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)
I need help with thisssssssssssssssss
9514 1404 393
Answer:
(a) 90°, 90°
(b) 5, 1
(c) 10°, 20°
(d) 10°, 20°, 150°
Step-by-step explanation:
You need to consider ways in which each statement might not apply.
(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.
counterexample: m∠1 = 90°, m∠2 = 90°
__
(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:
counterexample: length = 5, width = 1
__
(c) All that is required is that the sum of angles be 30°. They don't have to be equal.
counterexample: m∠ABC = 10°, m∠CBD = 20°
__
(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.
counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°
Write a decimal equivalent to 9/20 (15 points)
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
Help!
How to get over a huge crush
Answer:
there are cute boys on Tik-tok or you can try and think about something happy
Step-by-step explanation:
What is the solution to the system of equations?
3x+10y=-47
5x - 7y=40
O (1.-5)
O (1,5)
0 (-1,-5)
0 (-1,5)
Answer:
x=1 ,y=-5
Step-by-step explanation:
3x + 10y = 47
5x - 7y = 40
____________
21x + 70y = 329. equ 1
50x - 70y = 400. equ 2
subtract equ 1 from 2
=71x = 71
divide both sides by the 71
71/71 = 71/71
x = 1
_________
to find y
substitute x into either equ 1 or equ 2
am using equ 2
5x - 7y = 40
5(1) - 7y = 40
5 - 7y = 40
7y = 5 - 40
7y = -35
divide both sides by the coffecient of y
7y/7 = -35/7
y = - 5
Mrs. Smith rode the bus 720 miles in 3 days. On the first day, she traveled 3 times as far as she did on the second day. On the third day, she traveled 2 times as far as she did on the second day. How far did she travel each day?
The first day = 3x
The second day = x
The third day = 2x
720 = 3x + x + 2x
Combine like terms.
720 = 6x
Divide both sides by 6
120 = x
The first day = 3x = 3(120) = 360 miles
The second day = x = 120 miles
The third day = 2x = 2(120) = 240 miles
emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. how much does emelia's job pay in a day when she works 5 and a half hours? write an expression and evaluate for 5 and a half hours.
Answer:
8.74(5)+3.50=47.20
Step-by-step explanation:
She earns $47.20 that day
$51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
What is Expression?An expression is combination of variables, numbers and operators.
Given emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job
We need to find how much does emelia's job pay in a day when she works 5 and a half hours
Let us write the given data in the form of expression.
8.74x+3.50
Now for 5 and half hours we have to calculate
8.74(5.5)+3.50
48.07+3.50
51.57
Hence, $51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ2
Convert these numbers from standard form to scientific notation 1. 31,560,000 =
Answer:
Step-by-step explanation:
31,560,000 = 3.156 x 10^7
How do you solve
8.4-6.8=-3.2y+16.4
Answer:
y = 4.625
Step-by-step explanation:
Subtract 16.4 from both sides and collect terms.
8.4 -6.8 -16.4 = -3.2y +16.4 -16.4
-14.8 = -3.2y
Divide both sides by -3.2.
-14.8/-3.2 = (-3.2y)/-3.2
4.625 = y
The solution is y = 4.625.
Answer:
y=4.625
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? after years and months b. Use the compound interest formula to find the balance after this amount of time. The balance is $
Answer:
The answer is $88
Step-by-step explanation:
The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.
A truck is carrying 9 cars weighing an average of 4,000 pounds each. What is the total weight in tons of the cars on the truck
Answer:
18 tons
Step-by-step explanation
First you need to know that 1 ton is 2,000 pounds. Ok so if you do the 4,000 pounds times the 9 cars you get 36,000 pounds in total and then you can divide by 2,000 and you get 18 so it is 18 tons.
Find the value of x. PLEASE HELP - test tomorrow
The answer is 59.
I need to show my work.
THANK YOU!!!!!
Answer:
b and 59° are vertical angles so they are equal.
b=59°
a librarian arranges 4356 books in rows , such that the number of rows is equal to the number of books in each row , find the number of books in each row.
