Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by 910+(−710)+810+(−610)+⋯+310+(−110)+210 9 10 + ( − 7 10 ) + 8 10 + ( − 6 10 ) + ⋯ + 3 10 + ( − 1 10 ) + 2 10 . How much water is in the tank after 15 days? Write your answer as a decimal. gallon(s)

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we  get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

Which expression is equivalent to 30(1/2x-2)+40(3/4y-4)?

What should be added to −5 to make the sum 0?

−5
0
5
6

Which expression is equivalent to √100 +4√10 +3 −8 √10?
1) −4√10 + 13
2) 10 − √10
3) 3 − 2√10
4) √10

Haley has not been able to maintain the $1,200 minimum balance required to avoid
fees on her checking account. She wants to switch to a different account with a fee
of $0.25 per check and a $10.50 monthly maintenance fee. Haley wants to estimate
the fees for her new account. To the right is a summary of the checks she has written
from May to August.

What is the greatest common factor of 42 and 14?

What is the square root of two?

Solve for x
3x/2 - 2 > 7​

solve for x in terms of y: 5y = 3x + 2

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?​

the product of 9 and X​

Is the following relation a function?

Sara puts together an online order at her favorite store. She orders shirts (s) for $15 each. She has to pay a $5 shipping fee as well
She wants to spend less than $50 total. How many shirts can Sara order?

In baseball, two statistics, the ERA (Earned Run Average) and the WHIP (Walks and Hits per Inning Pitched), are used to measure the quality of pitchers. For both measures, smaller values indicate higher quality. The following computer output gives the results from predicting ERA by using WHIP in a least-squares regression for the 2017 baseball season.

Variable DF Estimate SE T
Intercept 1 −5.0 0.26 −19.3
WHIP 1 6.8 0.14 47.4
Which of the following statements is the best interpretation of the value 6.8 shown in the output?

a. ERA is predicted to increase by 6.8 units for each 1 unit increase of WHIP.


b. WHIP is predicted to increase by 6.8 units for each 1 unit increase of ERA.


c. For a pitcher with 0 units of WHIP, the ERA is predicted to be approximately 6.8 units.


d. For a pitcher with 0 units of ERA, the WHIP is predicted to be approximately 6.8 units.


e. Approximately 6.8% of the variability in ERA is due to its linear relationship with WHIP.

#2 PLS HELP I WILL GIVE BRAINLIEST

Can someone help me please

Write the number in standard form. One hundred forty million, six hundred eighty-seven

which of the following is an equivalent form of the compound inequality -22>-5x-7>-3​

F(x) = 2x2 + 1 what is f(x) when x = 3 ?

HELLLLPPPPP two questions: AND I WILL GIVE YA THE BRAINLIESTTTTT
question one: Marcos mixes 434 oz of lemonade. he wants to filll the 14 cups he has with equal amounts of lemonade.
How many lemonade should he put in each cup?
Marcos should put_____ ounces in each cup.

Question 2: Kainoa collects trading cards. he has 1,005 baseball cards, 702 basketball cards, and 885 football cards. And he wants to put them all in albums. Each page holds 18 cards.
How many pages will he need to hold all of his cards?
Kainoa will need_____ pages.

What is the equation X= 5y-10

Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 10 miles.

how do yo solve 46x3 as the distributive property?

Consider this equation.


7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)



Mia solved the equation and determined that m = 2. Is she correct?

She is incorrect because when substituting 2 for m the result was a true statement.

She is incorrect because when substituting 2 for m the result was a false statement.

She is correct because when substituting 2 for m the result was a true statement.

She is correct because when substituting 2 for m the result was a false statement.

Can someone please help me?

Use the rule y = -x + 7 to fill in the blank
if (1, y) is on the graph, then y =
​

Help please asap with this math

Rick has 3 pencils, they measures 9.7 inches, 6.25 inches and 8.5 inches respectively. What is the total length of the pencils altogether?

What is the median for the bar graph below?



2
2.5
6
3

Solve: -3 + 7 -5 + (-10)​

Calculate the slope between the points: (3, -5) and (6,-5)
а
m=10/3
b
m=0
C
m=undefined
d
m=-10/3

A car drives eighty miles on seven gallons of gas. Determine the number of miles per
gallon.