7x =6x-9 ....I’m just confused on how it works still

Correct option is A, The foci of the hyperbola is (0,±√17).

A hyperbola is a plane curve that is produced by a point that is moving so that the difference between the distances from two fixed points is constant. It is created when a double right circular cone intersects with a plane that cuts through both ends of the cone.

The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.

Given the equation of hyperbola is \(\frac{y^2}{12} - \frac{x^2}{5} = 1\)

In this equation,

a² = 12

b² = 5

Using the relation c² = a² + b²

c = √(12 + 5)

c = √ 17

As, the hyperbola is vertical,

The value of foci will be (0,±√17)

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Probability of sample: 0.3872

What is the probability?

The question is about calculating the expected value, standard error, and probabilities for a sampling distribution with a given sample size, population mean, and standard deviation.

To calculate the expected value and standard error for the sampling distribution of the sample mean, use the following formulas:

Expected value (E) = population mean (μ)
Standard error (SE) = population standard deviation (σ) / √n

In this case, μ = -14.1 and σ = 6. The sample size, n, is 74.

Expected value (E) = -14.1 (rounded to 1 decimal place)
Standard error (SE) = 6 / √74 ≈ 0.6972 (rounded to 4 decimal places)

Expected value: -14.1
Standard error: 0.6972

To find the probability that the sample mean is less than -14, first calculate the z-score:

z = (X - μ) / SE

X = -14

z = (-14 - (-14.1)) / 0.6972 ≈ 0.14 (rounded to 2 decimal places)

Next, use a z-table or calculator to find the probability:

Probability = P(Z < 0.14) ≈ 0.5557 (rounded to 4 decimal places)

Probability: 0.5557

To find the probability that the sample mean falls between -14 and -13, calculate the z-scores for both values:

z1 = (-14 - (-14.1)) / 0.6972 ≈ 0.14
z2 = (-13 - (-14.1)) / 0.6972 ≈ 1.58 (rounded to 2 decimal places)

Now, find the probabilities for both z-scores:

P(Z < 0.14) ≈ 0.5557
P(Z < 1.58) ≈ 0.9429

To find the probability that the sample mean falls between -14 and -13, subtract the probabilities:

Probability = P(Z < 1.58) - P(Z < 0.14) ≈ 0.9429 - 0.5557 ≈ 0.3872 (rounded to 4 decimal places)

Probability: 0.3872

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Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

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

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

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complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

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Answer:

Step-by-step explanation:

This linear graph will be shifted downward by 2 1/2 units:  first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.

Answer:

C. Commutative property of addition

Answer:

It is a function.

Step-by-step explanation:

By definition, a function relates each element in the domain to only one element in the range. This means that each vertical line you draw through the x-axis can intersect the function at only one point. ... y = 2x +1. This is the equation of a straight line with slope 2 and y-intercept 1, so it is a function.

A linear function is two distinct but related notions. So, y=2x-1 is also a linear function.

Answer:

Step-by-step explanation:

630/3=210 for each

Answer:

$120

Step-by-step explanation:

Basically, this question is asking how much each friend gets if they split it equally.

------

So:

630 (The profit) ÷ 3 (The friends) = 120

------

Have a good day :)

Answer:

(0,5/9)

Step-by-step explanation:

Answer:

34.3333333333

Step-by-step explanation:

Answer:

d=55h

Step-by-step explanation:

just write out the equation

Answer:

6cm per second

Step-by-step explanation:

30 divided by 5 is 6

Answer:

hourly ot minute

Step-by-step explanation:

rrrrrrrrrffttt

Answer:

option c

Step-by-step explanation:

because the y intercept is -3

The transformation of the expression \(x^{2} -2x-2\) is \((x-1)^2 -3\).

Given equation is: \(x^{2} -2x-2\)

The expansion of (a+b)² is a²+b²+2ab.

We can rewrite the given expression as:

\(x^{2} -2x+1 -3\)..........(1)

We know that \(x^{2} -2x+1\) is the expansion of \((x-1)^2\).

So, (1) can be written as:

\(x^{2} -2x+1 -3\)

\((x-1)^2 -3\)

So, \(x^{2} -2x-2 = (x-1)^2-3\)

Therefore, the transformation of the expression \(x^{2} -2x-2\) is \((x-1)^2 -3\).

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Answer:

The answer is B. (x-1)^2 - 3

Step-by-step explanation:

HOPE THIS HELPS! JUST HELPING PEOPLE IN NEED!

It will takes 15 weeks before Jeremy and Katie have the same amount of money saved up.

Define Expression

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Given,

Jeremy has balance in his savings account = $120

Each week Jeremy adds amount to his account = $14

Katie has balance in her savings account = $180

Each week Katie adds amount to her account = $10

Let, x = number of weeks

At the end of each week Jeremy has = 120 + 14x

At the end of each week Katie has = 180 + 10x

As we want to have same amount in both the account for that just equate the values of each week of Jeremy and Katie.

120 + 14x = 180 + 10x

14x - 10x = 180 - 120

4x = 60

x = 15

Hence, it will takes 15 weeks before Jeremy and Katie have the same amount of money saved up.

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Answer:

C lets look at were this line starts which is in between 7 and 8 right in the middle making it 7.5 it is negative because the point is on the negative side of our graph. Where the line ends in on positive 2 on the x-axis. -Your friend, Bill Cipher

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5x - 17 = 3x + 3 (vertically opposite angles)

5x - 3x = 3 + 17

2x = 20

x = 20/2

x = 10

hope it helps you!

Answer: -50

Step-by-step explanation:

-x + 25 = 75

25 - 75 = x

x = -50

The value of the expression p²m−(np+r) is -2036 after plugging the values of m=−32 , n=2 , p=−8 , and r=4.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

= p²m−(np+r)

Plug m = -32, n = 2, p = -8, and r = 4 in the expression:

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

= (-8)²(-32) − (2×[-8] + 4)

= (64)(-32) − (-2×8 + 4)

= -2048 − (-16 + 4)

= -2048 + 12

= -2036

Thus, the value of the expression p²m−(np+r) is -2036 after plugging the values of m=−32 , n=2 , p=−8 , and r=4.

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To find the absolute maximum value of the function g(x)=−2x^2/x−1 over the closed interval [−3,5], we will use the Extreme Value Theorem (EVT).EVT states that if a function is continuous over a closed interval, then the function will have an absolute maximum and minimum over that interval.

So, for finding the absolute maximum value of the given function, we will follow these steps:Step 1: Check the function's domain.We know that the denominator of the function g(x) is x - 1, so the function is not defined at x = 1. However, the closed interval we are working with is [-3, 5], which does not include x = 1. Hence, the function is defined over this interval.Step 2: Find the critical points of the functionTo find the critical points, we need to differentiate the function g(x) and equate it to zero:g'(x) = (-4x(x-1) + 2x^2)/(x-1)^2= 2x(3-x)/(x-1)^2=0So, the critical points of g(x) are x = 0 and x = 3.Step 3: Find the end-point values of the functiong(-3) = -2/5, g(5) = -50/9.

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Examining the figure properly shows that chord AB in the circle has its length to be equal to 16

Information given from the question is interpreted as

let the center of the circle be O

BE = opposite = ?

OE = adjacent = 6

OB = OA = hypotenuse = radius = 10

Using Pythagoras theorem given by the  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

10² = BE² + 6²

100 = BE² + 36

BE² =  100 - 36

BE = √64

BE = 8

Since line OE is the perpendicular bisector, BE = AE

and from the figure AB = BE + AE

= 8 + 8

= 16

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Answer:

B, C, D

Step-by-step explanation:

According to the problem the algebra tile shape is 13.

Algebra is a branch of mathematics that uses symbols to represent numbers and operations. It helps us to solve problems by using equations and formulas. Algebra is used in many fields, including science and engineering. It is used to solve equations, simplify expressions, and graph functions. Algebraic equations can be used to describe and analyze relationships among different variables. Algebra is also used in applications such as financial planning, engineering, and computer programming. Algebraic equations can be used to solve real-world problems, such as calculating the area of a triangle or finding the maximum profit in a business.

The algebra tile shape at right can be represented as follows:

(x + 1)(x + 2)

The perimeter of the shape can be calculated by adding up the lengths of the four sides. The expression for perimeter is therefore:

Perimeter = 2x + 3

For x = 5, the perimeter is:

Perimeter = 2(5) + 3 = 13

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Answer:

16p+6

Step-by-step explanation:

The shape that has a bigger area is the regular hexagon.

The shape that has a bigger area is the regular hexagon. A hexagon is a polygon with six sides while a pentagon is a polygon with five sides. The area of a polygon measures the surface of the shape.

The polygon with six sides has a greater surface so it is expected that its area will be bigger than that of the pentagon with fewer sides.

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Answer:

See Explanation

Step-by-step explanation:

\( m\angle ADB = m\angle CDB... (given) \\\\

\therefore m\angle ADM = m\angle CDM... (1)\\

(\because D-M-B) \\\\

In\: \triangle 's ADM \: \&\: CDM\\\\

\overline{AD} \cong\overline {CD} ... (given) \\\\

m\angle ADM = m\angle CDM.(From \:1)\\\\

\overline{DM} \cong\overline{DM} ... (given) \\\\

\therefore \triangle ADM \: \cong\: \triangle CDM\\.. (By \: SAS\: postulate) \\\\

\therefore \overline{AM} \cong\overline{CM}..(2)\\(by\: c. s. c. t.) \\\\

m\angle AMD = m\angle CMD..(3)\\(by\: c. a. c. t.)\\\\

\because m\angle AMD + m\angle CMD= 180\degree ..(4)\\

(Linear\: pair\: \angle 's)\\\\

\therefore m\angle AMD + m\angle AMD= 180\degree \\..(From \: 3 \: \& \: 4)\\\\

\therefore 2m\angle AMD = 180\degree\\\\

\therefore m\angle AMD = \frac{180\degree}{2}\\\\

\therefore m\angle AMD =90\degree \\\\

\red{\implies \overline{MD} \perp\overline{AM}} \\\\

\implies m\angle AMB=m\angle CMB= m\angle CMD = 90\degree.. (5)\\\\

In\: \triangle 's ABM \: \&\: CBM\\\\

\overline{AM} \cong\overline{CM}\\.(From \: 2)\\\\

m\angle AMB=m\angle CMB\\..(each\: 90\degree) \\\\

\overline{BM} \cong\overline{BM} ... (common) \\\\

\therefore \triangle ABM \: \cong\: \triangle CBM\\.. (By \: SAS\: postulate) \\\\

\therefore m\angle BAM = m\angle BCM\\(by\: cact) \\\\

\purple {\implies m\angle BAC = m\angle BCA} \\(\because A-M-C) \)

Answer:

I can definitely help you with that math problem! Given the information about the bicycle wheel, we need to find the function that models the height of a spot on the edge of the wheel. We know that the wheel has a diameter of 26 inches, which means the radius is half of that, or 13 inches. Isabelle rides the bike so that the wheel makes two complete rotations per second, which means the period of the function is 1/2 second (since it takes half a second for the wheel to complete one rotation).

Using the formula for a sinusoidal function, we can write the function as h(t) = A sin(2π/B (t - h)) + k, where A is the amplitude, B is the period, h is the horizontal shift, and k is the vertical shift. We can determine the values of these parameters as follows:

- Amplitude: The amplitude is half the distance between the highest and lowest points of the function. Since the radius of the wheel is 13 inches, the highest and lowest points are 26 inches apart. Therefore, the amplitude is 13 inches.

- Period: We know that the period is 1/2 second, so B = 2π/1/2 = 4π.

- Horizontal shift: The function starts at its highest point, so there is no horizontal shift. Therefore, h = 0.

- Vertical shift: The center of the wheel is at a height of 13 inches above the ground, so the vertical shift is also 13 inches.

Putting it all together, we get the function h(t) = 13 sin(4πt) + 13, which corresponds to option C. This function models the height of a spot on the edge of the wheel as Isabelle rides the bike. I hope this explanation helps! Let me know if you have any other questions or if there's anything else I can assist you with.

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In the given observations, we are provided with several terms related to oxidation and asked to match them to appropriate blanks in the provided sentences.

First, let's consider the term "oxidation by oxygen from the air". This term refers to a process by which oxygen molecules from the air react with other molecules, such as those found in our bodies, to transfer electrons and produce new compounds. This process is important in many biological systems, such as respiration, where oxygen is used to produce energy.

Next, let's look at the term "D-3-hydroxyacyl-ACP". This term refers to a specific molecule that is involved in the synthesis of fatty acids in the body. During this process, the molecule undergoes several steps of oxidation and reduction, which ultimately result in the formation of new fatty acids.

The term "decarbonylation induced by NADPH" refers to a specific type of reaction that involves the removal of a carbonyl group from a molecule. This reaction is often catalyzed by enzymes and can be an important step in the synthesis of many different types of compounds.

Finally, the term "acyl-ACP acyl-KS" refers to two different types of molecules that are involved in the synthesis of fatty acids. These molecules are important intermediates in the process of oxidation and reduction that ultimately leads to the formation of new fatty acids.

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Complete Question is Explain these observations Match the words in the left column to the appropriate blanks in the sentences on the right Reset Help oxidation by oxygen from the The produced by one subunit undergoes the on the other subunit air D-3-hydroxyacyl-ACP decarbonylation induced by NAPDH next round of reductive two carbon addition acyl-ACP acyl-KS