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jek_recluse [69]
3 years ago
9

The population of a bacteria after x number of hours is modeled by the expression 1 , 000 ( 0 . 75 ) x . What is the rate of dec

ay of the population of bacteria? A. 25% B. 75% C. 0.75% D. 1.25%
Mathematics
2 answers:
DerKrebs [107]3 years ago
7 0

Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

Afina-wow [57]3 years ago
4 0

Answer:

A 25%

Step-by-step explanation

the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.

in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.

we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x

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Factor the following expression 27y3 -343
Nesterboy [21]

27y^3 -343 starts out with 27y^3, and 343 is the cube of 7. Thus, we know immediately that 27y3 -343 is the diffeence of two squares.

The appropriate rule is a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Here, we have 27y3 -343 = (3y - 7)(9y^2 + 12y + 49)

4 0
3 years ago
The scatter plot shows a projection of the average ocelot population living in Laguna Atascosa National Wildlife Refuge near Bro
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Determine the volume if the figures below round to the nearest hundredth
elena-14-01-66 [18.8K]

Answer:

48 m³

4,186.67 km³

Step-by-step explanation:

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⅓×6×6×4 = 48 m³

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6 0
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7 0
3 years ago
A DVD player costs $96.34, with sales tax included. What is the original price of the DVD player if the sales tax rate is 8.25%?
Margaret [11]

The original price of the DVD player if the sales tax rate is 8.25% is $88.79

<h3>Sales tax</h3>

  • Cost of DVD player including tax = $96.34
  • Sales tax = 8.25%
  • Original cost = 8.25%

Total cost = original cost + (sales tax × original cost

96.34 = x + (8.5% × x)

96.34 = x + (0.085 × x)

96.34 = x + 0.085x

96.34 = 1.085x

x = 96.34 / 1.085

x = 88.7926267281105

Approximately,

x = $88.79

Learn more about sales tax:

brainly.com/question/9437038

#SPJ1

7 0
2 years ago
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