As as you approach zero from the left on a number line the integers ____ , but the absolute values of those integers ___?

The fundamental set of solutions of the equation (D + 5)(D2 - 6D + 25)y = 0 is :

y1 = e^(-5x),

y2 = e^(3x)cos4x, and

y3 = e^(3x)sin4x.

The given equation is (D + 5)(D2 - 6D + 25)y = 0.

The characteristic equation is given as:

(D + 5)(D2 - 6D + 25) = 0.

D = -5, (6 ± √(- 4)(25)) / 2 = 3 ± 4i.

The roots are :

-5, 3 + 4i, and 3 - 4i.

Since the roots are distinct and complex, we can express the fundamental set of solutions as :

y1 = e^(-5x),

y2 = e^(3x)cos4x, and

y3 = e^(3x)sin4x.

Thus, the fundamental set of solutions of the given equation is y1 = e^(-5x), y2 = e^(3x)cos4x, and y3 = e^(3x)sin4x.

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Answer:

just times length and breadth to getbyour answer

Answer:

2

Step-by-step explanation:

Use the area of a triangle, given 3 points formula:

A:  (x1, y1) = (0,4)

B:  (x2, y2) = (2,4)

C:  (x3, y3) = (-1,6)

Area = 1/2|x1y2 - x2y1 + x2y3 - x3y2 + x3y1 - x1y3|  

plug in all the coordinates

Area = 1/2|(0·4) - (2·4) + (2·6) - (-1·4) + (-1·4) - (0·6)|

         = 1/2|0 - 8 + 12 + 4 - 4 - 0|

         = 1/2|-8 + 12 + 4 - 4|

         = 1/2|4|

         = 2

Answer:

negative

Step-by-step explanation:

A negative times a negative is a positive

A positive times a positive is a positive

A negative times a positive is a negative

Answer:

the sign of the product is negative (-) the number is -9471

Step-by-step explanation:

when multiplying (product) 2 numbers:

if one number is negative and other is positive, answer is always a negative

if both numbers are negative, then answer is always positive

and finally if both numbers are positive, then the answer is positive.

Answer:45

Step-by-step explanation:

This is the pythagorean theroem. So you would have sides a, b, and c, of the triangle.  

\(a^{2}+b^{2}=c^{2} so\\c^{2}-b^{2}=a^{2} \\53^{2}-28^{2}=a^{2} \\a^{2}=2025\\a= \sqrt{2025} =45\)

Answer:

The answer is 45

Step-by-step explanation:

Given Data:

The salary of Clarissa is : $395 per week

The total amount Clarissa own the employment agency is 20% of the 4 weeks salery.

The total salary of employment agency in four week is,

Clarissa earn $1580 in her first four week.

The 20% of the $1580 is the amount Clarissa owns the agency.

The 20% of the $1580 is,

Thus, Clarissa has to pay $316 to the employment agency.

When using the Present Online option in PowerPoint, there are several ways to share the presentation: share the link, open using web browser, allow on web page.

The best ways for Carlos to share the presentation using this option are: share a link, email the presentation, and embed the presentation. The correct options are:1. Share a link: When Carlos chooses to share the presentation online, he has the option to share a link.

By choosing this option, he can send the link to his staff via email or message and they can open the presentation on their devices using a web browser.2. Email the presentation: Carlos can also choose to email the presentation to his staff directly from PowerPoint.

This will allow them to download and view the presentation on their own computers.3. Embed the presentation: If Carlos has a website or blog, he can embed the presentation on a webpage for his staff to view. This will allow them to view the presentation without having to download it separately.

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Answer:

The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....

Step-by-step explanation: Hope this will help you! :D

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer:

write your questions very well

Answer:

1: 6

2: 21 1/3 2

Step-by-step explanation:

Answer:

30y+13x+14.5

Step-by-step explanation:

use distributive property

1/2 x 2x and 1/2 x 5 = x + 2.5

6 x 5y and 6 x 2x and 6 x 2 = 30y+12x+12

combine like terms x+2.5 + 30y+12x+12 = 30y+13x+14.5

Answer:

f(3)=7

Step-by-step explanation:

just plug in the number

f(3)=2×3+1

=7

The best linear equation that describes the given model is Choice C: \(\hat y = -2x + 40\). the nearest tenth of a percent, the estimated percent of adults who smoked in 1997 is -3954%..

This equation represents a negative linear association, indicating that as the years (x) increase, the estimated percent of adults who smoke (\(\hat y\)) decreases. The slope of -2 suggests that for every one unit increase in x (year), the estimated percent of adults who smoke decreases by two units.

To estimate the percent of adults who smoked in 1997, we can substitute x = 1997 into the equation:

\(\hat y = -2(1997) + 40\)

\(\hat y = -3994 + 40\)

\(\hat y = -3954\)

Rounding to the nearest tenth of a percent, the estimated percent of adults who smoked in 1997 is -3954%. However, negative percentages don't make sense in this context, so we can assume that there may be an error or limitation in the model or data that leads to this unrealistic result.

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Answer:

√2⋅3+3=3

√9=3

please mark brainly if I am right

3=3

Step-by-step explanation:

The polar curve r = 4cos(3θ) intersects the origin at θ = π/6, π/3, π/2, ... and so on. These angles correspond to points on the curve where the radial distance from the origin is zero.

To determine at which angle the polar curve r = 4cos(3θ) intersects the origin, we need to find the values of θ that satisfy the equation when r = 0.

Setting r = 0:

0 = 4cos(3θ)

To find the values of θ that make cos(3θ) equal to zero, we need to consider the values of θ that make 3θ equal to π/2, π, 3π/2, etc. since cosine is equal to zero at those angles.

So, we solve the equation 3θ = π/2, π, 3π/2, ...

Dividing by 3, we get:

θ = π/6, π/3, π/2, ...

These are the values of θ at which the polar curve intersects the origin.

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The correct formula for the expression is,

⇒ f (x)  = - 6 cos (π/4.5x - 2π) + 2

Since, Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a function:

f(x) = a cos(bx + c) + d

Here a is the amplitude:

Since, The value of d is the average of maximum and minimum.

Hence,  d = (9 - 5)/2 = 4/2 = 2

And, The value of 'a' is the difference between the maximum value and d.

Hence,  a = -4 -(2) = - 6

Here, the half-period is,

= π - 3π/4) = π/4

=  b = 2π/9 = π/4.5

The value of c is the value makes the cosine zero at x= 9

⇒  (π/4.5)(9) +c = 0

⇒  c = -2π

Hence, Function is,

f (x) = - 6 cos (π/4.5x - 2π) + 2

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Answer:

The correct answer would be:

f (x) = - 6 cos (π/4.5x - 2π) + 2

The given command  "select cname from customer where age < 30 and age > 40" will produce 4 rows according to the database table.

A database in computing is a structured collection of data that is electronically accessible and stored. Large databases are housed on computer clusters or cloud storage, whilst small databases can be kept on a file system. A database is a collection of data that has been organized to make it simple to maintain and update. Data records or files containing information, including as sales transactions, customer information, financial data, and product information, are often aggregated and stored in computer databases. A database is a planned gathering of data. They enable the manipulation and storage of data electronically. Data administration is made simple by databases. Let's use a database as an example. A database is used to store information about people, their phone numbers, and other contact information in an online telephone directory.

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The functions for this problem are classified as follows:

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For the land function, the rates are given as follows:

The differences are given as follows:

Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.

For the car, the rates are given as follows:

The differences are given as follows:

Again less change on the differences, hence also linear.

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The statement "The sample statistic usually differs from the population parameter because of bias" is false because the differences is due to random sampling variability.

The sample statistic usually differs from the population parameter due to random sampling variability, and not necessarily because of bias. However, bias can also contribute to differences between the sample statistic and population parameter.

Bias refers to a systematic deviation of the sample statistic from the population parameter in one direction. Bias occurs when the sample selection process favors some characteristics of the population and excludes others.

On the other hand, sampling variability is a natural variation that occurs when taking different samples from the same population.

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Answer:

$84

Step-by-step explanation:

( 140 + 320 + 380 )/ (1+4+5) = $840/10h = $84/h

Hope it helps you

Answer: 2.7 kg

1 kilogram (kg) = 2.204623 pounds (lb)

\(\frac{6 lb}{1}\) × \(\frac{1 kg }{2.204623 lb}\) = 2.721553753 kg

You place 1 kg over 2.204623 lb since they are equal. In the above equation, the pounds (lb) cancel out since one is in the numerator (the number on top of the fraction) and one is in the denominator (the number on the bottom of the fraction). You multiply 6 by the 1 in the numerator and multiply the 1 in the denominator by 2.204623. This turns the equation into:

\(\frac{6 kg}{2.204623}\) =2.721553753 kg

You divide 6 by 2.204623 to get 2.721553753

To round to the tenths place, you include only the first number to the right of the decimal, which is 7. Since the number to the right of the 7 is less than five, it stays 7. If it were five or bigger, 7 would turn into 8.

The answer: 2.7 kg

In order for Janet's investment to increase to $10,000 in five years at a 4% yearly interest rate compounded monthly, she needs to put aside about $8,079.90 now.

For instance, if you put $1,000 in a bank account that offers 1% yearly interest, after a year you would have received $10 in interest. Compound interest allowed you to make 1 percent on $1,010 in Year Two, which amounted to $10.10 in interest payments for the year.

We can use the formula for compound interest to find how much Janet needs to invest now:

\(A=P\left(1+\frac{r}{n}\right)^{n t}\)

where:

A = the amount of money after the specified time period

P = the principal (the amount of money Janet needs to invest now)

r = the annual interest rate (4% = 0.04)

n = the number of times the interest is compounded per year (12, since it is compounded monthly)

t = the time period, in years (5)

Plugging in the values we get:

10,000 = P(1 + 0.04/12)⁽¹²*⁵⁾

Solving for P, we get:

P = 10,000 / (1 + 0.04/12)⁽¹²*⁵⁾

P ≈ $8,079.90

Therefore, Janet needs to invest about $8,079.90 now to grow to $10,000 in 5 years at a 4% annual interest rate compounded monthly.

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Answer:

-84%

Step-by-step explanation:

= 3600 / 54000

= 0,06666

x 100

≈ 6,7%

Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

USING PYTHAGORAS therorem

Tanθ = opposite/adjacent