What is the equation of the line that passes through the point (-5,-7) and has a slope of 2/5

Step-by-step explanation:

the answer is 9 i hope it helps

The value of the function when x = 2 is 9

Functions are used to represent equations and graphs

The function is given as:

f(x) = 2x^2  - 3x + 7

When x =2, we have:

f(2) = 2(2)^2  - 3(2) + 7

Evaluate the exponent

f(2) = 2(4)  - 3(2) + 7

Evaluate the product

f(2) = 8  - 6 + 7

Evaluate the expression

f(2) = 9

Hence, the value of the function when x = 2 is 9

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24 centimeters. Hope this helped!

The probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

To determine the probability that the other child is also a girl given that one of them is a girl, we need to consider the possibilities of the gender combinations for Alice's two children.

Let's denote the gender of the first child as G (girl) and B (boy), and the gender of the second child as G' and B'.

There are four possible combinations for the gender of the two children: GG, GB, BG, and BB.

However, we are given that one of the children is a girl. This eliminates the BB combination since we know both children cannot be boys.

Thus, we are left with three possible combinations: GG, GB, and BG.

Out of these three combinations, two of them involve at least one girl: GG and GB. This means there is a 2 out of 3 chance that the other child is a girl.

Therefore, the probability that the other child is also a girl, given that one of them is a girl, is 2/3 or approximately 0.6667.

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The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

                                        = $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

                                                         = $ 1.50

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Answer: 87.5%

Step-by-step explanation: We already have our first value 84 and the second value 96. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Y = 84/96

By multiplying both numerator and denominator by 100 we will get:

Y = 84/96 × 100/100 = 87.5/100

Y = 87.5

Finally, we have found the value of Y which is 87.5% and that is our answer.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

SOLUTION

The shape is a parallelogram

The consecutive angle of a parallelogram is supplementary that is added up to 180 degree

Hence we have

Therefore the right option is D

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

d

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The slope is -1/2 and the y-int is 2.

Answer:

47mph

Step-by-step explanation:

329/7=47

To answer your question, we need to use some geometry and conversion factors. The two 50-degree sectors cut from the silver disk form a wedge shape, which we can calculate the volume of.

First, we need to find the radius of the original silver disk. We know that the angle of each sector is 50 degrees, which is 1/5 of a full circle (360 degrees). So, the circumference of the circle would be divided into five equal parts. The formula for circumference is C = 2πr, where r is the radius. Therefore, we can set up the equation 5C/5 = 2πr, or C = (2πr)/5. We know that the weight of the silver disk is 2.3 grams, so we can assume that the density of silver is 10.5 grams per cubic centimeter. Using these values, we can solve for the radius:
2.3 g / (10.5 g/cm^3) = V
V = 0.219 cm^3
C = (2πr)/5
C = (2π)(r) / 5
0.219 = (2π)(r) / 5
r = 0.0878 cm

Now that we know the radius, we can calculate the volume of each earring wedge. The formula for the volume of a wedge is V = (1/6)πh^2(3R-h), where h is the height of the wedge and R is the radius of the original circle. Since we cut two 50-degree sectors from the circle, the central angle of the wedge is 100 degrees, or 5/9 of a full circle. We can use this angle to find the height of the wedge:
100/360 = h / 0.0878
h = 0.0242 cm

Now we can calculate the volume of each wedge:
V = (1/6)π(0.0242)^2(3(0.0878)-0.0242)
V = 0.000069 cm^3

Finally, we can convert this volume to milligrams using the density of silver:
0.000069 cm^3 x 10.5 g/cm^3 x 1000 mg/g = 0.7245 mg
So the silver wedge for each earring weighs approximately 0.725 milligrams.

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Answer:

\(x=61^{\circ}\)

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180 degrees. Therefore, we have the following equation:

\(x+67+52=180,\\x=180-67-52=\boxed{61^{\circ}}\)

The Answer is (x+9)^2

Answer:

-81/20

Step-by-step explanation:

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53

The number of burger sam bought = x

Let the number of burgers for mike be = y

the equation for the total number of burgers will be

Mike brought 5 more than 2 times as many burgers as sam will be represented as

By substituting Eqn 2 in Eqn 1 we will have

Therefore,

The value of x= 15

To calculate the number of burgers mike brought to the BBQ =y,

We will substitute the value of x in (Eqn 1) above

Answer:

Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!

Step-by-step explanation:

Welcome

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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The observer on Earth would observe the rocket to be moving at a speed of approximately 0.76 times the speed of light (c).

According to the theory of special relativity, the observed speed of an object moving relative to an observer depends on their relative velocities. In this scenario, as Spaceship 1 moves away from Earth, it fires a rocket toward Earth with a velocity of 0.30c relative to itself.

To determine the observed speed of the rocket from the perspective of an observer on Earth, we need to apply the relativistic velocity addition formula. This formula accounts for the relativistic effects of time dilation and length contraction.

The relativistic velocity addition formula is:

v_observed = (v1 + v2) / (1 + (v1*v2)/c^2)

In this case, v1 represents the velocity of Spaceship 1 relative to Earth (which is the speed at which it is moving away from Earth), and v2 represents the velocity of the rocket relative to Spaceship 1.

Let's assume Spaceship 1 is moving away from Earth at a speed of v1 = 0.60c (where c is the speed of light) and the rocket is moving with a velocity of v2 = 0.30c relative to Spaceship 1.

Using the formula, we can calculate the observed speed of the rocket from Earth's perspective:

v_observed = (0.60c + 0.30c) / (1 + (0.60c*0.30c)/c^2)

v_observed = 0.90c / (1 + (0.18c^2)/c^2)

v_observed = 0.90c / (1 + 0.18)

v_observed = 0.90c / 1.18

v_observed ≈ 0.76c

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Answer:

if its just in parenthesis then its 19 - 10 = 9

Answer:

−4803390

Step-by-step explanation:

159 (19-10)

159 * 19= 3021

159 * -10= -1590

3021 * -1590= −4803390

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

4t + 6 ≤ 10

Simplify the inequality, then we have

4t + 6 ≤ 10

4t ≤ 10 - 6

4t ≤ 4

t ≤ 4 / 4

t ≤ 1

The solution of the inequality 4t + 6 ≤ 10 will be less than or equal to 1.

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Answer:

30

Step-by-step explanation:

Use pythagorean Theorem to find the hypotenuse

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

Take the square root of both sides

c = 13

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

Perimeter = 5 + 12 + 13

p = 30

The marginal profit at a production level of 3,000 is 8. This means that if the company produces one more unit at this level, it will earn an additional profit of $8.

To find the marginal profit at a production level of 3,000, we need to first find the total revenue and total cost functions:

Total Revenue (TR) = Price (P) x Quantity (Q)

TR = (14 - 0.001x) x x

TR = 14x - 0.001x^2

Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC)

TC = 7,000 + (Cost per unit x Quantity)

TC = 7,000 + (0 x x)

TC = 7,000

Profit (π) = Total Revenue - Total Cost

π = TR - TC

π = (14x - 0.001x^2) - 7,000

π = -0.001x^2 + 14x - 7,000

Now, we can find the marginal profit at a production level of 3,000 by taking the derivative of the profit function with respect to x:

π' = -0.002x + 14

π'(3,000) = -0.002(3,000) + 14

π'(3,000) = 8

The marginal profit at a production level of 3,000 is 8. This means that if the company produces one more unit at this level, it will earn an additional profit of $8. In other words, the profit is increasing at this level of production, but at a decreasing rate since the derivative is negative. The company can use this information to determine the optimal level of production that maximizes profit.

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Answer:

3/20

Step-by-step explanation:

-

Answer:

0.15

Step-by-step explanation:

Answer: 5

Step-by-step 10-5=5

Answer:

5 apples

Step-by-step explanation:

Liam has 10 apples and he gives 5 away to his friend cherry

10-5= 5

He has 5 apples left

Answer:

1100

Step-by-step explanation:

you have to do 25+30=55 then 55x20=1100

The Taylor polynomial of order 3 based at a=1 for the function \(f(x) = e^{(2^x)\) is \(P_3(x) = e^2 + 2e^2ln(2)(x-1) + (4ln^2(2)e^2 + 2e^2ln(2))(x-1)^2/2! + (8ln^3(2)e^2 + 12ln^2(2)e^2 + 2e^2ln(2))(x-1)^3/3!.\)

The Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 7ln(x) at a=1 are:

\(P_0(x) = 0\\P_1(x) = 7x - 7\\P_2(x) = 7x - 7 - 7(x-1)^2/2\\P_3(x) = 7x - 7 - 7(x-1)^2/2 + 14(x-1)^3/3\)

The Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 3/x at x=4 are:

\(P_0(x) = 3/4\\P_1(x) = 3/4 - 3/16(x-4)\\P_2(x) = 3/4 - 3/16(x-4) - 3/64(x-4)^2\\P_3(x) = 3/4 - 3/16(x-4) - 3/64(x-4)^2 + 3/256(x-4)^3\)

To find the Taylor polynomial of order 3 based at a=1 for the function \(f(x) = e^{(2^x)\), we need to find the derivatives of f at x=1 and evaluate them at a.

The derivatives of \(f(x) = e^{(2^x)\) are:

\(f'(x) = 2^x * e^(2^x) * ln(2)\\f''(x) = (2^x * ln(2))^2 * e^(2^x) + 2^x * e^(2^x) * ln(2)\\f'''(x) = (2^x * ln(2))^3 * e^(2^x) + 3 * (2^x * ln(2))^2 * e^(2^x) * ln(2) + 2^x * e^(2^x) * ln(2)\)

Evaluating the derivatives at x=1:

\(f'(1) = 2 * e^2 * ln(2)\\f''(1) = (2 * ln(2))^2 * e^2 + 2 * e^2 * ln(2)\\f'''(1) = (2 * ln(2))^3 * e^2 + 3 * (2 * ln(2))^2 * e^2 * ln(2) + 2 * e^2 * ln(2)\)

The Taylor polynomial of order 3 based at a=1 is given by:

\(P_3(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3!\)

To find the Taylor polynomials of orders 0, 1, 2, and 3 generated by f(x) = 7ln(x) at a=1, we need to evaluate the function and its derivatives at x=1.

f(1) = 7ln(1)

= 7 * 0

= 0 (constant term)

f'(x) = 7 * 1/x

f'(1) = 7 * 1/1

= 7

\(f''(x) = -7/x^2\\f''(1) = -7/1^2\\ = -7\)

\(f'''(x) = 14/x^3\\f'''(1) = 14/1^3 \\= 14\)

The Taylor polynomial of order 0 is simply the constant term: P0(x) = f(1) = 0.

The Taylor polynomial of order 1 is:

\(P_1(x) = f(1) + f'(1)(x-1)\)

= 0 + 7(x-1)

= 7x - 7

The Taylor polynomial of order 2 is:

\(P_2(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! \\= 0 + 7(x-1) - 7(x-1)^2/2\)

The Taylor polynomial of order 3 is:

\(P_3(x) = f(1) + f'(1)(x-1) + f''(1)(x-1)^2/2! + f'''(1)(x-1)^3/3!.\)

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