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Bad White [126]
3 years ago
5

Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18,

24, . . . 8, 14, 20, 26, . . . 8, 10, 12, 14, . . .
Mathematics
1 answer:
melamori03 [73]3 years ago
8 0

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

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0.81 repeating decimal into a fraction
Daniel [21]

Answer:81/100

Step-by-step explanation:

0.81

0.0 tenths

0.00 hunderts

5 0
3 years ago
Add.<br> (4x2 - 2x) + (5x-7)
Sloan [31]

Answer:

4x²+3x-7 is the answer

Step-by-step explanation:

=(4x²-2x)+(5x-7)

opening brackets

=4x²-2x+5x-7

=4x²+3x-7

i hope this will help you :)

7 0
3 years ago
12.<br>The container shown has a capacity of 60 milliliters.<br>What fraction of it is empty?<br>​
White raven [17]

This is an incomplete question, the image is shown below.

Answer : The fraction empty container is, \frac{7}{12}

Step-by-step explanation :

As we are given that:

The capacity of container = 60 mL

In the given figure, the container is filled with 25 mL.

That means,

60 - 25 = 35 mL container is empty.

Now we have to calculate the fraction of it is empty.

The fraction of it is empty = \frac{\text{Capacity of empty container}}{\text{Total capacity of container}}

The fraction of it is empty = \frac{35mL}{60mL}

The fraction of it is empty = \frac{7}{12}

Therefore, the fraction empty container is, \frac{7}{12}

7 0
3 years ago
Ox=20
nexus9112 [7]

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

x + y = 95

If he plays basketball for 25 minutes long, then;

x = 25

The pair of linear equations that represents the statement are:

x  + y = 95
x = 25

The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

y = 95 - 25

y = 70 minutes

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

Learn more on linear equations here: brainly.com/question/14323743

3 0
2 years ago
a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find
sweet [91]
Area of the base = 1/2 * 10 *  5sqrt3 =  25 sqrt3

Total surface area = 25 sqrt3 + 3 *  1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
15h = 214.5 - 25 sqrt3

h =   (214.5 - 25sqrt3() / 15

=  11.41 cm to nearest hundredth
6 0
3 years ago
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