Find the coordinates of the midpoint of a segment with the given endpoints.
C(22,4), B(15,7)

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

Learn more about amount here

https://brainly.com/question/8082054

#SPJ4

Answer:

y = -2x + 6

Step-by-step explanation:

Slope-intercept form: y = mx + b

Given:

Slope(m): -2

Point: (-1, 8)

To write the equation in slope-intercept form we need to find the slope(m) and the y-intercept(b).

Since we already know the slope is -2, we can move on to finding the y-intercept. To find the y-intercept, input the values of the slope and the point into the equation format and solve for b:

y = mx + b

8 = -2(-1) + b

8 = 2 + b

6 = b

The y-intercept is 6.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x + 6

Answer: 1 (-4)

Step-by-step explanation: f(x) is a function of x giving you a y value. 1/2 f(x) means you're halving every y value that plugging in x gives you.

Answer: the answer is quadratic binomial :D

Step-by-step explanation:

If there will be 6 cheese sections that are 3 1/3 inches long and 5 vegetable sections that are 4 3/8 inches long, the length of the giant sandwich is 41.875 inches.

To find the total length of the sandwich, we need to add the lengths of all the cheese and vegetable sections together.

First, we need to convert the mixed number 3 1/3 to an improper fraction:

3 1/3 = (3 x 3 + 1)/3 = 10/3

Similarly, we need to convert 4 3/8 to an improper fraction:

4 3/8 = (4 x 8 + 3)/8 = 35/8

Now we can calculate the total length of the sandwich by multiplying the length of each section by the number of sections and adding them together:

Total length = (6 x 10/3) + (5 x 35/8)

= 20 + 21.875

= 41.875 inches

To learn more about length click on,

https://brainly.com/question/14322539

#SPJ4

Answer: The first restaurant had a greater median time

the range for the first restaurant is 35 minutes and the range for the second restaurant is 39 minutes

The second restaurant had more wait times from 30-39 minutes

Answer:

A. 15.2%

Step-by-step explanation:

Subtract the new price from the old one to find the dollar amount that the water bottle price was reduced.

\(1.65-1.40=0.25\)

The price was reduced by 25 cents, but we need to find the percentage. To do that, we divide the price reduction by the original price.

\(0.25/1.65=0.152\)

And then move the decimal place over two spots (multiply by 100)

15.2

Percent decrease in the price of the bottle of water is 15.2% (Approx.)

Older price of bottle = $1.65

New price of bottle = $1.40

Percent decrease in the price of the bottle of water

Percent decrease in the price of the bottle of water = [(1.65 - 1.40) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = [(0.25) / 1.65]100

Percent decrease in the price of the bottle of water = 15.2% (Approx.)

https://brainly.com/question/10156335?referrer=searchResults

There sould be 11 terms of the following convergent series must be summed to be sure that the remainder is less than 10⁻¹ in magnitude

We can use the formula for the remainder of a convergent series:

Rn = Sn - S

where Rn is the remainder after summing the first n terms, Sn is the sum of the first n terms, and S is the infinite sum. In this case, the series is

sum(k=0 to infinity) (3^k - 1) / k!

so the infinite sum is S = e³ - 1. We want to find n such that the remainder Rn is less than 0.1, or |Rn| < 0.1.

The remainder formula tells us that

|Rn| = |sum(k=n+1 to infinity) (3^k - 1) / k!| <= sum(k=n+1 to infinity) |(3^k - 1) / k!|

To make an estimate, we can use the fact that

|3^k / k!| <= 3^k / (k-1)!

So we can write

|Rn| <= sum(k=n+1 to infinity) (3^k / (k-1)!) = e³ / (n!)

We want this to be less than 0.1, so we solve for n:

e³ / (n!) < 0.1

n! > e³ / 0.1

n > ln(e³ / 0.1)

n > 10.026

Since we can't sum a fraction of a term, we need to sum at least n = 11 terms to be sure that the remainder is less than 0.1 in magnitude.

For more questions like series visit the link below:

brainly.com/question/15874105

#SPJ11

Answer:

Plant A is y=2x+6

Step-by-step explanation:

Slope: 2

Y-intercept: 6

The function f(x) = ln(2 + sin(x))) is concave up for the range of x [0,2].

To discover the interval(s) on which f(x) = ln(2 + sin(x)) is concave up, compute the function's second derivative and check its sign.

To begin, compute the first derivative of f(x) with respect to x:

(1 / (2 + sin(x)) = f'(x)cos(x)

The second derivative of f(x) can therefore be found by taking the derivative of f'(x) with regard to x:

f''(x) = -(1/(2 + sin(x))(-sin(x)) cos2(x) + (1/(2 + sin(x))

When we simplify f''(x), we get:

f''(x) = -1/(2 + sin(x))²)sin(x)(sin(x)-2)

To discover the interval(s) where f(x) is concave up, we must first locate the interval(s) where f''(x) is positive. Because sin(x) might vary from -1 to 1, we must solve the inequality:

-(1/(2 + 1))^2(-1)(-1-2)≤f''(x)≤-(1 / (2 - 1))²(1) (1-2)

When we simplify this inequality, we get:

1/9 ≤ f''(x) ≤ -1/4

So, f is never negative at 0 ≤ x ≤ 2, so f is concave up in the range 0 ≤ x ≤ 2.

To know more about concave function, visit,

https://brainly.com/question/31120249

#SPJ4

Complete question - f(x) = ln(2 + sin(x)), 0 ≤ x ≤ 2 . Find the interval(s) on which f is concave up.

I assume you mean the product of mixed numbers,

3 1/2 × 3 1/2

If we write this as

(3 + 1/2) × (3 + 1/2) = (3 + 1/2)²

we can use the identity

(a + b)² = a² + 2ab + b²

so that

3 1/2 × 3 1/2 = 3² + (2 × 3 × 1/2) + (1/2)²

3 1/2 × 3 1/2 = 9 + 3 + 1/4

3 1/2 × 3 1/2 = 12 1/4

Alternatively, we can first write 3 1/2 as a mixed number:

3 + 1/2 = 6/2 + 1/2 = (6 + 1)/2 = 7/2

Then

3 1/2 × 3 1/2 = 7/2 × 7/2 = (7 × 7) / (2 × 2) = 49/4

and

49/4 = (48 + 1)/4 = ((4 × 12) + 1)/4 = 12 + 1/4

Answer:

y = -3x + 3

Step-by-step explanation:

So, basically I can't remember how to do this the long way but I used a calculator on Desmos (the graphing one to be specific). You should be able to find tutorials on how to use it and graph problems to find their answers but if not, you can just message me and I'll walk you through how to use it.

As for the form it asked for in the question, slope-intercept form is just:

y = mx + b

m is the slope, and b is the y-intercept (the place where the line crosses the y-axis)

Answer:

The streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Step-by-step explanation:

Let v = streamer's speed in still water and v' = stream's speed. His speed upstream is V = v + v' and his speed downstream is V' = v - v'.

Since he travels 36 km upstream, the time taken is t = 36/V = 36/(v + v').

he travels 32 km downstream, the time taken is t' = 32/V' = 32/(v - v')

The total time is thus t + t' = 36/(v + v') + 32/(v - v')

Since the whole trip takes 6,5 hours,

36/(v + v') + 32/(v - v') = 6.5  (1)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')36/(v + v') + (v + v')(v - v')32/(v - v') = 6.5(v + v')(v - v')  (1)

(v - v')36 + (v + v')32 = 6.5(v + v')(v - v')  (1)

36v - 36v' + 32v + 32v' = 6.5(v² + v'²)

68v - 4v' = 6.5(v² + v'²)        (2)

Also he travels 4 km upstream, the time taken is t" = 4/V = 4/(v + v').

he travels 40 km downstream, the time taken is t'" = 40/V' = 40/(v - v')

The total time is thus t" + t'" = 4/(v + v') + 40/(v - v')

Since the whole trip takes 180 minutes = 3 hours,

4/(v + v') + 40/(v - v') = 3  (3)

Multiplying each term by (v + v')(v - v'), we have

(v + v')(v - v')4/(v + v') + (v + v')(v - v')40/(v - v') = 3(v + v')(v - v')  (1)

(v - v')4 + (v + v')40 = 3(v + v')(v - v')  (1)

4v - 4v' + 40v + 40v' = 3(v² + v'²)

44v - 36v' = 3(v² + v'²)      (4)

Dividing (2) by (4), we have

(68v - 4v')/(44v - 36v') = 6.5(v² + v'²)/3(v² + v'²)      

(68v - 4v')/(44v - 36v') = 6.5/3

3(68v - 4v') = 6.5(44v - 36v')

204v - 12v' = 286v - 234v'

204v - 286v = 12v' - 234v'

-82v = -222v'

v = -222v'/82

v = 111v'/41

Substituting v into (2), we have

68v - 4v' = 6.5(v² + v'²)      

68(111v'/41) - 4v' = 6.5[(111v'/41)² + v'²]        

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²    

[68(111/41) - 4]v' = 6.5[(111/41)² + 1]v'²

[7548/41 - 4]v' = 6.5[12321/1681 + 1]v'²

[(7548 - 164)/41]v' = 6.5[(12321 + 1681)/1681]v'²

[7384/41]v' = 6.5[14002/1681]v'²

[7384/41]v' = [91013/1681]v'²

[91013/1681]v'² - [7384/41]v' = 0

([91013/1681]v' - [7384/41])v' = 0

⇒ v' = 0 or ([91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or [91013/1681]v' - 7384/41) = 0

⇒ v' = 0 or v' =  7384/41 × 16841/91013

⇒ v' = 0 or v' =  180.097 × 0.185

⇒ v' = 0 or v' =  33.33 km/h

Since v' ≠ 0, v' = 33.33 km/h

Substituting v' into v = 111v'/41 = 111(33.33 km/h)/41 = 3699.63 km/h ÷ 41 = 90.23 km/h

So, the streamer's speed in still water is 90.23 km/h while the stream's speed is 33.33 km/h

Answer:

I think the answer is A,C, and D. Sorry if I'm wrong, but if it's right pls mark brainliest.

The sample of 100 students is a simple random sample (SRS) of the population of all students, and it provides evidence about the proportion of students who completed their assigned homework last week.

The sample proportion of students who completed their assigned homework is calculated as the number of students in the sample who completed their homework divided by the total number of students in the sample.

If the sample proportion is less than 60%, then this is evidence that less than 60% of all students completed their assigned homework last week. However, it is important to keep in mind that the sample proportion is just an estimate of the population proportion, and it may not be exactly equal to the population proportion. The sample proportion can vary from sample to sample due to random sampling error.

To learn more about simple random sample click on,

https://brainly.com/question/30046418

#SPJ4

The algebraic expression to represent how much she earns over 5 weeks is 5(b + 25)

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

In this problem, Maddy can rewrite how much she earns over the period of 5 weeks as

5(b + 25)

We can also rewrite this as a general expression for the total number of weeks by adding a variable

n(b + 25)

Learn more on expression here;

https://brainly.com/question/4344214

#SPJ1

Person A's optimal choices are x1 = x2 and person B's optimal choices are x1 = x22. Also Demand(x1,x2) = 2x1 + x1 + x22 represents the market demand for x1 and x2.

In order to find the optimal choices of person A and person B, we need to find the values of x1 and x2 that maximize their respective utility functions.

For person A, their utility function is ua = min{x1,x2}, which means their satisfaction is equal to the minimum value of x1 and x2. The optimal choice for x1 and x2 would be the values that make x1 = x2, because if one value is higher, the minimum will always be the lower value. Hence, person A's optimal choices are x1 = x2.

For person B, their utility function is ub = min{x1,x22}, which means their satisfaction is equal to the minimum value of x1 and x22. The optimal choice for x1 and x2 would be the values that make x1 = x22, because if x1 is higher, x22 will be even higher and the minimum will always be x1. Hence, person B's optimal choices are x1 = x22.

To find the market demand, we need to find the aggregate demand of both person A and person B. The aggregate demand is the sum of the individual demands. The demand for x1 and x2 can be found by adding the individual demands.

Person A's demand for x1 and x2 is the same, x1 = x2, hence the total demand for x1 and x2 is 2x1.

Person B's demand for x1 and x2 is x1 = x22, hence the total demand for x1 and x2 is x1 + x22.

The aggregate demand for x1 and x2 is the sum of both individual demands:

Demand(x1,x2) = 2x1 + x1 + x22

This represents the market demand for x1 and x2.

Therefore, Person A's optimal choices are x1 = x2 and person B's optimal choices are x1 = x22. Also Demand(x1,x2) = 2x1 + x1 + x22 represents the market demand for x1 and x2.

To learn more about maximization,

Visit; brainly.com/question/29161015

#SPJ4

Answer:

B: 395

Step-by-step explanation:

Answer:400

Step-by-step explanation:

Answer:

x = 4√7

Step-by-step explanation:

You can use the pythagorean theorem which is a² + b² = c²

if you plug it in, it would be...

x² + 12² = 16²

x² + 144 = 256, subtract 144 to both sides

x² = 112, square root both sides to make x by itself.

x = 4√7  

Answer:

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8

Answer:

1. Sound

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !! I know the first one and only the first one ><

By solving a system of equations, we can see that there are 17 children and 8 parents in the room.

Let's define the variables:

x = number of children.

y = number of parents.

We know that there are 9 more children than parents, then:

x = y + 9

And there is a total of 25 people, so:

x + y = 25

So we have a system of equations:

x = y + 9

x + y = 25

Replacing the first equation into the second one, we get:

(y +9) + y = 25

2y + 9 = 25

2y = 25 - 9 = 16

y = 16/2 = 8

then the value of x is:

x = y + 9 = 8 + 9 = 17

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

z'(8, 12)

Step-by-step explanation:

Multiply each coordinate by the scale factor of the dilation.

z(2, 3) -----> z'(8, 12)

Given:

The population of N = 9 scores is 4, 2, 0, 5, 3, 2, 1, 7, 3

Required:

Sketch a histogram showing the population distribution.

Explanation:

Make a frequency table for the given data as:M

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
To know more about radical visit:

https://brainly.com/question/14923091

#SPJ11

Best examples

Boyles law

Current with resistance

Resistance with length of wire

Pressure with area

Answer:

1 feet

Step-by-step explanation:

15-14

Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

A function represents a relation between two variables by defining a set of input values (the domain of the function) and a corresponding set of output values (the range of the function). The input values are usually represented by a single variable (such as x), and the output values are represented by a different variable (such as y).

It is not possible to accurately determine which function should be used to represent the number of employees and the number of days without more information about the task and the factors that may influence the number of employees and the duration of the task. There are many different functions that could potentially be used to model this type of data, depending on the specifics of the task and the relationships between the variables. Some common functions that may be used to represent the number of employees and the duration of a task include linear functions, exponential functions, and polynomial functions.

To determine the most appropriate function to use, you would need to consider factors such as the nature of the task, the resources available to complete the task, and any constraints or limitations that may affect the number of employees or the duration of the task.

To learn more about functions visit:

brainly.com/question/28278690

#SPJ4