Building on case project 13-1, you want to be able to check the status of the blinds and make them controllable using your mobile phone through your home network. you also want to have a series of indicators on the device that indicate the following status conditions: 1. power is applied to the device. 2. the device detects someone in the room. 3. direct sunlight is detected. 4. it is dark. what hardware changes do you need to make to this project

Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

6x^2-5x+1

Step-by-step explanation:

Use the foil method:

multiply 2x with 3x and -1.

then multiply -1 with 3x and -1

when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables

The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.

Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:

= (80 × 5 × £11)

= £440

When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:

= (4 × 7 × £11)

= £308

The percentage reduction will be:

= Difference on amount / Old amount × 100

= (440 - 308) /440 × 100

= 132/440 × 100

= 0.3

= 30%

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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan

Remember that

A function is an even function if f of x is equal to f of −x for all the values of x

and

f(x) is an odd function when f(-x) = -f(x)

Verify each function

N 1

we have

we have that

f(x)=f(-x) -----> that means even function

N 2

we have

f(x)=2

so

f(x)=f(-x) ---> that means even function

N 3

we have

we have that

f(-x)=-f(x) -----> is a odd function

N 4

we have

Verify if the function is odd

True, a data warehouse allows users to specify certain dimensions or characteristics.

In a data warehouse, dimensions represent the different aspects or characteristics by which data can be categorized or analyzed. These dimensions can include various attributes or variables that provide context and organize the data.

Users of a data warehouse can specify these dimensions based on their analytical needs and the nature of the data being stored.

For example, in a sales data warehouse, common dimensions may include product, customer, time, and location.

By specifying these dimensions, users can slice and dice the data based on different criteria and gain insights from various perspectives.

By defining dimensions, users can navigate through the data warehouse and perform multidimensional analysis using tools such as OLAP (Online Analytical Processing).

Dimensions provide a structure for organizing and querying data in a way that facilitates analysis and reporting.

In summary, a data warehouse allows users to specify dimensions or characteristics that help organize and analyze the data stored in the warehouse. These dimensions provide a framework for users to navigate and explore the data from different perspectives.

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Answer:

49(pi)

Step-by-step explanation:

Area of a circle = (pi)r squared

= 7 squared (pi)

= 49(pi)

= 49 x pi

Answer:

49(pi)

Step-by-step explanation:

Answer:

25.75x+9.25

Step-by-step explanation:

9.25 is the constant. You multiply the ticket by the amount of people to get ticket cost. Then you add ticket cost 9.25 to get final answer.

Inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

We have been given that the group of friends has no more than $245  to spend on parking and admission.

And the parking is $9.25, and tickets cost $25.75 per person, including tax.

Let the number of people would be p who can go to the amusement park,

So the inequality that expresses the relationship is

⇒ 9.25 + 25.75 × p ≤ 245  

Therefore, inequality is 9.25 + 25.75 × p ≤ 245 which represents the maximum number of people who can go to the amusement park.

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Answer:

Area of a triangle = 1/2 * base * height

here ,

base = 120 ft

height = 25 ft

Area = 1/2* 120*25

= 60 * 25

= 1500 ft²

Answer 2

Answer:

1/2 * base * height

so 1/2 * 25 * 120

= 1500

The answer is 5

Braineist pls?

-Liyah

The probability of winning is 0.00078395061 or approximately 0.078%.

There are five dice, and each dice has six sides.

There are a total of 6^5 possible outcomes.

This gives us 7776 possible outcomes.

We want to find the probability that we get at least four 6s in the next round.

The probability of getting exactly four 6s can be found by using the binomial distribution, which is given by the formula:

P(4) = (5 choose 4) * (1/6)^4 * (5/6)^1

P(4) = 5 * (1/6)^4 * (5/6)^1

P(4) = 0.00077160493

The probability of getting exactly five 6s can be found in a similar way:

P(5) = (5 choose 5) * (1/6)^5 * (5/6)^0

P(5) = 1 * (1/6)^5 * (5/6)^0

P(5) = 0.00001234568

The probability of getting at least four 6s is the sum of the probabilities of getting exactly four 6s and exactly five 6s.

P(at least 4) = P(4) + P(5)

P(at least 4) = 0.00077160493 + 0.00001234568

P(at least 4) = 0.00078395061

So, the probability of winning the next round by rolling at least four number 6's is 0.00078395061. This is equivalent to approximately 0.078%. Hence, the probability of winning is 0.00078395061 or approximately 0.078% which is calculated by using binomial distribution formula.

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Answer:

3

Step-by-step explanation:

Step-by-step explanation:

multiplied exponents are added.

like x² × x³ = x⁵

so, up there we have

(-2x³y⁴)(-3x⁴y⁴).

as all operations (except for the exponents) are simms multiplications, this results in one longer expression.

(-2)x³y⁴(-3)x⁴y⁴.

we can unite terms of the same base unit.

-2 × -3 = 6

x³x⁴ = x⁷

y⁴y⁴ = y⁸

so, we get

6x⁷y⁸

Answer:

b=6.92820323

Step-by-step explanation:

To find b, you would do the opposite from ^2 which is the square root. So the square root of 48. That is 6.92820323

Answer:

b ≈ 6.928 or 4√3

Step-by-step explanation:

b² = 48. To find b, we need to square root both sides (we are doing the opposite of squaring):

b = √48 = 4√3 or ≈ 6.928

Hope this helps!

The dimensions of the marble is thus 10∛18 cm when the volume is 18000 cm³.

An object's capacity is the amount of material it can hold inside, while an object's volume is the amount of space it takes up. Here, the cubic unit is used to measure either of the two.

Cubic units are used to measure volume. The quantity of cubes needed to completely fill any given figure, such as blocks in a box, is its volume.

As there is no  definite shape is given we can assume that the shape is cube.

Volume of cube = a³

given the volume 18000cm³

dimensions of the marble,

a × a × a = 18000

a³ = 18000

a = ∛18000

a = 10∛18

a = 26.21

Hence, the dimensions of the marble is thus 10∛18 cm when the volume is 18000 cm³.

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The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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Given that the mean is 3.015 g and the standard deviation is 0.025 g. Let X be the actual weight of the tablet. We are to find the probability that the actual weight is within 0.25 g of the prescribed weight.

Then we have to find the required probability. P(X is between 2.765 and 3.265)=? Using the normal distribution, the required probability can be expressed as, P(2.765 < X < 3.265)=P(X < 3.265) - P(X < 2.765)This is because the area under the curve between the two limits is the same as the difference in the area under the curve from zero to the upper limit and from zero to the lower limit.

P(2.765 < X < 3.265) =P((X - μ) / σ is between (2.765 - 3.015) / 0.025 and (3.265 - 3.015) / 0.025) =P(-10.0 < Z < 10.0) ≈ 1.0000 - 0.0000 = 1.0000Therefore, the main answer is P(2.765 < X < 3.265) = 1.0000 (rounded to four decimal places). Thus, the probability that the actual weight is within 0.25 g of the prescribed weight is 1.0000 (rounded to four decimal places). This implies that all the tablets manufactured are within the required range.

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Answer: 25

Step-by-step explanation:

The area of the triangle JHI is 8.75 square units.

From the given figure,

Area of a ΔJHI = Area of a rectangle - (Area of 3 triangles)

= 5×4 - (1/2 ×3×4 + 1/2 ×2×3 + 1/2 ×1×5)

= 20 - (6+3+2.5)

= 20 - 11.25

= 8.75 square units

Therefore, the area of the triangle JHI is 8.75 square units.

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Answer:

$51.75

Step-by-step explanation:

Multiply 45.00 by 0.15 and you get 6.75

Once you get that add the 45.00 and the 6.75 to get 51.75 hope this helps

the approximate area of the surface obtained by rotating the given curve about the x-axis is 804 square units.

What is Area?

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. Generally, the area is the size of the surface

To find the area of the surface obtained by rotating the curve x = t², y = 2t (where 0 ≤ t ≤ 9) about the x-axis, we can use the formula for the surface area of revolution.

The formula for the surface area of revolution is given by:

A = 2π∫[a,b] y(t) √(1 + (dy/dt)²) dt

In this case, we have:

y(t) = 2t

dy/dt = 2

Substituting these values into the formula, we have:

A = 2π∫[0,9] 2t √(1 + 4) dt

A = 2π∫[0,9] 2t √(5) dt

A = 4π√5 ∫[0,9] t dt

A = 4π√5 [t²/2] [0,9]

A = 4π√5 [(9²/2) - (0²/2)]

A = 4π√5 [81/2]

A = 162π√5

Rounding this value to the nearest whole number, we get:

A ≈ 804

Therefore, the approximate area of the surface obtained by rotating the given curve about the x-axis is 804 square units.

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the approximate area of the surface obtained by rotating the given curve about the x-axis is 804 square units.

What is Area?

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object. Generally, the area is the size of the surface

To find the area of the surface obtained by rotating the curve x = t², y = 2t (where 0 ≤ t ≤ 9) about the x-axis, we can use the formula for the surface area of revolution.

The formula for the surface area of revolution is given by:

A = 2π∫[a,b] y(t) √(1 + (dy/dt)²) dt

In this case, we have:

y(t) = 2t

dy/dt = 2

Substituting these values into the formula, we have:

A = 2π∫[0,9] 2t √(1 + 4) dt

A = 2π∫[0,9] 2t √(5) dt

A = 4π√5 ∫[0,9] t dt

A = 4π√5 [t²/2] [0,9]

A = 4π√5 [(9²/2) - (0²/2)]

A = 4π√5 [81/2]

A = 162π√5

Rounding this value to the nearest whole number, we get:

A ≈ 804

Therefore, the approximate area of the surface obtained by rotating the given curve about the x-axis is 804 square units.

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Answer: i did c when i had the same question but it was just a guess

Step-by-step explanation:

The solution of an equation is x= -1.11 and x = 2.11.

A polynomial equation of the second degree is quadratic, which means that at least one of its terms must be squared. Quadratic equations are another name for it. The quadratic equation generally looks like this:

ax² + bx + c = 0, where x is a numerical coefficient and a, b, and c are unknown variables.

Given equation -3x² + 2x + 4 = -x - 3

simplify the equation we get

3x² - 2x - 4 -x -3 = 0

3x² - 3x - 7 = 0

The equation is solved by the Quadratic formula

x =  (-b ± \(\sqrt{b^{2} - 4ac }\))/2a

a = 3, b = -3, c = -7

x = [-(-3) ± \(\sqrt{(-3)^{2} - 4(3)(-7)}\)]/2(3)

x = (3 ± 9.643)/6

taking positive sign

x = 12.643/6 = 2.1072 = 2.11

taking negative sign

x = -6.643/6 = -1.1072 = -1.11

Hence the values of x are -1.11 and 2.11

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Answer:

50.27 cm

Step-by-step explanation:

4 to the second power=16

16×3.14=50.27

Answer:

i have no clue, sorry

Step-by-step explanation:

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

Based on the given information, we can match each dot plot with its median as follows:

Dot plot 1: Median = 6

Dot plot 2: Median = 15

Dot plot 3: Median = 12

Dot plot 4: Median = 13

Given that;

The medians of the following dot plots are 6, 12, 13, and 15,

Now,

Four dot plots labeled dot plot 1, dot plot 2, dot plot 3, and dot plot 4 each with the numbers 0 through 20, in increments of 2, indicated.

And, The data are as follows:

Dot plot 1: 1, 1 dot. 2, 1 dot. 5, 2 dots. 6, 2 dots. 7, 1 dot. 8, 2 dots. 9, 1 dot.

Dot plot 2: 10, 2 dots. 11, 2 dots. 15, 3 dots. 17, 1 dot. 18, 1 dot. 19, 1 dot.

Dot plot 3: 5, 1 dot. 6, 1 dot. 9, 1 dot. 11, 2 dots. 13, 1 dot. 14, 1 dot. 15, 3 dots.

Dot plot 4: 8, 2 dots. 10, 2 dots. 13, 2 dots. 14, 1 dot. 16, 3 dots.

Hence, By given condition we get;

Dot plot 1: Median = 6

Dot plot 2: Median = 15

Dot plot 3: Median = 12

Dot plot 4: Median = 13

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The length of a rock song, including 3.5 minutes, is better classified as discrete data since it consists of distinct, separate values rather than a continuous range of values.

The length of a rock song, such as 3.5 minutes, is actually considered to be from a discrete data set, not a continuous one.

Discrete data refers to values that can only take on specific, separate values within a given range. In the case of the length of a rock song, it is typically measured in whole numbers or specific increments (e.g., 3 minutes, 4 minutes, etc.). While it is possible to have decimal values for song lengths, like 3.5 minutes, they are not as common and usually represent exceptions rather than the norm.

Therefore, the length of a rock song, including 3.5 minutes, is better classified as discrete data since it consists of distinct, separate values rather than a continuous range of values.

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By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

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Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The answer is letter C.

Step-by-step explanation:

hope this helps

-12 < -4 < 3 < 10

Answer:

D. –12, |3|, |–4|, 10

Step-by-step explanation:

| - 4|, 10, - 12, |3|

4, 10, - 12, 3

- 12, 3, 4, 10