The exponential function is given by y = 160(1.06)ˣ
<h3>
Exponential function</h3>
An exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the multiplier, y, x are variables.
Let y represent the amount of bacteria after x hours.
Given an initial 160 bacteria, hence a = 160.
Also b = 100% + 6% = 106% = 1.06
The exponential function is given by y = 160(1.06)ˣ
Find out more on Exponential function at: brainly.com/question/12940982
Answer:
The answer is 2
Step-by-step explanation:
The hypotenuses of the triangles are different. One is 4 and the other is 5.
Lets use ratios to find the relationship of the hypotenuse and the base.
2.5:5
Turn this into a fraction
2.5/5
Now divide
2.5/5 = 0.5
The base of the triangle is half the length of the hypotenuse.
So 4 is x’s hypotenuse so:
4 x 0.5 = 2
X = 2
Answer:
8/15
Step-by-step explanation:
Using Pythagorean Theorem the length of XZ is 15.
tan X = opposite / adjacent = YZ / XZ = 8 / 15.
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
= 
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
= 
( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = 
≈ 14.7 m ( to 3 significant figures )
Answer:
The triangles are similar due to AAA
Step-by-step explanation:
'The triangles ABC and DBE are similar because they have a common angle < B, and also angle < E is marked as congruent to angle < A. Then the third angle <C is going to be congruent to angle D as well due to the property of addition of internal angles of a triangle must add to 180 degrees.
Then the triangles are similar due to AAA
