Answer:
oh expressions are numbers that represent variables
Answer:
4
Step-by-step explanation:
because if 4 represents 2 meters than 4 plus 4 equals 8 which is two times
Answer:
The volume ratio of Prism A to Prism B is
Step-by-step explanation:
Step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its surface areas is equal to the scale factor squared
Let
z-----> scale factor
x/y----> ratio of the surface area of Prism A to Prism B
so
we have
substitute
step 3
Find the volume ratio of Prism A to Prism B.
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x/y----> volume ratio of Prism A to Prism B
so
we have
substitute
Answer: Hello there!
We know that the culture has 2000 bacteria initially (at t = 0 min), and it doubles when t = 40min, again at t = 80 min, and so on
And the rate of grouth is proportional to the population, then we can obtain an expression of the form:
P(t) = 2000*k(t) where k(t) is the factor that defines the growth of the population:
we know that:
p(0) = 2000*k(0) = 2000
p(40) = 2000*k(40) = 2000*2 = 4000
p(80) = 2000*k(80) = 2000*2*2 = 8000
etc
then we can see that k(t) = 2^(t/40)
where k(0) = 1, k(40) = 2, k(80) = 2*2, etc
then the function that models the population of the culture is:
p(t) = 2000*2^(t/40)
where t is in minutes.
Answer:
∠CAD = 44⁰
∠ACD = 44⁰
∠ACB = 136⁰
∠ABC = 22⁰
Step-by-step explanation:
To calculate m∠CAD;
Line AD = Line DC,
thus ∠CAD = ∠ACD = ¹/₂(180 - 92°) [sum of angles in a triangle.]
∠CAD = ¹/₂ x 88 = 44⁰
Also, ∠ACD = 44⁰
To calculate m∠ACB;
∠ACB = 180 - ∠ACD [Sum of angles on a straight line]
∠ACB = 180 - 44
∠ACB = 136⁰
To calculate m∠ABC;
Line CB = Line CA
Thus, ∠ABC = ∠CAB = ¹/₂(180 - ∠ACB) [sum of angles in a triangle.]
∠ABC = ¹/₂(180 - 136)
∠ABC = ¹/₂ x 44
∠ABC = 22⁰