find the missing number in each below

1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)

pasagot po plss​

The area of a regular polygon inscribed in a circle is given by A = (1/2)nr^2sin(2π/n), where n is the number of sides and r is the radius of the circle.

For a square, n = 4, so A(square) = 2r^2.

For a regular octagon, n = 8, so A(octagon) = 2(2+√2)r^2.

The ratio of the areas is:

A(octagon)/A(square) = [2(2+√2)r^2]/(2r^2) = 2+√2 ≈ 3.83

Therefore, the octagon covers approximately 283% more of the circle's area than the square.

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The equivalent expressions to 5x + 30x - 15x are given as follows:

A) 5x(1 + 6 - 3).

B) 5(x + 6x - 3x).

C) (5 + 30 - 15)x.

Equivalent expressions are expressions that have the same result when they are simplified as much as possible.

The expression for this problem is given as follows:

5x + 30x - 15x

Combining the like terms, the result is given as follows:

35x - 15x = 20x.

Hence the equivalent expressions are given as follows:

A) 5x(1 + 6 - 3) = 5x + 30x - 15x = 20x.

B) 5(x + 6x - 3x) = 5x + 30x - 15x = 20x.

C) (5 + 30 - 15)x = 5x + 30x - 15x = 20x.

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Answer:

y = 4x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b

Given

y + 5 = 4(x + 2) ← distribute the parenthesis

y + 5 = 4x + 8 ( subtract 5 from both sides )

y = 4x + 3 ← in slope- intercept form

The variance is a measure of how much the values in a dataset vary or spread out from the average or expected value

In probability theory and statistics, variance is a measure of how much the values in a dataset vary or spread out from the average or expected value. Specifically, it is the average of the squared differences between each value and the mean of the dataset.

More formally, if X is a random variable with expected value E(X), then the variance of X is defined as:

Var(X) = E[(X - E(X))^2]

In simpler terms, variance is a way to quantify how much the values in a dataset deviate from their average. A small variance indicates that the values are closely clustered around the mean, while a large variance indicates that the values are more spread out from the mean.

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Answer: x=27    y=4

Step-by-step explanation:

Let the larger of two numbers is x and the smaller of two numbers is y

Hence,

\(\displaystyle\left \{ {x-5y=7} \atop {x+y=31}} \right.\\\\\left \{ {{x-5y=7} \atop {x+y-y=31-y}} \right. \\\\\left \{ {{x-5y=7\ \ \ \ \ (1)} \atop {x=31-y}\ \ \ \ (2)} \right. \\\)

Substitute equation (2) into equation (1):

\(31-y-5y=7\\31-6y=7\\31-6y+6y=7+6y\\31=7+6y\\31-7=7+6y-7\\24=6y\\\)

Divide both parts of the equation by 6:

\(4=y\\Hence,\\x=31-4\\x=27\)

Answer:

[-3, -3]

Step-by-step explanation:

Simply divide the matrices together and you should find your solution.

Answer:108 houses

Step-by-step explanation:

Step 1: ratio of flats to bungalows is 10:5 and the bungalows are 30, therefore:

(10*30)/5 = 60 flats

Step 2: the ratio of houses to flats is 9:5 and the number of flats is 60, therefore

9*60/5 = 108 houses

The solutions of the given equations are,

(i) \(x=\frac{\pi }{2} , x= \frac{5\pi }{2} , x= \frac{9\pi }{2} , x = \frac{13\pi }{2} , x = \frac{17\pi }{2}\)

(ii)  x = 0, x = 2π, x = 4π, x = 6π, x = 8π.

(iii)

\(x = cot^-^1(4), x = cot^-^1(4)+\pi , x = cot^-^1(4)+2\pi , x = cot^-^1(4)+3\pi , \\x = cot^-^1(4)+4\pi\)

What is solution of the equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other terms, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transform the equation into an equality.

(i) cosec x = 1      for 0 ≤ x ≤ 360°

Since, the general solution for

cosec x = 1 is, \(x = \frac{\pi }{2} +2n\pi\)

The range for the solution is 0 ≤ x ≤ 360°

Hence,

\(x=\frac{\pi }{2} , x= \frac{5\pi }{2} , x= \frac{9\pi }{2} , x = \frac{13\pi }{2} , x = \frac{17\pi }{2}\)

(ii) sec x = 2

Since, the general solution for

sec x = 1  is, x = 0 + 2πn

The range for the solution is 0 ≤ x ≤ 360°

Hence,

x = 0, x = 2π, x = 4π, x = 6π, x = 8π.

(iii) cot x = 4

⇒ \(x = cot^-^1(4)\)

The range for the solution is 0 ≤ x ≤ 360°

Hence,

\(x = cot^-^1(4), x = cot^-^1(4)+\pi , x = cot^-^1(4)+2\pi , x = cot^-^1(4)+3\pi , \\x = cot^-^1(4)+4\pi\)

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Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.

Given that,
Frankie argues that the fraction 20 is a rational number because the square root of 20 is 10. Frankie believes that because 10 is a whole number, it is rational. Alejandro disagrees. He believes that 20 is a rational number because the square root falls between 4 and 5, and the decimal terminates.

Rational numbers are numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

Here,
20 is a rational number but its square root is not 10 so, Frankie is not correct.
The square root of 20 falls between 4 and 5 the decimal terminates. its true and Alejandro is correct.

Thus, Alejandro is correct because the 20 falls between 4 and 5 and the decimal terminates. Option B is correct.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

See answer is Explanation

Step-by-step explanation:

4 divided by 25 is 0.16

6 divided by 25 is 0.24

6 x 4 = 24

4 x 25 = 100

6 x 25 = 150

Answer:

It would be 11

Step-by-step explanation:

The square's diagonal length is; (E) d = 11√2.

A diagonal is a line segment that connects two vertices (or corners) of a polygon also, connects two non-adjacent vertices of a polygon.

This connects the vertices of a polygon, excluding the figure's edges.

A diagonal can be defined as something with slanted lines or a line connecting one corner to the corner farthest away.

A diagonal is a line that connects the bottom left corner of a square to the top right corner.

So, we need to determine the length of the square's diagonal.

The formula for the diagonal of a square is; d = a2; where 'd' is the diagonal and 'a' is the side of the square.

Now, d = 11√2.

Hence, the square's diagonal length is (E) d = 11√2.

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Answer: C

Step-by-step explanation:

I divide 5 by 3.35 and got 1.49

Answer:

C

Step-by-step explanation:

the answer is c bc if yu divide the number of pounds by the total cost

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

Answer:4 gallons of water ... 30 plants

x gallons of water = ? ... 45 plants

If you would like to know how much water will it take to water 45 plants, you can calculate this using the following steps:

4 * 45 = x * 30

180 = 30 * x    /30

x = 180 / 30

x = 6 gallons of water

Result: You will use 6 gallons of water to water 45 plants.

Step-by-step explanation:

Answers: Choice A, Choice C

======================================================

Reason:

The distributive rule can be used in reverse to help factor.

One way to do this is to say the following steps

60 - 36w

6*10 - 6*6w

6(10-6w)

Which leads to choice A. To confirm, we can distribute the outer 6 into each term inside the parenthesis.

Similarly, choice C works because...

60 - 36w

12*5 - 12*3w

12(5 - 3w)

It can be confirmed by working the steps backwards.

There are many ways to factor this because we have multiple ways to factor 60 and to factor 36, such that we pull out a common factor each time.

Something like choice B doesn't work because 4(15-8w) = 60-32w. Close but not quite there.

Choice D doesn't work either since 3(20+12w) = 60+36w

The time it takes for a light signal or radio message to travel to Pluto and return takes approximately 39,920 seconds for a light signal or radio message to travel to Pluto and return.

Given that Pluto is located at a distance of 5.98 x 10^14 centimeters from Earth and the speed of light is 2.99 x 10^10 centimeters per second, we can compute the time as follows:

Time = Total Distance / Speed of Light

Time = (2 * 5.98 x 10^14 cm) / (2.99 x 10^10 cm/s)

Time = 3.992 x 10^4 seconds

The speed of light is a fundamental constant in physics, denoted by the symbol "c." In a vacuum, light travels at a constant speed of approximately 2.99 x 10^10 centimeters per second. This speed is incredibly fast, allowing light to cover vast distances in a short amount of time.

To calculate the time it takes for a light signal or radio message to travel to Pluto and return, we need to consider the round trip distance. Since the message must travel to Pluto and then return to Earth, we double the distance between the two celestial bodies.

In this case, the given distance from Earth to Pluto is 5.98 x 10^14 centimeters. By dividing this distance by the speed of light, we can determine the time it takes for the signal to cover that distance.

It's important to note that the calculated time represents the theoretical travel time for a light signal or radio message. However, in practice, there may be additional factors to consider, such as signal transmission delays or the presence of obstacles that could affect the actual time taken for communication between Earth and Pluto.

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Cystic fibrosis is an autosomal recessive genetic disorder. This means that in order for a child to have cystic fibrosis, both parents must be carriers of the recessive gene.

When both parents are carriers, the probability for each child to inherit the disorder is as follows:

1. 25% chance of having cystic fibrosis (inheriting two copies of the recessive gene)
2. 50% chance of being a carrier (inheriting one copy of the recessive gene)
3. 25% chance of not being a carrier or having the disorder (inheriting no copies of the recessive gene)

Since the question states that the first two children do not have cystic fibrosis, this does not affect the probability of the third child having cystic fibrosis. The probability remains the same for each pregnancy.

Therefore, the probability of the third child having cystic fibrosis is still 25%. It's important to note that the probabilities are independent for each child, meaning the outcome of one child's genetic inheritance does not influence the outcome for another child.

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Marcus is 59.5 inches tall.(?)

Step-by-step explanation:

it's because Zoey is 63.75 inches tall and Zoey is just 4.25 inches taller than Marcus so 63.75 minus 4.25 is equal to 59.5.(not sure)

SRRC is a pulse shaping filter used in digital communications to minimize intersymbol interference and improve the signal-to-noise ratio.

The square root raised cosine (SRRC) is a famous heartbeat molding channel utilized in computerized correspondences, especially in applications like advanced tweak and demodulation. It is intended to limit intersymbol obstruction (ISI) by restricting the data transmission of the sent sign while keeping a consistent envelope.

The SRRC channel is described by a reaction that is like the raised cosine channel, yet with a square root capability applied to the recurrence reaction. This outcomes in a smoother change between the passband and stopband, which assists with decreasing ISI and work on the sign to-clamor proportion.

The SRRC channel is usually utilized in correspondence frameworks that utilization quadrature sufficiency regulation (QAM) or stage shift keying (PSK) tweak plans, as it gives great ghastly control and heartbeat molding properties that are appropriate to these kinds of signs.

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We need to graph the next given inequalities:

For 2x+y<1.

We need to find the x-intercept and y-intercept

To find the y-intercept, set x=0

To find the x-intercept, set y=0

The symbol "<" means less than, so we get the next graph:

For the second inequality y>1/2x+2

To find the y-intercept, set x=0

Answer:

2. AB ║ DC - Corresponding Angles Corollary

3. <BCD ≅ <BAD - Alternate Interior Angles Theorem

4.  <D is a right angle. - Given

5. AC = AC - Reflexive Property

6. ΔABC ≅ ΔCDA - ASA Postulate (Angle-Side-Angle)

Answer:

x=2

Step-by-step explanation:

1. AB=AC (The triangle is isosceles. This means that at least two of its sides are equal in length. Looking at the triangle in the picture, sides AB and AC look the same, so we will assume that they are equal. Note that as you get more advanced, assuming isn't the best strategy. You should always try to look for hints if you are ever unsure. For example, if there are two angles that are the same measure in a triangle, the two sides that are only touching one of these angles are equal in length. This is called the base angles theorem converse.)

2. 9x-3=6x+3 (Rewrite sides AB and AC as the values given in the picture. This is called substitution.)

3. 9x=6x+6 (Add 3 to each side)

4. 3x=6 (Subtract 6x from each side)

5. x=2 (Divide each side by 3)

let me know if i did anything wrong, hope this helps!!

The given initial-value problem is x(dy/dx)y = 2x + 1, y(1) = 9.

To solve this problem, we first rearrange the equation as (1/y) dy = (2/x + 1/x) dx. We can integrate both sides, which gives us ln|y| = 2ln|x| + ln|x| + b, where b is the constant of integration.

Simplifying this expression, we get ln|y| = 3ln|x| + b. Exponentiating both sides, we obtain |y| = eᵇ * x³. Since y(1) = 9, we substitute x = 1 and y = 9 into the equation, which gives us 9 = eᵇ * 1³, or b = ln 9. Therefore, the solution to the initial-value problem is y = ±9x³.

To solve this initial-value problem, we first rearranged the given equation to put it in a form that we can integrate. We then integrated both sides of the equation, introducing a constant of integration. By substituting the initial value of y, we were able to determine the value of the constant of integration and thus find the final solution to the initial-value problem.

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Answer:

−1.8

Step-by-step explanation:

The statement ''the symbol μ ˆ p represents the proportion of a sample of size n, not the proportion of a sample of size n.'' is false because the symbol "μ ˆ p" does not represent the proportion of a sample of size n.

In statistical notation, the symbol "μ ˆ p" typically represents the sample proportion, which is an estimate of the population proportion. The sample proportion is obtained by dividing the number of occurrences of a specific event in the sample by the sample size.

On the other hand, the population proportion, denoted by "p," represents the proportion of the entire population that exhibits a certain characteristic or has a specific attribute.

The symbol "μ ˆ p" could be a typographical error or a confusion between different symbols used in statistics. The correct symbol to represent the sample proportion is usually denoted as "p ˆ" or "p-hat." The symbol "μ" typically represents the population mean.

Therefore, it is incorrect to state that "μ ˆ p" represents the proportion of a sample of size n.

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Answer:

AC = 9

Step-by-step explanation:

We solve using Pythagoras Theorem

The formula is given as:

a² + b² = c²

Where:

AC = a = ?

AD = b= 12

DB = c = 15

Hence,

a² + 12² = 15²

a² = 15² - 12²

a² = 225 - 144

a² = 81

Square root both sides

√a² = √81

a = 9

Hence, AC = 9

Answer:

You would have 4945 dollars in 5 years.

Step-by-step explanation:

First we look for what 3% of 4300 is

After we find it we have 129 dollars

Every year we gain 129 dollars for 5 years

129 · 5 = 645

Now we add :         4300 + 645 = 4945 dollars after 5 years

If the volume of the cube is 1 ft cubed each side of this cube is 1 cube.

In Mathematics, the volume of a cube is calculated by using this following formula:

V = m³

Where:

Substituting the given points into the volume of a cube formula, we have the following;

1 = m³

By taking the cubic root of both sides of the equation, we have the following:

Side length, m = ∛1

Side length, m = 1

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