A 24-ft chain must be cut into two pieces so that one piece is twice as long as the other. Find the length of each piece of chain.

Answer:

Step-by-step explanation:

The properties of addition and multiplication allow you to rearrange and/or regroup the components of a sum or a product. That is the point of this exercise.

  (2·8)·7 = 2·(8·7) . . . . parentheses have moved: associative property

  2 + 7 + 8 = 8 + 2 + 7 . . . . order is rearranged: commutative property

  5·3·12 = 12·5·3  . . . . .  order is rearranged: commutative property

  (3 +5) +12 = 3 +(5 +12) . . . . parentheses have moved: associative property

_____

Additional comment

Whenever you're in doubt about the equivalence of numerical expressions, you can use your calculator to evaluate them. They will give the same result if they are equivalent. (You need a good scientific or graphing calculator that uses parentheses for this. Some seriously good calculators are available as low-cost phone apps.)

The Google search box also serves as input to the Google calculator. You can use an asterisk (*) for multiplication.

Answer:

9.29

Step-by-step explanation:

S₄ is the area using Simpson's rule and 4 intervals.

Simpson's rule can be calculated as:

Sᵢ = Δx/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 4f(xᵢ₋₂) + 2f(xᵢ₋₁) + f(xᵢ))

Or, Simpson's rule can be calculated as a combination of midpoint and trapezoid sums:

S₂ᵢ = (2Mᵢ + Tᵢ) / 3

Using the first method:

Δx = (4−0)/4 = 1

S₄ = 1/3 (1.00 + 4(1.41) + 2(2.24) + 4(3.16) + 4.12)

S₄ = 1/3 (27.88)

S₄ ≈ 9.29

Using the second method:

S₄ = (2M₂ + T₂) / 3

The midpoint area for 2 intervals is:

M₂ = (2) (1.41) + (2) (3.16) = 9.14

The trapezoid area for 2 intervals is:

T₂ = ½ (1.00 + 2.24) (2) + ½ (2.24 + 4.12) (2) = 9.60

Therefore:

S₄ = (2 (9.14) + 9.60) / 3

S₄ ≈ 9.29

Answer:

  DNE

Step-by-step explanation:

If x and y may be any real number, there is no minimum value for C. It can approach negative infinity.

If C is a constant, and the domain of x is all real numbers, there is no minimum for y. It can approach negative infinity.

We're not sure what you want or what restrictions may exist. The given relation does not suggest any minimum. We'd have to say it Does Not Exist.

Answer: X-axis

Step-by-step explanation: You can use the "Desmos Graphing Calculator".

Answer:

Step-by-step explanation:

[tex]\bold{2x^2 + 5x= 5x +50}\\\\{}\ \ -5x\qquad -5x\\\\\bold{2x^2\ =\ 50}\\\\\div2\quad\ \ \div2\\\\\bold{x^2=25}\\\\\bold{x=5\quad\vee\quad x=-5}[/tex]

The value of k is equal to -5.5

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

[tex]a_n=a_1+(n-1)d[/tex]

Where:

Based on the the common difference of an arithmetic sequence, we have:

k - 2 - 3k = k + 7 - (k - 2)

-2k - 2 = k + 7 - k + 2

-2k - 2 = 9

-2k = 11

k = -11/2

k = -5.5

Read more on arithmetic sequence here: brainly.com/question/24989563

#SPJ6

Answer: x=0 y=2

Step-by-step explanation:

Answer:

-y+11

Step-by-step explanation:

(x-6)•2+(y+3)•2-(y+3)•2=16-(y+3)•2

(x-6)•2=-2y+10

(x-6)•=-2y/2+10/2

x-6=-y+5

x=-y+11

Answer:

D. X > 43

Step-by-step explanation:

You do not know the number of waffle cones sold yesterday, so let's make that the X.

The question says "sold more than 43" so we need an X and a 43.

But which sign to use?

