Use the method for solving Bernoulli equations to solve the following differential equation. dy dx **=6x?y? Ignoring lost solutions, if any, the general solution is y= (Type an expression using x as the variable.)

The equation is given as C=0.33m+20 where m is the number of miles and C is the cost in dollars.

a. The cost when number of miles is 0.

C=0.33(0)+20=20 dollars.

b. The cost when number of miles is 500 miles.

C=0.33(500)+20=185 dollars.

c. According to the equation given the slope is 0.33 and intercept is 20 from comparing with the general equation y=mx+c.

So the correct option is d.

d. The graph of the given function is

Hence the correct option is d.

Answer:

the explanation is in the picture

The probability he will get at least 2 hits in the game is 0.470

The batting average is 0.229

In one game he gets 5 at bat

To find the probability he will get at least 2 hits we use binomial distribution.

The binomial distribution is also a Frequency distribution used for the possible no. of successful outcomes in a given no. of trials in each of which there is the same probability of success.

So we have

n = 5

p = 0.299

q = 1 - p

   = 0.701

\(P(X) = nC_{x} p^x q^(n-x)\)

P(at least 2 hits in the game) = 1 - P(less than 2 hits)

= 1 - P(0) - P(1)

\(= 1 - 0.701^5 - 5C1 x 0.299 x 0.701^4\)

= 1 - 0.169 - 0.361

= 0.470

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Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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Answer:

y = - \(\frac{1}{2}\) x - 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

y = - \(\frac{1}{2}\) x + 6 ← is in slope- intercept form

with slope m = - \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

slope of parallel line = - \(\frac{1}{2}\)

the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2

y = - \(\frac{1}{2}\) x - 2 ← equation of parallel line

The measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees

To find the measure of the angle to the nearest degree given trigonometric ratios, we can use inverse trigonometric functions.

Here are the steps to determine the angles:

a) sin A = 0.6018

Taking the inverse sine (arcsin) of both sides:

A = arcsin(0.6018)

Using a calculator, we find A ≈ 36 degrees (rounded to the nearest degree).

b) cos B = 0.9205

Taking the inverse cosine (arccos) of both sides:

B = arccos(0.9205)

Using a calculator, we find B ≈ 23 degrees (rounded to the nearest degree).

c) tan C = 0.0349

Taking the inverse tangent (arctan) of both sides:

C = arctan(0.0349)

Using a calculator, we find C ≈ 2 degrees (rounded to the nearest degree).

Therefore, the measures of the angles to the nearest degree are:

a) A ≈ 36 degrees

b) B ≈ 23 degrees

c) C ≈ 2 degrees.

Note: Trigonometric functions have periodicity, meaning there may be multiple angles with the same trigonometric ratio.

To determine the principal angle within a specific range, we use the inverse trigonometric functions.

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Answer:

\( \frac{1}{4} \)

Step-by-step explanation:

25/100

divide both sides with 25

\( \frac{25 \div 25 }{100 \div 25} \)

simplify

= 1/4

Answer:

1/4

Step-by-step explanation:

Find HCD (Highest Common Factor) for both numerator and denominator.

The HCF for 25 and 100 is 25

Now divide the numerator and denominator by 25  

(25/25) / (100/25)

1/4

And Viola, you got your simplified form!

9514 1404 393

Answer:

  V = (x)(10-2x)² . . . . factored form

  V = 4x³ -40x² +100x . . . . standard form

Step-by-step explanation:

A square with corners cut out has no volume. It is a plane figure.

__

We presume you are interested in the volume of the open-top box obtained by folding up each "ear" of the cut figure. The length of each side of its square bottom is 10-2x. The depth of the box is x. So, the volume is ...

  V = LWH = (10-2x)(10-2x)(x)

  V = x(10 -2x)²

_____

The graph shows the volume is a maximum when x = 1 2/3 cm.

This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.

Step-by-step explanation:

Orlando's number of apps = 22

Maria's number of apps = 7

Given,

Maria has 15 fewer apps on her phone than Orlando.

The total number of apps on both phones is 29.

We need to find out how many apps are on each phone.

- M fewer than N by 2

This means if N = P then M = P - 2

- M more than N by 2

This means if N = P then M = P + 2

We have,

Total number of apps = 29 _____(1)

Maria has 15 fewer apps on her phone than Orlando.

We can write this as:

Orlando's number of apps = O.

Now,

Maria's number of apps = O - 15

Now,

From (1)

Orlando's number of apps + Maria's number of apps = 29

O + O - 15 = 29

2O - 15 = 29

2O = 29 + 15

20 = 44

O = 44/2

0 = 22

Orlando's number of apps = 22

Maria's number of apps = 22 - 15 = 7

Thus,

Orlando's number of apps = 22

Maria's number of apps = 7

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Discount: 55%

Sales tax: 6%

Original price: $48

First, we find the discount price. If the discount is 55% of $48, the discount price will be 45% of $48:

In right triangle ACB with CD bisects angle ACB and intersects at midpoint of AB at point D the value of x is equal to 5.625.

In right triangle ABC,

BC is the base.

Midpoint of AB is D.

CD bisects ACB.

Measure of ∠ACD = Measure of ∠BCD

AC = 4

BC = 7.5

AD = 3

BD = x

CD bisects angle ACB and intersect at midpoint of AB at point D.

This implies

BD / AD = BC / AC

⇒x / 3 = 7.5 / 4

⇒ x = ( 7.5 × 3 ) / 4

⇒ x = 22.5 / 4

⇒ x = 5.625

Therefore, the value of x in the right triangle ACB with given dimensions is equal to 5.625.

The above question is incomplete , the complete question is :

What is the value of x? Enter your answer, as a decimal, in the box. x= A right triangle with vertices labeled as A, B, and C. Side C B is the base and the top vertex is A. Side A B contains a midpoint D. A line segment drawn from C to D bisects angle A C B into two parts labeled as A C D and B C D. Angles A C D and B C D are marked with single arc. Side A C is labeled as 4. Base C B is labeled as 7.5. Segment A D is labeled as 3. Segment B D is labeled as x.

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Answer:

Step-by-step explanation:

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

For a. the balloon starts at -4

for B. your adding something to the balloon

For c. your adding 7 to -4

for D. the balloon ends up and 3

Answer:

x = -6

y = 3

Step-by-step explanation:

Since we are given what x equals, we will plug that in first to the second equation.

(-3y+3) - 3y = -15

Solve by combining like-terms and isolating y.

-6y + 3 = -15

-6y = -18

y = 3

Now plug in y to the first equation to solve for x.

x = -3(3) + 3

x = -9 + 3

x = -6

Answer:

x+y= 90

x+ y/2= 65

90-65= 25

y= 2*25= 50

x=40

Step-by-step explanation:

Answer:

The correct answer is a.

Step-by-step explanation:

The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

The incorrect statement is the reflection is over x-axis.

Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,

A reflection is known as a flip.

A reflection is a mirror image of the shape.

An image will reflect through a line, known as the line of reflection.

A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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The incorrect statement is the reflection is over x-axis.

Given that,

an image has been reflected to form another image, we need to find the incorrect statement from the given options,

So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,

Also, the orientation of the image is preserved.

Since, the transformation is reflection, so the image and pre-images are congruent.

Hence, the incorrect statement is the reflection is over x-axis.

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Answer: 7

Step-by-step explanation:

We can use the Pythagorean theorem (a^2+b^2=c^2) so 25^2=625, and 24^2=576

576+b^2=625 b^2=49 b - (a)=7

A pipe whose diameter measures 1 1/4 inches should have less threads per inch than a pipe with a diameter of 11/2 inch. So, the correct answer is (D).

To determine the correct answer, we need to compare the diameters of the two pipes and understand the relationship between pipe diameter and threads per inch.

The number of threads per inch generally decreases as the pipe diameter increases. This means that a larger pipe diameter will have fewer threads per inch compared to a smaller pipe diameter.

Given that the first pipe has a diameter of 1 1/4 inches, we need to find the pipe diameter from the options that is larger than 1 1/4 inches.

The option that meets this requirement is D. 11/2. This represents a pipe diameter of 1 1/2 inches. Therefore, a pipe with a diameter of 1 1/2 inches should have fewer threads per inch than a pipe with a diameter of 1 1/4 inches. Therefore, the correct answer is D. 11/2.

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Answer:

32 students

Step-by-step explanation:

24 divided by .75 is 32

Based on the information given, there'll be 32 students.

Let the total number of students be represented by x.

From the information, it was stated that 75% of the students are boys and that there are 24 boys. Therefore, the total number of students will be:

75% × x = 24

0.75x = 24

x = 24/0.75

x = 32

There are 32 students.

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The number line that shows the solutions of x < 5

A number line is a visual representation of the real numbers, ordered from left to right, with zero in the middle. It is typically a straight line that extends infinitely in both directions, with evenly spaced markings that represent specific points along the line.

The solution of x < 5 should consist of number less than 5

The inequality used is less than and hence should have values saying less than

Other options has numbers more than 5 such as 6 except option B

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Answer:

B

Step-by-step explanation:

they absorb nutrients from dead or decaying organic matter

Answer:

  A.  (2, 1)

Step-by-step explanation:

You want the solution to the system of equations represented by the given table and graph.

When we are given two functions and asked for "the solution to the system", we generally mean the value of x that satisfies f(x) = g(x). That will be represented on a graph as the point (x, f(x)), or (x, g(x)), where the function graphs intersect.

When you're looking for the solution in a table, you look for the row of the table where the value of f(x) is the same as the value of g(x). For the given table, we see that f(x) = g(x) = 1 on the last row of the table, where x=2. This means the solution is ...

  (x, f(x)) = (2, 1)

Answer:

x = -5

Step-by-step explanation:

Answer:

  x = -5

Step-by-step explanation:

You want the solution to the equation 2x -10 = 4x.

Subtracting 2x from both sides gives ...

  -10 = 2x

Dividing both sides by 2 gives ...

  -5 = x

The solution is x = -5.

__

Additional comment

When all of the coefficients have a common factor, sometimes we like to divide the equation by that factor. Here, all of the coefficients are even, so we can start by dividing the equation by 2:

  x -5 =2x

Now subtracting x gives the solution:

  -5 = x

It still takes 2 steps, so the approach you take will be the one you're most comfortable with.

<95141404393>

Answer:

y = 5

Step-by-step explanation:

\(14y-7y=35\\7y=35\\y=5\)

14 minus 7 is 7

7Y is equal to 35

divide both sides by 7 is equal to 5

Answer:

Obtuse-Scalene Triangle

Step-by-step explanation:

Khan Academy

Answer:

6.3% chance

Step-by-step explanation: