!\).

Thus, given an arithmetic sequence with \(a_{1}\) as the first term and \(d\) as the common difference, the \(k\)th term of this sequence would be \(a_{k} = a_{1} + (k - 1)\, d\).

In this question, \(a_{1} = 1\) and \(d = 8\) for this arithmetic sequence. The \(16\)th term of this sequence would be:

\(\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}\).

Answer: A and C

Step-by-step explanation:

The best way to perform a randomized experiment is to C. Randomly select 40 regions from all regions throughout the country, and have the restaurants in those regions stop selling the current hamburger.

It should be noted that a randomized experiment simply means a study sample that is divided into a group that will receive the intervention that's being studied.

In this case, the best way is to randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.

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Answer:

2

Step-by-step explanation:

produces a straight line

Hello! :)

y=2x-5 is written in slope-intercept form (y=mx+b)

m is the slope, and b is the y-intercept.

So the slope of this line is 2. Hope it helps. Please ask if you have any query.

~An excited gal

\(MagicalNature\) here to help

Answer:

\(\frac{3}{6} =\frac{7}{6+x}\)

Step-by-step explanation:

There are two similar triangles in this figure. The small one has a base of 6 and a height of 3.

The bigger triangle has the smaller one included in it, so you must add together the bases, 6 and x, and the heights, 3 and 4, to get the proportion.

Answer:

О   \(\frac{5^{4} }{3^{10} }\)

Step-by-step explanation:

(5⁻² * 3⁵) ⁻²

= 1 / (5⁻² * 3⁵)²

= 1 / ((5⁻²ˣ²)(3⁵ˣ²))

= 1 / ((5⁻⁴)(3¹⁰))

= 5⁴ / 3¹⁰

Answer:

The coupon is 19 cedis I am now in a class

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer:

Gretta's Contribution = $52,500

Interest = $125,588.79

Step-by-step explanation:

Gretta contributes $125 each month, for 35 years. Therefore, to find the amount she contributed, we multiply those pieces together (12 months in each year).

125 x 12 x 35 = $52,500

Therefore, over the 35 years, Gretta contributed $52,500.

If there was $178,088.79 in her account, and she contributed $52,500, then the rest is interest.

$178,088.79 − $52,500 = $125,588.79

There was $125,588.79 in interest earned on Gretta's account.