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yanalaym [24]
1 year ago
14

What is the sequence 6, 30, 150, 750, ____ ?

Mathematics
1 answer:
bekas [8.4K]1 year ago
7 0

The value of the missing number and the 6th term is 3750

<h3 /><h3>What is a geometric sequence?</h3>

The formula for determining the nth term of a geometric sequence with a common ratio greater than one is expressed as;

Tn = ar^n-1

From the information given, the first term(a) is 6 and we are to find the 5th term, thus, n is 5

Let's substitute into the formula

T5 = 6 × 5^5-1

T5= 6× 5^4

Find the value

T5 = 6 × 625

T5 = 3750

Thus, the value of the missing number and the 6th term is 3750

Learn more about geometric sequence here:

brainly.com/question/1509242

#SPJ1

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A shirt has an original price of $19.75. If the shirt is marked 25% off and there is a 7.75% tax, how
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Answer: 4.90 im not 100 percent sure

Step-by-step explanation:

To find the actual discount, multiply the discount rate by the original amount 'x'. To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.

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2 years ago
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Create at least two word problems that involve addition, subtraction, multiplication and division.
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John brought 20 water melons each water melon cost him 2 dollars. He gave his friend Bob 3/4 of the watermelons. In return bob gave him double the amount of water melons back. How many watermelons does John have now? How much money did he spend on each water melon?
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2 years ago
Which r–value represents the strongest negative correlation?<br><br> –0.7<br> –0.22<br> 0.38<br> 0.9
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Answer:

Option A is correct.

The value of r = -0.7 represents the strongest negative correlation.

Step-by-step explanation:

A correlation is a  value that describes a relationship between two things  or variables.

Strongest Negative Correlation says that closer a negative correlation to -1, the stronger the relationship between the two variables.

From the options,  we have only two negative values i.e, r= -0.7 and r= -0.22.

We have to find the strongest negative correlation r-value.

By the definition, you can see that -0.7 is very closer to -1 ,

therefore, the  value of r = -0.7 represents the strongest negative correlation.


3 0
3 years ago
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huong and kathyrn each day impeoved their yards by planting rose bushes and ornamental grass. they bought their supplies from th
marta [7]

Answer:

One rose bush = $3

One bunch of ornamental grass = $4

Step-by-step explanation:

We can set up a system of equations to solve for this. Let cost of 1 rose bush be r and cost of 1 ornamental grass be g. Thus we can form 2 equations:

14r+7g=70\\5r+14g=71

We can multiply the first equation by -2 so that we can eliminate g. Thus, we have:

(*-2)14r+7g=70\\5r+14g=71\\-------\\-28r-14g=-140\\5r+14g=71\\--------\\-23r=-69\\r=\frac{-69}{-23}=3

Thus, 1 rose bush is $3. Now plugging in r = 3 into the first original equation, we can solve for g:

14r+7g=70\\14(3)+7g=70\\42+7g=70\\7g=70-42\\7g=28\\g=\frac{28}{7}=4

Thus, 1 bunch of ornamental grass is $4.

5 0
3 years ago
Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zac
Solnce55 [7]

Answer:

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

Step-by-step explanation:

Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.

To find : How fast is each traveling?

Solution :

Let the speed of Zach is x mile per hour.

If Warren travels 7 mph faster than Zach

The speed of the Warren is x+7 miles per hour.

Zach and Warren both leave the coffee shop at the same time, but in opposite directions.

The distance covered is 161 miles in 7 hours.

We know, \text{Distnace}=\text{Speed}\times \text{Time}

Substitute,

161=(x+x+7)\times7

\frac{161}{7}=2x+7

23=2x+7

2x=23-7

2x=16

x=8

The speed of Warren is 8+7=15

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

6 0
3 years ago
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