What is the area of a circle with the radius of 11.5 meters? ill give brainliest

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

i think it is the 3rd one hope this helps.

Step-by-step explanation:

Answer: x = 5

Use cross multiplication: A/B = C/D ⇒ AD = BC

(2x-5)/(3) = (x+5)/(6)

6(2x-5) = 3(x+5)

12x-30 = 3x+15 (Group the like terms)

12x-3x = 15+30

9x = 45 (Divide both sides by 9 to isolate for x)

x = 5

Answer:

x=5

Step-by-step explanation:

3x+15=12x-30>>>>9x=45>>>>x=5

Answer:

\( a = 4 \)

\( b = 2\sqrt{3} \)

Step-by-step explanation:

✔️Solving for a using trigonometric ratio:

reference angle = 60°

hypotenuse = a

adjacent = 2

Thus:

\( cos(60) = \frac{2}{a} \)

\( \frac{1}{2} = \frac{2}{a} \) (cos 60 = ½)

Cross multiply

\( 1*a = 2*2 \)

\( a = 4 \)

✔️Solving for b using trigonometric ratio:

reference angle = 60°

Opposite = b

Adjacent = 2

Thus:

\( tan(60) = \frac{b}{2} \)

Multiply both sides by 2

\( tan(60)*2 = \frac{b}{2}*2 \)

\( tan(60)*2 = b \)

\( \sqrt{3}*2 = b \) (tan 60 = √3)

\( 2\sqrt{3} = b \)

\( b = 2\sqrt{3} \)

Answer:

#7 can be simplified to -10 √15x -40 √5

#8 = -20 √6x +30x√2

#9 = 10x√6+3 √15xx

#10 = -20√6a -15 √2

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

3.2/0.4=8

8×2=16

16×0.4=6.4

6.4÷0.1=64

The number of square units occupied by the space inside the circle is called area

The number of square units occupied by the space inside a circle is given by the formula A = πr^2, where A is the area of the circle and r is the radius. The letter A is commonly used to represent area in mathematical equations. The formula states that the area of a circle is proportional to the square of its radius, meaning that as the radius increases, so does the area. The constant π, which is approximately equal to 3.14, represents the ratio of the circumference of a circle to its diameter.

The area of a circle can be used in many real-world applications, such as calculating the amount of space inside a circular room or the amount of material needed to cover a circular surface.

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Answer:

B) 3x - 4y = -28

Step-by-step explanation:

Perpendicular = 90 degree angle

Answer:

B) 3x - 4y = -28

a) Value of the test statistic is 1.54.

b) Range for the p-value is: 0.050 < p-value < 0.100

c) Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

d) Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

(a) To compute the value of the test statistic, we use the formula:

t = (x - μ) / (s / √n)

where;

x is sample mean

μ is hypothesized population mean

s is sample standard deviation

n is sample size.

Plugging in the given values, we get:

t = (14 - 12) / (4.54 / √25) ≈ 1.54

So the value of the test statistic is 1.54.

(b) To compute the p-value, we need to find the area under the t-distribution curve to the right of the test statistic. Using a t-table with 24 degrees of freedom (df = n - 1 = 25 - 1 = 24), we find that the closest value to 1.54 is 1.711.

The area to the right of 1.711 is between 0.05 and 0.10, so the range for the p-value is:

0.050 < p-value < 0.100

(c) At α = 0.05, the p-value (0.050 < p-value < 0.100) is greater than α, so we do not reject the null hypothesis. The conclusion is:

Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

(d) The rejection rule by using of the critical value is:

If t ≤ tα,df, reject H0.

If t > tα,df, do not reject H0.

At α = 0.05 and df = 24, the critical value (from a t-table) is 1.711. Since the calculated test statistic (1.54) is less than the critical value (1.711), we do not reject the null hypothesis. The conclusion is the same as in part (c):

Do not reject H0. Due to insufficient evidence to get a result that μ > 12.

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Answer:

6.4

Step-by-step explanation:

The line 4x + y = 30 is tangent to the parabola \(\(y = \frac{2}{5}x^2\)\) at the point \(\((5, 25\left(\frac{2}{5}\right))\)\).

To determine the values of a and b such that the line 4x + y = b is tangent to the parabola \(\(y = ax^2\)\), we need to find the point of tangency.

Given that the line is tangent to the parabola, the point of tangency will have the same x value for both the line and the parabola.

Let's substitute x = 5 into both equations and equate them:

For the line:

\(\(4(5) + y = b \Rightarrow 20 + y = b \Rightarrow y = b - 20\)\)

For the parabola:

\(\(y = a(5)^2 \Rightarrow y = 25a\)\)

Since the point of tangency has the same x value, we have:

25a = b - 20

To find the values of a and b, we need additional information. Let's assume the line is tangent to the parabola at the point (5, 25a).

The slope of the line is given by the coefficient of x in its equation, which is 4. The derivative of the parabola at the point of tangency will also give us the slope of the tangent line.

The derivative of the parabola \(\(y = ax^2\)\) with respect to x is:

\(\(\frac{dy}{dx} = 2ax\)\)

Evaluating the derivative at x = 5, we get:

\(\(\frac{dy}{dx} = 2a(5) = 10a\)\)

Since the slope of the tangent line is 4, we have:

10a = 4

\(\(a = \frac{4}{10}\)\)

\(\(a = \frac{2}{5}\)\)

Substituting the value of 'a' back into the equation 25a = b - 20, we can solve for b:

\(\(25\left(\frac{2}{5}\right) = b - 20\)\)

10 = b - 20

b = 10 + 20

b = 30

Therefore, the parabola is tangent to the line 4x + y = 30  \(\(y = \frac{2}{5}x^2\)\) at the point \(\((5, 25\left(\frac{2}{5}\right))\)\).

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Answer:

-1×(1)×2+3=1 This is the answer I think

Answer:

55..........................

Answer:

I'm not positive on this but I think the answer might be C 27 sin (39)/ sin (51)

Step-by-step explanation:

Answer:

784000

Step-by-step explanation:

Given data

Profit =  700000

Let us begin by finding what 12% of  700000 is

=12/100* 700000

=0.12* 700000

=84000

Hence the profit made last years was

=84000+700000

=784000

Answer:

b is 10.5 c is 11

Step-by-step explanation:

9+1.5

10.5

3(5)-4

15-4

11

The return value of the function call round(3.14159, 3) is c. 3.14. The round function rounds the first argument (3.14159) to the number of decimal places specified in the second argument (3). In this case, it rounds to 3.14.

The function call in your question is round(3.14159, 3). The "round" function takes two arguments: the number to be rounded and the number of decimal places to round to. In this case, the number to be rounded is 3.14159 and the desired decimal places are 3.

The return value is the result of the rounding operation. In this case, rounding 3.14159 to 3 decimal places gives us 3.142.

So, the correct answer is:

b. 3.142

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The ordered pair that is the solution to the equation -x + 5y = 3 is (-3,0) and (0, 0.6)

Ordered pair:

Ordered pairs refers a set of 2 numbers that exist in a particular order. The first one represents the x value and the second one refer the y value.

Given,

Here we need to find the ordered pair (x, y) that is a solution to the equation -x + 5y = 3

In order to find the solution ordered pair we have to plot this equation on the graph.

To plot this equation, we have to use the graphing calculator, and then input the given equation as the function, then we get the graph like the following.

While we looking into the graph, we have identified that the solution ordered pairs are (-3,0) and (0, 0.6)

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Answer:13.77 cm.

Step-by-step explanation:

r = sqrt((3V)/(pih))

= sqrt((31758)/(pi29))

= sqrt((5274)/(pi*29))

= sqrt(182.16)/(pi/29)

= 13.77 cm

Answer:

Step-by-step explanation:

Fiona's payment at the beginning of year 6 will be $110,977.32. The monthly payment is the amount of money that is due each month to pay off a loan.

To determine Fiona's payments at the beginning of year 6, we need to first calculate the monthly payment for the loan using the following formula:

Monthly Payment =\([P * R] / [1 - (1 + R) ^ (^-^N^)]\)

Where:

P = the loan amount (in this case, $305,000)

R = the monthly interest rate (in this case, 4.65%/12 = 0.0039583)

N = the number of monthly payments (in this case, 30 years x 12 months/year = 360 months)

Plugging these values into the formula, we get:

Monthly Payment = [$305,000 x 0.0039583] / [1 - (1 + 0.0039583) ^ (-360)]

= $1,534.61

To determine the payment at the beginning of year 6, we need to calculate the total number of payments that have been made up until that point. Since the payments are made monthly, at the beginning of year 6 there will have been 6 years x 12 months/year = 72 payments.

Therefore, Fiona's payment at the beginning of year 6 will be $1,534.61 x 72 = $110,977.32.

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The best approximation to a solution of the system of equations is x = -11 and y = 22.

A system of equations is a collection of two or more equations with the same variables. Solving a system of equations means finding the values of the variables that satisfy all the equations in the system.

In this case, you have a system of two equations:

4x + 2y = 0 and x + y = 11.

To find the best approximation to a solution of the system, we can use substitution or elimination methods.

First, we can isolate one of the variables in one of the equations.

=> 4x + 2y = 0.

Dividing both sides by 2, we get:

=> 2x + y = 0.

Now we have one equation in terms of one variable, which is y.

Next, we can substitute the expression for y from this equation into the second equation:

=> x + y = 11.

Replace y with -2x

=> x + (-2x) = 11.

=> -x = 11.

=> x = -11.

Finally, we can substitute the value for x back into one of the original equations to find the value of y.

Let's substitute x = -11 into the first equation:

=>  4(-11) + 2y = 0.

=> -44 + 2y = 0.

=> 2y = 44.

=> y = 22.

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If the median of a triangle is exactly half the length of the side to which it is drawn, then the triangle must be isosceles.

An isosceles triangle has two equal sides and two equal angles. The two equal angles are opposite the two equal sides. This means that if the median of a triangle is exactly half the length of the side to which it is drawn, then the triangle must have two equal angles.

Furthermore, since the triangle is isosceles, the two equal angles must add up to 180 degrees. Therefore, the two equal angles of the triangle must each measure 90 degrees. In other words, the triangle will have one right angle. This can be easily seen by looking at the triangle and noting that the two equal sides form a straight line across the triangle, creating a right angle.

In summary, if the median of a triangle is exactly half the length of the side to which it is drawn, then the triangle must be an isosceles triangle with two equal angles that add up to 180 degrees, each measuring 90 degrees. This means that the triangle will have one right angle.

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\(P(x < x_0) = ∫_0^x_0 f(x) dx\) ,\(P(x < 2) = ∫_0^2 (1/3) 4 e^-x/3 dx = -4e^-2/3 + 4\) ,  \(P(x > 3) = 1 - P(x < 3) = 1 - ∫_0^3 (1/3) 4 e^-x/3 dx = e^-1\) , \(P(x < 5) = ∫_0^5 (1/3) 4 e^-x/3 dx = -4e^-5/3 + 4\) , \(P(2 < x < 5) = P(x < 5) - P(x < 2) = (-4e^-5/3 + 4) - (-4e^-2/3 + 4) = 4e^-2/3 - 4e^-5/3\)

are the required solutions probability density function.

a. The formula for P(x < x_0) can be obtained by integrating the probability density function f(x) from 0 to x_0:  

\(P(x < x_0) = ∫_0^x_0 f(x) dx\)

b. To find P(x < 2), we can substitute x_0 = 2 into the formula above and evaluate the integral:

\(P(x < 2) = ∫_0^2 (1/3) 4 e^-x/3 dx = -4e^-2/3 + 4\)

c. To find P(x > 3), we can use the complementary probability:

\(P(x > 3) = 1 - P(x < 3) = 1 - ∫_0^3 (1/3) 4 e^-x/3 dx = e^-1\)

d. To find P(x < 5), we can again use the formula for P(x < x_0) and substitute x_0 = 5:

\(P(x < 5) = ∫_0^5 (1/3) 4 e^-x/3 dx = -4e^-5/3 + 4\)

e. To find P(2 < x < 5), we can use the cumulative distribution function:

\(P(2 < x < 5) = P(x < 5) - P(x < 2) = (-4e^-5/3 + 4) - (-4e^-2/3 + 4) = 4e^-2/3 - 4e^-5/3\)

In general, the exponential distribution is commonly used to model the time until an event occurs, such as the time between radioactive decays or the time until a customer arrives at a service station. The parameter 1/λ, where λ is the rate parameter, represents the average time until the event occurs. The exponential distribution has a memoryless property, which means that the probability of the event occurring in the next unit of time is independent of the time elapsed so far. This property makes the exponential distribution useful in many applications, such as queuing theory and reliability analysis.

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In the attached diagram the perimeter of the hall way is

The perimeter of the hall way is calculated by adding all the sides of the hallway

The perimeter of the hall way  = 2x - 7 + x + 1 + 4x - 9 + x - 2 + x + 2 + 3x - 11 + x - 2 + 3x - 11 + x + 4

adding like terms results to

The perimeter of the hall way  =  17x + (-34)

Finally, the simplified expression is:

17x - 34

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule : a^{-1}=\frac{1}{a} }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5} \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\ \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }\)

The height of the cube brick is 7 units and the volume is equal to 343 unit³

The volume of a cube is defined as the total number of cubic units occupied by the cube. The formula is given as V = a³ where "a" is the length of edge or sides.

The length of an edge for the cube brick is 7 units which implies the height represented by h is also 7 units and the volume is calculated as follows:

volume of cube brick = 7 units × 7 units × 7 units

volume of cube brick = 343 units ³

Therefore, the height of the cube brick is 7 units and the volume is equal to 343 unit³

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