A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
63, 49, 44, 46, 30, 52, 45, 46, 41, 25, 55, 65, 59, 48, 63,
66, 58, 44, 51, 29, 37, 62, 40, 46, 35, 39, 46, 31, 20, 41,
67, 35, 38, 45, 27, 32, 42, 30, 35, 50.

Construct a stem-and-leaf plot for the data. Complete parts a. and b.

Answer: g(-2)=-2

Step-by-step explanation:

g(x)=-x-4

g(-2)=-(-2)-4

g(-2)=2-4

g(-2)=-2

It does not violate the law of supply.

The law of supply states that the quantity of a good supplied (i.e., the amount owners or producers offer for sale) rises as the market price rises, and falls as the price falls. Conversely, the law of demand says that the quantity of a good demanded falls as the price rises, and vice versa.

we can also say that ,The law of supply says that a higher price will induce producers to supply a higher quantity to the market. Because businesses seek to increase revenue, when they expect to receive a higher price for something, they will produce more of it.

An increase in price almost always leads to an increase in the quantity supplied of that good or service, while a decrease in price will decrease the quantity supplied.

The law of supply is a fundamental principle of economic theory which states that, keeping other factors constant, an increase in price results in an increase in quantity supplied.In other words, there is a direct relationship between price and quantity: quantities respond in the same direction as price changes.

Hence ,It does not violate the law of supply.

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The two integers p and q are 12 and –2.

The product of two integer is –24

the difference between the two integer is 14

The sum of two integers is 10

if p+ q and pq are known then quadratic equation corresponding to roots as p and q is given by,

⇛ x^2 - (p+q)x + pq=0

simplify the value of p and q

⇛ x^2-10x-24=0

⇛ x^2-12x+2x-24=0

⇛ (x^2-12x)+(2x-24)=0

⇛ x(x-12)+2(x-12)=0

⇛ (x-12)(x+2)=0

The value of two integer are x=12,x=-2.

Hence, p and q are 12 and -2.

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Answer:

(0,-24)

y-int-->x=0

f(0)=(0-8)(0+3)

f(0) =(-8)(3)

f(0)= -24 where: f(x)=y

y= -24

Answer:

It is AUB=(0,-2,-1,0,1,2,7,8)

Step-by-step explanation:

A has (0 and 7)only

I has (2,8) only

and the union is (-2,-1,1)

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

The equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

We need to find the equivalent expression of 2y − 7x + 4x² + 3y + 7x.

2y − 7x + 4x² + 3y + 7x.

Solve the like terms in the expressions;

2y + 3y  − 7x + 7x + 4x²

5y + 4x²

Therefore, the equivalent expression of 2y − 7x + 4x2 + 3y + 7x is 5y + 4x². then correct option is D.

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The complete question is;

Find the equivalent expression of 2y − 7x + 4x2 + 3y + 7x.

A 4x2 − 14x + 5y

B 4x2 − 14x

C 4x2 + 14x + 5y

D 4x2 + 5y

Answer:

Step-by-step explanation:

4

a

2

+

4

a

b

+

b

2

Answer:

y= 2.25x +12.5

Step-by-step explanation:

sean had bought 30 ride tickets and the park admission for a total of 80 dollars. 30 x 2.25 is 67.5 for the rides, leaving 12.5 dollars for admission. therefore everyone who pays for admission has to pay 12.5 dollars. therefore y=2.25x +12.5. 'x' being the number of tickets bought and 'y' being the total money spent.

Answer:

Step-by-step explanation:

Zmax= 90l1 + 50l2

The objective function in a profit maximization model for the mixture of flammable liquids would be: Z = 90L1 + 50L2.

In a profit maximization model, the objective is to maximize the overall profit, which is represented by the variable Z in this case. The profit obtained from each ingredient is given by $90 for L1 and $50 for L2.

To maximize the total profit, we need to determine how much of each ingredient should be used in the mixture. Let L1 represent the amount of ingredient L1 used and L2 represent the amount of ingredient L2 used in the mixture.

The profit obtained from L1 is calculated by multiplying the amount (L1) by the profit per unit ($90.00), which is 90L1. Similarly, the profit obtained from L2 is calculated as 50L2.

The objective function Z represents the total profit, which is the sum of the profits obtained from both ingredients: Z = 90L1 + 50L2.

By maximizing the objective function Z, the model will determine the optimal values of L1 and L2 that result in the maximum profit for the mixture of flammable liquids.

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The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the line with an equation y = -2x + 8, the slope of the line is -2.

Two equations are said to be similar if they have the same slope, hence the slope of the line is -2 and it passes through the point (-3, 5), hence:

y - 5 = -2(x - (-3))

y = -2x - 1

The equation of the line passing through the point (-3,5) and is parallel to y = -2x + 8 is given by y = -2x - 1

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The number lines have a point that is equal to point P are number lines 1 and 3

On the initial number line, we have the following parameters

Range = -50 to 50

Point P = -40

Next, we determine the parameters of the number lines in the options

So, we have

Number line 1:

Range = -60 to 0

Point P = -40

Number line 2:

Range = -60 to 0

Point P = -20

Number line 3:

Range = -60 to 0

Point P = -40

Number line 4:

Range = -60 to 0

Point P = -45

Using the above as a guide, we can conclude that the number lines have a point that is equal to point P are number lines 1 and 3

Hence, the number lines have a point that is equal to point P are number lines 1 and 3

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Answer:A & C

Step-by-step explanation:

Answer:

open circle at 1 1/4 with an arrow pointing to the right towards 3

Step-by-step explanation:

you need to divide each side by 3/5 to get c all by itself when you divide fractions you keep change flip so it ends up being 5/4 or 1 and 1/4. Since be inequality is greater than and not greater than or equal to it will be an open circle and since z is greater than 1 and 1/4 the arrow will be pointing to the right

A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up then the original triangle is located at (5,-4), and vertex of the new triangle after the translation is equal to = (10, -3)

A triangle is graphed on a coordinate grid and then translated 5 units to the right and 1 unit up.

If one of the vertices of the original triangle is = (5,-4)

Then the vertex of the new triangle after the translation is,

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Based on the given conditions, formulate,

A triangle is 5 units right.

That means, +5

And Triangle is 1 unit up.

That means, +1

Original triangle is located at (5,-4)

So, we can write,

⇒ (5+5 , -4+1)

⇒ (10, -3)

Therefore, the new triangle after the translation is equal to = (10, -3).

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Answer:X=27

Step-by-step explanation:

(36-90)-180=54

54/2=27=x

Answer:

x = 27

Step-by-step explanation:

36 + ∠MON + 2x = 180

since ∠MON = 90

then 2x = 180 - 90 - 36

2x = 54

x = 27

The type of reasoning for the first statement is quantitative reasoning.

The type of reasoning for 2nd statement is logical reasoning.

Grade Point Average is defined as a score used to evaluate success during the whole of the degree program.

Students must have a minimum GPA of 2.0 in order to participate in school sports

Since Jim has a GPA of 2.75, thus he is eligible to play.

Therefore, the type of reasoning for this statement is quantitative reasoning.

The children's meal has always been free whenever the Yolanda family has gone to a certain local restaurant on a Tuesday.

When the Yolanda family visits that restaurant next Tuesday, the children's meal is free.

Therefore, the type of reasoning for this statement is logical reasoning.

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Answer:

40° and acute

Step-by-step explanation:

40 -0= 40 and anything below 90 degrees is an acute angle.

The angle is less than 90 itself so you would just use the blue number minus the other blue number which in this case is 0.

The equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50

The given parameters are

Cat litter = $11.50

Cat food = x

Sales tax = 5%

Total =16.80

The equation is then represented as

(Cat litter + Cat food) * (1 + Sales tax) = Total

So, we have

(11.50 + x) * (1 + 5%) = 16.80

Divide both sides by (1 + 5%)

11.50 + x  = 16

Evaluate the like terms

x = 4.50

Hence, the equation is (11.50 + x) * (1 + 5%) = 16.80 and the solution is $4.50

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Answer: 0.5

Step-by-step explanation:

1/2=0.5

Step-by-step explanation:

360-167=193

B=193°....

The function operation (f.g)(x) is solved by finding the composite function of the functions.

[tex](f.g)(x)= f(g(x))\\g(x) = \frac{1}{x} = f(\frac{1}{x})\\f(\frac{1}{x}): \frac{x}{2+x} \\(f.g)(x) = \frac{x}{2+x}[/tex]

The domain of this function is given as

[tex]domain = x < -2 or x > -2\\Interval notation (- infinity , -2) U (-2, inifnity)[/tex]

From the calculations above, the composite function is the ratio of x to x + 2, while the domain of this function moves from negative infinity to negative two and negative two to infinity.

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Including the food tax, Wes paid $29.975 for both lobster roll and ice cream.

Given that, the cost of lobster roll=$23, the cost of ice cream=$4.50 and the tax on prepared food=9%.

A tax is a compulsory financial charge or some other type of levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and various public expenditures (regional, local, or national), and tax compliance refers to policy actions and individual behaviour aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs.

Now tax on an ice cream =9% of 4.50

=9/100 × 4.50

=0.09 × 4.50=$0.405

The total cost of an ice cream=4.50+0.405=$4.905

Tax on lobster roll =9% of 23

=9/100 × 23=2.07

The total cost of a lobster roll=23+2.07

=$25.07

So, the total cost=4.905+25.07=$29.975

Therefore, including the food tax Wes paid $29.975 for both lobster roll and ice cream.

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the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.

We have 26 alphabets and 10 digits.

Now, we have ID's that have two letters followed by 5 numbers with no repeating numbers or letters.

So, the possible number of ID's will be calculated by using the permutation.

Possible ID's = 26 × 25 × 10 × 9 × 8 × 7 × 6

Possible ID's = 19,656,000

Number of ID's with the initials BP will be:

Number = 1 × 10 × 9 × 8 × 7 × 6

Number = 30,240

Probability = 30240 / 19,656,000

Probability = 0.0015

Therefore, we get that, the number of possible ID numbers are 19,656,000 and the probability of getting an ID with initial letters BP is 0.0015.

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The point-slope form which matches with the given graph is y - 2 = -3/4 (x - 6) which is option (B).

Given a line shown in the graph with points (6, 2)

We need to find the equation using the point-slope form as

= y - y₁ = m ( x - x₁)

Here m is the slope

To write this equation we need to find the slope for that we need another point.

We can observe the line cuts the axes on another point in the graph as

(-2, 8).

So slope (m) = y₂ - y₁ / x₂ - x₁

                     = 8 - 2 / -2 - 6

                     = 6 / -8

                     = -3 / 4

Now the point-slope equation form can be written as

= y - y₁ = m ( x - x₁)

= y - 2 = -3/4 (x - 6)

Therefore, the correct option is (B).

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Answer:

3x10-3

Step-by-step explanation:

9:3=3

the power 10^10 becomes the inverse so 10^-10. You need to subtract the exponents 7-10=-3 (following powers rules)

Answer:

25.12 cm

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