Which expression uses the commutative property to make it easier to evaluate -12 · 13 · 1/3?
A. 12 · 13 · 1/3
B. -12 · 1/3 · 13
C. -1/3 · 13 · 12
D. 1/3 · 13 · (-12)

Answer:b = -0.0013a + 211

Step-by-step explanation:

Since the relationship is linear, we can use a linear equation. The formula in slope-intercept form is .

As the question specifies to use a for altitude and b for boiling point, change the variables equation to

b is the boiling point.

m is the slope.

a is the altitude.

c is the y-intercept.

To find the slope, we can use the equation  except x is a and y is b.

The sets of information given are:

8500 ​ft, the liquid boils at 199.95°  (This can be info set 1)

4300 ​ft, the liquid boils at 205.41°  (This can be info set 2)

Substitute the info sets into the equation. The subscripts mean which info set to get the numbers from.

m = -0.0013

Find the y-intercept by substituting m = -0.0013 and a random info set. I will use info set 1. Isolate c, the only variable.

b = ma + c

199.95 = (-0.0013)(8500) + c  <= Simplify

199.95 = -11.05 + c

199.95 + 11.05 = -11.05 + 11.05 + c  <=add 11.05 on both sides to isolate c

c = 211  <= y-intercept

Put the y-intercept and slope into the equation of a line:

b = ma + c

b = -0.0013a + 211 <= This is the equation for the problem.

Answer:

Step-by-step explanation:

list the side lengths of the triangle in order from longest to shortest

from the given triangle.

       ∠A = 180 - 65 - 30

      ∠A = 85

angle side relationship theorem:

In a triangle, the side opposite the larger angle is the longer side

Answer:

8 correct.

Step-by-step explanation:

80 / 100 = x / 40    (Since he got 80% INCORRECT you will subtract the value of x from 40)

100x = 80 x 40

x = 3200 / 100

x = 32

40 - 32 = 8

Answer:

A

Step-by-step explanation:

Answer:

60/4 if i get right can i please get brainliest?

Answer:

60 miles/ 4 gallons

Step-by-step explanation:

60 divided by 4 is 15

Answer:

[tex]x=\frac{13\pm\sqrt{73} }{8}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define equation

6x² - 13x + 6 = 2x²

Step 2: Rewrite in Standard Form

Step 3: Define

a = 4

b = -13

c = 6

Step 4: Solve for x/roots

And we have our final answer!

Given :   A graph with points (1, 3), (2, 7), (3, 8), (4, 11), (5, 12), (6, 13).

To find :  From Which two points the line of best fit goes through

Solution:

(3, 8) &  (5, 12) will be two points

as then line  points will be

( 1 ,  4 ) , ( 2, 6) , ( 3 , 8 ) , ( 4, 10) , (5 . 12)  & ( 6 , 14)

(1, 3)   will be below ( 1 ,  4 )

(2 , 7) will be above ( 2 , 6)

( 3 , 8 ) will be on line

(4 , 11 ) will be above ( 4 , 10)

( 5 , 12  ) will be on line

( 6 , 13)  will be below ( 6 ,  14 )

(1, 3)  & ( 6 , 13)  two points are below line

(2 , 7) & (4 , 11 )  two points above line

Hence points are Equally scattered above  & below line

Hence (3, 8) &  (5, 12) will be two points on   line of best fit

Hope it helpss !!

The two points which  the line of best fit go through to best represent the data in the scatter plot is Option A.

The points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be A

Let the two points be A and B

where the point A is A ( x₁ , y₁ ) = A ( 2 , 7 )

The point B ( x₂ , y₂ ) = B ( 1 , 3 )

Now , the equation of line is given by

y - y₁ = m ( x - x₁ )

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

m = ( 7 - 3 ) / 2 - 1 )

m = 4

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 7 = 4 ( x - 2 )

y - 7 = 4x - 8

y = 4x - 1

The equation of line is y = 4x - 1

So , the points which satisfies the line is  A ( 2 , 7 ) and   B ( 1 , 3 )

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If you can draw a vertical line through more than one point on the curve, then it's not a function. In this case, we can draw such a line. The graph is said to have failed the vertical line test.

What this means is that some x inputs lead to more than one y outputs. A function is only possible if any x input leads to exactly one y output. The x input must be in the domain.

Answer:

It is not a function.

Step-by-step explanation:

A relation's inputs are not repeated in a function.

Since the graph fails the vertical line test, it is not a function.

See picture.

Hope this helps.

Answer:

RD = 162 cm

Step-by-step explanation:

LD = 2 RL = 2* 54 = 108

RD = RL + LD

RD = 54 + 108

RD = 162 cm

The length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Point L is a centroid of the triangle FWD, If RL = 54 cm

From the centroid definition:

LD = 2RL

LD = 2×54 = 108 cm

RD = RL + LD

RD = 54 + 108

RD = 162 cm

Thus, the length of RD is 162 cm if Point L is a centroid of the triangle FWD, If RL = 54 cm option (B) is correct.

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Answer:

the answer is 2

Step-by-step explanation:

Answer:

16 the answer

Step-by-step explanation:

Answer:

okaaaay. this is 10 units to the y axis...

Step-by-step explanation:

Step-by-step explanation:

let, width= x

then length= x+5

if both are increased by 5 feet then

new width =x+5

and length = x+5+5=x+10

therefore

area =(x+5)×(x+10)

next are same as first one.Have a try.

Step-by-step explanation:

answer see in attachment

To estimate a number less than 5 we we should Round down for example 44 then 4 is less than 5 so it's estimated number is 40

Step-by-step explanation:

 Given data:

         Cars      Vans    Others

          60          21          3

The data represents the number of cars on a single day.

Find the relative frequency;

It is the number of times an event occurs.

Here the time frame is within a day;

  Relative frequency = [tex]\frac{number of cars + number of vans + others}{number of days}[/tex]  

  Relative frequency  = 60 + 21 + 3  = 84vehicles per day

ii.

Number of vans in a week;

      Number vans  in a week  = 21van per day x 7 days  = 147vans

Answer:

Step-by-step explanation:

1. f(x) = x^2 + 2

2. f(x) = 2x - 10

3. It is linear function as y- is an arithmetic sequence

4. As per the pairs we can determine the function:

5. The graph is parabola

6. Undefined as not clear what is it

Answer:

the answer is d. x >=4

Answer:

its b or d

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

Answer:

y=-1/9x+2.44

Step-by-step explanation:

m=y2-y1/x2-x1

1-2=(-1)

(-5)-4=(-9)

-1/9

y=mx+b

2=-1/9(4)+b

-1/9*4=-0.44444444444

-0.444.... rounded is -0.44

(-0.44)-(-0.44) =0

2-(-0.44 )=2.44

y=-1/9x+2.44

hope this helps

sorry if im wrong i had a lil trouble on this one :(

Answer: 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Step-by-step explanation:

Given: Cost per package of pels = $1.40

Cost per pad of paper = $1.20

Number of packages of pels bought = n

Number of pads of paper bought = m

So, 1.4n represents the cost of n packages of pels.

1.20m represents cost of m pads.

Entire expression 1.4n + 1.20m represents total cost of n packages of pels and m pads.

Meaning of 1.4n  =  cost of n packages of pels.

Meaning of 1.20 m = represents cost of m pads.

where , 1.4 = Cost per package of pels

1.2 =Cost per pad of paper

Answer:

d) all real numbers

Step-by-step explanation:

Answer:

D. all real numbers

Step-by-step explanation:

4(x + 3) - 7 >= x + 3(x + 1)

4x + 12 - 7 >= x + 3x + 3

4x + 5 >= 4x + 3

5 >= 3 which is correct

so the solution are all real numbers.

I hope this helps you :)

Answer:

4x+24 ft.

Step-by-step explanation:

Perimeter of first rectangular playpen mentioned: 2(6+x-4), which can be simplified to 2(x+2) = 2x + 4.

Perimeter of second playpen mentioned: 2(8+x+2), which can be simplified to 2(x+10) = 2x+20.

Add these two together: 2x+4 + 2x+20 = 4x+24. Don't forget to add units: 4x+24 ft.

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

The trigonometry identity is given as:

tan(2x)

When the tangent formula is applied, we have:

[tex]\tan(2x) = \frac{\sin(2x)}{\cos(2x)}[/tex] --- step 4

Expand sin(2x) and cos(2x)

[tex]\tan(2x) = \frac{2\sin(x)\cos(x)}{\cos^(x) - \sin^2(x)}[/tex] --- step 3

The option from the list that obey the above order is (a) 4, 3, 5, 1, 2

Hence, the correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2

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Answer:

A). 4,3,5,1,2

Step-by-step explanation: on edge

Answer:  86 degrees

Explanation:

Angle TSU is formed when we bisect angle RSU. Recall that bisect means to cut in half. So TSU is half of RSU. Put another way, RSU is twice that of TSU.

angle RSU = 2*(angle TSU)

angle RSU = 2*43

angle RSU = 86

Answer:

-3

Step-by-step explanation:

(1 + (-2-5))^2+-3X4

(1+(-3))^2 + -12

-3^2 -12

9-12

-3

Answer:

A

Step-by-step explanation:

The linear equation of inequality is y ≤ ( x/2 ) + 2

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The x intercept of the equation is when y = 0

So , A ( -4 , 0 ) is the x intercept

And , the y intercept is when x = 0

So , B ( 2 , 0 ) is the y intercept

Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted

Hence , the inequality is y ≤ ( x/2 ) + 2

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