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2 years ago

For the graph, which are possible functions of f and g?

Mathematics

1 answer:

GuDViN [60]2 years ago

5 0

Answer:

f= 3ˣ

g= (1/3)ˣ

Step-by-step explanation:

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A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte

vfiekz [6]

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

FV = future bacteria population = 50,000
PV = present bacteria population = 1000
r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1 = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

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1 year ago

Find the surface area of the pyramid

jolli1 [7]

The surface area is ≈ 451.92

5 0

2 years ago

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles

Mariulka [41]

Answer:

Step-by-step explanation:

volume = area of base * height = area of base * 9 = 72

-> area of base = 72/9 = 8

let a,b,c be the length of sides of isosceles right triangle base

we have a = b and a*b/2 = 8 ft2

-> a*a/2 = 8ft2

-> a*a = 16

-> a=4ft=b

have c^2 = a^2 + b^2 = 16 +16 = 32

-> c = $\sqrt{32}$ = 5.656 ft

Since i dont know that is DF, i calculate both a,b and c

3 0

3 years ago

Read 2 more answers

Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) Slope of the line m = ∞

b) Slope of the line m =0

Step-by-step explanation:

Explanation:-

Step(i):-

Given points are ( 7,7) and (7,-8)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

$m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite$

m = ∞

Step(ii):-

Given points are (-6,7) and (9,7)

Slope of the line

$m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

$m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0$

Slope of the line m =0

6 0

3 years ago

A box measures 1/6 ft. long, 1/4 ft. wide, and 1/3 ft. high. Find the volume of the box in inches. Do not include units in your

Viefleur [7K]

Answer:

Step-by-step explanation:

We know that the final answer has to be in inches.

To convert ft = in, multiply given ft. by 12.

1/6 = 1/6 * 12 = 2

1/4 = 0.25 * 12 = 3

1/3 = 0.3 * 12 = 4

2*3*4 = 23 cubic in.

6 0

1 year ago

Read 2 more answers

For the graph, which are possible functions of f and g? ​

For the graph, which are possible functions of f and g?