How does a number line represent equivalent fractions and decimals?

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Goshia [24]

Answer:

$\sf 2^{(n+1)}$

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

$\sf \boxed{\bf t_n=ar^{(n-1)}}$

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

a = 4

r = 8 ÷4 = 2

$\sf t_n =4*2^{(n-1)}$

$\sf = 4*2^n * 2^{(-1)}\\\\ = 4*2^n*\dfrac{1}{2}\\\\ = 2*2^n$

$\sf = 2^{(n+1)}$

4 0

1 year ago

While shopping, Dawn finds a backpack that she likes on the sale rack. Its original price is $60,

Nadya [2.5K]

No. Because 33 $ is the money deducted from the 60 $. Dawn bought everything for less than 60 $.

So, if Dawn purchases everything on the rack with a 30% discount and 15% coupon the total will indeed make 45%.

We have to take 100% - 45%= 55% to know the reduction number. Let's proceed to the calculations now.

100%= 60 $

1%=60/100

55%= 60/100 × 55 = 33 $

Now NOTE; 33 $ is the money reduced from the 60 $. So, logically, 33 $ isn't the amount which Dawn purchased the whole rack. 

To find the amount at which she purchased everything, we need to do,

60 $ - 33 $ = 27 $

6 0

3 years ago

A garden is in the shape of a rectangle. If the garden has a length of 4 feet and a width of 6 feet, what is the area of the gar

julsineya [31]

$A=lw = 6 \times 4 = 24 \: {ft}^{2}$

5 0

2 years ago

Plz help!!!!!

lana66690 [7]

Answer:

111 miles

Step-by-step explanation:

Can you mark me as Brainliest

8 0

2 years ago

Read 2 more answers

Supposed a Visa card had a credit card number of 4162 0012 3456789a where a is the check number what is the check number? A) 0 B

MrMuchimi

Answer:

Option B) 3

Step-by-step explanation:

we have the number

4162 0012 3456 789a

Find the value of a (check number)

step 1

Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit

4162 0012 3456 789a

9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)

(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)

Remember that If the result is a two digit number, then add these digits together to make a single digit

so

(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)

(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34

step 2

add every odd-position digit

4162 00123456 789a

so

8+6+4+2+0+2+1=23

step 3

Adds the result in step 1 and the result in step 2

34+23=57

The check-digit is what number needs to be added to this total to make the next multiple of 10

In our case, we’d need to add 3 to make 60

therefore

The check number is 3

6 0

3 years ago