Answer:
295 minutes
Step-by-step explanation:
It is given that Speedy the Sloth drinks tea at a steady rate of 2/7 cups per hour.
Yesterday she drank 1 cup and today she drank 17/42 of a cup more than yesterday. This means today she drank 1 + 17/42 cups.
Time taken to drink 2/7 of a cup = 1 hour = 60 minutes
Time taken to drink 1 cup = minutes
Time taken to drink 1+17/42 cups = minutes
Since she drinks tea as long as she stay awakes. This means, she stayed awake for 295 minutes today.
Area of rectangle = l × b = 16 × 8 = 128cm²
Area of 1 triangle = ½ × b × h = ½ × 2 × 2 = 2cm²
Area of 4 triangle = 2cm² × 4 = 8cm²
Area of shaded region
= Area of rectangle - Area of 4 triangle
= 128cm² - 8cm²
= 120cm²
Answer:
y = -0.9x+10.1
Step-by-step explanation:
The equation of the line is:
You have been asked to stimate m and b. To do so, first find the product between each pair of x and y and the value of x squared:
Then calculate the total sum of all columns:
m can be calculated following the next equation:
where n is the number of (x, y) couples (5 in our case).
Replacing the values calculated previously:
For b:
In the figure attached you can see the points given and the stimated line.
Answer:
B and C
Step-by-step explanation:
Using quadratic formula as it is shown in the attached picture