Awat Withdrawals $18 from his bank account once each day for five days what integer represents the change in amount in the account used pencil and paper find the true that would represent the changing them out the account if awat deposit $18 into his bank once each day for five days explain the difference between the integer for the withdraws and the integers for the deposit

Answer:

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

\( x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} \)   or   \( x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} \)

Step-by-step explanation:

\( 5x^2 - 2 = 4x \)

\( 5x^2 - 4x - 2 = 0 \)

\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)

\( x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)} \)

\( x = \dfrac{4 \pm \sqrt{16 + 40}}{10} \)

\( x = \dfrac{4 \pm 2\sqrt{14}}{10} \)

\( x = \dfrac{2 \pm \sqrt{14}}{5} \)

\( x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5} \)   or   \( x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5} \)

Answer:

Answer:

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

Step-by-step explanation:

5x^2 - 2 = 4x5x

2

−2=4x

5x^2 - 4x - 2 = 05x

2

−4x−2=0

x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}x=

2a

−b±

b

2

−4ac

x = \dfrac{-(-4) \pm \sqrt{(-4)^2 - 4(5)(-2)}}{2(5)}x=

2(5)

−(−4)±

(−4)

2

−4(5)(−2)

x = \dfrac{4 \pm \sqrt{16 + 40}}{10}x=

10

4±

16+40

x = \dfrac{4 \pm 2\sqrt{14}}{10}x=

10

4±2

14

x = \dfrac{2 \pm \sqrt{14}}{5}x=

5

2±

14

x = \dfrac{2}{5} + \dfrac{\sqrt{14}}{5}x=

5

2

+

5

14

or x = \dfrac{2}{5} - \dfrac{\sqrt{14}}{5}x=

5

2

−

5

14

When a scale factor of 1 to 50 centimeters is applied, the dimensions of the rectangle becomes 250cm and 150cm

A scale factor provides information of the rate at which an image would be enlarged or decreased. Looking at the scale factor provided in the question, the rectangle is being decreased because centimeters is smaller compared to meters.

A scale drawing is a reduced form in terms of dimensions of an original image / building / object. The scale drawing is usually reduced at a constant dimension using the scale factor.

To reduce the dimensions of the rectangle, multiply the scale factor by the given dimensions.

Length = 5 x 50 = 250cm

Width = 3 x 50 = 150cm

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Hello,

\(sin(45^o)=\dfrac{\sqrt{2} }{2} \\\\sin(45^o)=\dfrac{a}{c} \\\\\dfrac{\sqrt{2} }{2}=\dfrac{a}{6} \\\\a=6*\dfrac{\sqrt{2} }{2}=3\sqrt{2}\\\)

Answer A

The slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

According to the question.

A line passes through the two points (-2, 5) and (6, -4).

As we know that, the slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

So, the slope of the line = -4 -5/(6 + 2) = -9/8

And, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4) is given by

y = (-9/8)x + b

Since, the line passes through (-2, 5) and (6, -4). So, both the points must statisfy the above equation.

⇒ 5 = (-9/8)(-2) + b

⇒ 5 = 9/4 + b

⇒ b = 5 - 9/4

⇒ b = (20 - 9)/4

⇒ b = 11/4

Therefore, the slope intercept form of a line which passes through the points (-2, 5) and (6, -4)  is  y = (-9/8)x + 11/4.

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Answer:

6

Step-by-step explanation:

18×(3/6) = 918×(1/6) = 318×(2/6) = 6

a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880. This is because the reverse split reduces the number of outstanding shares by a factor of 10.

b. To determine the post-split price per share, we first need to calculate the total market capitalization of the corporation after the split. The total market capitalization is the product of the number of outstanding shares and the price per share.

Before the split, the market capitalization was:

35,608,800 shares * $0.41 per share = $14,597,008

After the split, the market capitalization is:

3,560,880 shares * x per share, where x is the post-split price per share.

Since this is a monetary non-event (as shown in part c below), the market capitalization after the split should be the same as the market capitalization before the split:

$14,597,008 = 3,560,880 shares * x per share

Solving for x, we get:

x = $4.10 per share

Therefore, the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation. The market capitalization before the split was $14,597,008, and after the split, the market capitalization was still $14,597,008. This means that the split did not change the value of the corporation. Instead, it simply consolidated the number of outstanding shares and increased the price per share by a factor of 10.  The overall value of the company remained the same.

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a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880.

b. the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation.

How to find splits?

a. After the 1-for-10 reverse split, the number of outstanding shares would be 3,560,880. This is because the reverse split reduces the number of outstanding shares by a factor of 10.

b. To determine the post-split price per share, we first need to calculate the total market capitalization of the corporation after the split. The total market capitalization is the product of the number of outstanding shares and the price per share.

Before the split, the market capitalization was:

35,608,800 shares * $0.41 per share = $14,597,008

After the split, the market capitalization is:

3,560,880 shares * x per share, where x is the post-split price per share.

Since this is a monetary non-event (as shown in part c below), the market capitalization after the split should be the same as the market capitalization before the split:

$14,597,008 = 3,560,880 shares * x per share

Solving for x, we get:

x = $4.10 per share

Therefore, the post-split price per share is $4.10.

c. This split was a monetary non-event for the corporation because it did not change the total market capitalization of the corporation. The market capitalization before the split was $14,597,008, and after the split, the market capitalization was still $14,597,008. This means that the split did not change the value of the corporation. Instead, it simply consolidated the number of outstanding shares and increased the price per share by a factor of 10.  The overall value of the company remained the same.

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Answer:

Total different numbers = 400

Step-by-step explanation:

Assume;

Smallest number bigger than 7999( multiple of 5) = 8,000

largest 4 digit number multiple of 5) = 9,995

Computation:

a = 8,000

d = 5

an = 9,995

an = a + (n-1)d

9,995 = 8,000 + (n-1)5

1,995 = (n-1)5

399 = n-1

n = 400

Total different numbers = 400

Answer:

24% can be written as 0.24 which is 24 / 100 or 6/25.

Answer:

6/25

Step-by-step explanation:

24%=0.24

0.24=24/100

Simplified: 6/25

The difference between the length and width of the garden is 2.55 yards.

Two or more expressions with an Equal sign is called as Equation.

Given that jan created a garden that was 8.5 yards long and 5.95 yards wide.

Length=8.5 yards

Width=5.95 yards.

We need to find the difference between the length and width of the garden.

8.5-5.95

Eight point five minus five point nine five

2.55

Hence,  the difference between the length and width of the garden is 2.55 yards.

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Answer:

mABC=130°

mEBD=130°

mABE=50°

Step-by-step explanation:

Answer:

6.324

Step-by-step explanation:

hope i helped you!!

Answer:

6.32

Step-by-step explanation:

d=√(2−8)^2+(−7−(−9))^2

d=√(−6)^2+(2)^2

d=√36+4

d=√40

d=6.324555

Answer:

10a - 11y

Step-by-step explanation:

3(2a - y) - 4(2y - a)

open the parenthesis

6a - 3y - 8y + 4a

combine like terms

6a + 4a - 3y - 8y

10a - 11y

Answer:

Step-by-step explanation:

total number of students=21

students play neither sport=6

students who play at least one sport=21-6=15

Let play basketball=X

and play baseball=Y

n(XUY)=n(X)+n(Y)-n(X∩Y)

15=11+6-n(X∩Y)

n(X∩Y)=17-15=2

reqd. probability=2/21

Answer: 1  7/24

Step-by-step explanation:

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

To solve this problem, we run a hypothesis test about the population proportion.

Proportion in the null hypothesis (p0) = 0.2

Sample size (n) = 75

Sample proportion (sp) = 24/75 = 0.32

Significance level = 0.01

\(H_{o}\) : p = 0.2

\(H_{a}\) : p ≠ 0.2

Test statistic percentage = ( \(sp\) - \(p_{o}\) ) / \(\sqrt{\frac{(p_{o})(1-p_{o} )}{n} }\)  

Left critical \(z_{0.01}\) = -2.5758

Right critical \(z_{0.01}\) = 2.5758

Calculated statistic = \(\frac{0.32-0.2}{\sqrt{\frac{(0.32)(1-0.32)}{75} } }\) = 2.2278

Since, -2.5758 < Test statistic < 2.5758, the null hypothesis cannot be rejected. There is not enough statistical evidence to state that the true proportion of grocery shoppers from Monday to Friday that goes most frequently on Fridays is different from 20%. The p - value is 0.0130.

Therefore,

The true percentage of grocery shoppers that shop most frequently on Fridays from Monday to Friday, which is 20%, cannot be determined statistically. The value of p is 0.0130.

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Answer:

Step-by-step explanation:

2x^2 - 2x + 3x^2 - 4x

5x^2 - 6x

Hey there!☺

\(Answer:\boxed{5x^2+2x+10}\)

\(Explanation:\)

\(2x^2-2x--3x^2+4x+10\)

First, simplify both sides:

\(2x^2+-2x+3x^2+4x+10\)

Now combine like terms:

\((2x^2+3x^2)+(-2x+4x)+(10)\\5x^2+2x+10\)

\(5x^2+2x+10\) is your answer.

