how to solve f(x)=2x+1 when x=a?​

Answer:

\(\textsf{area of a sector}=\dfrac{\theta\pi r^2}{360\textdegree} \mathsf{\ \ (where\ \theta \ is\ in\ degrees)}\)

Given:

\(\implies \textsf{area}=\dfrac{60\textdegree \times\pi \times 6^2}{360\textdegree}\)

\(\implies \textsf{area}=\dfrac{2160\pi}{360}\)

\(\implies \textsf{area}=6\pi \textsf{ cm}^2\)

\(\implies \textsf{area}=18.85\textsf{ cm}^2 \textsf{ (nearest hundredth)}\)

Answer:

x = +4 , -4

Step-by-step explanation:

    x² - 16 = 0

           x² = 16

           \(\sf x = \sqrt{16}\\\\x = \sqrt{4*4}\\\\\)

          x = ±4

The missing sides are given as;

1. x = 12. 9

2. a = 12. 4

3. n = 5. 2

4. k = 13. 5

5. n = 22. 5

To determine the missing sides, we have to use the different trigonometric identities. These identities are;

Using the cosine identity, we have;

cos 31 = x/15

cross multiply the values, we get;

x = 12. 9

2. Using the tangent identity, we have;

tan 44 = 12/a

cross multiply the values

a = 12. 4

3. Using the sine identity;

sin 48 = n/7

n = 5. 2

4. Using the cosine identity;

cos 42 = 10/k

cross multiply

k = 13. 5

5. cos 26 = n/25

n = 22. 5

Learn about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

29/13

Step-by-step explanation:

The equation is a/b*13=29. So, if we divide the whole thing by 13m we get a/b=29/13. This means that a=29 and b=13. 29/13 is the maximum it can be simplified.

Answer:

34: yes

40: no

32: yes

35: no

Step-by-step explanation:

hope this helps!

The  probability space and that e1 and e2 are events satisfying e1 ∪ e2 = s, p(e1) = 1/5, and p(e1 ∩ e2) = 1/30.The  p(e2) is 0.8333.

In chance principle, a probability space or a probability triple. is a mathematical construct that offers a formal model of a random manner or "test". for example, you can still outline an opportunity area that fashions the throwing of a die.

A chance area fashions random occasions and is made of three parts: pattern space: the set of all possible results. as an example, in case you toss a coin twice, the pattern space is {HH, HT, TH, TT}. The sample space is every so often denoted by way of the Greek letter omega (Ω).07-Jan-2017

A finite probability space is a fixed S and a feature p: S → R ≥zero such that p(s) > 0 (∀s ∈ S) and ∑ p(s) = 1. We re. page 1. A finite probability area is a set S and a characteristic p: S → R≥0 such that p(s) > 0. (∀s ∈ S) and ∑

Given E1 and E2 events S is the probability space

And given E1∪ E2 =S

P(E1)=1/5 and P(E1 ∩ E2 )=1/30

From given P(E1∪ E2)=P(S)

From probability axioms P(S)=1

Therefore P(E1∪E2) =1

      P(E1)+ P(E2)- P(E1 ∩E2)= 1

      (1/5) + P(E2) - (1/30) = 1

   P(E2 )= 1-(1/5) +(1/30)= 0.8333

Therefore P(E2)= 0.8333

Learn  more about probability space here https://brainly.com/question/14596023

#SPJ4

Answer:Tiffany has 28 Justin has 64

Step-by-step explanation:

64+28=92

There are a total of 364 gifts in the Twelve Days of Christmas.the Twelve Days of Christmas includes a total of 364 gifts, with 78 unique gifts and some repeated gifts.

The song "The Twelve Days of Christmas" follows a pattern where the number of gifts increases each day. Starting from the first day, a partridge in a pear tree is given. On the second day, two turtle doves are given in addition to the partridge and pear tree. On the third day, three French hens are given along with the gifts from the previous days, and so on.

To calculate the total number of gifts, we sum up the gifts given on each day from the first day to the twelfth day. This can be done by adding up the numbers from 1 to 12:

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 = 78

Therefore, the total number of gifts in the Twelve Days of Christmas is 78. However, it's important to note that some gifts are repeated on multiple days. For example, a partridge in a pear tree is given on all twelve days, so it should only be counted once.

