Create an eqaution in slope- intercept form with a slope of 3 and y- intercept of -25

The values of the probabilities are 4/7, 2/7 and 5/7

p(the trip will take 25 minutes)

From the question, we have the following parameters that can be used in our computation:

25 minutes = 8

Total = 14

So, we have

P(25 minutes) = 8/14 = 4/7

p(the trip will take 20 minutes)

From the question, we have the following parameters that can be used in our computation:

20 minutes = 4

Total = 14

So, we have

P(20 minutes) = 4/14 = 2/7

p(the trip will take atleast 25 minutes)

From the question, we have the following parameters that can be used in our computation:

At least 25 minutes = 8 + 2 = 10

Total = 14

So, we have

P(At least 25 minutes) = 10/14 = 5/7

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The solution to the system of differential equations is x(t) = -\(3e^{(31t)\) and z(t) = -\(3e^{(31t\)).

To solve the given system of differential equations, we'll begin by finding the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is A = [[-22, 54], [-9, 23]]. To find the eigenvalues λ, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix.

det(A - λI) = [[-22 - λ, 54], [-9, 23 - λ]]

=> (-22 - λ)(23 - λ) - (54)(-9) = 0

=> λ^2 - λ(23 + 22) + (22)(23) - (54)(-9) = 0

=> λ^2 - 45λ + 162 = 0

Solving this quadratic equation, we find the eigenvalues:

λ = (-(-45) ± √((-45)^2 - 4(1)(162))) / (2(1))

λ = (45 ± √(2025 - 648)) / 2

λ = (45 ± √1377) / 2

The eigenvalues are λ₁ = (45 + √1377) / 2 and λ₂ = (45 - √1377) / 2.

Next, we'll find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0, where v is the eigenvector.

For λ₁ = (45 + √1377) / 2:

(A - λ₁I)v₁ = 0

=> [[-22 - (45 + √1377) / 2, 54], [-9, 23 - (45 + √1377) / 2]]v₁ = 0

Solving this system of equations, we find the eigenvector v₁.

Similarly, for λ₂ = (45 - √1377) / 2, we solve (A - λ₂I)v₂ = 0 to find the eigenvector v₂.

The general solution of the system is x(t) = c₁e(λ₁t)v₁ + c₂e(λ₂t)v₂, where c₁ and c₂ are constants.

Using the initial condition x(0) = -3, we can substitute t = 0 into the general solution and solve for the constants c₁ and c₂.

Finally, substituting the values of c₁ and c₂ into the general solution, we obtain the particular solution for x(t).

Since z(t) = x(t), the solution for z(t) is the same as x(t).

Therefore, the solution to the system of differential equations is x(t) = \(-3e^{(31t)\) and z(t) = -\(3e^{(31t)\).

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Answer:

5

Step-by-step explanation:

The mode is the most commonly occurring number in a set of numbers. In this one it is 5.

Answer:

Happened in 1986

Maybe 37 years ago?

Answer:

f(x)=x-4

Step-by-step explanation:

For these types of questions just find a way to turn x into y consistently so that every point works.

Answer:

y=x-4

Step-by-step explanation:

The original number of dogs at the shelter was 15. After two dogs passed away and 9 children adopted one each, there were 5 dogs left. The algebraic expression for this would be 15 - 2 - 9 = 5.

The original number of dogs at the shelter was 15. Two of them unfortunately passed away due to illness, leaving 13 dogs at the shelter. Nine children then each adopted one dog, leaving 4 dogs at the shelter. This can be expressed as an algebraic expression: 15 - 2 - 9 = 5. In other words, the original number of dogs (15) minus the two that passed away (2) minus the nine that were adopted (9) equals the number of dogs left (5). This equation is a way to represent the situation mathematically, and it is useful for quickly determining the number of dogs left in the shelter. Algebraic expressions can be used to represent a variety of situations, and they are a great tool for quickly solving problems.

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The answer of  the given question based on the finding the area of the triangle of ABC the answer is the area of triangle ABC is approximately 62.82 square cm.

A triangle is  three-sided polygon with three angles. It is  two-dimensional geometric shape, and one of  basic shapes in geometry. A triangle can be classified based on  length of its sides and  measure of its angles. The sum of the interior angles of  triangle are 180 degrees. Triangles are used in many fields, like mathematics, engineering, architecture, and art.

To find the area of triangle ABC, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

where the base is one side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.

In this case, we know that AB = 11 cm and AC = 17 cm, and angle A is 45 degrees. To find the height of the triangle, we need to use trigonometry.

First, we can find the length of BC using the Law of Cosines:

BC² = AB² + AC² - 2 * AB * AC * cos(A)

BC² = 11² + 17² - 2 * 11 * 17 * cos(45)

BC² = 156 - 265.42

BC² = 109.42

BC = 10.46 cm (rounded to two decimal places)

Now we can use the sine function to find the height of the triangle:

sin(A) = height / BC

height = BC * sin(A)

height = 10.46 * sin(45)

height = 7.39 cm (rounded to two decimal places)

Finally, we can use the area formula to find the area of the triangle:

Area = (1/2) * base * height

Area = (1/2) * 17 * 7.39

Area = 62.82 square cm (rounded to two decimal places)

Therefore, the area of triangle ABC is approximately 62.82 square cm.

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Answer:

B

Step-by-step explanation:

you can write 3.33 as 10/3

Answer:

v=8

Step-by-step explanation:

a. Let's compute the integral ∫(x−3+5x5/2+3)dx with respect to x. The indefinite integral of x with respect to x is x²/2, the indefinite integral of -3 with respect to x is -3x and the indefinite integral of 5x^(5/2)+3 with respect to x is (10/7)x^(7/2)+3x+ C, where C is the constant of integration.

The m∫(x−3+5x5/2+3)dx=x^2/2-3x+(10/7)x^(7/2)+3x+C=1/2x^2+(10/7)x^(7/2)-x+CEvaluate the constant of integration, C, by calculating the value of the definite integral between the limits of integration. b. Let's find the indefinite integral of -ex + x^(1/3) with respect to x. The indefinite integral of -ex with respect to x is -ex, and the indefinite integral of x^(1/3) with respect to x is (3/4)x^(4/3).The main answer is as follows:∫(-ex+x^(1/3))dx=-ex+(3/4)x^(4/3)+ CCalculate the constant of integration, C, by computing the definite integral between the limits of integration. c. To determine the indefinite integral of x^2/5-x with respect to x, we will first split the given integral into two parts, as follows:∫(x^2/5)dx - ∫x dx. The indefinite integral of x²/5 with respect to x is (1/15)x^3, and the indefinite integral of x with respect to x is (1/2)x².The main answer is as follows:∫(x^2/5−x)dx=(1/15)x^3-(1/2)x^2 + CCompute the value of the constant of integration by finding the definite integral between the limits of integration. d. ∫01​(ex−x)dx = (e - (1/2)). ∫01​(ex−x)dx=ex/1-x^2/2= ex-e/2 e. ∫-32​(2x−1)dx = -(11/4)The main answer is as follows:∫-32​(2x−1)dx= x^2-x|_[x=-3,x=2]=(-2)^2-(-2)-(-3)^2-(-3)=11. The definite integral of the given function is -11/4.

In this question, we determined the indefinite integral and the definite integral of five different functions. The integration of a function is a method of calculating the area under its curve. The definite integral of a function is a number that represents the total area under its curve between two specified points. On the other hand, the indefinite integral of a function is a family of functions that differ only by a constant value.

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A. The indefinite integral of the function is (1/2)x² - 3x + (10/7)x⁷/² + 3x + C

B. The indefinite integral of the function is -ex + (1/14)x¹⁴ + C

C. The indefinite integral of the  function is (1/3)x³ - 5x - (1/2)x² + C

D. The definite integral of the function from 0 to 1 is e/2 - 1.

E. The definite integral of the function from -3 to 2 is -10.

a. ∫(x−3+5x⁵/²+3)dx:

To find the indefinite integral, integrate each term separately:

∫(x − 3 + 5x⁵/² + 3)dx = ∫xdx - ∫3dx + ∫5x⁵/²)dx + ∫3dx

Integrating each term:

(1/2)x² - 3x + (10/7)x⁷/² + 3x + C

Therefore, the indefinite integral of the given function is:

∫(x−3+5x⁵/²+3)dx = (1/2)x² - 3x + (10/7)x⁷/² + 3x + C, where C is the constant of integration.

b. ∫(−ex + x¹³)dx:

To find the indefinite integral, we integrate each term separately:

∫(−ex + x¹³)dx = -∫exdx + ∫x¹³dx

Integrating each term:

= -ex + (1/14)x¹⁴ + C

Therefore, the indefinite integral of the function is:∫(−ex+x¹³)dx = -ex + (1/14)x¹⁴ + C

c. ∫(x² - 5 − x)dx:

To find the indefinite integral, integrate each term separately:

∫(x²−5−x)dx = ∫x²dx - ∫5dx - ∫xdx

Integrating each term:

(1/3)x³ - 5x - (1/2)x² + C

Therefore, the indefinite integral of the given function is:∫(x²−5−x)dx = (1/3)x³ - 5x - (1/2)x² + C

d. ∫[0,1](ex − x)dx:

To find the definite integral, we integrate the function from 0 to 1:

∫[0,1](ex − x)dx = [ex²/² - (1/2)x²] evaluated from 0 to 1

Plugging in the upper and lower limits:

[e/2 - (1/2)] - [e⁰/² - (1/2)(0)²]

Simplifying:

(e/2 - ¹/₂) - (¹/₂)= e/2 - 1

Therefore, the definite integral of the given function from 0 to 1 is:

∫[0,1](ex − x)dx = e/2 - 1.

e. ∫[-3,2](2x−1)dx:

To find the definite integral, we integrate the function from -3 to 2:

∫[-3,2](2x−1)dx = [x² - x] evaluated from -3 to 2

Plugging in the upper and lower limits

(2² - 2) - ((-3)² - (-3))

Simplifying:

(4 - 2) - (9 + 3)

2 - 12

-10

Therefore, the definite integral of the given function from -3 to 2 is:∫[-3,2](2x−1)dx = -10.