Hope this helps!

Answer:

45/2

Step-by-step explanation:

ashjasdhkjasdha hello there

There are two people and there are 45 minutes to shoot the ball. As both people shoot for the exact same time, you have to divide 45 by 2 to split the time into two equal halves. Thus, the answer is 45 divided by 2, or just 45/2.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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To create a clean and minimalist look for a line graph, it is generally recommended to remove the gridlines, tick marks, and possibly the axis titles. These elements can clutter the graph and distract from the main focus, which is the data itself.

The primary objective of a line graph is to visually represent the data in a clear and concise manner. To achieve a clean look, it is often beneficial to remove unnecessary elements that do not contribute directly to the understanding of the data.

Gridlines, while they can assist in reading values, can create visual noise and make the graph appear cluttered. Removing gridlines allows the data points to stand out more prominently. Similarly, tick marks along the axes can be reduced or eliminated to minimize distractions and focus attention on the plotted data.

Axis titles, though important for providing context, may sometimes be redundant or self-explanatory based on the nature of the graph or if the data is accompanied by clear labels. If the graph is already labeled adequately, removing the axis titles can help create a cleaner and less cluttered appearance.

It's important to consider the specific context and intended audience of the graph. Adjustments should be made in a way that maintains clarity and readability while achieving a clean and visually appealing design.

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Answer:

Step-by-step explanation:

2x+6=x-4

x=-10

20x-8x=.....

It's important to note that we rounded to the nearest percent because the problem asked for the answer in this format. If we were to round to the nearest tenth of a percent, the answer would be 80.0%.

To calculate the percent increase from Mark's first run to his most recent, we need to first calculate the difference between the two runs. Mark ran 5 laps on his first day and 9 laps after several weeks of training, so the difference is 9 - 5 = 4 laps. To calculate the percent increase, we need to divide the difference by the original amount (5) and multiply by 100 to get the percentage. So the calculation would be:
(4/5) x 100 = 80%
Therefore, the percent increase from Mark's first run to his most recent is approximately 80%. This means that Mark has improved his running ability by 80% since his first day.

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To demonstrate that ΔKLM ≈ ΔEFG , we can use the SSS Similarity Theorem.

Given,

The ratio of the corresponding sides of the triangles ΔKLM  and ΔEFG;

KM/EG = 8/24 = 1/3

KL/EF = 6/18 = 1/3

ML/GF = 5/15 = 1/3

We have to prove that the triangles are similar using SSS or SAS similarity theorems;

SSS similarity theorem;

The two triangles are similar if all three sides of one triangle are in proportion to the three sides of another triangle.

SAS similarity theorem;

The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.

Here, the sides of the triangles are in proportion.

That is,

KM/EG = KL/EF = ML/GF = 1/3

Here,

We can consider SSS similarity theorem to prove that ΔKLM ≈ ΔEFG

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Answer:

the equation y= ax represents direct variation between x and y is said to vary directly with x. the nonzero constant a is called the constant of variation.

Step-by-step explanation:

I'm not sure if that's what you were asking for but there .

brainiest please.

The approximation range for the square root of 3 provided by Archimedes is quite good. The decimal value falls within the given range, demonstrating its accuracy.

What is Pi?

The reciprocal of the ratio of a circle's circumference to its diameter is known as pi (), a mathematical constant. Because it is irrational, it cannot be written as a fraction or a finite decimal. Pi has a value of roughly 3.14159, however it goes on forever without repeating any decimals.

To approximate the value of pi based on the inscribed figures, we can use the perimeter of the regular polygons as an approximation for the circumference of the unit circle.

Starting with a regular hexagon, we know its perimeter is 6. This is an approximation for the circle's circumference, 2 pi. Therefore, we can say that pi ≈ 6/2 = 3.

To calculate the perimeters of the subsequent inscribed polygons, we can double the number of sides each time. Let's go through the doubling process:

Hexagon: Perimeter = 6

Dodecagon (12-gon): Perimeter = 12

24-gon: Perimeter = 24

48-gon: Perimeter = 48

96-gon: Perimeter = 96

192-gon: Perimeter = 192

384-gon: Perimeter = 384

768-gon: Perimeter = 768

Now, we can use the formula for the perimeter of a regular polygon inscribed in a unit circle, which is given by:

Perimeter ≈ 2 * n * sin(π/n)

where n is the number of sides of the polygon.

Using this formula, we can calculate the approximate value of pi for each polygon:

Hexagon: pi ≈ 6/2 = 3.00 (as given)

Dodecagon: pi ≈ 12/(2 * sin(π/12)) ≈ 3.10582854123

24-gon: pi ≈ 24/(2 * sin(π/24)) ≈ 3.13262861328

48-gon: pi ≈ 48/(2 * sin(π/48)) ≈ 3.13935020305

96-gon: pi ≈ 96/(2 * sin(π/96)) ≈ 3.14103195089

192-gon: pi ≈ 192/(2 * sin(π/192)) ≈ 3.14145247229

384-gon: pi ≈ 384/(2 * sin(π/384)) ≈ 3.14155760791

768-gon: pi ≈ 768/(2 * sin(π/768)) ≈ 3.14158389215

As the number of sides increases, the approximation of pi becomes more accurate. The value of pi based on the inscribed 768-gon is approximately 3.14158389215.

Regarding Archimedes' approximation of the square root of 3, let's evaluate the range mentioned:

265/153 < √3 < 1351/780

To determine how good this approximation is as a decimal, we can calculate the actual value of the square root of 3 and compare it to the given range:

√3 ≈ 1.73205080757

Comparing this value to the range, we can see:

265/153 ≈ 1.73202614379

1351/780 ≈ 1.73205128205

Hence, the approximation range for the square root of 3 provided by Archimedes is quite good. The decimal value falls within the given range, demonstrating its accuracy.

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a) The solution for b in the equation 2b × 3 = 6 is b = 1.

b) The solution for b in the equation 32 - 3b = 2 is b = 10.

c) The solution for b in the equation 6 + 7b = 41 is b = 5.

d) The solution for b in the equation 100/5b = 2 is b = 10.

a) To solve for b in the equation 2b × 3 = 6, we can start by dividing both sides of the equation by 2 to isolate b.

2b × 3 = 6

(2b × 3) / 2 = 6 / 2

3b = 3

b = 3/3

b = 1

Therefore, the solution for b in the equation 2b × 3 = 6 is b = 1.

c) To solve for b in the equation 6 + 7b = 41, we can start by subtracting 6 from both sides of the equation to isolate the term with b.

6 + 7b - 6 = 41 - 6

7b = 35

b = 35/7

b = 5

Therefore, the solution for b in the equation 6 + 7b = 41 is b = 5.

b) To solve for b in the equation 32 - 3b = 2, we can start by subtracting 32 from both sides of the equation to isolate the term with b.

32 - 3b - 32 = 2 - 32

-3b = -30

b = (-30)/(-3)

b = 10

Therefore, the solution for b in the equation 32 - 3b = 2 is b = 10.

d) To solve for b in the equation 100/5b = 2, we can start by multiplying both sides of the equation by 5b to isolate the variable.

(100/5b) × 5b = 2 × 5b

100 = 10b

b = 100/10

b = 10.

Therefore, the solution for b in the equation 100/5b = 2 is b = 10.

In summary, the solutions for b in the given equations are:

a) b = 1

c) b = 5

b) b = 10

d) b = 10

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If it is arithmetic, find the common difference d; if it is geometric, find the common ratio r then thehe given sequence {3n - 5} is arithmetic, with a common difference of 3.

To determine whether the given sequence is arithmetic, geometric, or neither, we need to look at the pattern of the numbers. For an arithmetic sequence, there is a constant difference between each term. For example, in the sequence 2, 5, 8, 11, 14, the difference between each term is 3.

For a geometric sequence, there is a constant ratio between each term. For example, in the sequence 2, 6, 18, 54, 162, the ratio between each term is 3. Looking at the given sequence {3n - 5}, we can see that there is a common factor of n, which makes it a bit tricky to determine the pattern. However, we can still try to find a common difference or ratio by looking at the differences between terms.

Starting with the first two terms:
n=1: 3(1) - 5 = -2
n=2: 3(2) - 5 = 1

The difference between these terms is 3.
Continuing on:
n=3: 3(3) - 5 = 4
n=4: 3(4) - 5 = 7
The difference between these terms is also 3.
So we can conclude that the sequence is arithmetic, with a common difference of 3.

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Based on the information given the average speed for his trip is 64 miles.

Using this formula

d=rt

r=d/t

Where:

r=rate=?

d=distance=512 miles

t=time=8 hours

Let plug in the formula

r=512/8

r=64 miles

Inconclusion the average speed for his trip is 64 miles.

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Answer:

In order to solve this, we need to transform the equation into R = D/T

Plug in the numbers into this equation

R = 512/8

So after we divide these two numbers, we get an answer of 64 mph as Adam's average speed.

Answer:

$3,993

Step-by-step explanation:

Answe

Step-by-step explanation: