Answer:
65.56°
Step-by-step explanation:
We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them
That is let p and q be any two vectors and A be the angle between them
So, p·q=|p|*|q|*cosA
⇒
Given u=-8i-3j and v=-8i+8j
let A be angle before u and v
therefore,
⇒
Therefore angle between u and v is 65.56°
Answer:0.75 milligrams will be present in 24 hours
Step-by-step explanation:
Step 1
The formula for radioactive decay can be written as
N(t)=No (1/2)^(t/t 1/2)
where
No= The amount of the radioactive substance at time=0=milligrams
t 1/2= the half-life= 6 hours
t=24 hours
N(t) = the amount at time t
Step 2--- Solving
N(t)=No (1/2)^(t/t 1/2)
=N(t)=12 x ( 1/2) ^ (24/6)
= 12 x (1/2) ^4
= 12 x 0.0625
= 0.75 milligrams
Let “x” represent the cost of the dryer in dollars
The washer costs 3x dollars
3x + x = 1000
4x = 1000
x = 250
The dryer is $250
Answer:
x =25
Step-by-step explanation:
This is an isosceles triangle because RS = ST
that means <r = <STR
4x-70 = STR
<STR + <STU = 180 straight line
subtract < STU from each side
<STR = 180 -<STU
we know angle stu = 6x
<STR = 180 -6x
we can substitute this into 4x-70 = STR
4x-70 = 180 -6x
add 6x to each side
4x+6x -70 = 180 -6x+6x
10x -70 = 180
add 70 to each side
10x-70+70 = 180+70
10x=250
divide by 10
10x/10 = 250/10
x =25
G `( x ) =
2 + k x = 0
k x = -2
k = -2: x = - 2 : 2/3 = - 2 * 3/2
k = - 3Answer:
for k= - 3, the function g ( x ) have a critical point at x = 2/3.