Combined gas law
Please reply with the steps, I'm confused

The other side of the triangle by using Pythagoras theorem is 15 cm.

Given that,

The triangle has an hypothesis 25cm, adjacent is 20 cm and opposite is x cm.

We have to find the other side by using Pythagorean theorem.

The hypotenuse of a triangle, which has a straight angle of 90 degrees, has a square that, according to the Pythagoras theorem, equals the sum of the squares of the other two sides.

c²=a²+b²

25²=20²+x²

625=400+x²

x²=625-400

x²=225

Square root on both sides.

x=√225

x=15.

Therefore, The other side of the triangle by using Pythagoras theorem is 15 cm.

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The value of unknown variable [x] is x = 36 x 10⁻⁴

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a proportional relationship of the form -

y₁/x₁ = y₂/x₂

We can write it as -

x = (5.1 x 10⁴ x 12)/(1.7 x 10⁸)

x = 36 x 10⁻⁴

Therefore, the value of unknown variable [x] is x = 36 x 10⁻⁴

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Answer:0.56

Step-by-step explanation:

You simply divide 14 by 25

so 14÷25 or 14/25

put that in a calculator and it comes out to 0.56

Answer:0.56

Step-by-step explanation:

if you make the 25 into 100 which is x4 and 14x4= 56

so it will be 56/100 which is 0.56

hello

to solve this question, we should let the unknown number be represented by x

the first number (x) is equal to 11, we can find the other number.

from the calculations above, the numbers are 11 and 22

Answer:

8/25

Step-by-step explanation:

2x2x2=8

5x5=25

= 8/25

The value of x is given by 28/13.

Given the product of 14 and x is = 14*x = 14x

According to question, the product is equal to 28 more than x. So,

14x = 28+x

14x-x = 28

13x = 28

x = 28/13

Hence the value of x is 28/13.

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The function that models the area of the rectangular field is given by

A(x) = 1 / 2 ( 80x  -x² ) .

a) The length of the side parallel to the wall is given as x feet.

Total length of the fence = 80 feet.

fence required for each side = 80-x feet

length of each side = 1/2 (80-x)

Area of the rectangular garden

= 1/2(80-x)·x

= 1 / 2 ( 80x  - x² )

Therefore the area written in function form is A(x) = 1 / 2 ( 80x  -x² ) .

b) Now we have to find the length of x for which the area is greater than 350 square feet.

1 / 2 ( 80x  -x² ) > 350

or, ( 80x  -x² ) > 700

or, (x-10)(x-70)<0

or, 10 < x < 70

So for x greater than 10 and less than 70 feet the rea is greater than350 square feet.

c) Now we have to find the length of x for which the area is greater than 700 square feet.

1 / 2 ( 80x  -x² ) > 700

or,  ( 80x  -x² ) > 1400

Hence solving we get:

25.68 < x < 54.14 feet.

So for x greater than 25.68 and less than 54.14 feet the area is greater than 700 square feet.

d) Now we have to find the length of x for which the area is greater than 900 square feet.

A(x) =  1 / 2 ( 80x  -x² )

or, A'(x) =  1 / 2 (80-2x) (differentiate with respect to x)

or, A'(x) = 40 - x

Now at A'(x) =0 , we get x = 40

Now for A(40) the area is the greatest.

A(40) =  800.

Hence the maximum area that can be covered by the fence is 800 square feet. Therefore we can say that the area greater than 900 is not possible.

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Answer:

y = - 2

Step-by-step explanation:

the equation of a line passing through points with the same y- coordinates is

y = c ( where c is the value of the y- coordinate )

the line passes through (1, - 2 ) and (- 2, - 2 ) both with y- coordinate - 2, so

y = - 2 ← equation of line

The answer is: 0.0362

The total number of Master's degree holders = 2848 (from the question)

In order to choose people 40 and above from this Master's degree holder subset,

You choose:

People 40-49 AND People 50 and over.

Number of people 40-49 = 475

Number of people 50 and over = 699

But we also need to take into consideration, the probability of picking a person 40-49 years old OR 50 and over

total Number of people 40 - 49 are 3518

The total Number of people 50 and above are 6518

Thus, we can write the probability as:

The final answer is: 0.0362

Explanation:

Ashton wants to divide 6 pounds of pecans between 5 neighbors. We have to divide 6 by 5 and write it as a mixed number, because we'll get an improper fraction:

Answer:

The correct option is C 1 1/5 pounds

Let's solve each system to check if it is a consistent or inconsisent system of equations:

a.

