Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , 
n= 5 years, t = 23 years
Put all values in (i) , we get
Hence, after 23 years , 24 grams of element would remain.
Answer:
B) -|x + 3| = 3
D) |x + 3| + 6 = 3
Step-by-step explanation:
A) |x + 3| = 3
B) -|x + 3| = 3
Divide by -1
|x + 3| = -3
Absolute values are 0 or positive so this cannot have a solution
C) |x + 3| + 3 = 3
Subtract 3 from each side
|x + 3| + 3-3 = 3-3
|x + 3| = 0
D) |x + 3| + 6 = 3
Subtract 6 from each side
|x + 3| = -3
Absolute values are 0 or positive so this cannot have a solution
So they need $125 to start a slime business.
To get money Carrie start to sell cupcakes for 0.50 cents
Juanita will be selling cards for $2.25
Juanita is selling cards for $2.25 and she is selling at least 35 of them
Carrie is selling cupcakes for 0.50 cents and the number of cupvakes is three times the number of cards so we will multiply 35 x 3=105 number of cupcakes
Then we will multiply 0.50 cents x 105= $53.2 on the cupcakes.
After that, we will multiply $2.25 x 35 for the cards = 78.5
Finally add them together
78.5
+53.3
---------
$ 131.8
So they will have $131.8 after selling cupcakes and cards.
Hey there! :)
Answer:
1124.8 J.
Step-by-step explanation:
Given:
Distance: 25 meters.
Force: 70 N.
Direction: 50° with the horizontal.
Start by calculating the magnitude of the vector:
cos (50) = |x| / 70
70 · cos (50) = |x|
Solve:
44.99 ≈ |x|
This is the magnitude. To calculate the amount of work done, simply multiply by the distance she pushed the wheelbarrow:
44.99 × 25 ≈ 1124.8 J.
