Graph each function. Then identify the vertex, domain, and range. F(x)= 3|x|-3

In degrees, we have the angle approximately as 13.45 degrees

By notation, what we have here is 13 degrees, 26 minutes and 48 seconds

So, what we have to do is to convert the minutes and seconds to degrees

We have this calculated as follows;

Mathematically, 1 minute is 0.0166667 degrees

Thus, we have 26 minutes as; 26 * 0.0166667 = 0.4333342 degrees

Furthermore, 1 second is 0.000277778 degrees

So we have 48 seconds as 48 * 0.000277778 = 0.01333344 degrees

So, we now proceed to add this to the initial 13 degrees that we had

So, we have the total as;

13 + 0.433 + 0.013 =13.45 degrees

The ratio of the volume of water in Jug B to the volume of water in Jug C is 35:18.

Let's assume the volume of water in Jug B is x.

According to the given information, Jug A contains 6/7 as much water as Jug B. Therefore, the volume of water in Jug A can be calculated as (6/7) * x.

Similarly, Jug C contains 3/5 as much water as Jug A. Hence, the volume of water in Jug C can be expressed as (3/5) * [(6/7) * x].

To find the ratio of the volume of water in Jug B to the volume of water in Jug C, we divide the volume of water in Jug B by the volume of water in Jug C:

(x) / [(3/5) * (6/7) * x]

Simplifying the expression, we get:

x / (18/35 * x)

The x values cancel out, leaving us with:

1 / (18/35)

To simplify further, we multiply the numerator and denominator by the reciprocal of the denominator:

1 * (35/18)

The final ratio is:

35/18

For more such questions on ratio

https://brainly.com/question/30370621

#SPJ8

the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The given function is:

f(x) = -(x + 3) - 1

To find the interval over which the function is decreasing, we need to find the values of x where the function's derivative is negative.

The derivative of the function is:

f'(x) = -1

The derivative is a constant, which means the function has a constant slope of -1. Since the slope is negative, the function is decreasing over its entire domain.

Therefore, the interval over which the graph of f(x) = -(x + 3) - 1 is decreasing is (-∞, +∞).

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

A yoga studio offers membership that costs $48 per month.

Also accepts walk-ins, charging $3 per class.

If someone attends x classes in a month, the two options cost the same, that means:

$48=$3x

x=$48/$3

x=16

We can say that the walk-ins accept 16 classes for the same total amount.

Each option costs $48 if a person takes 16 classes.

Answer:

for every 2 followers benjamin has, lauren has 5 followers

Step-by-step explanation:

find the common factor for their followers (11), then divide them by that:

22/11=2

55/11=5

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

When we have a random function like:

y = f(x)

If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.

For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)

Something similar happens when we have a square root, remember that:

√x

Is a complex number if x < 0.

Then if we have a function like:

y = √x

The domain will be the set of all reals such that x ≥ 0.

Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.

For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.

Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:

m ≤ Y ≤ M

if not, then the range is the set of all real numbers.

Check the picture below.

if the barrel is rolled up the ramp 26 times, each time the barrel is rolled up fully, it covers a length the circumference of its base, so if it does it 26 times, it wen up its base circumference 26 times.

\(\textit{circumference of a circle}\\\\ C=\pi d~~ \begin{cases} d=diameter\\[-0.5em] \hrulefill\\ d=2.5 \end{cases}\implies C=2.5\pi \implies \stackrel{\textit{26 times}}{C =65\pi }\implies \stackrel{\pi =3.14}{C=204.1}\)

Answer:

Step-by-step explanation:

Remove parentheses.

7(y+2)-2y+5=41

2 Expand.

7y+14-2y+5=41

3 Simplify  7y+14-2y+5 to 5y+19.

5y+19=41

4 Subtract 19 from both sides.

5y=41-19

5 Simplify  41-19 to  22

5y=22

6 Divide both sides by 5.

y= 22/5

​

Answer:

y=6.4

Step-by-step explanation:

distribute:

7y+14-2y-5=41

then combine like terms:

5y+9=41

subtract 9 from both sides:

5y=32

divide 5 by both sides:

y=6.4

Answer:

D. a = 60 and b = 58.8

Step-by-step explanation:

Z-score:

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Z-score for data point a is 0.

This means that a is the mean, that is, a = 60.

The z-score for data point b is -0.4.

This means that b must be a value below the mean, that is, a value below 60.

The option that satisfies a = 60 and b < 60 is option D, which is the answer.

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

3 Units To The Left

Step-by-step explanation:

\( \huge \: \tt \green{Answer} \)

Olivia and kieran share ratio 2 : 5

\( \texttt{olivia's share \: of \: money = £42 }= \frac{2}{7} \\ \)

Total Amount of Money = Olivia's share of money × Reciprocal of olivia's share

\( \tt \: = > 42 \times \frac{7}{2} \\ \\ = > 147\)

Kieran's share of Money =

\( = > 147 \times \frac{5}{7} \\ \\ = > \sf{ \pink{£105}}\)

Answer: 15g-25h

Step-by-step explanation:

To use distributive property, you multiply 5x3g individually, and then 5x-5h individually.

