Using a Table to find the Constant of Proportionality
his table represents a proportional relationship. Use the table to identify the constant of proportionality between the
atio of the number of laps to the number of swimmers,

Answer:

when you divide 2by1you get 2so you can't really round off

Answer:

I think you mean C.

Step-by-step explanation:

f(x) / g(x) = (x + 3)(x - 3)

                ==========

                  (x - 3)(x - 1)

f(x)/g(x) = (x+3) / (x - 1)

- ∞ < 1 U 1 < 3 U 3 < ∞  

Step-by-step explanation:

Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

Answer:

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

Step-by-step explanation:

Hi

if she recieived 13 bills and 4 are 10 $? then we have 13-4= 9 20$ bills

so 4x10 +9x20 = 40+180 = 220

So yes it's true

Answer:

.78

Step-by-step explanation:

1.3 x0.6 is .78. easy peasy

Answer:

x=13

Step-by-step explanation:

C is the midpoint of line BD, BC=CD. 6x-16=4x+10, x=13

Answer:

Examples of PEMDAS: When we first learn math, equations only have one operation. We either add, subtract, multiply, or divide. Examples: 2 + 3 = 5 9 - 2 = 7 10 x 3 = 30 81/9 = 9.

Step-by-step explanation:

Answer:

Remember that PEMDAS requires you to solve Multiplication/Division from left to right based on whichever comes first. In this example, when moving from left to right, multiplication comes first so you would first perform 8 x 8 = 64

Hope this helps <3

Answer:

Corresponding angles are equal

8x + 2 = 7x + 9

8x - 7x = 9 - 2

x = 7

Answer:

Everything is good but the 7th one. it shold be 6.009x10^-3

Ex:-

[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.

but

.

[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.

There are six types of surds such as :

Answer:

12742π kilometers

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(r)π

r = 6371

Circumference = 12742π

If my answer is incorrect, pls correct me!

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Answer:

12742

Step-by-step explanation: Khan Academy

Answer:

143 = EFD

Step-by-step explanation:

The two angles form a straight line

AFD = 180

AFD = AFE + EFD

180 = 37+ EFD

180 -37 = EFD

143 = EFD

Answer:

it would be the 1st option or in other words the one on the top left

A logarithm is just the opposite function of exponentiation. The common logarithm is called the natural logarithm and the natural logarithm is called the base e logarithm. The value of log, 1257 is 3. The correct option is A.

In mathematics, logarithms are defined as the another way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm can be defined as the power to which a number should be raised to obtain some other values.

There are two types of logarithms, they are common and natural logarithm. The common logarithm defines how many times we have to multiply the number 10 to get the required output whereas the natural logarithm shows how many times we have to multiply 'e' to get the required output.

Here the value of log 1257 = 3.099 ≈ 3

Thus the correct option is A.

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Answer:

17.3

Step-by-step explanation:

let required number is x

100% of x =7.3

1% of x =7.3/100

1% of x= 0.073

237% of x=0.073*237

237% of x=17.3

Answer:

Step-by-step explanation:

1) -28r +14=-12r-2

-16r=-16

r=1

~~~~~~~~~~~~~~~~

2) -35x+5=6x-36

-41x=-41

x=1

Answer:

OD for a triangle to exist it must equal 180 degrees as a final and this one only equals 160

Answer:

D. The shape is nonexistent.

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

60+60+40 is 160.

160[tex]\neq[/tex]180

Answer:

35

x

6

−

4

7

35x   -   4

6            7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6x * 1/x = 6x/1 * 1/x the x on top cancels the x on bottom so

= 6/1 * 1/1 = 6

Answer: -22

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

m = 1

n = -3 (2) = -6

Given expression

2m - 4n (3m - 4)

Substitute values into the expression

=2(1) - 4(-6) (3(1) - 4)

Simplify by multiplication

=2 + 24 (3 - 4)

Simplify values in the parentheses

=2 + 24 (-1)

Simplify by multiplication

=2 - 24

Simplify by subtraction

=[tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

4.2

Step-by-step explanation:

d=sqrt[(x1-x2)^2+(y1-y2)^2]

d=sqrt[(5-8)^2+(-5+8)^2]

d=sqrt[(-3)^2+(3)^2]

d=sqrt[9+9]

sqrt18=4.24

Here we have a problem of reflections and of how these reflections affect lines. Here we will find that the reflection does not affect the pair of parallel lines, and in the flipped shape we still have a pair of parallel lines.

We can define two parallel lines as two lines that never meet.

And, for a given point (x, y), the simplest reflection across a horizontal line is the reflection across the x-axis (or the line y = 0) as it transforms the point into:

(x, - y)

And all the reflections across horizontal lines will only affect the y-value of the points.

Now, particularly, we have two vertical and parallel lines.

Notice that a vertical line is defined by its x-value, and the transformation we used does not affect the x-value, so a reflection across a horizontal line will not affect a vertical line.

From this, we can conclude that the reflection across a horizontal line will not affect the pair of vertical parallel lines, so at the end, we still have only one pair of parallel lines.

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Answer:

True

Step-by-step explanation:

If A/B and C/D are rational expression then

A/B*C/D

Or

A/B*C/D=A/C*B/D

It means that if A/B and C/D are rational expression then their product with each other will also be a rational expression.

Step-by-step explanation:

given,

K is between J and M, L is between K and M, M is between K and N. JN = 14, KM=4 and JK= KL= LM

NL=?

according to the question,

J-------K-------L------M--------N

We know,

KM= 4

KL+LM=4

KL+KL=4 (LM=KM)

2KL=4

KL=2

SO,

JK=KL=2 and LM=KL=2

we have ,

JN=14

JK+KM+MN= 14

2+4+MN=14

MN=8

Now,

NL=LM+MN= 2+8= 10

If a rock released with an initial velocity = u

If it falls under gravity 'g' for 't' seconds,

Expression to find the distance covered will be,

[tex]y=ut+\frac{1}{2}t^2[/tex]

If the initial velocity is zero expression for the distance covered will be,

[tex]y=\frac{1}{2}gt^2[/tex]

Here, g = Gravitational pull Or acceleration due to gravity

A). If the distance covered 'y' = 20 m

     And t = 4 seconds

     By substituting these values in the expression,

     [tex]20=\frac{1}{2}g(4)^2[/tex]

     [tex]20=8g[/tex]

     [tex]g=2.5[/tex] m per sec square

B). Average velocity of a free falling body = [tex]\frac{\text{Initial velocity}+\text{Final velocity}}{2}[/tex]

    Initial velocity of the object = 0

    Final velocity = [tex]g\times t[/tex]

                           = [tex]2.5\times 4[/tex]

                           = [tex]10[/tex] meter per sec.

    Therefore, average velocity = [tex]\frac{0+10}{2}[/tex]

                                                    = [tex]5[/tex] meter per second

C). Since, the rock hits the bottom after [tex]4[/tex] seconds,

     Velocity with which the rock will hit the ground [tex]=gt[/tex]

                                                                                     [tex]=10[/tex] m per sec.

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Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

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Answer:

Step-by-step explanation:

x = first number

x + 2 = second number

x + 4 = third number

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation: