Prime factorization of 2·5·2=2^2·5
Answer:
Adam
Step-by-step explanation:
Speed is calculated with the formula distance over time.
Convert all measurements to the same unit: ft/s.
<u>Speed of Frank:</u>
d/t
=11/s
<u>Speed of Emily:</u>
d/t
=86/10
=8.6/s
<u>Speed of Adam: </u>
There are 5280 feet in a mile.
d/t
=5280/388
=13.6/s
<u>Speed of Noah:</u>
There are 60 seconds in a minute.
d/t
=600/60
=10/s
Adam runs the fastest because 13.6 > 11 > 10 > 8.6.
Answer:
Step-by-step explanation:
(For a circle)
Circumference formula: π*2r
Area formula: π*r^2
1:
A)
π*2(3) =>6π=>18.84 m
B)
π*(3)^2=>9π=>28.27 m^2
2.
A)
π*2(3.1)=>6.2π=>19.47 m
B)
π*(3.1)^2=>9.61π=>30.19 m^2
Answer: 7/8 0.875 87.5%
Step-by-step explanation:
Answer:
y = -3x + 7
Step-by-step explanation:
Choosing two points from the given table:
Let (x1, y1) = (-3, 16)
(x2, y2) = (-1, 10)
Plug these given values into the slope formula:
m = (y2 - y1)/(x2 - x1)
= (10 - 16) / (-1 - (-3))
= -6 / (-1 + 3)
= -6/2
= -3
Therefore, the slope is -3.
Next, choose one of the points and plug into the <u>point-slope form</u>:
Let's use (-1, 10) as (x1, y1):
y - y1 = m(x - x1)
y - 10 = -3(x - (-1))
y - 10 = -3(x + 1)
y - 10 = -3x - 3
Add 10 on both sides to isolate y:
y - 10 + 10 = -3x - 3 + 10
y = -3x + 7
