Describe the end behavior of the graph of the function f(x) equals minus 5 4X -2 for affinity type in the word infinity four minus infinity typing minus infinity -followed by the word infinity. Make sure that you type in the word infinity with a lowercase i

     \(I=\displaystyle \int \dfrac{\sqrt x}{\sqrt x -4} ~dx\\\\\text{Let,}\\\\~~~~u=\sqrt x-4\\\\\implies \dfrac{du}{dx} = \dfrac d{dx} \left( \sqrt x -4 \right)\\\\\implies \dfrac{du}{dx} = \dfrac 1{2 \sqrt x} \\\\\implies dx =2\sqrt x~ du\\\\\\I= \displaystyle \int \dfrac{u+4}{u+4 -4 } 2(u+4) du\\\\\\~~~=2\displaystyle \int \dfrac{(u+4)^2}{u} du\\\\\\~~~=2\displaystyle \int \dfrac{u^2+ 8u+16}{u} du\\\\\\~~~=2\displaystyle \int \left(u+8+\dfrac{16}u\right) du\\\\\\\)

    \(~~~=2\left(\displaystyle \int u ~ du + \displaystyle \int 8 ~ du + \displaystyle \int \dfrac{16} u ~ du\right) \\\\\\~~~=2\left( \dfrac {u^2}2 + 8u+16\ln |u| \right) +C\\\\\\~~~~= u^2 + 16u+ 32 \ln |u|+C\\\\\\~~~~=\left( \sqrt x -4 \right)^2 + 16\left( \sqrt x -4 \right) +32 \ln |\sqrt x -4|+C\\\\\\~~~~= x-8\sqrt x+16 +16\sqrt x -64 +32 \ln \left|\sqrt x-4 \right|+C\\\\\\\~~~~=x+8\sqrt x -48 +32\ln|\sqrt x -4| +C\)

Answer:

m = 4

Step-by-step explanation:

Solve:

-Chetan K

Answer:

15

Step-by-step explanation: trust me i have had the before

Answer:

Time taken for both hikers to be at the same elevation = 14 minutes

At that time, they will both be at an elevation of 270 feet

Step-by-step explanation:

Let us represent Jenny's current elevation by x and Julian's current elevation by y

Let T be the time taken when the hikers reach the same elevation

For Jenny

For Julian

Check working
After 14 minutes, Jenny's elevation = 480 - 15 x 14 = 480 = 210 = 270 feet

After 14 minutes, Julian's elevation = 200 + 5 x 14 = 200 + 70 = 270 feet

So it checks out

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :    ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

        ......[2]

     ......[3]

Divide equation [3] by [2] we have;

Simplify:

Now substitute this value in equation [2] we get;

Divide both sides by 5 we get;

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function y=5^x

Answer:

hi bro how are yuo join this meeting i will say you ans

Step-by-step explanation:

Answer:

Part A: 27.32

Part B: 4.92

Step-by-step explanation:

25.30*.08(or 8%) is equal to 2.024

25.30+2.024=27.324=27.32

32.24-27.32=4.92

Given:

(a) P = $5000

t = 10 years

r = 4%

(b) P = $20,000

t = 25 years

r = 3%

(c) P = $5000

t = 20 years

r = 3.5%

(d) P = $5000

t = 10 years

r = 1.5%

(e) P = $5000

t = 10 years

r = 0.8%

(f) Compare the result of (a) and (c).

Required:

(a) Find the amount when interest is compound annually.

(b) To find the total amount after 25 years.

(c) Find the amount when interest is compound annually.

(d) Find the amount when interest is compound quarterly.

(e) Find the amount when interest is compound continuously.

Explanation:

The compound interest formula is given as:

Where p =principal amount

r = rate of interest

n = compound frequency

t = time period in years

(a)

Answer:

i'm going to be honest and say sorry if i its wrong but

i think its 27 - 9x  

and ageing sorry if its wrong

Step-by-step explanation:

Answer:

Ok... I hope this is correct

Step-by-step explanation:

Let M be the capped cylindrical surface which is the union of two surfaces, a cylinder given by x^(2)+y^(2)=16

Center:  ( 0 , 0 )

Vertices:  ( 4 , 0 ) , ( − 4 , 0 )

Foci:  ( 4 √ 2 , 0 ) , ( − 4 √ 2 , 0 )

Eccentricity:  √ 2

Focal Parameter:  2 √ 2

Asymptotes:  y = x ,  y = − x

Then 0≤z≤1, and a hemispherical cap defined by x^2+y^2+(z−1)^2=16, z≥1.

Simplified

0 ≤ z ≤ 1 , x ^2 + y ^2 + z ^2 − 2 ^z + 1 = 16 , z ≥ 1

For the vector field F=(zx+z^2y+4y, z^3yx+3x, z^4x^2), compute ∬M(∇×F)⋅dS in any way you like.

Vector:

csc ( x )  ,  x = π

cot ( 3 x )  ,  x = 2 π 3

cos ( x 2 )  ,  x = 2 π

Since  

( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x ^2 )  is constant with respect to  F , the derivative of  ( z x + z ^2 y + 4 y , z ^3 y x + 3 x , z ^4 x 2 )  with respect to  F  is  0 .

The probability of the sample mean being between 390 grams and 399 grams is 0.3845.

What is the definition of probability?

Probability is a measure of likelihood of an event to occur. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

If we flip a fair coin, the chance of receiving heads is 0.5 (or 50%) since there are only two potential outcomes, both of which are equally likely. Similarly, the likelihood of getting a 4 on a fair six-sided dice is 1/6 or about 0.167 (or 16.7%).

Now,

To solve this problem, we can use the central limit theorem, which states that the sample mean of a large enough sample will be approximately normally distributed, regardless of the distribution of the population.

The sample size of 10 is large enough to apply the central limit theorem, and we can use the formula for the standard error of the mean:

SE = σ / √(n)

Plugging in the values given in the problem, we get:

SE = 28 / √(10) ≈ 8.85

z = (x - μ) / SE

Where x is the sample mean, μ is the population mean, and SE is the standard error of the mean calculated above.

For the lower bound of 390 grams:

z = (390 - 396) / 8.85 ≈ -0.678

For the upper bound of 399 grams:

z = (399 - 396) / 8.85 ≈ 0.339

Using a standard normal distribution table or calculator, we can find the probabilities associated with these z-scores.

The probability of the sample mean being less than 390 grams is approximately 0.2486, and the probability of the sample mean being less than 399 grams is approximately 0.6331.

Therefore,

                 the probability of the sample mean being between 390 grams and 399 grams is:

0.6331 - 0.2486 ≈ 0.3845.

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According to the given data we have the following:

Length of side a=100 ft

Lenght of side b=140 ft

Height of side h=40 ft

In order to calculate the area of this trapezoid we would have to make the following calculation:

area of this trapezoid=(a + b)/2)h

area of this trapezoid=(100+140)/2)40

area of this trapezoid=120*40

area of this trapezoid=4,800

Answer:

6ft

Step-by-step explanation:

first you need to properly provide your work

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

m=8

Step-by-step explanation:

-5m=-40

divide both side by -5

-5m=-40

-5=-5 answer is m=8

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer: The Answer is B the second one.

Step-by-step explanation:

Answer:

it's C

Explanation:

let's bear in mind that complex roots never come alone, their conjugate sister is always with her, so if we have the complex root of "i" or namely "0 + i", her conjugate is also coming along, or "0 - i", so we really have four roots, so

\(\begin{cases} x = 0+i &\implies x -i=0\\ x = 0-i &\implies x +i=0\\ x = \sqrt{2} &\implies x -\sqrt{2}=0\\ x = 3 &\implies x -3=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = \stackrel{0}{y}}\hspace{5em}\stackrel{\textit{we are assuming that}}{a=1} \\\\\\ 1( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y\implies ( x -i )( x +i )( x -\sqrt{2} )( x -3 ) = y \\\\[-0.35em] ~\dotfill\)

\(\stackrel{ \textit{difference of squares} }{( x -i )( x +i )}\implies x^2 - i^2\implies x^2-(-1)\implies x^2+1 \\\\[-0.35em] ~\dotfill\\\\ (x^2+1)( x -\sqrt{2} )( x -3 )\implies (x^2+1)(x^2-3x-x\sqrt{2}+3\sqrt{2}) \\\\\\ (x^2+1)[x^2-x(3+\sqrt{2})+3\sqrt{2}] \\\\\\ x^4-x^3(3+\sqrt{2})+3x^2\sqrt{2}+x^2-x(3+\sqrt{2})+3\sqrt{2} \\\\\\ \boxed{x^4-x^3(3+\sqrt{2})+x^2(3\sqrt{2}+1)-x(3+\sqrt{2})+3\sqrt{2}~~ = ~~y}\)

Answer:

\(P = A - I\)

Step-by-step explanation:

Answer:

x=112

Step-by-step explanation:

First, let's get all of the fractions to a common denominator.

