For the graph, which are possible functions f, g, and h? Exponential Functions and e 7.1.1

Answer:

-10 is the opposite of 10

Step-by-step explanation:

-10 is the opposite of 10 ,because The sum of a number and its opposite equals to zero.

The particular solution to the nonhomogeneous differential equation is -3x+1+2e⁻ˣ

We are given a non-homogeneous differential equation in the form

=> y′′+4y′+5y=−15x+e⁻ˣy′′+4y′+5y=−15x+e⁻ˣ

The differential equation is called non-homogeneous because it has a non-zero right-hand side.

To solve this differential equation, we first need to find the complementary function, which is the solution to the corresponding homogeneous differential equation y′′+4y′+5y=0.

This homogeneous differential equation has characteristic equation

=> r²+4r+5=0, which has roots r=-2+ i and r=-2- i.

Hence, the complementary function is

=>\(y_{c(x)}=c_1e^{(-2+i)x}+c_2e^{(-2-i)x},\)

where c₁ and c₂ are constants determined by the initial conditions.

We then take the first and second derivatives of y_p(x) and substitute them into the differential equation, y′′+4y′+5y=−15x+e⁻ˣ, and simplify. This leads to the system of equations:

a + 4c = -15

-a + 4b - 5c = 0

a + b + 5c = 1

Solving this system of equations, we find that a=-3, b=1, and c=2. Therefore, the particular solution is y_p(x)=-3x+1+2e⁻ˣ

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Answer:

m < -6

Step-by-step explanation:

6m + 2 < 5m - 4

-5m        -5m

m + 2 < -4

    -2    -2

m < -6

(P.S. when you did -2 - 4 it didn't equal to -2 )

Hope this helps :)

The inequality relation in the set notation is m ∈ (-∞, -6)

Given data:

The inequality is represented as A.

6m + 2 < 5m - 4

To express the solution to the inequality 6m + 2 < 5m - 4 in set notation, determine the values of "m" that satisfy the inequality.

6m + 2 < 5m - 4

First, subtract 5m from both sides of the inequality:

6m - 5m + 2 < 5m - 5m - 4

This simplifies to:

m + 2 < -4

Next, subtract 2 from both sides of the inequality:

m + 2 - 2 < -4 - 2

This simplifies to:

m < -6

The solution to the inequality is that "m" is less than -6.

Expressing this solution in set notation, write it as:

m ∈ (-∞, -6)

Hence, the relation indicates that "m" belongs to the open interval from negative infinity to -6, where the endpoint -6 is not included.

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Step-by-step explanation:

20 π

lateral surface area = π r l

= π× 5 × 4

= 20 π

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful.

Answer:

20

Step-by-step explanation:

The position of the mass in the undamped spring-mass system can be represented by the equation u(t) = (A cos(ωt) + B sin(ωt)) / k. Therefore, position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

In this case, the external force acting on the system is 108 cos(4t) lb. To determine the position of the mass, we need to solve the differential equation that represents the motion of the system.

Using Newton's second law, F = ma, and considering that the mass m = 24 lb, the equation becomes:

24 * d^2u/dt^2 = 108 cos(4t)

Simplifying, we have:

d^2u/dt^2 = 4.5 cos(4t)

This is a second-order linear homogeneous differential equation with a constant coefficient. The solution to this equation will be a linear combination of the homogeneous and particular solutions.

The homogeneous solution, representing the free oscillation of the system, is u_h(t) = C1 cos(2t) + C2 sin(2t).

The particular solution, representing the forced motion caused by the external force, can be assumed in the form u_p(t) = A cos(4t) + B sin(4t).

By substituting u_p(t) into the differential equation, we can determine the values of A and B.

Solving the differential equation for the particular solution, we find:

A = 18 and B = 0

The complete solution for the position of the mass in feet is:

u(t) = (18 cos(4t)) / 4

Simplifying further, we get:

u(t) = 4.5 cos(4t)

Therefore, the position of the mass at any time t in feet is given by u(t) = 4.5 cos(4t).

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Answer:

1 . 6 , 2 is 18 ,6

2.4,5 is 12 ,15

3. 9,4 is 27,12

but is ans is wrong

The correct answer is A. line. A line is a straight path that extends infinitely in both directions. It has no endpoints and continues indefinitely.

A line is a basic geometric object that is defined by two points or can be represented by a single equation. It is characterized by its straightness and infinite length, extending in both directions without any boundaries or endpoints. A line can be represented by a straight line segment with two distinct points or by an equation such as y = mx + b in a coordinate system.

On the other hand, a plane refers to a two-dimensional flat surface that extends infinitely in all directions. It is not a straight path but rather a flat, continuous surface. A ray, is a part of a line that has one endpoint and extends infinitely in one direction. It is not a straight path that continues indefinitely in both directions like a line.

A triangle is a closed geometric shape with three sides and three angles. It is not a straight path but rather a closed figure formed by connecting three non-collinear points.Therefore ,the correct answer is A.

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x - 9 > -15

Add 9 to both sides:
x - 9 + 9 > -15 + 9

x > -6

Option D would be your answer.

Hope this helps!

The correct answer is answer D (x > -6)

I just had this question and I got it right, Hope this helps. :)

The probability to get a 3 or 4 in the third toss and 6 in the fourth toss is 1/18.

The sample space for a six-sided die is

{1, 2, 3, 4, 5, 6}

Hence the total number of possibilities = 6

The rolling of a die is IID that is Independently and Identically distributed.

Hence,

the result of one toss will not affect the result of the successive tosses.

Probability

= n(E)/n

= no of favorable outcomes for any event /total no. of outcomes

Here,

n = 6

Let A be the event of getting a 3 or 4 in the third toss

Let B be the event of getting 6 on the fourth toss

E(A) = {3,4}

n(A) = 2

Hence,

P(A) = 2/6

= 1/3

B = {6}

n(B) = 1

P(B) = 1/6

Since these are IID,

P(A and B) = P(A) X (B) [Property of independent events]

Hence P(A∩B) = 1/3 X 1/6

= 1/18

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Answer: 210

Step-by-step explanation:

The value of 14x15 is 210.

If an art teacher ordered 26 sets for class and there are 100 markers in each set, then the total number of markers is:

26 x 100 = 2600

Therefore, there would be 2600 markers in 26 sets.

Answer:

D

Step-by-step explanation:

Answer:

h = 0.1 142857 w

Step-by-step explanation:

Answer:

hayy

Step-by-step explanation:

Answer:

A.47

Step-by-step explanation:

Step-by-step explanation:

235 / 5 = 47

Hence there are 47 candles in each group (A).

Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.

Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.

Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.

Transparency: Every user on the network may confirm any modifications made to the blockchain technology.

The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.

When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.

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To determine if a math club can afford to rent a van from Vince's Vans, use a number line and an inequality equation. The number line represents the distance of 180 miles, while the inequality equation represents the cost of renting the van.

To determine if the math club can afford to rent the van from Vince's Vans, we can use two representations: a number line and an inequality equation.

1. Number Line Representation:
First, we can create a number line to represent the distance of 180 miles. We'll mark the starting point (school) as 0 and the ending point (science museum) as 180. Then, we can represent the amount of money the club has, $150, as a point on the number line. If the point representing $150 is to the right of or on the point representing 180, it means the club can afford to rent the van.

2. Inequality Equation Representation:
We can also use an inequality equation to represent this situation. Let's say the cost of renting the van is represented by the variable "c". The inequality equation would be "c ≤ 150", indicating that the cost of renting the van should be less than or equal to $150 for the club to afford it. If the rental cost satisfies this condition, the club can afford to rent the van.

By using both the number line and the inequality equation, we can determine if the math club can afford to rent the van from Vince's Vans based on the given information.

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What is Midsegment Theorem ?

The Midsegment Theorem, also known as the Midline Theorem or the Triangle Midsegment Theorem, states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half its length.

Explanation:
Here is the complete flowchart with the missing statements and reasons filled in:

Statement 1: Measure of angle ADE is 68 degrees.

Reason 1: Given.

Statement 2: Measure of angle DAE is 90 degrees.

Reason 2: Definition of right angle.

Statement 3: Measure of angle AED is 22 degrees.

Reason 3: Angle sum of triangle ADE is 180 degrees.

Statement 4: Segment DE joins the midpoints of segment AB and AC.

Reason 4: Given.

Statement 5: Segment DE is parallel to segment BC.

Reason 5: Midsegment theorem.

Statement 6: Angle ECB is congruent to angle AED.

Reason 6: Corresponding angles formed by parallel lines.

Statement 7: Measure of angle ECB is 22 degrees.

Reason 7: Substitution property.

So, statements 3 and 6, and reasons 3 and 6, respectively, can be used to fill in the blank spaces numbered 3 and 6, and statement 5 and reason 5 can be used to fill in the blank spaces numbered 4 and 5. Finally, statement 7 and reason 7 can be used to fill in the blank space numbered 7.

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The probability that it is in a winning position will be 0.8036.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A coin that is 2 cm in diameter is tossed onto a grid of squares each having a side length of 4 cm. A coin is in a winning position if no part of it touches or crosses a grid line, otherwise it is in a losing position.

Then the probability of winning is calculated as,

P = [a² - πd² / 4] / (a²)

P = [4² - 3.14 x 2² / 4] / (4²)

P = (16 - 3.14) / 16

P = 0.8036

The probability that it is in a winning position will be 0.8036.

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The resulting equation is c = -b(a - d).

To multiply both sides of the equation ×(a−d)=×(−bc) by the same expression, we apply the distributive property. This allows us to multiply each term on both sides of the equation by the expression ×.

Starting with the left side of the equation:

×(a−d) simplifies to ×a - ×d.

Next, we move to the right side of the equation:

×(−bc) simplifies to -b×c.

Now, we have the equation ×a - ×d = -b×c.

To find the resulting equation in terms of c, we can divide both sides of the equation by -b. This gives us:

(×a - ×d) / -b = c.

Simplifying further, we have:

c = -b(a - d).

Therefore, the resulting equation is c = -b(a - d).

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Answer:

A, good luck!!!

Step-by-step explanation:

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. The radius is half the diameter, so for a circle with a diameter of 90 feet, the radius would be 45 feet.

Substituting this value into the formula for the area of a circle gives A = π * 45^2 = 2025π ≈ 6361.725 square feet.

Of the two options given, A: 3,627.5 ft2 is closest to the calculated area of the circular base of the sundial.

Answer:

Richard = 23

Teo= 5

Step-by-step explanation:

R + T = 28

R = 2T + 13

(2T+13)+T = 28

3T + 13 = 28

3T = 28 - 13

3T = 15

T = 15/3

T = 5

(Checking your answer)

R + 5 = 28

R = 28 - 5

R = 23

R = 2(5) + 13 = 10 + 13 = 23

Found this on another brainly question

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= $7,900

Unitary cost per sandwich= $1.7

Selling price per unit= $7.75

To calculate the break-even point in units and dollars, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 7,900 / (7.75 - 1.7)

Break-even point in units= 1,306 sandwiches

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 7,900 / (6.05 / 7.75)

Break-even point (dollars)= $10,120

Answer:

850 bagels in 10 hours.

Step-by-step explanation:

340 divided by 4 is 85. 85 times 10 is 850. So, 850 bagels.

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

algebra is basically where you have math, and you have to find an unknown number that is represented by a letter

Step-by-step explanation:

The conclusion about the proportion p, based on the given poll result of 43% with a margin of error of 1.6%, is that p is most likely to be between 41.4% and 44.6%.

To describe the conclusion about the proportion p using an absolute value inequality, we can express it as:

|p - 0.43| ≤ 0.016

This inequality represents that the difference between the true proportion p and the observed proportion 0.43 is less than or equal to 0.016, which is the margin of error.

Expanding the inequality, we can rewrite it as:

-0.016 ≤ p - 0.43 ≤ 0.016

To find the range for p, we can add 0.43 to all parts of the inequality:

0.43 - 0.016 ≤ p ≤ 0.43 + 0.016

Simplifying further, we have:

0.414 ≤ p ≤ 0.446

Therefore, the conclusion about the proportion p, based on the given poll result of 43% with a margin of error of 1.6%, is that p is most likely to be between 41.4% and 44.6%.

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The diagram that shows the pre-image? On a coordinate plane, a trapezoid has points is A (negative 1, negative 2),

A trapezoid is a quadrilateral that has at least one pair of parallel sides.

Here, the image of trapezoid ABCD has coordinates A′(–2, –5), B′(–1, –2), C′(2, –2), and D′(3, –5) and was translated by the rule T–1, –3(x, y).

The diagram that shows the pre-image is that on a coordinate plane, a trapezoid has points A (negative 1, negative 2).

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The steps that you should take to approximate the total amount that Gwinnett County must pay teachers for the whole year are:

The approximate amount that is paid to teachers in will be based on the average wages that is paid to teachers in Gwinnett County. You can find this out by conducting an anonymous survey of different levels of teacher salaries in Gwinnett County or you can find it from the relevant Gwinnett County government department.

Then, look for records to show the number of teachers in Gwinnett County.

Multiply these two figures and you will then get the approximate the total amount that Gwinnett County needs to pay its teachers.

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Answer:

Step-by-step explanation:

The 5 is a constant.

The other 2 are products of numbers and variables. The -5 is a term. Even thought it is a constant, it will combine with neither one of the two terms in the trinomial.

4xy^2: This is a combination of a number (4) and 2 variables (x and y). The x and y are different. One of them (y) is squared but that does not change anything. It is still 1 variable. The x is another variable. So together, you have a produce of a number 4 - and 2 variables (x and y). Because this given question is a sum, 4xy^2 could also be classified as a term.

3x is also made up of a product of a number (3) and a variable (x). It is classified as a term, since it cannot combine with either of the other 2 terms.

The statement that is completely correct is option  The minimum value of f(x) is greater than the maximum value of g(x).

From the question given, the quadratic function is f(x) = 2(x - 2)² + 8

Note therefore that:

Based on the graph given (see image attached) we are able to see the vertex of g(x) is (2, 3), the maximum of g(x) is said to be 3.

So one can say that the {8  > 3} hence the  minimum value of f(x) is greater than the maximum value of g(x).

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See text below

Compare the quadratic function f(x)=2(x-2)2+8 with the following graph of g(x).

Which statement is completely correct?

The minimum value of f(x) is equal to the maximum value of g(x).

The minimum value of f(x) is less than the maximum value of g(x).

The minimum value of f(2) is less than the minimum value of g(x).

The minimum value of f(x) is greater than the maximum value of g(x).

Answer: x=3 ; y=13

Step-by-step explanation:

1. isolate y from equation to substitute into the second equation

y= 16-x ---> (16-x) = 3x+4

2. move to one side and solve for x

4x=12 --> x=3

3. plug in x value to solve for y

3+y=16 or 3(3)+4

y=13