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eimsori [14]
2 years ago
10

The first three terms of a sequence are given. Round to the nearest thousandth (if

Mathematics
1 answer:
tangare [24]2 years ago
3 0

The 7th term of the sequence to the nearest thousandth is 223.949

<h3>What are geometric sequences?</h3>

These are sequence that increases in an exponential form.

The formula for calculating the nth term of a geometric sequence is expressed as:

Tn = ar^n-1

Given the following parameters

a = 75

r = 1.2

n = 7

Substitute the given parameter into the formula

T7 = 75(1.2)^6
T7 = 223.949

Hence the 7th term of the sequence to the nearest thousandth is 223.949

Learn more on geometric sequence here: brainly.com/question/9300199

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Final answer is x=4<br><br> Help me out with question 4
Marina CMI [18]

Answer:  x = 4/5

<u>Step-by-step explanation:</u>

\tan\ y=\dfrac{\text{side OPPOSITE y}}{\text{side ADJACENT to y}}=\dfrac{1}{6}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \dfrac{x}{x+4}=\dfrac{1}{6}\\\\\\\text{Cross multiply, distribute, and solve for x:}\\6(x)=1(x+4)\\6x=x+4\\5x=4\\\\\large\boxed{x=\dfrac{4}{5}}

4 0
3 years ago
John collected 150 nickels and dimes. He has 30 more nickels than dimes. How many of each does he have
Whitepunk [10]

Answer:

n = d+30 since he has 30 more nickels than dimes, to make them equal you have to add 30 to the dimes.

:

n+d = 150 substitute for n:

d+30+d = 150

2d = 120

d = 60 he has 60 dimes and 150-60 = 90 nickels

3 0
3 years ago
Liam ran 4 times around a circular track and did 100 jumping
zalisa [80]

Answer:

the one complete circuit of the track is 600 meters

Step-by-step explanation:

divide the 2.4 kilometers by 4 which gives you your answer.

2.4 kilometers = 2,400 meters

2,400/4 = 600

7 0
3 years ago
Read 2 more answers
Q 06. Payson is thrice as fast as Amen at completing a task. They both pick up a task together, and complete it in 5 days. How m
crimeas [40]

Fraction are ratio of two integers. It will take Amen 20 days to do the task alone

<h3>Proporions and fractions</h3>

From the given question, we have the following information

Let the number of days Amen can take to complete a task be x

If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x

If they both pick up a task together, and complete it in 5 days, then;

1/x + 1/3x = 1/5

Find the LCM
3+1/3x = 1/5

4/3x = 1/5

Cross multiply

3x = 20

Determine the time taken by Amen:

x =20/3

This shows that it will take Amen 20 days to do the task alone

Learn more on proportions here: brainly.com/question/19994681

6 0
3 years ago
There are 500 passengers on a train.
Amiraneli [1.4K]

Answer:7/20 = 0.35 = 35%=500x.35 =175 men

40%=.40x500 =200 women

200+170=370

500-370

125 children

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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