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What number is being factored in this factor tree? A.72 B.180 C.216 D.324

Tatiana [17]

Answer:

not sure if it's ryt but I think it's A

7 0

3 years ago

Which values of xwould make a polynomial equal to zero if the factors of the

Nady [450]

C.-2 and -11 that would be the answer.

3 0

2 years ago

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The government of the Republic of Lemon Island plans to transform their lemon-based economy into a tourism-based economy. They d

NNADVOKAT [17]

Step-by-step explanation:

dy/dt = (A − Be^(-t/5)) y

(a) First, find the general solution by separating the variables and integrating.

dy / y = (A − Be^(-t/5)) dt

dy / y = [A + 5B (-⅕ e^(-t/5))] dt

ln |y| = At + 5B e^(-t/5) + C

y = e^(At + 5B e^(-t/5) + C)

y = Ce^(At + 5B e^(-t/5))

Given that A = 0.06, B = 0.04, and y(0) = 50×10⁶ − 10×10⁶ = 40×10⁶:

40×10⁶ = Ce^(0.06(0) + 5(0.04) e^(-0/5))

40×10⁶ = Ce^(0.2)

C = 40×10⁶ e^(-0.2)

y = 40×10⁶ e^(-0.2) e^(0.06t + 0.2 e^(-t/5))

y = 40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5))

(b) If A = 0.02 and B = 0, and there is no transformation (y(0) = 50×10⁶), then:

50×10⁶ = Ce^(0.02(0) + 0)

50×10⁶ = C

y = 50×10⁶ e^(0.02t)

Comparing to the answer from part (a):

40×10⁶ e^(-0.2 + 0.06t + 0.2 e^(-t/5)) = 50×10⁶ e^(0.02t)

e^(-0.2 + 0.04t + 0.2 e^(-t/5)) = 5/4

-0.2 + 0.04t + 0.2 e^(-t/5) = ln(5/4)

-5 + t + 5e^(-t/5) = 25 ln(5/4)

t + 5e^(-t/5) = 5 + 25 ln(5/4)

Solve with a calculator:

t = 9.886

The transformed economy surpasses the untransformed economy in the 10th year.

(c) In year t=5, the size of the transformed economy is:

y = 40×10⁶ e^(-0.2 + 0.06(5) + 0.2 e^(-5/5))

y = 47.6×10⁶

The percent growth is:

(47.6×10⁶ − 40×10⁶) / 40×10⁶ × 100% = 19%

The growth rate is greater than 4%, so the current government can expect to be reelected.

3 0

3 years ago

What is the third quartile of this data set 21,24,25,28,29,35,37,43,44

FrozenT [24]

Answer:

40

Step-by-step explanation:

The data is

21,24,25,28,29,35,37,43,44

To find the third quartile we have to arrange the data in increasing order

so the data in increasing order is

21,24,25,28,29,35,37,43,44

total number of values = 9

Median value = (n + 1 )/ 2

=(9+1)/2

=5th value

so the median is 29

Lower half of the data is the values before the median and upper half of the data is values after the median

so lower half = {21,24,25,28}

Upper half = {35,37,43,44}

so to find the third quartile we will use the upper half of the values

Third quartile means that the median of the values of upper half of the data

As the total No of value in upper half is 4 which is an even no

we will take the middle values of the upper half and take their mean

so

Third Quartile = $\frac{37+43}{2}$

= $\frac{80}{2}$

=40

so the value of third quartile is 40

4 0

3 years ago

Madeline estimated the product of 3.56 and 8.3

ycow [4]

Answer:29.548

Step-by-step explanation:What i know is when they ask you for the product of something there asking you to multiply. So 3.56 x 8.3

4 0

3 years ago

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