Simplify a^5 take away a^3

Answer:         0.0238095238

Step-by-step explanation:

Based on the given algorithm, we can analyze the recurrence relation for the running time of the algorithm on inputs of arrays of n elements.

Let's denote the running time of the algorithm for an input of size n as t(n).

For n = 1, the algorithm computes f(g) for a single entry in the array, which costs a constant time, let's say C1. Therefore, we have:

t (1) = C1

For larger values of n, the algorithm splits the array into two subarrays of size 2n/3 each and runs recursively on each subarray. This step incurs a running time of t(2n/3) for each subarray.

Additionally, the algorithm performs the computation g(x, y) on the resulting ordered set of two integers, which costs a constant time, let's say C2.

Considering these factors, we can write the recurrence relation for the running time as:

t(n) = 2t(2n/3) + C2

Therefore, the correct option among the given recurrence relations that seems to fit the running time of the algorithm is:

c. t(1) = C, and t(n) = 2t(2n/3) + C2, for some positive constants C, C2

Learn more about recurrence relation here:

brainly.com/question/27381972

#SPJ11

Answer:

░░░░░▐▀█▀▌░░░░▀█▄░░░ ░░░░░▐█▄█▌░░░░░░▀█▄░░ ░░░░░░▀▄▀░░░▄▄▄▄▄▀▀░░ ░░░░▄▄▄██▀▀▀▀░░░░░░░ ░░░█▀▄▄▄█░▀▀░░ ░░░▌░▄▄▄▐▌▀▀▀░░ This is Bob ▄░▐░░░▄▄░█░▀▀ ░░ ▀█▌░░░▄░▀█▀░▀ ░░ Copy And Paste ░░░░░░░▄▄▐▌▄▄░░░ So, He Can Take ░░░░░░░▀███▀█░▄░░ Over Brainly Join the cult today

Step-by-step explanation:

bob is life

bob is food

bob is bob

If 18,793 is multiplied by 1000, then the product of this arithmetic equation will be equal to 18,793,000.

The arithmetic equations are the mathematical problems which includes simple functions such as addition (summation), subtraction, multiplication and division. The function of multiplication is also called as repeated addition. In the given question, the multiplicand is 18,793 and the multiplier is 1000 and the result which we get that is 18,793,000 is called as product.

The multiplicand is always written first. When the multiple of 10 is multiplied to any number, the general rule says that there is simple addition of zeroes in the right hand side of the number if is not in decimal form. If the number is in decimal form, the decimal point shift to the right hand side as many times as there are zeroes in the multiplier.

Learn more about multiplication at:

brainly.com/question/29793687

#SPJ4

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

Learn more about sine rule:https://brainly.com/question/30339234

#SPJ1

The expression (-7)·(-7)·5·5·5·5 can be written using exponents as: \((-7)^2 * 5^4\).This is because (-7)·(-7) is equal to \((-7)^2\), and 5·5·5·5 is equal to \(5^4\).Writing expressions using exponents is a way to represent repeated multiplication in a more concise form.

Exponents indicate how many times a base number is multiplied by itself. Here's how you can write expressions using exponents:

Base: This is the number that you're going to multiply repeatedly.

Exponent: This is the small number written above and to the right of the base. It represents how many times the base is multiplied by itself.

Some key points to remember:

Multiplication with the same base: When you have the same base number multiplied multiple times, you can use an exponent to represent it more compactly.

Negative Exponents: Negative exponents indicate that the base is in the denominator. For example, x^-3 is equivalent to 1/x^3.

Fractional Exponents: Fractional exponents indicate roots. For example, x^(1/2) is the square root of x.

Operations with Exponents: When you have expressions with exponents and you're performing operations like addition, subtraction, multiplication, or division, you need to follow the rules of exponentiation.

To know more about exponents:

https://brainly.com/question/5497425

#SPJ3

Answer:

The equation that represents the distance left to hike is: \(y = 1600 - 200*x\)

The time it'll take to hike 1600 ft is: x = 8 h

Step-by-step explanation:

Since Joan hikes 600 ft every 3 hours, then her average speed is given by:

\(v_{avg} = \frac{600}{3} = 200\text{ }\frac{\text{ft}}{\text{h}}\)

Since she wants to cover 1600 feet, then the equation that represents the distance left to hike is:

\(y = 1600 - 200*x\)

The time it'll take to hike 1,600 feet is the time it'll take for y = 0, because at that point the distance left to hike is equal to zero.

\(0 = 1600 - 200*x\\200*x = 1600\\x = \frac{1600}{200} = 8 \text{ h}\)

Answer:

y=200x. it will take joan 8 hours to hike 1600 ft.

Step-by-step explanation: Hope This Helps :)

The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

Learn more about equation

brainly.com/question/29538993

#SPJ11

Step-by-step explanation:

total angle in a triangle180

<a +<b+<c=180

when u get x

put it in <b

then u get the value

The math club president is correct. Adding three more trumpets to the section will not make the band "50 percent louder" as claimed by the band director. The sound intensity increases logarithmically with the number of trumpets, and the actual increase in decibels is much lower than 50 percent.

The sound-intensity function is given by D(I) = 10log(I/I₀), where I is the sound intensity and I₀ is the threshold of human hearing (10^(-12) watt per square meter). We are given that the sound intensity for six trumpets is 90 dB, and we need to determine the sound intensity for nine trumpets.

Using the sound-intensity function, we can set up the following equation to find the sound intensity for nine trumpets:

10log(I/10^(-12)) = 135

Simplifying the equation, we get:

log(I/10^(-12)) = 13.5

Taking the inverse logarithm of both sides, we have:

I/10^(-12) = 10^(13.5)

Simplifying further, we find:

I = (10^(13.5)) * 10^(-12)

I ≈ 3.16 * 10^2

Therefore, the sound intensity for nine trumpets is approximately 316 dB.

Now, let's calculate the percentage increase in sound intensity from six to nine trumpets:

Percentage increase = ((316 - 90) / 90) * 100

Percentage increase ≈ 251.1%

As we can see, the actual increase in sound intensity is around 251.1%, which is significantly lower than the claimed 50 percent increase. Thus, the math club president is correct in stating that the band will not be "50 percent louder" with the addition of three more trumpets.

To learn more about logarithm click here: brainly.com/question/30226560

#SPJ11

Answer:

If the number gets bigger to the right.

The number gets less if it moves to the left.

Step-by-step explanation:

Answer:

You move the decimal points the amount at which the number that is next to the 10 is, or you could find 10^3, which is 1000, and move the decimal to the right 3 times (or places)... Resulting in 4,580... Do you understand?

The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.

In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.

To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.

However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.

Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.

Learn more about absolute value here: brainly.com/question/17360689

#SPJ11

Step-by-step explanation:

an angle that is complementary to one of the interior angles of the triangle because interior angle+exterior angle add up to 180°

The probability of getting a blue sock then a black sock is 3/100 or 0.03.

The probability of picking a blue sock on the first draw is 3/10 (since there are 3 blue socks out of a total of 10 socks).

Calculate the probability of picking a blue sock first.
There are 3 blue socks out of a total of 10 socks (6 white + 3 blue + 1 black), so the probability of picking a blue sock first is 3/10.

Since the sock is replaced, the total number of socks remains the same. Calculate the probability of picking a black sock second.
There is 1 black sock out of a total of 10 socks, so the probability of picking a black sock second is 1/10.

Multiply the probabilities together.
The probability of both events happening in sequence is (3/10) * (1/10) = 3/100.

So, the probability of getting a blue sock then a black sock is 3/100.

Learn more about probability

brainly.com/question/30034780

#SPJ11

The smallest universal set U that contains all the listed trees in both Riverside Park and Sleepy Hollow Park is the union of sets R and S. It includes all the trees present in both parks.

To find the smallest universal set, we need to create a set that includes all the unique trees from both parks without any duplicates.

To create the smallest universal set, we need to combine the sets of trees from Riverside Park and Sleepy Hollow Park into one set, removing any duplicate entries.

This will give us a set that includes all the unique trees from both parks, which is the minimum universal set we are looking for. This can be done using the union operation on sets.

Learn more about  set theory

brainly.com/question/27333813

#SPJ11

Answer:

5 : 1

Step-by-step explanation:

Unit conversion (between cm and mm) : 1 cm = 10 mm

⇒ 4 cm : 8 mm

⇒ 4 x 10 mm : 8 mm

⇒ 40 mm : 8 mm

⇒ 5 : 1

The approximate probability that a randomly selected US adult woman is shorter than 69.5 inches is 0.9772 or about 97.72%.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence.

We are given that the height of adult women in the US follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.

We need to find the probability that a randomly selected US adult woman is shorter than 69.5 inches.

To find this probability, we need to calculate the z-score first:

z = (x - mu) / sigma

where x is the height we want to find the probability for, mu is the mean, and sigma is the standard deviation.

Substituting the values, we get:

z = (69.5 - 64.5) / 2.5 = 2

Using a standard normal distribution table or calculator, we find that the probability of a z-score of 2 or less is 0.9772.

Therefore, the approximate probability that a randomly selected US adult woman is shorter than 69.5 inches is 0.9772 or about 97.72%.

Learn more about probability on:

https://brainly.com/question/13604758

#SPJ4

Answer:

higher education

Step-by-step explanation:

it makes most sence if you choose mine

Generally, the more education you receive, the higher your lifetime earnings.

Formal education is a type of social institution where an individual is though the morals , manners and ethics of the society. The individual's use of logic while making decisions and integration with others is amplified.

The importance of education to the life of an individual include the following:

Therefore, the more education you receive, the higher your lifetime earnings and achievements.

Learn more about education here:

https://brainly.com/question/24374672

There are 11 prime dates in it.

The prime numbers between 1 and 30 are 1, 2,3,5,7,11,13,17,19,23,29

Relative prime:

Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Hence There are 11 prime dates in the month of June.

Learn more about Relative Prime on:

https://brainly.com/question/639103

#SPJ4

Answer: 10

Step-by-step explanation:

Since exactly 1 in every $n$ consecutive dates is divisible by $n$, the month with the fewest relatively prime days is the month with the greatest number of distinct small prime divisors. This reasoning gives us June ($6=2\cdot3$) and December ($12=2^2\cdot3$). December, however, has one more relatively prime day, namely December 31, than does June, which has only 30 days. Therefore, June has the fewest relatively prime days. To count how many relatively prime days June has, we must count the number of days that are divisible neither by 2 nor by 3. Out of its 30 days, $\frac{30}{2}=15$ are divisible by 2 and $\frac{30}{3}=10$ are divisible by 3. We are double counting the number of days that are divisible by 6, $\frac{30}{6}=5$ days. Thus, June has $30-(15+10-5)=30-20=\boxed{10}$ relatively prime days.

Answer:

FGH ~ KLJ

Step-by-step explanation:

You have to write the similarities in order. Meaning, each letter of the triangle must correspond with each letter of the other triangle, in order. So if ABC is similar to LMN, then A must be similar to L, B must be similar to M, and C must be similar to N.

So,F = 91 and K = 91. They are the first part of the similarity. Then, G and L both equal 65, so they are the second part. Finally, H and J both equal 24, so they must be the third part.

Therefore,  FGH ~ KLJ.

(If you are wondering about the second part: " ≅ " means congruent to and " ~ " means similarity so the ~ symbol is the right one.)

I hope this helps! Good Luck!

The relationship between two triangles is ΔFGH ~ ΔJKL.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

Two triangles ΔFGH and ΔJKL.

And the triangles are similar.

That means, the corresponding angles are congruent.

From the diagram:

ΔFGH ~ ΔJKL.

Therefore, ΔFGH ~ ΔJKL.

To learn more about the similar triangles;

https://brainly.com/question/14926756

#SPJ6

Answer:

Step-by-step explanation:

The answer is B 50

Answer:

12.5 in squared 3

Step-by-step explanation:

Answer:

12.5!

Step-by-step explanation:

Answer:

please Brainiest

Step-by-step explanation:

Let's simplify step-by-step.

3x−4y−8+12

=3x+−4y+−8+12

Combine Like Terms:

=3x+−4y+−8+12

=(3x)+(−4y)+(−8+12)

=3x+−4y+4

The given function is f(x) = (x - 5)². We need to find the inverse of this function and state their domains. To find the inverse of a function, we need to follow these steps:

Replace f(x) with y in the given function and interchange x and y.

f(x) = (x - 5) ²

⇒ y = (x - 5) ²

Replace y with f⁻¹(x).

f⁻¹(x) = (x - 5) ²

Now we have found the inverse of the given function. Let's find the domain of f⁻¹(x).

The domain of the given function is x ≥ 5.

The range of the given function is y ≥ 0.

Since f(x) is a quadratic function, it will have two roots.

Therefore, there will be two inverses associated with this function.

To find the second inverse, we need to interchange the sign of the root.

f⁻¹(x) = (x - 5) ²

For the first inverse, the root will be positive.

Therefore, the domain of f⁻¹(x) will be x ≥ 0.

For the second inverse, the root will be negative. Therefore, the domain of f⁻¹(x) will be x ≤ 0.

Hence, the two inverses are:

f⁻¹(x) = 5 + √x, x ≥ 0f⁻¹(x) = 5 - √x, x ≤ 0

the main explanation for finding the inverse of a function is by replacing f(x) with y in the given function and interchange x and y. After that, replace y with f⁻¹(x) and find the domain of f⁻¹(x).

Since f(x) is a quadratic function, it will have two roots. Therefore, there will be two inverses associated with this function. To find the second inverse, we need to interchange the sign of the root. For the first inverse, the root will be positive.

Therefore, the domain of f⁻¹(x) will be x ≥ 0. For the second inverse, the root will be negative.

Therefore, the domain of f⁻¹(x) will be x ≤ 0. Hence, the two inverses are:

f⁻¹(x) = 5 + √x, x ≥ 0

f⁻¹(x) = 5 - √x, x ≤ 0.

To know more about quadratic function visit:

https://brainly.com/question/18958913

#SPJ11

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

Since figure Q was rotated by 90 degrees counterclockwise about the center of rotation shown, the figure which would be in image of Q is: option D.

In Mathematics, the rotation of a geometric figure 90° about the origin in a clockwise or counterclockwise direction would produce a geometric figure that has these coordinates (y, -x).

Note: Counterclockwise about the center of rotation implies moving in the opposite direction of a clock.

By applying a rotation of 90° counterclockwise about the center of rotation to geometric figure Q, the image of geometric figure D would be produced because it rotates the figure 90 degrees in the opposite direction to the left.

Read more on rotation here: brainly.com/question/28515054

#SPJ1

ANSWER_____9.2M_________