Based on the numbers given (8,56, and 7), let's make all of the denominators be 56

for \(\frac{-7}{8} x\), multiply the numerator and denominator by 7.

\(\frac{-7x}{8}\)×\(\frac{7}{7}\)= \(\frac{-49}{56} x\)

we can leave \(\frac{-5}{56}x\) as it is

and for \(\frac{1}{7} x\), we cam multiply the numerator and denominator by 8

\(\frac{1x}{7}\)×\(\frac{8}{8}\)=\(\frac{8x}{56}\)

Here's the equation now:

\(\frac{-49x}{56}\)-\(\frac{5x}{56}\)+\(\frac{8x}{56}\)=-92

now simlify the fractions

numerators:

-49x-5x+8x=-46x

here's the fraction now:

\(\frac{-46x}{56}\)=-92

We can simplify the fraction by 2 so it's \(\frac{-23x}{28}\)

\(\frac{-23x}{28}\)=-92

now multiply both sides by \(\frac{28}{-23}\), which is the reciprocal of \(\frac{-23}{28}\) (to isolate the variable)

\(\frac{28}{-23}\)×\(\frac{-23x}{28}\)=-92×\(\frac{28}{-23}\)

\(\frac{-92*28}{-23}\)

x=112

Hope this helps!

Answer:

x = 112

Step-by-step explanation:

The common denominator is 56 because 8*7 is 56

\(-\frac{7*7*x}{8*7} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\-\frac{49*x}{56} -\frac{5*x}{56}+\frac{8*x}{56} = - 92 \\\frac{-46*x}{56}=-92\)

Multiply both sides by 56

-46*x = -92 * 56

-46*x = -5152

Divide by - 46

x = -5152/-46

x = 112

Answer:it is A or D

Step-by-step explanation:

Answer:

Knowing that 1 elephant and 2 horses were as strong as 6 horses, I removed 2 horses from both sides of this situation, leaving me with the fact that 1 elephant is as strong as 4 horses.

Step-by-step explanation:

pls give me brainleast

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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9514 1404 393

Answer:

  (4)  9

Step-by-step explanation:

The product of the segment lengths of each chord is the same.

  LO×OK = MO×ON

  ON = LO×OK/MO = 3×3/1

  ON = 9

Answer:

<WXV and <YXZ, <W and <Y

Step-by-step explanation:

ASA stands for Angle Side Angle. You need two corresponding congruent sides and two pairs of congruent corresponding angles that border it.

Looking at XY, we can see the two angles that border it are <YXZ and <Y.

<WXV and <W are the angles that correspond with those two angles.

Answer:

uál es el pr

Step-by-step explanation:

Answer:

card 7 was removed

Step-by-step explanation:

This is so easy if you just do it one step at a time.

Anyway,

2 + 5 + 8 + 9 = 24

24 / 4 = 6

The asked consecutive even integers are -4,-2,0,2

Consecutive integers are whole numbers that follow each other without gaps. For example, 15, 16, 17 are consecutive integers.

Given that, what are four consecutive even integers if the first integer is −4

We know that, Consecutive even integers are even integers that follow each other, and they differ by 2. If x is an even integer, then x + 2, x + 4 and x + 6 are consecutive even integers.

Therefore, here x = -4,

-4+2 = -2

-4+4 = 0

-4+6 = 2

Hence, the asked consecutive even integers are -4,-2,0,2

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The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:

Average rate of change = (Change in enrollment) / (Change in time)

The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.

Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:

Change in enrollment = 730 - 975 = -245 students

The change in time can be calculated as:

Change in time = 2009 - 2004 = 5 years

Now we can calculate the average rate of change:

Average rate of change = (-245 students) / (5 years) = -49 students per year

Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.

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Answer:

-1/6 and on decimal form is -0.16

Step-by-step explanation:

Answer;

In the first column, 35 chickens, and 6 horses.

In the second column, 7 chickens, and 20 horses.

In the third column, 27 chickens, and 10 horses.

In the fourth column, 19 chickens, and 14 horses.

In the fifth column, 37 chickens, and 20 horses.

P.D. Do you need the reasoning or just the answers?