The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competi

Response:

Indeed, her projection exceeds the true answer. 120.78 divided by 9.9 equals 12.2. Given that 12.2 (the actual result) is more than her estimate of 12, she is correct.

Detailed explanation:

Refer to Response.

Answer:

Step-by-step explanation:

In each town, he can produce 1.13 times the number of villagers compared to the previous one.

This means that the population of each successive village will arise from multiplying the earlier village's population by 1.13.

This creates a sequence where the next value is derived by multiplying the previous one by a set constant, known as a Geometric Sequence, with the constant termed as the Common ratio.

The nth term in a Geometric Progression for any given number of terms can be determined using the formula:

Where a= First Term

r= common ratio

n= number of terms

Initially, the game assigned Chase 4 villagers.

Consequently, his first term a=4

The common ratio, r= 1.13

To find out the population of villagers in any specific town, utilize the formula:

For the 17th town, or n=17

The total number of villagers he can create will be calculated by inserting n=17 into the previous formula.

Given that the number of villagers cannot be in decimals, the amount of villagers that can be established in the 17th village is 28.

Answer:

25metres

Step-by-step explanation:

The garden's area can be expressed through the equation A(x) = -(x-25)²+625, where x represents the garden's width. The maximum area occurs when the derivative d[A(x)]/dx equals zero.

We start with A(x) = -(x-25)²+625.

The derivative is d[A(x)]/dx = -2(x-25).

Setting d[A(x)]/dx to zero gives:

-2(x-25) = 0.

Expanding the parentheses yields:

-2x + 50 = 0.

Next, simplifying gives:

-2x = -50.

Dividing both sides by -2 results in:

-2x/-2 = -50/-2.

x = 25metres

Thus, the optimal width of the garden for maximizing area is 25metres.

The requirements indicate that for every diamond acquired, 80 points are earned, plus 100 bonus points for finishing the level in under two minutes, and one must score more than 1220 points to proceed to the next level. To express this in terms of diamonds, if we denote d as the number of diamonds, we formulate an inequality: . Now let's solve the above equation: . Thus, to advance to the next level, one must collect at least 14 diamonds.

I think the equation can be expressed as follows:

4 – 0.25 g + 0.5 h

Next, we will compute the values using the provided inputs:

g = 10 and h = 5

This indicates that evaluating the equation involves substituting the variable values into the expression. Hence:

4 – 0.25 g + 0.5 h = 4 – 0.25 (10) + 0.5 (5)

4 – 0.25 g + 0.5 h = 4 – 2.5 + 2.5

4 – 0.25 g + 0.5 h = 4

 

The resulting value of the equation is:

4