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liubo4ka [24]
3 years ago
12

Which of the following are examples of exponential decay? select all that apply.

Mathematics
1 answer:
Katarina [22]3 years ago
5 0
B, C and D are exponential decay.

Half-lives are given by exponential function, and since they are decreasing, it is decay.
With the teams being eliminated, this is decay.
Bacteria can be represented by exponential functions, and it is decreasing.
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10. 10. If AB bisects CAF, and m&lt;EAF = 72°,<br>then the m&lt;BAF =​
never [62]

The measure of ∠BAF is 54°.

Solution:

DF and CE are intersecting lines.

m∠EAF = 72° and AB bisects ∠CAF.

∠EAF and ∠DAC are vertically opposite angles.

Vertical angle theorem:

<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>

∠DAC ≅ ∠EAF

m∠DAC = 72°

<em>Sum of the adjacent angles in a straight line = 180°</em>

m∠DAE + m∠EAF = 180°

m∠DAE + 72° = 180°

Subtract 72° from both sides.

m∠DAE = 108°

∠CAF and ∠DAE are vertically opposite angles.

⇒ m∠CAF = m∠DAE

⇒ m∠CAF = 108°

AB bisects ∠CAF means ∠CAB = ∠BAF

m∠CAB + m∠BAF = 108°

m∠BAF + m∠BAF = 108°

2 m∠BAF = 108°

Divide by 2 on both sides, we get

m∠BAF = 54°

Hence the measure of ∠BAF is 54°.

4 0
3 years ago
Use the graph below to fill in the blank with the correct number:
Alik [6]
Let
A(-3,0) \\ B(-2,2) \\ C(0,1) \\ D(1,-2)

we know that

Point A
A(-3,0) \\ for x=-3 \\ f(-3)=0

Point B
B(-2,2) \\ for x=-2 \\ f(-2)=2

Point C
C(0,1) \\ for x=0 \\ f(0)=1

Point D
D(1,-2) \\ for x=1 \\ f(1)=-2

therefore

the answer is
f(0)=1
4 0
3 years ago
Read 2 more answers
32x - 4 = 4x2 + 60 For the equation shown, choose the description of the solutions.
Furkat [3]
All to one side:

4x^2-32x+64 = 0,

divide by 4:

x^2 -8x + 16 = 0

apply formula or see that it is (x-4)^2!, so only x =4 is a root and it is double.
3 0
3 years ago
Read 2 more answers
What is f(7) for the rule of f(x)=-5x+10​
Anna35 [415]

Answer:

f(7) = - 25

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x), that is

f(7) = - 5(7) + 10 = - 35 + 10 = - 25

8 0
3 years ago
Plssssssss help........
Ludmilka [50]

the answer to ur problem will be -7/5

7 0
3 years ago
Read 2 more answers
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