Answer:
The concentration of pollutants in the water can be defined as the quotient between the mass of pollutants and the total mass of water.
Assuming that 1L of water weighs 1000 grams, we know that:
Mass of pollutants = 5mg = 0.005g.
Initial concentration = 0.005g/1000g = 0.000005
If we multiply this by 100%, we get the percentage:
0.000005*100% = 0.0005%
Now, the mass of pollutants decreases by 10% each hour.
So if initially, we have 5mg
After one hour, we will have: 5mg - 0.1*5mg = 5mg*(0.9).
After another hour, we will have: 5mg*(0.9) - 0.1*5mg*0.9 = 5mg*(0.9)^2.
And so on, then after n hours, the mass of pollutants will be:
M(n) = 5mg*(0.9)^n
Or we can write this in grams as:
M(n) = 0.005g*(0.9)^n
Then the concentration as a function of time in hours will be:
C(n) = M(n)/1000g = (0.005g/1000g)*(0.9)^n
Notice that the thing between the parentheses is the initial concentration, then if we write this in percentage form:
c(n) = 100%*(0.005g/1000g)*(0.9)^n = 0.0005%*(0.9)
The function that represents the concentration of polution in the water as a function of hours is:
c(n) = 0.0005%*(0.9)
What are the 2 things we look for when trying to decide if two figures are scaled copies?
if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)
A restaurant owner mixed the juices of 7 lemons with every 3 oranges to make a special drink
Which ratio of lemons to oranges will make the same drink?
a:28:15
b:42:21
c:21:9
d:15:35
Answer:
C, 21:19
Step-by-step explanation:
This is because we know that 21 divided by 7 is 3, so we would have to make sure that we are multiplying 7:3 by 3, which we are because 7 times 3 = 21 and 3 times 3 = 9.
A fish tank holds 175 gallons of water. Tom is emptying the tank and
removes 25 gallons per hour. Write an equation to model the situation,
where x represents time in hours and y represents the number of gallons
of water in the fish tank.
3y - 2 = 13
helppp
there’s 20 points
Answer:
y=5
Step-by-step explanation:
if u simplify it u get
3y=15
then u divide it and u get
y=5
Lydia subtracted 5.6 - 2.31 and got an answer of 2.25 what did she do wrong
Answer:
She did 5.60-2.31=2.25
Step-by-step explanation:
She should have subtracted 5.6-2.31=3.29
- Answer:
the answer is 3.29
she didn't put the decimal point in the right place when subtracting
Step-by-step explanation:
correct
5.6
-
2.31 =
3.29
NOTICE THAT IN THIS PROBLEM THE DECIMAL POINTS ARE ALIGNED WITH EACH OTHER.
wrong
5.6
-
2.31
=
2.25
NOTICE THAT IN THIS PROBLEM THE DECIMAL POINTS ARE NOT ALIGNED WITH EACH OTHER.
Also plz mark brainliest and try to answer my question
Nine more than three times a number is -6 written out please hurry and
Answer:
It is the number -5. that is the number
Answer:
3 x -5 = -15
-15 + 9 = -6
Step-by-step explanation:
3. Which of the given equations are not linear? How are these equations
differ from linear equations?
Answer:
Step-by-step explanation:
the equation which are not linear is which it does not form a straight line but forms a curve.
Answer: A linear equation is when a line on a graph isn’t straight or does not meat the origin or forms a curved line.
Step-by-step explanation:
josslyn placed $4,400 in a savings account which earns 3.2% interest, compounded annually. How much will she have in the account after 12 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:80
Step-by-step explanation:
Answer:6421
Step-by-step explanation:
P=4400
r=3.2%
n=1
t=12
f=4400 * (1+3.2/100/1)^12
5 and (-5) are a zero pair. ture False
Answer:
true
Step-by-step explanation:
when you put them together you get 0
2x+y=7 for y neeedd help
Answer:
y = -2x + 7Step-by-step explanation:
Solve for y:
2x + y = 7Add - 2x to both sides
2x + y - 2x = 7 - 2xy = 7 - 2xor
y = -2x + 7b) Write the number 52100 as a power of 10.
Answer:
5.21 * 10^4.
Step-by-step explanation:
There are 4 more digits after the 5 so it is:
5.21 * 10^4.
[tex]52100 = 521 \times {10}^{2} = \\ [/tex]
[tex]5.21 \times {10}^{2} \times {10}^{2} = 5.21 \times {10}^{4} = \\ [/tex]
[tex]10 \times {10}^{4} = {10}^{5} [/tex]
An attic floor is shaped like a triangle with a height of n yd and a base of 6 yd.
Which expression represents the area of the floor?
A. 6n
B. 3n
C. 3n/2
D. N+6
Please explain I don't get it helpppp
A taxi charges a flat fee of $5.00 plus $3.25 per mile.
How much will it cost to travel 8.7 miles? Round your answer to the nearest cent.
Answer:
$33.28
Step-by-step explanation:
8.7 times 3.25 is 28.275
28.275 + 5 = 33.275
33.275 rounded to the nearest coin is 33.28
Answer:
$33.28
Step-by-step explanation:
So, we would multiply $3.25 by 8.7 miles.
$3.25 · 8.7 = $28.28
Then we would add on the additional $5.00
$28.28 + $5.00 = $33.28
Hope I helped :)
Please consider Brainliest :)
Sjon mixed 3 3/8 cups of red grapes with 4 1/2 cups of green grapes. He then divided the grapes into bags with 1/2 cup of mixed grapes in each. How many bags of grapes will Sjon have?
GIVING BRAINLIEST WORTH 100 POINTS
Answer:
15 3/4 bags of grapes
Step-by-step explanation:
Which graph shows the points (–3, 5) and (4, –3) plotted correctly?
Answer:
Step-by-step explanation:
This is clearly a linear relationship. If Alex rented the movie for 0 days, he'd owe nothing. If he paid $6 for a 3-day rental, the slope of this line would be m = rise / run = $6/(3 days) = $2/day, which is positive.
Then the equation for this graph is C(x) = ($2/day)x, where x is the number of days for which the movie is rented.
Using this formula, we find three particular points on the graph:
(1, $2), (2, $4), (3, ($6)
Answer:
D
Step-by-step explanation:
i just took the test ur welcome:)
What is -2 17/18 as a decimal?
Answer:
-2.94
Step-by-step explanation:
The graph shows the proportional relationship of the cost of a movie ticket using the graph determine the constant of proportionality, k
Answer:
Where is the graph???
Step-by-step explanation:
plz help me will give brainlyest
Answer:
1. x = independent variable: Age
y = dependent variable: Accidents
2. Age scale and Accidents scale
The scale for age ranges from 15 - 30 with the value of 5 difference between each number.
While the accidents scale ranges from 0 -1 with no difference in between.
3. In my opinion, the scatter plot looks as though it decreases in accidents once the age rises. As seen from the data shown.
Step-by-step explanation:
1) x is considered as the independent variable, while y is considered the dependent value.
2) There are two sets of scales, one for the x and the other for y. These scales are the values that are interpreted in order to show data of the graph, due to their number and various size(s).
3) If you were to draw a line through the graph, you can somewhat create the image that the line would go down into the right corner! Meaning that it is decreasing over time.
Given g(x) = -X – 1, solve for x when g(x) = 3.
Answer:
-4 = x
Step-by-step explanation:
g(x) = -X – 1
g(x) = 3
3 = -x-1
Add 1 to each side
3+1 = -x-1+1
4 = -x
Multiply by -1
-4 = x
What is 3/11 * 3 1/4?
The ratio table below describes the relationship between grapes and blueberries in a fruit salad.
Fruit Salad
Grapes
(cups)
Blueberries
(cups)
2
0.5
6
1.5
20
5
24
6
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
9:6
10:5
12:3
14:1
9514 1404 393
Answer:
12:3
Step-by-step explanation:
The table entry for ...
grapes : blueberries = 24 : 6
will give you 15 cups of fruit salad if you divide both numbers by 2.
The ratio Mandie should use is 12 : 3.
Answer:
12.3
Step-by-step explanation:
I NEED HELP!! I WILL MAKE YOU BRAINLIEST!!! ITS PROBEBLY EASY FOR YOU, I'M IN 5TH GRADE!!!
Answer:
1. A-4.875
2. True, False, True, False
3. B- 19.227
4. A- 0.012
5. A, B, F.
6. B
7. B
8. C- 15 r 3
9. B- 8.5
10. A, B, D
11. D-14
12. Yes, No, No, No
-------------------------------------------
1.
Less than - 3.55 + 1.05 | 7.59 - 2.6 | 3.07 + 2.44 |
Equal to - 8.4 - 2.9 | 7.5 - 2 |
Greater to - 4.5 + 1.5 | 2.18 + 3.6 |
2. 25 r 2
3. 26 r 2
4. 31 r 10
5. 26 r 2
6. 2.94
7. 0.48
8. 2.53
9. 11.4
10. 2.5
11. 1.79
12. 16
13. 12
14. Tire-Rama - 187.50
These should be all correct :) Have a great day!
How much more is a 6% pay increase when your current annual salary is $62,900
Answer:
$3744
Step-by-step explanation:
Select the words for the number.
10.205
Answer:
Ten point two hundred and five is your answer
Step-by-step explanation:
Solve the quadratic equation. 22 – 9 = 16
Answer:
22-9=16
so,
22-9
is 16
then you would take
16=16
so, you would have to divide the 2 numbers
then 1 is your answer
Step-by-step explanation:
whats 5 divided by 10??????? sim
Answer:
0.5
Step-by-step explanation:
What is -5/8 + 3/4 I cannot seem to figure it out correctly thanks!
Step-by-step explanation:
-5/8 + 3/4
= -5/8 + 6/8
=1/8
Assume a tax rate of 6.2% on $128,400 for Social Security and 1.45% for Medicare. No one will reach the maximum for FICA. Complete the following payroll register. (Use the percentage method to calculate FIT for this weekly period
Marital status - m
Allowance claimed – 4
Gross pay - $,2800
FIT
Social Security
Medicare
Net pay
Answer:
FIT: $340.76 (see comment)OASDI: $173.60Medicare: $40.60Net Pay: $2245.04Step-by-step explanation:
In addition to the information given in the problem statement, we need to know the applicable tax rates and allowance deductions. If we assume the tables we found (attachments 1 and 2) are the same as those in your text, the one additional fact needed is the gross pay to date. At the given wage rate, paychecks after the 44th week will have reduced FICA tax deductions.
Allowances: 4 × $79.80 = $319.20
Adjusted gross pay for FIT: $2800 -319.20 ≈ $2481 (rounded to nearest $)*
FIT: 0.22 × (2481 -1711) +171.36 = 0.22×2481 -205.06 = 340.76
Social Security & Medicare: 0.0765 × 2800 = 214.20
Net pay = $2800 -340.76 -214.20 = $2245.04
_____
* Comment on rounding
The IRS gives the option of rounding the pay or the tax, as long as it is consistently done. Here, the amount of tax on the unrounded gross pay would be 4 cents less: 340.72. The option of reducing the last digit of pay to zero is also offered. FIT on 2480 would be 340.54.
please answer! Find the value of x that makes a || b
What is the area, in square inches, of the trapezoid with th
dimensions:
b1= 3 in, b2= 7 in, h= 8 in
Answer:
To find the area of a trapezoid, take the sum of its bases, multiply the sum by ... or area_trapezoid2.gif. Where b1.gif is base1.gif , b2.gif is base2.gif , h.gif ... of a trapezoid with bases of 9 centimeters and 7 centimeters, and a height of 3 ... The area of a trapezoid is
Step-by-step explanation:
