Below is the graph of a trigonometric function. It has a minimum point at (-5.4, 1.25) and a maximumpoint at (7.4, 6.75). What is the amplitude

Answer:

Step-by-step explanation:

Q5) 4/9 is 0.4 recurring not just “0.4”

Q6) 6 and 7

Q7) 5.385

Answer:

Step-by-step explanation:

6x and 5x are alike since the degree of x in each term is 1

4h and -11h are alike since the degree of variable h is 1 in both terms

The probability density function for U is: f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

The joint distribution for the length of life of two different types of components operating in a system is given by f(y_1, y_2) = {(1/8)y_1 e^-(y_1 + y_2)/2, y_1 > 0, y_2 > 0, 0, elsewhere. We are asked to find the probability density function for U = Y_2/Y_1.

To find the probability density function for U, we first need to find the joint distribution of U and Y_1. We can do this by using the change of variables formula:

f_U,Y_1(u, y_1) = f_Y_1,Y_2(y_1, uy_1) * |J|

where J is the Jacobian determinant of the transformation.

The Jacobian determinant is given by:

J = |∂(y_1, uy_1)/∂(u, y_1)| = |y_1|

So, the joint distribution of U and Y_1 is:

f_U,Y_1(u, y_1) = (1/8)y_1 e^-(y_1 + uy_1)/2 * |y_1| = (1/8)y_1^2 e^-(1+u)y_1/2

Next, we need to find the marginal distribution of U by integrating out Y_1:

f_U(u) = ∫f_U,Y_1(u, y_1) dy_1 = (1/8)∫y_1^2 e^-(1+u)y_1/2 dy_1

This integral can be solved using integration by parts. The final result is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2

So, the probability density function for U is:

f_U(u) = (4/(1+u)^3) * e^-(1+u)/2, u > 0

This is the final answer.

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Answer:

The answer is supplementary angles.

Step-by-step explanation:

Identify the angle pair as complementary or supplementary.

If one angle is 60 degrees and the other angle is 120 degrees.

First, add the two angles together to find the sum.

60 + 120 = 180

Then, identify which angle pair adds up to 180 degrees.

Supplementary angles

May I please have brainliest

The number of calories in each serving is 125.14 calories.

The bad of popcorn has 438 calories. Also, it was stated that it can serve 3.5 people.

The number of calories for each serving will be the division of the calories given.

This will be:

Number of calories = Total calories / Number of people

= 438 / 3.5

= 125.14 calories

Each serving has 125.14 calories.

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answer

for the median its 7

for the mean its 6.

the mode is 9

Step-by-step explanation:

The mode is the value that appears most frequently in a data set.

Median:The number in the MIDDLE when they are IN ORDER!

Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

Given that the rate of interest = r = 5%, time = t = 3 years,

and amount to be made = A = $3000.

And we need to find the principal amount (P).

Then, the formula is

Substituting the values we have

Hence, the money to be invested will be $2591.51

Answer:

Option 3

Step-by-step explanation:

Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.

x+5=2x-5

2x-x=5+5

x=10

135 in Mayan notation is represented by one dot over four bars, followed by one dot over three bars, and then one dot over five dots.

To convert 135 to Mayan notation, we repeatedly divide by 20 and use the remainders to determine the number of dots and bars in each position. First, we divide 135 by 20 to get a quotient of 6 with a remainder of 15. The remainder of 15 corresponds to 1 dot over 5 dots and 2 bars (10 + 5).

Next, we divide 6 by 20 to get a quotient of 0 with a remainder of 6. The remainder of 6 corresponds to 1 dot over 3 bars (15). Finally, we have a quotient of 0 with a remainder of 6, which corresponds to 1 dot over 4 bars (20).

Putting these together, we get the Mayan representation of 135 as one dot over four bars, followed by one dot over three bars, and then one dot over five dots.

Complete question:

Convert the following numbers to Mayan notation. Show your calculations used to get your answers. 135?

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Answer: b

Because I learned this beforeStep-by-step explanation:

Answer:

Transitive

If x = 2y and 2y = 8, then x = 4.

Answer:

-1020

Step-by-step explanation:

-17 x - 5 x - 12 =

- 17 x 60 =

- 1020

Answer:

number 1 is true

Step-by-step explanation:

Answer:

See convergence analysis below

Step-by-step explanation:

For the expansion of 1/(1-t) in powers of t, we can recall that an infinite  Geometric series with first term "1" and common ratio "t", in the case that the absolute value of "t" is smaller than 1, can be represented by:

\(\Sigma\limits^\infty_0\, t^n=\frac{1}{1-t} \\\)

The condition for such, is that the absolute value of "t" is smaller than "1", which gives us the radius of convergence for this series "1" and the interval of convergence:  - 1 < t < 1

Recall as well that using the geometric sequence  \(1 + t + t^2 + t^3 +...\)

The ratio test becomes \(\frac{a_{n+1}}{a_n} = t\)

which is the SAME as the common ratio for the geometric sequence, and which in order to converge to the value \(\frac{1}{1-t}\)   requires that the absolute valu of the common ration be smaller than "1" rendering the same radius of convergence as discussed above.

Answer:

2.5 days

Step-by-step explanation:

To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.

Given:

15 people working 5 hours per day can make 30 units of the product in 10 days.

From this information, we can calculate the work rate of these 15 people:

Work rate = Total units of the product / (Number of people × Number of hours × Number of days)

Work rate = 30 units / (15 people × 5 hours × 10 days)

Work rate = 0.04 units per person per hour

Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.

Using the work rate formula:

Number of days = Total units of the product / (Number of people × Number of hours × Work rate)

Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)

Number of days = 2.5 days

Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.

The correct answer is:

2.5 days

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

Answer:

\(\huge\boxed{\sf \angle C = 52\°}\)

Step-by-step explanation:

The given figure is a parallelogram because:

So,

128° + ∠C = 180°

∠C = 180° - 128°

\(\rule[225]{225}{2}\)

Answer:

47 degree

Step-by-step explanation:

23x - 5 + 37x +5 = 360

x = 6

The measure of the arc = 5x + 17 = 5 *6 +17 = 47 degree

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

N1(T) = 10T² + 45T + 400

N2(T) = 5T² – 25T + 250

Step 02:

functions:

N(T) = N1(T) + N2(T)

N(T) = (10T² + 45T + 400) + (5T² – 25T + 250) = 15T² + 20T + 650

The answer is:

N(T) = 15T² + 20T + 650

Answer:A

Step-by-step explanation:

The best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

Statistics is the study of the discipline that concerns the organization, collection, analysis, and presentation of data.

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers.

For both measures, smaller values indicate higher quality.

Variable DF Estimate SE T

Intercept 1 −5.0 0.26 −19.3

WHIP 1 6.8 0.14 47.4

ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.

Thus, the best interpretation of the value of 6.8 is shown in the output, ERA is predicted to increase by 6.8 units.

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Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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We need the time in seconds when the egg reaches ground

So

\(\\ \tt\bull\rightarrowtail y=0\)

\(\\ \tt\bull\rightarrowtail -2x+80=0\)

\(\\ \tt\bull\rightarrowtail -2x=-80\)

\(\\ \tt\bull\rightarrowtail x=40s\)

Answer:

1 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

1 5/6 = 11/6

20/6 - 11/6 = 9/6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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