To account for the repeated gifts, we subtract the number of days from the total count:

78 - 12 = 66

So, there are 66 unique gifts in the Twelve Days of Christmas. However, if we include the repeated gifts, the total count would be:

66 + 12 = 78

the Twelve Days of Christmas includes a total of 364 gifts, with 78 unique gifts and some repeated gifts. It's a cumulative song where the number of gifts increases each day, leading to a grand total of 364 gifts by the end of the twelfth day.

To know more about total  follow the link:

https://brainly.com/question/30765230

#SPJ11

Answer: 5km, 6000m, 8,000,000 mm, 7000000 cm

Step-by-step explanation:

Note that:

1km = 1,000,000mm

1m = 1000mm

1cm = 10mm

Therefore,

5 km = 5 × 1,000,000mm = 5,000,000mm

7000,000 cm = 7,000,000 × 10 = 70,000,000mm

6,000 m = 6000 × 1000 = 6,000,000mm

Therefore, from the least to the greatest will be:

5km, 6000m, 8,000,000 mm, 7000000 cm

$8.25 for 1 scarf

All you have to do is divide the number($24.75) by the amount of scarves(3)

So divide 24.75 divide by 3 is 8.25

Please mark branliest if this helped

Answer:

yea bro 8.25

Step-by-step explanation:

hes right. and branliest

The atom's place on the table is determined solely by its number of protons

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

Learn more about periodic table here;https://brainly.com/question/14514242

Answer:

number of protons

Step-by-step explanation:

By using the unitary method , the cost of one shotgun shell to determine that the cost of shooting the last 6 ducks would be $6.86.

The unitary method involves finding the value of one unit and then using that value to find the value of a given number of units. In this problem, we can use the number of shotgun shells as the unit of measurement. Let's say Bill used x shotgun shells to shoot 8 ducks on his previous hunting trip. Therefore, the cost of shooting 8 ducks would be the cost of x shotgun shells.

Now, we know that Bill shot 14 ducks using the same amount of shotgun shells he used on his previous trip. Therefore, the cost of shooting 14 ducks would be the cost of x shotgun shells. We can use a proportion to find the value of x.

8 ducks can be shot using x shotgun shells, so 14 ducks can be shot using (14/8) x x shotgun shells.

Simplifying this expression, we get:

(14/8) x x = 14 ducks

x = (8/14) x 14 ducks

x = 8/7 ducks

So, Bill used 8/7 shotgun shells to shoot 1 duck on his previous hunting trip.

Now, to find the cost of shooting the last 6 ducks, we need to determine how many shotgun shells he would need. Using the unitary method again, we can say:

1 duck can be shot using 8/7 shotgun shells, so 6 ducks can be shot using 6 * (8/7) shotgun shells.

Simplifying this expression, we get:

6 x (8/7) = 48/7 shotgun shells

Therefore, to shoot the last 6 ducks, Bill would need 48/7 shotgun shells. To determine the cost, we need to know the cost of one shotgun shell. Let's say the cost of one shotgun shell is $1. Then the cost of shooting the last 6 ducks would be:

(48/7) x $1 = $6.86 (rounded to the nearest cent)

To know more about unitary method here

https://brainly.com/question/28276953

#SPJ4

The mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

Given data values are 55, 56, 70, 61, 53, 57, 50, 73, 52, 69, and 2. We need to calculate the mean, median, and mode of this sample.So, let's first arrange the data values in ascending order:2, 50, 52, 53, 55, 56, 57, 61, 69, 70, 73

Mean:The mean is the sum of all the data values divided by the total number of data values. So, we can use the following formula to calculate the mean:

Mean = (sum of all the data values) / (total number of data values)Sum of all the data values = 55 + 56 + 70 + 61 + 53 + 57 + 50 + 73 + 52 + 69 + 2 = 598Total number of data values = 11

Therefore,Mean = (sum of all the data values) / (total number of data values) = 598 / 11 = 54.36 (rounded to two decimal places)Therefore, the mean of the given data values is 54.36.

Median:The median is the middle value of a sorted data set. Since the data set has 11 data values, the median is the average of the 6th and 7th values (counting from smallest to largest).

Therefore, the median is :Median = (55 + 56) / 2 = 55.5Therefore, the median of the given data values is 55.5.

Mode:The mode is the data value that appears most frequently in the data set. In this case, there is no data value that appears more than once. So, there is no mode.

Therefore, the mode of the given data values is N/A (not applicable).Hence, the mean, median, and mode of the given data values are:Mean = 54.36Median = 55.5Mode = N/A (not applicable)

For more questions on Mean .

https://brainly.com/question/29368683

#SPJ8

Answer: 6 + 3 − 9  

  − 3 + 3  

 -3+3m    

 3m-3

Step-by-step explanation:

Answer:

-9.661

Step-by-step explanation:

For this problem you simply substitute the give values into the equation

a=6.05

b=3.611

-6.05+(-3.611)= -9.661

A) The coefficient of determination can be computed using the SSE and SST values in regression and correlation analysis.

SSE (Sum of Squared Errors) is the sum of the squared differences between the actual and predicted values of the dependent variable. SST (Total Sum of Squares) is the sum of the squared differences between the actual values of the dependent variable and their mean.
The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that can be explained by the independent variable(s) in a regression model.

It is calculated as follows:
R² = 1 - (SSE/SST)
Since both SSE and SST are given, you can compute the coefficient of determination.

However, the information provided is not sufficient to calculate the slope, Y-intercept, or X-intercept of the regression line.

Based on the given information, the correct answer is:
A) Coefficient of determination can be computed.

For similar question on coefficient.

https://brainly.com/question/17237825

#SPJ11

This coefficient of determination (R²) gives you a measure of how well the regression line fits the data in your correlation analysis.

A) The coefficient of determination can be computed with the known values of SSE (sum of squared errors) and SST (total sum of squares) in regression and correlation analysis. The coefficient of determination is a measure of how well the regression line fits the data and is expressed as a percentage. It represents the proportion of variability in the dependent variable (Y) that can be explained by the independent variable (X).

Based on the information provided, with the known SSE (Sum of Squares Error) and SST (Sum of Squares Total), you can compute the coefficient of determination. So, the correct answer is:

A) Coefficient of determination can be computed

To calculate the coefficient of determination (R²), follow these steps:

1. Calculate the Sum of Squares Regression (SSR) by subtracting SSE from SST:
  SSR = SST - SSE

2. Compute the coefficient of determination (R²) by dividing SSR by SST:
  R² = SSR / SST

This coefficient of determination (R²) gives you a measure of how well the regression line fits the data in your correlation analysis.

to learn more about coefficients click here:

https://brainly.com/question/29174258

#SPJ11

The inequality of the graph from the boundary line is y ≤ x - 3

From the question, we have the following parameters that can be used in our computation:

Boundary line: y = x  - 3

This means that

The inequality can be any of the following

y > x - 3

y < x - 3

y ≥ x - 3

y ≤ x - 3

In this case, we make use of y ≤ x - 3

So, we plot the graph

See attachment for the graph of the inequality expression y ≤ x - 3

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer: 3rd option

Step-by-step explanation:

positive gradient and intercepts y  axis on +1

The probability that a poker hand consists of two jacks or two fives is approximately 0.009, or 0.9% when rounded to three decimal places.

To calculate the probability that a poker hand consists of two jacks or two fives, we need to determine the total number of possible two-card hands and the number of favorable outcomes (two jacks or two fives).

Step 1: Calculate the total number of possible two-card hands.
There are 52 cards in a standard deck. To form a two-card hand, we have 52 choices for the first card and 51 choices for the second card. Using the combination formula (nCr), the total number of possible hands is C(52, 2) = 52! / (2! * (52-2)!) = 1,326.

Step 2: Calculate the number of favorable outcomes.
There are 4 jacks and 4 fives in a deck, which gives us 8 possible cards to form our desired hands. For two jacks, there are C(4, 2) = 6 combinations. For two fives, there are also C(4, 2) = 6 combinations.

Step 3: Calculate the probability.
The total number of favorable outcomes is the sum of the combinations of two jacks and two fives, which is 6 + 6 = 12. Now, divide the number of favorable outcomes by the total number of possible hands:

Probability = (Number of favorable outcomes) / (Total number of possible hands) = 12 / 1,326 ≈ 0.00905

So, the probability that a poker hand consists of two jacks or two fives is approximately 0.009, or 0.9% when rounded to three decimal places.

Learn more about Probability at:

https://brainly.com/question/251701

#SPJ11

Answer: 46.08 kg

Answer:

\(90 \div 100 \times 20 = 18\)

\(90 - 18 = 72\)

\(72 \div 100 \times 20 = 14.4\)

\(72 - 14.4 = 57.6\)

\(57.6 \div 100 \times 20 = 11.52\)

\(57.6 - 11.52 = 46.08\)

Step-by-step explanation:

Theres probably a better solution but brute force is sometimes good enough

Answer:

Length of the square = 3 inches

Equation:   \(l = L - 3\) and \(l = W - 1\)

Step-by-step explanation:

Given

Area of the rectangle = 24

Required

Length of the square when the dimension of the rectangle is trimmed by 3 inches * 1 inches

Represent the dimension on the rectangle by L and W

Such that L represent Length and W, Width

This implies that

\(L * W = 24\)

Represent the length of the rectangle by l

Such that

\(l = L - 3\) and \(l = W - 1\) (When trimmed)

Equate both expressions

\(L - 3 = W - 1\)

Add 3 to both sides

\(L - 3 + 3 = W - 1 + 3\)

\(L = W + 2\)

Next is to list all possible dimensions of the rectangle;

\(Area(L,W) = Length * Width\)

\(Area(24,1) = 24 * 1 = 24\)

\(Area(12,2) = 12 * 2 = 24\)

\(Area(8,3) = 8 * 3 = 24\)

\(Area(6,4) = 6 * 4 = 24\)

From the list above, the only calculation that fits our solution is

\(Area(6,4) = 6 * 4 = 24\)

Such that

\(6 = 4 + 2\)

By direct comparison of \(6 = 4 + 2\) to \(L = W + 2\);

\(L = 6\)

\(W = 4\)

Recall that

\(l = L - 3\) and \(l = W - 1\)

Substitute 6 for L and 4 for W

\(l = 6 - 3\) and \(l = 4 - 1\)

\(l = 3\) in both cases

Hence, the length of the square is 3 inches

And the equation is  \(l = L - 3\) and \(l = W - 1\)

Answer:

15

Step-by-step explanation:

\(37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15\)

Answer:

B you need to plug it in the calculator

The approximate value of tan C is 0.38 (Option D).

To find the approximate value of tangent (tan) of angle C, we can use the given side lengths of the right-angled triangle ABC:

Hypotenuse (c) = 13.93

Base (b) = 13

Height (a) = 5

The tangent of angle C is defined as the ratio of the height (a) to the base (b):

tan C = a / b

tan C = 5 / 13

Now, let's calculate the approximate value of tan C:

tan C ≈ 0.3846

Among the given options (0.36, 0.93, 2.6, 0.38), the closest approximation to the value of tan C is option D: 0.38.

Therefore, the approximate value of tan C is 0.38.

To know more about tan, refer here:

https://brainly.com/question/12754887

#SPJ2

Complete Question:

What is the approximate value of tan C?

Step-by-step explanation:

I hope this helps! Have a good rest of your day:)

Answer:

18.) 10x

20.) k - 24

22.) 12 - 9

Step-by-step explanation:

Answer:

37/56

Step-by-step explanation:

Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).

Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.

Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.

This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.

By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.

In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.

To know more about competent communicators refer here:

https://brainly.com/question/18764706

#SPJ11

Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.

Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.

https://brainly.com/question/36648176

#SPJ6

Answer:

Step-by-step explanation:

(a) To find the initial population, we can set up a proportion based on the given information:

400 bacteria after 2 hours corresponds to the initial population P(0).

50,000 bacteria after 8 hours corresponds to P(8).

Using the proportion, we have:

(400 bacteria) / (P(0)) = (50,000 bacteria) / (P(8))

Cross-multiplying and solving for P(0), we get:

P(0) = (400 bacteria) * (P(8)) / (50,000 bacteria)

(b) To find an expression for the population after t hours, we can use the formula for exponential growth:

P(t) = P(0) * e^(kt),

where P(0) is the initial population and k is the constant relative growth rate. To find k, we can use the information given:

P(8) = P(0) * e^(k * 8)

Solving for k:

k = ln(P(8) / P(0)) / 8

Substituting this value of k into the equation for P(t):

P(t) = P(0) * e^((ln(P(8) / P(0)) / 8) * t)

(c) To find the number of cells after 3 hours, we can substitute t = 3 into the expression for P(t):

P(3) = P(0) * e^((ln(P(8) / P(0)) / 8) * 3)

(d) To find the rate of growth after 3 hours, we can take the derivative of the population function with respect to t:

P'(t) = (d/dt)(P(0) * e^((ln(P(8) / P(0)) / 8) * t))

(e) To find when the population will reach 200,000, we can set up the equation:

200,000 = P(0) * e^((ln(P(8) / P(0)) / 8) * t)

Solving for t will give us the time in hours.

Note: The values for P(0), P(8), and ln(x) should be substituted based on the specific information given in the problem.

Learn more about exponential growth and population dynamics here:

https://brainly.com/question/28255866

#SPJ11

Answer:

B

Step-by-step explanation: