Suppose you have a line segment with endpoint (-1,2) and midpoint (3,4). Which of the following is the other endpoint of your segment?

it will take approximately 7.57 years for the rabbit population to reach 2,123 rabbits.

To find the number of years it takes for the rabbit population to reach 2,123 rabbits, we can set the formula equal to 2,123 and solve for t:
2,123 = 400 e^(0.21t)
Dividing both sides by 400, we get:
5.3075 = e^(0.21t)
Taking the natural logarithm of both sides, we get:
ln(5.3075) = 0.21t
Solving for t, we get:
t = ln(5.3075) / 0.21
Using a calculator, we get:
t ≈ 7.57 years
Therefore, it will take approximately 7.57 years for the rabbit population to reach 2,123 rabbits. It is important to note that this is assuming the growth rate remains constant and there are no external factors, such as predation or resource availability, that could affect the population size.

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Answer:

3 : 2

Step-by-step explanation:

the ratio of

length : breadth

= 15 : 10 ( divide both parts by 5 )

= 3 : 2

The equation is y is 1/5 + 11.The term "literal equation" refers to an equation with two or more variables.

Explanation:

y = mx + c

1/5 + 11.

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The equation is y is 1/5 + 11.The term "literal equation" refers to an equation with two or more variables.

1. The term "literal equation" refers to an equation with two or more variables. Solve for one variable in terms of the other variable in order to rephrase an equation in its literal form (s). Try to find x in the literal solution of y = 3x + 5xz. Subtract 3 plus 5z from each side.

2. It is written in the form y=mx + b to convert the equation to slope-intercept form.

3. If we know the slope between two points on a line, we may use that information to solve for the y-intercept in the slope-intercept equation y=mx + b, which will then allow us to formulate an equation for that line.

y = mx + c

1/5 + 11.

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1) There is a right angle triangle

2) 22822 miles

3)  45297 miles

A right triangle (also known as a right-angled triangle) is a triangle in which one of the angles is a right angle, that is, an angle of 90 degrees. The side opposite the right angle is the longest side of the triangle and is called the hypotenuse. The other two sides, adjacent to the right angle, are called legs.

The distance between Station 1 to the satellite;

Sin 10 = 3,963 /x

x = 3,963 /sin 10

x = 22822 miles

Distance between satellite  and station 2;

Tan 10 = 3963/x

x = 3,963 /Tan10

x = 22475 miles

Total distance = 22822 miles + 22475 miles

= 45297 miles

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The final amount you will have in the account after 5 years of continuous compounding at an annual interest rate of 10% is approximately $824.36.

Using the formula for continuously compounded interest, we can calculate the final amount you will have in the account after 5 years:

\(A = P x e^(rt)\)

where:

P = $500 (the initial investment)

r = 0.10 (the annual interest rate as a decimal)

t = 5 (the time period in years)

Substituting the values into the formula, we get:

\(A = $500 x e^(0.10 x 5)\)

\(A = $500 x e^(0.50)\)

A = $500 x 1.6487 (rounded to 4 decimal places)

A = $824.36 (rounded to the nearest cent)

Therefore, the final amount you will have in the account after 5 years of continuous compounding at an annual interest rate of 10% is approximately $824.36.

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If you invest $500 at an annual interest rate of 10% compounded continuously, calculate the final amount you will have in the account after five years?

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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Step-by-step explanation:

\(\underline{\underline{\sf{➤ \:\: Solution }}}\)

\( \sf\: \: \: \dfrac{1}{ \sqrt{3} - \sqrt{2} } \)

On rationalising,

\( \sf \implies \dfrac{1}{ \sqrt{3} - \sqrt{2} } \times \dfrac{\sqrt{3} + \sqrt{2} }{\sqrt{3} + \sqrt{2} } \)

Combine the fractions,

\( \sf \implies \dfrac{1(\sqrt{3} + \sqrt{2}) }{(\sqrt{3} - \sqrt{2})(\sqrt{3} + \sqrt{2}) } \)

We know that,

\( \sf \implies (a - b)(a + b) = (a)^{2} - (b)^{2} \)

So,

\( \sf \implies \dfrac{1(\sqrt{3} + \sqrt{2}) }{(\sqrt{3})^{2} - (\sqrt{2}) ^{2} }\)

\( \sf \implies \dfrac{1(\sqrt{3} + \sqrt{2}) }{3 - 2 }\)

\( \sf \implies \dfrac{1(\sqrt{3} + \sqrt{2}) }{1 }\)

\( \sf \implies ( \sqrt{3} + \sqrt{2}) \)

Hence,

On rationalising we got,

\(\implies \bf (\sqrt{3} + \sqrt{2}) \)

Answer:

B. 4(2+5)

Step-by-step explanation:

4 * 2 = 8

4 * 5 = 20

Add the equation in and you get 8+20

Answer:

B

Step-by-step explanation:

4(5+2)

add the brackets.

4(7)

multiply

=28

(8+ 20 also equals 28)

Answer:

8/3 gram

Step-by-step explanation:

Since the hanger is said to be in balance, then the weight on the right balances the weight on the left ;

Right hand side = Left hand side

12 = 4 + x + x + x

12 = 4 + 3x

12 - 4 = 3x

8 = 3x

8/3 = 3x / 3

x = 8/3 gram

Answer:

3

Step-by-step explanation:

Slope m = (y2 - y1)/(x2 - x1)

m = (13 - 1)/(0 - -4) = 12/4 = 3

Answer:

3x^4

Step-by-step explanation:

3x • 3x • 3x • 3x = 3x^4

said like “3x to the 4th power”

Answer:

\((3x)^4}\)

Step-by-step explanation:

further it can represent as \(3^{4} x^{4}\)

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

1. Graphically determine the optimal solution, if it exists, and the optimal value of the objective function of the following linear programming problems.
maximize z = x₁ + 2x₂ subject to 2x1 +4x2 ≤6, x₁ + x₂ ≤ 3, x₁20, and x2 ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

Now, To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 3/4), (0, 0), and (3, 0).

        z = x₁ + 2x₂ = (0) + 2(3/4)

                    = 1.5z = x₁ + 2x₂ = (0) + 2(0) = 0

                        z = x₁ + 2x₂ = (3) + 2(0) = 3

The maximum value of the objective function z is 3, and it occurs at the point (3, 0).

Hence, the optimal solution is (3, 0), and the optimal value of the objective function is 3.2.

maximize subject to z= X₁ + X₂ x₁-x2 ≤ 3, 2.x₁ -2.x₂ ≥-5, x₁ ≥0, and x₂ ≥ 0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function,

        evaluate the objective function at each corner of the feasible region:

                                (0, 0), (3, 0), and (2, 5).

                          z = x₁ + x₂ = (0) + 0 = 0

                          z = x₁ + x₂ = (3) + 0 = 3

                           z = x₁ + x₂ = (2) + 5 = 7

The maximum value of the objective function z is 7, and it occurs at the point (2, 5).

Hence, the optimal solution is (2, 5), and the optimal value of the objective function is 7.3.

maximize z = 3x₁ +4x₂ subject to x-2x2 ≤2, x₁20, and X2 ≥0.

To solve the given linear programming problem, the constraints are plotted on the graph, and the feasible region is identified as shown below:

To find the optimal solution and the optimal value of the objective function, evaluate the objective function at each corner of the feasible region:(0, 1), (2, 0), and (5, 1).

                         z = 3x₁ + 4x₂ = 3(0) + 4(1) = 4

                      z = 3x₁ + 4x₂ = 3(2) + 4(0) = 6

                      z = 3x₁ + 4x₂ = 3(5) + 4(1) = 19

The maximum value of the objective function z is 19, and it occurs at the point (5, 1).Hence, the optimal solution is (5, 1), and the optimal value of the objective function is 19.

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The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Using proportions, it is found that Ms. Grant had $18,896 of his total savings left after making the donation.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, she saved $80 a month for 22 years = 22 x 12 months, hence the total amount saved is given by:

T = 80 x 22 x 12 = $21,120.

She donated 20% of her savings to a charity, hence she retained 80% of the total amount, which is given by:

R = 0.8 x 21,120 = $18,896.

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The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

The point of turn or angle of rotation of 360° is a point of rotational symmetry for all figures. Therefore, the correct answer is option number 4.

This indicates that the figure will appear identical to its original form when it is rotated 360 degrees around its center point. At the end of the day, the figure will have a similar direction as it had before the turn. In geometry, this property is frequently used to identify shapes with rotational symmetry and to create repeating patterns and designs.

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Complete Question:

which angle of rotation is an angle of rotational symmetry for all figures? 45°

90°

180°

360°

If each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. The person that had a head start is: Rita had a 28-mile head start.

Slope for speed = (y² - y1) / (x² - x1)

Slope for speed = (130 - 65) / (2 - 1)

Slope for speed= 65 / 1

Slope for speed= 65 mph

Determining Roger's starting position if Roger distance is 65.

Hence,

Mile of head start = Slope of speed - Roger distance

Mile of head start = 65 mph - 65 miles

Mile of head start = 0 miles

Rita  starting position if Rita distance is 93

Slope for speed = (y² - y1) / (x² - x1)

Slope for speed = (158 - 93) / (2 - 1)

Slope for speed = 65 / 1

Slope for speed = 65 mph  

Mile of head start = Slope of speed - Rita distance

Mile of head start =  93 - 65

Mile of head start= 28 miles

Therefore we can conclude that Rita has a head start of 28 miles.

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Answer:

Rita had a 28-mile head start.

Step-by-step explanation:

EDGE

Answer:

163.485

Step-by-step explanation:

multiply 13.5 x 12.11

The ordered pairs in S are {(4, 4), (5, 5)}, and the ordered pairs in S–1 are {(4, 4), (5, 4), (5, 5), (6, 5)}.

