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forsale [732]
3 years ago
13

The number of mold spores on a piece of bread after a different amount of time or listed in the table below

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

Option (4)

Step-by-step explanation:

From the table attached,

Ratio of spores in day 2 and day 1 = \frac{400}{200}

                                                         = 2

Ratio of spores in day 3 and day 2 = \frac{800}{400}

                                                          = 2

There is a common ratio of 2 in each successive to the previous term of the Mold spores.

Therefore, spores are growing exponentially.

Let the function representing exponential function is,

y = a(b)ˣ

Here, y = Number of spores after time 'x'

x = Number of days

a and b are the constants.

On day 1,

x = 1

y = 200

By substituting these values in the exponential function,

200 = a(b)¹

ab = 200 -------(1)

On day 2,

x = 2

y = 400

400 = a(b)² -------(2)

Divide equation 2 by equation 1,

\frac{400}{200}=\frac{ab^{2} }{ab}

b = 2

By substituting the value of b in equation (1),

a(2) = 200

a = 100

Therefore, equation of the function will be,

y = 100(2)ˣ

Option (4) will be the answer.

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Please help ASAP
Arisa [49]

Answer:

2 lessons per day for 27 days and 3 lessons a day for 4 days.

Step-by-step explanation:

66/31 = 2 4/31

Since 66 divided by 31 is 2 with remainder 4, you need to do 31 days of 2 lessons per day. To do the extra 4 lessons, do one more lesson per day for 4 of those days.

That results in:

2 lessons per day for 27 days and 3 lessons a day for 4 days.

Check:

2 lessons a day for 27 days = 2 * 27 = 54

3 lessons a day for 4 days = 3 * 4 = 12

54 + 12 = 66

If you do 2 lessons a day for 27 days and 3 lessons a day for 4 days, you will do the 66 lessons.

5 0
3 years ago
Whats the y intercept
miv72 [106K]

Answer:(0,4)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
<1 and <2 form a linear pair. If m<1= 4m<2, find the measure of each of the two angles.
ozzi

Answer:

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°

Step-by-step explanation:

We know that when two lines meet or intersect, we get a linear pair of angles.

Linear pairs are basically two adjacent angles that form a line.

The measure of two adjacent angles forming a straight line is 180, meaning they are supplementary.

We are given that <1 and <2 forms a linear pair, and

m∠1 = 4m∠2

It means the angle ∠1 is 4 times the measure of angle ∠2.

Let the angle ∠1 be = x

As the angle 1 is 4 times the measure of angle ∠2, so

The angle 2 will be = 4x

As <1 and <2 forms a linear pair, thus the measure of the sum of <1 and <2 will be 180°, so

x + 4x = 180

5x = 180

divide both sides by 5

5x/5 = 180/5

x = 36°

Therefore,

  • The angle ∠1 = x = 36°
  • The angle ∠2 = 4x = 4(36°) = 144°
8 0
3 years ago
on Monday joe bought 10 cups of coffee and 5 doughnuts for his his office at the cost of $16.50. It turns out that the doughnuts
AfilCa [17]

X= be coffee

Y=be donuts


Set up equations


10x+5y=16.50

5x+10y=14.25


Now multiply first equation by -2 to get a negative


(-2)10x+5y(-2)=16.50(-2)


-20x-10y=-33


Now put both equations to solve for x


-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75


Now divide -15 bith sides to get x alone


X= -18.75/-15


X= 1.25



The cost of each coffee cup$1.25



7 0
3 years ago
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Dafna1 [17]
1/5 since there’s 5 possibilities and one green
5 0
3 years ago
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