To operate a MeDonalds Franchise the investor mast pay a $45,000 franchise fee. In addition, there an ongoing monthly service fee equal to 4% of gross sales. If the total franchise expenses for the year was $169,000, what was MeDonalds income for the year?

Answer: (k+1)(k+7)

Step-by-step explanation:

Explanation is attached below

Answer:

D)

A=23.5 in^2

Step-by-step explanation:

d*\(\pi\)*m*/360

A=16*\(\pi\)*168/360

A=23.5 in^2

Answer:

y=22-1

Step-by-step explanation:

ewaan di ako sure

Answer:

4 = 68

5 = 112

7 = 112

Step-by-step explanation:

Hope it helps

I hope it's helpful .....

Answer:

$4,255.557336768

Step-by-step explanation:

I think.

Congruence is a property between two or more shapes that proves that they are equal in all respect. The required proof in the given question is shown below:

Two or more figures are said to be congruent if and only if they have equal length of sides, or measure of interior angles.

A triangle is a plane shape bounded by three straight sides, with three interior angles. The series properties can be used to classify the types of triangles with respect to their sides and angles. Some types of triangles are; equilateral, isosceles, right angled, acute angles scalene etc.

Thus to prove that: ΔADE ≅ Δ CDF

                               ΔBDE ≅ ΔBDF

AD ≅ DC (congruent property of similar figures)

AE ≅ CF (similarity property)

DE ≅ DF (congruent property of similar figures)

Thus,

ΔADE ≅ ΔCDF (SSS congruent property)

Also,

EB ≅ FB (congruent property of similar figures)

BD (common side of congruent figures)

DE ≅ DF (congruent property of similar figures)

So that,

ΔBDE ≅ ΔBDF (SSS congruent property)

This implies that,

i ΔADE + ΔBDE = ΔABD

ii. ΔCDF + ΔBDF = CBD

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The correct option for the graph shown are-

The question's line traverses the origin and (4,-12).

The line's rate of change is;

m = -12 - 0 / 4 - 0

m = -3

The slope of the line or its rate of change is -3.

The line's equation is provided by;

y - 0 = -3(x - 0)

y = -3x

This relationship is linear as a result.

The relationship is proportionate if we take any value of x because there will only ever be one value of y.

Therefore, the following claims are accurate:

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To prove that X(=0), we need to show that when X is a scalar function, its derivative with respect to time is zero.

Let's consider a scalar function X(t). The derivative of X(t) with respect to time is denoted as dX/dt. To prove that X(=0), we need to show that dX/dt = 0.

The derivative of a scalar function X(t) is computed as dX/dt = AX(t), where A is a constant matrix and X(t) is a vector function.

Since X(=0), the derivative becomes dX/dt = A(0) = 0. Thus, the derivative of X(t) is zero, which proves that X(=0).

Now, let's consider the second part of the question. We are given that X1, X2, and X3 are linearly independent solutions of the differential equation X'=AX. We need to prove that 2X1-X2+3X3 is also a solution of the same differential equation.

We can verify this by substituting 2X1-X2+3X3 into the differential equation and checking if it satisfies the equation.

Taking the derivative of 2X1-X2+3X3 with respect to time, we get:

d/dt (2X1-X2+3X3) = 2(dX1/dt) - (dX2/dt) + 3(dX3/dt)

Since X1, X2, and X3 are linearly independent solutions, we know that dX1/dt = AX1, dX2/dt = AX2, and dX3/dt = AX3.

Substituting these expressions, we get:

2(dX1/dt) - (dX2/dt) + 3(dX3/dt) = 2(AX1) - (AX2) + 3(AX3)

Using the properties of matrix multiplication, this simplifies to:

A(2X1-X2+3X3)

Thus, we can conclude that 2X1-X2+3X3 is also a solution of the differential equation X'=AX.

The proof shows that for a scalar function X(=0), the derivative is zero. Additionally, for the given linearly independent solutions X1, X2, and X3, the expression 2X1-X2+3X3 is also a solution of the differential equation X'=AX.

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Step-by-step explanation:

Answer

(z+15)

Use the quadratic formula to get the answer you seek.

You should arrive at

(z-6)(z+15)

Answer: 6

Step-by-step explanation:

6.56 × 1.2= 7.872 = 7.9 [ to 2 significant figures]

Significant figure

Significant figures are the number of digits in value, often measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

fewest; the same significant figures with; measured numbers

Without mincing words let us dive straight into the solution to the above question. In order to be able to use the significant figures properly one must know the rules attached to it uses. This is so, because they contributes to the precision of measurements.

When performing multiplication or division calculation, the number of significant figures in the answer[result] will be determined by the one with the smallest number of significant figure in the problem.

Therefore, if we have 6.56 which is three[3] significant figures and 1.2 which is two[2] significant figures, then the number of significant figures will be two[2].

6.56 × 1.2= 7.872 = 7.9[ to 2 significant figures].

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The probability of the events are

Event 1 : 1/2

Event 2 : 3/5

Event 3 : 1

Event 4 : 2/5

To determine the order of the events from least likely to most likely, we can use the probabilities of each event.

Event 1: Choosing a blue marble from Bag A.

The probability of choosing a blue marble from Bag A is 5/10 or 1/2.

Event 2: Choosing a blue marble from Bag B.

The probability of choosing a blue marble from Bag B is 9/15 or 3/5.

Event 3: Choosing a blue or black marble from Bag A.

The probability of choosing a blue or black marble from Bag A is 1, as there are no other colors in the bag.

Event 4: Choosing a black marble from Bag B.

The probability of choosing a black marble from Bag B is 6/15 or 2/5.

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We have a rectangle where the lengths are 16 cm and 9 cm. Using the Pythagorean theorem, we can find the length of this rectangle. The Pythagorean theorem states that the square of the hypotenuse  

Therefore, if we consider the rectangle as a right-angled triangle with one side as its length, the other side as its breadth, and the hypotenuse as its diagonal, we can find the length of the rectangle using the theorem. Using Pythagoras theorem, we have:

$a^2+b^2

=c^2$ Where:

a = 9 cm,

b = 16 cm, and

c = the diagonal or length of the rectangle.

So, substituting these values, we get:$$\begin{aligned}

9^2 + 16^2 &= c^2 \\ 81 + 256 &

= c^2 \\ 337 &

= c^2 \end{aligned} $$Taking the square root on both sides, we get:$$\begin{aligned}

c &= \sqrt{337} \\ &

= 18.3576... \end{aligned} $$Rounding off the result to 1 decimal place, we get the length of the rectangle to be 18.4 cm. Therefore, the length of this rectangle using Pythagoras Theorem is 18.4 cm (rounded off to 1 decimal place).

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The slope of the tangent line to the curve C at t = 1 is π.

To find the slope of the tangent line, we need to differentiate the parametric equations x = 1/t and y = t - sin(πt) with respect to t and evaluate it at t = 1.

Differentiating x = 1/t with respect to t, we get:

dx/dt = -1/t^2

Differentiating y = t - sin(πt) with respect to t, we get:

dy/dt = 1 - πcos(πt)

Now, we can evaluate the derivatives at t = 1:

dx/dt = -1/(1^2) = -1

dy/dt = 1 - πcos(π(1)) = 1 - πcos(π) = 1 - π(-1) = 1 + π

The slope of the tangent line is given by dy/dx, so we divide dy/dt by dx/dt:

dy/dx = (1 + π) / (-1) = -1 - π

Therefore, the correct answer is (a) -1 - π.

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Answer:

just don't answer that

Step-by-step explanation:

cause I don't know what is the answer

Answer:

Fantasia's family's car is more fuel-efficient.

Step-by-step explanation:

Given that, Tiyleah's family's car is getting 40 miles per gallon, and Fantasia's family's car uses 7 liters per 150 km.

The comparison can be done by observing the distance traveled by the cars in an equal amount of fuel. The car which covers more distance in an equal amount of fuel is more fuel-efficient.

First, convert the given units to have the same unit of measurement,

As 1 gallon =3.7854 liters and 1 mile = 1.609344 km

So, 40 miles =40 x 1.61=64.40 km

Now, The distance covered by Tiyleah's family's car is 64.40 km in 3.7854 liters.

So, the distance covered by Tiyleah's family's car in 1 liter of fuel is \(\frac{64.40}{3.7854}=17.01\) km

In a similar way,

As Fantasia's family's car uses 7 liters per 150 km.

So, the distance traveled by Fantasia's family's car in 1 liter of fuel =150/7=21.43 km

Observe that, in 1 liter of fuel, Tyleah's family's car covered 17.01 km while Fantasia's family's car covered 21.43 km which is more.

Hence, Fantasia's family's car is more fuel-efficient.

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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the linear approximation L(x) of the function f(x) = 3x³ - 4x² + 2x - 2 at a = -2 is L(x) = 46x + 82.

To find the linear approximation L(x) of the function f(x) = 3x³ - 4x² + 2x - 2 at a = -2, we can use the formula:

L(x) = f(a) + f'(a)(x - a), Where f(a) is the value of the function at a, f'(a) is the value of the derivative at a, and x is the input value for which we want to find the approximation.

In this case, a = -2, so we need to find f(-2) and f'(-2) . f(-2) = 3(-2)³ - 4(-2)² + 2(-2) - 2

= -32f'(x) = 9x² - 8x + 2f'(-2)

= 9(-2)² - 8(-2) + 2

= 46

Now we can plug in these values into the formula to get:

L(x) = -32 + 46(x + 2)

Simplifying this expression, we get:

L(x) = 46x + 82

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Answer:

D.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using the Pythagorean theorem, the length of the third side is \(\sqrt{(\sqrt{5})^2-2^2}=1\).

The value of the constant k in the equation m(t) = m(0) * 10^(-kt) can be determined by using the given information that 400 grams of the material decays to 40 grams in 10 years.

We are given the equation m(t) = m(0) * 10^(-kt) to describe the decay of the radioactive sample, where m(t) is the mass at time t, m(0) is the initial mass, and k is the constant we need to find.

Using the given information, we can substitute the values into the equation:

m(t) = 400 grams

m(0) = initial mass (unknown)

t = 10 years

m(t) = m(0) * 10^(-kt)

Substituting the values, we have:

400 = m(0) * 10^(-k * 10)

To find the value of k, we can rearrange the equation and solve for k:

10^(-k * 10) = 400 / m(0)

Taking the logarithm of both sides, we have:

-10k = log(400 / m(0))

Simplifying further:

k = -log(400 / m(0)) / 10

Now we can use the fact that the material decays to 40 grams in 10 years:

40 = m(0) * 10^(-k * 10)

Substituting the value of k we found, we have:

40 = m(0) * 10^(log(400 / m(0)) / 10 * 10)

Simplifying further:

40 = m(0) * 10^(log(400 / m(0)))

Now we need to solve this equation to find the value of m(0). We can use trial and error or numerical methods to find the value that satisfies the equation.

Once we find the value of m(0), we can substitute it back into the equation for k:

k = -log(400 / m(0)) / 10

Therefore, the value of k can be determined by solving the equation using the given information.

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Answer: -6/7

Step-by-step explanation: combine like terms.

Same signs; add, different signs; subtract.

Answer:

2

Step-by-step explanation:

To evaluate f(x) when x = - 4, substitute x = - 4 into f(x), that is

f(- 4) = 3(- 4) + 14 = - 12 + 14 = 2

Answer:

Step-by-step explanation:

(a) Direct Form II Representation:

The Direct Form II representation of the given LTI system can be drawn as follows:

     x[n] ----->(+)---->(+)---->(+)---->(+)----> y[n]

              |      |      |      |

              v1     v2     v3     v4

              |      |      |      |

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

               b0     b1     b2

Here, x[n] represents the input signal, and y[n] represents the output signal. The circles represent addition operations, and the boxes with coefficients b0, b1, and b2 represent delays.

The arrows indicate the flow of signals. v1, v2, v3, and v4 represent intermediate values calculated at each stage. The output y[n] is obtained by summing the products of the intermediate values and the corresponding coefficients.

(b) Calculation of h[n]:

To find h[n], we need to determine the impulse response of the system. The impulse response represents the output of the system when an impulse signal is applied as the input.

Considering an impulse input x[n] = δ[n], where δ[n] is the Kronecker delta function:

x[n] = δ[n] = [1, 0, 0, 0, ...]

Based on the Direct Form II representation, we can observe that v1 = b0 * x[n] = b0 * δ[n] = b0.

Therefore, the impulse response h[n] is given by the values of v1 at each stage:

h[n] = [b0, b0, b0, b0, ...]

From the given transfer function, H(2) = 2 – 5(\(2^{-1}\)) + 2(\(2^{-2}\)), we can identify that b0 = 2, b1 = -5(\(2^{-1}\))  = -2.5, and b2 = 2(\(2^{-2}\)) = 0.5.

Thus, the impulse response h[n] is:

h[n] = [2, 2, 2, 2, ...]

In summary, the impulse response h[n] of the LTI system is a constant sequence with a value of 2 at each sample.

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Answer:

290 in^2

Step-by-step explanation:

front side x 2 = 176

top + bottom = 48

sides x 2 = 66

Sum = 290

Answer:

Total surface area S_tot = 290 in²  thus c. is your answer

Step-by-step explanation:

length l = 8 in

width w = 3 in

height h = 11 in

diagonal d = 13.9283883 in

total surface area S_tot = 290 in²

lateral surface area S_lat = 242 in²

top surface area S_top = 24 in²

bottom surface area S_bot = 24 in²

volume V = 264 in³

Formula and Agenda:

Formulas for a rectangular prism:

Volume of Rectangular Prism:

V = lwh

Surface Area of Rectangular Prism:

S = 2(lw + lh + wh)

l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Answer:95

Step-by-step explanation:

There's no point of intersection between the line connecting (2,3,6) to (2,2,3) and the line connecting (1,2,1) to (3,0,-1)

To find the point of intersection between two lines in three-dimensional space, we need to solve a system of equations. We can set up the equations of the two lines using the parametric form:

Line 1:

x = 2 + t(0)

y = 3 + t(-1)

z = 6 + t(-3)

Line 2:

x = 1 + s(2)

y = 2 - s(2)

z = 1 - s(2)

We can set the x, y, and z values equal to each other for the point of intersection, and solve for t and s:

2 + t(0) = 1 + s(2)

3 + t(-1) = 2 - s(2)

6 + t(-3) = 1 - s(2)

Simplifying the second equation, we get:

t + s = 1

Multiplying the first equation by 2, we get:

4 = 2 + 2t + 2s

Substituting t + s = 1, we get:

4 = 2 + 2(t + s)

4 = 2 + 2(1)

4 = 4

This means that our system of equations has no unique solution, and the two lines do not intersect at a single point. Therefore, there is no point of intersection between the two lines.

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Answer:

69

Step-by-step explanation:

that is what it is

Answer:

The answer should be 984

Step-by-step explanation:

Answer:

67/4 = 16 3/4

Step-by-step explanation:

(16 times 4 plus 3)/4

67/4 =16 3/4

The equation is b1 = 2Ah - b2

Note that the subject of formula is described as the variable that is made to stand alone on one of the equality sign.

From the information given, we have the equation as;

A = 1/2h(b1+ b2)

Such that the parameters are;

Now, make B1, the subject of formula;

cross multiply the values

2Ah = (b1+ b2)

collect the like terms

b1 = 2Ah - b2

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