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MAVERICK [17]
3 years ago
8

Question A) Work out the distance travelled on a cycle in the first 14 seconds.

Mathematics
1 answer:
Ket [755]3 years ago
4 0

Answer:

96m

Step-by-step explanation:

distance traveled =

area of the graph( up to 14 sec)

= (1/2*4*8)+(8*10)

= 16 + 80 = 96

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A culture started with 5000 bacteria after 5 hours it grew to 6500 bacteria predict how many bacteria will be present after 16 h
postnew [5]

Answer:

After 16 hours bacterial count will be 11600.

Step-by-step explanation:

Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be

Final counts of bacteria = Initial counts × (rate of growth)^{time}

Given from first part Initial counts = 5000

Final counts= 6500 and time of growth = 5 hours

Then we will get the value of rate of growth of bacteria from the bacteria

⇒ 6500 = 5000×(rate)^{5}

(rate)^{5}= \frac{6500}{5000} = 1.3

Rate = \sqrt[5]{1.3} = 1.05

Now again to get the value of bacteria after 16 hours

Final Count = 5000×(1.05)^{16}

                   = 5000×2.32

                   = 11600


7 0
3 years ago
Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teac
IrinaK [193]

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

<u>For example, for one year:</u>

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

8 0
2 years ago
Three bus tickets cost $5.<br><br> How many bus tickets can you buy with $15?
Pavel [41]

Answer: 9 tickets

Step-by-step explanation:

5 0
2 years ago
You know that the sum of -5 and another integer is a positive integer. What can you conclude about the sign sign of the other in
kirill115 [55]
I can conclude that the sign of the other integer is positive and that the other integer is 6 or greater.

I tried explaining it, but failed miserably. I'm so sorry! :(
3 0
3 years ago
Read 2 more answers
Find the missing angle measure for the quadrilaterals below.
nydimaria [60]

Answer:

1. = 99 degrees   2. = 85 degrees

Step-by-step explanation: All quadrilaterals have a total of 360 degrees. You can figure out the rest.

5 0
3 years ago
Read 2 more answers
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