Help pleaseeeeeeeeee

Answer:

Option 2 i.e. 9√2 is the correct option.

Step-by-step explanation:

Given the expression

\((\sqrt{200}\:+\:\sqrt{128})\)

The half of \((\sqrt{200}\:+\:\sqrt{128})\) can be determined by dividing the expression in half.

Therefore, we need to solve the expression such as

\(\frac{\left(\sqrt{200}\:+\:\sqrt{128}\:\right)}{2}\)

as

\(\sqrt{200}=\sqrt{100\times 2}=\sqrt{100^2\times \:2}=10\sqrt{2}\)

\(\sqrt{128}=\sqrt{64\times 2}=\sqrt{8^2\times \:2}=8\sqrt{2}\)

so the expression becomes

\(\frac{\left(\sqrt{200}\:+\:\sqrt{128}\:\right)}{2}=\frac{10\sqrt{2}+8\sqrt{2}}{2}\)

Add similar elements:  \(10\sqrt{2}+8\sqrt{2}=18\sqrt{2}\)

                     \(=\frac{18\sqrt{2}}{2}\)

Divide the numbers: 18/2 = 9

                      \(=9\sqrt{2}\)

Therefore, we conclude that:

\(\frac{\left(\sqrt{200}\:+\:\sqrt{128}\:\right)}{2}=9\sqrt{2}\)

Hence, option 2 i.e. 9√2 is the correct option.

The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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Answer:

no

Step-by-step explanation:

it depend on the question

Step-by-step explanation:

Answer:

7r^2-64r+64

49r-64r+64

-15r+64

Step-by-step explanation:

The capacity of the storage container is 36ft³.

What do you mean by capacity?

The greatest amount a container can hold when full is known as capacity in mathematics. Metric measurement and conventional measurement are the two types of capacity measurements.

According to data in the given question,

The deposit of fertilizer in one week= 1.5ft³

After 5 weeks deposits of fertilizer= 15ft³

Now, we need to determine the deposits of fertilizer in 14 weeks,

The deposit of fertilizer in 14 week= 14× 1.5ft³

                                                         =21ft³

Then, the total capacity of the storage container= deposite in 5 weeks + deposits in 14 weeks

=15ft³+21ft³

=36ft³

Therefore, the capacity of storage container is 36ft³.

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The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.

The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.

In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.

Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.

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Answer:

Step-by-step explanation:

Remark

A B and D refer to what the cylinder can contain. They all refer to the hollowed out part of the cylinder.

C is the only one that talks about what you need to cover the cylinder with (say) paper or cloth. C is external to the surface of the cylinder.

Answer: C

x=14 in is the smaller part of lumber

55-x=55-14=41 in is the larger  part of lumber

Linear equations are described for strains withinside the coordinate system. If an equation has  homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have  variables, they may be known as bivariate linear equations.

Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables,  and  examples of them with complete explanations.

Let x=the smaller part

Then 55-x=the larger part

Now we are told the following:

2(55-x)=5x+12 simplify

110-2x=5x+12 add 2x to and subtract 12 from each side

110-2x+2x-12=5x+2x+12-12 collect like terms

98=7x

x=14 in--------------------smaller part

55-x=55-14=41 in-----------larger part

CK

2 times larger part=2*41=82 in

5 times smaller part=5*14=70 in

70+12=82

82=82

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Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

The scientist is approximately 3933 miles away from the International Space Station.

To determine the distance between the scientist and the International Space Station, we can use the law of cosines. The law of cosines states that in a triangle, the square of one side is equal to the sum of the squares of the other two sides minus twice the product of their lengths and the cosine of the included angle.

In this case, the Earth's radius (r) is 3959 miles, and the space station orbits 205 miles above the surface of the Earth. The central angle between the scientist and the space station is 32.4°. Using the law of cosines, we can calculate the distance (d) between them as follows:

d² = r² + (r + h)² - 2r(r + h)cos(32.4°)

where h is the height of the space station above the Earth's surface. Plugging in the values, we get:

d² = 3959² + (3959 + 205)² - 2 * 3959 * (3959 + 205) * cos(32.4°)

Simplifying this equation gives us:

d ≈ 3933 miles

Therefore, the scientist is approximately 3933 miles away from the International Space Station.

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The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

Slope 1/3

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

slope = \(\frac{1}{3}\)

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (9, 1) ← 2 points on the line

m = \(\frac{1-(-1)}{9-3}\) = \(\frac{1+1}{6}\) = \(\frac{2}{6}\) = \(\frac{1}{3}\)

If x is the largest of the three consecutive integers, then the three consecutive integers can be represented as x-1, x, and x+1.

The sum of these three consecutive integers is:

(x-1) + x + (x+1)

Simplifying the expression, we get:

3x

Therefore, the expression in terms of the given variables that represents the sum of three consecutive integers when x is the largest is 3x.

