Solve 4∣x+5∣=24

A.x = –11 and x = –1
B.x = 11 and x = –1
C.x = –11 and x = 1
D.x = 11 and x = –11

the actual perimeter of the living room  in the scale drawing  is 216 inches.

We can precisely portray locations, areas, structures, and details in scale drawings at a scale that is either smaller or more feasible than the original.

When a drawing is said to be "to scale," it signifies that each piece is proportionate to the real or hypothetical entity; it may be smaller or larger by a specific amount.

When something is described as being "drawn to scale," we assume that it has been printed or drawn to a conventional scale that is accepted as the norm in the construction sector.

When our awareness of scale improves, we are better able to quickly recognize the spaces, zones, and proposed or existent spatial relationships when looking at a drawing at a given scale.

One metre is equivalent to one metre in the actual world. When an object is depicted at a 1:10 scale, it is 10 times smaller than it would be in real life.

You might also remark that 10 units in real life are equivalent to 1 unit in the illustration.

If the length and breadth of the living room in real life are 9/4 inches each, we can use the given scale of the drawing to find the corresponding dimensions of the living room in the drawing:

1/4 inch = 2 feet

So, 9/4 inches in real life is equal to:

(9/4) inches / (1/4 inch per 2 feet) = 18 feet

This means that each side of the living room in the drawing would be 18/2 = 9 inches long.

To find the actual perimeter of the living room, we need to convert the dimensions back to real-life measurements and add up the lengths of all four sides:

Length in real life = 9/4 inches x 2 x 12 inches/foot = 54 inches

Breadth in real life = 9/4 inches x 2 x 12 inches/foot = 54 inches

Perimeter in real life = 2 x (Length + Breadth)

Perimeter in real life = 2 x (54 inches + 54 inches)

Perimeter in real life = 2 x 108 inches

Perimeter in real life = 216 inches

Therefore, the actual perimeter of the living room is 216 inches.

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Answer:

Step-by-step explanation:

A population parameter describes an entire population; a particular characteristic of an entire population. A value that describes the entire population. In this context, the population parameter is looking into the average ages of fathers when they had their first child, but this value is not given. The mean given here is the sample statistic.

Since, the population studied here is a very large population (all fathers), you have a statistic. But sometimes, if the population is very small and groups are small enough to measure, you have a parameter.

Answer:

5

Step-by-step explanation:

I=30

T=5

P=500

r=3

PLS BRAINLIEST

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The standard deviation of the given data can be calculated using the formula for the population standard deviation:

Standard deviation = √[∑(X - μ)² * f / N]

where X is the data value, μ is the mean, f is the frequency, and N is the total number of observations.

Given the data:

X: 3 4 5 6 7 8 9

f: 37 8 10 12 4 3 2

Assumed mean (μ) = 6

To calculate the standard deviation, we need to calculate the squared difference between each data value and the mean, multiply it by the frequency, and sum up these values. Then divide the sum by the total number of observations (N) and take the square root of the result.

Let's calculate it step by step:

(X - μ)² * f:

(3 - 6)² * 37 = 111

(4 - 6)² * 8 = 32

(5 - 6)² * 10 = 10

(6 - 6)² * 12 = 0

(7 - 6)² * 4 = 4

(8 - 6)² * 3 = 12

(9 - 6)² * 2 = 18

Sum of (X - μ)² * f = 187

Now divide the sum by the total number of observations (N = 37 + 8 + 10 + 12 + 4 + 3 + 2 = 76) and take the square root of the result:

Standard deviation = √(187 / 76) ≈ 1.82

Therefore, the standard deviation of the given data is approximately 1.82.

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Samantha would pay approximately R5,836.80 if she made this call every month for two years.

To calculate the total cost for Samantha if she made the call every month for two years, we need to determine the cost of a single call and then multiply it by the number of calls made. First, let's convert the call duration to seconds. Samantha spoke for 24 minutes, which is equal to 24 * 60 = 1440 seconds. The cost of a 30-second call is R3.20. Therefore, the cost of a 1440-second call is (1440 / 30) * R3.20 = 76 * R3.20 = R243.20. Next, we calculate the number of calls made in two years. There are 12 months in a year, so in two years, there are 2 * 12 = 24 months. Multiplying the cost per call by the number of calls made gives us the total cost: R243.20 * 24 = R5,836.80.

Therefore, Samantha would pay approximately R5,836.80 if she made this call every month for two years.

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To determine the sign of the sum of two integers when one integer is positive and the other is negative, we can follow a simple rule based on their magnitudes.

If the magnitude of the positive integer is greater than the magnitude of the negative integer, the sum will be positive. This is because the positive integer outweighs the negative integer, resulting in a positive value.

On the other hand, if the magnitude of the negative integer is greater than the magnitude of the positive integer, the sum will be negative. In this case, the negative integer dominates and determines the sign of the sum.