The question says "more than 43" so that means X is bigger

The alligator > wants to eat the bigger number, so you use:

X > 43

Answer:

x > 43

Step-by-step explanation:

Answer:

212.54

Step-by-step explanation:

To find the mean, we take the sum of all numbers and divide by the total amount in the set

Total sum: 4676

Numbers in the set: 22

4676 divided by 22 = approx. 212.54

Answer:

C. 95:19

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

because the total number of students is 95 and those who play Spanish club is 19

Answer:

[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.

Step-by-step explanation:

Let as consider width of the door be x feet.

It is given that height of a door is 1.4 feet more than 2.3 times its width. So,

[tex]Height=2.3x+1.4[/tex]

The height of the door is 8.5 feet.

[tex]2.3x+1.4=8.5[/tex]

Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].

[tex]2.3x=8.5-1.4[/tex]

[tex]2.3x=7.1[/tex]

[tex]x=\dfrac{7.1}{2.3}[/tex]

[tex]x\approx 3.087[/tex]

So, the width of the door is about 3.087 feet.

Answer:

32

Step-by-step explanation:

In a full factorial experiment, there are usually 32 or 2⁵ treatments. This implies that there are usually  2 levels and 5 factors. From the description below, there is a list of the 32 treatments.

Factor A      Factor B      Factor C      Factor B      Factor E

lo                   hi                 hi                 hi                hi

hi                   low              hi                 hi                hi

hi                   hi                low               hi                hi

hi                   hi                 hi                 low             hi

hi                   hi                 hi                 hi               low

lo                   lo                 hi                 hi               hi

lo                   hi                 lo                 hi               hi

lo                   hi                 hi                 lo              hi

Answer:

Hsu makes $35,950.50 and Alkena makes $48,418.50

Step-by-step explanation:

Create a system of equations, where h is the amount Hsu makes and a is the amount Alkena makes:

a + h = 84,369

a = h + 12,468

Solve by substitution by plugging in h + 12,468 as a:

h + 12,468 + h =  84,369

2h + 12,468 = 84,369

2h = 71,901

h = 35,950.50

Plug this into the equation, a = h + 12,468 , to solve for a

a = 35,950.50 + 12,468

a = 48,418.50

So, Hsu makes $35,950.50 and Alkena makes $48,418.50

Answer:

-450

Step-by-step explanation:

5(3-12)(42-32)

5(-9)(10)

-45(10)

Answer:

-450

Step-by-step explanation:

5(3-12)(42-32)

5(-9)(10)

-45(10)

= -450

Answer:

Till tomorrow

TT Definition / TT Means

The definition of TT is "Telegrahic Transfer" or "Till tomorrow"

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

(50-10)=40/8=5

7. g(3) = 42

8. f(6) = - 124

9. g(15) = 3

10. h(-3) = 1/8

7. g(x) = 4x² + 6

g(3) = 4×3² + 6

= 4×9 + 6

= 36 + 6

= 42

8. f(x) = - 3x² - 4x + 8

f(6) = - 3×6² - 4×6 + 8

= - 3×36 - 24 + 8

= - 108 -16

= - 124

9. g(x) = √(x - 6)

g(15) = √(15 - 6)

= √9

= 3

10. h(x) = 2ˣ

h(-3) = 2⁻³

= 1/2³

= 1/8

Answer:

5x+3>23

Step-by-step explanation:

x [tex]\geq[/tex]4

Answer:

[tex]\bold{\dfrac{1}{12}}[/tex]

Step-by-step explanation:

The dice is rolled 3 times.

To find:

The probability that a 4 will come up exactly twice = ?

Solution:

Let 4 comes up exactly twice, let the third number be [tex]x[/tex].

The possible outcomes can be:

([tex]x[/tex], 4, 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, [tex]x[/tex], 4) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

(4, 4, [tex]x[/tex]) where [tex]x[/tex] can be any number between 1 to 6 , so 6 outcomes.

So, the total number of favorable outcomes possible = 6 + 6 + 6 = 18

Total number of outcomes that can be possible at roll of 3 dice:

6 [tex]\times[/tex] 6 [tex]\times[/tex] 6  = 216

Formula for probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(\text{exact 2 fours}) = \dfrac{18}{216}\\\Rightarrow \bold{P(\text{exact 2 fours}) = \dfrac{1}{12}}[/tex]

Answer: 3 2

Wrong 1 5 6 4

Step-by-step explanation:

Step-by-step explanation:

we have the equation

[tex]C=1.02x+153[/tex]

19. cost when x=250

[tex]C=1.02(250)+153\\\\C=408[/tex]dollars

20. what does the slope means in the context

it means the regular increase of the cost, in other words, how much is the cost increasing per mile driven

21. what does the y-intercept means in the context

it means the starting cost of only renting the car one day, not even driving it, it's the lowest cost you can get

Answer:

(-1,-4)

Step-by-step explanation:

USE A1 + A2 / 2 AND B1 + B2 / 2

A1 + A2 / 2

= (-6+4) / 2

= -2/2

= -1

B2 + B1 / 2

= (-6+(-2)) / 2

= -8 / 2

= -4

therefore, (-1,-4) is your midpoint.

Answer:

Step-by-step explanation:

That is cheating no help for you sorry

Answer:

a

           [tex]a \to b[/tex]

         [tex]\neg b[/tex]

         [tex]\neg a[/tex]

b

If  all prime numbers are odd, then 2 is  odd.

2 is not odd.

Therefore, it is not the case that all prime numbers are odd.

Step-by-step explanation:

Considering part A

 The  first sentence is  

If all computer programs contain errors, then this program contains an error.

   The second sentence is

This program does not contain an error.

     The third  sentence is

Therefore, it is not the case that all computer programs contain errors.

Now we will use  a and  b  as the letter to denote the component sentences and   [tex]\neg a[/tex]  and [tex]\neg b[/tex] when the component sentences is not the case

So  a =  If all computer programs contain errors

and  

     b =  this program contains an error.

Generally then is represented as [tex]\to[/tex]

Hence the first sentence is denoted as  

         [tex]a \to b[/tex]

The  second sentence is represented as

            [tex]\neg b[/tex]

The  third sentence is represented as

           [tex]\neg a[/tex]

So part a can be represented as

      [tex]a \to b[/tex]

         [tex]\neg b[/tex]

         [tex]\neg a[/tex]

Considering part B

Here the objective is to fill in the blank spaces so that the logic of the sentence in part b is as that in part a

    Now comparing the second statement  a and  b

                "This program does not contain an error" = "2 is not odd" = [tex]\neg b[/tex]

Hence      "this program contains an error." =  "2 is  odd" =  b

     Now comparing the third  statement  a and  b

Therefore, it is not the case that all computer programs contain errors.  

                                                =

     Therefore, it is not the case that all prime numbers are odd  

                                                =

                                                [tex]\neg a[/tex]

Hence

If all computer programs contain errors, = if all prime numbers are odd.= a                

Answer:

3/4 1/4

Step-by-step explanation:

Answer:

im pretty sure its three i did this question as well

Step-by-step explanation:

I converted each fraction into a decimal because its just eaiser for me that way and -3/4 is .75 and - 2/8 is -.25 and if you divide those you get three :)

Answer:

22

Step-by-step explanation:

4+18=22 if y is solved for 18 in the equation 4+y= the answer would be 22.

Answer:

22

Step-by-step explanation:

Evaluate y + 4 where y = 18:

y + 4 = 4 + 18

Hint: | Evaluate 4 + 18 using long addition.

| 1 |  

| 1 | 8

+ | | 4

| 2 | 2:

Answer: 22

Answer:

1/3

Step-by-step explanation:

Answer:

Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers.