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elixir [45]
3 years ago
5

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decrease

s rapidly. The relationship between the elapsed time,t, in seconds, and the number of bacteria, B(t), in the petri dish is modeled by the following function:
B(t)=9,300•(1/64)^t

Complete the following about the rate of change of the bacterial culture. Round your answer to two decimal places.

The bacterial culture loses 1/2 of its size every _________ seconds.

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer:

  0.17

Step-by-step explanation:

The function can be rewritten as ...

  B(t) = 9300·((1/2)^6)^t = 9300·(1/2)^(6t)

In order to multiply the number of bacteria by 1/2, the value of the exponent 6t must be equal to 1:

  6t = 1

  t = 1/6 ≈ 0.166667 ≈ 0.17

The culture loses half its size every 0.17 seconds.

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The length of the sides of four triangles are given. Determine which triangle is not a right triangle.a.5 mm, 12 mm, 13 mmb.20 m
gizmo_the_mogwai [7]
For a right triangle, the sum of the squares of two shorter side should be equal to the square of the third side. The calculations for each choices are shown below. 

a. (5 mm)² + (12 mm)² = 169 mm²    ;    (13 mm)² = 169 mm²   ;     EQUAL
b. (20 mm)² + (48 mm)² = 2704 mm²   ; (52 mm)² = 2704 mm²  ;    EQUAL
c. (6 mm)² + (8 mm)² = 100 mm²       ;    (10 mm)² = 100 mm²   ;     EQUAL
d. (11 mm)² + (24 mm)² = 697 mm² ;  (26 mm)² = 676 mm²  ;  NOT EQUAL

Therefore, the answer is letter D. 
7 0
3 years ago
A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 p
Dafna1 [17]

Answer:

option 4 ⇒ 236 lb.

Step-by-step explanation:

Best explanation of the question is as shown in the attached figure.

we will use the parallelogram method to calculate resultant force.

to get the length of the resultant force ⇒ use the cosines law

The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)

Applying at the question where b = F₁  , c = F₂  and  ∠A = ∠x

Given that F₁ = 100 pounds  , F₂ = 150 pounds  and  ∠x = 180° - 40° = 140°

∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481

∴ Resultant force = √55481 = 235.54 ≅ 236 pounds

The answer is option 4 ⇒ 236 lb.

8 0
3 years ago
Please someone help I don’t understand this
irina [24]

Answer:

336

Step-by-step explanation:

5 0
3 years ago
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vege
Arte-miy333 [17]

Answer:

47%

Step-by-step explanation:

3/4 of 5/8

3/4 • 5/8

15/32 = 0.46875 or 47%

7 0
3 years ago
If the volume of the pyramid is 72cm, what is its height in cm?
nydimaria [60]

it is b.9 because u have to multiply (w×h×l)/3

5 0
3 years ago
Read 2 more answers
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