The altitude of an airplane is decreasing at a rate of 42
feet per minute. What is the change in altitude of the airplane over a period of 20
minutes?

The recurrence relation that describes a function with the same asymptotic growth as f(n), defined by the recurrence relation, is f(n) = f(n-1) + g(n), where g(n) is any function that grows slower than or at the same rate as f(n).

In this recurrence relation, f(n) represents the function being described, f(n-1) represents the previous term in the sequence, and g(n) represents the additional term being added at each step.

By choosing a g(n) that grows slower than or at the same rate as f(n), we ensure that the additional term does not significantly affect the overall growth of the function.

This results in both f(n) and the given recurrence relation having the same asymptotic growth.

It is important to note that the exact form of g(n) is not specified in the question, so there are multiple possible answers that would satisfy the condition of having the same asymptotic growth.

To know more about function visit;

brainly.com/question/30721594

#SPJ11

Answer:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

Step-by-step explanation:

1 A

2 B

3 D

4 B

5 A

6 D

7 C

8 B

9 C

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

To learn more about time period link is here

brainly.com/question/13788009?

#SPJ4

The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

Answer:

They will need 432 eggs

Step-by-step explanation:

Answer:

432

Step-by-step explanation:

36 * 12 = 432

space filler

To minimize the amount of tin used, the height of the can must be 4 inches (option D).

The volume of a cylindrical tin can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To minimize the amount of tin used, we need to minimize the surface area, which is given by the formula A = 2πrh + 2πr².

Given the volume is 16π cubic inches, we have:

16π = πr²h

Now, we can find the relationship between r and h:

h = 16/r²

Now, substitute this into the surface area formula:

A = 2πr(16/r²) + 2πr²
A = 32π/r + 2πr²

To minimize the surface area, we can take the derivative with respect to r and set it to 0:

dA/dr = -32π/r² + 4πr

0 = -32π/r² + 4πr

Solving for r:

r³ = 8
r = 2 (since r > 0)

Now, substituting r back into the relationship between r and h:

h = 16/(2²)
h = 16/4
h = 4

Therefore, the height of the can must be 4 inches (option D) to minimize the amount of tin used.

Learn more about minimizing surface area here: https://brainly.com/question/29897121

#SPJ11

The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) - 3x.

To find the particular antiderivative that satisfies the given conditions, we will integrate the given function with respect to x and then use the initial condition to determine the constant of integration.

The given function is: (4x + 5) / (3√x).

First, we split the function into two parts:

(4x) / (3√x) + (5) / (3√x).

Now, we integrate each part separately:

∫ (4x) / (3√x) dx = 2x^(3/2) + C1, where C1 is the constant of integration for the first part.

∫ (5) / (3√x) dx = 5x^(1/2) + C2, where C2 is the constant of integration for the second part.

Combining the two parts, we have:

y(x) = 2x^(3/2) + 5x^(1/2) + C, where C = C1 + C2.

Next, we use the initial condition y(1) = 8 to determine the value of C:

y(1) = 2(1)^(3/2) + 5(1)^(1/2) + C = 2 + 5 + C = 7 + C = 8.

Solving for C, we have: C = 8 - 7 = 1.

Therefore, the particular antiderivative that satisfies the given conditions is:

y(x) = 2x^(3/2) + 5x^(1/2) + 1.

The particular antiderivative that satisfies the given conditions is y(x) = 2x^(3/2) + 5x^(1/2) + 1. This antiderivative is obtained by integrating the given function and including the constant of integration determined by the initial condition y(1) = 8.

to know more about the antiderivative visit:

https://brainly.com/question/21627352

#SPJ11

Answer:

5 + 9y

Step-by-step explanation:

When it says plus, it means +. When it says the product of 9 and y, it means 9 × y or 9y.

The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.

The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:

Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)

Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)

In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:

Px = (1 * 8 + 3 * 6) / (1 + 3) = 7

Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1

Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).

To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.

By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).

For more such questions segment,click on

https://brainly.com/question/28322552

#SPJ8

Answer:

The answer is 14/50

Step-by-step explanation:

sin=opp/hyp

sin=14/50

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.

To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:

β + α = 180º

The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°

Therefore, the measure of the supplementary angle is 4.5°.

See more about supplementary angle at https://brainly.com/question/12919120.

#SPJ11

Answer:

I think the awnser is probably b

Answer:

m=3.5h

Step-by-step explanation:

Just by looking at this, you know that it won't be either of the adding equations because it only works for the bottom input and output. So, we'll just look at the multiplying ones.

We know that multiplying should get us a bigger number (unless it's a fraction), so the equation h=3.5m won't work very well with this because h would be getting smaller not bigger.

That leaves us with m=3.5h.

To check this, I'll multiply 3.5 by 4 to see if it equals what m is on the table. Sure enough, it's 14. This also works with 2.5 and 8.75.

Answer:

Solution given:

Cos X=Adjacent/hypotenuse

Cos X=6.5/8.4

x=Cos-¹(6.5/8.4)

x=39.3°

Answer:

The probability that between 2,500 and 4,200 acres will be burned in any given year is 0.4345.

The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

To know more about formula visit:

https://brainly.com/question/15183694

#SPJ11

EXPLANATION

If f(x) = 4x + 34, the values of x such that f(x) = 0 can be obtained by equaling the function to zero as shown as follows:

4x + 34 = 0

Subtracting -34 to both sides:

4x = -34

Dividing both sides by 4:

x = -34/4

Simplifying:

x = -8.5

Hence, the value is x=-8.5

Answer:

Step-by-step explanation:

183.5

Answer:

the answer is 183.5

Step-by-step explanation:

in case of box start being tilt,

box should be half out the table,

The Center of Mass of an object or system of objects is a location that is specified in relation to those objects. The Center of Mass of a system is the location where all of its components are on average when they are all weighted in accordance with their masses. The centroid is where basic stiff objects with homogenous density have their centers of mass. Sometimes an object's Center of Mass might not be directly over it. The Center of Mass would be on the Center in the event of a uniform disc, but there would be no material in the case of a ring where the Center of Mass would be on the Center.

The Centre of Mass for intrinsic shapes can be defined as the position where the sum of all of its weighted position vectors of all the parts equals zero.

In this we can use the Center of Mass concept,

As it will leave table when normal is not acting from the table at the center of mass.

So, as in case of box measuring ( x, y, z ) the center of mass from any point of the box is \(\sqrt{x^{2} +y^{2}+ z^{2} }\)

So in case of box start being tilt,

box should be half out the table,

So that COM must be just outside the table

To learn more about Position vector , visit,

https://brainly.com/question/1563531

#SPJ1

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

Learn more about mean absolute here :brainly.com/question/29545538

#SPJ4

shhehshehehehhehehehhehehhhhhehehehehhehehehhehehehehh|heh help

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

For more such questions on supremum visit;

https://brainly.com/question/33059731

#SPJ8

Answer:

y = \(\frac{3x}{2}\) - 4

Step-by-step explanation:

first multiply by 3 on both sides

then subtract 4 on both sides

finally you have to divide by 2 on both sides to get

y = \(\frac{3x}{2}\) - 4

Answer:

The correct answer is: 2. t=0.45a

Step-by-step explanation:

Let t be the price of apples

and a be the number of apples

The price and quantity are directly proportional

\(t \propto a\)

Removing the proportionality symbol introduces a proportionality constant in the equation

\(t = ka\)

So far we know that cost of 6 apples is $2.70

Putting in the equation

\(2.70 = k (6)\\k = \frac{2.70}{6}\\k = 0.45\)

Putting the values of k will give us:

\(t = 0.45a\)

Hence,

The correct answer is: 2. t=0.45a

Answer:

you bought 5 T-shirts

Step-by-step explanation:

In the afternoon, Winston traveled a distance of 159 kilometers.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

On Monday, Winston covered a distance of 248 miles. In the morning, he covered 70 fewer miles than in the afternoon.

Let "x" be the number of miles Winston drove in the afternoon.

In the morning, Winston drove x - 70 miles.

In total, Winston drove 248 miles on Monday.

So, x + (x - 70) = 248

2x - 70 = 248

2x = 318

x = 318/2

Apply the division operation, and we get

x = 159

Thus, Winston drove 159 miles in the afternoon.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ1

Answer: Diego's playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Based on the number of songs Diego has and the proportion of the genres, Diego's song classification is:

The number of songs from a particular genre is:

\(= \text{Total number of songs}\times\text{Percentage of genre}\)

Rock:

\(= 40\% \times 90\)

\(\bold{= 36 \ songs}\)

Country:

\(= 10\% \times 90\)

\(\bold{= 9 \ songs}\)

Hip hop:

\(= 30\% \times 90\)

\(\bold{= 27 \ songs}\)

Electronica:

\(= (100\% - 40\% - 10\% - 30\%) \times 90\)

\(\bold{= 18 \ songs}\)

In conclusion, there are various genres on Diego's phone.

Find out more at brainly.com/question/1109652.

Complete Question:

Diego has 90 songs on his playlist. How many songs are there for hip-hop?

40% rock

10% country

30% hip-hop

The rest is electronica

Answer:

3/100

Step-by-step explanation:

3% = 3/100 = 0.03

0.03 100

——— x ———

1 100

=

3/100

From the counting principal, the possible formed distinct 3 digit numbers from the digits 1,2,3,4 with repititions is equals to the 64 ways.

W have a total number of digits = 4 = {1,2,3,4}

We have to form three digit number with repetition.

The unit’s place can be filled by any of the four digits. Since, the repetition of the digits is allowed, thus, the remaining two places that are ten’s and hundred’s places can also be filled by any of the four digits. So, the number of ways in which the three-digit numbers can be formed from these digits can be calculated by multiplication principle which states that if an event can occur in m different ways and follows another event that can occur in n different ways, then the total number of occurrence of the events in the order is m×n. Since, each place have 4 ways to obtain any of digit.

The total number of ways to form three digit numbers with repetition is = 4³ = 64

For more information about counting principal visit:

https://brainly.com/question/16858325

#SPJ4

Answer:

453.6

Step-by-step explanation:

the rule is

R% x P x T

which in this question is:

r%= 9%

p= 630

t=8

so

630 x 8 x 9% = 453.6

that's the final answer and in order to make sure make

630+453.6=1083.6

A table which could be used to verify that the functions they represent are inverses of each other include the following:

C. Table 3.

D. Table 4.

In Mathematics, an inverse function can be defined as a type of function that is obtained by reversing (undoing) the operation of a given function (f(x)).

This ultimately implies that, if the ordered pair (x₁, y₁) is a member of a functional relation, then the ordered pair (y₁, x₁) would be a member of its inverse function.

Based on table 3 and table 4, we can reasonably infer and logically deduce that the ordered pair (627, -120) and the ordered pair (-120, 627) represents a function that are inverses of each other.

Read more on inverse function here: https://brainly.com/question/27868505

#SPJ1