help quick plz i will make u a brainllest

Answer:

10/9

Step-by-step explanation:

10/9

Just flip-flop the numerator and denominator

Answer:

C - {2,5,6,7,4,8}

Step-by-step explanation:

It's just because these are the numbers that they don't have in common.

You from irv guessing from your username?

Answer:

Step-by-step explanation:fhh

Given differential equation is y"-9y'+20y=0We can write this equation asy²-9y+20y=0Here, a = 1, b = -9, and c = 20Now, we have to find the roots of this equation.

Now, let us find the value of the discriminant. b²-4ac= (-9)²-4(1)(20)= 81-80= 1Since the value of the discriminant is greater than zero, therefore, we have two real and distinct roots for this equation.Roots are given by the quadratic formula.x= (-b±√(b²-4ac))/2aOn substituting the values of a, b, and c we get,x = (9±√1)/2Now,x1= 5x2= 4/1These roots give two linearly independent solutions as follows: y1=e^5t and y2=e^4tTherefore, the general solution to the differential equation is:y=c1e^5t+c2e^4tWhere c1 and c2 are constants.

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The given differential equation is y"-9y'+20y=0.

Let us use the characteristic equation to solve this differential equation.

The characteristic equation of y"-9y'+20y=0 isr² - 9r + 20 = 0.

Solve for r by factoring the characteristic equation(r - 5)(r - 4) = 0. 

Therefore, r = 5 and r = 4.

Thus, the general solution of the differential equation y"-9y'+20y=0 isy(x) = c₁e⁴x + c₂e⁵x

where c₁, c₂ are constants.

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Answer: 8 cubic inches

Step-by-step explanation:

Answer:

Volume of cube = length x width x height

V = 2x2x2

V = 8

Therefore, the volume of the box is 8 inches long.

Answer:

\(y'= \frac{3x+2}{2\sqrt{x} }\)

General Formulas and Concepts:

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

Product Rule: \(\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Chain Rule: \(\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

\(y=\sqrt{x} (x+2)\)

Step 2: Rewrite

\(y=x^{\frac{1}{2} } (x+2)\)

Step 3: Differentiate

The set of numbers that can represent the side lengths, in centimeters, of a right triangle is 10, 24, 2, option B.

To determine which set of numbers can represent the side lengths, in centimeters, of a right triangle, we will use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two side lengths.

Let's examine the two sets of side lengths provided:

A. 8, 12, 15
Using the Pythagorean theorem, we will check if 8² + 12² = 15².
8² = 64
12² = 144
15² = 225
64 + 144 = 208

Since 208 is not equal to 225, set A does not form a right triangle.

B. 10, 24, 26
Using the Pythagorean theorem, we will check if 10² + 24² = 26².
10² = 100
24² = 576
26² = 676
100 + 576 = 676
Since 676 is equal to 676, set B does form a right triangle.

Therefore, the set of numbers that can represent the side lengths, in centimeters, of a right triangle is B. 10, 24, 26.

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The multiple of 2⅓, add 2¼. is 2 7/12.

A multiple in mathematics is created by multiplying any number by an integer. In other words, if b = na for some integer n, known as the multiplier, it can be said that b is a multiple of a given two numbers, a and b. This is equivalent to stating that b/a is an integer if an is not zero.

In other words, the product of 4 and any natural integer is the multiple of 4. For instance, the result of multiplying 4 by 4 is 16, making 16 a multiple of 4. Examples of multiples of four are 4, 12, 20, 24, and so forth.

Start at 2⅓, add 2¼. I need the first 4 multiples​?

→2 1/3+2 1/4

⇒2 3+4/12

⇒2 7/12

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The correct dot plot representation of the life spans of houseflies is option B, with the life spans ranging from 4 to 14 days and most life spans in the range of 5 to 9 days.

A dot plot is a simple and effective way of visualizing data, especially for small data sets. A dot plot represents each data point as a dot on a number line, with the position of the dot indicating the value of the data point.

Option B states that the life spans range from 4 to 14 days, with most life spans in the range of 5 to 9 days. This means that the dot plot will have a number line running from 4 to 14, with the majority of dots clustered in the 5 to 9 range. This is the correct representation of the dot plot of the life spans of houseflies.

The dot plot suggests that the distribution of the life spans of houseflies is not symmetrical and has a mode (the most frequent value) between 5 and 9 days. This indicates that most houseflies live between 5 and 9 days, with fewer houseflies living either shorter or longer lives.

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The graph indicates that any value of p to the right of the open circle (greater than 27) satisfies the inequality 3 < p/9.

To solve the inequality 3 < p/9, we can start by multiplying both sides of the inequality by 9 to eliminate the fraction:

3 * 9 < p

27 < p

So the solution to the inequality is p > 27.

Now, let's graph the solution on a number line. Since the inequality is p > 27, we will represent it with an open circle at 27 and an arrow pointing to the right to indicate that the values of p are greater than 27. Here's how the graph would look:

markdown

Copy code

----------------------> (number line)

      o

     27

The graph indicates that any value of p to the right of the open circle (greater than 27) satisfies the inequality 3 < p/9.

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Answer:

Solution:

2x×(x+3)

Step-by-step explanation:

oper brackets

The radius of the cone is 2cm( nearest centimeter).

A cone is a shape formed by using a set of line segments. A cone consist of a circular base and Apex.

The volume of a cone is expressed as;

V = 1/3πr²h

where r is the radius and h is the height of the cone.

volume = 8πcm³

height = 4cm

The radius is calculated as;

8π = 1/3 × π × r² × h

24π = πr²h

24 = 4r²

divide both sides by 4

r² = 24/4

r² = 6

r = √6

r = 2 cm ( nearest centimeters)

therefore the radius of the cone in nearest centimeters is 2cm

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Answer:

The measure of angle P is 43°

Step-by-step explanation:

If a quadrilateral is inscribed inside a circle, the sum of opposite angles are always equal to 180 degrees.

The angle POR is opposite to the angle PQR, and the angle OPQ is opposite to the angle ORQ.

So we have that:

mOPQ + mORQ = 180°

y + 3y + 8 = 180

4y = 172

y = 43°

So the measure of angle P is 43°.

Answer:

50/50

Step-by-step explanation:

Answer:

1/8 because {(T , T , T), (T , T , H),(T , H , T), (T , H , H),(H , H , H),(H , H , T),(H , T , H),(H , T , T)} which has 8 combinations in total so that means 1/8... 8 is denominator because 8 combinations 1 is for each one.

The quadratic equation of function in the standard form is Y = -1.25 x² + 5x.

Since quadratic equation's x-intercepts are (-5, 0). That indicated that the quadratic equation's two elements are (x + 5) and (x -0).

f(x) = a (x + 5) (x - 0) (x - 0)

= ax+5a

The quadratic equation's graph goes through (4, 0). thus, we must change equation 1 to read x = 4 and f(x) = 0.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

The quadratic equation is known to have the form ax² + bx + c = 0.

f(x) = -1.25 + 5x  

Consider y= F(x)

∴ Y = -1.25 x² + 5x.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

The power series representation for ln((1+x)/(1-x)) is given by: ln\(((1+x)/(1-x)) = 2(x + (x^3)/3 + (x^5)/5 + (x^7)/7 + ...)\), This representation is valid for |x| < 1, as it is derived using the power series expansion of ln(1+x) and ln(1-x), which have a convergence radius of 1.

To find the power series representation of ln((1+x)/(1-x)), we'll use the properties of the natural logarithm function and the geometric series.

First, we'll rewrite the expression using the properties of logarithms:

ln((1+x)/(1-x)) = ln(1+x) - ln(1-x)

Now, let's find the power series representation for ln(1+x) and ln(1-x) separately.

Power series representation of ln(1+x):

We know that the power series representation of ln(1+x) is given by: \(ln(1+x) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...\)

Power series representation of ln(1-x):

Similarly, the power series representation of ln(1-x) is given by:

\(ln(1-x) = -x - (x^2)/2 - (x^3)/3 - (x^4)/4 - ...\)

Now, we'll subtract the series representation of ln(1-x) from ln\((1+x): ln((1+x)/(1-x)) = (x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ...) - (-x - (x^2)/2 - (x^3)/3 - (x^4)/4 - ...) = x - (x^2)/2 + (x^3)/3 - (x^4)/4 + ... + x + (x^2)/2 + (x^3)/3 + (x^4)/4 + ... = 2(x + (x^3)/3 + (x^5)/5 + (x^7)/7 + ...)\)

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When testing the ball bearings of a certain type, if the average diameter is found to be significantly different from 0.5 inch,

it would indicate that there may be issues with the manufacturing process or the quality of the materials used.

A lower average diameter may suggest that the bearings are being manufactured with insufficient materials or using inaccurate machinery, leading to inconsistencies in the size and shape of the bearings.

Conversely, a higher average diameter may suggest that the manufacturing process is producing bearings that are too large and may not fit properly in the intended machinery.

In either case, it would be important to investigate the cause of the discrepancy and take corrective measures to ensure that the bearings meet the required specifications.

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The probability of throwing a sum less than or equal to 3 is 1/216

Probability:

It is defined as an event that can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.

If we are talking three six-sided dice each marked 1 through 6, and fairly weighted so every side is of equal probability, then there is only 1 combination that sums to less than 3: 1 1.

Meanwhile, there are 6 possible rolls on the first die, and for each, 6 possible rolls on the second and third die, so 6*6*6=216 total possible rolls.

There is only one probability to get a sum less than or equal to 3 (1,1,1)

P(x<=3)=1/216

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We will use a simultaneous approach since the rates are seemingly different.

We will create a relationship using the general line equation, y = mx + c.

Where:

y = Cost, C according to our question

m = line gradient

x = no of shirts, n

c = line intercept on y / cost axis, we will call this b since we already have C

Thus, we will have:

So, inputting variables from our question, we have:

We now substitute this value of m into the equation 1 to get:

Finally, we substitute the values of m and b into equation 0 to get:

C = 9.5n + 25

Answer: 0.5 miles

Step-by-step explanation:

hope this helps!

Answer: Pascal walk 0.5 for every mile Lucien runs.

Step-by-step explanation:

The given expression is

To solve this equation, we have to look for two numbers which product is 33, and which difference is 8. Those numbers are 11 and 3.

Then, we isolate the variables.

Answer:

Its 1/32

Step-by-step explanation:

Please mark brainliest

324 is the maximum value of the product of these three numbers

What is maxima and minima?

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, and minima will be its lowest.

The extrema of a function are the maxima and minima. The maximum and minimum values of a function inside the specified ranges are known as maxima and minima, respectively. Absolute maxima and absolute minima are terms used to describe the function's maximum and minimum values, respectively, over its full range.

Let the three nonnegative numbers are x,y,z

According to the question

x+y+z=36

and y=2x

therefore, 3x+z=36--------------------------------------------------(1)

z=36-3x

Let 3xz= u--------------------------------------------------------------(2)

differentiating equation 2

du/dx=3z + 3xdz/dx

or

du/dx= z + xdz/dx

differentiating equation 1

3 + dz/dx = 0

dz/dx = -3

du/dz = 36-3x + x(-3)

du/dx = 12 - 2x--------------------------------------------------------------(3)

for maxima put du/dx = 0

x=6-------------------------------------------------------------------------------(4)

again differentiating du/dx = 12 - 2x

d2u/dx2=-2

which means 3xz= u is maximum at x=6

from equation 1 and 4

we get 18+z=36

z=18

Therefore 3xz= 3(6)(18)=324

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Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

Unlike, in the case of a Binomial distribution, for a Poisson distribution, the knowledge of number of trials to get the observed number of successes is not required. The Poisson distribution has only one parameter namely “m” the mean number of successes per given unit of time.

The Poisson distribution is often taken as a limiting case of Binomial distribution, under the following conditions.

The number of trails is indefinitely large i.e., n → ∞

The probability of success, “p” is very small i.e., p → 0

np is finite i.e., np = m where p = m/n and q = 1 – m/n and m > 0.

However, it is not defined if “n” is large means how large and “p” is closed to zero means how small? It is left to the readers to assume how large n should be and how small p should be? As mentioned earlier, the Poisson distribution is often described as a limiting case of Binomial distribution.

Based on the results of the study , published by me clearly proves that even when 10 ≤ n ≤50 and p ≤ 0.2, the Poisson distribution can be a good approximation to Binomial distribution.

Hence the answer is Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

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Answer:

-9/2 < x < -3/5

Step-by-step explanation:

So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.

1. Subtract 3 from both sides:

6x < x - 3

2. subtract x from both sides:

5x < -3

3. divide 5 from both sides:

x < -3/5

Then, we do the same thing as part 1, but this time with x < 3x + 9.

1. Subtract 9 from both sides:

x - 9 < 3x

2. subtract x from both sides:

-9 < 2x

3. divide both sides by 2:

-9/2 < x.

Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.

I hope this helped! :D

\(\\ \sf\longmapsto 6x + 3 < x < 3x + 9 \\ \\ \sf\longmapsto 6x - 3x < x < 9 - 3 \\ \\ \sf\longmapsto 3x < x < 6 \\ \\ \sf\longmapsto x < \frac{x}{3} < 2\)

Answer:

chatGPT

Step-by-step explanation:

Let's denote the speed of each car as v, and the distance that Car A travels as d. Then we can set up two equations based on the information given:

d = v * (12/60) (since Car A reaches its destination in 12 minutes)

d + 4 = v * (18/60) (since Car B travels 4 miles farther than Car A and reaches its destination in 18 minutes)

Simplifying the equations by multiplying both sides by 60 (to convert the minutes to hours) and canceling out v, we get:

12v = 60d

18v = 60d + 240

Subtracting the first equation from the second, we get:

6v = 240

Therefore:

v = 240/6 = 40

So the cars travel at a speed of 40 miles per hour.