There are 3 shapes present.
Triangle - 2
Circle - 4
Square - 2
Ratio of triangles to cirles: 2 triangles to 4 circles ⇒ 2/4
2/4 simplified to 1/2.
Answer:
You can recognize that .25 is 1/4, so 0.625 is 1/4 of the way
from 0.6 to 0.7
Answer and Explanation:
To find : Which number is in standard notation or scientific notation?
Solution :
Scientific notation is a special ways of writing the standard form of number.
Scientific notation make a big number into smaller way bye writing it into 10 to the power or using E.
Standard notation is like 12,47950585,89000.
Scientific notation is like
, 
So, Now we examine the numbers,
A)
is the Scientific notation.
B)
is the Standard notation.
C)
is the Scientific notation.
D)
is the Standard notation.
Answer:
a. v(t)= -6.78
+ 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=
=
. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒
v' + k
v = g
⇒ [v
]' = g
. Integrating, we have
∫ [v
]' = ∫g
v
= 
+ c
v(t)=
+ c
.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c
= 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78
. m/s = - 6.78
+ 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78
+ 16.33 m/s = 16.328 m/s ≅ 16.33 m/s
Answer:
-5x^2 - 25x + 18
Step-by-step explanation:
-3x ( x + 8 ) + x + 2 ( 9 - x - x^2 ) ( original equation )
-3x^2 - 24x + x + 18 - 2x - 2x^2 ( distribute )
-3x^2 - 2x^2 - 24x + x - 2x + 18 ( order them based on the variables . )
( -3x^2 - 2x^2 ) (- 24x + x - 2x ) ( + 18 ) ( just separated them not a part of solving !! )
-5x^2 - 25x + 18 ( solved , and the answer :) )
Hope its helps !!!