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What is the equation of the exponential graph shown

The complete question is

"Find the general solution of the given differential equation

y''-y=0, y1(t)=e^t , y2(t)=cosht

The function \(y(t)=e^t\)  is the solution of the given differential equation.

The function y(t)=cosht is the solution of given differential equation.

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

\(y_1(t) = e^t\)

Given differential equations are,

y''-y = 0

 So that,  

\(y' (t) = e^t, y'' (t) = e^t\)

Substitute values in the given differential equation.

\(e^t -e^t=0\)

Therefore, the function \(y(t)=e^t\)  is the solution of the given differential equation.

Another function;

\(y(t)=cosht\)  

So that,  

\(y"(t)=sinht\\\\y"(t)=cosht\)

Hence, function y(t)=cosht is solution of given differential equation.

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Answer:

C

Step-by-step explanation:

you have the angle, adjacent and you want to find the hypotenuse

therefore use CAH - (I drew the triangle on the bottom of the attachment )

length of A / cos(angle) = hypotenuse

7 / cos(39)=9.007

Answer:

C: 9 to the nearest tenth

Step-by-step explanation:

You  have three choices on your calculator to solve this problem. Only 1 of the three will work.

Sin(39)

Tan(39)

Cos(39)

You want the hypotenuse (x) and you are given the adjacent side. The adjacent side is the other side that makes up the reference angle other than the hypotenuse.

Cos(theta) = adjacent side / hypotenuse.    The is the function you use.

Adjacent side = 7

Cos(39) = 7 / x               Multiply both sides by x

x * Cos(39) = 7               Divide by Cos(39)

x = 7 / Cos(39)

x = 9                               Isn't that neat? It is actually 9.0073. but C is the answer.

If both p and 2p+1 are prime, then 2p+1 is a safe prime and p is a Sophie Germain prime.

Sophie Germain was a French mathematician who used these primes to investigate Fermat's Last Theorem, a famous mathematical conjecture that was finally proved in 1994 by Andrew Wiles. A safe prime is a prime number of the form 2p+1, where p is also a prime number, and it is called "safe" because it has some cryptographic properties that make it useful in certain encryption schemes.                                                                                                                                          In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b, and c satisfy the equation an + bn = cn for any integer value of n greater than 2. The cases n = 1 and n = 2 have been known since antiquity to have infinitely many solutions.

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The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.

Therefore, the determinant of the given elementary matrix is 4k.

To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:

\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)

The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.

In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.

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Answer:

The answer is 800

Step-by-step explanation:

Hope this helps :)

The centroid of the region bounded by the curves y = 12x and y = √x is (72,1.88).

To find the centroid of the region bounded by the given curves y = 12x and y = √x, the following steps should be followed.

Step 1: Sketch the region bounded by the two curves to have an idea of what the region looks like.

Step 2: Determine the area of the region bounded by the two curves. The area A can be computed by evaluating the definite integral of the difference between the two functions. \(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx\]\)  We solve for this integral below.\(\[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = 64 - 1728 + \frac{2}{3}\sqrt{6}\] \[\int\limits_{0}^{144} (\sqrt{x}-12x)dx = -1663.30\]\)

Step 3: To find the centroid of the region, we need to determine the x and y coordinates of the centroid. The x-coordinate of the centroid is given by the formula below.

\(\[x = \frac{1}{A}\int\limits_{a}^{b} \frac{1}{2}(y_1^2-y_2^2)dx\]\)

where A is the area of the region, and y1 and y2 are the upper and lower functions, respectively. Substituting values, we obtain

\(\[x = \frac{1}{-1663.30}\int\limits_{0}^{144} \frac{1}{2}((\sqrt{x})^2-(12x)^2)dx\]  \[x = 72\]\)

 The y-coordinate of the centroid is given by the formula below.

\(\[y = \frac{1}{2A}\int\limits_{a}^{b}(y_1+y_2)\sqrt{(y_1-y_2)^2+4dx}\]\)

 Substituting values, we obtain \(\[y = \frac{1}{2(-1663.30)}\int\limits_{0}^{144}(12x+\sqrt{x})\sqrt{(\sqrt{x}-12x)^2+4dx}\]  \[y = 1.88\]\)

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Answer:

45 minutes

Step-by-step explanation:

We Know

Kristiana went to a yoga class at 12:30.

She went to lunch with her friends for 1hr and 35 minutes

She finished lunch at 2:50

How long was her yoga class?

We take

12:30 + 1:35 = 2:05

Then we take

2:50 - 2:05 = 45 minutes

So, her yoga class was 45 minutes.

Answer:

im gonna assume you mean y=2x-6, if so the answer is -2 (multiply 2*2 then subtract 6)

if you really did mean y=2-6, then you would just subtract 6 from 2 and your answer would be -4

There are 13,749,669,792,000 ways to select the applicants. To calculate the number of ways to select applicants who will be hired, we can use the combination formula. The formula for calculating combinations is:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of applicants (90 in this case), and r is the number of applicants to be hired (20 in this case). Plugging in the values, we get:

C(90, 20) = 90! / (20!(90 - 20)!)

Calculating the factorial terms:

90! = 90 × 89 × 88 × ... × 3 × 2 × 1

20! = 20 × 19 × 18 × ... × 3 × 2 × 1

70! = 70 × 69 × 68 × ... × 3 × 2 × 1

Substituting these values into the combination formula:

C(90, 20) = 90! / (20!(90 - 20)!)

= (90 × 89 × 88 × ... × 3 × 2 × 1) / [(20 × 19 × 18 × ... × 3 × 2 × 1) × (70 × 69 × 68 × ... × 3 × 2 × 1)]

Performing the calculations, we find: C(90, 20) = 13,749,669,792,000

Therefore, there are 13,749,669,792,000 ways to select the applicants who will be hired from a pool of 90 applications.

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Answer:

Base: Formed by the skin that stretches from the arm to the thoracic cage; forms the indentation known as the axillary fossa. Anterior wall: Made up of the pectoralis major and minor, forming the anterior axillary fold.

copy and pasted but it helped me

Step-by-step explanation:

have a good day sir/ma'am

Step-by-step explanation:

6×(2.5)+1.5

15+1.5

16.5

or

f(x)= 6x+1.5

f(2.5)= 6(2.5)+15

f(2.5)=16.5

You're welcome please add me as ur friend and brainiest please

Answer:

1) –(3 • 7 • 3 • 5 • g)

2) 7+x+3⋅y

3) 2/9 – x/5

Hope you could get an idea from here.

Doubt clarification - use comment section.

The proportional relationship graph that shows the situation is: Graph C.

A proportional relationship is defined as y = kx, where k is the constant of proportionality between x and y, and k = y/x.

Given the equation, M = 3n,

k = 3.

Thus, the graph that has a constant of proportionality (k) of 3, will correspond to the situation.

In graph C, using a point, (400, 1,200), we have:

k = 1,200/400

k = 3

Therefore, the graph that corresponds to the situation is: C.

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The amount of the apple pie that was left will be 3/4.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

From the information, Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends.

The amount of the apple pie that was left will be:

= 2 1/2 - 1 3/4

= 3/4

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Complete question

Bert found 2 1/2 of an apple pie in the refrigerator. He shared 1 3/4 of the pie with his friends. How much of the apple pie was left?

\(d = \frac{d(10 {}^{k + p} - 10 {}^{k}) }{(10 {}^{k + p} - 10 {}^{k})} \)

where

Step-by-step explanation:

Greetings !

use the above formula to change any decimal into fraction form

Thus, plug in the value and solve

Hope it helps !

Answer:

true

Step-by-step explanation:

The correct answer is true which is a series of reasons that leads to a conclusion that is a valid argument.

An argument is a logical structure in which premises (reasons) are presented to support a conclusion. For an argument to be considered valid, it must meet two criteria: logical consistency and truth preservation.

Logical consistency ensures that the premises do not contradict each other, creating a coherent line of reasoning. Truth preservation ensures that if the premises are true, the conclusion must also be true.

Step by step, a valid argument involves:

Premises: Present clear and relevant reasons or evidence.

Logical Structure: Arrange the premises in a way that leads logically to the conclusion.

Inference: Show that the premises indeed support the conclusion, eliminating fallacies or unsupported assumptions.

Valid Conclusion: The conclusion should logically follow from the premises.

A valid argument doesn't necessarily mean the conclusion is true; it means the structure of reasoning is sound.

Therefore, the correct answer is true which is a series of reasons that leads to a conclusion that is a valid argument.

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Answer:

23

Step-by-step explanation:

To get to 17 degrees, you need to add 6 to -6 to get to 0.

And to get to 17 from 0, you need to add 17.

So then you add 6 and 17 together.

6+17=23

Answer:

  m∠OPQ + (2x+16)° = 180°

Step-by-step explanation:

You need to know a couple of things about quadrilaterals.

An inscribed quadrilateral is one that has its vertices on a circle, as in the given figure.

__

To actually solve the figure (find the measures of the angles), a two-step process is involved. First, you must find the value of x. You do that by making use of the fact that angles O and Q total 180°.

After you know the value of x, you can figure the measure of angle R, and make use of the fact that angles R and P total 180°.

__

Here, you're not asked to solve the figure. Instead, you're asked how you might find angle P. You do that as described in the previous paragraph:

  m∠OPQ + m∠ORQ = 180° . . . . . . . angles R and P total 180°

  m∠OPQ + (2x+16)° = 180° . . . . . . . substitute (2x+16)° for m∠ORQ

This matches the first answer choice.

Answer:

wheres the table

Step-by-step explanation:

I dont see a picture so I cant help u sorry

Answer:

A “Towel”

Step-by-step explanation:

Answer:

10:1:5

Step-by-step explanation:

Given that,

A game was played by Amy, Bill, and Cara.

Let Amy's score be x. Then,

Bill's score would be x/10

Cara's score = x/2

Now,

The ratio of their scores;

x: x/10: x/2

= 1 : 1/10 : 1/2

To equalize the scores, multiply all of them by 10

= (1 * 10): (1/10 * 10) : (1/2 * 10)

= 10 : 1 : 5

Thus, the simplest ratio form would be 10:1:5

Answer:

Step-by-step explanation:

10:1:5

Answer:

False

Step-by-step explanation:

4/8 equals to 1/2 but 6/10 equals to 3/5. Correct would be if it was 5/10

Answer:

y = 91

as the x value increases the y value also increases.

The x and y value will always be 9 numbers apart as it increases.

Step-by-step explanation:

y = x-9, x = 100

y = 100 - 9

y = 91

(100, 91)

Answer:

X = 2

Step-by-step explanation:

-1/2X+4= X+ 1

Add 1/2X to each side

-1/2X+ 1/2 X+4= X+ 1 + 1/2 X

4 = 3/2 X +1

Subtract 1 from each side

4-1 = 3/2 X +1-1

3 = 3/2 X

Multiply each side by 2/3 to isolate x

3 * 2/3 = 3/2 X * 2/3

2 =X

Answer:

Joe earned $700 in interest in 5 years

Step-by-step explanation:

To calculate the interest earned by Joe in 5 years at a rate of 7% per year, we can use the simple interest formula:

Interest = Principal x Rate x Time

Where:

Principal is the initial amount deposited, which is $2,000 in this case

Rate is the interest rate per year, which is 7%

Time is the number of years, which is 5 years in this case

Plugging in the values, we get:

Interest = $2,000 x 0.07 x 5

Interest = $700

Therefore, Joe earned $700 in interest in 5 years.

Answer: 2

Step-by-step explanation:

DE * CE = AE * BE (Two Secants Segment Theorem)

▪︎ DE = 1 + x + 4

▪︎ CE = x + 4

▪︎ AE = 11 + x + 1

▪︎ BE = x + 1

=> (1 + x + 4)(x + 4) = (11 + x + 1)(x + 1)

=> (x + 5)(x+4) = (x + 12)(x + 1)

=> x^2 + 9x + 20 = x^2 + 13x + 12

=> 9x + 20 = 13x + 12

20 - 12 = 13x - 9x

8 = 4x

x = 2

The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C

In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.

In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.

Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.

Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.

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Answer:

3.36 acres

Step-by-step explanation: