Find the perimeter of the semicircular region. Round your answer to the nearest hundredth



9 m



The perimeter is about



meters

Using the expansion of inequality, The smallest integer , n is 3 .

we have given in question that , n is an integer such that ,

(x²+y²+z²)²≤n(x⁴+y4⁴+z⁴)

Let us consider, a=x², b=y², and c=z² which are all nonnegative i.e a,b,c >0 , n>3 but we find least value of n

So, the above inequality become,

(a+b+c)² ≤ n (a²+b²+c²) ----(*)

by expanding both side of above equation we get, a² + b²+ c² + 2(ab + bc + ac) ≤n( a²+b²+c²)

2(ab + bc + ac) ≤ (n- 1) (a²+b²+c²)

=> (ab+bc+ac) ≤ (n- 1)/2 (a²+ b²+c²)

=> (xy)²+ (yz)²+(xz)²≤ (n-1)/2(x⁴+y⁴+z⁴)

If we put n=3− ∈ where ∈ >0 and x=y=z then

3 ≤ 2 or 1/2 which is wrong . Hence, the smallest value of n is 3.

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Complete question

Find the smallest integer n such that

(x2+y2+z2)2≤n(x4+y4+z4)

for all real numbers x,y, and z.

The domain is:

This comes from the fact that the function will go in both ways of the plane.

Therefore the answer is B.

Answer:

The number is 15

Step-by-step explanation:

x = a number

4/3 x - 12 = 8

Rearrange the equation so that the integers are on one side - in the format Ax = B

4/3 x - 12 = 8

4/3 x = 8 + 12

4/3 x = 20

Simplify the equation - in the format x = A - then solve for x

4/3 x = 20

4 x = 20 * 3

4 x = 60

x = 60 / 4

x = 15

\( \large \bf \implies{A\: number\: is\:15}\)

A number is x

then we have \(\frac{4}{3}\)x - 12 = 8

\( \bf \longrightarrow \frac{4}{3}x - 12 = 8 \\ \\ \bf \longrightarrow \frac{4}{3}x = 8 + 12 \\ \\ \bf \longrightarrow \frac{4}{3}x = 20 \\ \\ \bf \longrightarrow 4x = 20 \times 3 \\ \\ \bf \longrightarrow4x = 60 \\ \\ \bf \longrightarrow x = \frac{ \cancel{60}}{ \cancel{4} } \\ \\ \bf \longrightarrow \: x = 15\)

'Four thirds of the number is \(\frac{4}{3}x\) then decreased by 12 is \(\frac{4}{3}x - 12\) then gives the result 8. That is \(\bf\frac{4}{3}x - 12 = 8\)'

Answer:

D. $6,423.20

Step-by-step explanation:

You have to pay $6,423.20 for seven such bonds.

Answer:

d

Step-by-step explanation:

Answer:

increase percent=12%

hom much increase

500 of 12%

500×12/100=60

new value=500+60

new value=560

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Answer:

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

Step-by-step explanation:

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

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

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

The value of r when s = 9 is 12 using the linear relationship between the quantities.

Given that there is a linear relationship between the quantities whose values are represented by s and r in the table below.

The value of r when s = 9.

So we need to find out the value of r when s = 9. To do this, we need to determine the equation of line that represents the relationship between s and r.

To find the equation of a straight line when two points on it are given we use the slope formula:  m = (y2 - y1) / (x2 - x1)We choose two points that belong to the line to calculate the slope.

We can use the points (6, 10) and (12, 18)

Let’s find the slope, m = (y2 - y1) / (x2 - x1)    m = (18 - 10) / (12 - 6)       m = 8 / 6       m = 4 / 3So we have the slope m = 4/3 .

We can use the slope and the coordinates of one of the points (6, 10) to determine the equation of the line:y - y1 = m (x - x1)y - 10 = 4/3 (x - 6)y - 10 = 4/3 x - 8

So the equation of the line is:y = 4/3 x + 2

Now we can find r when s = 9 by substituting 9 for s in the equation:y = 4/3 x + 2y = 4/3 (9) + 2y = 12

We have r = 12 when s = 9

Therefore, the value of r when s = 9 is 12.

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Answer:

56 drinks

Step-by-step explanation:

7 drinks = 1 coconut

x drinks = 8 coconut

cross multiply

x drinks = 7 × 8

x drinks = 56

so you can make 56 drinks with 8 coconuts

Answer:

One coconut = 7 drinks

Eight coconuts = X drinks

So set up the equation;

________   _________ = _________, solve for x:-

7/1 = x/8

*8     *8

56 = x, 56 drinks can be made with 8 coconuts.

Step-by-step explanation:

slope = ( y2-y1) / (x2-x1)

= (5-3) / (11-7)

= 1/2

y= mx+ b

m = slope

5 = 11/2 + b

5 - 5.5 = b

b = -0.5

the equation y = 1/2(x) - 0.5

The equation of line is x-2y =1

Slope-intercept form: The equation of line with slope m and making an intercept c on the y-axis, is y = mx + c.

Given coordinates are:

(7, 3) and (11, 5)

now, equation of line

(y- y1)= (y2-y1)/(x2-x1) *(x-x1)

y-3 =(5-3)/(11-7) *(x-7)

y-3= 2/4 * (x-7)

y-3= 1/2(x-7)

2y-6= x-7

x-2y =1

Hence, the equation of line is x-2y =1.

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Answer:

Step-by-step explanation:

s:m = 7:5

s = 7x, m = 5x

(7x+10):(5x+10) = 9:7

(7x+10)/(5x+10) = 9/7

7(7x+10) = 9(5x+10)

49x+70 = 45x+90

x = 5

s = 7x = 35, m = 5x = 25

Sonu is 35, Monu is 25

The population means may be the same

So, option D is correct.

What is meant by confidence interval?

In statistics, the probability that a population parameter will fall between a set of values a predefined percentage of the time is known as the confidence interval. Analysts typically use confidence intervals that cover 95% or 99% of the expected observations while assessing data. In frequentist statistics, an estimation range for an unknown parameter is referred to as a confidence interval. The most common confidence level for computing confidence intervals is 95%, however other levels, such 90% or 99%, are also occasionally employed. The conclusion is reached that the result is statistically significant if the confidence interval eliminates the value of zero effect.

If (μ₁- μ₂=0) is included in the confidence interval, that means this two means have the same difference that is zero.

Therefore, they may be nearly same,

So, The population means may be the same

Hence, option D is correct.

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Answer:

137.5 is the answer

Step-by-step explanation:

2.5x5 is 12.5 and 2.5x50 is 125,  add them and you get 137.5

Answer:

There was more precipitation in the year 2010.

Step-by-step explanation:

Here in this question, we have the data for the amount of precipitation received in two different years in a city called Sacramento.

Now, we are tasked with finding in which of the two years was there more precipitation.

From the question, we can identify the following;

in 2010, precipitation was 23 inches

in 2011, precipitation was 17 inches

We can see that 23 inches is greater than 17 inches. So what this mean is that the precipitation in 2010 was more than the precipitation received in 2011.

The length of the median from vertex E is 2 * sqrt(5).

In geometry, a vertex of a triangle is a point where two or more sides of the triangle intersect. A triangle has three vertices, one at each endpoint of its three sides. The three vertices of a triangle are denoted by capital letters, usually A, B, and C.

To find the length of the median from vertex E, we need to first determine the midpoint of the side opposite to vertex E, which is the midpoint of FG. We can use the midpoint formula to find this point:

Midpoint of FG = ( (x_F+x_G)/2, (y_F+y_G)/2 )

= ( (-4+0)/2, (-4+4)/2 )

= (-2, 0)

Next, we can use the distance formula to find the length of the line segment between E and the midpoint of FG:

Length of median from vertex E = distance between E and midpoint of FG

= sqrt( (x_E - x_midpoint)^2 + (y_E - y_midpoint)^2 )

= sqrt( (2 - (-2))^2 + (-2 - 0)^2 )

= sqrt(16 + 4)

= sqrt(20)

= 2 * sqrt(5)

Therefore, the length of the median from vertex E is 2 * sqrt(5).

