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soldier1979 [14.2K]
3 years ago
10

Find the next three terms in the geometric sequence: 400, 200, 100, 50

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0
It's dividing by 2. 

Next 3 would be: 25, 25/2, 25/4 or converting those into decimals. 
Crazy boy [7]3 years ago
6 0
Hi there! The geometric sequence is 1/2 of the number, because 400/2 is 200, 200/2 is 100, 100/2 is 50 and so on. 50/2 is 25, 25/2 is 12.5 and 12.5/2 is 6.25. There. The next three patterns of the geometric sequence is 25, 12.5, and 6.25.
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Julianne opens a dance studio. Her start-up costs for the building, advertising, and supplies $52,000. Each day, she spends $650
Yuki888 [10]

The equation is:  960d-650d=52000 and Julianne will begin making a profit after 168 days.

<em><u>Explanation</u></em>

Her total start-up cost is $52,000.

Each day, she spends $650 on operating costs (like utilities and wages) and she earns $960 per day from her students' lesson fees.

If the number of days to overcome the start-up cost is  d , then

the total operation cost spent in  d days = \$650d and

the total students' lesson fees earned in  d days = \$960d

<em><u>Part A:</u></em>   The equation to represent the situation will be:   960d-650d=52000  

<u><em>Part B:</em></u><em> </em><em>  </em>Julianne will begin making a profit when....

960d-650d>52000\\ \\ 310d>52000\\ \\ d>\frac{52000}{310}\\ \\ d >167.741... \approx 168

So, Julianne will begin making a profit after 168 days.

5 0
3 years ago
Write the inverse variation function given that y varies inversely with x, and y = 0.25 when x = 8.
storchak [24]

Answer:

Step-by-step explanation:

If a given variable varies inversely with another variable, an increase in the value of the given variable would cause a corresponding decrease in the value of the other variable. Also, a decrease in the value of the given variable would cause a corresponding increase in the value of the other variable.

If y varies inversely with x, we would introduce a cost of variation, k so that the expression becomes

y = k/x

When y = 0.25, x = 8

Substituting into the expression above, it becomes

0.25 = k/8

k = 0.25 × 8

k = 2

The inverse variation function is

y = 2/x

5 0
3 years ago
the imax screen at the michigan science center is 22 meters wide and 16.1 meters tall. what is diagonal length of the screen? us
Fudgin [204]
Hypotenuse therom ( a^2 + b^2 = c^2)

1) find c^2

22^2 + 16.1^2= c^2 ———->743.21

2) square root c^2 to find c

square root of 743.21 = 27.2 so D
4 0
1 year ago
(Problem on image.)...
ANEK [815]
Hey there! :) 

In order to the find the missing side length of this triangle, we'll need to use the Pythagorean Theorem! 

That equation is : a² + b² = c²

a = adjacent side

b = long side of rectangle

c = hypotenuse

We're already given the values of both a & c, so let's plug everything in! 

a² + b² = c²  → a = 10 , b = ? , c = 20

(10²) + b² = (20²)

Simplify.

100 + b² = 400

Subtract 100 from both sides.

b² = 400 - 100

Simplify.

b² = 300

Get the square root of b² & 300.

\sqrt{b^2} =  \sqrt{300}

Simplify!

b = 17.3

So, the missing side length is the first answer choice : 17.3

~Hope I helped!~
7 0
3 years ago
If n is at least 7, which inequality best represents the values of n?
Wittaler [7]

Answer:

<em>The answer to your question is</em> <em>C.n ≥ 7</em>

Step-by-step explanation:

<u><em>I hope this helps and have a good day!</em></u>

3 0
1 year ago
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