How many different 10-letter words (real or imaginary) can be formed from the following letters?
X, W, C, V, R, Z, W, U, M, A

The rate of gaining altitude for the hiker is 530 feet per hour.

The differentiation of a function is defined as rate of change of its value at a point. It can be written as g'(x) = (g(x + h) - g(x)) /(x + h - x).

Its geometric aspect is the slope of the function at a given point.

The given equation for hiker's altitude is as below,

a = 12850 + 530h

Here a is the altitude in feet and h is time in hours.

In order to find the rate of gaining altitude, the equation for altitude has to be differentiated with respect to hours as below,

a = 12850 + 530h

Differentiate the above equation w.r.t h as,

da/dh = 0 + 530

          = 530

Hence, the rate of gaining altitude is 530 feet per hour.

To know more about differentiation click on,

https://brainly.com/question/24898810

#SPJ1

Answer:

21 gallons

Step-by-step explanation:

[tex]\frac{9}{198} \times 462 \\ \\ =\frac{462}{22} \\ \\ =21[/tex]

Answer:

Step-by-step explanation:

570.675

Proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.

A quadrilateral is a closed shape created by uniting four points, any three of which cannot be collinear. Four sides, four angles, and four vertices make up a quadrilateral.

Quadrilaterals have a few characteristics. The list is as follows.

Each side has four sides.

Each of them has four vertices.

Two diagonals are present.

360 degrees is the sum of all interior angles.

Given, to prove if a quadrilateral is a square, then the quadrilateral is a rectangle.

The Square has four equal sides, and all four angles are right-angled.

Rectangle has equal opposite sides, and all four angles are the right angle.

Here, the two sides of the square can be increased to form a rectangle.

Hence, proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.

To know more about quadrilaterals, visit:

https://brainly.com/question/3642328

#SPJ1

The decimal form of the number is :

9804.0

What is the decimal number?

Decimals are a form of a number in algebra that has a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal number is, for instance, 34.5.

If the question is,

4x1+8 x 100 + 9 × 1000, then simplify it first

4x1+8 x 100 + 9 × 1000=4+800+9000=9804

So, the decimal form is :

9804.0

To learn more about the decimal number from the given link

https://brainly.com/question/1827193

#SPJ1

Answer:

150 adult tickets where sold

Step-by-step explanation:

If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.

If Jolyn scores 48 points, and the z-score of this value is 3, then her mean points in this normally distributed game is equal to 27.

In a normal distribution, the relative score or z-score can be calculated by using this formula:

[tex]z=\frac{x\;-\;u}{\sigma}[/tex]

Where:

Making mean (μ) the subject of formula, we have:

μ = x - zσ  x

Substituting the given parameters into the formula, we have;

Mean point, μ = 48 - (3 × 7)

Mean point, μ = 48 - 21

Mean point, μ = 27.

Read more on z-scores here: https://brainly.com/question/26714379

#SPJ1

Answer: (0.4k+0.6w)

Step-by-step explanation:

the answer would be (0.4k+0.6w) Since we do not know the values of k nor w, their coefficients cannot be added together.

The total volume of the solution as an algebraic expression is

0.4k + 0.6w.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount of acid added to the solution = 40% of k  

Amount of water added to the solution= 60% of w

Now,

The total volume of the solution.

= 40% of k + 60% of w

= 40/100 x k + 60/100 x w

= 0.40k + 0.60w

Thus,

The volume is 0.4k + 0.6w.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

The statement that is not true about body mass index is B. measures the percentage of one's body fat directly

The Body Mass Index (BMI) calculates a person's weight in relation to their height. It is not a precise assessment of a person's total body fat, more of an indicative.

The majority of the time, total body fat and BMI are correlated.

The Body mass index (BMI) formula

= weight in kilograms / square of height in meters

BMI Categories values are classified below

Underweight  ≤ 18.5

Normal weight = 18.5–24.9

Overweight = 25–29.9

Obesity = BMI of 30 or greater

Learn more about BMI here:

https://brainly.com/question/1404170

#SPJ1

Answer:B

Step-by-step explanation:

12 and 30 are the two numbers are greater than 6 with HCF  6 and LCM  60.

