Let-((-3,2).(0,4),(2,0) and gx) = -x (10 pts) Find (-3) + (-3) 9 10. Find f(1) = 11. Find x if g(x) = 0 Solve the system 12. -3x-4y=7 7 9x=8-12y (6 pts)

Answer: 19.6 feet

Step-by-step explanation:

Using the Pythagorean theorem,

\(x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6\)

Answer:

Point F is at -3

Step-by-step explanation:

Answer:

1.05678988E31

Step-by-step explanation:

Answer:

Domain is all real numbers greater than or equal to 7. Range is all real numbers greater than or equal to 9.

Step-by-step explanation:

The domain is possible x-values while the range is possible y-values. This question look like

\( \sqrt{x - 7} + 9\)

The domain of square root function cant have a the radical inside being a negative number because we can't take the sqr root of a negative number and graph it on a cartisean plane We can take the sqr root of 0 . So we set x-7=0. And which x=7 so the domain is all real numbers that are equal to or greater than 7. The range of a sqr root function can only yield any positive y-values. So we must find the lowest point of it. Since the lowest x value we can possible use is 7 we plug it in

\( \sqrt{7- 7} + 9\)

which equals 9. So the range is all real numbers greater than or equal to 9.

Answer:

I think that the short answer will be C) on edge.

Step-by-step explanation:

Edge 2021.

A: \(3x^2y^4\cdot2x^6y=6x^8y^5\)

B: \(xz^3\cdot4x^4z^5=4x^5z^8\)

C: \(4a^3^2\cdot 3a^6b^5=12a^{15}b^5\)

D: \(6s^{5t}\cdot s^{4t}^2=6s^{16t^2+5t}\)

There was some ambiguity you posed with such exponents but I assumed strictly.

Hope this helps.

Answer:

B. 4

Step-by-step explanation:

4x + 5 = 21

1. move the 5 over to the 21 side. since its moving to the opposition side you change the 5 into -5.

4x = 21 - 5

2. then you do 21 - 5 which equals to 16

4x = 16

3. then you do 4 divided by what equals to 16 which is 4 so,

x = 4

The recent fervor surrounding personal privacy has a significant impact on direct marketing and promotions, particularly in the context of email advertising and collecting information at events.

As you design a campaign, it is essential to consider and address these privacy concerns to build trust and ensure compliance with relevant regulations. Here are some key considerations:

Consent and Permission: Obtain explicit consent from individuals before sending them marketing emails or collecting their personal information at events.

Implement clear opt-in mechanisms and provide transparency regarding the purpose and use of their data.

Privacy Policies: Clearly communicate your privacy policies, outlining how you collect, store, and use personal information.

Make it easily accessible to individuals and ensure compliance with applicable data protection laws, such as the General Data Protection Regulation (GDPR) or the California Consumer Privacy Act (CCPA).

Data Security: Implement robust data security measures to protect the personal information you collect. This includes encryption, secure storage, and regular data audits to mitigate the risk of data breaches.

Data Minimization: Only collect the necessary information required for your marketing campaign. Minimize the data you collect to reduce privacy risks and ensure compliance with the principle of data minimization.

Opt-out Options: Provide individuals with clear and simple mechanisms to opt out of receiving marketing emails or having their data collected. Respect their preferences and promptly honor any opt-out requests.

Third-Party Data: Be cautious when using third-party data sources for your marketing campaigns. Ensure that the data providers have obtained proper consent and comply with privacy regulations.

Personalization and Relevance: Focus on delivering personalized and relevant content to individuals based on their preferences and interests. This can help build trust and engagement while respecting privacy boundaries.

By considering these factors and addressing personal privacy concerns, you can develop a campaign that respects individuals' privacy rights, builds trust, and maintains compliance with privacy regulations.

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Answer:

8 x (10-7)

80-56

24

Let me know if this helps!

The probability of one of three students being accepted to a program while the other two are not accepted is 3.2%, or 1.5:1, which is equivalent to a 66.7% chance.

The probability of one of three students being accepted to a program while the other two are not accepted can be calculated by dividing the total number of favorable outcomes by the total number of possible outcomes.

To calculate this, we need to know the probability of each individual student being accepted. For example, if the probability of each student being accepted is 0.2, the probability of one student being accepted while the other two are not would be (0.2)x(1-0.2)x(1-0.2), or 0.032. This would be written as a 3.2% chance.

The probability of one student being accepted while the other two are not can also be calculated using a permutation formula. The formula for this is

P(n,r) = n!/(n-r)!,

where n is the total number of students and r is the number of students accepted.

In this case, n = 3 and r = 1. So, P(3,1) = 3!/2! = 3/2 = 1.5.

This means that there is a 1.5:1 ratio of one student being accepted while the other two are not. This is equal to a 66.7% chance.

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Answer:

if i am right it 260

Step-by-step explanation:

The police should be concerned with only one crime scene, which is the location of the abduction.

The police should be immediately concerned with one crime scene, which is the location where the 12 year old girl was abducted from. A crime scene is a location where a crime has occurred or was suspected of having occurred. Investigators and law enforcement officials will gather and analyze physical evidence found at the scene of a crime to help determine what occurred, who was involved, and whether or not a crime has been committed. In this case, the location where the 12 year old girl was abducted from is the crime scene.

The police have done the investigation and identified the van used in the abduction, which was registered to Roger P. Anderson of 1594 Maple Drive. However, the location of the registered owner of the van is not considered a crime scene until evidence that links them to the crime scene is found. Thus, the police should be concerned with only one crime scene, which is the location of the abduction.

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The cost of each corsage is $22 and each boutonniere costs $21.

Last year, Brittany made $621 from the sale of 12 corsages and 17 boutonnieres.

and, she made $754 this year by selling 19 corsages and 16 boutonnieres.

Where,

X = cost of one corsage

Y = cost of one boutonniere

Make y the subject of equation (1)

y = (621 - 12x)/17

Put this value of y in equation (2)

Therefore,

19x + 16((621 - 12x)/17) = 754

19x + (9936 - 192x)/17 = 754

(323x + 9936-192x)/17 = 754

131x + 9936 = 12818

131x = 12818 - 9936

131x = 2882

x = 2882/131

x = 22

So, the cost of one corsage is $22.

Now, put this value of x in equation (1)

12 × 22 + 17y = 621

264 + 17y = 621

17y = 621 - 264

y = 357/17

y = 21

The cost of one boutonniere is $21.

The cost of each corsages and boutonnieres are $22 and $21.

The complete question is:

Brittany has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 12 corsages and 17 boutonnieres, which brought in a total of $621. This year, she sold 19 corsages and 16 boutonnieres, for a total of $754. How much does each item sell for?​

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Answer:

I believe that the answer is C: 72 cm²

Answer:

27 + 10d

Step-by-step explanation:

Answer:

10d+27

Step-by-step explanation:

Rearrange terms

3

(

9

+

2

)

+

4

3

(

2

+

9

)

+

4

2

Distribute

3

(

2

+

9

)

+

4

6

+

2

7

+

4

3

Combine like terms

6

+

2

7

+

4

1

0

+

2

7

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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Answer:

Concept: Mathematical Comprehensive

General notes:

Answer:

40

Step-by-step explanation:

All the explanation and steps are in the photo I attatched

Answer:

50 + 10s > 20 + 15s

Step-by-step explanation:

This is the answer because if James pays for 1 shirt from company C he would be paying $60, but if he were to pay for 1 shirt at company D he would be paying $35. So that's why its >. Anyway, the s goes on the second number because that's the price for every shirt, And the first number is by itself because its a one-time printing fee.

Answer:

Step-by-step explanation:

Sales tax is assessed on total sales on behalf of the government.

Answer:

A percentage of total sales that is collected on behalf of the state, county, or local government

Step-by-step explanation:

Where else would the taxes go?

The area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

The normal distribution function, also known as the Gaussian distribution or bell curve, is a probability distribution that is symmetric, bell-shaped, and continuous. It is defined by two parameters: the mean (μ) and the standard deviation (σ).

The normal distribution is widely used in statistics and probability theory due to its many desirable properties and its applicability to various natural phenomena. It serves as a fundamental distribution for many statistical methods, hypothesis testing, confidence intervals, and modeling real-world phenomena.

To find the area under the standard normal curve to the left of z = 2.06, you can use a standard normal distribution table or a calculator with a normal distribution function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Using a standard normal distribution table, the area to the left of z = 2.06 can be found by looking up the corresponding value in the table. However, since the standard normal distribution table typically provides values for z-scores up to 3.49, we can approximate the area using the available values.

The closest value in the standard normal distribution table to 2.06 is 2.05. The corresponding area to the left of z = 2.05 is 0.9798. This means that approximately 97.98% of the area under the standard normal curve lies to the left of z = 2.05.

Since z = 2.06 is slightly larger than 2.05, the area to the left of z = 2.06 will be slightly larger than 0.9798.

Therefore, rounding the answer to four decimal places, the area under the standard normal curve to the left of z = 2.06 is approximately 0.9803.

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Answer:

Area of a circle = 3.14 X radius X radius

= 3.14 X 4.5 X 4.5 = 63.585 m2

Hope this helps....

Answer:

V represents final velocity

MORE TO KNOW -

Answer:

You have 50 lb of sand, and you are pouring this into a wagon.

We have the relationship:

y = 10lb*x

Where x is the number of bags of sand that you poured into the wagon.

We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)

The minimum will be when x = 0, you poured 0 bags at this point.

And the maximium will be when y = 50lb

y = 50lb = 10lb*x

     50lb/10lb = x = 5

Then the domain is 0 ≤ x ≤ 5

Then we only will graph this in that range of values.

The graph will be something like:

Answer:

When adding or subtracting a constant outside the radical sign, it only affects the overall value of the expression, but not the square root itself. The square root symbol only applies to the value inside it, so any constant added or subtracted outside will not change the result of the square root. For example:

√(9 + 4) = √9 + √4 = 3 + 2 = 5

√(9) + 4 = 3 + 4 = 7

As you can see, adding or subtracting a constant outside the radical sign only changes the final result of the expression, but not the value inside the square root.

Answer:

the effect is when graphing the constant determines how far up or down to move it, compared to the original parent function.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract second equation from first equation to eliminate x

2x+6y-2x+10y=17-9

16y=8

y=1/2, use either original equation to solve for x

2x+6y=17 becomes

2x+6(1/2)=17

2x+3=17

2x=14

x=7 so the solution is the point (7, 1/2)

We can multiply the first by -2 and add it to second equation to eliminate x.

-2(3x-4y)+6x+3y=-2(-10)-42

-6x+8y+6x+3y=20-42

11y=-22

y=-2 using 3x-4y=-10 becomes

3x-4(-2)=-10

3x+8=-10

3x=-18

x=-6 so the solution is the point (-6,-2)

So you should be able to see how to solve the other two.

Answer:

Question 1: x = 7, y = \(\frac{1}{2}\)

Question 2: x = -6, y = -2

Question 3: x = -1, y = 9

Question 4: There is no solution.

The day the two bags will have the same weight is the 24th day.

The linear equation that can be used to determine the pound of dog food left is:

Amount of dog food left = capacity of the bag - (number of days x amount the dog eats per day)

Amount of dog food left = 34 - (1 x p)

Amount of dog food left = 34 - 1p

The linear equation that can be used to determine the pound of cat food left is:

Amount of cat food left = capacity of the bag - (number of days x amount the cat eats per day)

Amount of cat food left = 16 - (1/4 x p)

Amount of cat food left = 16 - 1/4p

On the day the two bags will have the same weight, the two above equations would be equal:

16 - 1/4p = 34 - 1p

p - 1/4p = 34 - 16

3/4p = 18

p = (18 x 4) / 3

p = 24 days

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the probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

How to solve the question?

To calculate the probability that a randomly selected part-time student has a gym membership, we need to use conditional probability. Specifically, we need to use Bayes' theorem:

P(Gym Membership | Part-Time) = P(Part-Time | Gym Membership) * P(Gym Membership) / P(Part-Time)

Where:

P(Gym Membership | Part-Time) is the probability that a student has a gym membership given that they are part-time.

P(Part-Time | Gym Membership) is the probability that a student is part-time given that they have a gym membership.

P(Gym Membership) is the overall probability of a student having a gym membership (regardless of whether they are full-time or part-time).

P(Part-Time) is the overall probability of a student being part-time (regardless of whether they have a gym membership).

Let's start by filling in the values we know from the table:

P(Part-Time) = (40 + 25) / 155 = 0.5484

P(Gym Membership) = (30 + 25) / 155 = 0.3226

P(Part-Time | Gym Membership) = 25 / (30 + 25) = 0.4545

To find P(Gym Membership | Part-Time), we need to calculate P(Part-Time and Gym Membership). We can use the formula:

P(Part-Time and Gym Membership) = P(Part-Time | Gym Membership) * P(Gym Membership)

Plugging in the values we know, we get:

P(Part-Time and Gym Membership) = 0.4545 * 0.3226 = 0.1463

Now we can use this value, along with P(Part-Time) and P(Gym Membership), to calculate P(Gym Membership | Part-Time):

P(Gym Membership | Part-Time) = 0.1463 / 0.5484 ≈ 0.2667

Therefore, the probability that a randomly selected part-time student has a gym membership is approximately 0.2667 or 26.67%.

It's worth noting that this result is based on the assumption that the sample of 155 students is representative of the larger population of the university. If there are any biases or other factors that make this sample unrepresentative, then our calculated probability may not be accurate. Additionally, the results could be affected by other factors, such as the cost of gym membership or the availability of on-campus fitness facilities.

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Answer:

With that amount of butter she can make 26 pies.

For each pie she spends $1.13625 of butter.

Step-by-step explanation:

We first need to convert the total amount of butter she has from pounds to cups, to do that we need to multiply by 2, since for each pound she has 2 cups of butter, therefore:

butter in cups = 10*2 = 20 cups

Since each pie requires 3/4 cups of butter in order to calculate the number of pies she can make we need to divide the total amount of butter she has by the amount required for each pie. We have:

number of pies = total butter in cups / butter for one pie

number of pies = 20 / (3/4) = 20*(4/3) = 80/3 = 26.667

Since she can't make 0.66 pies, we will need to take only the integer part in consideration, therefore she can make 26 pies.

In order to know the cost for each pie we first need to know the cost for each pound of butter, to calculate that we take the total amount paid by her and divide it by the amount of butter she got.

price of butter per pound = 30.3/10 = 3.03

So each pound of butter costs $3.03 and is equivalent to 2 cups, we can make a rule of three to find the cost for each pie as shown below:

2 cups -> $3.03

3/4 cups -> $x

2/(3/4) = 3.03/x

2*(4/3) = 3.03/x

8/3 = 3.03/x

8x = 9.09

x = 9.09/8 = $1.13625

For each pie she spends $1.13625 of butter.