A jet travels 460 miles in 2 hours. Atb this rate , how far could the jet fly in 11 hours? What is the rate of speed of the jet ?

Answer:

The answer is C

Step-by-step explanation:

12+8=20

Then you subtract 20 by 5

The value of ∫ (x + 1)/(9x² + 6x + 5) dx by partial fractions is 1/18ln(9x² + 6x + 5) + 1/9 (tan^-1 (3x+1)/2)

Given ∫ (x + 1)/(9x² + 6x + 5) dx

Discriminant of is 9x² + 6x + 5 is

                                 D = 6² - 4 x 9 x 5 = - 144 < 0

So, 9x² + 6x + 5 cannot be factorized in rational factors

Observing that differential of 9x² + 6x + 5, let us split (x + 1)/(9x² + 6x + 5) as (18x + 18)/18(9x² + 6x + 5)

or (18x + 6)/18(9x² + 6x + 5) + (12)/18(9x² + 6x + 5)

So, (x + 1)/(9x² + 6x + 5) = (18x + 6)/18(9x² + 6x + 5) + (12)/18(9x² + 6x + 5)

∫ (x + 1)/(9x² + 6x + 5) dx = ∫ (18x + 6)/18(9x² + 6x + 5) dx + ∫ (12)/18(9x² + 6x + 5) dx

= 1/18∫ (18x + 6)/(9x² + 6x + 5) dx + 2/3∫ 1/(9x² + 6x + 5) dx

Let us integrate the first part and assume u = 9x² + 6x + 5

then, du = (18x + 6) dx

So, 1/18∫ (18x + 6)/(9x² + 6x + 5) dx = 1/18∫ 1/u du

                                                         = 1/18 lnu

                                                         = 1/18ln(9x² + 6x + 5)

For second part, 2/3∫ 1/(9x² + 6x + 5) dx, we will use

                     ∫ dx/(x² + a²) = 1/a tan^-1(x/a) +c

For this converting denominator into the sum of two squares, we get

    2/3∫ 1/(9x² + 6x + 5) dx = 2/27∫ 1 / ((x + 1/3)²+(2/3)²) dx

Let us now substitute u = x + 1/3 and as du = dx

so, 2/27∫ 1 / ((u)²+(2/3)²) dx = 2/27 (3/2 tan^-1 (3u/2))

                                            = 1/9 (tan^-1 (3(x+1/3)/2))

                                            = 1/9 (tan^-1 (3x+1)/2)

Hence,∫ (x + 1)/(9x² + 6x + 5) dx = 1/18ln(9x² + 6x + 5) + 1/9 (tan^-1 (3x+1)/2)

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Pattern: The pattern is to start with the number 2 and repeatedly multiply each number by 2 and then add 1 until we have a sequence of 5 numbers.

Start with the number 2.

Multiply the starting number by 2: 2 * 2 = 4.

Add 1 to the result from step 2: 4 + 1 = 5. We now have the first number in our sequence.

Multiply the previous number (5) by 2: 5 * 2 = 10.

Add 1 to the result from step 4: 10 + 1 = 11. We now have the second number in our sequence.

Repeat the process: multiply the previous number by 2 and then add 1.

Multiply the previous number (11) by 2: 11 * 2 = 22.

Add 1 to the result from step 6: 22 + 1 = 23. We now have the third number.

Repeat steps 6 and 7 two more times to obtain the fourth and fifth numbers:

Fourth number: (23 * 2) + 1 = 47.

Fifth number: (47 * 2) + 1 = 95.

Thus, the pattern generates the sequence: 2, 5, 11, 23, 47, 95.

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Answer:

Step-by-step explanation:

Any cross-section of the sphere is a circle. The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle. The vertical cross-section of a cylinder is a rectangle, and the horizontal cross-section is a circle.

Answer:

64839 time is mistake for girls

Step-by-step explanation:

mark me BRAINLIEST

Answer:for school fundraiser ,you sold 33 raffle tickets and you friend sold 15 raffle tickets write the ratio of tickets you sold to tickets your friend sold as a fraction in simplest form

Answer:

12 ^ 1/2 or \(\sqrt{12}\)

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as \(\sqrt{ }\)

So the inverse of squaring 12 is

12 ^ 1/2 or \(\sqrt{12}\)

=======================================================

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

\(\sqrt{x} = x^{1/2}\)

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

\(\sqrt[n]{x} = x^{1/n}\)

which says the nth root of x is the same as x^(1/n).

Answer:

g(x) = 5ln (x-6)

Step-by-step explanation:

For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching

Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)

Now, when we shift by a certain number of units, this is particularly a translation

The kind we have here is a horizontal translation

So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value

Thus, we have the resulting function as;

g(x) = 5ln (x-6)

Answer:

16.8 cubic metres

Step-by-step explanation:

Convert it first to a cubic foot:

1 cubic foot = 6.23 gallons

x cubic foot = 3738 gallons ÷ 6.23 gallons

x = 600 cubic foot

Now convert it to cubic metres:

1 cubic foot = 0.028 cubic metres

600 cubic foot × 0.028 = x cubic metres

16.8 cubic metres = x

Answer:

y=3

Step-by-step explanation:

ANSWER: \(2t\)

EXPLANATION:

Jenny has twice the amount of what Henry has, so we just multiply Henry's number of tomatoes (t) by 2.

\(2t\)

Answer:

Answer: C. Alternate Interior Angles

Step-by-step explanation:

The picture here shows a bunch of angles, and we can see that there is one line that goes through 2 of the lines shown. That line includes all 1-8 angles. Here, we can assume that we are dealing with a pair of parallel lines, and a transversal. The one line going through 2 of the lines shown would be the transversal, and the other 2 lines would be the pair of parallel lines. For the 2 lines that are parallel with each other, there are angles taht are inbetween them, and others that are not. Angles 2, 7, 3, 6 are between the 2 parallel lines, and meaning that they are interior angles. Angles 1, 8, 4, and 5 are not inbetween the 2 parallel lines, so they are called exterior angles. We are given a list of classifications. I will tell what each of them are. Corresponding angles are angles that can be seen on the same side of the transversal, and same position. For example, angles 1 and 3. Consecutive interior angles are angles that are within the 2 parallel lines. They are just right infront of eachother, and both interior angles add up to 180 degrees. Pretty cool. For example, angles 2 and 3 are Consecutive interior angles. Alternate interior angles are angles located between the 2 parallel lines. Instead of them being right infront of eachother like Consecutive interior angles are, they are to the opposite sides. An example, angles 3 and 7 are alternate interior angles. Lastly, but not least, Alternate exterior angles are angles not between the 2 parallel lines. Just like alternate interior angles, they are on the orher side of the transveral across. An example of exterior angles are, angles 1 and 5. On with the question! Question asks for angles 2 and 6. Since they are inbetween the 2 parallel lines, they are interior angles. Crossing out option D, because it talks about exterior angles. Corresponding angles also does not work, because angles 2 and 6 are not on the same side of the transversal(not infront of each other). Corresponding angles also usually include and interior and exterios angle. With said, we can mark option A wrong. Consecutive interior angles are also wrong, the 2 interior angles are not infront of eachother, and are on opposite sides of the transversal. Leading to C Alternate Interior Angles to be the answer, I hope this helps you! Enjoy your day today. ‍⬛‍⬛‍⬛

Step-by-step explanation:

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

65.93

Step-by-step explanation:

Okay, first lets convert the money.

100 ÷ 1.43 = 69.9300699301 (69.93)

69.93 - 4 = 65.93

Ashley has 65.93 pounds.

Hope this helps! Brainliest would be appreciated. :)

The number of British pounds when Ashley changes all of her dollars to pounds will be 65.93 pounds.

Conversion means to convert the same thing into different units.

Ashley is going on a trip to London.

She saved $100.00 in spending money.

When she arrives in England, she goes to a bank to change her money into pounds.

She is told the exchange rate is 1 British pound = 1.43 American dollars.

The bank charges a fee of 4 pounds to change the money from dollars to pounds.

Convert dollars into pounds. Then the total number of pounds will be

⇒ 100 / 1.43

⇒ 69.93 pounds

The number of British pounds when Ashley changes all of her dollars to pounds will be

⇒ 69.93 pounds - bank charges a fee

⇒ 69.93 - 4

⇒ 65.93 pounds

The number of British pounds when Ashley changes all of her dollars to pounds will be 65.93 pounds.

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By using the concept of graph, it can be concluded that

When graphing a data it is very important that the independent variable is taken on the x axis and the dependent variable is taken on the y axis

First option is correct

What is graph of a function?

Graph of a function f(x) is a collection of points of the form (x, f(x)).

There are two variables- independent and dependent variables.

In a graph, two perpendicular set of axes are drawn. The horizontal axis is the x axis and the vertical axis is the y axis.

The independent variables are plotted on the x axis and the dependent variables are plotted on the y axis

When graphing a data it is very important that the independent variable is taken on the x axis and the dependent variable is taken on the y axis

First option is correct.

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a. P(E) = 0.41.

b. P(C) = 0.29.

c.  P(L) = 0.26.

d. P(E and C) = 0.22.

To determine the probabilities, we can use the given information about the percentages of passengers who check work e-mail, use a cell phone, and bring a laptop on vacation.

a. P(E) represents the probability that a traveler on vacation checks work e-mail. According to the information provided, 41% of the passengers check work e-mail. Therefore, P(E) = 0.41.

b. P(C) represents the probability that a traveler on vacation uses a cell phone to stay connected. The information states that 29% of the passengers use a cell phone. Therefore, P(C) = 0.29.

c. P(L) represents the probability that a traveler on vacation brought a laptop. The given information indicates that 26% of the passengers bring a laptop. Therefore, P(L) = 0.26.

d. P(E and C) represents the probability that a traveler on vacation both checks work e-mail and uses a cell phone to stay connected. From the information provided, it is stated that 22% of the passengers fall into this category. Therefore, P(E and C) = 0.22.

