is (-3, -4) and (5, -1) a negative slope

Answer:

This is not a function

Step-by-step explanation:

take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.

Answer:

6

Step-by-step explanation:

Since SU is a bisector 62 degrees is equal to 2x 5x+1

62=2(5x+1)

62=10x+2

60=10x

6=x

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

When two variables are perfectly negatively correlated with each other, the correlation coefficient will be -1. This means that when one variable increases, the other variable decreases in a perfect inverse relationship.

When two variables are perfectly negatively correlated, it means that their relationship is described by a linear regression line that has a negative slope. This means that for every unit of increase in one variable, there is a corresponding unit of decrease in the other variable.

The correlation coefficient measures the degree of linear relationship between two variables, with a value between -1 and 1. A correlation coefficient of -1 means that the two variables are perfectly negatively correlated, meaning that when one variable increases, the other decreases.

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The probability that a mother is a carrier is approximately 0.018.

The Hardy-Weinberg equilibrium formula can be used to determine the frequency of alleles in a population, as well as to make predictions about the probability of certain traits occurring in the next generation. In this case, we are interested in determining the probability that a mother is a carrier of a particular disease, given that the frequency of the disease is 1/4300.

To use the Hardy-Weinberg formula, we need to know the frequency of both the dominant and recessive alleles in the population. Assuming that the disease allele is recessive (i.e., carriers are heterozygous), we can represent the frequency of the disease allele (q) as

\(q = \sqrt{(1/4300)} = 0.004644.\)

To determine the frequency of carriers (heterozygotes), we can use the formula p * q * 2,

where p represents the frequency of the dominant allele (which is equal to 1 - q in this case).

Therefore:

\(p = 1 - q \\ = 1 - 0.004644 = 0.995356\\q = \sqrt{(1/4300} = 0.004644\\p * q * 2 =0.018\)

Approximately 1.8% of the population will be carriers of the disease allele. This means that the probability that a mother is a carrier is approximately 0.018.

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The step of the five-step model of decision-making that includes studying the positives and negatives of a list of possible solutions to a problem is rate alternatives on the basis of decision criteria (option d).

In this step, after generating multiple alternatives (step a) and identifying and weighing decision criteria (step b), the focus shifts to evaluating each alternative. The decision criteria are used as a framework to assess the alternatives and determine their strengths and weaknesses. This involves studying the positives and negatives of each alternative in relation to the established criteria.

By examining the alternatives based on the decision criteria, decision-makers can gain a comprehensive understanding of the potential outcomes and consequences associated with each option. This analysis allows for an informed comparison of the alternatives, facilitating the selection of the most suitable solution.

Once the alternatives have been rated and evaluated in light of the decision criteria, decision-makers can proceed to the subsequent steps of the model, such as choosing, implementing, and evaluating the best alternative (step c). The correct option is d.

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The complete question is:

Which step of the five-step model of decision-making includes studying the positives and negatives of a list of possible solutions to a problem?

a. generate multiple alternatives

b. identify and weigh decision criteria

c. choose, implement, and evaluate the best alternative

d. rate alternatives on the basis of decision criteria

Answer:

0.0045%

Step-by-step explanation:

0.0045 is not a fraction so it is a decimal already.

Answer:

0.000045

Step-by-step explanation:

good luck!

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. Malcolm's family travels 65 miles per hour faster than Theo's family.

The equation d=65t models the distance, d, that Malcolm's family travels after t hours. To calculate how much faster Malcolm's family travels than Theo's family, we must first know the speed of Theo's family. Let's say Theo's family travels at 25 miles per hour. To calculate the difference in speed between the two families, we must subtract 25 mph from 65 mph. The difference is then 40 mph, meaning Malcolm's family travels 40 mph faster than Theo's family.

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The total number of red marbles in the vase are 10.

A ratio is described as a comparison between two amounts with the same unit to determine the amount of 1 quantity is contained in the other. Ratios are divided into two sorts.

The first is a part-to-part ratio, and the second is a part-to-whole ratio. The part-to-part ratio expresses the relationship between 2 separate entities or groupings.

Now, according to the question;

Let 'x' be the red marbles in the vase.

Let 'y' be the orange marbles in the vase.

The total number of marbles in the vase are 60

x  + y = 60 (equation 1)

The ratio of red marbles to orange ones is 1:5.

Thus, x/y = 1/5

cross multiplying;

5x = y

or y = 5x

substitute the value of y in equation 1;

x  + y = 60 (equation 1)

x  + 5x = 60

6x = 60

x = 10  (red marbles)

Thus, the number of red marbles in the vase are 10.

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The probability that the date sara chose is a prime number is 0.2.

Given that, sara chose a date from the calendar.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, total number of outcomes = 30

Number of favourable outcomes = 6

Now, probability = 6/30

= 1/5

= 0.2

Therefore, the probability that the date sara chose is a prime number is 0.2.

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Answer:

Step-by-step explanation: Replace u with (3)

Multiply 5x3+3/2

Answer: 9

Step-by-step explanation:

remember, a variable is only a placeholder for an actual value.

so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.

6.

25/(r - 4) for r = 9

that means

25/(9 - 4) = 25/5 = 5

7.

(5u + 3)/2 for u = 3

that means

(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9

Given:

Fixed cost = $150

Additional cost = $22.50

To find:

The equation that showing the cost of the gala depends on the number of attendees.

Solution:

Let x be the number of attendees and y be the cost of the gala.

Total cost = Fixed cost +Variable cost

We have,

Fixed cost = $150

Variable cost = Additional cost × Number of attendees

                      = \(22.50\times x\)

                      = \(22.50x\)

Total cost of gala is:

\(y=150+22.50x\)

Therefore, the required equation is \(y=150+22.50x\).

Answer:

(-2,4] and [7,α)

Step-by-step explanation:

the domain is open at -2 but closed at 4 and also closed at 7 but open till infinity..

The domain of the given function is (-2,4] U [7, ∞), which is the correct option (B).

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = x²+1 if (-2,0]

This the sub-function define between the interval (-2,0].

f(x) = -1 if (0, 4]

This the sub-function define between the interval (0, 4].

f(x) = -(x-7)² if [7, ∞)

This the sub-function define between the interval [7, ∞).

Thus, the domain of the given function is (-2,4] U [7, ∞).

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Answer:

This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.

Answer:

It is 3 and 1/3 divided by 2/3.  None of the choices given work.

Hope it helps <3

Answer:

-55

Step-by-step explanation:

Answer:

x=2x-5

Im pretty sure that's it

Principal steps in the design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

- Phases are broad groupings of tasks.

- Steps are tasks (work to be performed).

- Techniques are ways to carry out tasks.

- Deliverables are the understanding (or materials) produced during task accomplishment.

- Each phase is itself composed of a series of steps, which rely upon techniques that produce deliverables (specific documents and files that provide understanding about the project).

Principal steps in the Design Phase:

Design Strategy

- Determining proper approach for acquiring

System architecture

- Describing basic hardware, software, and networking

User interface

- Developing system's overall structure, navigation, inputs, outputs, and screens

Database and file specifications

- Specifying data storage structures

Program Design

- Plans and outlines for each program to be written

So,

Principal steps in the Design phase are Design Strategy, System Architecture, User Interface, Database and File Specification and Program Design, The Major deliverables are System Specification.

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The required,
A. Expression by factoring out the greatest common factor is 3xy(2x - 1 - 8y + 4y),
B.  The completely factored form of the expression 6x²y - 3xy - 24xy²+ 12y² is (2x - 1)(3xy - 12y²).

Part A: To factor out the greatest common factor (GCF) from the expression 6x²y - 3xy - 24xy² + 12y², we need to find the common factors of all the terms.

The common factors are 3, x, y.

Taking out the GCF, we have:

GCF: 3xy

Rewritten expression: 3xy(2x - 1 - 8y + 4y)

Part B: Now let's factor the entire expression completely.

Given expression: 6x²y - 3xy - 24xy² + 12y²

Group the terms:

(6x²y - 3xy) + (-24xy² + 12y²)

Factor out the GCF from each group:

3xy(2x - 1) - 12y²(2x - 1)

Notice that we now have a common binomial factor, (2x - 1).

Factor out the common binomial factor:

(2x - 1)(3xy - 12y²)

Therefore, the completely factored form of the expression 6x²y - 3xy - 24xy²+ 12y² is (2x - 1)(3xy - 12y²).

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a) The prime implicants by selecting the implicants that cover a min term that is not covered by any other implicant.

In this case, we see that the implicants ACD and ABD are prime implicants.

b) The minimum sum-of-products expression:

AB'D + ACD

(a) To find the prime implicants using the Quine-McCluskey method, we start by listing all the min terms and grouping them into groups of min terms that differ by only one variable. Here's the table we get:

Group 0 Group 1 Group 2 Group 3

0            1               5 6

8            9                11 13

We then compare each pair of adjacent groups to find pairs that differ by only one variable. If we find such a pair, we add a "dash" to indicate that the variable can take either a 0 or 1 value. Here are the pairs we find:

Group 0 Group 1 Dash

0 1  

8 9  

Group 1 Group 2 Dash

1 5 0-

1 9 -1

5 13 0-

9 11 -1

Group 2 Group 3 Dash

5 6 1-

11 13 -1

Next, we simplify each group of min terms by circling the min terms that are covered by the dashes.

The resulting simplified expressions are called "implicants". Here are the implicants we get:

Group 0 Implicant

0

8

Group 1 Implicant

1 AB

5 ACD

9 ABD

Group 2 Implicant

5 ACD

6 ABC

11 ABD

13 ACD

Finally, we identify the prime implicants by selecting the implicants that cover a min term that is not covered by any other implicant.

In this case, we see that the implicants ACD and ABD are prime implicants.

(b) To find all minimum sum-of-products solutions using the Quine-McCluskey method, we start by writing down the prime implicants we found in part (a):

ACD and ABD.

Next, we identify the essential prime implicants, which are those that cover at least one min term that is not covered by any other prime implicant. In this case, we see that both ACD and ABD cover min term 5, but only ABD covers min terms 8 and 13. Therefore, ABD is an essential prime implicant.

We can now write down the minimum sum-of-products expression by using the essential prime implicant and any other prime implicants that cover the remaining min terms.

In this case, we only have one remaining min term, which is 5, and it is covered by both ACD and ABD.

Therefore, we can choose either one, giving us the following minimum sum-of-products expression:

AB'D + ACD

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Answer:

It is D. 21

Step-by-step explanation:

Answer:

The height of cactus is 83.1 feet.

Step-by-step explanation:

Let the height of the cactus be represented by h. Given that the shadows of cactus and Mark meets at the same tip.

Then,

the distance from the cactus to the tip of its shadow = 90 ft + s

                                        = 90 ft + 7 ft

                                        = 97 feet

Thus comparing the two triangles, we have;

\(\frac{h}{6}\) = \(\frac{97}{s}\)

\(\frac{h}{6}\) = \(\frac{97}{7}\)

7 x h = 97 x 6

7h = 582

h = \(\frac{582}{7}\)

  = 83.1429

h = 83.1 feet

The height, h, of the cactus is 83.1 feet.

Answer:

Huatz no te entiendo wuey

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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Answer:

Step-by-step explanation:

12

Answer:

113

Step-by-step explanation:

area of a circle is 3.14*r^2

r=d/2 r=6

3.14*36=113

Answer:

x = 7, arc DE = 198°

Step-by-step explanation:

Inscribed angles from the same arc are congruent.

∠ DCE and ∠ DWE are inscribed angles from the same arc DE , thus

12x + 15 = 3x + 78 ( subtract 3x from both sides )

9x + 15 = 78 ( subtract 15 from both sides )

9x = 63 ( divide both sides by 9 )

x = 7

Thus

∠ DCE = 12x + 15 = 12(7) + 15 = 84 + 15 = 99°

The inscribed angle DCE is half the measure of its intercepted arc, thus

arc DE = 2 × 99° = 198°

Answer:

Wrong problems = 32

Step-by-step explanation:

Total no of problems = 200

Charlotte earned a grade of 84% on her multiple-choice.

Correct problems,

\(=\dfrac{84}{100}\times 200\\\\=168\)

Wrong problems = 200 - correct problems

= 200 - 168

= 32

Hence, there are 32 problems on the final exam Charlotte get wrong.

Answer:

28 cm

Step-by-step explanation:

8+8=16

16+6=22

22+6= 28

6.25 weeks will Héctor and Keith have downloaded the same number of songs.

From the data provided, we can determine the average weekly download rate for Keith by calculating the change in the number of songs downloaded over a specific period.

Between weeks 2 and 5, the number of songs downloaded increased by 45 - 30 = 15 songs.

Similarly, between weeks 5 and 10, the number of songs downloaded increased by 70 - 45 = 25 songs.

To find the average weekly download rate, we divide the change in the number of songs by the corresponding number of weeks.

Average weekly download rate = (15 songs / 3 weeks) + (25 songs / 5 weeks)

= 5 songs/week + 5 songs/week

= 10 songs/week

Therefore, the missing information is that Keith downloads 10 songs per week consistently.

Now, we can determine the number of weeks it will take for Héctor and Keith to have downloaded the same number of songs.

Let w represent the number of weeks:

50 + 2w = 10w

Simplifying the equation, we find:

50 = 8w

Dividing both sides by 8, we get:

w = 6.25

Therefore, it will take approximately 6.25 weeks (or 6 weeks and 1 day) for Héctor and Keith to have downloaded the same number of songs.

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Question:-

Héctor has 50 songs downloaded and continues to download 2 a week. Keith uses this table to record his number of downloaded songs. After how many weeks will Héctor and Keith have downloaded the same number of songs?

Weeks - 2  5 10

Mondour of Downloads-  30  45  70