Find the area of the surface. the part of the plane 3x 5y z = 15 that lies in the first octant

The equation which shows the commutative property of addition is (A) 4+3=3+4.

So,

The commutative property for addition states that, a + b = b + a .

Where a, b is any number.

The above condition is satisfied by the equation

Therefore, the equation which shows the commutative property of addition is (A) 4+3=3+4.

Know more about the commutative property of addition here:

https://brainly.com/question/778086

#SPJ4

The correct question is given below:

Which equation shows the commutative property of addition?

A. 4+3=3+4

B. 1(3)=3

C. (2+7)+12=2+(7+12)

D. 4+0=4

Answer:

2

Step-by-step explanation:

slope : ( The amount y increases , when x is increased by 1 )

slope : { y2 - y1 / x2 - x1 }

slope : y2 = 2

           y1 = -4

           x2 = 5

           x1 = 2

You must minus the values in the formula to find the slope line that passes through the points:

slope : { y2 - y1 / x2 - x1 }

slope : (2) - (-4) / (5) - (2)

=> 2 + 3 / 3

=> 6/3

=> 2

Text explanation:

Difference between both y-coordinates. = 6

Difference between both x-coordinates. = 3

Divide the difference between y and x. =

y/x =2

Which means the slope of the line that passes through the points (2,-4) and (5,2) is 2.

Hope this helps! Sorry it took so long! ⸜(｡˃ ᵕ ˂ )⸝ xx

The slope of the line that passes through the points (2, -4) and (5, 2) is 2.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

slope = (y₂-y₁)/(x₂-x₁)

The slope of the line that passes through the points (2, -4) and (5, 2) can be calculated as shown below,

Slope = (y₂-y₁)/(x₂-x₁) =  [2 - (-4)] / (5 - 2)= 6/3 = 2

Hence, the slope of the line that passes through the points (2, -4) and (5, 2) is 2.

Learn more about Slope of Line here:

https://brainly.com/question/14511992

#SPJ2

Answer:

Below in bold.

Step-by-step explanation:

Standard form:

-12x⁴ - 6x² + 3.

Leading Coefficient:

-12.

The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.

An equation is an expression that shows the relationship between two numbers and variables.

An exponential function is in the form:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

Let f(t) represents the number of subscribers and t represents the time in months. Hence:

[tex]f(t) = 250(1.4)^t[/tex]

a = 250, b = 1.4

The cell phone carrier had 250 subscribers before the strategy was introduced. After the new strategy is introduced, the number of staffs increased by a factor of 1.4.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: 250,      1 month,      and    1.4

A substance is tested and has a Ph of 7.0. It would be a weak acid.

The correct option is (c) a weak acid .

What is the nature of substance if the pH is less than 7?

What is pH?

Learn more about pH

brainly.com/question/27945512

#SPJ4

Expected value of playing the game  = $0.8

What is cost ?

Cost of playing = $2

Expected return

10% chance to win $1 = $1  10% = $0.1

25% chance to win back $2 = $2  25% = $0.5

50% chance to win $5 = $5  50% = $2.5

15% chance to lose $2 (being cost) = $2  15% = ($0.3)

= $0.1 + $0.5 + $2.5 - $0.3 = $2.8

Now for this we have to pay fixed cost $2

Thus, expected value of playing game = $2.8 - $2 = $0.8

Learn more about cost

brainly.com/question/14814998

#SPJ4

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

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

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

Answer:

8.5/12 m

Step-by-step explanation:

1. calculate the metres above the ground

2. therefore, 8.5 out of the total 12 metres are above ground

hope this helps :)

==========================================================

Reason:

The only even prime number is 2. The other primes are odd.

The list of the first few primes are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43

A prime is any number that has factors of 1 and itself, and nothing else.

For instance, 13 is prime because 1 and 13 are the only factors.

-----------

As you can see, if we want a two digit prime number, then the units digit must be odd. Otherwise, 2 is a factor making it not prime (aka composite).

So far we see that the units digit is 1, 3, 5, 7, or 9. But wait, if 5 is the units digit then 5 is a factor. Eg: 5 is a factor of 35 since 5*7 = 35. Refer to the divisibility by 5 rule.

So we reduce the list of choices to 1, 3, 7, 9 for the units digit.

Unfortunately 9 is not in the list of original numbers given, so we can't use it. We really have 1, 3, or 7 as our choices to form the units digit of the two-digit number.

-----------

Let's try to build some primes.

Pick the smallest odd number 1 as the units digit. Then pick 2 as the tens digit. The number 21 is composite because 21 = 7*3, so we rule it out.

On the other hand, 31 is prime since only 1 and 31 are factors.

The problem is that now "3" is tied up and cannot be used for another prime. The good news is that 41 is prime and that's what I'll go with.

Cross 1 and 4 off the list.

The next odd number is 3 which is our units digit. The value 23 is prime.

So far we have 41 and 23 as our two primes.

Like mentioned earlier, we cannot use 5 as the units digit. The number 57 is not prime because 57 = 19*3. So we'll skip over 5.

The number 67 is prime for similar reasoning mentioned earlier.

------------

We have these primes: 41, 23, 67

The next number either 58 or 85 isn't prime

This is one way to show an example of why we're only able to get 3 primes out of this.

the sum between negative 4 and 13, this can be tought as:

The expression is just the sum:

-4 + 13

So we have the sum between negative 4 and 13, this can be tought as:

Now, none of the written options (a, b, and c) depict any of this, so I assume that the correct option is the one that you did not write, which is option D.

If you want to learn more about expressions:

https://brainly.com/question/4344214

#SPJ1

3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.

What is diameter?

we know that

The diameter of the circle is equal to BD

Applying the Pythagoras Theorem

BD² = BE² + DE²

substitute the given values

BD² = (3)² + (2.5)²

BD² = 9 + 6.25

BD² = 15.25

BD = √15.25

BD = 3.9 cm

Therefore , 3.9 cm is the smallest diameter of pipe that will fit the fiber optic line.

Learn more about diameter

brainly.com/question/5830326

#SPJ4

Answer:

Step-by-step explanation:

Answer: A. 33

Step-by-step explanation:

Answer:

34 L

Step-by-step explanation:

there are four 100 km(s) in 400 km

so

8.5 * 4 is what you need to do to find your answer

8.5 * 4 = 34

34 L is your answer

Answer: No solution

Distribute the parenthesis

3x-15=2x-10+x

Combine like terms

3x-15=3x-10

This answer has no solution for x.

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the length and y represent the width. Hence:

x + 2y = 50

x = 50 - 2y

Also:

xy = 288

(50 - 2y)y = 288

y = 9; and y = 16

x = 32; and x = 18

The dimensions of the rectangular plot of land that sits on a riverbank is 32 m by 9 m or 18 m by 16 m.

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

Ten thousands place

Step-by-step explanation:

84 530 216

Frm here u can see that the 3 is in the ten thousands place

Answer:

See below

Step-by-step explanation:

Out of 25 games, they won 14

Fraction won = won / total = 14 / 25

Percent won = won /total * 100 % = 14/25 * 100 = .56 * 100 % = 56 %

To find the number of games lost

25-14 = 11

Fraction won = won / total = 11 / 25

Percent won = won /total * 100 % = 11/25 * 100 = .44 * 100 % = 44 %

To check your work, the percent total should be 100

56+44 = 100

Step-by-step explanation:

I assume the measuring cylinder measures the cm³ of its normally liquid content.

because for anything else we would need more information about the dimensions of the cylinder.

and so, originally the cylinder shows 40 cm³.

after dropping the stone in, how many cm³ of water is the cylinder then showing ?

let's first mention some facts we are going to use :

water weighs 1 kg (1000 g) per liter.

and 1 liter fits exactly into a cube of

10 cm × 10 cm × 10 cm = 1000 cm³

so, 1 cm³ water weighs exactly 1 g and has therefore a density of 1 g / cm³.

the stone has a density of 8.6 g / cm³, is therefore heavier than water and sinks (and replaces water correspondingly).

how many cm³ does the stone have (and replaces water) ?

well, it has 129 g, and 8.6 g of the stone fill a cm³.

so, it has

129 / 8.6 = 15 cm³

therefore, as these 15 cm³ of stone replace 15 cm³ of water, this is the same as putting 40 + 15 = 55 cm³ of water into the measuring cylinder.

and the cylinder reads now 55 cm³.

FYI : but there is still only 40 cm³ of water in there.

this is actually used to calculate the density of objects (by first weighing and then dropping them into the water to see how much water they replace).

Answer: 55 cm³.

Step-by-step explanation:

[tex]\displaystyle\\m_{stone}=129\ g\ \ \ \ \ \rho_{stone}=8,6\ \frac{g}{cm^3} \ \ \ \ \ V_{water}=40\ cm^3\ \ \ \ \ V=?.\\ \boxed {\rho=\frac{m}{V} }\\V=\frac{m}{\rho} \\V=V_{water}+V_{stone}\\V_{stone}=\frac{m_{stone}}{\rho_{stone}} \\V_{stone}=\frac{129}{8,6}\\V_{stone }=15\ cm^3.\\V=40+15\\V=55\ cm^3.[/tex]

Step-by-step explanation:

The result is 12 cm³ because to get the volume of a figure you have to multiply all the characters

The number of ways people can get off the elevator is 604800 ways.

In this question,

Number of people, n = 7

Number of floors, r = 10

The first person can leave elevator in one of 10 ways. Then second person has to choose from one of remaining 9 floors. Then third person in 8, fourth in 7 ways and so on.

Number of ways people can get off the elevator can be calculated as

⇒ [tex]nP_r=\frac{n!}{(n-r)!}[/tex]

⇒ [tex]10P_{7}=\frac{10!}{(10-7)!}[/tex]

⇒ [tex]10P_{7}=\frac{10!}{(3)!}[/tex]

⇒ [tex]10P_{7}=\frac{(10)(9)(8)(7)(6)(5)(4)3!}{(3)!}[/tex]

⇒ [tex]10P_{7}=(10)(9)(8)(7)(6)(5)(4)[/tex]

⇒ 604800 ways.

Hence we can conclude that the number of ways people can get off the elevator is 604800 ways.

Learn more about number of ways here

https://brainly.com/question/27992615

#SPJ4

Answer:

 29.9 cm³

Step-by-step explanation:

You want to know the volume represented by 1/3 of a cone that is 7 cm high and has a radius of 3.5 cm.

The volume of a cone is given by ...

  V = 1/3πr²h

The volume of the cone of interest is ...

  V = 1/3π(3.5 cm)²(7 cm) ≈ 89.797 cm³

1/3 of the volume is the amount of water that sloshed out of the cone. That volume is ...

  1/3(89.797 cm³) ≈ 29.9 cm³

They sloshed out about 29.9 cm³ before they drank the water.

<95141404393>

Answer:

5B; 7B; 1,024; see answer

Step-by-step explanation:

5.

We can see from the table that

a1 = 5

a2= 5·2 = 10

a3= 5·2·2 = 5·2² = 20

a4 = 5·2·2·2 = 5·2³ = 40

...

[tex]a_{n} = 5*2^{n-1}[/tex]

7.

Is given that the filter removes 90% of contaminated air

after run 1 :

100% air

90% contamination removed for 100% air

100% is 10%+10%+10%+10%+10%+10%+10%+10%+10%+10%

10% is still contaminated air

after run 2:

10% air

90% contamination removed for 10% air

10% is 1%+1%+1%+1%+1%+1%+1%+1%+1%+1%

1% is still contaminated air

after run 3:

1% air

90% contamination removed for 1% air

1% is .1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%+.1%

.1% is still contaminated air

11.

Figure 1 = 1 piece

Figure 2 = 4 pieces

Figure 3 = 4² = 16

...

[tex]Figure 6 = 4^{(6-1)} = 4^{5} = 1024[/tex]

12.

[tex](c+d)^{6} \\[/tex]

-we know that the coefficients should be 1, 6, 15, 20, 15, 6, 1

-we start with c to the lowest power 0 and d to the highest power 6  and end with  d to the lowest power 0 and c to the highest power 6

[tex](c+d)^{6} = 1*c^{0} d^{6} +6*c^{1} d^{5} +15*c^{2} d^{4} +20*c^{3} d^{3} +15*c^{4} d^{2} +6*c^{5} d^{1} +1*c^{6} d^{0}[/tex]

-we simplify to have the final answer:

[tex](c+d)^{6 } = d^{6} +6cd^{5} +15c^{2} d^{4} +20c^{3} d^{3} +15c^{4} d^{2} +6c^{5} d+c^{6}[/tex]

Answer:

99cm

Step-by-step explanation:

A meter is equal to 100cm

The rope is a metre (m) long but a centimetre (cm) less.

100cm - 1cm = 99cm

[tex] \: \: \: \: \: \: \: y = \frac{ - 7x}{8} + 4 \\ \: \: \: \: \: \: multiply \: all \: by \: 8 \\ \: \: \: \: \: \: \: \: 8y = - 7x + 32 \\ \: \: \: \: \: \: \: \: \: 7x + 8y = 32[/tex]

The value of u in the special triangle is 2√3

The complete question is added as an attachment

From the attached figure, the value of u can be calculated using the following sine trigonometry ratio

sin(x) = Opposite/Hypotenuse

Where

x = 30

Opposite = u

Hypotenuse = 4√3

Substitute the known values in the above equation

sin(30) = u/4√3

Multiply both sides of the equation by 4√3

u = 4√3 * sin(30)

Evaluate the trigonometry expression sin(30)

u = 4√3 * 1/2

Evaluate the product

u = 2√3

Hence, the value of u in the special triangle is 2√3

Read more about right triangles at:

https://brainly.com/question/2217700

#SPJ1

6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

The boundary length of any circular shape is known as the circumference.

A scale factor is a quantity multiplier (also known as a scale). The scaling factor for x, for instance, is represented by the letter "C" in the equation y = Cx. The factor would be 5 if y = 5x were the equation.

After scale factor 2 is applied, 6.4 cm must be the gasket's needed circumference.

It includes a rubber gasket with a 3.2 cm circumference. The circumference of the gasket has must be calculated after scaling up by factor 2.

Here,

3.2 cm is the gasket's circumference.

The circumference changed upon scale factor 2 dilatation.

Dilated gasket circumference: 2 * 3.2 = 6.4 cm

As a result, 6.4 cm is the needed circumference of the gasket following dilatation with a scale factor of 2.

To know more about scale factor visit:

https://brainly.com/question/14769343

#SPJ4

Answer:

6.4cm

Step-by-step explanation:

I Just Took the Test.

the radius of the new circle =5cm

5cm is your answer love

You will need 3 cans of paint to cover the two walls

We know that 1 can will cover 200 square feet of wall.

And here we have 2 walls, let's find the total area of these walls.

wall 1 is 20ft by 8ft, then its area is:

A = 20ft*8ft = 160ft^2

wall 2 is 40t by 8 ft, then its area is:

A'  = 40ft*8ft = 320ft^2

The total area is:

160ft^2 +  320ft^2 = 480ft^2

The number of cans of paint needed is given by the quotient between the total area and the area that each can cover.

N = 480ft^2/200ft^2 = 2.4

But we can't have a 0.4 of a can, so we should round to the next whole number, which is 3.

If you want to learn more about area:

https://brainly.com/question/24487155

#SPJ1

▪ [tex]\bold{\dfrac{2x-5}{x^{2} -2}}[/tex]

▪ [tex]\bold{\dfrac{dy}{dx}}[/tex]

[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]

» [tex] \tt{For \: \: y,}[/tex]

[tex]\longrightarrow\sf{y=v \dfrac{2x - 5}{ {x}^{2} - 2} }[/tex]

[tex]\longrightarrow\sf{\dfrac{dy}{dx} = \cfrac{ ( {x}^{2} - 2)(2) - (2x - 5)(2x)}{( {x}^{2} - {2}^{2} )}}[/tex]

[tex]\longrightarrow\sf{\cfrac{2 {x}^{2} - 4 - {4x}^{2} + 10x}{ ({x}^{2} - {2}^{2} )}}[/tex]

[tex]\longrightarrow{={ \boxed{\sf \cfrac{ - 2 {x}^{2} - 4 + 10x}{ ({x}^{2} - {2}^{2} )}}}}[/tex]

» [tex] \tt{At \: \: x = 2,}[/tex]

[tex]\longrightarrow\sf{ \dfrac{ - 2(2) {}^{2} + 10(2) - 4 }{( {2}^{2} - 2 {)}^{2} } }[/tex]

[tex]\longrightarrow\sf{\dfrac{ - 8 + 20 - 4}{4} }[/tex]

[tex]\longrightarrow\sf{ \dfrac{8}{4} }[/tex]

[tex]\longrightarrow{\sf = \boxed{\sf {2}}}[/tex] ✓

[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]

◆ The value of the given differential function at [tex]\sf{x=2}[/tex] is [tex]\sf{2.}[/tex]