Which graph represents the hyperbola x2/52-y2/42 = 1?

Answer:

4.28%

Step-by-step explanation:

We Know

Last year you earned $72,400

This year you earned $75,500

What was the rate of change in your earnings since last year?

We Take

(75,500 ÷ 72,400) x 100 ≈ 104.28%

Then We Take

104.28 - 100 = 4.28%

So, the earning increased by about 4.28%.

Answer:

Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.

Step-by-step explanation:

Based results, it appears that the question is asking for the resultant ground speed (magnitude) and direction of a plane flying at 700 mph on a course heading 10° East of North, while experiencing a wind blowing in a direction of 72° West of North at a speed of 150 mph. Here is how to solve this problem:

Convert the course heading and wind direction angles to Cartesian coordinates using the standard unit vector notation i and j. The course heading is (cos(10°)i + sin(10°)j) and the wind is (-cos(72°)i + sin(72°)j).

Add these vectors together to get the resultant vector. The sum is (-478.3i + 684.2j).

Find the magnitude of the resultant vector using the Pythagorean theorem. The magnitude is approximately 825.8 mph.

Find the angle that the resultant vector makes with respect to the North using the inverse tangent function. The angle is approximately 53.8° East of North.

Therefore, the resultant ground speed of the plane after accounting for the wind is approximately 825.8 mph, and the resultant direction is 53.8° East of North.

( Sorry if the answer is wrong ).

Answer:

65% of what number is 39=25.35

30% of what number 15=4.5

Step-by-step explanation:

The statement that is true about the function is:

A function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have:

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5.

Hence, the correct option is A.

To know more about the function of a graph, visit:

https://brainly.com/question/32687137

Answer:

A quadrilateral's interior angles have a sum of 360°.

Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.

We can add these angles plus the unknown angle to equal a total of 360°.

85 + 100 + 90 + x(our unknown missing angle) = 360

simplify

275 + x = 360

Isolate x by subtract 275 from both sides;

-275       -275

x = 85, ∠1 = 85°

We can also double check:-

85 + 100 + 90 + 85 = 360

360 = 360 which is correct.

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

For more questions on distance formulae

https://brainly.com/question/661229

#SPJ8

Answer: 8.059 i think this is he answer

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3 white counters and 1 black counter,

3+1 = 4

the chances of you choosing the black counter is 1/4

1/4 can also be written as 0.25.

Answer:

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

Step-by-step explanation:

Probability is the likeliness of occurrence of an event.

Given

There are three white and 1 black counter in the bag which means our sample space contains 3+1 = 4 elements

n(S) = 4

Let B be the event that the drawn out counter is black. As there is only one black counter

n(B) = 1

The probability of choosing a black counter is:

\(P(B) = \frac{n(B)}{n(S)}\\P(B) = \frac{1}{4} = 0.25\)

Hence,

The probability of choosing a black counter is 0.25.

Also the picture is attached for the mark on scale.

True, false, true, true, false and true are the answers of statements a to f respectively.

A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.

(a) A linear transformation \(T:R^n\rightarrow R^m\) is completely determined by the effect on the columns of the n x n identity matrix is true from the fact that the columns of any n x n matrix A completely determine the linear transformation T defined by T(x) = Ax for any vector x in Rⁿ.

(b) False. There exist linear transformations from Rⁿ to Rⁿ that are not matrix transformations.

(c) True. The range of the matrix transformation H Ax is the set of all possible linear combinations of the columns of A.

(d) True. A linear transformation  \(T:R^n\rightarrow R^m\)  is one-to-one if and only if T(x) = T(y) implies x = y for any vectors x and y in Rⁿ.

(e) False. The matrix transformation x → Ax is one-to-one if and only if the equation Ax = 0 has only the trivial solution (i.e., x = 0).

(f) True. The matrix transformation x → Ax is one-to-one if and only if the kernel of the linear transformation T(x) = Ax is trivial, which is equivalent to the columns of A being linearly independent.

Hence, true, false, true, true, false and true are the answers of statements a to f respectively.

To learn more on Matrices click:

https://brainly.com/question/28180105

#SPJ1

first step: we can rotate the polygon A 90 degrees clockwise.

Second step: then we translate the polygon -4 units in the y axis

third step: then we translate the polygon +5 units along the x axis, and we have the polygon B.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

Learn more on a Ferris wheel here;

https://brainly.com/question/30524034

#SPJ1

Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

\(\displaystyle\\(a+b)^n\\T_{r+1}=\binom{n}{r}a^{n-r}b^r\\\\\\(x+2)^7\\a=2x\\b=3\\r+1=4\Rightarrow r=3\\n=5\\T_4=\binom{5}{3}\cdot (2x)^{5-3}\cdot3^3\\T_4=\dfrac{5!}{3!2!}\cdot 4x^2\cdot27\\T_4=\dfrac{4\cdot5}{2}\cdot 4x^2\cdot27\\\\T_4=1080x^2\)

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

Answer:

b

Step-by-step explanation:

-3x is the rate of change, so minus 3X= -17/3

Answer:

1.29, 1.202, 1.02

Step-by-step explanation:

The number of months to reach 51 can be illustrated as 3060 - 100x = 51.

The expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both.

The farmer planted 3,060 tomato plants in his garden.

Let's assume there's a decrease of 100 monthly.

The number of months, x, it will take for the number of tomato plants in his crop to reach 51 = c

This will be:

3060 - 100x = 51.

This illustrates the equation for the number of months.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Answer:

-10

Step-by-step explanation

-26 x 2 3/5 = -10

-10 x 2 = -20

3/5 of -10 is -6

-20 - 6 = -26

The number is 10.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let the number is n,

The equation formed from the statement is

(2 3/5 ) * n = -26

(13/5 ) * n =26

n = 26 * 5 / 13

n = 10

To know more about Equation

https://brainly.com/question/10413253

#SPJ5

The p-value from the hypothesis is 0.0583 which is not significant at p<0.05

To determine the p-value of the hypothesis, we need to use the formula;

z = (x - a) / √(a(1 - a)/n)

x = 93 / 900 = 31/300 = 0.103

a = 12% = 12/100 = 0.12

n = 900

Substituting the values into the formula;

z = (0.103 - 0.12)/√(0.12(1 - 0.12)/900)

z = -0.017 / √0.0001173

z = -1.569

Using a standard normal distribution table;

p-value = 0.058324

Learn more on p-value here;

https://brainly.com/question/4079902

#SPJ1

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

B

Step-by-step explanation:

-4x+2<6

-4x+2 -2 < 6 -2

-4x < 4

-4x ÷ -4 < 4 ÷ -4

x < -1

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Answer:

{12,15}

Step-by-step explanation:

54 = 2(L + W)

27 = L + W

27 - L = W

LW = 180

L(27 - L) = 180

27L - L2 = 180

0 = L2 - 27L + 180                FOIL

0 = (L - 12)(L - 15)

{12, 15}

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

For more questions on expressions

https://brainly.com/question/30715930

#SPJ8

Answer: 2,2 and 4,4 are the cordnets, i believe 3/3 is the slope { positive slope}

Step-by-step explanation:

Answer:

11/40, 0.275

Step-by-step explanation:

3/8 divided by 1/10 is 11/40/0.275.

The probability that a mouse leaves first and then a bat is given as follows:

14/55.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

As the animal is not replaced, the probabilities for this problem are given as follows:

Hence the probability is given as follows:

4/11 x 7/10 = 2/11 x 7/5 = 14/55.

Learn more about the concept of probability at https://brainly.com/question/24756209

#SPJ1

Answer:

The answer is "Option b".

Step-by-step explanation:

In the calculation of engineering or modeling, it is used to assess its necessary system, that performance, and also used to evaluate the distribution network adjustments, which is used to accommodate the slew of other distribution network adjustments, that's why except "choice b" all were incorrect.