What is Highest common factor and Least Common Multiple?

Least Common Multiple is the entire name of LCM in mathematics, whereas Highest Common Factor is the full name of HCF. When two or more numbers are given, the HCF identifies the largest factor present, while the LCM defines the least number that is exactly divisible by two or more numbers.

Assume that the two numbers with HCF of 6 are 6a and 6b, where a and b are co-prime and a, b > 1.

HCF x LCM = Product of the numbers.

6 x 60 = 6a x 6b

10 = a x b

10 can be written as, 1 x 10 and 2 x 5.

But a and b > 1.

So, 10 = 2 x 5

a = 2, b = 5

Therefore, the two numbers are,

6a = 6(2) = 12 and

6b = 6(5) = 30

Hence, the two numbers with HCF  6 and LCM  60 are 12 and 30.

To know more about the HCF and LCM, click on the link

https://brainly.com/question/21504246

#SPJ9

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Equation of parabola in vertex form is :

[tex](x-h)^{2} = 4a(y-k)[/tex]

[tex](x-0)^{2} = 4a(y-180)[/tex]

it passing through (1,164)

∴ [tex](1-0)^2=4a(164-180)[/tex]

[tex]1 = 4a(-16)[/tex]

⇒ [tex]-64a = 1[/tex]

⇒ [tex]a = -\frac{1}{64}[/tex]

∴ [tex](x-0)^2 = 4 \times \frac{1}{-64} (y-180)[/tex]

[tex]x^2 = -\frac{1}{16}(y-180)[/tex]

[tex]-16x^2 = y-180\\y = -16x^2+180\\[/tex]

Here, the equation of parabola in vertex form is:

[tex]y = -16(x^2)+180 ,\ for \ x\geq 0[/tex]

What is Parabola?

A curve formed by the intersection of a cone with a plane parallel to a straight line in its surface.

What is cone?

A cone is a three-dimensional shape in geometry that narrows smoothly from a flat base (usually circular base) to a point(which forms an axis to the Centre of base) called the apex or vertex.

Find out more about Parabola:

https://brainly.com/question/29211188

#SPJ13

Answer:IT WOULD BE 60.00

Step-by-step explanation:

BC 40 = 60

The five number from the box plot is presented as follows:

A box and whisker plot shows five things of a distribution, listed as follows:

The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.

The data set's maximum value.

These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.

Learn more about box plot here:

brainly.com/question/29228493

#SPJ1

An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

From the graph of this line, we have the following parameters:

Point (x, y) = (60, 50)

Point (x, y) = (20, 80)

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (80 - 50)/(20 - 60)

Slope, m = 30/40

Slope, m = 3/4 or 0.75

At point (60, 50), the intercept is given by:

y = mx + c

50 = 0.75(60) + c

50 = 45 + c

Intercept, c = 50 - 45

Intercept, c = 5.

Now, we can write the equation of this line in slope-intercept form as follows:

y = 0.75x + 5 or 3x/4 + 5.

Read more on slope here: brainly.com/question/14345501

#SPJ1

Answer:

give me the question dude......

Step-by-step explanation:

The statement that is correct regarding their solutions is A. Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.

From the information, Salina and Nessa combined like terms using the same expression.

The expression given is illustrated as.

6x²y - 3 + x²y + 2xy² + 2xy - 6

It should be noted that the like terms are:

6x²y and x²y as well as -3 and -6.

Combine the like terms

6x²y + x²y = 7x²y

Also, -3 + (-6) = -9

Therefore, the value will be 7x²y + 2xy² + 2xy - 9

The correct option is A as it illustrated the mistake Salina made.

Learn more about expressions on:

brainly.com/question/10004139

#SPJ1

Answer:

A is the answer

Step-by-step explanation:

The constant of proportionality in the equation y = 11x is  11 , the correct option is (a) .

in the question ,

it is given that

the equation is y = 11x

also given that the equation is proportional relationship ,

we need to find constant of proportionality .

we know that the proportional equation is written as y = k*x

where k is the constant of proportionality , on comparing it with the equation y = 11x

, we get k = 11 ,

So , the constant of proportionality is = 11 .

Therefore , The constant of proportionality in the equation y = 11x is  11 .

Learn more about Proportionality here

https://brainly.com/question/17302514

#SPJ1

Answer:

36

Step-by-step explanation:

substitute m = - 3 into the expression

m² - 7m + 6

= (- 3)² - 7(- 3) + 6

= 9 + 21 + 6

= 36

The pressure of the gas is 7kg/cm^2.

Joint Variation is a situation in which the value of one variable depends on two, or more, other variables when the other variables are held constant

Given that: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. This can be written as:

VαT and Vα 1/P

Combining the two relations gives:

Thus Vα T/P  

V = kT/P        (where k is a constant)

PV=kT

k = PV/T

P =kT/V

Given: V = 70 cm^3

when T = 420 kelvin

P = 18 kg/cm^2

k = 18×70 / 420

k = 1260/420

k = 3

Given: T = 140 kelvin and

V = 60 cm^3.

Find the pressure

P = kT/V

P = 3×140/60

= 420/60

= 7kg/cm^2

Therefore, the pressure when T = 140 kelvin and V = 60 cm^3 is 7kg/cm^2.

Learn more about joint variation on:

https://brainly.com/question/11613758

#SPJ1

well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.

well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) =  0, so let's use that

[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]

Answer:

y = x^2 + 6       given equation

y = m x + b        equation of straight line required

dy/dx = 2 x       tangent to given curve

dy/dx = slope = 2 * 5 = 10

Thus our line must be of the form

y = 10 x + b

31 = 10 * 5 + b       at the point required

b = 31 - 50 = -19

Then our final equation becomes

y = 10 x - 19

The quadratic equation y = - 4 · x² - 8 · x + 60 contains the points (3, 0), (- 5, 0) and (- 6, - 36).

In this question we find the coordinates of three points set on Cartesian plane and we are asked to find the quadratic equation that contains the these points. The standard form of the quadratic equation is shown below:

y = a · x² + b · x + c

Where:

We can determine the values of the three coefficients because the number of known points is equal to the number of coefficients. Then, we have the following system of linear equations by replacing x and y on each of the three points:

9 · a + 3 · b + c = 0

25 · a - 5 · b + c = 0

36 · a - 6 · b + c = - 36

Then, the solution to the system is found by numerical methods:

(a, b, c) = (- 4, - 8, 60)

The equation that contains the three points is y = - 4 · x² - 8 · x + 60.

To learn more on quadratic equations: https://brainly.com/question/1863222

#SPJ1

The probability that the sum is 5/9.The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa).

The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa). Given that this is feasible 4 times out of 36, the probability calculated by adding the two dice is 4/36, or 1/9.

I am assuming that you are rolling two dice.

Probability of even: 18 "evens" out of 36 total outcomes = 18/36

→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36

→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)

Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36

→(4,6), (5,5), (6,4), (6,6)

evens   OR    >9s    NOT both

18/36 + 6/8 - 4/36 = 20/36 = 5/9.

The probability that the sum is 5/9.  

To learn more about additive dice roll refer to:

https://brainly.com/question/14192140

#SPJ1

The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.

Inequalities are expressions that have the <, >, ≤ and ≥ signs.

Therefore, let's solve the given inequality as follows:

–2(5 – 4x) < 6x – 4

open the brackets on the left side

–2(5 – 4x) < 6x – 4

-10 + 8x < 6x - 4

add 10 to both sides of the inequality

-10 + 8x < 6x - 4

-10 + 10 + 8x < 6x - 4 + 10

8x < 6x + 6

subtract 6x from both sides of the inequality

8x < 6x + 6

8x - 6x < 6x - 6x + 6

2x < 6

divide both sides of the inequality by 2

2x < 6

2x / 2 < 6 / 2

x < 3

learn more on inequality here: https://brainly.com/question/2038359

#SPJ1

Answer:

New: $44,840 Original: 47,200

Step-by-step explanation:

You have to multiply 47,200 by 95% or 0.95