PLEASEEEE HELPPPP!!!!

Answer:

Step-by-step explanation:

The question is incomplete. Find the complete question in the attached file.

a) Given the expression 9x^2 - y^2 = 1

Differentiating implicitly will give;

[tex]18x-2y\frac{dy}{dx} = 0\\[/tex]

We can then make dy/dx the subject of the formula as shown;

[tex]18x = 2y\frac{dy}{dx}\\\frac{dy}{dx} = \frac{18x}{2y} \\\frac{dy}{dx} = \frac{9x}{y} \\y' = \frac{9x}{y}[/tex]

b) In order to solve the question explicitly, we will first have to make x the subject of the formula before differentiating.

[tex]9x^{2} -y^{2} = 1\\9x^{2} = 1+ y^{2}\\y^{2} =9x^{2}- 1\\y^{2} = 9x^{2} - 1\\y = \sqrt{9x^{2}- 1 } \\[/tex]

Using chain rule to solve the equation;

let;

[tex]u = 9x^{2} -1\\ y = u^{1/2}[/tex]  

du/dx = 18x

dy/du = [tex]1/2u^{-1/2}[/tex]

dy/dx = dy/du * du/dx

dy/dx = [tex]1/2u^{-1/2} * 18x[/tex]

[tex]\frac{dy}{dx} = \frac{1}{2}({9x^{2}-1 } )^{-1/2} * 18x\\\frac{dy}{dx} = 9x({9x^{2} -1 } )^{-1/2} \\\frac{dy}{dx} = 9 x(\sqrt{{\frac{1}{9x^{2} -1} } }) \\\frac{dy}{dx} = \frac{9x}{\sqrt{9x^{2}-1 } }[/tex]

c) In order to confrim that solutions to part (a) and (b) are consistent, we will substitute [tex]y = \sqrt{9x^{2} - 1 } \\[/tex] into the answer in (a) as shown;

From (a) [tex]\frac{dy}{dx} = \frac{9x}{y} \\[/tex]

[tex]y' = \frac{9x}{ \sqrt{9x^{2} - 1 } \\} } \\}[/tex]

This shows that they are consistent

Answer:

In a function that is represented by Y=mx+b b would be the y-intercept

Definition of y-intercept. : the y-coordinate of a point where a line, curve, or surface intersects the y-axis.

Answer:

C. Critical values: r = +0.396

Step-by-step explanation:

Hello!

A linear correlation for two variables X₁ and X₂ was calculated.

For a sample n= 25 the sample correlation coefficient is r= 0.767.

Be the hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

α: 0.05

For this hypothesis test, the rejection region is two-tailed, and the degrees of freedom are Df= n-2= 25-2= 23

So using the Pearson product-moment correlation coefficient table of critical values, under the entry for "two tailed tests" you have to cross the level of significance and the degrees of freedom to find the corresponding critical value:

[tex]r_{n-2;\alpha }= r_{23;0.05}= 0.396[/tex]

Since the calculated correlation coefficient is greater than the critical value, you can reject the null hypothesis, this means that the correlation is significant at level 5%

I hope this helps!

Answer: True

Step-by-step explanation: Taking the triangle from the left and moving it to the right creates a rectangle. From there just do 12.8×4.5.

Answer:

ok I am tellin6 to you

Step-by-step explanation:

ok I will tell to you

Answer:

The first answer.

Step-by-step explanation:

The first answer.

What was the temperature of the air?

'was 2C warmer than the surface of the ice'

warmer than= +2c

Temp. of ice=-2c

-2c+2c=0

Answer:

Option 1

Step-by-step explanation:

The temp. was -2 degrees celsius.

The temp. got 2 degrees celsius warmer.

-2 + 2 = 0

Answer:

9 mile trip

Step-by-step explanation:

$15 + $15 = $30

$15 + $9 = $24

$15 + $25 = $40

$15 + $12 = $27

$30 > $25

$24 < $25

$40 > $25

$27 > $25

Answer:

t = 15.6 s

Step-by-step explanation:

According to the kinematic equation:

[tex] y_{f} = y_{0} + v_{0}*t - \frac{1}{2}gt^{2} [/tex]   (1)

Where:

[tex]y_{f}[/tex]: is the final position = 1200 m

y₀: is the initial position = 0 m

V₀: is the initial speed = 0 m/s

g: is the gravity = 9.81 m/s²

t: is the time =?

From equation (1) we have:

[tex] -1200 m = 0 + 0*t - \frac{1}{2}*9.81 m/s^{2}*t^{2} [/tex]      

[tex] t^{2} = \frac{2*(1200 m)}{9.81 m/s{2}} [/tex]

[tex]t = 15.6 s[/tex]

Therefore, it will take 15.6 seconds to the rock to hit the canyon floor.

