Answer:
This is an arithmetic sequence with a common difference <em>d</em> of -5
Step-by-step explanation:
When you find out <em>d</em>, you realize the difference between the numbers to be -5. Since it is <em>d</em> and not common ratio <em>r</em>, it is an arithmetic sequence.
Answer and Step-by-step explanation:
When trying to figure this out, we know that the numbers have to be one after the other, like 1, 2, 3, 4, or 55. 56, 57, 58. The last digit in the numbers also have to add to 6.
<u>The answer is:</u>
100 + 101 + 102 + 103
It adds up to 406, and the integers are consecutive.
<u><em>#teamtrees #PAW (Plant And Water)</em></u>
<u><em></em></u>
<u><em>I hope this helps!</em></u>
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.

We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a <em>t</em>, so we can factor that out as well:

(-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.
Answer:
<h2>210 cm³</h2>
Step-by-step explanation:
let V represent the volume of the triangular prism
V = base × height
base = (7×6)/2 = 42/2 = 21
height = 10
then
V = 21×10 = 210