candidate a says that he is winning because current polling shows that he has 54% of the vote as opposed to his opponent who has 46% of the vote. the poll has a margin of error of plus or minus 5%. is candidate a giving an honest reading of the poll results? why or why not?

Each model should be produced on a weekly basis to maximize net profit is $75,900.

What is Net profit?

In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.

As given,

Number of products sold:

T ≥ 1.5G

Maximize Profit Z = 150T + 130G

Labor Constraint:

Labor hours Available:

Production Department:

Number of labor hours available per day = 58 × 7 = 406

Number of days in a week = 5

Number of lobor ours available per week = 406 × 5 = 2030

Assembly Department:

Number of labor hours available per day = 25 × 7 = 175

Number of days in a week = 5

Number of labor hours available per week = 175 × 5 = 875.

Labor hours Required:

Labor hours required for G1 model:

Labor hours required at Production department = 3.5G

Labor hours required at assembly department = 2G

Labor hours required for T1 model:

Labor hours required at Production department = 4T

Labor hours required at Assembly department = 1.5T

Total labor hours required at Production department = 3.5G + 4T

Total labor hours required at Assembly department = 2G + 1.5T.

Constraint:

Labor hours required ≤ Labor hours Available.

Production department Labor constraint

3.5G + 4T ≤ 2030

Assembly department Labor constraint:

2G + 1.5T ≤ 875

The function:

Maximum Profit Z = 150T +130G

Constraint:

3.5G +4T ≤ 2030

2G + 1.5T ≤ 875

T ≥ 1.5G

Suppose that for example:

10.5G +12T = 6090

 16G + 12T = 7000

Solve both equations simultaneously,

5.5G = 7000 - 6090

5.5G = 910

    G = 910/5.5

    G = 363

Since, T > G

Hence,

T = 363,

G = 165

Calculate Profit:

150T + 130G = 150 × 363 + 130 × 165

                     = 54450 + 21450

                     = 75900

Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.

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Answer:

k = 2.5

Step-by-step explanation:

k = 2 / 5 * 6

k = 12 / 5

Answer:

C. Consecutive Exterior Angles Theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent

Answer:

B

Step-by-step explanation:

The value of x using similar triangles theorem is = 13/3.

Triangles that resemble one another but may not be exactly the same size are said to be comparable triangles.

When two objects have the same shape but different sizes, they can be said to be comparable.

This indicates that comparable shapes superimpose one another when amplified or de-magnified.

The term "Similarity" refers to this characteristic of like shapes.

Now in the given figure,

the proportion of the triangles' side is same.

So, 12/4 = 13/x

x = 13/3

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Answer:

my answer is 106.65 that is times

Answer:

$99.83

Step-by-step explanation:

The original price was lowered by $1.08, so the new price is $1.08 less than the original. Since the new price is $98.75, subtract $1.08 to get the original price. $98.75- 1.08= $99.83

List of perfect squares smaller than 10 are: {1, 4, 9}

Subtract 1 from each value to get a new list of {0, 3, 8}

None of these new values are a factor of 12.

The possible answers are: 0, 3, and 8

Answer:

B. 5/18

Step-by-step explanation:

We have to digits taking the 0, they are as follows:

1, 2, 3, 4, 5, 6, 7, 8, 9

In other words, there are 9 in total.

Odd are 5 (1, 3, 5, 7, 9)

Pairs are 4 (2, 4, 6, 8)

Now, we have that the probability of drawing an odd one would be: 5/9

and that also, already selected that number, there would be 8 in total.

Therefore, drawing another number that is even the probability would be: 4/8

So the final probability is:

(5/9) * (4/8) = 20/72, we simplify (divide by 4) and we have 5/18 left

In other words, the answer is B. 5/18

Answer:

b

Step-by-step explanation:

90°, because angle m<1 is 90.

Answer:

m < 2 + m < 3 = 90°

Step-by-step explanation:

90° = m < 2 + m < 3 ( exterior angle of  a triangle is equal to the sum of two opposite interior angle )

Answer:

18.33 m/s

Step-by-step explanation:

Convert units.

1 km = 1000 m

1 h = 3600 s

66 km/h × (1000 m)/(1 h) × (1 h)/(3600 s) = 18.33 m/s

Answer:

216

1000

9

5

Step-by-step explanation:

6³=216

10³=1000

\(( \sqrt[3]{9})^ {3} \)

=9

\( \sqrt[3]{125} \)

=5

Answer:

200 acres

Step-by-step explanation:

plz mark brianliest

because you have on tractor going 20 in 4hours you multiply by five giving you 100 and then times 2 because the hours are doubled

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

or

Put the values in the equation to get the value of 'a'.

or

hence, the value of a is 1/2.

In the long run, if a company becomes obsolete and cannot compete effectively in the market, it will eventually exit the market.

This will lead to a reduction in the overall level of industry output and a shift in the market supply curve. As a result, the long-run average total cost (LRATC) of the remaining firms in the market may increase or decrease depending on the specifics of the situation.

If the exiting company had high production costs, its exit may lead to a decrease in the industry's LRATC as the remaining firms may experience a reduction in input prices or an increase in market share. However, if the exiting firm was a low-cost producer, its exit may lead to an increase in the industry's LRATC due to the loss of economies of scale or increased competition.

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Answer:

Step-by-step explanation:

slope-intercept form is y=mx+b

m = slope = change in y/change in x

  change in y/change in x = 2/1

  m = 2

b = y intercept = y value when x = 0

  using the slope, go left 2 units and down 4

  when x = 0, y = 0

  b = 0

y = mx+b when m = 2 and b = 0

y = 2x+0

y = 2x

Answer:

18

Step-by-step explanation:

The equation of the line passing through the point (2, -6) and parallel to the line 5x - 6y = 3 can be written in standard form as 5x - 6y = c, where c is a constant.

To find the equation of a line parallel to another line, we need to consider that parallel lines have the same slope. The given line has the equation 5x - 6y = 3. We can rewrite this equation in slope-intercept form as y = (5/6)x - (1/2). The slope of this line is 5/6.

Since the desired line is parallel to the given line, it will also have a slope of 5/6. We can use the point-slope form of a line to find the equation. The point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Using the given point (2, -6), we substitute x1 = 2 and y1 = -6 into the point-slope form. We get y - (-6) = (5/6)(x - 2), which simplifies to y + 6 = (5/6)(x - 2).

To convert the equation to standard form, we eliminate fractions by multiplying through by 6, resulting in 6y + 36 = 5x - 10. Rearranging the terms, we obtain 5x - 6y = 46.

Therefore, the equation of the line passing through (2, -6) and parallel to 5x - 6y = 3 in standard form is 5x - 6y = 46.

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Using a system of equations, it is found that:

Leah takes 3 minutes to run a lap and 6 minutes to walk a lap.

The variables of the system of equations are presented as follows:

She requires 84 minutes to do 8 laps running and 10 laps walking, hence the first equation is:

8x + 10y = 84.

She requires 66 minutes to do 2 laps running and 10 laps walking, hence the second equation is:

2x + 10y = 66.

Simplifying by 2, we have that:

x + 5y = 33.

x = 33 - 5y.

Replacing in the first equation, we can find the time it takes to walk a lap, as follows:

8(33 - 5y) + 10y = 84.

264 - 40y + 10y = 84

30y = 180

y = 180/30

y = 6 minutes.

Then the time it takes to run a lap is obtained as follows:

x = 33 - 5y = 33 - 5(6) = 33 - 30 = 3 minutes.

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Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

\(d^2 = a^2 + b^2\)

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

\(d^2 = a^2 + a^2\\\\d^2 = 2a^2\)

The length of the side of the square is 9:

\(d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73\)

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

Answer :algebra

Step-by-step explanation:

\(52 \times 2 = 104\)

The recipe told her to add 104 g of flour

//

Proof:

\(104 \times 0.50 = 52\)

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Answer:

A, B, C

Step-by-step explanation:

Assuming the choices are:

A. \((x-2)(x^{4}+3)\)

B. \(x^{2} -1\)

C. A+\(x^{4} +16\)

D. \(\frac{1}{x} +2\)

Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.

Choice A already has a variable raised to a power greater than 1 (\(x^{4}\)), so no additional manipulation is needed.

Choice B also has a term that is already raised to a power greater than 1 (\(x^{2}\)). It is the same for choice C (\(x^{4}\)).

Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes \(x^{-1} +2\). Since -1 is less than 1, choice D is not a polynomial.

Answer:

Option D

Step-by-step explanation:

\(\\ \sf\longmapsto \dfrac{1}{x}+2\)

Simplify

\(\\ \sf\longmapsto x^{-1}+2\)

Degree is less than 1 .It's not a polynomial

The triangle △ABC is right-angled with a right angle at corner C and angle β at corner B and c=|AB|=5, and tanβ=4/1,  a= |BC|= 20 is the required value.

Given that the triangle △ABC is right-angled with a right angle at corner C and angle β at corner B and c=|AB|=5, and tanβ=4/1, we need to find a=|BC|.We know that in a right triangle, the Pythagorean Theorem is a2+b2=c2where a and b are the sides of the right triangle, and c is the hypotenuse.In this case, the hypotenuse is c=|AB|=5, and we need to find a=|BC|.Since we have the value of tanβ=4/1, we can use the formula,tanβ=4/1=a/cSo,a=c * tanβUsing the given values,a = 5 * 4/1a = 20Therefore, a= |BC|= 20 is the required value.

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Answer:

It is true because it is true.

Step-by-step explanation:

Why else would it be false?

Answer:

C

Step-by-step explanation:

\(x^2-2x-80=\)

\((x-10)(x+8)\)

You can confirm this by expanding this:

\((x-10)(x+8)=\)

\(x^2-10x+8x-80=\)

\(x^2-2x-80\)

Therefore, the answer is choice C. Hope this helps!

Answer:

C

Step-by-step explanation:

x^2-2x-80

(x^2+8)+(-10x-80)

factor out the -10 for -10x-80

=x(x+8)-10(x+8)

(x+8)(x-10)

pls mark me brainliest

Answer:

x=5

Step-by-step explanation:

x+7=10+2

x+7-7=12-7

x=5

The solution to the algebraic equation is x = 1.8

An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter

Given:  2/3 = 1.2/x

2/3 = 1.2/x        cross multiply

2 × x = 3 × 1.2

2x = 3.6

x = 3.6/2 = 1.8

Therefore, the solution to the problem is x = 1.8, so the correction option is  B.

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