In both scenarios, the sign of the larger magnitude integer takes precedence and determines the sign of the sum. It is important to note that the sum will always have the sign of the integer with the larger magnitude, regardless of the specific values of the integers involved.

By considering the magnitudes of the integers, we can easily determine the sign of their sum when one integer is positive and the other is negative.

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A melting sphere of ice with volume and surface area formulas of V=(4/3)πr³ and A=4πr² respectively, is melting at 5 in³/min. With the differentiation of the volume and surface area formulas and a given radius of 4 inches.

We will consider a piece of ice in the shape of a sphere that is melting at the rate of 5 in³/min. We will model the volume of ice by a function of the radius 'r'. We will differentiate the formula for the volume and surface area of a sphere. We will find dr/dt when radius is 4 inches.
1: Write the formula for the volume and surface area of a sphere.
Volume (V) = (4/3)πr³
Surface area (A) = 4πr²
2: Differentiate both formulas with respect to time 't'.
dV/dt = (4/3)π(3r²)(dr/dt)

=> dV/dt = 4πr²(dr/dt)
dA/dt = 4π(2r)(dr/dt)

=> dA/dt = 8πr(dr/dt)
3: Given that the ice is melting at the rate of 5 in³/min, we have dV/dt = -5 (since the volume is decreasing).
4: Find dr/dt when the radius is 4 inches.
-5 = 4π(4²) (dr/dt)
Solve for dr/dt:
dr/dt = -5 / (4π(16))
dr/dt = -5 / 64π
So, the radius is changing at the rate of -5/(64π) inches/min when the radius is 4 inches.
5: Find dA/dt when the radius is 4 inches.
dA/dt = 8π(4)(-5/64π)
Simplify the expression:
dA/dt = -40/16π
dA/dt = -5/2π
So, the surface area is changing at the rate of -5/2π in²/min when the radius is 4 inches.
In conclusion, when the radius of the melting ice sphere is 4 inches, the radius is changing at a rate of -5/(64π) inches/min and the surface area is changing at a rate of -5/2π in²/min.

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The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

Heat transfer rate due to free convection from a vertical surface of 1.2 m high and 0.45 m wide to quiescent air that is 47°C colder than the surface can be calculated by using the following formula :Q = h × A × ΔTWhere Q is the rate of heat transfer, h is the convective heat transfer coefficient, A is the surface area, and ΔT is the temperature difference between the surface and the surrounding quiescent air.

The convective heat transfer coefficient can be calculated by using the following formula :h = Nu × k / LWhere Nu is the Nusselt number, k is the thermal conductivity, and L is the characteristic length. In this case, the characteristic length is the height of the surface. The Nusselt number can be calculated by using the following formula :

Nu =\(0.68 + (0.67 × Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9 )^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9 × (Gr × Pr / (1 + (0.492 / Pr)^(9/16))^4/9)^(1/4) × (1 + (0.492 / Pr)^(9/16))^2/9\)

Where Gr is the Grashof number, Pr is the Prandtl number, and L is the characteristic length. The Grashof number can be calculated by using the following formula :

Gr = gβΔT L³ / v²

Where g is the acceleration due to gravity, β is the coefficient of thermal expansion, ΔT is the temperature difference, L is the characteristic length, and v is the kinematic viscosity. The coefficient of thermal expansion can be calculated by using the following formula :

β = 1 / T_avg

Where T_avg is the average temperature of the surface and the surrounding quiescent air.

The kinematic viscosity can be calculated by using the following formula :

v = μ / ρ

Where μ is the dynamic viscosity and ρ is the density. The dynamic viscosity can be obtained from the given data. The density can be calculated by using the ideal gas law :

ρ = P / R T

Where P is the pressure, R is the gas constant, and T is the temperature. The pressure can be assumed to be constant. The gas constant can be obtained from the given data. State applicable assumptions : The surface is vertical. The flow is steady and laminar.

The surface is sufficiently large so that the effects of edge conditions can be neglected. The properties of the fluid are constant. Radiation heat transfer is neglected. The flow is natural (free) convection. The Prandtl number is constant.

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Answer:

5

Step-by-step explanation:

9-4=5

Answer:

Step-by-step explanation:

Garden is in the shape of triangle.

\(Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}\)

Drive way:

length = 4 + 10 = 14m

Width = 3 m

Area  = length * width = 14 * 3 = 42 sq.m

Perimeter of the property:

Length = 14 m

Width = 3 + 9 + 6 = 18 m

Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m

Answer:

(5,1)

Step-by-step explanation:

2x-y=9

(5,1)

There are many ordered pairs you could choose. For instance if x=0, then y=9. So you have the pair (0,9). If y=0, then 2x=9, so x=4.5. So you have the pair (4.5,0). You can keep making pairs by plugging in different values!

Answer:

The probability is 1/2. Since there are 24 T-shirts in total and 12 is half of 24, the probability is 1/2.

Step-by-step explanation:

The age of Michael as of now is 6 years old as the age pf Norman will be 12 years. So option (B) 6 is correct answer.

Let N = Norman’s age now; (N + 6) = Norman’s age in 6 years.

Let M = Michael’s age now; (M + 6) = Michael’s age in 6 years.

Translate the first two sentences into equations. Note that the second equation deals with Norman and Michael’s ages in 6 years:

N=M+12

(N+6)=2(M+6)

The question asks for M, so substitute (M + 12) for N in the second equation:

(M+12)+6=2(M+6)

M+18=2M+12

M=6

Therefore, the age of Michael as of now is 6 years old. So option (B) 6 is correct answer.

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We can simplify \((16x^4)^(-1/2) to 1/(4x^2)\) using the properties of rational exponents.

Certainly! Here's an example:

Simplify the expression: \((16x^4)^(-1/2)\)

We can apply the property of rational exponents which states that \((a^m)^n = a^(m*n)\). Using this property, we get:

\((16x^4)^(-1/2) = 16^(-1/2) * (x^4)^(-1/2)\)

Next, we can simplify \(16^(-1/2)\) using the rule that \(a^(-n) = 1/a^n\):

\(16^(-1/2) = 1/16^(1/2) = 1/4\)

Similarly, we can simplify \((x^4)^(-1/2)\) using the rule that \((a^m)^n = a^(m*n)\):

\((x^4)^(-1/2) = x^(4*(-1/2)) = x^(-2)\)

Substituting these simplifications back into the original expression, we get:

\((16x^4)^(-1/2) = 1/4 * x^(-2) = 1/(4x^2)\)

Therefore, the simplified expression is \(1/(4x^2).\)

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The correct option is option( A).

Using the property of Obtuse Triangle, the triangle with sides { 8, 10, 14 } is an Obtuse Triangle.

Obtuse Triangle:

An obtuse triangle is a triangle with one interior angle greater than 90 degrees. In geometry, a triangle is represented as a closed 2D figure with three sides of equal or unequal length and three angles of equal or unequal measurements.

Obtuse triangle property:

we have given the sides of triangle so, we use the fourth property for check the triangle formed by given sides are obtuse triangle or not .

8² + 10² = 164; 14² = 196 -> obtuse

9² + 12² = 225; 15² = 225 -> not obtuse

10² + 14²= 296 ; 17²= 289 --> not obtuse

12² + 15² = 369; 19²= 361 --> not obtuse

Hence, the required triangle is triangle with sides 8, 10, 14.

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Complete Question:

which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle

A. 8, 10, 14

B. 9, 12, 15

C. 10, 14, 17

D. 12, 15, 19

Answer: the answer is A 8, 10, 14.

Step-by-step explanation: it show below.

Answer: 20 yrd²

Explanation

Given

• Bedroom measures: 12 ft by 15 ft

Procedure

To know how many sq yards we have to buy, first we have to convert 12 ft and 15 ft to yards, considering that 1 yrd = 3ft:

Finally, we have to calculate the area A we will cover by multiplying the dimensions given:

Answer:

2000

Step-by-step explanation:

brainliest plz

Answer:

Step-by-step explanation:

2 × 10^3

= 2 × 1000

= 2000

Hope this helps

plz mark as brainliest!!

Answer:

below

Step-by-step explanation:

In short, we will add both coefficients together to combine like terms.

3x + 5x → x(3 + 5) → 8x

If you have a value like 2x and 2, you cannot combine them because they do not have the same variable.

Best of Luck!

The sequence of steps you provided is generally correct for training a perceptron, although there are some additional steps that might be included in the process depending on the specific implementation.

Here is a more complete list of steps that might be followed in training a perceptron:

It's important to note that the specific details of how the perceptron is trained will depend on the specific implementation, such as the optimization algorithm used to update the weights, the size of the training dataset, and the number of epochs (iterations) of training.

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Answer:

-2-11n or 10-11n

Step-by-step explanation:

4-n+-10n-6= -2-11n

Hope this helps If this is wrong then this should be the other one only if the top is wrong!!

4-n+-10n+6=10-11n

Answer:

a=π-3/5,B =π-2/5

Step-by-step explanation:

product of roots

sum of roots

Given:

A line passes through (1,-2) and is perpendicular to \(-4x+7y=21\).

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

\(-4x+7y=21\)

Slope of this line is

\(m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}\)

\(m_1=-\dfrac{-4}{7}\)

\(m_1=\dfrac{4}{7}\)

Product of slope of two perpendicular lines is -1.

