the office and the living room in a tiny house share a wall the area of the office is 28 feet the area of the living room is 63

Answer:

x = 5

Step-by-step explanation:

7(2 - 6x) = -196

14 - 42x = -196

14 - 42x - 14 = -196 - 14

-42x = -210

-42x/-42 = -210/-42

x = 5

Answer:

5

Step-by-step explanation:

7(2 - 6x) = -196                Remove the brackets

7*2 - 7*6x = - 196

14 - 42x = - 195               Subtract 14 from both sides

-42x = - 196 - 14

-42x = - 210                    Divide by 42

x = - 210 / - 42

x = 5  

Answer:

x=5   y=-2

Step-by-step explanation:

Thats the right way, you can use this method to find ur answer.

if possible give me a brainliest. Thanks. Good day!!

Answer:

£1 =  $1.67

Step-by-step explanation:

If £3 is $5 then

5/3 = 1.67

We have to find the value of  `(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)`

Let's find all trigonometric ratios:

We can say that:

\($$\tan \theta= \frac{opp}{adj}= \frac{-4}{3}$$$$\text\)

{Using the Pythagorean Theorem we can find the hypotenuse }

\($$$$\text{Hypotenuse = } \sqrt{(-4)^2+(3)^2}\)

\(= \sqrt{16+9}\)

= \(\sqrt{25}\)

=\(5$$$$\)

Substituting the values of sinθ, cosθ and tanθ in `

\(= \frac{\frac{3}{5} + \frac{-4}{5} - \frac{-4}{3}}{\frac{-4}{5} + \frac{5}{3} - \frac{-3}{4}}$$$$\)

\(=\frac{\frac{9}{15} + \frac{-12}{15} + \frac{20}{15}}{\frac{-16}{20} + \frac{25}{12} + \frac{3}{4}}$$$$\)

\(=\frac{\frac{17}{15}}{\frac{-14}{15}}$$$$\)

\(=-\frac{17}{14}$$\)

Therefore, \(`(sinθ+cosθ−tanθ)/(secθ+cscθ−cotθ)\)` is equal to

`-17/14` when `tanθ=−43` (Quadrant II).

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Answer:

side AB = \(9\sqrt{2}\)

hypotenuse CB = 18

Step-by-step explanation:

with a 45-45-90 triangle, we know that the two legs (AC and AB in this picture) are the same length, so if AC is \(9\sqrt{2}\) , then AB would have to be the same so therefore it would also be \(9\sqrt{2}\). We also know that the length of the hypotenuse (CB) is the length of the leg times \(\sqrt{2}\). So, it would be \((9\sqrt{2} ) *\sqrt{2}\), which is the same as saying \(9*(\sqrt{2}) * (\sqrt{2} )\). Doing \((\sqrt{2}) * (\sqrt{2} )\) would cancel out the square roots, leaving you with just 2, so you get 9*2, which is 18.

Answer:

Step-by-step explanation:

use integration

Answer:

2700 square inches

Step-by-step explanation:

Given a rectangular barn door with dimensions:

The area of front side of the door is:

The rate of change of profit with respect to time when x = 40 units and dx/dt = 5 is 1000 units per time unit (e.g. dollars per hour, if time is measured in hours).

To find the rate of change of profit with respect to time, we need to use the formula:

Profit = Revenue - Cost

Also, use the chain rule of differentiation, which states that if y is a function of u, and u is a function of x, then:

\(dy/dx = dy/du * du/dx\)

In this case, Profit is a function of x, and x is a function of time (t), so we can write:

\(dP/dt = dP/dx * dx/dt\)

where P is the profit function.

We are given the revenue and cost functions, so we have

\(Revenue = R(x) = 250x \\

Cost = C(x) = 50x + 3000\)

where x is the number of units produced and sold.

Using the formula for profit, we have,

\(Profit = P(x) = R(x) - C(x) \\

Profit = 250x - 50x - 3000 \\

Profit = 200x - 3000\)

To find the rate of change of profit with respect to time, differentiate P(x) with respect to x and then multiply by dx/dt: by

\(dP/dt = dP/dx * dx/dt \\

dP/dt = (d/dx)(200x - 3000) * 5 \)

(assuming dx/dt = 5 when x = 40)

dP/dt = 200 * 5

dP/dt = 1000

Hence, the rate of change of profit with respect to time when x = 40 units and dx/dt = 5 is 1000 units per time unit (e.g. dollars per hour, if time is measured in hours).

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To show h(t) = |r(t)|², where r(t) is a complex-valued function, we need to first find the magnitude of r(t) and then square it.

Let r(t) = x(t) + i y(t) be a complex-valued function, where x(t) and y(t) are the real and imaginary parts of r(t), respectively. The magnitude of r(t) is given by |r(t)| = √(x(t)² + y(t)²), which is the distance of the point (x(t), y(t)) from the origin in the complex plane.

To find |r(t)|², we simply square the magnitude, i.e., |r(t)|² = (x(t)² + y(t)²).

Therefore, h(t) = |r(t)|² = (x(t)² + y(t)²),

which is the sum of the squares of the real and imaginary parts of r(t).

In the case where r(t) is a real-valued function, i.e., y(t) = 0, then h(t) reduces to h(t) = r(t)².

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Using the rules of exponents, the expression (5 x^−5 y^3)^−2 is equivalent to x^10 / (25 y^6) or "x raised to the tenth power over quantity 25 times y raised to the sixth power end quantity".

Given: (5 x^−5 y^3)^−2

1. Distribute the power of two using the Power of a Power Rule. "When a power is raised to another power, multiply the exponents."

5^−2 x^(−5)(−2) y^(3)(−2) =  5^−2 x^10 y^-6

2. Use Negative Rule of Exponent. "A number with a negative exponent should be put to the denominator, and vice versa."

5^−2 x^10 y^-6 = (x^10) / (5^2 y^6)

3. Simplify the constant term.

(x^10) / (5^2 y^6) = x^10 / 25 y^6

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Answer:

10.50

Step-by-step explanation:

Answer:

C and D on E2020

Step-by-step explanation:

Answer:

The answer is 649.

Step-by-step explanation:

\({\tt{\underline{\underline{\purple{SOLUTION:}}}}}\)

To solve the above equation we will follow the BODMAS rule.

It stands for :

Solving this question by bodmas rule :

\( \tt{ = 9 \times 2 + ({5}^{3} \times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (5 \times 5 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (25 \times 5\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (125\times 5) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + (625) + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 60 \div 10}\)

\( \tt{ = 9 \times 2 + 625 + 6}\)

\( \tt{ = 18 + 625 + 6}\)

\( \tt{ = 643+ 6}\)

\( \tt{ = \red{649}}\)

Hence, the answer is 649.

\(\rule{300}{2.5}\)

The inverse of a function can be found by swapping the numbers in each ordered pair of the function.

When you have a function with ordered pairs, the inverse of that function can be found by reversing the order of the numbers within each pair. In other words, if you have a function f(x) with ordered pairs (a, b), the inverse function, f^ (-1) (x), will have ordered pairs (b, a). This process essentially switches the input and output values of the original function.

To find the inverse of a function, simply swap the numbers in each ordered pair, resulting in the ordered pairs for the inverse function.

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The estimator Y/n converges to the true value of θ, which is a positive constant. Hence, Y/n is a consistent estimator of θ, which is the population parameter.

The probability density function fY(y) can be written as follows:

fY(y) = (1/θ) * exp(-y/θ)

The cumulative distribution function can be calculated by integrating fY(y) with respect to y:

F(Y) = ∫(0 to y) fY(u) du = ∫(0 to y) (1/θ) * exp(-u/θ) du= -exp(-u/θ) * θ from 0 to y= 1 - exp(-y/θ)

Therefore, the likelihood function is given by:

L(θ | y₁, y₂,..., yn) = fY(y₁) * fY(y₂) * ... * fY(yn)= [(1/θ) * exp(-y₁/θ)] * [(1/θ) * exp(-y₂/θ)] * ... * [(1/θ) * exp(-yn/θ)]= (1/θ)^n * exp{(-y₁ - y₂ - ... - yn)/θ}

The log-likelihood function can be calculated as follows:

ln[L(θ | y₁, y₂,..., yn)] = ln[(1/θ)^n * exp{(-y₁ - y₂ - ... - yn)/θ}]= n ln(1/θ) + [(-y₁ - y₂ - ... - yn)/θ]= -n ln(θ) - (1/θ) * ΣYj

Here, ΣYj = Y₁ + Y₂ + ... + Yn.

Therefore, θˆ is the maximum likelihood estimator of θ, which can be obtained by maximizing the log-likelihood function or minimizing the negative log-likelihood function.

The derivative of the negative log-likelihood function can be calculated as follows:

d/dθ [-ln(L(θ | y₁, y₂,..., yn))] = (n/θ) - (1/θ²) * ΣYj= n/θ - Y/θ²

where Y = ΣYj is the sum of observations in the sample.

The estimator  θˆ  is the value of θ that satisfies the following equation:

n/θ - Y/θ² = 0=> θˆ = Y/n

As the sample size becomes larger, the sample mean converges to the population mean.

Therefore, the estimator Y/n converges to the true value of θ, which is a positive constant. Hence, Y/n is a consistent estimator of θ, which is the population parameter.

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Answer:

answer is on my head

Step-by-step explanation:

I need points

Answer:

Step-by-step explanation:

43 students in drama (D)

43D

52 doing dance

If

21 students do both drama and

dance, how many students are at

the meeting each month given

that everyone attend?

43+52=95

95+21+21=137 students are at the meeting.

Values of parameters n and p for the binomial distribution with mean 6 and variance 3.6 are n=15 and p=0.4, respectively.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical trials, where each trial can result in only two possible outcomes, often labeled as "success" and "failure".

The distribution depends on two parameters: the probability of success (p) and the number of trials (n). The probability of getting exactly k successes in n trials can be calculated using the binomial probability mass function.

The binomial distribution has applications in various fields, including quality control, genetics, and finance, among others.

We know that for a binomial distribution, the mean and variance are given by:

Mean = np

Variance = np(1-p)

Substituting the given values, we have:

Mean = 6

Variance = 3.6

Thus, we can write two equations:

6 = np

3.6 = np(1-p)

We can solve for n and p by substituting the first equation into the second equation:

3.6 = (6/p) * (1-p) * p

3.6 = 6 - 6p

6p = 6 - 3.6

p = 0.4

Substituting this value of p into the first equation, we get:

6 = n * 0.4

n = 6 / 0.4

n = 15

Therefore, the values of the parameters n and p are n = 15 and p = 0.4, respectively.

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The maximum limit to add the videos or images in Carousel is 10MB and the aspect ratio to add the images or videos is 1:1

There are many applications that are present where the videos and images can be added in the websites. The maximum images in the in few website is nine, but in carousel is 10MB of size and also it can be added up to 1:1 ratio of aspect size. The Carousel also allows the user to add slides and images. It helps to add the graphical representation.

The size of the videos must be from 60 seconds to 30 seconds of size and also the video includes the visual templets that help the user to have the presentation in an effective ways. There are many templets that also helps the  user to present in a professional way.  The carousel is a cloud representation that helps to create the slideshow online and also present it in the blockage videos. The online photos and images can also be added.

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Answer:

4*s= 520

s= 130

area=s*s=130*130=16900m^2

Step-by-step explanation:

First, you need to find the slope.

m= \(\frac{rise}{run}\) = \(\frac{y2 -y1}{x2-x1}\)

slope: m= 1/2x

Next, find the y-intercept.

Y-Intercept: 1/2

y=mx+b

Equation: y= 1/2x+1/2

The y-intercept is the point on the y-axis. When you're graphing, you need to graph the y-intercept first. Then graph the slope.

Hope this helps!

Answer:

\(12w^7 z^6\)

Step-by-step explanation:

\(2w^5 z(6w^2 z^5)=(2)(6)w^5 w^2 z^5 z=12w^7 z^6\)

The percentage off of the coupon is 25%

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

Normal price = $24

Amount saved = $6

The above parameters mean that

Percentage of the coupon = Amount saved/Normal price

Substitute the known values in the above equation, so, we have the following representation

Percentage of the coupon = 6/24

Evaluate

Percentage of the coupon = 25%

Hence, the percentage is 25%

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Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Answer:

216

Step-by-step explanation:

Find each angle's value. This is a pentagon, so 360/5 = 72. Now, to get from A to D, you have to go 3 spaces counter-clockwise. This'll get you 72 x 3 = 216.

Yes

Step-by-step explanation: because The triangle has a 90 degree shape so it’s right

Answer:

yes at 2 it's making an angle of 90⁰ so it's a right angle triangle

Based on the data, the median time it takes players to complete the game is 1148 minutes.

It is the mathematical value that is the middle when values are sorted.

457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864

Identify the value of the middle

Considering there are 13 values, the value of the middle is the value number 7 or 1148.

Note: This question is incomplete because the data is missing, below I attached the missing section,

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Part A: It can be written as y = sin(x - c), where c represents the amount of phase shift. Part B: We can use the equation y = sin(x - a), where a represents the amount of rightward shift. Part C: The period is the distance between corresponding points on the graph, such as two peaks or two troughs. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself.

1. Part A: To introduce a phase shift to the parent sine function y = sin(x), we subtract a constant value c from the input variable x. The equation y = sin(x - c) has an identical graph to the parent sine function, but it is shifted horizontally by an amount of c units to the right or left. The value of c determines the amount of phase shift, where a positive value shifts the graph to the right, and a negative value shifts it to the left.

2. Part B: To map the parent sine function onto itself by shifting it to the right, we can use the equation y = sin(x - a), where a represents the amount of rightward shift. By subtracting a constant value a from the input variable x, the graph is shifted a units to the right while maintaining the same shape.

3. Part C: The equations in parts A and B indicate that the period of the sine function remains the same. The period of the sine function is the distance between corresponding points on the graph, such as two peaks or two troughs. Introducing a phase shift or rightward shift does not alter the period; it only changes the starting point or position of the graph.

4. Part D: There are infinitely many equations that can be written to map the parent sine function onto itself. By combining different values of phase shifts and rightward shifts, we can obtain various equations. The sine function is periodic, meaning it repeats itself indefinitely. Any combination of phase shift and rightward shift will result in the same graph repeating after a specific interval, which is the period of the sine function. Therefore, there is no limit to the number of equations that can be written to achieve this mapping.

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