Find the general solution of the differential equation or state that the differential equation is not separable. (Enter NOT SEPARABLE if the equation is not separable.) yy' = = 8x

Answer:

$36 is the retail price

The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

Answer:

85j-6/5j

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

calculator

:)

Answer:

The value of x is 70°

Step-by-step explanation:

(2x – 5)° + 45° = 180°

2x – 5° + 45° = 180°

2x + 40° = 180°

2x + 40° – 40° = 180° – 40°

2x = 140°

2x/2 = 140°/2

x = 70°

Thus, The value of x is 70°

-TheUnknownScientist 72

Answer:

BElabora un esquema y resuelve el problema.​

Step-by-step explanation:

Answer:

Population

Step-by-step explanation:

The sample is taken from the population

Each test question should be the part of the population.

A population in terms of statistics refers to a group of people that could be identified for the motive of data collection and analysis. To received the information about a large population, data should be normally gathered from a sample.

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Answer:

A

Step-by-step explanation:

How many students are in Lucy’s school? Is the correct answer :D

tan(41π/36) can be written in terms of the tangent of a positive acute angle as (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

To express tan(41π/36) in terms of the tangent of a positive acute angle, we need to find an angle within the range of 0 to π/2 that has the same tangent value.

First, let's simplify 41π/36 to its equivalent angle within one full revolution (2π):

41π/36 = 40π/36 + π/36 = (10/9)π + (1/36)π

Now, we can rewrite the angle as:

tan(41π/36) = tan((10/9)π + (1/36)π)

Next, we'll use the tangent addition formula, which states that:

tan(A + B) = (tan(A) + tan(B)) / (1 - tan(A)tan(B))

In this case, A = (10/9)π and B = (1/36)π.

tan(41π/36) = tan((10/9)π + (1/36)π) = (tan((10/9)π) + tan((1/36)π)) / (1 - tan((10/9)π)tan((1/36)π))

Now, we need to find the tangent values of (10/9)π and (1/36)π. Since tangent has a periodicity of π, we can subtract or add multiples of π to get equivalent angles within the range of 0 to π/2.

For (10/9)π, we can subtract π to get an equivalent angle within the range:

(10/9)π - π = (1/9)π

Similarly, for (1/36)π, we can add π to get an equivalent angle:

(1/36)π + π = (37/36)π

Now, we can rewrite the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Since we are looking for an angle within the range of 0 to π/2, we can further simplify the expression as:

tan(41π/36) = (tan((1/9)π) + tan((37/36)π)) / (1 - tan((1/9)π)tan((37/36)π))

Therefore, tan(41π/36) can be written in terms of the tangent of a positive acute angle as the expression given above.

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Answer:

4

Step-by-step explanation:

\(4^{x}=256\)

\(4*4*4*4=256\)

Answer:

lol

Step-by-step explanation:

l+o+l sry i had to

The unit circle is the circle centered at with radius The unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions

The unit circle is a circle that is centered at the origin (0, 0) of a coordinate plane and has a radius of 1 unit. In other words, it is a circle with a diameter of 2 units.

The unit circle is particularly significant in mathematics, especially in trigonometry. Its properties and relationships with angles are extensively used in various mathematical applications.

One of the main reasons the unit circle is so important is due to its connection with the trigonometric functions sine and cosine. As an angle rotates around the origin,

the coordinates of the point on the unit circle where the terminal side of the angle intersects the circle correspond to the values of sine and cosine of that angle.

For example, if an angle of 30 degrees is measured counterclockwise from the positive x-axis, the coordinates of the corresponding point on the unit circle would be (√3/2, 1/2), which are the values of sine and cosine for that angle.

Additionally, the unit circle provides a convenient way to visualize and understand other trigonometric functions such as tangent, cotangent, secant, and cosecant.

By examining the ratios of the coordinates on the unit circle, we can relate these trigonometric functions to the lengths and angles associated with right triangles.

In summary, the unit circle is a circle centered at the origin with a radius of 1 unit. It plays a fundamental role in trigonometry, providing a geometric representation of the trigonometric functions and aiding in the understanding of angles, ratios, and relationships within the field of mathematics.

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Answer:

$840 dollars

Step-by-step explanation:

Divide 540 by 9 to get the cost of 1 book then multiply it by 14

Answer:

$840

Step-by-step explanation:

\(\frac{14}{9}: \frac{y}{540}\)

y × 9 = 540 × 14

9y = 7560

9y ÷ 9 = 7560 ÷ 9

y = 840

wowowoowowowowowowowow

The number of weeks it will take Isla to complete her assignments is 2.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Number of assignments=27

Time needed by isla=2.5 hrs

hour limit per day=5

Now,

To find out how many hours Isla will spend on her English assignments, we can multiply the number of assignments by the time it takes her to complete each assignment:

27 assignments * 2.5 hours per assignment = 67.5 hours

So Isla will spend a total of 67.5 hours on her English assignments.

To find out how many days it will take Isla to complete her assignments, we need to divide the total number of hours by the number of hours she can work per day:

67.5 hours / 5 hours per day = 13.5 days

Since Isla cannot complete a fraction of a day, she will need to round up to 14 days. So it will take Isla 14 days to complete her assignments.

To find out how many weeks it will take Isla to complete her assignments, we need to divide the total number of days by the number of days per week. Assuming a standard 7-day week, we have:

14 days / 7 days per week = 2 weeks

Therefore, by unitary method the answer will be 2 weeks.

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Answer:

\( \tan(C) = \frac {55}{48}\)

Step-by-step explanation:

By Pythagoras Theorem:

\(BC = \sqrt{ {73}^{2} - {55}^{2} } \\ \\ = \sqrt{2304} \\ \\ = 48 \\ \\ \tan(C) = \frac {BD}{BC} \\ \\ \tan(C) = \frac {55}{48} \\ \\ \)

Answer:

9

Step-by-step explanation:

Given data

Ride ticket= $2

Admission= $7

Amount= $25

We want to find the greatest number of rides

let the number of rides be x

The expression to describe how she spends the amount is given as

y=7+2x

for y= 25, let us find x

25= 7+2x

25-7= 2x

18=3x

x= 18/2

x= 9

Hence the number of rides is 9

Answer:

$653

Step-by-step explanation:

788 - 135 = 653

Answer:

653..too easy

Step-by-step explanation:

788

-135

653

The solution will be that the home-decorating company will require 42 yards of fabric for the customer's window treatments.

As per the information we have received from the question,

A single window requires 13 yards and a double window requires 16 yards of fabric. We are asked to find out the length of fabric that will be required by the home-decorating company, in case there were 2 single windows and 1 double window. The total amount of fabric that will be required by the home-decorating company is hence equal to

13×(no of single windows)+ 16×(no of double windows)

Here, no of single windows= 2

And, no of double window= 1

Hence, total fabric length=13×2 + 16×1=26 + 16=42 yards

Hence the solution is 42 yards of fabric.

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Answer:

two ratios

Step-by-step explanation:

you need two to be able to solve it

Answer:

2 ratios

Step-by-step explanation:

The constant c which produces a solution that also satisfies the initial condition y(6) = 7 is c = -1044.

Given the function y = x^2 + c/x^2 and the equation xy' + 2y = 4x^2 with the initial condition y(6) = 7, we will first find the derivative of y with respect to x and then substitute the function and its derivative into the equation to find the constant c.