You then add them.

So:

5(3g-5h)

=15h-25j

Answer:

z=12500

Step-by-step explanation:

Of means multiply and is means equals

85% *z = 106250

Change to decimal form

.85z = 106250

Divide each side by .85

.85z/.85 = 106250 /.85

z=12500

The range of the given data set is 18.

What is range in statistics?
The difference between the highest and lowest values for a given data collection is the range in statistics. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations. In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. That indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations, which is:
Range = Highest Value – Lowest Value = Highest observation – Lowest observation = Maximum value – Minimum Value

Given, the data set is 79, 91, 76, 87, 93, 79,94.
The data in ascending order is : 76, 79, 79, 87, 91, 93, 94.
From the data set, highest value = 94, lowest value = 76
Thus, Range = Highest value - Lowest value = 94 - 76 = 18
Therefore, range of the given data set is 18.

To learn more about range in statistics tap on the link below:
https://brainly.com/question/745773

#SPJ9

Answer:

it's a or c

Step-by-step explanation:

Answer:

Option 3rd is correct

Step-by-step explanation:

(1,-6),(2,-4),(2,-2),(4,-2),(6,0)

Mike is the best shooter than Jason mike Jim or dave  .

Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.

Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.

To learn more about sports Jason and dave from the given link:

https://brainly.com/question/3951300

#SPJ9

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Step-by-step explanation:

7x - 7 = 6x + 11

7x - 6x = 11 + 7

x = 18

Solution → x = 18

9514 1404 393

Answer:

  k = 2

Step-by-step explanation:

The slope formula gives the slope between two points:

  m = (y2 -y1)/(x2 -x1)

  -2 = (-2 -0)/(3 -k)

Multiplying by (3 -k) gives ...

  -2(3 -k) = -2

  3 -k = 1

  k = 3 -1 = 2

The value of k is 2.

True. Personal observation permits a system analyst to confirm the veracity of comments provided by interviewees and to establish if procedures run as reported.

Personal observation enables the analyst to gather firsthand information about the procedures and operations being used in an organization. This information can then be compared with what was stated during the interviews to verify the accuracy of the statements made. By observing the actual processes, the analyst can identify any discrepancies or areas for improvement, allowing for a more comprehensive and effective analysis.

The ease of learning and implementation of personal observation as a method for system analysis can vary depending on several factors such as the complexity of the system, the experience and training of the analyst, and the availability of resources.

In general, personal observation is a straightforward technique, but it can be time-consuming and requires careful planning and execution. The analyst must have strong analytical and observation skills and the ability to identify and document relevant information. Proper training and experience can help make the learning and implementation process smoother.

Learn more about Observation here:

https://brainly.com/question/28041973

#SPJ4

Gender is categorical nominal, end-of-the-year stock classification is categorical and ordinal, and distance is quantitative and ratio.

Quantitative variables are measured with numbers. Some examples include:

Weight measured in kilos

The distance measured in meters or kilometers

Time measured in seconds or hours

On the other hand, a categorical variable is defined by features, categories, or concepts rather than numbers. Here is an example:

Breeds of dogs: Poodles, Boston Terriers, German shepherds, etc.

Moreover, variables can be classified as:

Learn more about ordinal and nominal in: https://brainly.com/question/13168982

#SPJ1

The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

for such more question on provisions

https://brainly.com/question/1216161

#SPJ8

This may involve breaking down the problem into smaller, more manageable parts, identifying any relevant constraints or assumptions, and considering different approaches or perspectives to arrive at a well-supported answer.

Solving this equation for x would give you the solution  \(x = 2\) .

For example, the equation " \(2x + 3 = 7\) " Represents a relationship between the variable x and the constant 7, where the expression on the left side of the equals sign must be equal to the expression on the right side of the equals sign.

It is important to gather as much information as possible and use logic and reasoning to arrive at a solution or conclusion.  The equation being referred to is not provided, so it is impossible to determine whether \(R = 3\) and   \(H = 7\) could be a solution to it.

Therefore, a logical and rational response would be to request more information about the equation before attempting to determine whether the given values of R and H could be a solution to it.

Learn more about equation here:

https://brainly.com/question/29657988

#SPJ1

Step-by-step explanation:

a) 4x + 8 - 2x + 7

= 2x +15

b) 2n × 5 × 2a

= 10n × 2a

= 20an

Answer:

a) 2x+15

B) n =(2-√44)/4=(1-√ 11 )/2= -1.158 or

n =(2+√44)/4=(1+√ 11 )/2= 2.158

Step-by-step explanation:

a.4x+8-2x+7

4x+15-2x

=2x+15