matt is playing a game. he gains 7 points, loses 10 points, gains 2 points, and then loses 8 points. what is the final score?

Answer :

y = \(\frac{2}{5} ( x - 3)\)

Step-by-step explanation:

6 + 5y = 2x

or, 5y + 6 - 6 = 2x - 6

or, 5y = 2x - 6

or, 5/5 y = 2 ( x - 3) / 5

or, y = 2/5 ( x - 3)

therefore, y = \(\frac{2}{5} ( x - 3 )\)

The parent function is f(x) = 7x + 5.

So let's find the equation for each transformation:

a) The function f reflected about the y-axis and translated 3 units left.

A reflection about the y-axis can be calculated just changing the sign of the variable x:

Now, in order to translate 3 units left, we just need to add 3 units to the x-value:

b) The function f stretched vertically by a factor of 3 and translated up by 2 units.

In order to stretch up the function, we multiply the whole function by the factor:

Then, to translated 2 units up, we add 2 units of the function:

c) The function f translated 2 units down and 3 units right.

To do a translation of 2 units down, we subtract 2 units of the function, and to translate 3 units right, we subtract 3 units from the value of x:

d) The function f stretched vertically by a factor of 2 and translated down by 3 units.

In order to stretch up the function, we multiply the whole function by the factor:

Then, to translated 3 units down, we subtract 3 units of the function:

The equation of the line tangent to the curve y = 2x² - 4x + 2 at the point (3, 8). y=8x−16.

To find the equation of the line tangent to the curve

−4x+2 at the point (3, 8), we need to determine the slope of the tangent line at that point and then use the point-slope form of a linear equation.

Find the derivative of the given function

Taking the derivative, we have:

Substitute the x-coordinate of the given point (3, 8) into the derivative to find the slope of the tangent line.

Evaluating the derivative at

x=3, we get:

(3)=4(3)−4=8

Use the point-slope form of a linear equation with the given point (3, 8) and slope

m=8 to write the equation of the tangent line.

The point-slope form is given by:

m=8, we have:

y−8=8(x−3)

Simplify the equation to obtain the final equation of the tangent line.

Expanding and rearranging the equation, we get:

y−8=8x−24

y=8x−16

Therefore, the equation of the line tangent to the curve

2

−4x+2 at the point (3, 8) is

y=8x−16.

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The probability of both the socks and the t-shirt being white is 21/44.

The probability of selecting a white pair of socks from the drawer is 6/11. The probability of selecting a white t-shirt from the drawer is 7/8. To find the probability of both events occurring together, we multiply the two probabilities:
P(white socks and white t-shirt) = (6/11) * (7/8) = 0.4773
Therefore, the probability of randomly selecting one pair of white socks and one white t-shirt from the drawer is approximately 0.4773 or 47.73%.
Hi there! To find the probability that both the socks and the t-shirt you randomly select are white, you'll need to multiply the individual probabilities for each item being white.
For the socks, there are 6 white pairs out of a total of 11 pairs. So, the probability of selecting a white pair is 6/11.
For the t-shirts, there are 7 white ones out of a total of 8. So, the probability of selecting a white t-shirt is 7/8.
Now, multiply these probabilities together: (6/11) * (7/8) = 42/88. Simplify the fraction to get 21/44.
So, the probability of both the socks and the t-shirt being white is 21/44.

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Answer:

Step-by-step explanation:

35-original drill set price

25% or .25-the additional price

markup in decimal form- 0.25

markup in percent form- 25%

Equation-35 + 25% or 0.25

35 + 25% = 43.75

The zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Also ,  the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

In the given question, we are given the transfer function of the system. The zero input response y(t) can be calculated using the following steps:

Step 1: Find the roots of the denominator of the transfer function. In the denominator, we have:s²+6s+9 = 0Using the quadratic formula, we get: s1 = s2 = -3Therefore, the denominator of the transfer function can be written as:

s²+6s+9 = (s+3)²

Step 2: Find the partial fraction of the transfer function. To find the partial fraction, we need to factorize the numerator of the transfer function.

G(s) = (3s+5):(s+3)²= A:(s+3) + B:(s+3)² + C Where A, B, and C are constants.

Multiplying both sides by (s+3)², we get:3s+5 = A(s+3)(s+3) + B(s+3)² + C On substituting s=-3 in the above equation, we get: C = 5/9On equating the coefficients of the terms with s and the constant term, we get:

A + 2B + 9C = 3A + 3B = 0On substituting C=5/9 in the above equation, we get: A = -2/3 and B = 2/9Therefore, the partial fraction of the transfer function can be written as: G(s) = -2/3:(s+3) + 2/9:(s+3)² + 5/9

Step 3: Find the inverse Laplace transform of the partial fraction of the transfer function. The inverse Laplace transform of the partial fraction of the transfer function can be calculated as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9\)

On substituting y(0) = 3 and y'(0) = −7, we get:3 = -2/3 + 5/9y'(0) = -2 + 10/9 = -8/9

Therefore, the zero input response y(t) can be written as: \(y(t) = -2/3e^{-3t} + 2/9te^{-3t} + 5/9 + 8/9e^{-3t}\)

Therefore, the zero input response y(t) is given as:\(y(t) = (8/9 - 2/3)e^{-3t} + 2/9te^{-3t} + 5/9\)

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The option that is not a factor of capacity planning is the option d

d) Proximity to suppliers

The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.

The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.

Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers

Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.

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The probability that all three of the cards are tens is 0.018.

The probability that the first card drawn is a ten is 4/52 since there are 4 tens in a deck of 52 cards.

The probability that the second card drawn is a ten, given that the first card was a ten and was not put back in the deck, is 3/51 since there are now only 3 tens left in a deck of 51 cards.

The probability that the third card drawn is a ten, given that the first two cards were tens and were not put back in the deck, is 2/50 since there are now only 2 tens left in a deck of 50 cards.

Therefore, the probability that all three cards are tens is:

(4/52) * (3/51) * (2/50) = 1/5525 ≈ 0.00018 or about 0.018%.

So, the probability of drawing three tens in a row without replacement is very low.

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The equation that represent the line passes through point  (3,-4) and (6, -6) is  2x + 3y = −6.

The line's slope and a point on the line can be used to create an equation for the line. To better comprehend how an equation for a line is created, let us learn more about the line's slope and the necessary point on the line. The inclination of the line toward the positive x-axis is known as the slope, and it can be expressed as a number, a fraction, or the tangent of the angle it forms with the positive x-axis.

Given equations

2x + 3y = −6 .......(1)

y = -x-2

x + y = -2 .........(2)

and points (3,-4) and (6, -6)

substitute values in in eq. 1

x = 3 and y = -4

2x + 3y = −6

2(3) + 3(-4)

6 - 12 = -6

LHS = RHS

and x = 6 and y = -6

2(6) + 3(-6)

12 - 18 = -6

LHS = RHS

equation 1 passes through points (3,-4) and (6, -6)

check for eq. 2

x = 3 and y = -4

x + y = -2

3 - 4 ≠ -2

and x = 6 and y = -6

6 - 6 ≠ -2

equation 2 not passes through points (3,-4) and (6, -6)

Hence,  2x + 3y = −6  passes through points (3,-4) and (6, -6).

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Answer:

5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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Answer:

91 degrees

Step-by-step explanation:

Angle RT = 46 degrees

Angle RU = 180 degrees

Angle RS = 89 degrees

So 46 + 89 = 135

180 - 135 = 45

So Angle UT = 45 degrees

Which means that Angle QR = 45 degrees also because they are vertical from each other

So you add 45 + 46 = 91

Angle TQS = 91 degrees

Answer:

All options

Step-by-step explanation:

To open a bank account you first need to know which type of account you will open, for example, correct account or savings account. The Social Security card is also required so that the bank has access to your financial history for analysis. Moreover, it is important to compare the different services offered by banks to reduce costs and open the account in the one that suits you best.

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Step-by-step explanation:

:)

Answer:

A theorem is a statement that can be demonstrated to be true by accepted mathematical operations and arguments. In general, a theorem is an embodiment of some general principle that makes it part of a larger theory. The process of showing a theorem to be correct is called a proof.