The derivative of y with respect to x is:
y' = d/dx (x^2 + c/x^2) = 2x - 2c/x^3

Now, substitute the function y and its derivative y' into the equation:
x(2x - 2c/x^3) + 2(x^2 + c/x^2) = 4x^2

Simplify the equation:
2x^2 - 2cx + 2x^2 + 2c = 4x^2

Combine like terms:
4x^2 - 2cx + 2c = 4x^2

Now, we can cancel out the 4x^2 terms:
-2cx + 2c = 0

Factor out 2c:
2c(-x + 1) = 0

Since c cannot be zero, we can divide by 2c on both sides:
-x + 1 = 0

Solving for x, we get x = 1. Now we can use the initial condition y(6) = 7:
7 = 6^2 + c/6^2

Simplify and solve for c:
7 = 36 + c/36
c/36 = -29
c = -29 * 36

Therefore, the constant c which produces a solution that also satisfies the initial condition y(6) = 7 is c = -1044.

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The probability of exactly 5 boys in 8 births with a probability of 0.512 for a boy is approximately 0.281, or 28.1%.

The probability of exactly 5 boys in 8 births can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * \(p^k\) * \((1 - p)^{(n - k)\)

where X is the random variable representing the number of boys, n is the number of births, p is the probability of having a boy in a single birth, and k is the specific number of boys we want to calculate the probability for.

In this case, we want to find the probability of exactly 5 boys, so we plug in n = 8, p = 0.512, and k = 5:

P(X = 5) = \((8 choose 5) * 0.512^5 * (1 - 0.512)^{(8 - 5)\)

= 0.281

Therefore, the probability of exactly 5 boys in 8 births with a probability of 0.512 for a boy is approximately 0.281, or 28.1%.

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Complete Question:

With n=8 births and the probability of having a boy p=0.512: If the requirements for using the normal approximation for the binomial distribution are met, calculate the probability of having P(exactly 5 boys). If the requirements are not met, state "Normal approximation should not be used" O 0.61 O 0.23 O None of these O Normal approximation should not be used O 0.83 O 0.77

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Answer:

(3x - 4y) divided by 7z

Step-by-step explanation:

hope this helps and have a great night :)

Answer:

The slope of the line is 4.

Step-by-step explanation:

\(slope=\frac{y_2-y_1}{x_2-x_1}\) when the points given are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug the given points (1,12) and (2,16) into the equation

\(slope = \frac{16-12}{2-1}\\slope =\frac{4}{1} \\slope=4\)

I hope this helps!

All of the methods mentioned, i.e., bar chart, pie chart, and relative frequency table are valid ways to summarize or visualize categorical variables. Option D.

They are commonly used in data analysis to gain insights into the distribution and proportion of different categories within a dataset.

A bar chart is a graphical representation of data that uses rectangular bars to display the frequency or proportion of different categories. It is useful in comparing the frequencies of different categories and identifying the most common or rare categories.

A pie chart is another graphical representation of data that uses slices of a circle to display the relative frequency or proportion of different categories. It is useful in showing the proportion of each category in relation to the whole.

A relative frequency table is a tabular representation of data that displays the frequency and proportion of each category. It is useful in comparing the frequencies and proportions of different categories and identifying the most common or rare categories.

Therefore, none of the options given would be an invalid way to summarize or visualize categorical variables. The choice of which method to use depends on the nature of the data and the purpose of the analysis.

It is important to choose a method that effectively communicates the information being presented and is appropriate for the audience. So Option D is correct.

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Note the correct question is

Which of the following would NOT be a valid way to summarize or visualize a categorical variable? Choose the correct answer below

A.)Bar chart

B.)Pie chart

C.)Relative frequency table

D.)None of the above

The first term is 4, and to get the next term, we multiply the previous term by 2. So we can write the recursive formula as a(n) = 2 * a(n-1)

Having a common ratio of 2, the provided sequence is geometric. The first term is 4, and the prior term is multiplied by two to obtain the following term. The recursive algorithm can be expressed as follows:

a(n) = 2 * a(n-1)

where a(n) is the sequence's nth term and a(n-1) is its previous term.

Additionally, we can generate the terms of the sequence recursively using the starting value of a(1) = 4:

a(1) = 4

a(2) = 2 * a(1) = 2 * 4 = 8

a(3) = 2 * a(2) = 2 * 8 = 16

a(4) = 2 * a(3) = 2 * 16 = 32.

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