The art club in Northwestern middle school is selling candy bars as a fundraiser. each art club member....

x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

45

Step-by-step explanation:

rate : 9 minutes per mile

5 x 9 = 45

Answer:

45 minutes

Step-by-step explanation:

18= 2miles

18/2= 9 minutes  (1 mile)

18+18+9= 45

Jean would need to pay $10088.55 as property tax on her new home which cost $238500

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the value of Jeans property tax.

Jean's new home are 4. 23% of the value of the home. For a home of $238500:

x = 4.23% of $238500 = 0.0423 * $238500 = $10088.55

Jean would need to pay $10088.55 as property tax on her new home which cost $238500

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Answer:

s = 150f

Step-by-step explanation:

A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages. Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe.

The amount of sugar in milliliters = s

The amount of flavor packages for these recipe = f

The relationship between 2 variables

= y ∝ x

y = kx

k = constant of proportionality

Hence:

s ∝ f

s = kf

Note ,

s = 300

f = 2

300 = 2k

k = 300/2

k = 150

Therefore, the equation that shows the relationship between s, the amount of sugar in milliliters, and f, the number of flavor packages for this recipe is:

s = kf

s = 150f

Answer:

2=150f

Step-by-step explanation:

khan said so

Answer: It is 6x+12

Step-by-step explanation: Distribute 2 to the parenthesis, then do the same at the second parenthesis, 10x+6-4x+6, combine like terms, 10x-4x and +6+6, so 6x+12 is the final result.

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.

Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:

x + kx + lx = 2r

Simplifying this equation, we get:

x(1 + k + l) = 2r

So, we have:

x = (2r)/(1 + k + l)

y = kx = k(2r)/(1 + k + l)

z = lx = l(2r)/(1 + k + l)

The circumference of the triangle is the sum of its three sides:

C = x + y + z

Substituting the expressions for x, y, and z, we get:

C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)

Simplifying this expression, we get:

C = (2r(1 + k + l))/(1 + k + l)

C = 2r

Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.

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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.

Let the lengths of the triangle be, 3x,4x,5x

Square of largest side = \(25x^{2}\)

Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)

It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.

The circumference of a right-angled triangle has a diameter equal to its hypotenuse.

hence, 5x=6 or x= \(\frac{6}{5}\)

Now, two perpendicular sides are then,  \(\frac{18 }{5} , \frac{24}{5}\)

\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)

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Question

A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to

A. 8.64

B. 12

C. 6

D. 10.5

The value of x that satisfies the equation is x = 15/8, which is equivalent to 1.875.

To solve the equation (2/3)x - (1/5)x = x - 1 and find the value of x, we can follow these steps:

Combine like terms on the left side of the equation:

(2/3 - 1/5)x = x - 1

Find a common denominator for the fractions on the left side. The common denominator for 3 and 5 is 15, so we rewrite the equation as:

(10/15 - 3/15)x = x - 1

Simplify the left side of the equation:

(7/15)x = x - 1

To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction, which is 15:

15 * (7/15)x = 15 * (x - 1)

This simplifies to:

7x = 15x - 15

Subtract 15x from both sides of the equation to isolate the x term:

7x - 15x = -15

Simplifying further:

-8x = -15

Divide both sides of the equation by -8 to solve for x:

x = (-15) / (-8)

Simplifying the division:

x = 15/8

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The scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

An exponential function is a mathematical function in which the independent variable is an exponent. It is characterized by a constant ratio between successive values.

In the given scenarios, the first two options involve a fixed amount or average (monthly rent payments or number of patrons per hour) and do not demonstrate exponential growth or decay. These scenarios can be represented by linear functions.

The third option, where an athlete cuts the time it takes to complete a 10K race by 5% each week, represents exponential decay. The time reduction each week can be expressed as a percentage of the previous week's time, resulting in a constant ratio between successive time values. This is a characteristic of exponential functions.

The fourth option describes the volume of a cube, which is calculated by raising the length of the side to the third power. This is an example of a polynomial function, specifically a cubic function, rather than an exponential function.

Therefore, the scenario in which an athlete cuts the time it takes to complete a 10K race by 5% each week represents an exponential function.

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The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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Answer:

9

Step-by-step explanation:

9 (t3+0.5)

his running time is 9

Answer:

1.5 Hrs

Step-by-step explanation:

SWIM:  Time: T    Rate: 2.5mph   Distance: 2.5T

RUN:    Time: T+0.5  Rate: 9mph   Distance: 9T+4.5

BIKE:    Time: 2T+1  Rate: 16mph   Distance: 32T+16

2.5T+9T+4.5+32T+16 =  64

43.5T+20.5=64

43.5T=43.5

T=1

RUN: T+0.5= 1+0.5=1.5      

Answer:

Rational

Step-by-step explanation:

See pic below ↓

Answer:

  (a)  $810.45

Step-by-step explanation:

You want the value of an investment of $300 earning 5% interest compounded quarterly for 20 years.

The compound interest formula tells you the value is ...

  A = P(1 +r/n)^(nt)

where P = 300, r = 0.05, n = 4, t = 20.

Using the given parameters in the given equation, you find the account value to be ...

  A = $300(1 +0.05/4)^(4·20) ≈ $810.45

__

Additional comment

The "rule of 72" tells you the account value will approximately double in a number of years equal to 72 divided by the interest rate percentage: 72/5 = 14.4 years. After 20 years, it will be worth more than that doubled amount, $600. This only leaves one reasonable answer choice.

<95141404393>

Answer: The absolute value of the difference

Step-by-step explanation:

Hope this helps

The area of the figure is 528units²

The space enclosed by the boundary of a plane figure is called its area. The area is measured in square units.

The figure contains several rectangles by dividing it into different shapes.

The first part is a rectangle;

area = l×w

= 16×8 = 128 units²

for the second part ;

area = l× w

= 8× 24

= 192 units²

for the third part

The area of the whole rectangle

= l×w

= 8× 24

= 192 units²

area of the cut out section

= 12 × 4 = 48 units²

Therefore area of the figure = 128+192+192-48

= 528 units²

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Answer:

x = 55

Step-by-step explanation:

20+20=40

(vertically opposite angles are equal)

360-40=320

320÷2=160

(3x - 5) = 160

(solve)

(3x -5) = 160

+5

3x = 165

÷3

x=55

sorry if this is not correct.

The value of the equation 5- c  for c = 3 will be  2.

Since the solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.

We need to find the solutions does the equation 5 - c for c = 3;

Now solving for c;

5-c

for c = 3

5 - 3 = 2

Therefore, the value is 2.

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Answer:

P=−0.001x+3−1800/x

Step-by-step explanation:

Write the problem as a mathematical expression.

P(x)=−0.001x²+3x−1800/x

Divide each term in Px=−0.001x²+3x−1800 by x.

Px/x=−0.001x²/x + 3x/x + −1800/x

Cancel the common factor of x.

P=−0.001x²/x+3x/x + −1800/x

Simplify each term.

P=−0.001x+3−1800/x

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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The shape and scale parameters have values of 4 and 2, respectively.

For Gamma distribution denoted by Gamma(k,θ) here k is the shape parameter and θ is the scale parameter.

What is shape parameter ?

A shape parameter affects the general shape of a distribution, as the name implies; they are a family of distributions with various shapes. The parameters are frequently calculated from recent data or occasionally extrapolated from historical statistical data.

What is scale parameter ?

Graphs have meaning thanks to scale settings. The scale in a typical normal model is equal to the standard deviation,. Even though the area under the graph is 1, you can't take any information from it without a scale. A standard normal distribution without any scaling parameters is shown in the top graph. 

The mean is given by the formula

Mean = kθ

And the variance is,

Variance = kθ^2

So now according to the given information we have,

θ=8

kθ^2=16

So dividing the two equations,

θ = 16/8=2

Using this in first equation,

kθ = 8

2k=8

k=4

So,

k=shape parameter=4

θ=scale parameter=2

Hence, The shape and scale parameters have values of 4 and 2, respectively.

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The total water usage in the water park, in scientific notation is 1.41 × \(10^{6}\) gallons of water.

To express the total gallons of water used in the water park, including the additional water used by the new ride, we can use scientific notation.

The initial water usage in the park is given as 5.9 × \(10^{5}\) gallons of water.

The water usage of the new ride is stated as 820,000 gallons.

To find the total water usage after adding the new ride, we need to add the initial water usage to the water usage of the new ride:

5.9 × \(10^{5}\) + 820,000

To perform this calculation, we need to convert the water usage of the new ride to scientific notation:

820,000 = 8.2 × \(10^{5}\)

Now, we can add the two values:

5.9 × \(10^{5}\) + 8.2 × \(10^{5}\)

When adding values in scientific notation, we need to ensure that the exponents are the same. In this case, both values have an exponent of 5, so we can simply add the coefficients:

5.9 + 8.2 = 14.1

Therefore, the total water usage in the water park, including the new ride, can be expressed in scientific notation as 1.41 × \(10^{6}\) gallons of water.

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a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).

TC = 100Q - Q² + 0.3Q³

Marginal cost (MC) = dTC/dQ

= d/dQ(100Q - Q² + 0.3Q³)

= 100 - 2Q + 0.9Q²

To find the average cost, we need to divide the total cost by the rate of output (Q).

Average cost (AC) = TC/Q

= (100Q - Q² + 0.3Q³)/Q

= 100 - Q + 0.3Q²

b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.

AC = 100 - Q + 0.3Q²

dAC/dQ = -1 + 0.6Q

= 0-1 + 0.6Q

= 00.6Q

= 1Q

= 1/0.6Q

≈ 1.67

Therefore, the rate of output that results in minimum average cost is approximately 1.67.

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IV. For large values of n, θc1 is the better estimator. However, for small values of n, θc2 may have a lower MSE due to its smaller variance, even though it has a larger bias.

In statistics, the mean (also known as the arithmetic mean or average) is a measure of central tendency that represents the sum of a set of numbers divided by the total number of numbers in the set.

(i) The bias of an estimator is defined as the difference between the expected value of the estimator and the true value of the parameter being estimated. For θ = 1/λ, we have E(θc1) = E[(1/n)ΣXi] = (1/n)ΣE(Xi) = (1/n)(1/λ)Σ1 = (1/λ), and E(θc2) = E[(1/(n+1))ΣXi] = (1/(n+1))ΣE(Xi) = (1/(n+1))(1/λ)Σ1 = (n/(n+1))(1/λ).

Therefore, the biases of θc1 and θc2 are:

bias(θc1) = E(θc1) - θ = (1/λ) - (1/λ) = 0

bias(θc2) = E(θc2) - θ = (n/(n+1))(1/λ) - (1/λ) = -1/(n+1)

(ii) The variance of an estimator measures how much the estimator varies across different samples. The variance of θc1 can be calculated as:

Var(θc1) = Var[(1/n)ΣXi] = (1/n²)ΣVar(Xi) = (1/n²)Σ(1/λ²) = (1/n)(1/λ²)

Similarly, the variance of θc2 can be calculated as:

Var(θc2) = Var[(1/(n+1))ΣXi] = (1/(n+1)²)ΣVar(Xi) = (1/(n+1)^2)Σ(1/λ²) = (1/(n+1))(1/λ²)

(iii) The mean squared error (MSE) of an estimator is the sum of its variance and the square of its bias. Thus, the MSE of θc1 is:

MSE(θc1) = Var(θc1) + bias(θc1)² = (1/n)(1/λ²)

The MSE of θc2 is:

MSE(θc2) = Var(θc2) + bias(θc2)^2 = (1/(n+1))(1/λ²) + (-1/(n+1))² = (n/(n+1)²)(1/λ²)

(iv) To compare the two estimators, we can look at their MSEs. Since MSE(θc1) = (1/n)(1/λ²) and MSE(θc2) = (n/(n+1)²)(1/λ²), we can see that as n increases, the MSE of θc1 decreases while the MSE of θc2 increases. Therefore, for large values of n, θc1 is the better estimator. However, for small values of n, θc2 may have a lower MSE due to its smaller variance, even though it has a larger bias.

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Answer:

Percentage: 55%

Decimal: 0.55

Step-by-step explanation:

11÷20=

0.55

\(\frac{11}{20}=\frac{55}{100}\)

or 55%

Answer:

$8.10

Step-by-step explanation:

You can just multiply how many yards she bought by the price per yard.

3×2.7=

$8.10

She spent 8 dollars and 10 cents.

Water main valves should be located at frequent intervals in a grid system.

The flow and temperature in pipes and plumbing fittings are controlled by water valves. The valves regulate steady flow and volume when they are correctly placed and used. Water valves are made of brass, plastic, stainless steel, bronze, cast iron, and galvanised pipe, among other materials.

The master cutoff valve for the house will typically feature a wheel (a gate valve) or a straight handle (ball valve). The wheel on gate valves (seen on the right) is turned clockwise until the water is shut off. To turn off the water, turn the handle of a ball valve a quarter turn in the opposite direction. Every house has two main water shutoff valves: one inside and one near the intersection of your property and the street.

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Answer:

D.

Step-by-step explanation:

184,290 divided by 5 equals 36,858. 184,290 divided by 6 equals 30,715. Both are whole numbers.

Answer:

d

Step-by-step explanation:

Answer:

1) y = -2x - 1

2) y = -3/4 + 3

3) y = 4x + 9

4) y = - 5/3x - 2

Step-by-step explanation:

b = y - m*x

1) (-7,13) and slope: -2

b = 13 - (-2)*(-7)

b = 13 - 14

b = -1

2) (4,6) lope = -3/4

b = 6 - (-3/4)*(-4)

b = 6 - 3

b = 3

y = -3/4x + 3

3) (-5,-11) and (3,-7)

Slope: (1 - - 11)/(-2 - - 5) = 12/3

= 4

b = -11 - (4) (-5) = 9

b = 9

4) slope = (-7 - 8)/(3- - 6)

= -15/9 = - 5/3

b = 8 - (-5/3)*(-6)

b = 8 - 10

b = -2

Step-by-step explanation:

X= {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23}

P= {2,3,5,7,11,13,17,19,23}

Q= {2,4,6,8,10,12,14,16,18,20,22}

a= {2,3,4,5,6,7,8,10,11,12,13,14,16,17,18,19,20,22,23}

b= {2,}

c= we first find p'

p'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

c={4,6,8,10,12,14,16,18,20,22}

d=we do same here but we already have p' so we find for q'

q'={1,4,6,8,9,10,12,14,15,16,18,20,21,22}

d={1,4,6,8,9,10,12,14,15,16,18,20,21,22}