A letter is chosen at random from each word listed below. In each case, what is the probability that the letter chosen is a vowel?

A. Yukon B. Saskatchewan C. Nunavut D. Manitoba

Answer: For first blank: GNS

P = N G = P S = R

The differentiation of the given function gives 2x / (x² + 1)² and it means there is no point where function has a horizontal tangent line.

The function is given as:

y = x²/(x² + 1)

The quotient rule for differentiation states that:

For a function f(x) = g(x) / h(x), where g(x) and h(x) are differentiable functions, then the derivative f'(x) can be calculated as:

f'(x) = (g'(x) * h(x) - g(x) * h'(x))/(h(x))²

With the aid of the quotient rule on function, we have:

g(x) = x²

h(x) = x² + 1

Differentiating g(x) and h(x) with respect to x gives:

g'(x) = 2x

h'(x) = 2x

Plugging these values into the quotient rule formula gives us:

f'(x) = [(2x * (x² + 1)) - (x² * 2x)]/(x² + 1)²

= [2x³ + 2x - 2x³] / (x² + 1)²

= 2x / (x² + 1)²

The values of x at which the function has a horizontal tangent line occurs when f'(x) = 0.

Thus:

2x / (x² + 1)² = 0

This will be f'(x) = 0 when the denominator is equal to zero.

Thus:

(x² + 1)² = 0

Taking the square root of both sides gives:

x² + 1 = 0

Subtracting 1 from both sides gives:

x² = -1

We will have a negative root and we can say that at finite values of x, we don't ever have a point where the tangent lines are horizontal

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Answer:

the answer is clear

Step-by-step explanation:

you have to get the answer by completing the answer

Answer:

-.222

Step-by-step explanation:

Hey there!

To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then

a / b

= a ÷ b

= result

Equation: -2/9

= -2 ÷ 9

= -0.222222

Answer: -0.222222

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Let's see

\(\\ \rm\Rrightarrow \dfrac{10}{12}\times \dfrac{6}{9}\)

\(\\ \rm\Rrightarrow \dfrac{5}{6}\times \dfrac{2}{3}\)

\(\\ \rm\Rrightarrow \dfrac{10}{18}\)

\(\\ \rm\Rrightarrow \dfrac{5}{9}\)

Answer:

x = 12

Step-by-step explanation:

To solve this and show your work, you have to start of with the equation (3x - 6) = 30.

You then have to add 6 to both sides like this:

\((3x - 6) = 30 \\ \: \: \: \: \: \: \: \: \: \: + 6 \: \: \: \: \: + 6 \)

So then the 6 is cancelled out, and you are left with

3x = 36.

Now you just have to divide both sides by 3 like this:

\( \frac{3x}{3} = \frac{36}{3} \)

Which cancels 3 out, and you are left with

x = 12.

Answer:35

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+5y=-27

-2x-5y=24

If the signs are the same u minus if they are different u add

So they are different were gonna add

x+5y=-27

-2x-5y=24

-1=-3

You cant divide it further x=-3

Next were gonna subsitute in any equation

x(-3)+5y=-27

-3+5y=-27

+3 to -27

-7+3=-24

5y=24

24/5=4.8 y=4.8

I hope this helps.

Answer:

12 ft² :)

Step-by-step explanation:

Area of a parallelogram = base * height

4 * 3 = 12

Area of the parallelogram = 12 ft²

The y value or y-coordinate for the point located 3 over 5 the distance from l to m is equals to the 5.2. So, the right choice for answer of this problem is option (a).

We have a line segment, lm, with endpoints are l(0, 1) and m(2, 8). We have to determine the y value or y coordinate for the point located 3 over 5 the distance from l to m. The distance between two points is calculated by using the distance formula. Here, x₁ = 0 , x₂ = 1, y₁ = 2, y₂ = 8

so, distance between endpoints l(0,1) and m(2,8) is lm = √2² + ( 8 - 1)²

= √4 + 49 = √53

But we need only y-coordinate of point. So, the distance between l and m on y-axis is calculated by substracting of the y-coordinate of l from y-coordinate of m, i.e., = 8 - 1 = 7

Now, 3 over 5 of distance from l to m is

= (3/5)× 7

= 4.2

So, distance of required point on y-axis is 4.2 units. The y-coordinate of point is

= y-coordinate of l + 4.2

= 1 + 4.2 = 5.2

Hence, required point value is 5.2.

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Answer:

A. Y=3/5x-4

Step-by-step explanation:

with the original equation, subtract -3x.

with your new equation, divide by -5.

that should give you your answer

Answer:

15

Step-by-step explanation:

2(2) - 18 = -14 |-14| = 14

3(2) -7 = -1 |-1| = 1

14+1=15

The provided equation has a straight graph and no typical axis of symmetry because it is a linear function. As a result, the equation y = -8x does not have an axis of symmetry.

The graph of a linear function is a direct line. The form of the a linear function is as follows. a + bx Equals y = f (x). A regression line is composed of one independence variable and one dependent variable. The variables that are dependent and independent are X and Y, respectively.

A perfect line just on coordinate plane is expressed by a linear function. As an illustration, the equation y = 3x – 2 depicts a function f because it refers to a line inside the reference system.

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The Vector functions are :

a) r(t) = (1-t) <2, 3> + t <-1, 5>

b)r(t) = (1-t) <0, 4> + t <-2, 0>

c) x = 3 cos(t), y = 3 sin(t)

(a) The line segment from (2, 3) to (-1,5):

To draw the line segment from (2, 3) to (-1, 5), we first plot the two points on the Cartesian plane:

        (2, 3)

           *

          /

         /

        /  

(-1, 5) *

The direction of motion along this line segment is from (2, 3) to (-1, 5), so we can write a vector function that starts at (2, 3) and ends at (-1, 5) by using the position vector:

r(t) = (1-t) <2, 3> + t <-1, 5>

where t ranges from 0 to 1. This vector function starts at (2, 3) when t = 0 and ends at (-1, 5) when t = 1.

