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2 years ago

Which of the following statements is false?

Mathematics

2 answers:

Bumek [7]2 years ago

6 0

Answer:

the second one 6.5<6.05

Nezavi [6.7K]2 years ago

4 0

Answer:

6.5<6.05

Step-by-step explanation:

option b is false.....

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

<u>Step-by-step explanation:</u>

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

2 years ago

The yearbook club had a meeting. The meeting had 20 people, which is four-fifths of the club. How many people are in the club?

Rama09 [41]

There are 32 people in the yearbook club

4 0

2 years ago

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Pamela drove her car 99 kilometers and used 9 liters of fuel. She wants to know how many kilometers, (k), she can drive with 12

solong [7]

99 km ... 9 liters
x km ... 12 liters

If the relationship is proportional, we have

$\frac{99}{x} = \frac{9}{12}$

from where

$x = \frac{99*12}{9}= \frac{1188}{9}=\bold{132}$

The answer is 132 kilometers.

5 0

3 years ago

An isosceles triangle has sides of length x, x, and y. in addition, assume the triangle has perimeter 24. (a) find the rule for

ser-zykov [4K]

Answer:

A(x) = (24 -2x)√(6(x -6))

Step-by-step explanation:

Heron's formula for the area of a triangle in terms of sides a, b, and c is ...

A = √(s(s -a)(s -b)(s -c))

where s is the semi-perimeter.

Here, we have s = 24/2 = 12, and a = b = x, c = 24-2x. So, the area is ...

A = √(12(12 -x)(12 -x)(12 -(24 -2x)) = (12 -x)√(12(2x -12))

A = 2(12 -x)√(6(x -6))

8 0

3 years ago

Given the proportional steel cost, how much do 200 pounds of steel cost?

kotegsom [21]

Answer:

Your answer is B, 150

Step-by-step explanation:

If we look at the chart it says 160 pounds of steel is 120, so for example if we start from 40 we will have 30, so every time we add 40 pounds 30$ are added, meaning that 160+40=200, 120+30= 150, Thus B or 150 is our answer.

3 0

2 years ago

Read 2 more answers