This system has no solution, therefore it is a inconsistent system.

b.

Both equations represent the same line, so the system has infinite solutions, therefore it is a consistent dependent system.

c.

This system has no solution, therefore it is a inconsistent system.

d.

This system has one solution, therefore it is a consistent independent system.

e.

This system has one solution, therefore it is a consistent independent system.

f.

This system has infinite solutions (the equations represent the same line), therefore it is a consistent dependent system.

(x means multiplication)

21/7=3, so he gets the deal 3 times. 2x3=6, so he gets 6 bonus books, leading to a total of 27 books.

When examining the linear relationship between two numerical variables, correlation is used.

It calculates how powerful statistics are. The direction and strength of relationships between variables are studied and measured through correlation, which quantifies co-variation rather than causality. As a result, we must never assume that correlation implies a cause-and-effect relationship.

For instance, when two variables X and Y are found to change in one direction, the other variable's value is discovered to change either in the same direction (i.e., a positive change) or in the opposite direction. This relationship is known as a correlation (i.e. negative change).

On graph paper, a straight line can be used to depict how the two variables move with respect to one another if a correlation exists because it is linear.

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Answer:

Step-by-step explanation:

In the summer time your friend wants to have a snow cone stand at a local grocery store parking lot. You want to make sure he actually makes money. The grocery store charges $300 per month. All products are calculated to be 25 cents per customer. Your plans are to sell each cone for $1.25. a. Write a mathematical expression representing the cost of operation for a month. b. Write a mathematical expression representing sales. c. Create an equation that will represent overall profit of the operation for a month. d. Simplify the equation into slope intercept form and standard form. What is the slope and explain its meaning in the context of selling snow cones? What is the intercept and what is its meaning? e. Describe the method of graphing the slope intercept form and also the standard form of the equation. f. What is the domain and range of the equation? Is the relation a function, why? g. How many snow cones do you need to sell to break even in the first month? h. How much is the profit if you sell 425, 550 or 700 snow cones in the first month of business? . Thomas and Jenny went to a bakery to pick up some cookies for dessert. Thomas bought 3 pumpkin cookies and 2 raisin cookies. Jenny bought 2 pumpkin cookies and 4 raisin cookies. Thomas consumed 870 calories and Jenny consumed 750 calories. a. Write a system of equations to represent this situation. b. Solve each equation for y and graph to find the solution. How many calories are the pumpkin and raisin cookies? c. Solve the same equations using substitution and the elimination methods. Compare all of your answers. Perform the following to demonstrate you can work with geometric sequences: a. Write 5 numbers that are an example of a geometric sequence. b. Show the value of the common ratio. c. Write an equation that would give you the value of the 23rd term in the sequence d. Find the sum of the first 10 terms of the sequence. Show your work or explain you answer.

Answer:

Step-by-step explanation:

the figure is formed by a rectangle and two isosceles triangles, the measures of the rectangle are: 12cm and 5cm, the base of the triangles is 12cm and the height is (13 - 5) : 2 = 4cm

Rectangle Area = b × h

12 × 5 = 60cm²

Triangle Area = 1/2 b × h

1/2 12 × 5 = 30cm²

just sum the single Areas

60 + 30 + 30 =

120cm²

Given the figure, we can deduce the following information:

1. The lines intersect at point (-2,-2).

To determine which quadrant is the answer to the given system of equations, we note the quadrants as shown below:

Based on the given graph, we can notice that the lines intersect at point (-2,-2) which is located at Quadrant 3.

Therefore, the answer is C. Quadrant 3.

The radius of the circle will be 3.19.

The perimeter of the circle will be 20.03.

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The area of a quadrant of a circle is 8 cm².

Now,

Since, We know that;

The area of a quadrant of a circle = πr² / 4

So, We can formulate;

⇒ πr² / 4 = 8

Solve for r as;

⇒ 3.14 x r² = 8 x 4

⇒ r² = 32/3.14

⇒ r² = 10.19

⇒ r = √10.19

⇒ r = 3.19

Since, The perimeter of the circle = 2πr

Substitute all the values, we get;

The perimeter of the circle = 2πr

The perimeter of the circle = 2 x 3.14 x 3.19

                                           = 20.03

Thus, The radius of the circle will be 3.19.

The perimeter of the circle will be 20.03.

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Answer:

A(-4.5;2) B(0;-3.5).......

Concept

The parent function of absolute functions is y = |x|, and it passes through the origin.

So a parent absolute function is a function that have not been transformed.

So the absolute value parent function is f(x) = |x|

Final answer

f(x) = |x|

Answer:

x = 10

Step-by-step explanation:

y = - 8 is a horizontal line parallel to the x- axis

A line perpendicular to it will therefore be a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (10, - 20 ) with x- coordinate 10 , then

x = 10 ← equation of perpendicular line

Answer

The solution of this system of equations is usually the point where the lines meet each other. The solution is at the point of intersection of the lines.

The value for x is the x-coordinate of this point of intersection and the value for y is the y-coordinate of this point of intersection.

Explanation

The graph of a system of equations show straight lines that correspond to each of the equations.

The solution of this system of equations is usually the point where the lines meet each other. The solution is at the point of intersection of the lines.

The value for x is the x-coordinate of this point of intersection and the value for y is the y-coordinate of this point of intersection.

Hope this Helps!!!

Answer:

The solution of this system of equations is usually the point where the lines meet each other. The solution is at the point of intersection of the lines.

The value for x is the x-coordinate of this point of intersection and the value for y is the y-coordinate of this point of intersection

Step-by-step explanation

The graph of a system of equations show straight lines that correspond to each of the equations. The solution of this system of equations is usually the point where the lines meet each other. The solution is at the point of intersection of the lines. The value for x is the x-coordinate of this point of intersection and the value for y is the y-coordinate of this point of intersection

Answer:

The slope is 5.

Explanation:

In the slope-intercept form of an equation

m is the slope, and b is the y-intercept of the equation.

Now in our case,

therefore, the slope is 5 and the y-intercept is -3.

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

Answer:

y = - x - 18

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

the equation of a line in point- slope form is

y - b = m (x - a)

m is the slope and (a, b ) a point on the line

y + 3 = - (x + 2) ← is in point- slope form

with slope m = - 1

• Parallel lines have equal slopes , then

y = - x + c ← is the partial equation

to find c substitute (- 10, - 8 ) into the partial equation

- 8 = 10 + c ⇒ c = - 8 - 10 = - 18

y = - x - 18 ← equation of line s

The equation in slope-intercept form is y=-x-18.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

Given that, Line r has an equation of y + 3 = -(x + 2).

y+3=-x+2

y=-x+2-3

y=-x-1

Here, slope m=-1

Line s includes the point (-10, -8) and is parallel to line r.

The slope of a line parallel to given line is m1=m2

Substitute m=-1 and (x, y)=(-10, -8) in y=mx+c, we get

-8=-1(-10)+c

c=-18

So, the equation is y=-x-18

Therefore, the equation in slope-intercept form is y=-x-18.

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In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations. Combinations exist when the order doesn't matter, but permutations exist when it does. A permutation could be described as an ordered combination. The following formula determines how many permutations of n objects, taken r at a time: P(n,r)=n!

Given,

Ways 7 runners can places 1 through 4 be determined:

By using permutation:

7!

7 ×6 × 5 ×4×3×2×1

5040

In 5040 different ways, 7 runners can places 1 through 4 be determined if in a race there are 7 runners. trophies for the race are awarded to the runners finishing in places 1 through 4.

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see explanation below

8) 3, 9, 15, 21, 27

The common difference = 15-9 = 9-3

The common difference = d = 6

Hence, it is an arithmetric sequence

The recursive formula:

The appropriate formula:

The next three numbers in the sequence:

Answer:

A = 44

Step-by-step explanation:

11 x 8 = 88

88 / 2 = 44

We need to solve the following equation:

In order to do that, we have to isolate the "x" variable on the left side.

The value of x is 6.

Answer:

B

Step-by-step explanation:

Proportional means that the values should be equal to each other:

15/21= 0.714...

20/25= 0.8

20/24=0.833...

15/18= 0.833...

16/20=0.8

20/24=0.8333...

5/6=0.8333...

6/5=1.2

Hope this helps!