who can help in guiding me in any mathematicss question because I'm not good at that at all​

Formula for how high the ball rebounds on the nth bounce is 80 (3/4)ⁿ  ft and the rebound on 5th bounce is 14.24 ft.    

It is given that the ball is dropped from 80 ft and it rebounds (3/4)th of the height it has fallen.

Firstly , using logic ,

The height reached by the ball on its 1st rebound = 80(3/4) = 60 ft

Similarly , calculating on it's 2nd rebound = 60(3/4) = 45 ft

and on 3rd rebound = 45(3/4) ft.

This forms a sequence , known as GP (Geometric Progression).

A Geometric Progression in mathematics, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Hence , here the first term : a = 60 ft

and common ratio is : r = 3/4

the general term for rebound on nth bounce

= 60 * (3/4)ⁿ⁻¹  = 80 (3/4)ⁿ  ft

Using the above expression , the rebound on 5th bounce                             = 60 * (3/4)⁵ = 14.24 ft.

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Answer:

12 sundaes

Step-by-step explanation:

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer: No

Step-by-step explanation: MAD(Mean Absolute Deviation is 5, and if the mean of data set c is 10, 10+5=15 at most and the mean of data set d is 30, 30-5=25 at most and there is no overlap

Answer:

Your answer is no

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2

So if x√2 = 6, x = 3√2

3√2 is approximately 4.2

Hope this helps.

Answer:

Treatment variable = Teaching methods

Confounding variable = Teacher's teaching prowess

Step-by-step explanation:

The treatment variable here is that variable which is applied on the student in other to ovtujba measure of the dependent or response variable, the response variable here is the test score, while the treatment variable is the independent variable, which are the teaching methods.

The confounding variable is that variable which is capable of causing a spurious association in our measurement and also has an effect on the test score. However, this variable isn't taken into account during our experiment. One possible confounding variable could be the Teacher's individual teaching prowess regardless of the teaching method. This could cause the student to get a better grasp of what is being taught by one teacher than the other.

Answer:Treatment variable = Teaching methods

Confounding variable = Teacher's teaching prowess

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the circle:

or

According to the equation, any point with one of the coordinate > 5 lies outside of the circle since the radius is 5 units.

The points 2, 3 and 4 have at least one of the coordinates greater than 5.

Let's verify the point 1:

Answer:

(-3, 4)

Step-by-step explanation:

The answer to this question is the numbers that are included in the Pythagorean numbers are 3, 4, 5. So, the right option is (-3, 4)

x² + y² = 25

-3² + 4² = 25

9 + 16 = 25

25= 25

(RIGHT) ✔

Answer:

$5067,12

Step-by-step explanation:

14,73*43*8

The required money Priscilla will earn in 8 weeks is $5067.12.

As mentioned in the question, Priscilla works 43 hours a week for eight weeks. If she makes $14.73 per hour,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the amount earned be x,
According to the condition,
x = 8 × 43 × 14.73
x =  $5067.12.

Thus, the required money Priscilla will earn in 8 weeks is $5067.12.

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63 mg of anesthetic is present in the patient’s circulatory system.

The operation can last for 20 minutes.

During surgery, a patient’s circulatory system requires at least 50 mg of an anesthetic. The amount of anesthetic present t hours after 70 mg of anesthetic is administered is given by the following,

T(t) = 70 × (0.727) ^t

Time = 1/3 hours

T (1/3) = 70 × (0.727) ^1/3

            = 70 × ∛ 0.727

             = 70 × 0.899176

            = 62.94232

To the nearest mg: 63mg

Now,

63 = 70 × (0.727) ^t

63/70 = (0.727) ^t

0.9 = (0.727) ^t

Log0.9 = log (0.727) ^t

Log0.9 = t × log (0.727)  

T = log0.9 / log0.727

T = 0.330461

T = 0.330461 hours

  = 20 minutes

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Answer:

Hope this helps! let me know

Answer:

y=-x

Step-by-step explanation:

Since the y-axis and x-axis are intersecting lines then you need to apply the locus of intersecting lines which would be the angle bisector and since the problem is asking for the opposite signs you need to make it -x instead of x.

Hope this helps

:)

Answer:

84x¹⁰

Step-by-step explanation:

Simplify the radicals by them by 2:

7x²√2x² × 6√2x⁶

When a sqaure root of an expression is multiplied by itself, the result is that expression:

7x² × 2x² × 6x⁶

Now multiply to get: 84x¹⁰

Hope this helps!

Answer: 47 and 4/10

Step-by-step explanation:convert 47.4 into a fraction by multiplying with 1/10

=474/10

divide 474 by 10 we get the quotient as 47 and remainder as 4

To write an improper fraction as a mixed number, divide the numerator (top part) by the denominator (bottom part). The quotient is the whole number, and the remainder is the numerator.

so we get 47 and 4/10

47.4 as a mixed number is \(47\frac{2}{5}\)

A number system is defined as a system of writing to express numbers.

To rewrite the decimal 47.4 as a mixed number, we need to separate the whole number part and the fractional part.

The whole number part of 47.4 is 47, and the fractional part is 0.4.

To express the fractional part as a mixed number, we can multiply it by 10 to move the decimal point one place to the right.

0.4 x 10 = 4

So, the fractional part of 47.4 can be expressed as 4/10 or 2/5.

Therefore, 47.4 as a mixed number is \(47\frac{2}{5}\)

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The volume of the cardboard box with given dimensions changes at the fastest average rate over the interval of  option c.  [1,5].

Length of the cardboard box = x + 1

Width of the cardboard box = 5  - x

Height of the cardboard box = x - 1

Volume of the box V (x) =  length × width × height

Substitute the values we have,

V(x) = (x+1)(5-x)(x-1)

Expanding this expression gives,

V(x) = -x³ + 5x² + x - 5

To know where Volume is changing at the fastest average rate,

Find the maximum value of the absolute value of the derivative of V(x) over each of the given intervals.

Taking the derivative of V(x), we get,

V'(x) = -3x²+ 10x + 1

Taking the absolute value of this expression, we get,

|V'(x)| = 3x² - 10x - 1

Now, we can calculate the maximum value of |V'(x)| over each interval,

At [1,2]

|V'(1)| = 8

|V'(2)| = 9

[1,3.5]

|V'(1)| = 8

|V'(3.5)| = 0.75

[1,5]

|V'(1)| = 1

|V'(5)| = 24

[0,3.5]

|V'(0)| = 1

|V'(3.5)| = 0.75

The maximum value of |V'(x)| occurs on interval [1,5].

Therefore, the volume of the box is changing at the fastest average rate over the interval option c . [1,5].

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The above question is incomplete, the complete question is:

A cardboard box manufacturing company is building boxes with length represented by x + 1, width by 5 − x, and height by x − 1. the volume of the box is modeled by the function below. over which interval is the volume of the box changing at the fastest average rate?

a. [1,2]

b. [1,3.5]

c. [1,5]

d. [0,3.5]

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

Step-by-step explanation:

There are 4 tens.

There are 48 cards that are not a 10. The probability of drawing 1 of the 48 is

P(~10) = 48/52 which is quite high as you might imagine.

The value of the expression a^2 - 2ac + 5b is, 175.

What is the value of expression?

When the variables and constants in the expression are given values, the calculation that this expression describes yields the value. In an algebraic expression, letters can substitute for numbers.

Consider, the given expression,

a^2 - 2ac + 5b

The values of a, b and c are

a = -8, b = 3, c = 6.

Plug these values in the above expression,

So, the expression becomes

(-8)^2 - 2(-8)(6) + 5(3) = 64 + 96 + 15 = 175

Hence, the value of the expression is, 175.

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The expression 7/12x - y/6x² in its simplest form is (7x - 2y)/(12x²).

We have,

To simplify the expression 7/12x - y/6x², we need to find a common denominator for the two terms.

The common denominator is 12x^2.

Multiplying the first term by x/x and the second term by 2/2, we get:

(7x)/(12x²) - (2y)/(12x²)

Combining the two terms, we get:

(7x - 2y)/(12x²)

Therefore,

7/12x - y/6x² in its simplest form is (7x - 2y)/(12x^2).

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The parts of the graph when labelled are :

There is the origin which is where the line starts from. The x-axis represents the independent variable, which is the variable that is being manipulated or changed in the experiment.

The y-axis represents the dependent variable, which is the variable that is being measured or observed. A trend line is a line drawn on the graph that shows the overall pattern or trend of the data. The x and y - intercepts are the points where the trend line crosses the x and y - axis.

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Answer:

-5 1/3 - 3 1/3

Step-by-step explanation

both expressions equal -8 2/3

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

(4,0) & (9,5)

Step-by-step explanation:

Where the equations cross are the solutions!

Hope this Helps! :)
Happy Studies

The discount percentage offered on the new video game as of a sale is 75%.

For the stated question-

The listed price on the video game = $46.

price paid exclusive of tax = $34.50.

Let 'x' be the percentage discount of the listed price.

Then,

x% of 46 = 34.50

x = 34.50 x 100 / 46

x = 75%

Thus, the discount percentage offered on the new video game as of a sale is 75%.

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Answer:

A. \(h(x)=\sqrt{x-3}\)

Step-by-step explanation:

The parent function of \(\sqrt{x}\) is translated to the left when \(h\) is positive in the transformation \(\sqrt{x+h}\).

If \(h\) is negative, the graph translates towards the left with the distance equal to the value of \(h\).

Here the graph moved 3 units towards the right. This means that \(h\) is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

\(h(x)=\sqrt{x-3}\)

Answer:

like 10 i think

Step-by-step explanation:

the flat line is the time it spends stopped im pretty sure so that would be 10 seconds

Answer:

2\(y^{2}\) -2y

Step-by-step explanation:

Combine the like terms.

-4y + 2y = -2y

-x +x = 0

Answer:

y = -0,1x + 1

Step-by-step explanation:

Check the picture below.

Answer:

0

Step-by-step explanation:

sin²t + cos²t = 1, so since cos²t = 1, sin²t = 0, and thus sint = y = 0.

Answer:

why the hell you got blobs in your bed?

Step-by-step explanation: