MATHEMATICS COLLEGE

Can I get the answer for 3 4 5 6

Answers

Answer 1

Answer:

3) x=190, <BOC=85

4) x=177, <TOU=31

5) x=61, <LOM=110

6) x=55, <DOE=117

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Answers

If you are looking for what it is multiplied by it is 6. But for the number 4 it is 24 because 6 times 4 is 24

Answer:

The answer would be 24$

Step-by-step explanation:

If the relationship is proportional then it would be equal so if were adding 12 plus a number (which is 6) adds up which is 12 plus 6 = 18 plus 6 is our answer 24 then plus 6 is 30 as you can see we were adding by six proportionally and so the answer was 24

A bacterial culture starts with 500 bacteria and doubles in size every half-hour.(a) How many bacteria are there after 3 hours?
Answer: Since 3 hours equals 6 half-hours, the culture will have doubled 6 times.
Therefore, there will be
500 · 2
6 = 32,000
bacteria.
(b) How many bacteria are there after t hours?
Answer: Since t hours is the same as 2t half-hours, the culture will have doubled 2t
times. Therefore, there will be
500 · 2
2t
bacteria.
(c) How many bacteria are there after 40 minutes?
Answer: There are two possible answers depending on how you interpret the set-up
to the problem. If each bacterium in the culture doubles once every half-hour on the
half-hour, then each one will double after exactly 30 minutes, and then not again until
60 minutes have passed. In that case, there will be
500 · 2 = 1000
4
bacteria after 40 minutes.
On the other hand, if each bacterium doubles exactly once per half-hour, but at some
random time within that half-hour, then it makes sense to think of the population
function P(t) = 500 · 2
2t as continuous. In that case, since 40 minutes is
40
60
=
2
3
of an hour, the population will be
500 · 2
2
2
3 = 500 · 2
4
3 ≈ 1259
after 40 minutes.

Answers

Answer:

a). 32000

b). $T_(t)=500* 4^(t)$

c). 1259

Step-by-step explanation:

Growth of a bacteria is always exponential. Therefore, population of the bacteria is represented by the the geometric sequence.

Sum of the bacterial population after t hours will be represented by

$T_(n)=ar^(n)$

Where a = population at the start

r = ratio with the population is growing

n = time or duration of the growth in one hour

a). Population of 500 bacteria gets doubled after half an hour.

Or gets 4 times after an hour

This sequence will have a common ratio r = 4

and initial population a = 500

Therefore, population of the bacteria after 3 hours will be

$T_(3)=500* 4^(3)$

$T_(3)=32000$

b). After t hours number of bacteria will be represented by

$T_(t)=500* 4^(t)$

c). We have to calculate the population after 40 minutes.

That means duration 't' = 40 minutes of $(2)/(3)$ hours

By the formula,

$T_{(2)/(3)}=500* 4^{(2)/(3)}$

$T_{(2)/(3)}=1259.92$ ≈ 1259

Therefore, number of bacteria after 40 minutes will be 1259.

After 3 hours, there will be 32,000 bacteria in the culture, given that the bacteria double in size every half-hour. The number of bacteria at any given time depends on whether they double precisely every half-hour or continuously within that timeframe.

In this scenario, the population growth of the bacterial culture follows exponential growth, where it doubles every half-hour. To calculate the number of bacteria after 3 hours (equivalent to 6 half-hours), you can use the formula for exponential growth: P(t) = P₀ * $2^{(t/h)$ , where P(t) is the population at time t, P₀ is the initial population, t is the time in hours, and h is the time interval for doubling (in this case, 0.5 hours). Plugging in the values, you get P(3) = 500 * $2^{(3/0.5)$ = 32,000 bacteria.

This means that after 3 hours, there will be 32,000 bacteria in the culture. The explanation also addresses the alternate interpretation of continuous growth, where the population increases continuously within each half-hour, resulting in approximately 1259 bacteria after 40 minutes.

Learn more about time here: brainly.com/question/34222581

#SPJ3

More on the Leaning Tower of Pisa. Refer to the previous exercise. (a) In 1918 the lean was 2.9071 meters. (The coded value is 71.) Using the least-squares equation for the years 1975 to 1987, calculate a predicted value for the lean in 1918. (Note that you must use the coded value 18 for year.)

Answers

Answer:

2.9106

Step-by-step explanation:

According to the information of the problem

Year 75 76 77 78 79 80 81 82 83 84 85 86 87

Lean 642 644 656 667 673 688 696 698 713 717 725 742 757

If you use a linear regressor calculator you find that approximately

$y = 9.318 x - 61.123$

so you just find $x = 18$ and then the predicted value would be 106mm

therefore the predicted value for the lean in 1918 was 2.9106

The temperature right now is -3°F, and the forecasted high temperature is 2 °F. How many degrees will it have to warm to reach 2°F? 6.NS.5

Answers

Answer:

Step-by-step explanation:

Subtract the high temp from the low temp
2 - ( -3) = 2 + 3 = 5

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, which read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?

Answers

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

A company has two factories, factory A and factory B. The cost per item to produce q items in factory A is 200 + 3q q . The cost per item to produce q items in factory B is 400 + q 3q . Find an expression for the sum of these costs per item. Then divide this expression by 2 to find an expression for the average cost per item to produce q items in each factory.

Answers

Answer:

100

Step-by-step explanation:

200+3qq+400+q3q

200+3q²+400+3q²

3q²-3q²+400-200

q²=200

q²=200/2

q²=100

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