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Sonbull [250]
3 years ago
14

Simplify all this AND SHOW YOUR WORK

Mathematics
2 answers:
Elena L [17]3 years ago
7 0

Answer:

4/10 = 2/5

18/24 = 6/8 = 3/4

8/20 = 4/10 = 2/5

3/8 + 3/8 = 6/8 = 3/4

8/9 - 2/9 = 6/9 = 2/3




Sliva [168]3 years ago
4 0

Answer:


Step-by-step explanation:

Answer:

4/10 = 2/5

18/24 = 6/8 = 3/4

8/20 = 4/10 = 2/5

3/8 + 3/8 = 6/8 = 3/4

8/9 - 2/9 = 6/9 = 2/3

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Priya tried to solve an equation step by step. \qquad\begin{aligned} \dfrac f{0.25}&=16\\\\ \\ \dfrac{f}{0.25} \cdot0.25&amp
Zarrin [17]

Answer:

f=4

Step-by-step explanation:

Priya Tried to solve the equation below step-by-step:

\qquad\begin{aligned} \dfrac f{0.25}&=16\\ \dfrac{f}{0.25} \cdot0.25&=16\cdot0.25&\green{\text{Step } 1}\\  f&=4&\blue{\text{Step } 2}\\\end{aligned}

The steps are correct and indeed f=4.

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What combination of transformations is shown below?
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Answer:

Rotated then reflected.

Step-by-step explanation:

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Please help. Will reward brainliest
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Answer:

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3 years ago
Tacoma's population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write a recursive formula for
KIM [24]

Answer:

a) The recurrence formula is P_n = \frac{109}{100}P_{n-1}.

b) The general formula for the population of Tacoma is

P_n = \left(\frac{109}{100}\right)^nP_{0}.

c) In 2016 the approximate population of Tacoma will be 794062 people.

d) The population of Tacoma should exceed the 400000 people by the year 2009.

Step-by-step explanation:

a) We have the population in the year 2000, which is 200 000 people. Let us write P_0 = 200 000. For the population in 2001 we will use P_1, for the population in 2002 we will use P_2, and so on.

In the following year, 2001, the population grow 9% with respect to the previous year. This means that P_0 is equal to P_1 plus 9% of the population of 2000. Notice that this can be written as

P_1 = P_0 + (9/100)*P_0 = \left(1-\frac{9}{100}\right)P_0 = \frac{109}{100}P_0.

In 2002, we will have the population of 2001, P_1, plus the 9% of P_1. This is

P_2 = P_1 + (9/100)*P_1 = \left(1-\frac{9}{100}\right)P_1 = \frac{109}{100}P_1.

So, it is not difficult to notice that the general recurrence is

P_n = \frac{109}{100}P_{n-1}.

b) In the previous formula we only need to substitute the expression for P_{n-1}:

P_{n-1} = \frac{109}{100}P_{n-2}.

Then,

P_n = \left(\frac{109}{100}\right)^2P_{n-2}.

Repeating the procedure for P_{n-3} we get

P_n = \left(\frac{109}{100}\right)^3P_{n-3}.

But we can do the same operation n times, so

P_n = \left(\frac{109}{100}\right)^nP_{0}.

c) Recall the notation we have used:

P_{0} for 2000, P_{1} for 2001, P_{2} for 2002, and so on. Then, 2016 is P_{16}. So, in order to obtain the approximate population of Tacoma in 2016 is

P_{16} = \left(\frac{109}{100}\right)^{16}P_{0} = (1.09)^{16}P_0 = 3.97\cdot 200000 \approx 794062

d) In this case we want to know when P_n>400000, which is equivalent to

(1.09)^{n}P_0>400000.

Substituting the value of P_0, we get

(1.09)^{n}200000>400000.

Simplifying the expression:

(1.09)^{n}>2.

So, we need to find the value of n such that the above inequality holds.

The easiest way to do this is take logarithm in both hands. Then,

n\ln(1.09)>\ln 2.

So, n>\frac{\ln 2}{\ln(1.09)} = 8.04323172693.

So, the population of Tacoma should exceed the 400 000 by the year 2009.

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Answer with Step-by-step explanation:

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