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The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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Answer:

\(x=9\)

Step-by-step explanation:

To solve the given equation:

3(x-7) = 6

We first distribute the 3 to the terms inside the parenthesis:

3x - 21 = 6

Next, we add 21 to both sides of the equation to isolate the term with the variable:

3x - 21 + 21 = 6 + 21

Simplifying, we get:

3x = 27

Finally, we divide both sides by 3 to solve for x:

3x/3 = 27/3

Simplifying, we get:

x = 9

Therefore, the solution to the equation 3(x-7) = 6 is x = 9.

Answer: x = 9

Step-by-step explanation:

3(x-7)=6

multiplying to remove brackets-

3x-21 = 6

solve equation-

3x = 27

x = 27/3

x = 9

Answer: front tear

Step-by-step explanation:

The given expression of the values of the function, f(3) - g(2) = 1

A function is a relation that relates each element of one set a unique element of another set.

If f is a function and f (x) = x+2, The  value of  f (x) at x =1 is given as f(1) and substitute 1 in place of x in the formula of f(x)

⇒ f(1) = 1+2 =3

If f(x) = 3x-4 and g(x) = x², find the value  of f(3) - g(2)

Given f(x) = 3x-4

Then value of f at x=3 ⇒ f(3) = 3(3) -4 = 9-4 = 5

And Given g(x) = x²

Then value of g at x=2 ⇒ g(2) = (2)² = 4

The value f(3) - g(2) = 5 - 4 = 1

Therefore, the value of f(3) - g(2)  is 1.

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There are two stiff transforms to use:

The fact that the real domain is the domain of quadratic functions makes it possible to identify the solution set.

Thus, we must decide which rigid transformations to apply to f(x) in order to produce g(x). Rigid transformations are transformations applied to geometric loci in the field of Euclidean geometry so that Euclidean distances within the latter are conserved (x).

Following thorough consideration, we come to the conclusion that the two stiff transformations listed below must be used:

Vertical translation 7 units to the plus side.

reflection along the y = 5 line.

The collection of x-values necessary for the function to exist is represented by the solution set.  Due to the fact that both functions are quadratic equations, the entire real domain is described by their solutions.

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Answer:

5 = 5

Explanation:

Answer:

0.13 in²

Step-by-step explanation:

Given that,

→ Diameter = 0.4 in

→ Radius (r) = 0.4/2 = 0.2

Formula we use,

→ πr²

The area of the circle will be,

→ πr²

→ (22/7) × 0.2 × 0.2

→ 0.12571428571

→ [ 0.13 in² ]

Hence, area of circle is 0.13 in².

Answer:

Answer: 0.3 square inches

Step-by-step explanation:

The formula to find the area of a circle is

\(area \: of \: circle \: = \pi {r}^{2}\)

Let pi be (3.14), the radios as given in the question is (0.4 ÷ 2 = 0.2). Therefore;

\(\pi {r}^{2} = \\ (3.14) \: {(0.2)}^{2} \\ 3.14 \times 0.04 = \\ 0.1256\: or \: 0.13\: {inches}^{2}\)

Step-by-step explanation:

                                              Multiply and divide with 2Sin(π/7)...

By The formula Sin(2A)=2Sin(A).Cos(A)...

you can simplify.....

and soon you will get -1/8

Answer:

Hello!

Step-by-step explanation:

Theoretical probability is what's expected to happen

Experimental probability is what's happen based on the experiment

Daisy gets 20 cats delivered to her shelter in the last month She expects to get 20 this month based on the theoretical probability but she actually gets 15 cats this month so her theoretical probability was 5 more then her experimental probability Hope that helps!

The solution is:

The x-coordinate (or t-coordinate) of the vertex is 15 seconds and represents the time at which the rocket reaches its maximum height.

The y-coordinate (or h-coordinate) of the vertex is 3600 feet and represents the maximum height reached by the rocket.

Here,

We have,

A function can be thought of as a machine that takes in input values, applies a set of rules or operations to them, and produces an output value. The input values can be any set of numbers or other objects that the function is defined for, and the output values can be any set of numbers or objects that the function can produce.

we know that,

To find the x-coordinate (or t-coordinate) of the vertex, we can use the formula:

x = -b / (2a)

where a is the coefficient of the squared term, b is the coefficient of the linear term, and x represents the time at which the rocket reaches its maximum height. The equation of the parabolic function that models the height of the rocket is:

h = at² + bt + c

where h is the height of the rocket at time t.

Here, we have,

from the given graph we get,

The x-coordinate (or t-coordinate) of the vertex is 15 seconds and The y-coordinate (or h-coordinate) of the vertex is 3600 feet.

Hence,

The x-coordinate (or t-coordinate) of the vertex is 15 seconds and represents the time at which the rocket reaches its maximum height.

The y-coordinate (or h-coordinate) of the vertex is 3600 feet and represents the maximum height reached by the rocket.

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From the given vertices, the area of the polygon is 28.

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: base and height. Due to its characteristics, the rectangle presents two bases (B) and two heights (H).

The area of a rectangle is given by the multiplication between the base and the height.

First, you should plot the points, then see image 1.

From the figure, it is possible to see that the bases ( AB and CD) = 5-3=2

and heights (AC and BD) =-7-(-7)=7+7=14. Thus,

A= B*H= 2*14=28

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