What is y? Helppp thank you !

Answer:

y = -0.5x + 4

Step-by-step explanation:

y = mx + c

m = gradient

= (change in y) ÷ (change in x)

= -1/2

c = y intercept

= 4

Total students: 5 + 6 + 2 = 13

Total students fluent or a beginner: 5 + 2 = 7

Probability of picking 1 fluent or beginner = total of fluent or beginner over total students:

7/13

Step-by-step explanation:

Total students:-

➝5+6+2

➝13

E=Number of fluent or beginner students

➝5+2

➝7

➝|E| / |S|

➝7/13

Answer:

n = 3200

Step-by-step explanation:

200 = 1000 - \(\frac{n}{4}\) ( subtract 1000 from both sides )

- 800 = - \(\frac{n}{4}\) ( multiply both sides by 4 to clear the fraction )

- 3200 = - n ( multiply both sides by - 1 )

n = 3200

The chances of player A winning and player B winning are equal, each with a probability of 5/36.

For player A to win. There are 6 possible outcomes for player A's throw and 6 possible outcomes for player B's throw, resulting in 36 possible combinations of throws. Out of these 36 combinations, there are 5 combinations where player A's throw is greater than player B's throw: (1,1), (2,1), (2,1), (3,1), and (3,2).

For player B to win. There are 5 possible combinations where player B's throw is greater than player A's throw: (1,7), (2,7), (3,7), (4,3), and (4,3).

For a draw, the outcome of the two throws must be equal. There are 2 possible combinations for a draw: (1,1) and (2,2).

The probability of player A winning in any given round is 5/36

The probability of player B winning in any given round is 5/36

The probability of a draw in any given round is 2/36

So, The chances winning of player A and player B are equal.

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The option that would decrease the margin of error is B. increasing the sample size.

The margin of error is a statistic that expresses the amount of random sampling error in survey results. The greater the margin of error, the less confident one should be that a poll result will accurately reflect the results of a population census.

Because the sample size is in the denominator of the margin of error calculation, increasing the sample size reduces the margin of error. Furthermore, by expressing a value in a range, the margin of error assists researchers in determining its accuracy.

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Complete question

An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?

selecting another sample

increasing sample size

decreasing sample size

increasing confidence level

Answer:

= 11/2

Step-by-step explanation:

pls mark brainliest

Answer:

the woodpecker was 7m above the ground

The height where the bird pecked is 7m above the ground.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A woodpecker pecked at a 17 m wooden pole until it cracked and the upper part fell with the top hitting the ground 10 m from the foot of the pole.

Therefore, If the length of the pole that fell down is 10m then the length of the remaining pole is,

= (17 - 10)m.

= 7m.

So, The bird pecked away where the pole had cracked is 7m.

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The common shaded zone, as illustrated in the graph attached, will represent the answer to the set of equations. There isn't a common location where the two equations intersect.

Given that,

The system of inequality

y < x² + 2

y > x² - 6

We have to find the common point of the system of inequality.

We know that,

The graph is shown in the image.

Using the graphing technology,

A will be the first equation's vertex (0,2)

The parabola's outer region will be shaded and its boundary will be a dotted line because y is less than the value required by the quadratic equation.

In a similar way, the second equation's vertex, (0,-6), will be a dotted parabola with shaded inner portions.

The common shaded zone, as illustrated in the graph attached, will represent the answer to the set of equations. There isn't a common location where the two equations intersect.

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Answer:-6x^2-20x

Step-by-step explanation: multiply -2 by all factors

a) The points u(x, y) is an increasing transformation of a perfect substitutes utility function.

b) The utility function u(x, y) represents preferences over perfect substitutes.

(a) Show that u(x,y) is an increasing transformation of a perfect substitutes utility function.

To show that the utility function u(x, y) = ln(x + y) + 7(x²+ 2xy + y²) + 43 represents preferences over perfect substitutes, we have to establish that the utility function is an increasing transformation of a perfect substitutes utility function.

The perfect substitutes utility function is defined as:u = ax + by

where a and b are the respective prices of x and y.

The utility function u(x, y) can be transformed into a perfect substitutes utility function as follows:

u = ln(x + y) + 7(x²+ 2xy + y²) + 43= ln(x + y) + 7(x + y)² - 6xy + 43= 7(x + y)²- 6xy + ln(x + y) + 43= (x + y) (7(x + y) - 6x) + ln(x + y) + 43= (x + y) (7(y + x) - 6y) + ln(x + y) + 43

Let a = 7(y + x) - 6y and b = 7(y + x) - 6x.

Then, the utility function u(x, y) can be written as:u = ax + by

which is a perfect substitutes utility function. Therefore, u(x, y) is an increasing transformation of a perfect substitutes utility function.

(b) Show that the indifference curves are straight lines (i.e. show that the MRS is constant and equal to -1)The marginal rate of substitution (MRS) is given by:

MRS = - ∂u/∂y ÷ ∂u/∂x

The partial derivatives of the utility function u(x, y) with respect to x and y are:

∂u/∂x = 14x + 14y + 1/(x + y)∂u/∂y = 14x + 14y + 1/(x + y)

The MRS can be computed as:MRS = - ∂u/∂y ÷ ∂u/∂x= - (14x + 14y + 1/(x + y)) ÷ (14x + 14y + 1/(x + y))= -1

The MRS is constant and equal to -1. This implies that the indifference curves are straight lines.

Therefore, the utility function u(x, y) represents preferences over perfect substitutes.

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Answer:

142 is the answer of this your homework

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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Sathish will pay $64.8

When Satish is alone, kilometres:

Beginning at 150 kilometres and ending at 150 kilometres will be travelled 300 kilometres in total

When Satish is with friends, the total kilometres travelled is 2100 km:

And when Satish went alone he travelled 300 km

When Satish is with friends, total kilometres travelled: 2100-300 = 1800 km

Gas consumed in litres when Satish is alone: 100 kilometres use 6 litres of gas.

300 kilometres at 6 x 3 equals 18 litres.

So, when Satish is with friends, litres of gas are consumed: 100 kilometres use 6 litres of gas.

So, 6 × 18 for 1800 kilometres is equal to 108 litres.

Gas prices when Satish is on his own:

$1.2 per litre

18 x $1.2 = $21.6

Gas prices when Satish is travelling with friends

$1.2 per litre

108 x 1.2 = $129.6

Cost for each friend = $129.6/3 = $43.2

Satish will pay: Cost when travelling with friends + Cost when travelling alone

=$43.2+ $21.6

=$64.8

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Answer:

11) 5x + 8 = 7x - 16

24 = 2x

x = 12

7(12) - 16 = 68

90 - 68

m<GJK = 22

12) 4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

4(4) + 15 = 31

90 + 31 + ADE = 180

m<ADE = 59

13) 5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

5(15) - 12 = 63

VWZ + 63 = 90

m<VWZ = 27

14) 9x + 3 = 14x - 27

30 = 5x

x = 6

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

m<DHG = 114

Measure of angles of polygons and quadrilaterals:

1) ∠GJK = 22°

2) ∠ADE = 59°

3) ∠VWZ = 27°

4) ∠DHG = 114°

11)

5x + 8 = 7x - 16

24 = 2x

x = 12

Now substitute the value of x,

7(12) - 16 = 68

90 - 68

∠GJK = 22°

12)

4x + 15 + 13x + 7 = 90

17x + 22 = 90

17x = 68

x = 4

Now substitute the value of x,

4(4) + 15 = 31

90 + 31 + ADE = 180

∠ADE = 59°

13)

5x - 12 + 2x - 3 = 90

7x - 15 = 90

7x = 105

x = 15

Now substitute the value of x,

5(15) - 12 = 63

∠VWZ + 63 = 90

∠VWZ = 27°

14)

9x + 3 = 14x - 27

30 = 5x

x = 6

Now substitute the value of x,

9(6) + 3 = 57

14(6) - 27 =57

90 - 57 = 33

33 + 33 + DHG = 180

∠DHG = 114°

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Answer:

C0C04CL0WN

Step-by-step explanation:

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

All veterinarians that responded to the questionnaire were included in the sample.

Complete Question : Veterinarians often use non-steroidal anti-inflammatory drugs to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which of the following statement is correct?

a. The sample consisted of all veterinarians on the list and therefore equaled the target population.

b. The sample consisted of all veterinarians who returned the questionnaire.

c. The sample consisted of all veterinarians who treat horses with NSAIDs.

d. None of the choices are correct.

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Answer:

The y intercept is -2, because that is the point where the line hits the vertical y intercept. The slope is - 1/4

Step-by-step explanation:

Answer:

slope = -1/4

y-intercept = -2

Unit rate for the given expression 625 ft² in 2/3 hours is equal to

975ft² /hour.

As given in the question,

Given expression :

650 ft² in 2/3 hours

Unit rate for the given expression 625 ft² in 2/3 hours is equal to

In 2 /3 hours  = 650 ft²

Simplify the given expression for the unit rate

  1 hour = 650 / 2 / 3 ft² / hour

Multiply 650 to 3 and divide it by 2 we get,

   1 hour = ( 650× 3 ) / 2 ft² / hour

⇒ 1 hour = 1950 / 2 ft² / hour

⇒  1 hour = 975 ft²/hour

Therefore, unit rate for the given expression 625 ft² in 2/3 hours is equal to 975ft² /hour.

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The distance between any two points (x1,y1) and (x2,y2) can be determined by sqrt((x2-x1)^2+(y2-y1)^2)

In this case, any vertex is translated 3 units to left, on x coordinate, and 5 units up, on y coordinate.

Therefore, the distance the quadrilateral is translated is: sqrt((-3)^2+5^2) = sqrt(34) = 5.83 units.

2 units left means x is deducted by 2

5 units down means y is deducted by 5

So the rule is

New coordinates

Answer:

Below in bold.

Step-by-step explanation:

The vertices of the new triangel are:

A' = (3-2, 5-5) = (1, 0).

In the same way:

B' = (2, -4)

C' = -1, -3).

Answer:

x^4+x^2+5

Step-by-step explanation:

f(x) = x^2 -3x+7

g(x) = x^2+2

f(g(x) =  Place g(x) in for x in the function f(x)

       = (x^2+2)^2 -3(x^2+2) +7

FOIL and Distribute

       = x^4 +2x^2+2x^2 +4 - 3x^2 -6 +7

Combine like terms

    = x^4+x^2+5

Answer:

1500

Step-by-step explanation:

\(\frac{1350}{0.9}=1500\)

The degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.

To determine the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we can use Taylor's inequality:

|f(x) - P_n(x)| ≤ M * |x - a|^(n+1) / (n+1)!

where P_n(x) is the nth degree Maclaurin polynomial of f(x), M is an upper bound for the (n+1)th derivative of f(x) on the interval [0, 0.12], and a = 0.

Since we do not have the function f(x), we can't find the value of M directly. However, we can use the Lagrange error bound formula to find an upper bound for the error in the approximation using the Maclaurin polynomial.

If we assume that the function f(x) has derivatives of all orders on the interval [0, 0.12], we can use the Lagrange error bound formula:

|R_n(x)| ≤ (M * |x - a|^(n+1)) / (n+1)!

where R_n(x) is the remainder term, which is the difference between the actual value of f(x) and the value approximated by the nth degree Maclaurin polynomial, and M is an upper bound for the (n+1)th derivative of f(x) on [0, 0.12].

Assuming that f(x) is the exponential function, we have f^(n)(x) = e^x for all n, and hence M = e^0.12.

To find the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001, we need to solve the following inequality for n:

(e^0.12 * 0.12^(n+1)) / ((n+1)!) ≤ 0.0001

We can solve this inequality numerically, using a calculator or a computer algebra system. Solving this inequality, we get n ≥ 6. Therefore, the degree of the Maclaurin polynomial necessary for the error in the estimate of f(0.12) to be less than 0.0001 is 6.

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Step-by-step explanation:

2x/3 - x/3 = x/3

they both have the same denominators (number at the bottom of the fraction) so all you have to do it subtract the numerators (top of the fraction) together. 2x-x =x, that's why it's x on the numerator for the answer

hope this helps

Step-by-step explanation:

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

2x-x=x

Answer:

Standard form → \(3x^{2} +10x-10\)

Degree → 2

Step-by-step explanation:

GIven polynomial is

⇒\(3x^{2} +4x-10+6x\)

Simplifying,

⇒\(3x^{2} +4x-10+6x\\\\3x^{2} +4x+6x-10\\\\3x^{2} +10x-10\)

The standard form of the given polynomial is:

→\(3x^{2} +10x-10\)

And the degree of this polynomial is 2 because the highest power of the terms is 2.

On using the implicit differentiation the equation of the tangent line the the curve "x² + 2xy - y² + x = 39" at the point (5,9) is 29x - 8y = 73  .

The equation of the curve is  x² + 2xy - y² + x = 39 ;

to find the equation of the tangent , we differentiate the curve with respect to "x" ,

On differentiation ,

We get ,

⇒ d/dx (x² + 2xy - y² + x) = 0 ,

⇒ 2x + 2y + 2x(dy/dx) - 2y(dy/dx) + 1 = 0 ,

⇒ dy/dx = (1 + 2x + 2y)/(2y - 2x) ....equation(1)

We know that the equation of tangent at the point (x₀,y₀) is given as : ⇒ y = y₀ + y'(x₀)(x - x₀) ...equation(2)

where x₀ = 5 and y₀= 9

So from equation(1) , y'(x₀) = (1 + 10 + 18)/(18 - 10) = 29/8 ,

Then equation(2) becomes , y = 9 + 29/8(x - 5) ,

⇒ y = (29/8)x - (73/8) ,

⇒ 29x - 8y = 73 .

Therefore , the equation of the tangent line is 29x - 8y = 73 .

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The given question is incomplete , the complete question is

How do you use implicit differentiation to find an equation of the tangent line to the curve x² + 2xy - y² + x = 39 at the given point (5,9)?