\(m_1\times m_2=-1\)

\(\dfrac{4}{7}\times m_2=-1\)

\(m_2=-\dfrac{7}{4}\)

Now, slope of required line is \(-\dfrac{7}{4}\) and it passes through (1,-2). So, the equation of line is

\(y-y_1=m(x-x_1)\)

where, m is slope.

\(y-(-2)=-\dfrac{7}{4}(x-1)\)

\(4(y+2)=-7(x-1)\)

\(4y+8=-7x+7\)

\(4y+7x=7-8\)

\(7x+4y=-1\)

Therefore, the equation of required line is \(7x+4y=-1\).

The household's papaya consumption demand function is C_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3). The leisure demand function is l_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3), and the labor supply function is N_S(ω, Π, h) = h - l_D(ω, Π, h).

To solve for the household's papaya consumption demand function, we substitute the given utility function U(C, l) = 20C^(2/3) + 4l^(2/3) into the budget constraint c + ωl = Π + ωh.

Using the Lagrange multiplier method, we form the Lagrangian function L = 20C^(2/3) + 4l^(2/3) + α(c + ωl - Π - ωh).

Taking first-order conditions with respect to C and l, we obtain two equations: 20(2/3)C^(-1/3) = α and 4(2/3)l^(-1/3) = αω.

Dividing the two equations, we find C^(1/3)/l^(1/3) = ω^(1/5), which implies C = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3).

Substituting this result into the budget constraint, we solve for l and find l = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3).

Finally, the labor supply function is obtained as N_S = h - l_D.

In summary, the household's papaya consumption demand function is C_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(2/3), the leisure demand function is l_D(ω, Π, h) = 125ω^(3/5)[125ω^(3/5) + Π + ωh]^(1/3), and the labor supply function is N_S(ω, Π, h) = h - l_D(ω, Π, h).

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Answer:

74,779,038,221

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

\(5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6\)

We can eliminate all the zeroes.

\(5^3*7^5+9^8+9^7*5^6\)

Evaluate each term.

Raise 5 to the power of 3.

\(125*7^5+9^8+9^7*5^6\)

Raise 7 to the power of 5.

\(125*16807+9^8+9^7*5^6\)

Raise 9 to the power of 8.

\(125*16807+43046721+9^7*5^6\)

Raise 9 to the power of 7.

\(125*16807+43046721+4782969*5^6\)

Raise 5 to the power of 6.

\(125*16807+43046721+4782969*15625\)

Multiply 125 by 16807.

\(2100875+43046721+4782969*15625\)

Multiply 4782969 by 15625.

\(2100875+43046721+74733890625\)

Add 2100875 and 43046721.

\(45147596+74733890625\)

Add 45147596 and 74733890625.

\(74779038221\)

A calculator would help but here you go.

A circumscribed angle is an angle whose sides are tangent to a circle. In other words, the angle is formed by two intersecting chords of the circle. The vertex of the angle is located outside of the circle, while the two endpoints of the angle lie on the circle.

Circumscribed angles have some important properties in geometry. For example, the measure of a circumscribed angle is half the measure of its intercepted arc (the arc of the circle that lies inside the angle). Additionally, if two angles intercept the same arc of a circle, they are congruent.

Circumscribed angles also appear frequently in trigonometry, where they are used to define the sine, cosine, and tangent functions. The sine of a circumscribed angle is defined as the ratio of the length of the opposite side of the angle to the length of the circle's radius. The cosine of a circumscribed angle is defined as the ratio of the length of the adjacent side of the angle to the length of the radius.

Finally, the tangent of a circumscribed angle is defined as the ratio of the length of the opposite side to the length of the adjacent side.

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Answer:

rate of change

Step-by-step explanation:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

Answer:g(x)=-x/2-6

Step-by-step explanation:plug it in

Hence, the volume of solid is found to be 32 cubic units.

To find the volume of the solid that is between (beneath) the plane z=24−3x−4y and above the region R:

0≤x≤2,0≤y≤2,

we have to evaluate the integral of the expression (24−3x−4y) over the region R:

0≤x≤2,0≤y≤2.

Using the iterated integral, we have:

∬R (24−3x−4y) dA

= ∫02 ∫02 (24−3x−4y) dydx

∴ ∫02 (24−3x−4y) dydx 

= ∫02 [24y - 4y^2 - 3xy]dy

 = [12y^2 - (4/3)y^3 - (3/2)xy^2]2/0 

= [48 - (32/3) - 12x] 

= 48 - (32/3) - 24x

Here,

z=24−3x−4y 

⇒ z=24 - 3x - 4y

 = 0

⇒ 24 - 3x - 4y = 0

⇒ z = 0

Hence, the required volume is

∬R (24−3x−4y) dA = ∫02 ∫02 (24−3x−4y) dydx

= ∫02 (48 - (32/3) - 24x) dx

= [48x - (16/3)x^2 - 12x^2]2/0

= [96 - (16/3) - 48]

= 32 cubic units. 

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