find the area of the sector of a circle with radius 5 meters formed by a central angle of 145 degrees. answer in square meters

Step-by-step explanation:

(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)

(y - 6)/(1 - 6) = (x + 5)/(2 + 5)

(y - 6)/-5 = (x + 5)/7

7(y - 6) = -5(x + 5)

7y - 42 = -5x - 25

5x + 7y = -25 + 42

5x + 7y = 17

Option → B

Answer:

the answer is A.

Step-by-step explanation:

took the test just now

The right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns a 5.5% commission on all sales.

The expression for the salary can be written as below:-

Salary = 2,500 + (0.055)(6,300)

Here part 2500 will be the fixed salary and (0.055)(6300) will be commission part.

Therefore, the right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ6

The probability of those that favors building the health center is 0.196

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorem will be used as follows :

= 0.196

Hence, The probability is 0.196

Learn more about the probability at:https://brainly.com/question/13604758

#SPJ1

1. There are two performance obligations in a contract to buy a pair of SunBoots from Clarks Inc: Delivery of Sunboots and Discount Coupon.

2. The journal entry to record the revenue for the sale of 1,000 pairs of SunBoots when Clarks cannot estimate the standalone selling price of a pair of SunBoots sold without a coupon is as follows:

Debit Cash $70,000

Credit Sales Revenue $65,800

Credit Deferred Revenue from Discount Coupon $4,200

(To record the sale of 1,000 pairs of SunBoots, including the discount coupon.)

Performance obligations refer to distinct goods and services agreed to be provided in a contract between the two parties.

Performance obligations arise because each separate goods or services benefit the customer distinctly from others.

In accounting for the revenue or costs, efforts should be geared toward recognizing the activity as soon as they bestow or transfer economic benefits to the buyer.

Selling price per pair = $70

Discount coupon = 30%

Estimated percentage of customers who will utilize the coupon = 20%

The number of SunBoots sold = 1,000

Cash $70,000 Sales Revenue $65,800 Deferred Revenue from Discount Coupon $4,200 ($70,000 x 30% x 20%)

Learn more about revenue recognition for performance obligations at https://brainly.com/question/15874481

#SPJ1

Answer:

The correct equation is y = 4x + 4.

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

For similar question on surveyed.

https://brainly.com/question/14610641  

#SPJ8

Answer:

0.412

Step-by-step explanation:

Given the stem plot figure out which ones are below 17g.

So: 7g / 17g = 0.412 which is the proportion

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

Know more about the domain here:
https://brainly.com/question/30096754

#SPJ8

Answer:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)

Step-by-step explanation:

An exponential function of form f(x) = ba^(-x) + c has a horizontal asymptote of y = c as x approaches infinity, and a y-intercept of (0, b + c). We can use the given information to set up a system of equations and solve for the unknowns.

The horizontal asymptote is given as y = 33, so we have:

c = 33

The y-intercept is given as (0, 408), so we have:

b + c = 408

Substituting c = 33, we get:

b + 33 = 408

b = 375

So the function we're looking for is of the form:

\(\bold{f(x) = 375a^{-x}+ 33}\)

To find a, we use the fact that the function passes through P(2, 93):

93 = 375a^(-2) + 33

60 = 375a^(-2)

a^2 = 375/60

a^2 = 6.25

a = \(\sqrt{6.25 } =2.5\)

Therefore, the exponential function that satisfies the given conditions is:

\(\bold{f(x) = 375(2.5)^{-x}+ 33}\)

Answer:

true

Step-by-step explanation:

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

<95141404393>

Answer:

  A. The multiplication that takes place while distributing comes before addition and subtraction in order of operations.

Step-by-step explanation:

You want to know the error that adding -4+4 on the left and 1+1 on the right represents in the solution of the equation ...

The correct solution procedure would be to eliminate the parentheses using the distributive property as a first step:

  4x -6x +8 +4 = -x +3x +3 +1

Comparing this to Maricella's first step, we see that she ignored the step of using the distributive property to multiply the constants inside parentheses by the factor outside. The appropriate description of Maricella's mistake is ...

A. The multiplication that takes place while distributing comes before addition and subtraction in order of operations.

__

Additional comment

Adding like terms would give ...

  -2x +12 = 2x +4

  8 = 4x . . . . . . . . . . . add 2x-4 to both sides

  2 = x . . . . . . . . . . divide by 4

<95141404393>

Answer:

Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else

Step-by-step explanation:

Answer:

? = 4

4 is the answer

Step-by-step explanation:

heart = 21

rainbow = 7

unicorn horn = 9

so, we have

heart + rainbow + rainbow = 35

21 + 7 + 7 = 35

heart + unicorn horn + rainbow = 37

21 + 9 + 7 = 37

rainbow + unicorn horn + unicorn horn =25

7 + 9 + 9 = 25

unicorn horn + unicorn horn + rainbow - heart = ?

9 + 9 + 7 - 21 = 4

Answer:

Annette should plan to spend 2.25 hours walking back.

Step-by-step explanation:

To solve this problem, we can use the formula:

Time = Distance / Speed

Let's assume the distance of the race is D miles.

Annette spends her time running the distance of the race, which takes:

Time running = D / 9 hours

She then walks back the same distance, which we need to find the time for:

Time walking = D / 3 hours

Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:

D / 9 + D / 3 = 3

To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:

D + 3D = 27

Combining like terms:

4D = 27

Dividing both sides of the equation by 4:

D = 6.75

So, the distance of the race is 6.75 miles.

To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:

Time walking = D / 3 = 6.75 / 3 = 2.25 hours

Therefore, Annette should plan to spend 2.25 hours walking back.

Answer

-25/27

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

Find out more on fractions here: https://brainly.com/question/78672

#SPJ1

The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21

The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:

Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84

Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14

Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28

Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21

For more question probability

https://brainly.com/question/25839839

#SPJ8

The number of different passwords, considering 2 digits and 2 letters, is given as follows:

A. 6,760,000.

B. 3,276,000.

The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.

This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

The password is composed by:

With repetition, we have that:

Hence the number of passwords is given as follows:

10^4 x 26² = 6,760,000.

Without repetition, we have that:

Hence the number of passwords is given as follows:

10 x 9 x 8 x 7 x 26 x 25 = 3,276,000.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/15878751

#SPJ1

The profit for 24 sales is $64.

The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.

The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.

To find the revenue for 24 sales, we substitute x = 24 into the revenue function:

Revenue = f(24)

= 5 × 24

= 120 dollars

Now, let's calculate the profit.

The profit is $20 less than 70% of the revenue.

We can express this mathematically as:

Profit = 0.7 × Revenue - $20

Substituting the value of Revenue we calculated earlier:

Profit = 0.7 × 120 - $20

= 84 - $20

= $64

We must first compute the revenue for 24 sales before calculating the profit based on the available data.

The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.

We add x = 24 to the revenue function to get the revenue for 24 sales:

f(24) = 5 x 24 = 120 dollars is the revenue.

Let's now determine the profit.

The profit is $20 below the revenue's 70%.

This may be written mathematically as:

Revenue - $20 x Profit = 0.7

Substituting the earlier determined figure of Revenue:

Earnings = 0.7 x 120 - $20 = 84 - $20 = $64

For similar questions on profit

https://brainly.com/question/29087694

#SPJ8

Answer:

Y does not have a binomial distribution since p, the probability of being a binge drinker, is not the same for all the trials.

Step-by-step explanation:

For a binomial distribution, condition required include :

A fixed number of trials ; Here the number of trials is 20 ; hence, this condition is met.

Each trial must be independent : yes, it is independent as a selected individual could either be a binge drinker or not. The outcome of each trial is either a success or a failure ; being a drinker or not.

However, the probability of being a binge drinker (that is probability of success) could vary for male and female. The probability of male being a binge drinker is 0.21 while that if female isn't specified, this probability, p value should be the same for all trials. Hence, with this value not being the same for all trials, the binomial probability condition is violated.

A has the larger standard devlation.

What is standard devlation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

We are given two plots of normal distributions A and B.

The mean of a normal distribution is located at the center of the plot.

Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.

The standard deviation basically determines the shape of the distribution.

As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.

Therefore, the two correct options are

• The means of A and B are equal.

• A has larger standard deviation.

Complete question: Given the plot of normal distributions A and B below, which of the following statements is true? Select all correct answers.

Select all that apply:

A has the larger mean.

B has the larger mean.

The means of A and. Q jual.

A has the larger standard devlation.

B has the larger standard deviation.

The standard deviations of A and B are equal.

To learn more about normal distribution  visit:https://brainly.com/question/29509087

#SPJ4

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

Answer:

true

Step-by-step explanation:

The Arizona Monsoon is a well-defined meteorological event (technically called a meteorological 'singularity') that occurs during the summer throughout the southwest portion of North America. During the winter time, the primary wind flow in Arizona is from the west or northwest—from California and Nevada. As we move into the summer, the winds shift to a southerly or southeasterly direction. Moisture streams northward from the Pacific Ocean and the Gulf of Mexico. This shift produces a radical change in moisture conditions statewide.

Answer:

true

Step-by-step explanation:

Answer:

x, y =8 -3

Step-by-step explanation:

System of Linear Equations entered :

  [1]    x - 4y = 20

  [2]    2x + 5y = 1

Graphic Representation of the Equations :

   -4y + x = 20        5y + 2x = 1  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 4y + 20

// Plug this in for variable  x  in equation [2]

  [2]    2•(4y+20) + 5y = 1

  [2]    13y = -39

// Solve equation [2] for the variable  y

  [2]    13y = - 39

  [2]    y = - 3

// By now we know this much :

   x = 4y+20

   y = -3

// Use the  y  value to solve for  x

   x = 4(-3)+20 = 8

Solution :

{x,y} = {8,-3}

Answer:

0.599 or 0.6

Step-by-step explanation:

We will be using the alphabets M and N in this solution.

Let M be that one of the number is even

Let N be that the sum is 8

The sample space of these two dice when rolled is 36

Probability of 8 and even numbers is (4,4),(6,2),(2,6)

= 3/36 = 0.08333

Probability of sum of 8 is (4,4),(5,3)(3,5),(6,2),(2,6)

= 5/36 = 0.1389

P(M|N) = 0.08333/0.1389

= 0.599

Approximately 0.6

Answer:

0.6

Step-by-step explanation: