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3 years ago

Solve: 3(1-2x) > 3-6x

Mathematics

1 answer:

sweet [91]3 years ago

5 0

3(1 - 2x) > 3 - 6x use distributive property

(3)(1) + (3)(-2x) > 3 - 6x

3 - 6x > 3 - 6x add 6x to both sides

3 > 3 FALSE

Answer: NO SOLUTION

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The rate of change in the number of bacteria in a culture is proportional to the number present. In a certain laboratory experim

mezya [45]

Answer:

(a) $N(t)=10000e^{(\frac{ln5}{10})t }$

(b) 25,000

Step-by-step explanation:

Rate of change in the number of bacteria is proportional to the number present.

Let N is the population of bacteria.

$\frac{dN}{dt}$ ∝ N ⇒ $\frac{dN}{dt}=kt$ { k = proportionality constant}

initial population No. = 10,000

$N(t_{1} )$ = 20,000

and $N(t_{1}+10 )=100,000$

(a) For population growth

$N(t)=N_{0}e^{kt}=10000e^{kt}$

$N(t_1)=10,000e^{kt_1}=20,000$

$e^{kt}=2$

$ln(e^{kt_1})=ln(2)$

$kt_1=ln(2)$

$t_{1}=\frac{ln2}{k}$ ----------(1)

$N(t_1+t_{10})=100,000$

$100,000=10,000e^{k(t_1+10)}$

$10=e^{k(t_1+10)}$

$ln10=ln[e^{k(t_1+10)}]$

$k(t_1+10)=ln10$

$k(t_1)=ln10-10k$

$t_1=\frac{ln10-10k}{k}$ ----------(2)

from equation (1) and (2)

$\frac{ln_2}{k}=\frac{ln10-10k}{k}$

$ln10-ln2=10k$

$k=\frac{ln5}{10}$

so expression will be

$N(t)=10000e^{(\frac{ln5}{10})t }$

(b) for t = 20

$N_{(20)}=10,000e\frac{ln5}{10}\times 20$

= $10,000\times e^{2ln5}$

= 10,000 × 25

= 25,000

(c) Since $t_1=\frac{ln2}{k}$ [from equation (1)]

$=\frac{ln2}{\frac{ln5}{10} }$

$=\frac{ln2}{ln5}\times 10$

= 4.3068

= 4.3068 min.

6 0

3 years ago

The home plate at a baseball game measures 17 inches across what is the measurement in feet and inches?

aliina [53]

Answer:

b. 1 foot 5 inches

Step-by-step explanation:

because one foot is 12 inches

4 0

3 years ago

Solve this steps not needed

777dan777 [17]

Hi!

When you add a negative number, you really just subtract it. So let's solve this.

Convert the mixed numbers into improper fractions.

$\frac{434}{9} - \frac{351}{9}$

Solve

434 - 351 = 83

$\frac{83}{9}$

The sign of this fraction is positive

Hope this helps! :)

-Peredhel

4 0

4 years ago

Read 2 more answers

A scale measured a 4.5-pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?

kumpel [21]

The correct option is B.

5 pound

The number (5.<u>3</u>) after Decimal is <5 so it round off to 5.

<h3>What is the property of rounding off numbers to one decimal place?</h3>

It is the same to round a number to one decimal place as to the nearest tenths. At this instance, it is known which numeral is in the hundredths position. When the number in the hundredths place is higher than or equal to 5, the tenths digit is raised by one unit.

<h3>How do you round off decimals examples?</h3>

A typical rule of thumb is to glance at the digit immediately to the right of the place value you want to round to and make your choice. For instance, rounding 5.1837 to the closest hundredth would result in 5.18 (because 3<5), whereas rounding 5.184 to the nearest thousandth would result in 5.184 (because 7>5).

To know more about the decimal number visit:

brainly.com/question/4708407

#SPJ4

I understand that the question your are looking for is:

A scale measured a 4.5-pound brick as weighing 5.3 pounds. which measurement is more accurate but less precise than 5.3 pounds?

A. 4.98 pounds

B. 5 pounds

C. 5.52 pounds

D. 6 pounds

4 0

2 years ago

F(x)=5x+3 find f(-2)

Aleonysh [2.5K]

F(x) = 5x + 3
f(-2) = 5(-2) + 3
f(-2) = -10 + 3
f(-2) = -7

f(-2) = -7 is your answer

hope this helps

5 0

3 years ago

Read 2 more answers