(b) The part of y=4 – x^2 from (0,4) to (-2,0):

To draw the part of y = 4 - x^2 from (0, 4) to (-2, 0), we first plot the two points on the Cartesian plane:

   (0, 4)    *

             / \

            /   \

           /     \

(-2, 0) *  /       \

          *--------*

The direction of motion along this curve is from (0, 4) to (-2, 0), so we can write a vector function that starts at (0, 4) and ends at (-2, 0) by using the position vector:

r(t) = (1-t) <0, 4> + t <-2, 0>

where t ranges from 0 to 1. This vector function starts at (0, 4) when t = 0 and ends at (-2, 0) when t = 1.

(c) The part of the circle x^2 + y^2 = 9 from (3, 0) to (0, -3), moving counter-clockwise:

To draw the part of the circle x^2 + y^2 = 9 from (3, 0) to (0, -3), moving counter-clockwise, we first plot the two points on the Cartesian plane:

markdown

         * (3, 0)

       / | \

     /   |   \

    *----*----*

(0, -3)

We know that the equation of the circle is x^2 + y^2 = 9, so we can parameterize this curve by writing x and y in terms of cos(t) and sin(t):

x = 3 cos(t)

y = 3 sin(t)

where t ranges from π/2 to π. This vector function starts at (3, 0) when t = π/2 and ends at (0, -3) when t = π. Since we want to move counter-clockwise along the circle, we start at the point (3, 0) and move towards (0, -3) as t increases.

In mathematics, we use vector functions to describe curves in two- or three-dimensional space. Vector functions are functions that map a parameter t to a vector in space, allowing us to describe the position and movement of an object over time.

In this problem, we are asked to draw three different curves in the plane and write vector functions that describe each curve.

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Step-by-step explanation:

x + x+1 = 941

2x + 1 = 941

2x = 940

x = 470

but the question is wrong or cannot be answered bad in the given information.

the question sounds be : what are the page numbers ?

the answer : 470 and 471.

but "how many pages does the book have" cannot be answered.

the book could have 471 pages. but also 2000. or 4000. or, or, or...

it does not change anything about the relationship of the pages 470 and 471. and there is therefore no way to know the total number of pages of the book just by knowing that there are pages 470 and 471.

6 units as a mixed number will get you to 16

Failing to reject H0 in the test for significance of regression means that at least one of the regressor constants is equal to 0, but it does not specify which regressor constant(s) or the status of the intercept.

In regression analysis, the test for significance of regression examines whether the independent variables (regressors) collectively have a significant impact on the dependent variable. The null hypothesis, H0, assumes that all the regressor coefficients are equal to 0, indicating no relationship between the independent and dependent variables.

If the test fails to reject H0, it means that there is not enough evidence to conclude that all of the regressor coefficients are significantly different from 0. However, this does not imply that they are all equal to 0. It is possible that some regressor coefficients are non-zero, while others may be zero.

Failing to reject H0 does not provide information about the intercept or imply that it is equal to 0. It also does not specify that only one of the regressor constants is equal to 0. It simply indicates that there is insufficient evidence to conclude that all of the regressor constants are non-zero.

In summary, when the test for significance of regression fails to reject H0, it suggests that at least one of the regressor constants is equal to 0, but it does not provide information about the intercept or the specific regressor constants that may be zero.

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Start by finding the slope of the line that passes through both the 12 roses bouquet and the 18 roses bouquet.

point 1: (12,61)

point 2: (18,79)

then, using one of the points find the fixed costs

Answer:

The general equation that represents the linear relationship is:

Answer:

the second option

Step-by-step explanation:

Answer:

3, 7, 14

Step-by-step explanation:

Answer:

the 2nd one

Step-by-step explanation:

i did the test and got correct

Answer:

  f'(x) = -2/√(x³)

Step-by-step explanation:

You want the derivative of f(x) = 4/√x.

The power rule for derivatives is ...

  \(\dfrac{d}{dx}(x^n)=nx^{(n-1)}\)

Applied to the given function, we have ...

  \(f(x)=\dfrac{4}{\sqrt{x}}=4x^{-\frac{1}{2}}\\\\f'(x)=4(-\frac{1}{2}x^{-\frac{3}{2}})\\\\\boxed{f'(x)=-\dfrac{2}{\sqrt{x^3}}}\)

__

Additional comment

The first attachment shows a calculator gives the same result.

The second attachment shows the derivative curve matches the one described by the function we found.

Answer:

A

Step-by-step explanation:

I did math

Answer:

a

Step-by-step explanation:

hope yall have a good day going back to school

Answer:

The answer is B.

Step-by-step explanation:

When you reflect (2,5) over the x axis, you get (2,-5).

The angle is 29.1234 degree

It is an application of trigonometric by which we can find the height, distance, and angle.

(x) = 122 m

Height of lighthouse (h) = 34

The base of a lighthouse that is 34 meters above sea level (l) = 34

The angle of elevation from the boat to the top of the lighthouse.

Total height of the tower from the sea level = 34 + 34

Total height of the tower from the sea level = 68

Then

\(\begin{aligned} tan \theta &= \dfrac{Total height of tower from the sea level}{Distance between boat and light and lighthouse} \\tan \theta &= \dfrac{68}{122} \\\theta &= tan^{-1} (\dfrac{68}{122} )\\\theta &= 29.132429^{o} \\\end{aligned}\)

Thus, the angle is 29.1234 degree

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16 is the answer edge 2022