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Isaac need to invest $ 36720.

Given,

Isaac is going to invest in an account paying an interest rate of 6.3% compounded monthly.

and,  the value of the account to reach $57,000 in 7 years.

To find the how much would Isaac need to invest.

Now, According to the question:
Let x be the invest in an account.

Based on the given conditions,

formulate:

x . \((\)1 + 6.3%/ 12\()^7^.^1^2\) = 57000

Solve the equation

x . (1 + 0.063/12\()^7^.^1^2\) = 57000

Convert decimals to integers

x . (1 + 63/12000\()^7^.^1^2\) = 57000

Reduce the fraction

x . (1 + 21/4000\()^7^.^1^2\) = 57000

x . (\(\frac{4000+21}{4000})^8^4\) = 57000

Calculate the sum or difference

x . (4021 / 4000\()^8^4\) = 57000

x = \(\frac{57000}{(\frac{4021}{4000})^8^4 }\)

Simplify using exponent rule with same exponent :

\((ab)^n = a^n . b^n\)

x = \(\frac{57000 . 4000^8^4}{4021^8^4}\)

Solve the above equation, we get

x = 36720

Hence, Isaac need to invest $ 36720

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The difference in the areas of the signals based on the information given is 549.5km².

The formula to calculate the area of a circle will be:

= πr²

where r = radius

Mast 1 broadcast radio signals that can be heard within a radius of 15km. The area will be:

= πr²

= 3.14 × 15²

= 706.5km²

Mast 2 broadcast radio signals that can be hear within a radius of 20km. The area will be:

= πr²

= 3.14 × 20²

= 1256km²

The difference in the areas will be:

= 1256km² - 706.5km²

= 549.5km²

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Complete question

Mast 1 broadcast radio signals that can be heard within a radius of 15km.

Mast 2 broadcast radio signals that can be hear within a radius of 20km.

Calculate the difference in the areas of the signals.

Option (B) is the correct answer.

A company plans to spend $8,000 in year 2 and $10,000 in year 4. At an interest rate of 10% per year, compounded semiannually. The equation that represents the equivalent annual worth A in years I through 4 is given by option (B).That is;Option (B) represents the equation that represents the equivalent annual worth A in years I through 4.

The formula for equivalent annual worth is given by;A = PW (A/P, i, n) + F(A/F, i, n)where,PW = Present WorthF = Future WorthA/P = Present Worth FactorA/F = Future Worth Factori = interest raten = number of yearsSo,A = 8000(P/A, 10/2,2) + 10000(F/A, 10/2,4)A = 8000(3.1051) + 10000(0.6848)A = 24,840.80 + 6848A = $31,688.80The equation that represents the equivalent annual worth A in years I through 4 is represented by the option (B);A = 8000(P/A, 10.25/2,2) + 10000(F/A, 10.25/2,4).

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Answer:

  acute, because 10²+12²>15²

Step-by-step explanation:

You want to classify a triangle with sides 10 in, 12 in, and 15 in.

The "form factor" (f) of the triangle can be computed as ...

  f = a² +b² -c²

where a, b, c are the side lengths in increasing order. This is positive for an acute triangle, negative for an obtuse triangle, and zero for a right triangle.

  f = 10² +12² -15² = 100 +144 -225 = 19

  f > 0

That is to say 10² +12² > 15², so the triangle is acute

__

Additional comment

The largest angle in the triangle is arccos(f/(2ab)). In this triangle, that is ...

  arccos(19/(2·10·12)) ≈ 85.46°, an acute angle

Answer:

(y – 4) = 2(x – 2)

Step-by-step explanation:

point slope: y – y₁ = m ( x - x₁ ).

slope: m = ∆y / ∆x.

_______________

m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]

= 2

____________________________

(2, 4) → (x₁, y₁).

2 → m.

y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).

Answer:

y-4=2(x-2)

Step-by-step explanation:

The oscillator frequency is 0.5 MHz (megahertz).

In digital electronics, an oscillator is a circuit that generates a continuous and repetitive waveform at a specific frequency.

This frequency is usually determined by the machine cycle, which is the time it takes for a single machine cycle to execute in a computer system.

The oscillator frequency can be calculated as the reciprocal of the machine cycle time.

If the machine cycle is given as 2 μs (microseconds), then the oscillator frequency is:

f = 1 / T

where T is the machine cycle time.

Substituting the given value of T, we get:

f = 1 / (2 μs)

To simplify this expression, we can convert microseconds to seconds by dividing by \(10^6:\)

\(f = 1 / (2 \times 10^-6 s)\)

Simplifying further, we get:

\(f = 0.5 \times 10^6 Hz\)

Therefore, the oscillator frequency is 0.5 MHz (megahertz).

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Answer:

$573

Step-by-step explanation:

40% of 955 is 382, so subtract that from 955.

Answer:

The Correct Answer are B and D

Step-by-step explanation:

Answer:

B And D

Step-by-step explanation:

Answer:

c.4

Step-by-step explanation:

hope it helps ............

The mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

The mode is defined as the number that occurs most frequently in a list of numbers. In a set of numbers, there can be one mode, more than one mode, or no mode at all.

To find the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18}, we need to identify the number that appears most frequently. Here, we can observe that 12 is the number that appears twice, while all the other numbers only appear once.

Therefore, the mode for this list of numbers is 12. It's important to note that if there are multiple numbers that appear with the same highest frequency, then all of them are considered as modes. For instance, if the list of numbers was {5, 9, 12, 11, 12, 19, 19, 18}, then both 12 and 19 would be modes since they each appear twice.

In conclusion, the mode is one of the measures of central tendency in statistics. It represents the number that appears most frequently in a given list of numbers. In the example above, the mode for the list of numbers {5, 9, 12, 11, 12, 19, 18} is 12.

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The probability that a slice contains less than 154 milligrams of sodium given that a randomly chosen slice of white bread has a mean of 110 milligrams with a standard deviation of 25 milligrams can be calculated using z-score.What is the probability that a slice contains less than 154 milligram of sodium?The formula for calculating z-score is given below;z= (x-μ) / σwhere;x is the value of interestμ is the mean of the populationσ is the standard deviationIn this case;x = 154μ = 110σ = 25To compute the z-score;z= (154-110) / 25z= 1.76To find the probability that the value is less than 154 milligrams, we look up the value of 1.76 on the z-table.Using a z-table or calculator, the probability that a slice contains less than 154 milligrams of sodium is about 0.960.

Answer:

The question you are asking is a bit unclear but I might be able to offer some insight.

2(l + w) is sometimes used as the formula for the perimeter of a rectangle.

If l represents the length and w represents the width, then the perimeter (sum of the sides) is l + w + l + w.

This simplifies algebraically as 2l + 2w and can be factored into 2(l + w).  

So, to find the perimeter of the rectangle you must double the sum of the length and width.

Not sure if I helped, but finger crossed!!  :)

Step-by-step explanation:

It is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

In probability theory, a continuous random variable is a variable that can take on any value within a certain range or interval.

As a result, the probability that a continuous random variable takes on a specific value is zero, since there are infinitely many possible values the variable can take on.

Therefore, it is not meaningful to compute the probability that a continuous random variable is exactly equal to a number.

However, it is meaningful to compute the probability that a continuous random variable is greater than or equal to a number, less than or equal to a number, or between two numbers.

These probabilities can be calculated using the cumulative distribution function (CDF) of the random variable. The CDF gives the probability that a random variable takes on a value less than or equal to a certain value, which can be used to compute probabilities for ranges of values.

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