I hope it helps you!

Answer:

the answer is 6x

Step-by-step explanation:

What is your question?

Answer:

yeah what's your question?

Answer:

Step-by-step explanation:

Let x be a random variable representing the flight arrival time from Boston to New York.

For a uniform probability distribution, the notation is

X U(a, b) where a is the lowest value of x and b is the lowest value of x

The probability density function, f(x) = 1/(b - a)

Mean, µ = (a + b)/2

Standard deviation, σ = √(b - a)²/12

From the information given, the time difference in minutes is 9:57 - 9:07 = 50 minutes. Therefore,

a = 0

b = 50

µ = (0 + 50)/2 = 25

σ = √(50 - 0)²/12 = 14.43

b) converting to minutes, it is 9:30 - 9:07 = 23 minutes

the probability that a flight arrives late(later than 9:30 am) is expressed as P(x > 23)

f(x) = 1/(50) = 0.02

P(x > 23) = (50 - 23)0.02 = 0.54

Hey there! :)

Answer:

x > 9/5.

Step-by-step explanation:

Given:

2/3x - 1/5 > 1

Start by adding 1/5 to both sides:

2/3x > 1 + 1/5

2/3x > 6/5

Divide 2/3 from both sides by multiplying by the reciprocal:

2/3x × 3/2 > 6/5 × 3/2

x > 18/10

Simplify:

x > 9/5.

Answer:

She forgot to combine the 2 negative signs and turn it into a positive.

Step-by-step explanation:

When you subtract a negative, you are adding the number. So if we have 3.5 - (-4.1), it would equal 3.5 + 4.1, which is 7.6

Answer:

She subtracted a negative incorrectly by simply subtracting a positive when subtracting a negative means to add a positive.

Step-by-step explanation:

She subtracted 3.5 - 4.1 which is -0.6

The problem is subtracting -4.1 which means to add 4.1

3.5 - (-4.1) = 3.5 + 4.1 = 7.6

She did: 3.5 - (-4.1) = 3.5 - 4.1 = -0.6 which is incorrect.

Answer:

(b)Categorical Data

Step-by-step explanation:

The response, frequency, and calculation of the relative frequency of the data is given in the table below.

[tex]\left|\begin{array}{c|c|c}$Response&$Frequency &$Relative Frequency\\---&----&---\\$Below Average& 7&\dfrac{7}{15} \times 100 \approx 47\% \\&&\\$Average&5&\dfrac{5}{15} \times 100 \approx 33\%\\&&\\$Above Average&3&\dfrac{3}{15} \times 100 =20\%\\---&---&---\\$Total&15&100\end{array}\right|[/tex]

(b)

A quick way to determine if a data is categorical or numerical is to determine if the mean of the data can be found.

In this case, we cannot determine the mean of the data, therefore, it is a categorical data.

Answer:

Step-by-step explanation:

Given That:

Let A = {the first board is green} and B = {the second board is green}.

A lumber company has just taken delivery on a shipment of 10,000 2×4 boards.

Suppose that 10% of these boards (1000) are actually too green to be used in first-quality construction. Two boards are selected at random, one after the other.

We are to compute the following probabilities :

P(A)

P(B)

P(A ∩ B)

To start with the probability P(A)

[tex]P(A) = \dfrac{1000}{10000}[/tex]

P(A) = 0.1

[tex]P(B) = P(B|A)*P(A)+P(B|A')*P(A')[/tex]

where;

[tex]P(B|A) = \dfrac{N(B|A)}{N-1}[/tex]

[tex]P(B|A) = \dfrac{999}{9999}[/tex]

[tex]P(B|A) =0.0999[/tex]

[tex]P(B|A') = \dfrac{N(B|A')}{N-1}[/tex]

[tex]P(B|A') = \dfrac{1000}{999}[/tex]

[tex]P(B|A') = 0.10[/tex]

Recall that :

[tex]P(B) = P(B|A)*P(A)+P(B|A')*P(A')[/tex]

[tex]P(B) = 0.0999*0.1+0.10*(1-0.1)[/tex]

[tex]P(B) = 0.00999+0.10*(0.9)[/tex]

[tex]P(B) = 0.00999+0.09[/tex]

[tex]P(B) = 0.0999[/tex]

P(A ∩ B) = P(B|A)B

P(A ∩ B) = 0.0999 × 0.10

P(A ∩ B) = 0.00999

(b)

Given that A and B are independent; Then:

P(A ∩ B) = P(A) × P(B)

0.00999 = 0.1 × 0.09999

0.00999 =  0.00999

As such A and B are independent

However; when P(A ∩ B) = P(A) = P(B) = 0.1

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.1 × 0.1

P(A ∩ B) =  0.01

Answer:

C. Approaches 35

Step-by-step explanation:

If we graph the expression, we see that we have an asymptote at y = 35.

Answer:

d. i and iii

Step-by-step explanation:

Notice that the definition provided states that the outcome needs to be numerical in order for a variable to be deemed a random variable:

i. The amount of rain is described in inches (i.e. 1.5 in; 2.0 in) and thus may be considered a random variable

ii. The major of a student is not quantitative as it is a descriptive variable (i.e. Arts; Psychology) and thus is not a random variable

iii. The number of books purchased is a numeric quantity (i.e. 15 books) and may be considered a random variable

Therefore, the answer is d. i and iii

Answer:

Step-by-step explanation:

i and iii

Answer:

[tex]x=38.5^\circ[/tex]

Step-by-step explanation:

Given that the left angle = [tex](3x-3)^\circ[/tex]

The right angle across from it [tex]= 6(x-10)^\circ[/tex]

The other two angles are x and x.

We know that the sum of angles at a point equals 360 degrees.

Therefore,

[tex](3x-3)^\circ+6(x-10)^\circ+x+x=360^\circ\\3x-3+6x-60+2x=360\\11x-63=360\\11x=360+63\\11x=423\\x=38.5^\circ[/tex]

The value of x is approximately 38.5 degrees.

Answer:

The taylor's series for f(x) = ln x centered at c = 1 is:

[tex]ln (x) = \sum\limits^{\infty}_{n = 1} {\frac{(-1)^{n+1}(x-1)^n}{n} }[/tex]

Step-by-step explanation:

The calculations are handwritten for clarity and easiness of expression.

However, the following steps were taken in arriving at the result:

1) Write the general formula for Taylor series expansion

2) Since the function is centered at c = 1, find f(1)

3) Get up to four derivatives of f(x) (i.e. f'(x), f''(x), f'''(x), [tex]f^{iv}(x)[/tex])

4) Find the values of these derivatives at x =1

5) Substitute all these values into the general Taylor series formula

6) The resulting equation is the Taylor series

[tex]ln (x) = \sum\limits^{\infty}_{n = 1} {\frac{(-1)^{n+1}(x-1)^n}{n} }[/tex]

Answer:

THE CURVED ONE

Step-by-step explanation:

THE OTHER ONES R STRAIGHT LINES

THE ONE ON THE TOP  RIGHT CORNER IS A PARABOLA

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

                    ✌ -ZYLYNN JADE ARDENNE

Simple interest formula = I = PRT where I = interest, P = principal, r = interest rate and t = time.

i = 806.20, p = 14,000 t = 250 days.

Change t to be fraction of a full year: t = 250/365

Now solve for r:

806.20 = 14000 x r x 250/365

Simplify :

806.20 = r x 9589.04

Divide both sides by 9589.04:

r = 806.20 / 9589.04

r = 0.08407

Multiply by 100 to get percent:

r = 8.41% (rounded to nearest hundredth)

20%

Here's a tip: Always start percentage calculating with dividing the current number by 10.

Answer:

it is 5h+6.5

Step-by-step explanation:

e d g e n u i t y

Answer:

B/ 5h + 6.5

Step-by-step explanation:

i did the quiz

Answer:

  people who prefer rock or rap

Step-by-step explanation:

We assume that "silence" is a type of music that is not in this universe. Hence the complement of set A is ...

  people who prefer rock or rap

Each line between 0 and 1 is 1/10 ( there are 10 lines)

First arrow is on the 3rd line so would be 3/10

The next arrow is 3 away from that so would be 3/10

The 3rd arrow is 2 away from the 2nd so would be 2/10

3/10 + 3/10 + 2/10 = 8/10

The answer is b

Answer:

it would be 3/5*4/1

Step-by-step explanation:

To divide you multiply the first number by the reciprocal of the second number. Check and you'll see that the answer is the same. Hope this helps!

Answer:

The answer is 3/5 x 4/1

Step-by-step explanation:

Answer:

c. histogram.

Step-by-step explanation:

In this case, the most appropiate way to show the results is to group the results in classes (for example from score 0 to 20, 21 to 40, 41 to 60, until 100) and show the relative frequency for each of the classes.

An histogram allows us to present this information graphically in the ways described before.

A pie chart is appropiate to show proportions.

A bar graph is similar but for discrete or non-numerical categories.

A dot plot is adequate por discrete classes and small samples.