Given the diagram shown below, find the value of 3x

Sample size:5

Mean: 53

Mean Absolute Deviation (MAD): 4.4

9514 1404 393

Explanation:

(a) Keep in mind the meaning of the variables:

With these definitions in mind, we can examine the constraints.

  x ≥ 0 . . . . . we cannot sell a negative number of PS4 units

  y ≥ 0 . . . . . we cannot sell a negative number of X.box 1 units

  y ≥ 5 . . . . . we intend to sell at least 5 X.box 1 units

  y ≤ 10 . . . . we cannot sell more than 10 X.box 1 units

  x + y ≤ 10 . . . . . we can sell at most 10 units total

(Please note that the constraints y ≥ 0 and y ≤ 10 are redundant to other more restrictive conditions.)

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(b) The objective function tells us the total profit:

  P(x, y) = 100x + 80y

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(c) Juan's goal: P(2, 7) = 100(2) +80(7) = 200 +560 = 760

  Justin's goal: P(4, 5) = 100(4) +80(5) = 400 +400 = 800

Meeting Justin's goal would result in more profit.

__

(d) It is not possible to sell a negative number of units*, so negative values for the variables do not make any sense. (This is consistent with the x≥0, y≥0 constraints above.)

_____

* Some linear programming problems plan for a certain number of returned items. Those could be considered to be negative sales.

Answer:

[tex]\boxed {\boxed {\sf m= \frac {-1}{2}}}[/tex]

Step-by-step explanation:

Slope is equal to the change in y over the change in x.

[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 1) and (4, -4). Therefore, if we match the values in the points to the corresponding variables:

Substitute the values into the formula.

[tex]m= \frac {-4-1}{4--6}[/tex]

Solve the numerator.

[tex]m= \frac {-5}{4--6}[/tex]

Solve the denominator.

[tex]m= \frac{-5}{10}[/tex]

Simplify the fraction. Both the numerator and denominator are divisible by 5.

[tex]m= \frac {-5/5}{10/5}[/tex]

[tex]m= \frac{-1}{2}[/tex]

The slope of the line is -1/2

Answer:

No ;

Step-by-step explanation:

Given ;

s2 = 10 ; n2 = 10 ; s1 = 12 ; n1 = 12

Hypothesis :

H0 : σ1² = σ2²

H1 : σ1² ≠ σ2²

The test statistic :

Ftest = s1² / s2² = 12² / 10² = 144 / 100 = 1.44

The Pvalue using the Pvalue from Ftest calculator :

Numerator df = 12 - 1 = 11

Denominator df = 10 - 1 = 9

Pvalue = 0.2969

At α = 0.1

If Pvalue > α ; Fail to reject H0

0.2969 > 0.1 ; Hence, we fail to reject the Null

Hence, we cannot conclude that variation exists

Answer:

2 out of 10

Step-by-step explanation:

Simple math

9514 1404 393

Answer:

  B. 9πx^6

Step-by-step explanation:

Putting the given radius into the area formula gives ...

  A = πr^2

  A = π(3x^3)^2 = π(3^2)(x^(3·2))

  A = 9πx^6

Answer:

I'll say that it is a scalene triangle because all of the sides of the triangle have different lengths.

Angle CAB is congruent to angle ACD because they are alternate interior angles (note the parallel lines AB and DE). So this makes angle CAB to be 50 degrees.

For similar reasoning, angle BCE = angle ABC = 80 degrees.

Focus on the angles that are centered at point C. Those three angles form a straight line so they add to 180 degrees.

(angle ACD) + (angle ACB) + (angle BCE) = 180

(50) + (angle ACB) + (80) = 180

(angle ACB) + 130 = 180

angle ACB = 180-130

angle ACB = 50 degrees

Ultimately, this leads to triangle ABC having the interior angles of A = 50, B = 80 and C = 50.

Because we have exactly two interior angles that are the same measure, this must mean triangle ABC is isosceles. The congruent angles are opposite the congruent sides, meaning that AB = BC.

Answer

Let the first no. be 2x

second no. =x

third no. =2x/3

A/Q

2x+x+2x/3=132

11x/3=132

x=36.

Hence the second no. is 36

let the first number be x

then second number=30-x

3x-2(30-x)=60

3x-60+2x=60

x=60+60

x=120

Answer: x = -3

Step-by-step explanation:

2y + x = -15

y = 2x

2y = 2(2x) = 4x

4x + x = -15

5x = -15

x = -3

you Look bEauTiful Today and EveRyday, and i think that's really Cool.

Decode this simple "riddle", to get the answer.

Answer:

The other persons answer is saying LETTER  C

Step-by-step explanation:

Owa Owa!

The temperature increased by 10°F.

Step-by-step explanation:

To solve this question, solve this equation:

[tex]-6+X=4[/tex]

Flip the equation so it is easier to solve:

[tex]4-(-6)=X[/tex]

Two negatives = A positive so:

[tex]4+6=X[/tex]

Then, add to solve the equation:

[tex]10=X[/tex]

The temperature increased by 10.

Answer:

72 rods

Step-by-step explanation:

First, find the volume of each rod, using the formula V = [tex]\pi[/tex]r²h

Plug in pi, the radius, and height, and solve:

V = [tex]\pi[/tex]r²h

V = (3.14)(2²)(60)

V = (3.14)(4)(60)

V = 753.6

So, each rod has 753.6 cm³ of steel.

Divide 54,259.2 by this to find how many rods it will make:

54,259.2 / 753.6

= 72

So, it will make 72 rods.

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

One way to find the midpoint is to start at either endpoint (A or B), and count how many spaces it takes to get to the other endpoint. You should count exactly 5 spaces. This means that the midpoint will have us travel 5/2 = 2.5 spaces when we start at either endpoint and walk to the other side.

If we start at point A and move 2.5 units up, then we'll arrive at (-2, 1.5)

If you start at point B (where the red x is) and move 2.5 units down, you'll get to (-2, 1.5)

The midpoint is located at (-2, 1.5)

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

Another method is to use the coordinates of A and B. Point A is located at (-2, -1) and point B is located at (-2, 4)

Focus on the x coordinates for now only. The x coordinates are -2 and -2, so they are the same in this case. Adding them up leads to -2+(-2) = -4. Then we divide by 2 to get -4/2 = -2. It turns out that if the coordinates are the same, then adding them up and dividing by two leads to the same coordinate value.

Now move onto the y coordinates. Points A and B have y coordinates of -1 and 4 respectively. They add to -1+4 = 3 and that cuts in half to 3/2 = 1.5

The results of -2 and 1.5 we got in the previous two paragraphs then immediately lead to the midpoint's exact location of (-2, 1.5)

[tex]38 + 7x - 21 = 9x + 9[/tex]

Combine like terms.

[tex]17 + 7x = 9x + 9[/tex]

Eliminate a x.

[tex]17 = 2x + 9[/tex]

[tex]8 = 2x[/tex]

[tex]x = 4[/tex]

38 + 7x - 21 = 9x + 9

7x + 17 = 9x + 9

Subtract both sides 9

7x + 17 - 9 = 9x + 9 - 9

7x + 8 = 9x

Subtract sides 7x

7x - 7x + 8 = 9x - 7x

8 = 2x

Divide both sides by 2

8 ÷ 2 = 2x ÷ 2

x = 4

9514 1404 393

Answer:

  9n^4

Step-by-step explanation:

The divisor and quotient can be interchanged to find the divisor:

  [tex]\dfrac{18n^6+27n^5-36n^4}{2n^2+3n-4}=\boxed{\text{Blank 1}}[/tex]

Such division is carried out by first finding the quotient of the highest-degree terms:

  [tex]\dfrac{18n^6}{2n^2}=\dfrac{18}{2}n^{6-2}=9n^4[/tex]

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...

  9n^4

_____

The attachment shows the long division.

Answer:

317.55

Step-by-step explanation:

87% = 87/100 so

(87*365)/100 = 317.55

Answer:

c  if i'm correct but its possible that its c

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

15 x 4 = 60

$60

Answer:

4 hours.

Step-by-step explanation:

We are looking for the amount of money Annie will need to earn 60.

Let the equation be 15+x=60.

The equation could be represented as 15+x=60, or 60-15=x.

The easier solution would be to subtract.

When we subtract 60-15 we get 45, therefore the value of x is 45 making the statements true.

15+45=60 and 60-15=45 as well.

We know she earns 15 an hour, so we have to see how many 15 we can add up to get to 60.

15+15+15+15=60, therefore she will need to work 4 hours.

Answer:

op.........bro.................................

Answer:

a=1,

If -a=1, then a =

a=1                                                                              

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

Answer:

19.375

Step-by-step explanation:

Hope this helps ;)

Answer: 19.375

Step-by-step explanation:

[-15(-1.5)]+[(-2.5) x 1.25]

[22.5]+[-3.125]

22.5-3.125= 19.375

Answer:

y=-(7)/(2)x-5

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

y = 7/2x + 2

Step-by-step explanation:

to make a parallel equation, you must make an equation that has the same slope, but different b intercepts. so, the equation must have 7/2x, and the b part can be any number.

Answer:

4/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Proportion of type O donors = 37/(37+43) = 37/80

300 × 37/80 = 138.75

139 donors out of 300 are type O.

A ratio shows us the number of times a number contains another number. The number of type O donors out of 300 is 139.

A ratio shows us the number of times a number contains another number.

Given that the ratio of type O to non-type O donors at a blood drive was 37:43. Therefore, the number of type O blood donors be represented by 37x and the number of non-type O blood donors be represented by 43x.

Now, the sum of type and non-type O donor is 300. Therefore, we can write,

37x + 43x = 300

80x = 300

x = 3.75

Further, the Number of type O donors out of 300 can be written as,

Number of type O donors out of 300 = 37x = 37(3.75) = 138.75 ≈ 139

Hence, the number of type O donors out of 300 is 139.

Learn more about Ratios here:

https://brainly.com/question/1504221

#SPJ2

Answer:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer:

Step-by-step explanation:

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

, √4=√2²=2inches

2√3,=2×√3=2×1.735=3.5inches

√6=√2×√3=1.4×1.7=2.4inches

In order

2 inches,2.4inches and 3.5 inches.

Answer: n=-2

Step-by-step explanation:

Given

The length of the football field is  [tex]300\ ft[/tex]

In the mile, it can be expressed as [tex]5.7\times 10^n\ mile[/tex]

Also, [tex]5280\ ft=1\ mile[/tex] or

[tex]1\ ft=\dfrac{1}{5280}\ miles\\\\1\ ft=1.893\times 10^{-4}\ miles[/tex]

converting [tex]300\ ft[/tex] to miles

[tex]\Rightarrow 300\times 1.893\times 10^{-4}\\\Rightarrow 5.68\times 10^{-2}\approx 5.7\times 10^{-2}[/tex]

Comparing it with the given value [tex]5.7\times 10^n\ mile[/tex]

we get [tex]n=-2[/tex]

Answer:

side- 7

area of square - side x side

7 x 7 - 49² cm

square - all sides are the same length

area - length * width

7 * 7 = 49