PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak

Let's calculate the missing sides first. For the large triangle, we can utilize the Pythagorean theorem, which is a^2 + b^2 = c^2. Here, a^2 is 13^2 - 5^2, which results in 169 - 25 = 144. Therefore, the square root of a is equal to the square root of 144, which gives us a = 12.
For the smaller triangle, we compute 5^2 - 3^2 = b^2, yielding 25 - 16 = 9, so b = 4. The length of the Elm Trail totals 13 km + 5 km, making it 18 km, while the Dogwood Trail calculates to 12 + 5 + 4 + 3 = 24 km.
Thus, the correct selections are 2 and 5.

After two bites, the weight of the hamburger is recorded at 160g.

Each bite removes 20% of the burger's total weight, so to uncover the weight prior to the bites, we calculate it based on the percentage that remains.

The initial weight stands at 160g. Given that 20% of the weight was lost during a bite, we should divide this weight by the remaining percentage after the bite:



After a bite, 80% of the burger is what remains. Convert this percentage into a decimal by dividing it by 100:



Now, let's divide the original weight by this figure:



Before the second bite, the weight of the hamburger was 200g.

The same method will apply for the first bite. Initially, it weighed 200g, with 80% still intact after the initial bite. Since 80% converts to 0.8 in decimal form, divide 200 by 0.8:



Thus, the original weight of the hamburger prior to any bites was 250 grams.

Answer:

A correlation coefficient of +1 or -1 reflects a perfect linear relationship, but a 0.94 indicates a strong positive correlation between the aspen leaf's length and surface area, though not guaranteeing linearity.

Step-by-step explanation:

The correlation coefficient (r) ranges between +1 and −1, where +1 means perfect positive correlation, −1 means perfect negative correlation, and 0 means no correlation.

The closer r is to ±1, the stronger the correlation. Generally, values between 0.7 and 1, or −0.7 and −1, indicate a significant correlation.

While 0.94 shows a strong direct association between the leaf's length and surface area, it does not definitively prove a linear relationship is the best fit.

Response:

The CD will have a value of $2,729.09 after a duration of 10 years.Solution:

Initial investment (P) = $1500

Interest rate (r) = 6%

                             

                             = 0.06

Time period (t) = 10 years

Compounded on a monthly basis

Number of compounding intervals per time period

n = 12

A = Total amount

Formula for compound interest:

The CD will have a value of $2,729.09 after a span of 10 years.

Answer:

First, we must calculate the slope

m=Y2-Y1/X2-X1

= 9 - (-6) / 12 - (-8)

= 15/20

= 3/4

Therefore, the equation with the slope of 3/4 is Y=3/4x