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Answer:

Could you put a picture it could be very easier to solve for you

If a group of 29 friends gets together to play a sport, first people must be divided into teams each team has to have exactly 4 players and no one can be in more than one team, then the number of teams they could make is 7

The total number of people = 29

Number of people in each group = 4

No one can be more than one team

To find the number of group that they could make, we have to do the division

The number of groups = The total number of people / Number of people in each group

= 7.25

≈ 7 groups

Hence, if a group of 29 friends gets together to play a sport, first people must be divided into teams each team has to have exactly 4 players and no one can be in more than one team, then the number of teams they could make is 7

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Answer:

1)(45x 1.2) /2

2) $27 each

Step-by-step explanation:

Hi, to answer this question we have to multiply the initial bill amount by the gratuity percentage in decimal form (divided by 100)

45 x (20/100) = 45 x 0.2= $9

Now, we have to add the tip amount (9) to the initial bill amount  

45+9= $54 (total bill amount with tip)

(We could obtain the same result if we multiply the initial bill amount by 1.2)

Finally, we have to divide the final bill amount by 2:

54/2 = $27 each

1) (45x 1.2) /2

2) $27 each

Feel free to ask for more if needed or if you did not understand something.

the percentage of information remembered at the moment it is first learned is 100%.

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable (that is, they had a high degree of regularity). The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept.

Your question is incomplete but most probably your full question was:

In college, we study large volumes of information - information that, unfortunately, we do not often retain for very long. The function f(x) = 80e-0.5x + 20

describes the percentage of Q. information, p, that a particular person remembers x weeks after learning the information. Substitute 0 for x and find the percentage of information remembered at the moment it is first learned.

a 100%

b 95%

c 90%

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The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

Step-by-step explanation:

Sara is faster she got a longer distance to Jorge

Answer:i think its 115 degres

Step-by-step explanation:

The translation rule (x + 7, y - 19) has the meaning given as follows:

The four translation rules are defined as follows:

The meaning of each translation in this problem is given as follows:

The problem asks for the meaning of the translation (x + 7, y - 19).

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Answer:

Step-by-step explanation:

Answer:

0.1

that is 10 hundredths in standard form

Answer:

0.27027027027

Step-by-step explanation:

that is 6 divided by 22.2

Start by setting it up with the divisor 6 on the left side and the dividend 222, The divisor (6) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top, Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

Answer:

350

Step-by-step explanation:

It is 350 because 10 ones is 10, 4 tens is 40, and 3 hundreds is 300 if you add them up you get 350.

The required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given information as

10 ones

4 tens

3 hundred

As per the given question,

Translate the information into an algebraic expression:

It's 350 since 10 ones are 10, 4 tens are 40, and 3 hundred is 300 when added together.

⇒ 1 × 10 + 4 × 10 + 3 × 100

⇒ 10 + 40 + 300

⇒ 350

Therefore, the required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

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Answer:

n does not have a defined value, but it has only one value, it is only possible to determined it in an equality let's say that 5n+21=26 there n =1

but we don't know the value

so it stays as 5n+21

Answer:

II

Step-by-step explanation:

The base angles of an isosceles trapezoid are congruent.

Also, if you could label this brainliest that would be a great help!

Thanks xx 

-Dante

Answer:

-1.00000425998

Step-by-step explanation:

Answer:

i am so srry but i dont know but good luck

Step-by-step explanation:

The floor function of a number is taken out to get the greatest integer that is less than or equal to the number.

To get the floor of any number assume the y-axis of the graph and on that axis plot the number, when you plot the number, the integer just below that point is known as the floor for that number.

function,  \(f(x)=\lfloor{x}\rfloor\)

a.)  for f(2),

\(f(x)=\lfloor{x}\rfloor\\f(2)=\lfloor{2}\rfloor\)

for a whole number, the number itself is the floor of the number. thus, the function will return the value as 2.

b.)  for f(6.8),

\(f(x)=\lfloor{x}\rfloor\\f(6.8)=\lfloor{6.8}\rfloor\\f(6.8)=6\)

for the number 6.8, the ceiling will be 6 as 6 is the greatest integer that is less than 6.8.

c.)  for f(-3.3),

\(f(x)=\lfloor{x}\rfloor\\f(-3.3)=\lfloor{-3.3}\rfloor\\f(-3.3)=-4\)

for the number -3.3, the ceiling will be -4 as -4 is the integer that will be on the floor when seen on the negative number line.

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the slope is m equals 2/5.

the y intercept is (0,-4), the x intercept is (10,0).

the equation is linear.

the equation I believe is y= 2/5x - 4

Answer:

forgive me i need points

Step-by-step explanation: