On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime

Answer: Indeed, because the input value ranges from 0 to 12.

Step-by-step explanation:

To address this query, we first need to formulate a function that reflects the situation.

Every student engaging in community service earns the club $5

E(s) = 5 s

Where:

• E= total earnings
• n = number of students participating in community services (input value)

Indeed, since the input value n indicates how many students from the club engage in community service, and with the total number of students being 12, the input can indeed vary between 0 and 12.

Answer:

$12.18

Step-by-step explanation:

Provided:

The price of a 0.8 liter bottle of Mexican wine amounts to 101 pesos.

Consequently,

The price for 1 liter of Mexican wine can be determined as pesos.

Additionally,

Converting, 1 Mexican peso equates to 0.051 dollars.

As a result, the equivalent cost of 1 liter of Mexican wine is dollars.

Moreover,

Knowing that 1 gallon equals 3.78541 liters;

Thus, half a gallon equals = 1.892705 liters.

Therefore, the cost for a half-gallon jug would be dollars.

In conclusion, the price for a half-gallon of this wine is $12.18.

Response:

The coach should begin seeking players who weigh at least 269.55 pounds.

Step-by-step explanation:

We have these details from the question:

Average, μ = 225 pounds

Standard Deviation, σ = 43 pounds

The weights follow a bell curve, indicating a normal distribution.

Formula:

We need to establish the value of x that corresponds to a probability of 0.15

Review from the standard normal z table gives us:

Consequently, the coach should start recruiting players weighing at least 269.55 pounds.

Answer:

The variation constant is 1/9

The direct variation equation is expressed as y/x= 1/9

Step-by-step explanation:

In the case of direct variation, the formula y/x=k is used where k represents the constant of variation. For this situation, y denotes square yards and x represents square feet. Given that 27 square feet equals 3 square yards, we derive one coordinate (x₁, y₁) as (27 square feet, 3 square yards). Substituting x₁ and y₁ into our equation yields

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Consequently, the constant of variation is 1/9

Subsequently, as previously mentioned, y/x = k outlines the direct variation equation. Thus, we have y / x = 1/9 as our equation

* We can simplify the fraction since 3 divides both 3 and 27 evenly. To find the greatest common factor, you can list factors of each number and determine the highest shared factor.