A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text? 36 characters 144 characters 360 characters 432 characters.

Step 1

Using the points (2,0) and (-2, -3), we get the slope is

\(\frac{-3-0}{-2-2}=\frac{3}{4}\)

Step 2

Using the point (2,0), the equation is

\(y=\frac{3}{4}(x-2)\)

Step 3

Using the distributive property, we get \(y=\frac{3}{4}x-\frac{3}{2}\).

Answer:

2

Step-by-step explanation:

3 1/2 × 4/7

7/2 × 4/7 = 28/14

28/14 = 2/1 = 2

Answer: C. Even with a higher income, Aiyana would not save.

Step-by-step explanation: When Aiyana increases her expenses for rent, car, and non-essentials, it means that she is allocating more of her income towards these categories.  As a result, her disposable income, or the amount of money left after paying for necessary expenses, would decrease.

If Aiyana's income remains the same and she increases her expenses, it would lead to a situation where her expenses exceed her income.  This would make it difficult for her to save money since she would be spending more than what she earns.

The equation that can be formed from the given set of numbers

1) (3 + 4) * 6 + 7 = 24

2) 3 + 4 * (6 + 7) = 24

3) 3 + 4 + 6 + 7 = 20, so (3 + 4 + 6 + 7) * 1 = 24

4) 3 * 4 * 6 * 7 = 168, so 168 / 7 = 24

Mathematical Operations :

The mathematical “operation” refers to calculating a value using operands and a math operator. The symbol of the math operator has predefined rules to be applied to the given operands or numbers.

Mathematical Equations :

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

BODMAS

According to the BODMAS rule, mathematical equations containing numerous operators must be resolved in the order of BODMAS, starting from the left.

Keep in mind that the order in which you perform the operations will affect the result. Parentheses are used to indicate the order in which operations should be performed.

In the first example above, the operation inside the parentheses (3 + 4) is done first, and then that result is multiplied by 6 and added to 7.

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3. 3x = 12

An open statement in math means that it utilizes variables, and can only be concluded as being "true" or "false". The problem would result in asking whether or not it is always true or not. In this case, x will be true when you plug in 4, however, it will not be true when you plug in any other number. Therefore, it is a closed statement that can be falsified.

4. Open.

The statement can be true if the variable g is 35, however, it is false if it is not. An open statement concludes that it may or may not be correct, thereby being open.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

5 hours

Step-by-step explanation:

she works 5 hours each dinner shift

Answer:

Option (D)

Step-by-step explanation:

Linear equations are in the form of y = mx + b

Here, m = slope of the linear function

b = y-intercept

Quadratic function → y = ax² + bx + c

By these properties, y - 6 = x² represents the quadratic equation which is non linear.

Therefore, Option (D) will be the correct option.

Answer:

( 3 - 3 )

Step-by-step explanation:

I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.

The value   of   x≥2  are: 2,4,5,6

Inequality—the state of not being equal, particularly in status, rights, and opportunities1—is central to social justice theories. However, it is prone to misunderstanding in public debate because it means different things to different people. Some distinctions, however, are universal.

An inequality compares two values to determine whether one is less than, greater than, or simply not equal to the other. a b indicates that a is not equal to b.

Given ,

2x - 4≥1

State the values of x within 1 and 6

2x - 4≥1

2x ≥ 1 +4

2x ≥ 5

Divide both sides by 2

2x/2 ≥  5/2

x = 2

(1,6) is an open interval which means that 1 and 6are not inclusive of the values of x.

So:

therefore the values of   x≥2  are: 2,4,5,6

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Answer:

(14,0)

Step-by-step explanation:

slope 10/5 or 2

Answer: If you want me to evaluate its 18x - 2

Hope it helped :D

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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Answer: 20,000$

Step-by-step explanation:

100,000$ - 40,000$ = 60,000$

There are 3 people so divide their money by the number of people.

60,000$ ÷ 3 = 20,000$

If A=(-8,9) and B=(4,4), using the formula for distance between two points, we get:

Therefore, the distance between A and B is 13 units

Formula for distance between two points:

Answer:

SSS

Step-by-step explanation:

Same Sides Subtract

The congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

The SSS Congruence Theorem is a theorem that proves that if one triangle has three sides that are congruent to the three corresponding sides of a another triangle, both triangles are congruent.

Thus, ΔBDA and ΔBDC both have three pairs of congruent corresponding sides, namely:

Therefore, the congruence theorem that can be used to prove that ΔBDA ≅ ΔBDC is: D. SSS

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Answer:

$65.475 ($65.48 rounded)

Step-by-step explanation:

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

\(14.55 * 4.5\)

The required points that are on the top for every rotation is,
90 clockwise                    =      A
90 counterclockwise       =     B , C
180 clockwise                   =     A , D
360 counterclockwise     =     A , D

Given that,
To determine, for each rotation, write the point or points that are the uppermost points of the rotated figure.

A quadrilateral is a four-sided shape as given in the picture in question.

Here,
For 90 clockwise,
Point A, will be on the top

For 90 counterclockwise|
The figure retraces its shape, so Point B and C be on the top,

For 180 clockwise,
Figure flip, the upper side will go down the side and the downside will go upper side
And point A and D will be on the top

360 counterclockwise

Point A and D remains on the top,

Thus, the required point that is on the top for the revolution of the figure is mentioned above.

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The statement "The number to the left of the parentheses is -3. Example: -3(2x+3)" is true.

Why is this statement true?

To answer this question, we must first understand what the term "number to the left of the parentheses" refers to.

In an expression of the form nx, where "n" is a number, x is a variable, and there is no addition or subtraction, the number to the left of the parentheses is "n."This is true since (-3)(2x + 3) is a term of the form "nx," where n = -3 and x = (2x + 3).

Therefore, the statement is true: "The number to the left of the parentheses is -3. Example: -3(2x+3)."

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Answer: \(\frac{\sqrt{2} }{2}\)

Step-by-step explanation: On the unit circle

Answer:

b

Step-by-step explanation:

If the pace kept was about 7/8 of the intented pace, that means the intended pace is 1 over 7/8 of the pace kept.

So if the pace was 10.4, the intended pace would be:

So the intended pace is 11.886, therefore the equation would be:

Essential security steps on all mobile devices include enabling device lock, keeping software updated, installing a reliable security app, and being cautious of app downloads.

On all mobile devices, the following are essential security steps:

1. **Enable Device Lock**: Set up a strong PIN, password, or biometric authentication (such as fingerprint or face recognition) to secure access to your mobile device. This step ensures that unauthorized individuals cannot gain access to your device if it gets lost or stolen.

2. **Keep Software Updated**: Regularly update the operating system (OS) and applications on your mobile device. Software updates often include security patches that address known vulnerabilities and protect against emerging threats. Enable automatic updates whenever possible to ensure you have the latest security enhancements.

3. Use a **Secure Lock Screen**: Choose a lock screen option that provides an extra layer of security, such as a PIN, password, or biometric authentication. This prevents unauthorized access to your device, even if it's momentarily left unattended.

Install a Reliable Security App**: Install a reputable mobile security app from a trusted source. These apps can help protect against malware, phishing attempts, and other security threats. They often include features such as antivirus scans, safe browsing, and anti-theft functionalities.

Enable Two-Factor Authentication**: Enable two-factor authentication (2FA) whenever possible, especially for important accounts like email, social media, or banking apps. 2FA adds an extra layer of security by requiring a second verification step, such as a unique code sent to your mobile device, in addition to your password.

Regularly Backup Data**: Backup your mobile device regularly to protect your data in case of loss, theft, or device damage. Utilize cloud-based services or external storage options to securely store your data off the device. Regular backups ensure that you can restore your information even if the device is compromised.

By following these essential security steps on all mobile devices, you can significantly enhance the protection of your personal information and mitigate potential security risks.

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Answer:

THE SLOPE IS 16

Answer: The slope is 16/1 which is just 16.

Step-by-step explanation:                                                                                                              

Answer:

r = 5.8

Step-by-step explanation:

\(V = \frac{4}{3} \pi r^3\)                             using π = 3.14

\(802 = \frac{4}{3} (3.14)(r^3)\)

\(802 = \frac{12.56}{3} r^3\)

\(\frac{3}{12.56} (802) = \frac{3}{12.56} r^3\)

\(191.5605096 = r^{3}\)

\(\sqrt[3]{191.5605096} = r\)

5.764593149 = r

 5.8 = r

Answer:

The answer is 1 1/4 or a.

Step-by-step explanation:

Basicallly percents are based of 100% so there is a 100% which would be a whole then there is only 25% and if you take 4 quarters and each quarter is 25 cents and there is 4 quarters in a whole that would be 1/4. You add the 1 whole and the 1/4 to get 1 1/4.

Hope this helps, tried to explain it in the best way I can.

The example of using blocking to emphasize dialogue and emotion is multiple characters grouped into small clumps around the stage. Therefore, the correct option is option 4.

This type of blocking creates a sense of intimacy and intensity as the characters are physically close to each other, emphasizing the emotional content of their dialogue. It also allows for individual characters to have their own space and focus, creating a sense of hierarchy and importance within the scene.

In contrast, the other options do not specifically use blocking to emphasize dialogue and emotion. Finding Nemo swimming closer to the screen during his monologue is simply a camera technique, while Donnie Darko walking during a scene and all of the characters on stage traveling in a clockwise pattern throughout the scene are examples of movement blocking, which may or may not emphasize dialogue and emotion depending on the context.

Therefore, the correct answer is option 4.

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