How do you solve this?

Answer:

y = 24

Step-by-step explanation:

We can dilate the other sides to figure out what the scale factor is. Once we know the scale factor we can find y.

Divide 12 by 4.

12 / 4 = 3

The scale factor is 3.

Now we must multiply 8 by 3.

8 * 3 = 24.

y = 24.

The distance between the ships is changing at a rate of approximately 22.87 knots at 5 pm.

To find the rate at which the distance between the ships is changing at 5 pm, we can use the concept of relative velocity. The ships are moving in different directions, and their velocities can be represented as vectors.

Ship A is sailing due west at a speed of 22 knots, while Ship B is sailing due north at a speed of 23 knots. We can form a right triangle with the distance between the ships as the hypotenuse.

Using the Pythagorean theorem, the distance between the ships is √(40^2 + (22t)^2), where t represents the time in hours since noon. At 5 pm, t is 5 hours.

Taking the derivative of the distance with respect to time, we can find the rate of change of distance. Differentiating the expression and plugging in t = 5, we get the rate of change as approximately 22.87 knots.

Therefore, the distance between the ships is changing at a rate of approximately 22.87 knots at 5 pm.

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Answer: -x

Step-by-step explanation:

2x−3+(2)(2)−3x−((3)(2)−5)

Distribute the Negative Sign:

=2x−3+(2)(2)−3x+−1((3)(2)−5)

=2x+−3+(2)(2)+−3x+−1(3)(2)+(−1)(−5)

=2x+−3+(2)(2)+−3x+−6+5

=2x+−3+4+−3x+−6+5

Combine Like Terms:

=2x+−3+4+−3x+−6+5

=(2x+−3x)+(−3+4+−6+5)

(a) If det(A) = 1, then it can be proven that adj(adj(A)) = A using property that the adjugate of a matrix is the transpose of its cofactor matrix,

(b) If A is nonsingular, it can be shown that adj(A) is also nonsingular and that adj(A)⁻¹ = (1/det(A))A⁻¹. This result follows from the properties of the adjugate matrix and the inverse of a nonsingular matrix.

(a) When det(A) = 1, we know that A is invertible. The adjugate matrix of A, denoted by adj(A), is defined as the transpose of the cofactor matrix of A. By applying the properties of the adjugate and cofactor matrices, we can show that adj(adj(A)) = A.

(b) If A is nonsingular, it means that A is invertible and its determinant det(A) is nonzero. In this case, we can prove that adj(A) is also nonsingular, and its inverse is given by adj(A)⁻¹ = (1/det(A))A⁻¹. This result can be derived by using the properties of the adjugate matrix and the inverse of a nonsingular matrix.

Overall, these proofs establish the relationships between the adjugate matrix, the determinant, and the inverse of a matrix, providing insights into their properties and interconnections.

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Answer:

16m, 64m, 144m

Step-by-step explanation:

d=16t²

t=1                    t=2                   t=3

d=16×1²           d=16×2²            d=16×3²

d=16×1            d=16×4              d=16×9

d=16m            d=64m              d=144m

Answer: Answer is -1/2

Step-by-step explanation:

when finding slope between 2 points you use the formula y2-y1/x2-x1

Answer:

slope = (y2-y1) =( -2 -4 )   =  -6

             (X2-X1)= (10- -2)   =  12    Slope = -6/12

Step-by-step explanation:

in each set of numbers is (x,y)

when you have two sets of numbers

select one set of numbers to be (x1,y1) other (x2,y2)

slope form is above  : just draw a line line division

Answer:

The equation that can be used to describe the possible distances of the Earth from the Sun, with the distances given in million of miles is;

d = 93 ± 1.6

Step-by-step explanation:

The parameters given are;

The mean distance of the Earth from the Sun, d = 93 million

The amount by which the distance varies = 1.6 million

Therefore, the equation that can be used to describe the possible distances of the Earth from the Sun, with the distances given in million of miles is  given as follows;

d = 93 ± 1.6

Therefore, the range of values for the distance of the Earth from the Sun can be presented as follows;

93 - 1.6 ≤ d ≤ 93 + 106

Which gives

91.4 ≤ d ≤ 94.6

Answer:

(3a-7)²

Step-by-step explanation:

Sum=-42

Prodect=441

9a²-21a-21a+49

3a(3a-7)-7(3a-7)

(3a-7)(3a-7)

=(3a-7)²

The maximum value of B is 80.

