D. because from b to the horizontal line is 5 units, and to reflect it across the horizontal axis, you would add another 5 units, so you would get a total of 10 units. <span />
Answer:
Step-by-step explanation:
y^2 + x^2 = 65
y + x = 7......x = 7 - y
y^2 + (7 - y)^2 = 65
y^2 + (7 - y)(7 - y) = 65
y^2 + 49 - 7y - 7y + y^2 = 65
2y^2 - 14y + 49 = 65
2y^2 - 14y + 49 - 65 = 0
2y^2 - 14y - 16 = 0
2(y^2 - 7y - 8) = 0
2(y + 1)(y - 8) = 0
y + 1 = 0 y - 8 = 0
y = -1 y = 8
solution :
y = -1...........y + x = 7.....-1 + x = 7......x = 7 + 1......x = 8........(8,-1)
y = 8........y + x = 7.....8 + x = 7......x = 7 - 8........x = -1........(-1,8)
Answer:
Given that,
The number of grams A of a certain radioactive substance present at time, in years
from the present, t is given by the formula

a) To find the initial amount of this substance
At t=0, we get


We know that e^0=1 ( anything to the power zero is 1)
we get,

The initial amount of the substance is 45 grams
b)To find thehalf-life of this substance
To find t when the substance becames half the amount.
A=45/2
Substitute this we get,


Taking natural logarithm on both sides we get,







Half-life of this substance is 154.02
c) To find the amount of substance will be present around in 2500 years
Put t=2500
we get,




The amount of substance will be present around in 2500 years is 0.000585 grams
Answer:
The graph of g is translated down 5 units from the graph of f and stretched horizontally
Step-by-step explanation:
was correct on test :)
pls brainliest XD
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Answer:
351
Step-by-step explanation:
Complete question :
Vanilla= 36
Chocolate=21
Strawberry=24
Chocolate Chip=39
SOLUTION:
39 chocolate chip to 200 students = x chocolate chip to 1800 students
39/200 = x / 1800
Solving for 'x'
(200)(x) = (39)(1800)
200x = 70200
x = 70200/200
x = 351
OR
39 out of 200 picked chocolate chip
therefore, 39/200 = 0.195 = 19.5% ( 32.5% chose chocolate chip)
19.5% of 1800 = 0.195(1800) = 351 students