Answer pls tysm<br> plssssssssssssssssssssssssss

Rosa made 12 gallons of lemonade to sell at a lemonade stand. How many pints of lemonade did she make?

Sav [38]

96 pints, because 1 gallon equals 8 pints, so 12 X 8 equals 96.

7 0

3 years ago

Read 2 more answers

4 x 10^6 is how many times large then 1 x 10^4

Molodets [167]

Answer:

Step-by-step explanation:

$4\times10^6\text{ is how many times large than}\ 1 \times 10^4?\\\\\dfrac{4\times10^6}{1\times10^4}=\dfrac{4}{1}\times\dfrac{10^6}{10^4}=4\times10^{6-4}=4\times10^2=4\times100=400$

4 0

3 years ago

Evaluate each finite series for the specified number of terms. 1+2+4+...;n=5

zaharov [31]

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}$ or $\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

$\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}$

Therefore, the solution is 31.

__________________________________________________________

Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as $\displaystyle \large{a_{n-1} \cdot r = a_n}$ meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

$\displaystyle \large{r=\frac{a_{n+1}}{a_n}}$

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

$\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}$

Above should be applied for series that have common ratio not equal to 1.

$\displaystyle \large{S_n=a_1 \cdot n}$

Above should be applied for series that have common ratio exactly equal to 1.

__________________________________________________________

Topics

Sequence & Series — Geometric Series

__________________________________________________________

Others

Let me know if you have any doubts about my answer, explanation or this question through comment!

__________________________________________________________

7 0

3 years ago

Express cos k as a fraction in simplest terms.

yan [13]

soh cah toa

that is the saying I use

we will use cah

c is cos

a is ajacent

h is hypotinuse

to find cos K we need to do

adjacent / hypotenuse

can you do that and write it in the comments

6 0

2 years ago

The Ray family went out to dinner The price of the meal was $38.95 The sales tax was 7% of the price of the meal. The tip was 18

Andrews [41]

Answer:

$49.18

Step-by-step explanation:

Dinner cost $38.95 before tax and tip are included.

Directions say to ADD 7% tip first so,

38.95 multiplied by 7%= 2.7265, Round up to $2.73

ADD $38.95 and $2.73 tax= $41.68

Now, multiply $41.68 by 18% to find the tip amount

$41.68 * 18%= 7.5024, Round to $7.50

ADD $41.68 and $7.50 to get answer: $49.18

4 0

3 years ago

Answer pls tysm plssssssssssssssssssssssssss