1. We are given the expression B = 5xy² and the constraint x + y² = 8.

2. We need to find the maximum value of B by optimizing the variables x and y.

3. To solve this problem, we can use the method of Lagrange multipliers.

4. Let's define the Lagrange function L(x, y, λ) as L(x, y, λ) = B - λ(x + y² - 8).

5. Taking the partial derivatives of L concerning x, y, and λ, we have:

  ∂L/∂x = 5y² - λ

  ∂L/∂y = 10xy - 2λy

  ∂L/∂λ = -(x + y² - 8)

6. Setting the partial derivatives equal to zero, we get the following equations:

  5y² - λ = 0    ...(1)

  10xy - 2λy = 0  ...(2)

  x + y² = 8     ...(3)

7. From equation (1), we can solve for λ in terms of y:

  λ = 5y²    ...(4)

8. Substituting equation (4) into equation (2), we have:

  10xy - 2(5y²)y = 0

  10xy - 10y³ = 0

  10y(x - y²) = 0

9. From the above equation, we have two possibilities:

  i) 10y = 0, which implies y = 0.

  ii) x - y² = 0, which implies x = y².

10. If y = 0, then from equation (3), we get x = 8.

11. If x = y², then substituting this into equation (3), we have:

   y² + y² = 8

   2y² = 8

   y² = 4

   y = ±2

   If y = 2, then x = (2)² = 4.

   If y = -2, then x = (-2)² = 4.

12. We have three potential solutions: (x, y) = (8, 0), (4, 2), and (4, -2).

13. Finally, substitute each of these solutions into the expression B = 5xy² and find the maximum value of B:

   B = 5(8)(0)² = 0

   B = 5(4)(2)² = 80

   B = 5(4)(-2)² = 80

14. Therefore, the maximum value of B is 80.

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Answer:

x=

−1

2

y+

25/2

Step-by-step explanation:

Let's solve for x.

2x+1y=25

Step 1: Add -y to both sides.

2x+y+−y=25+−y

2x=−y+25

Step 2: Divide both sides by 2.

2x

2

=

−y+25

2

x=

−1

2

y+

25

2

Answer:

Conversion a mixed number -3 1

2

to a improper fraction: -3 1/2 = -3 1

2

= -3 · 2 + (-1)

2

= -6 + (-1)

2

= -7

2

To find new numerator:

a) Multiply the whole number -3 by the denominator 2. Whole number -3 equally -3 * 2

2

= -6

2

b) Add the answer from previous step -6 to the numerator 1. New numerator is -6 + 1 = -5

c) Write previous answer (new numerator -5) over the denominator 2.

Minus three and one half is minus five halfs

Conversion a mixed number -1 1

4

to a improper fraction: -1 1/4 = -1 1

4

= -1 · 4 + (-1)

4

= -4 + (-1)

4

= -5

4

To find new numerator:

a) Multiply the whole number -1 by the denominator 4. Whole number -1 equally -1 * 4

4

= -4

4

b) Add the answer from previous step -4 to the numerator 1. New numerator is -4 + 1 = -3

c) Write previous answer (new numerator -3) over the denominator 4.

Minus one and one quarter is minus three quarters

Multiple: -7

2

* (-5

4

) = -7 · (-5)

2 · 4

= 35

8

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(35, 8) = 1. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - minus seven halfs multiplied by minus five quarters = thirty-five eighths.

Unary minus: -7

2

= -7

2

Subtract: the result of step No. 4 - (-17

4

) = -7

2

- (-17

4

) = -7 · 2

2 · 2

- (-17)

4

= -14

4

- (-17

4

) = -14 - (-17)

4

= 3

4

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - minus seven halfs minus minus seventeen quarters = three quarters.

Compare: the result of step No. 3 = the result of step No. 5 = 35

8

= 3

4

= 35

8

vs 3

4

= 35

8

vs 3 · 2

4 · 2

= 35

8

vs 6

8

= 35 vs 6 = No

Step-by-step explanation:

Answer:

729

Step-by-step explanation:

idk how to really "

step by step this"

Answer:

-2< p < -6 hope this helps

Answer:

37 and 39

Step-by-step explanation:

Answer:

37+39=76

Step-by-step explanation:

Answer: v =  3 /7 y +  4 /7

Step-by-step explanation:

Step 1: Add -3 to both sides.

−7v+3+−3=−3y−1+−3

−7v=−3y−4

Step 2: Divide both sides by -7.

−7v /−7  =  −3y−4 /-7

v= 3 /7 y +  4 /7

The answer is option (C) 120 years.

The life span of the Galápagos Islands giant tortoise is roughly normal, with a mean of 100 years and a standard deviation of 15 years.

To determine the age of a Galápagos Islands giant tortoise at the 90th percentile of the distribution, follow the steps below:

Step 1: Find the z-score The z-score formula is used to calculate the standard score. It is represented by:z = (X - μ)/σ, where X is the data point, μ is the mean, and σ is the standard deviation.

Substituting values in the formula, we get: z = (X - 100)/15

We need to find the value of X at the 90th percentile.

In other words, we need to find the value of X such that P(X ≤ x) = 0.90.

Using the z-table, we find the corresponding z-score that corresponds to a probability of 0.90.

This is given as: z = 1.28

Therefore, we can say that: 1.28 = (X - 100)/15Solving for X,

we get: X = 120 years

Hence, the age of a Galápagos Islands giant tortoise at the 90th percentile of the distribution is approximately 120 years.

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Answer:

None of those answers are correct

Step-by-step explanation:

There are no real solutions

Let's solve your equation step-by-step.

2+2x−3

2x+3

=

3x+4

x+2

Step 1: Cross-multiply.

2+2x−3

2x+3

=

3x+4

x+2

(2+2x−3)*(x+2)=(3x+4)*(2x+3)

2x2+3x−2=6x2+17x+12

Step 2: Subtract 6x^2+17x+12 from both sides.

2x2+3x−2−(6x2+17x+12)=6x2+17x+12−(6x2+17x+12)

−4x2−14x−14=0

For this equation: a=-4, b=-14, c=-14

−4x2+−14x+−14=0

Step 3: Use quadratic formula with a=-4, b=-14, c=-14.

x=

−b±√b2−4ac

2a

x=

−(−14)±√(−14)2−4(−4)(−14)

2(−4)

x=

14±√−28

−8

Answer:

No real solutions.

Answer:

It should be B, hun

hope this helps!

To complete the Material Requirements Planning (MRP) table for product A, we need to calculate the Net Requirements and Planned Order Releases based on the given information. Here's the completed MRP table:

Lot Volume = multiples of 50

Delivery Time = 2 weeks

Starting Inventory: 30

| Period | Gross Need | Scheduled Receipt | Projected Inventory | Net Requirements |

| 1 | 25 | | 30 | 0 |

| 2 | 30 | | | |

| 3 | 56 | | | |

| 4 | 25 | | | |

| 5 | 100 | | | |

| 6 | 40 | | | |

| 7 | 30 | | | |

To calculate the Scheduled Receipt and Projected Inventory, we need to consider the lot volume and delivery time. Assuming a lot volume of 50 and a delivery time of 2 weeks, the calculations are as follows:

Period 1:

Scheduled Receipt = 0 (No orders scheduled to arrive in this period)

Projected Inventory = Starting Inventory + Scheduled Receipt - Gross Need = 30 + 0 - 25 = 5

Period 2:

Scheduled Receipt = 50 (Order placed to fulfill the gross need of 30)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = 5 + 50 - 30 = 25

Period 3:

Scheduled Receipt = 50 (Order placed to fulfill the gross need of 56)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = 25 + 50 - 56 = 19

Period 4:

Scheduled Receipt = 0 (No orders scheduled to arrive in this period)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = 19 + 0 - 25 = -6

Period 5:

Scheduled Receipt = 100 (Order placed to fulfill the gross need of 100)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = -6 + 100 - 100 = -6

Period 6:

Scheduled Receipt = 50 (Order placed to fulfill the gross need of 40)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = -6 + 50 - 40 = 4

Period 7:

Scheduled Receipt = 0 (No orders scheduled to arrive in this period)

Projected Inventory = Previous Projected Inventory + Scheduled Receipt - Gross Need = 4 + 0 - 30 = -26

The Net Requirements are calculated as the difference between the Gross Need and the Projected Inventory. If the Net Requirements are positive, it indicates the quantity needed to fulfill the demand. If the Net Requirements are negative, it means there is excess inventory.

Please note that this MRP table assumes no changes in demand, lead time, or lot sizing throughout the periods.

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Answer:

Slope: 16-7 / 2-(-1) = 9 / 3 = 3

Equation is y=3x+b

Plug in (-1, 7)

7=-3+b

b=10

y=3x+10

Answer = y=3x+10

The Dickey-Fuller test is a statistical test used to determine the presence of a unit root in a time series variable, which indicates the degree of integration of the variable. The null hypothesis of the test is that the variable has a unit root and is non-stationary.

The Dickey-Fuller test calculates a t-statistic based on the coefficient estimate of an autoregressive lagged term in a regression model. If the calculated t-statistic is less than the critical value, the null hypothesis is rejected, indicating that the variable is stationary and does not have a unit root. The augmented Dickey-Fuller (ADF) test extends the Dickey-Fuller test by including additional lagged terms in the regression model. The purpose of adding lagged terms is to capture any potential serial correlation and provide more accurate results. The ADF test allows for testing multiple lags and selecting the appropriate lag length using information criteria such as the Akaike Information Criterion (AIC) or the Schwarz Information Criterion (SIC). By including more lags, the ADF test improves the reliability of the test and provides more robust results. In summary, both the Dickey-Fuller and augmented Dickey-Fuller procedures are used to test for the order of integration of a time series variable. They examine whether the variable exhibits a unit root, indicating non-stationarity. The ADF test, with its inclusion of additional lagged terms, enhances the reliability of the test and allows for the selection of the optimal lag length.

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Answer:

15.21 yd

Step-by-step explanation:

The maximum height is the value of the y- coordinate of the vertex.

Given a parabola in standard form y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = - 0.04x² + 1.56x ← is in standard form

with a = - 0.04 and b = 1.56 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{1.56}{-0.08}[/tex] = 19.5

Substitute x = 19.5 into the equation for corresponding value of y

y = -0.04(19.5)² + 1.56(19.5) = - 15.21 + 30.42 = 15.21 yd

Maximum height is 15.21 yd

The approximate maximum height of the football is 15.21 yd.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that, the path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x² + 1.56x, where x is the horizontal distance in yards and y is the corresponding height in yards,

We need to find the maximum height of the football,

So, the function is :-

y = f(x) = -0.04x² + 1.56x

Since, we need to find maximum height and y represents that height we need to find extremes of the function.

Finding first derivative of function :-

y' = -0.08x + 1.56

Make it equal to 0 and solve for x :-

-0.08x + 1.56 = 0

x = 19.5

Put the value of x in the original function,

y = -0.04(19.5)² + 1.56 × 19.5 = 15.21

Hence, the approximate maximum height of the football is 15.21 yd.

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Answer:

26=1.25x+4.50    17 rides

Step-by-step explanation:

26=1.25+4.50    26-4.50= 21.50   After buying the pretzel Michelle has $21.50 left.     21.50 divided by 1.25 = 17.2 But since you can't ride .2 of a ride, it is rounded to 17 rides.

Answer: The first one, y = 3x - 4

Hope this helps :)

Answer:

Option 1, which is y= 3x - 4

Total Integer Model: A total integer model refers to a mathematical optimization model where all decision variables must take integer values. This means that the variables cannot have fractional or decimal values, only whole numbers.

Total integer models are commonly used in situations where the decision variables represent discrete or countable quantities, such as the number of units to produce or the number of employees to hire.

0-1 Integer Model: A 0-1 integer model is a specific type of total integer model where the decision variables can only take binary values, 0 or 1. These models are often used for binary decision problems, where the variables represent choices that can either be selected (1) or not selected (0). Examples include selecting whether to invest in a project or not, assigning tasks to workers, or determining the on/off state of certain equipment Mixed Integer Model: A mixed integer model combines both integer and continuous variables. In this type of model, some decision variables can take fractional or decimal values (continuous variables), while others must take integer values. Mixed integer models are employed when the problem involves a combination of discrete decisions and continuous optimization, allowing for a more flexible representation of real-world scenarios. These models are widely used in areas such as production planning, logistics, scheduling, and resource allocation, where both discrete and continuous variables play a role in the decision-making process.

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Let's suppose the original length and width of the photo is L and W, respectively. As given, the original dimensions are 9 inches by 12 inches. L = 9 inches and W = 12 inches

The given scale factor is 3/4 and we have to find the new dimensions of the photo.So, the new length of the photo will be 3/4 of the original length and the new width will be 3/4 of the original width.New length of the photo = (3/4)LNew width of the photo = (3/4)W

Substituting the given values of L and W, we get;

New length of the photo = (3/4)(9) inches = 6.75 inches

New width of the photo = (3/4)(12) inches = 9 inches

Therefore, the new dimensions of the photo with a scale factor of 3/4 are 6.75 inches by 9 inches  

Thus, the dimensions of the photo with a scale factor of 3/4 are 6.75 inches by 9 inches.

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multiplying the parenthesis out

Step-by-step explanation:

so that it wont lock the equation if that makes sense

Answer:

4x+3(x+2)=5(2x-3)

4x+3x+6=10x-15            (distributive property)

Answer:

-5x = 20

x= - 4 ( if your question is finding the value of "x"

Answer:

-4=is the answer

Step-by-step explanation:

here,

7x - 12x = 13 + 7

or, -5x = 20

or, -x = 20

5

or, x =-4