The relation S is defined as x S y ⇔ x | y, which means that x divides y.

Using this definition, we can determine which ordered pairs are in S:

(3, 4) is not in S, since 3 does not divide 4

(3, 5) is not in S, since 3 does not divide 5

(3, 6) is not in S, since 3 does not divide 6

(4, 4) is in S, since 4 divides 4

(4, 5) is not in S, since 4 does not divide 5

(4, 6) is not in S, since 4 does not divide 6

(5, 4) is not in S, since 5 does not divide 4

(5, 5) is in S, since 5 divides 5

(5, 6) is not in S, since 5 does not divide 6

Therefore, the ordered pairs in S are:

{(4, 4), (5, 5)}

The relation S–1 is the inverse of S. An ordered pair (a, b) is in S–1 if and only if (b, a) is in S. In other words, (a, b) is in S–1 if and only if b divides a.

Using this definition, we can determine which ordered pairs are in S–1

(4, 3) is not in S–1, since 4 does not divide 3

(5, 3) is not in S–1, since 5 does not divide 3

(6, 3) is not in S–1, since 6 does not divide 3

(4, 4) is in S–1, since 4 divides 4

(5, 4) is in S–1, since 5 divides 4

(6, 4) is not in S–1, since 6 does not divide 4

(4, 5) is not in S–1, since 4 does not divide 5

(5, 5) is in S–1, since 5 divides 5

(6, 5) is in S–1, since 6 divides 5

Therefore, the ordered pairs in S–1 are  {(4, 4), (5, 4), (5, 5), (6, 5)}

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The given question is incomplete, the complete question is:

Let A = {3, 4, 5} and B = {4, 5, 6} and let S be the “divides” relation. That is, for all (x, y) ∈ A x B,

x S y ⇔ x | y.

State explicitly which ordered pairs are in S and S–1.

Answer:

60 minutes, 1 hour

Step-by-step explanation:

5 minutes for 1/3 of a mile, means 15 minutes per mile

15 x 4 = 60 minutes

Answer:

16.9265381881

Step-by-step explanation:

Tangent = Opposite/Adjacent.

Thus, tan62 = x/9 --> tan62 = 1.88072646535, multiply by 9 to get x, 1.88072646535* 9 = 16.9265381881

Answer:

B. x+4y=16

Step-by-step explanation:

y=-1/4 x +4

4y=-x+16

x+4y=16

Answer:The answer is A,B, and D

Step-by-step explanation:I just know lol

To find the maximum amount of money that an attorney can receive for different jury award sizes, we need to apply the given percentages based on the specified ranges.

To calculate the maximum amount an attorney can receive for a given jury award, we need to determine the applicable percentages for each range. For a jury award of $250,000, the first $150,000 is subject to a 40% percentage, which amounts to $60,000. The remaining $100,000 falls into the next range and is subject to a 33.3% percentage, resulting in $33,300. Adding these amounts together, the maximum amount the attorney can receive is $60,000 + $33,300 = $93,300.

Similarly, for a jury award of $350,000, the attorney can receive $60,000 + $50,000 (33.3% of $150,000) + $20,000 (30% of $200,000) = $130,000.

For a jury award of $560,000, the attorney can receive $60,000 + $50,000 + $60,000 (30% of $200,000) + $48,000 (24% of $200,000) + $32,000 (24% of $60,000) = $204,000.

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Answer:

1. Linear

2. Nonlinear

Step-by-step explanation:

1. The line has a slope/constant rate of change

2. Contains a curve and does not have a uniform slope

Answer:

meh uwu  uwu  uwu

Step-by-step explanation:

Answer:

Step-by-step explanation:

The function f(w) is the difference of c(w) and a(w):

Correct choice is C

Applying the definition of linear pair angles, the measures are:

y = 10

m∠JKM = 106°

m∠MKL = 74°

A linear pair involves two angles that lie adjacent to each other on a straight line. The sum of their measures is equal to 180 degrees, this is because linear pair angles are supplementary to each other.

Given the following:

Measure of angle JKM = (10y + 6)°

Measure of angle MKL = (8y - 6)°

Therefore:

m∠JKM + m∠MKL = 180 [linear pair angles are supplementary]

Substitute

10y + 6 + 8y - 6 = 180

Combine like terms

18y = 180

18y/18 = 180/18

y = 10

Plug in the value of y to find the measures:

Measure of angle JKM = (10y + 6)° = 10(10) + 6 = 106°

Measure of angle MKL = (8y - 6)° = 8(10) - 6 = 74°

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Answer:

n= -3.5

Step-by-step explanation:

n/7 - 12 = 5n +5

+12            +12

n/7 = 5n+17

*7      *7

n = (5n+17)*7

n = 35n + 119

-35n    -35n

-34n = 119

/-34     /-34

n = -3.5