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Vesna [10]
3 years ago
12

A culture of 3,000 bacteria quadruples in number every 10 hours. Plt) represents the

Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

P(t) = 3000 * 4^(t/10)

Step-by-step explanation:

There is more than one way to get an exponential function out of the information given.  The way the question is worded, however, seems to suggest the following type of answer:

One general form of the exponential function is y = a·bx, where a is the initial value, and b is the growth or decay factor.  So right away we can say that a = 2300.

Now for the growth factor.  When something is increasing or decreasing by a certain percentage, we are adding or subtracting that percentage to the 100% (which is equal to 1) that exists currently.  So here we're increasing by 11%, or 0.11.  Then the growth factor b is (1 + 0.11), or 1.11.

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Hi, I need help with this question.
elena-14-01-66 [18.8K]

Answer:

  • 135 steps

Step-by-step explanation:

<u>Each member marches:</u>

  • 50 + 40 = 90 yards

<u>Convert this to feet:</u>

  • 1 yard = 3 feet
  • 90 yards = 3*90 feet = 270 feet

<u>Find the number of steps:</u>

  • 270/2 = 135 steps
7 0
3 years ago
Read 2 more answers
Select the correct answer from each drop-down menu. observe the functions below. complete the following sentences to compare the
MrRissso [65]

The answers will be:

  1. (4, 5)
  2. remain constant and increase
  3. g(x) exceeds the value of f(x)

<h3>What is Slope and curve?</h3>

a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).

b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).

c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:

 f(8) = 4·8 +3 = 35

 g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35

 g(8) > f(8)

d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).

To know more about Slope follow

brainly.com/question/3493733

7 0
3 years ago
Explain how to find 40x50 using mental math
Rudik [331]
Bscically DO 4x5 which is 20
NEXT add the two zeros
NOW you have 2,000
<span>40x50=2,000</span> 
3 0
3 years ago
Read 2 more answers
Hailey is scuba diving in the ocean. Her boat is anchored 300 feet away at a 30° angle of depression. If her diving partner is 2
Marianna [84]

Answer:

the answer is actually 313 ft not a single person has answered the correct answer... smh

Explanation:

313 ft

sinΘ = opp/hyp

Hailey's depth: x = 300sin30 = 150

partner's depth = 150 + 25 = 175

then, find horizontal distance

300^2 = 150^2 + b^2

b = 150 x square root of 3

then,

c^2 = (150 x square root of 3)^2 + (175)^2

c = 313.25

8 0
3 years ago
-5x-4y=10
strojnjashka [21]

Answer:

y intercept = (0, ~-\frac{5}{2} )

x intercept = (-2, ~0)

.

Step-by-step explanation:

-5x - 5y = 10

.

y intercept

\to x = 0

-5(0) - 4y = 10

-4y = 10

y = \frac{10}{-4}

y = -\frac{5}{2}

so, the answer is (0, ~-\frac{5}{2} )

.

x intercept

\to y = 0

-5x - 4(0) = 10

-5x = 10

x = \frac{10}{-5}

x = -2

so, the answer is (-2, ~0)

.

Happy to help :)

8 0
3 years ago
Read 2 more answers
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