Answer:

the first one because Albert sat on apple tree and discovered u don't have a father

Answer: A

Step-by-step explanation:

Answer:

m = 180

Step-by-step explanation:

Solve using system of equations:

x = larger tank

m = smaller tank

x = m+300

m = 3/8x

Answer:

∠A = 48°

Step-by-step explanation:

All angles in a triangle add up to 180°

Answer: For first blank: GNS

P = N G = P S = R

Mr. Jericho needs to teach his students how to make change. Vygotsky would recommend that he set up a pretend shop and have all of the students act as cashiers in it.

One of the four methods of teaching is the interactive or participative method of teaching. In this method, students are taught certain stuff with the use of hands-on techniques. These include acting out whatever is being taught so that students have a better view of whatever is happening around them.

This method is quite useful and this is exactly what Vygotsky suggested for the students in the class in the very first place.

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Bill faces the standard linear budget constraint and has a utility function for X and Y of: U (X, Y)= 4 In X+4 InY.

The formula for calculating the slope of the income consumption curve is as follows:Slope of the Income Consumption Curve = -ΔY/ΔX  where ΔX is the change in the quantity of X, and ΔY is the change in the quantity of Y.

Since Bill faces the standard linear budget constraint, his budget equation is PxX + PyY = I, where Px is the price of X, Py is the price of Y, and I is his income.His utility function can be written as U(X, Y) = 4ln(X) + 4ln(Y).

Now let us maximize his utility function subject to his budget constraint:L = 4ln(X) + 4ln(Y) - λ(PxX + PyY - I)

Taking the partial derivative of L with respect to X and Y and equating them to zero:∂L/∂X = 4/X - λPx = 0∂L/∂Y = 4/Y - λPy = 0

Solving for λ in terms of X and Y, we get:λ = 4/XPx = λY/Py

Now substituting this value of λ in the budget equation:PxX + PyY = I becomes λYX + PyY = IY/X = I

Slope of the Income Consumption Curve = -ΔY/ΔX = -Y2/Y1 / X2/X1 = (-I/Y2Px)/(I/X1Py) = -1/Y1(Py/Px) = -1/4(Py/Px).

The correct option is OPx/Py.

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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To calculate the minimum angle of elevation required for the ball to just cross over the center of the crossbar, we can use the principles of projectile motion.

Let's assume that the ground is horizontal, and the initial velocity of the ball is 26 meters per second. The crossbar is 3 meters from the ground, and the goal kicker is 27 meters perpendicular from the crossbar.

The horizontal distance between the goal kicker and the crossbar forms the base of a right triangle, and the vertical distance from the ground to the crossbar is the height of the triangle. Therefore, we have a right triangle with a base of 27 meters and a height of 3 meters.

The angle of elevation can be calculated using the tangent function:

tan(angle) = opposite/adjacent = 3/27.

Simplifying, we get:

tan(angle) = 1/9.

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(1/9).

Using a calculator, we can evaluate this angle, which is approximately 6.34 degrees.

Therefore, the minimum angle of elevation required for the ball to just cross over the center of the crossbar is approximately 6.34 degrees.

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Answer: 62

Tan-1 (43/23) = 61.85

X = 62

Answer:62

Step-by-step explanation:

:)

Running a 60-watt LED light bulb for 24 hours would consume 1.44 kilowatt-hours (kWh) of electricity, which, depending on the cost of electricity in your area, could range from around $0.10 to $0.30.

To calculate the cost of running a 60-watt LED light bulb for 24 hours, we need to determine the energy consumption in kilowatt-hours (kWh) and multiply it by the cost per kWh in your area.

First, convert the wattage to kilowatts by dividing it by 1000: 60 watts ÷ 1000 = 0.06 kilowatts.

Next, calculate the energy consumption by multiplying the power (0.06 kW) by the time (24 hours): 0.06 kW × 24 hours = 1.44 kWh.

The cost will vary depending on your location and the price of electricity. In the United States, the average residential electricity rate is around $0.13 per kWh. Multiplying the energy consumption (1.44 kWh) by the electricity rate ($0.13) gives us the cost: 1.44 kWh × $0.13/kWh = $0.1872.

Therefore, the cost to run a 60-watt LED light bulb for 24 hours would be around $0.10 to $0.30, depending on the specific electricity rates in your area.

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Answer: 300 sq. ft

Step-by-step explanation:

1/5x - 25 = 35

1/5 x = 35+25

x = 60 * 5 = 300 sq. ft.

Answer:

300

Step-by-step explanation:

I did it on edge

Answer:

\(27.13^o\)

Step-by-step explanation:

\(\mathrm{Here,}\\a=28\mathrm{yd}\\c=23\mathrm{yd}\\\\\mathrm{Using\ the\ sine\ law,}\\\mathrm{\frac{a}{sinA}=\frac{c}{sinC}}\\\\\mathrm{or, }\ \frac{28}{\mathrm{sin22^o}}=\frac{23}{\mathrm{sin}C}\\\\\mathrm{or,sinC}=\frac{23}{28}\mathrm{sin22^o}=0.307\\\\\mathrm{or,\ C=sin^{-1}0.307=17.92^o}\)

The constant of proportionality (k) for the data points on this graph is 7.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points on this graph as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 7/1 = 14/2 = 21/3 = 28/4 = 35/5

Constant of proportionality, k = 7.

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To infer the query U from the given KB using the Resolution Algorithm, we need to first convert the KB into Conjunctive Normal Form (CNF) and then apply the resolution inference rule.

1. Convert the KB to CNF form:
- (Y ∨ S) ≡ U
- (C ∨ V) ≡ S
- ¬C ∨ X
- V ∨ X
- Y

Converting to CNF form:
- (Y^S) = U can be written as (¬Y ∨ ¬S ∨ U)
- (C^V) =S can be written as (¬C ∨ ¬V ∨ S)
- С^-Х can be written as (¬C ∨ X)
- V^X can be written as (¬V ∨ X)
- Y can be written as (¬Y ∨ Y)
So, the CNF form of KB is (¬Y ∨ ¬S ∨ U) ∧ (¬C ∨ ¬V ∨ S) ∧ (¬C ∨ X) ∧ (¬V ∨ X) ∧ (¬Y ∨ Y).

2. Apply the resolution inference rule to derive the query U:
From the clauses (Y ∨ S) ≡ U and (C ∨ V) ≡ S, use resolution to derive the clause (Y ∨ C) ≡ U. Then, from the clauses (Y ∨ C) ≡ U and Y, use resolution to derive the clause C ≡ U. Lastly, from the clauses (C ∨ V) ≡ S and C ≡ U, use resolution to derive the query U.

The Resolution Algorithm is a method used to infer queries from a knowledge base (KB). To use this algorithm, we must first convert the KB to conjunctive normal form (CNF form) and then apply the resolution inference rule.


(¬Y ∨ ¬S ∨ U) ∧ (¬C ∨ ¬V ∨ S) ∧ (¬C ∨ X) ∧ (¬V ∨ X) ∧ (¬Y ∨ Y)
= (¬S ∨ U ∨ ¬C ∨ ¬V ∨ S) ∧ (¬C ∨ X) ∧ (¬V ∨ X) ∧ (¬Y ∨ Y) (resolving ¬Y)
= (¬S ∨ U ∨ ¬C ∨ ¬V ∨ X) ∧ (¬V ∨ X) ∧ (¬Y ∨ Y) (resolving S)
= (¬S ∨ U ∨ ¬V ∨ X) ∧ (¬Y ∨ Y) (resolving ¬C)
= (¬S ∨ U ∨ X) ∧ (¬Y ∨ Y) (resolving ¬V)
= (U ∨ X) ∧ (¬Y ∨ Y) (resolving ¬S)
= U ∧ (¬Y ∨ Y) (resolving X)
= U (resolving ¬Y ∨ Y)

Therefore, we can infer the query U from KB using the Resolution Algorithm.

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Observe the diagram below with indexes on the shapes.

The transformations are: