You want to know the percentage of utility companies that earned revenue less than 3939 million or more than 6161 million dollars. If the mean revenue was 5050 million dollars and the data has a standard deviation of 77 million, find the percentage. Assume that the distribution is normal. Round your answer to the nearest hundredth.

Answer: Isolation,adaption,overpopulation

Step-by-step explanation:

The solution to the initial value problem can be written in the form:

y(x) = (1/K)∫|sin(5x)|⁵ (3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

To solve the initial value problem and find the solution y(x), we can use the method of integrating factors.

Given: dy/dx + 5cot(5x)y = 3x³ - csc(5x), y = 0

Step 1: Recognize the linear first-order differential equation form

The given equation is in the form dy/dx + P(x)y = Q(x), where P(x) = 5cot(5x) and Q(x) = 3x³ - csc(5x).

Step 2: Determine the integrating factor

To find the integrating factor, we multiply the entire equation by the integrating factor, which is the exponential of the integral of P(x):

Integrating factor (IF) = e^{(∫ P(x) dx)}

In this case, P(x) = 5cot(5x), so we have:

IF = e^{(∫ 5cot(5x) dx)}

Step 3: Evaluate the integral in the integrating factor

∫ 5cot(5x) dx = 5∫cot(5x) dx = 5ln|sin(5x)| + C

Therefore, the integrating factor becomes:

IF = \(e^{(5ln|sin(5x)| + C)}\)

= \(e^C * e^{(5ln|sin(5x)|)}\)

= K|sin(5x)|⁵

where K =\(e^C\) is a constant.

Step 4: Multiply the original equation by the integrating factor

Multiplying the original equation by the integrating factor (K|sin(5x)|⁵), we have:

K|sin(5x)|⁵(dy/dx) + 5K|sin(5x)|⁵cot(5x)y = K|sin(5x)|⁵(3x³ - csc(5x))

Step 5: Simplify and integrate both sides

Using the product rule, the left side simplifies to:

(d/dx)(K|sin(5x)|⁵y) = K|sin(5x)|⁵(3x³ - csc(5x))

Integrating both sides with respect to x, we get:

∫(d/dx)(K|sin(5x)|⁵y) dx = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

Integrating the left side:

K|sin(5x)|⁵y = ∫K|sin(5x)|⁵(3x³ - csc(5x)) dx

y = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

Step 6: Evaluate the integral

Evaluating the integral on the right side is a challenging task as it involves the integration of absolute values. The result will involve piecewise functions depending on the range of x. It is not possible to provide a simple explicit formula for y(x) in this case.

Therefore, the solution to the initial value problem can be written in the form: y(x) = (1/K)∫|sin(5x)|⁵(3x³ - csc(5x)) dx

where K is a constant determined by the initial condition.

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Step-by-step explanation:

(0.5-2)-1 = -1.5 - 1

= -2

(3+4) -2 = 7 - 2

= 5

(-8+5)+3 = -3+3

= 0

-(0.5-2)+1 = -(-1.5)+1

= +1.5 + 1

= 2.5

-(3+4)+2 = -(7) +2

= -5

-(-8-5) -3 = -(-13) -3

= +13 -3

= 10

Answer:

The first one is parallel.

The second one is perpendicular.

The third one is neither.

Step-by-step explanation:

Parallel lines have the same slope.  The slope for both of the equations is 1/2

Perpendicular slopes are opposite reciprocals.  The opposite reciprocal of of 3 is -1/3.

Helping in the name of Jesus.

Taking the ratio of similar sides of the triangle, y has a value of √21

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

In math, This is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

To find the value of y, we have to take the ratio of  sides of the two similar triangles

7 / y = y / 3

7 × 3 = y × y

21 = y²

y = √21

The value of y is √21

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Step-by-step explanation:

\( \sin(20 \degree) = \frac{3}{AB} \\ AB = \frac{3}{ \sin(20 \degree) } \\ AB = \frac{3}{0.342} \\ AB = 8.77\)

Answer:

\( \frac{20}{28} = \frac{15}{2x + 3} \\ 20(2x + 3) = 15 \times 28 \\ 40x + 60 = 420 \\ 40x = 420 - 60\\ 40x = 360 \\ x = 9\)

The value of x using the proportionality rule is 9.

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given that the two triangles ABC and ADE are similar triangles.

We have to find the value of x.

If two triangles are similar, then the corresponding sides are proportional.

A corresponds to A, B corresponds to D and C corresponds to E.

AB / AD = BC / DE = AC / AD.

Consider AB / AD = BC / DE.

28 / 20 = 2x+3 / 15

Cross multiplying,

20 (2x + 3) = 28 × 15

2x + 3 = 21

2x = 18

x = 9

Hence the value of x is 9.

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The total number of dolls they had in the beginning was 35, and after Jacky gave Peter 15 dolls, they each had 25 dolls. So, they had a total of 50 dolls in all.

Let the initial number of dolls Jacky had be 5x, and the initial number of dolls Peter had be 2x. So, the total number of dolls they had in the beginning was 5x + 2x = 7x.

After Jacky gave Peter 15 dolls, Peter had (2x + 15) dolls, and Jacky had (5x - 15) dolls. As they had an equal number of dolls after this, we get the equation:

5x - 15 = 2x + 15

Simplifying this, we get:

3x = 30

x = 10

So, the initial number of dolls Jacky had was 5x = 50, and the initial number of dolls Peter had was 2x = 20. Therefore, the total number of dolls they had in the beginning was 50 + 20 = 70.

After Jacky gave Peter 15 dolls, they each had 25 dolls, and the total number of dolls they had in all was 25 + 25 = 50.

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Answer:

24t = amount earned

Step-by-step explanation:

12 dollars per hour

so 12*t

since coach would double all the money they earned, it would mean multiplying 12t by 2 which would make the answer 24t= amount earned

The given series is 6^(-5) * (1/9). To determine if this series converges, we need to find the limit of its terms as n approaches infinity.

6^(-5) is a constant, so we can ignore it for now and focus on (1/9). The limit of (1/9) as n approaches infinity is simply (1/9), which is a finite value. Therefore, the series converges.

There are no specific values of x to find in this case, as the series only has one term. The given term converges for all values of x.

It seems that you have not provided a series in your question. Could you please provide the series you'd like to analyze for convergence? Make sure to include the terms you'd like to be in the answer, and I'll be happy to help you find the values of x for which the series converges.

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To improve the experimental design, it would be beneficial to increase the sample size, include a control group, and ensure that all vehicles experience similar conditions of use.

The experimental design mentioned in the question has a few issues. Firstly, the sample size is relatively small, with only 100 Toyota Highlanders fitted with brand A wipers and 100 Chevrolet Equinoxes fitted with brand B wipers. A larger sample size would provide more accurate and reliable results.

Additionally, the experiment lacks a control group. A control group would involve using the same type of wipers on a set of vehicles under normal conditions. By comparing the wear of brand A and brand B wipers to the control group, it would be possible to determine if any wear differences are due to the wipers themselves or other factors.

Furthermore, the experiment does not account for differing conditions of use. It is unclear if both sets of vehicles were subjected to the same driving conditions and weather patterns. These factors could significantly impact the wear and lifespan of the windshield wipers.

In conclusion, to improve the experimental design, it would be beneficial to increase the sample size, include a control group, and ensure that all vehicles experience similar conditions of use.

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Step-by-step explanation:

the radius (r) is 36 inches, the circumference of the circle is C = 2pi r,

or C = 2pi(36 inches) = 72pi inches.

Answer: yes, 6x (8-5) = (6 x 8) - (6 x -5)

Step-by-step explanation:

Answer: Graph A is your answer

Step-by-step explanation:

Graph A becuase since it makes the same bobble-heads each hour and in 2 hours it made 120 then it makes 60 an hour. So 60x5 is 300 so Graph shows the relationship between the amount of time the machine runs and the number of bobble-head toys built.

The theorem that states F is a Fibonacci number if and only if either 5 F2+4 or 5 F2−4 is a perfect square was tested for FNs 8 and 13. However, the theorem was not valid for either of these numbers.

We know that a sequence of numbers is called a Fibonacci series if the next number in the sequence is the sum of the two previous ones.

The first two numbers of the Fibonacci series are 0 and 1.

Hence, the third number is 0 + 1 = 1,

fourth number is 1 + 1 = 2,

fifth number is 1 + 2 = 3, and so on.

Let's test this theorem for the FNs (a) 8 and (b) 13.

We have to verify whether either 5 F^{2}+4  or 5 F^{2}-4  is a perfect square.

For FN = 8,

5F^{2}+4 = 5(8)^2+4 = 324 and 5 F^{2}-4 = 5(8)^2-4 = 316.

Neither of these is a perfect square.

Hence, the theorem is not valid for FN = 8.

For FN = 13,5

F^{2}+4 = 5(13)2+4 = 876 and 5 F^{2}-4 = 5(13)2-4 = 860.

Neither of these is a perfect square. Hence, the theorem is not valid for FN = 13.

Therefore, the theorem is not valid for FNs 8 and 13.

The theorem that states F is a Fibonacci number if and only if either 5 F2+4 or 5 F2−4 is a perfect square was tested for FNs 8 and 13. However, it was found that the theorem was not valid for either of these numbers.

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A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.

In light of the conditions stated, come up with: \($\frac{8 \frac{3}{4}}{2 \frac{1}{7}}$\) To improper fractions, change the mixed numbers to: \($\frac{\frac{35}{4}}{\frac{15}{7}}$\) Multiply the reciprocal of a fraction to get its division: \($\frac{35}{4} \times \frac{7}{15}$\)

Mark this common element as a no-go: Multiplying \($\frac{7}{4} \times \frac{7}{3}$\) Mark the common element as absent: Multiplying \($\frac{7 \times 7}{4 \times 3}$\) . Put the following in one fraction : \($\frac{49}{12}$\) . The product or quotient should be

calculated.Find the biggest number that is greater than \($\frac{49}{12}$\) and less than or equal to it . A spool of thread measuring 8 3/4 inches long and 4 inches wide can be cut into 2 1/7 inch pieces.Otherwise, you or a device will need to count 127 turns (the irreducible repeat, independent of thread pitch), after which the half nut must be closed.

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Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

According to the statement

we have given that the sint=1/8 then we have to find the exact value of

sin(2t) , cos(2t) , and tan(2t).

Here the value of Sint = 18

then sin2t becomes

sin2t = 2*1/8 then

sin2t = 1/4.

And

(Cos2t)^2 = 1 - (Sin2t)^2

(Cos2t)^2 = 1 - 1/16

(Cos2t)^2 = (16 - 1)/16

(Cos2t)^2 = 15/16

(Cos2t) = (15/16)^1/2

then

tan2t = sin2t/cos2t

tan2t = (1/4)/(15)^1/2 / 4

tan2t = 1/(15)^1/2

these are the values of given terms.

So, The value of Sin2t is 1/4 and cos2t is (15/16)^1/2  and tan2t is 1/(15)^1/2.

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The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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For the differential equation (y^2 − 16)y' = 1/t and (sin y)y' = 2 + cost,  the largest open rectangle in the ty-plane containing the point (-3, 2) and  (0, -π/2) in which the unique solution is guaranteed to exist is: -4 < y < 4, -4 < t < -2 and  -π < y < 0, -π/4 < t < π/4 respectively.

For the differential equation (y^2 − 16)y' = 1/t, we can rewrite it as:

y' = 1/(t(y^2-16))

We notice that the equation is undefined at y = ±4. Therefore, the largest open rectangle in the ty-plane containing the point (t0, y0) in which the unique solution is guaranteed to exist is given by:

-4 < y < 4, t0 - ε < t < t0 + ε, where ε is a positive constant.

Since the initial condition is y(-3) = 2, we can choose ε such that the rectangle contains the point (-3, 2). For example, we can choose ε = 1.

Hence, the largest open rectangle in the ty-plane containing the point (-3, 2) in which the unique solution is guaranteed to exist is:

-4 < y < 4, -4 < t < -2.

For the differential equation (sin y)y' = 2 + cost, we can rewrite it as:

y' = (2 + cost)/sin y

The equation is undefined at y = kπ, where k is an integer. Therefore, the largest open rectangle in the ty-plane containing the point (t0, y0) in which the unique solution is guaranteed to exist is given by:

(k-1/2)π < y < (k+1/2)π, t0 - ε < t < t0 + ε, where ε is a positive constant and k is an integer.

Since the initial condition is y(0) = -π/2, we can choose ε such that the rectangle contains the point (0, -π/2). For example, we can choose ε = π/4.

Hence, the largest open rectangle in the ty-plane containing the point (0, -π/2) in which the unique solution is guaranteed to exist is:

-π < y < 0, -π/4 < t < π/4.

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Answer:

19

Step-by-step explanation:

it is 19

yes

wait no its 100000000000

I big brain UwU

Answer:

Step-by-step explanation:its 21

The number 5/8 as a decimal is 0.625

As we divide a whole into smaller parts, we get decimals. Hence, there are two parts to a decimal number: a whole number part and a fractional part. The whole component of a decimal number has the same decimal place value system as the complete number. After the decimal point, however, when we proceed to the right, we obtain the fractional portion of the decimal number.   

An informal way to read a decimal is to first read the whole number as you would any whole number, then the decimal point as "point," and finally each individual digit of the rational part.

the decimal of 5/8 is

5÷8 = 0.625

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Answer:

hope this helps 229 999 0523

117 /320 ≈ 0.366

Step-by-step explanation:

Step 1 of 1: Simplify.

Simplify

117 over 320

117

320

Step 1 of 1: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 117 and 320. The result can't be further reduced.

Answer:

0.5087

Step-by-step explanation:

i just know it...

Answer:

The answer is 3/4

Step-by-step explanation:

Answer:

B. y > 14

y which is students age is greater than 14

Using the given formula of atmospheric pressure P at an altitude of h, we obtained:

(a) P = 100 * e^(-h/7).
(b) The pressure at an altitude of 10 km is approximately 49.92 kPa

(a) The given equation is

In(P/P0) = -h/k .

Here, k = 7 and Po = 100 kPa are constants.

Solve the equation for P: We have:

In(P/P0) = -h/k ...[1]

On exponentiating both sides, we get:

P/P0 = e^(-h/k)

Multiplying both sides by P0, we get:

P = P0e^(-h/k)

So, P = 100e^(-h/7)

(b) Use part (a) to find the pressure P at an altitude of 10 km:

Put h = 10 km in the value of P derived in part (a):

P = 100e^(-h/7)

= 100e^(-10/7)P

= 43.42 kPa (rounded to two decimal places)

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The use of fractions in calculating time by breaking the total distance into smaller and equal parts

To use the properties of addition of like fractions to find the exact amount of time it takes to drive from a point to another (point A to F), we do the following

Break the total distance into smaller, equal parts and calculate the time it takes to travel each part

After that, you can add up the times it takes to travel each part to find the total time it takes to drive from point F to point F.

This works because the properties of addition of like fractions state that when you add fractions with the same denominator, you can add the numerators and keep the same denominator.

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a. One possible nonzero linear function f(x) that has a zero at x=3 is f(x) = 2x - 6.

A linear function is represented by the equation f(x) = mx + b, where m is the slope of the line and b is the y-intercept. In this case, we want the function to have a zero at x=3, which means that when x=3, f(x) should equal zero.

Let's substitute x=3 into the function f(x) = 2x - 6:

f(3) = 2(3) - 6

f(3) = 6 - 6

f(3) = 0

Since f(3) equals zero, the function satisfies the condition of having a zero at x=3.

To find this function, we can start with the general form of a linear function f(x) = mx + b and then adjust the values of m and b to meet the given condition. By setting the slope m as 2 (which determines the steepness of the line) and the y-intercept b as -6 (which determines where the line intersects the y-axis), we obtain a linear function that has a zero at x=3.

Overall, the nonzero linear function f(x) = 2x - 6 has a zero at x=3 and can be represented by the equation f(x) = 2x - 6.

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