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Answer:

x =7

Step-by-step explanation:

3x - 9 + 12 - 6x = -18

Combine like terms

-3x +3 = -18

Subtract 3 from each side

-3x +3 -3 = -18 -3

-3x = -21

Divide each side by-3

-3x /-3 = -21 /-3

x =7

Answer:

\(x=7\)

Step-by-step explanation:

\(3x - 9 + 12 - 6x = -18\)

\(3x+ - 9 + 12+ - 6x = -18\)

\(3x+- 6x + - 9 + 12+ = -18\)

\(-3x+ 3= -18\)

\(-3x= -18-3\)

\(-3x= -21\)

\(3x=21\)

\(x=21/3\)

\(x=7\)

Yes the yacht pass under the bridge , the bridge is 2.7248 tall and the yacht is 2.3386 tall.

Given:

From a point at the waters edge, a bridge arch 52 m away has an angle of elevation of 3°, and the top of a yacht mast 11 m away has an angle of elevation of 12°.

Let x and y be the length of bridge and yacht.

tan 3° = x/52

x = 52*tan 3°

= 52*0.0524

= 2.7248 tall

tan 12° = y/11

y = 11*tan 12°

= 11*0.2126

= 2.3386 tall

Therefore Yes the yacht pass under the bridge , the bridge is 2.7248 tall and the yacht is 2.3386 tall.

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The hypothesis test aims to determine if the average time Americans spend watching television per day is lower than four hours. The null hypothesis (H0) states that the average is equal to or greater than four hours, while the alternative hypothesis (Ha) suggests that the average is lower than four hours.

In this hypothesis test, we assume that the population standard deviation (σ) is known and equal to 2. The null hypothesis (H0) can be stated as "The average time Americans spend watching television per day is equal to or greater than four hours" while the alternative hypothesis (Ha) can be stated as "The average time Americans spend watching television per day is lower than four hours."

To conduct the hypothesis test, we need a sample of data. Unfortunately, the question does not provide any specific data to work with. Without actual data, it is not possible to perform calculations or reach a conclusion. However, the general process for conducting a hypothesis test would involve collecting a representative sample of Americans' television viewing habits, calculating the sample mean, and comparing it to the null hypothesis value of four hours. By analyzing the sample data, we can determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that the average time spent watching television is lower than four hours.

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Answer:

they are the same probability : 1/6 for each

Step-by-step explanation:

they both have 6 sides and should both have a 1 on them, therefore meaning, they have the same probability

Answer: Where they bisect each other at W the 2 lines  are split in the center by one another which means both of those lines are 180

Step-by-step explanation:

Answer:

  SAS

Step-by-step explanation:

You have segments UT and VS bisecting each other at point W, and you want to show triangles UWV and TWS ae congruent.

Each half of the segment is congruent to the other half:

  UW≅TW and VW≅SW

The angles between them are vertical angles so are congruent:

  ∠UWV ≅ ∠TWS

So, you have congruent corresponding sides and the angle between. The triangles UWV and TWS are congruent by the SAS congruence postulate.

__

Additional comment

You can use substantially the same argument to say triangles UWS and TWV are congruent. The proof above shows UV≅TS. The congruence of triangles UWS and TWV shows US≅TV. Hence the figure TSUV is a parallelogram.

Answer: 23.129

Step-by-step explanation:

The equation for the contour of `f(x, y) = 2x^2` that goes through the point `(5, 2)` is `2x^2 = c = 50`.

The given function is given by `f(x, y) = 2x^2 y + 9x+ 15`

To find an equation for the contour of the given function, we can use the following steps:

Step 1: Replace `f(x, y)` with `c`

Step 2: Write the resulting equation as `y =` or `x =`

Step 3: Simplify the equation

Step 4: Write the equation in terms of `c` and simplify it.

Now let's solve the given problem.1. Find an equation for the contour of `f(x, y) = 2x^2 y + 9x+ 15`

First, let us replace `f(x, y)` with `c`.

Thus, `2x^2 y + 9x+ 15 = c`

This can be rewritten as `y = - 9/ (2x) - (15/ (2x^2)) + c/(2x^2)`

Hence, the equation for the contour of `f(x, y) = 2x^2 y + 9x+ 15` is `y = - 9/ (2x) - (15/ (2x^2)) + c/(2x^2)`2.

Find an equation for the contour of `f(x, y) = 2x^2` that goes through the point `(5, 2)`

The given function is `f(x, y) = 2x^2`.

If the equation has to pass through the point `(5, 2)`, then the value of `c` can be found using the given point.`f(5, 2) = 2(5)^2 = 50`

Thus, `c = 50`.

Hence, the equation for the contour of `f(x, y) = 2x^2` that goes through the point `(5, 2)` is `2x^2 = c = 50`.

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\(\boxed{21}\)

When you multiply a negative and a negative, it is going to be a positive number. In this case, we're multiplying -3 and -7, which is equal to 21. If you're not sure of the answer for multiplication problems like this, just use a calculator to check your work.

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------

When you multiply two negatives (-, -,), you are gonna get a positive(+)

[Like making a cross out of two lines].

\(-3(-7) = +3(+7)\)

Answer:

-7/5.

Step-by-step explanation:

Leave the denominators the same and subtract only the numerators. Since -3 is negative and 4 is a positive being subtracted, you get -7 as the numerator. So, it's -7/5.

A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x

Given that,

We have to draw the area that the provided curves surround. Choose x or y as the integration direction. Label the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x

We know that,

y=eˣ, x=π/2, y=cos x

Now area of the shaded region is

A=\(\int\limits^\pi/2_ x=0 \int\limits^e^{2} _y=cosx {dy} \, dx\)

A=\(\int\limits^\pi/2_0 {e^{x}-cosx } \, dx\)

Now we integrate with respect to x.

A=[eˣ-sinx]₀π/2

A=[e to the power of π/2- sin(π/2)]-[e⁰-sin(0)]

A=[e to the power of π/2-1]-[1-0]

A=[e to the power of π/2-1-1]

A=[e to the power of π/2-2]

Therefore, A=[e to the power of π/2-2] when the height and breadth of a typical approximate rectangle that you have drawn. then locate the region's area. y=eˣ, x=π/2, y=cos x

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The 95% confidence interval for the difference between the two population means is (-1,9).

The 95% confidence interval is a range of values that you can be 95% certain contains the true mean of the population. As the sample size increases, the range of interval values will narrow, meaning that you know that mean with much more accuracy compared with a smaller sample.

We have given that,

the point estimate of the difference between the means = 4,

the standard error = 5

and we need to find 95% confidence level for the difference between the two population means.

We know the formula of confidence interval, that is

CI = difference in mean ± error

⇒ CI = 4 ± 5

CI = 4 + 5 = 9

CI = 4 - 5 = -1

Therefore confidence interval for the difference between the two population means is (-1 , 9).  

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We can rewrite the first expression into the second one, so we conclude that the two are equivalent.

Let's start with the left one, and try to get to the right one.

Remember the properties:

(a^n)^m = a^(n*m)

√a = (a)^(1/2)

Now, the first expression is:

(p^2*n^(1/2))^8*√(p^5*n^4)

The left side of that expression can be rewritten as:

(p^2*n^(1/2))^8 = (p^(2*8)+n^(8/2)) = (p^16*n^4)

Now the right side can be rewritten as:

√(p^5*n^4) = (p^5*n^4)^(1/2) = p^(5/2)*n^(4/2) = p^(5/2)*n^2

Then our expression becomes:

(p^16*n^4)*p^(5/2)*n^2

Now, remember that exponents of the same base just add eachother, then:

(p^16*n^4)*p^(5/2)*n^2 = (p^16*p^(5/2))*(n^4*n^2)

= p^(16 + 5/2)*n^(4 + 2)

= p^(18 + 1/2)*n^6 = p^18*n^6*(p)^1/2 = p^18*n^16*√p

So, we started with one of the expressions, and we arrived at the other only rewriting the first one, which means that the two expressions are equivalent.

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It will take 5 weeks for every member to play each of the other members of the club.

What are the arrangements?

A strategy or preparation for something, especially for it to occur in a certain way: Two days a week, she had the plan to work from home. The motel was filled, so we had to find another place to stay.

Here, we have

A chess club meets every week and has 6 members.

Each member of the club plays one opponent each week.

We have to find out how many weeks will it take for every member to play each of the other members of the club.

Total number of matches played = (6×5)/2 = 15

Games per week = 3

Every member is to play each of the other members of the club = 15÷3= 5.

Hence, it will take 5 weeks for every member to play each of the other members of the club.

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The probability of Stephen Curry making exactly three of his next five free throws is 0.3264 or 32.64%.

\(p(x) = nCx * p^x * q^(n-x)\)

where:

n = total number of attempts (5 in this case)

x = desired number of successes (3 in this case)

p = probability of success (0.92 in this case)

q = probability of failure (1 - p, or 0.08 in this case)

Plugging these numbers into the equation gives us:

p(3) = 5C3 * 0.92^3 * 0.08^2 = 0.3264

Stephen Curry is a professional basketball player in the NBA who is known for his incredibly accurate shooting ability. He made 92% of his free throws during the 2018-2019 regular season with the Golden State Warriors. We can calculate the probability of Curry making exactly three of his next five free throws using the binomial probability formula. This formula takes into account the probability of the event (Curry making the free throw) and the number of attempts (five). In this case, the probability of success (Curry making the free throw) is 0.92 and the number of attempts is five. Plugging these numbers into the equation gives us a probability of 0.3264 or 32.64%. This means that Curry has a 32.64% chance of making exactly three of his next five free throws.

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