Answer:
66
Step-by-step explanation:
Given that:
Total Number of books = 4356
Number of books in a row = number of rows
Let number of rows = b
Then number of books in each row = b
Total number of books = (number of rows * number of books per row
Hence,
4356 = b * b
4356 = b²
Take the square root of both sides
Sqrt(4356) = b
66 = b
Number of books in each row = 66
Write the function in vertex form. y=x^2+5x-9
Answer:
The function in the vertex form is y = (x + 2.5)² - 15.25
Step-by-step explanation:
The vertex form of the quadratic function y = ax² + bx + c is:
y = a(x - h)² + k, where
a is the coefficient of x²h, k are the coordinates of its vertex pointh = [tex]\frac{-b}{2a}[/tex]k equals y at x = h∵ The given function is y = x² + 5x - 9
∴ a = 1, b = 5, c = -9
→ Use a and b to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]
∴ h = -2.5
→ Find y at x = -2.5
∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9
∴ y = -15.25
∴ k = -15.25
→ Substitute a, h, k in the vertex form above
∴ y = 1(x - -2.5)² + -15.25
∴ y = (x + 2.5)² - 15.25
The function in the vertex form is y = (x + 2.5)² - 15.25
(-5)(10) find the product!
Answer:
-50
Step-by-step explanation:
Luckily for us this one is very simple.
(-5)(10) can also be written as [tex]-5*10[/tex] or with any other multiplicative operator (a symbol that represents multiplication). So this becomes very simple multiplication.
We know that when we multiply a positive number by a negative, the result will be negative - and we also know that 5 times 10 is 50. So our result will be: [tex](-5)(10) = -50[/tex]
2b.) What transformation of f(x) does y correspond to?
a.) a verticle translation 4 units down
b.) a verticle translation 4 units up
c.) a horizontal translation 4 units to the left
d.) a horizontal translation 4 units to the right
Answer:
The transformation is " a horizontal translation 4 units to the right " ⇒ (d)
Step-by-step explanation:
Let us revise the translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kLet us look at the graph and choose some points on the f(x) and find their images on y
∵ Point (1, 2) lies on f(x)
∵ Point (5, 2) lies on y
∵ Point (3, 8) lies on f(x)
∵ Point (7, 8) lies on y
→ There is no change in the y-coordinates of the points, the change
only in the x-coordinates
∴ The translation is horizontally
∵ 5 - 1 = 4 units ⇒ positive value means to right
∴ f(x) is translated 4 units to the right
∴ The answer is " a horizontal translation 4 units to the right " (d)
working with children. She was hoping to
become a teacher, but changed her mind after learning of additional
education and licensing that she needed to complete. Which of the following
is a good career alternative for Kelly?
An office printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster?How many more photos can you print in 12 minutes using the faster printer?
Answer: The answer is that the office printer prints faster and it can print 30 photos in 15 minutes.
Step-by-step explanation:
I know this ain't wrong for a fact.
y = 3/5х + 2 on a graph
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
The ellipse is centered at the origin, its major axis is horizontal, with length 8; the length of its minor axis is 4;
Consider we need to find the equation of ellipse.
Given:
Ellipse is centered at the origin.
Major axis is horizontal, with length 8.
The length of its minor axis is 4.
To find:
The equation of ellipse.
Solution:
Major axis is horizontal, so standard form of ellipse is
[tex]\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
where, (h,k) is center of the ellipse and length of major axis is 2a and length of minor axis is 2b.
Ellipse is centered at the origin. So, h=0 and k=0.
Major axis is horizontal, with length 8.
[tex]2a=8[/tex]
[tex]a=4[/tex]
The length of its minor axis is 4.
[tex]2b=4[/tex]
[tex]b=2[/tex]
Substitute h=0, k=0, a=4 and b=2 in equation (i).
[tex]\dfrac{(x-0)^2}{4^2}+\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex]
Therefore, the required equation of ellipse is [tex]\dfrac{x^2}{16}+\dfrac{y^2}{4}=1[/tex].
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ2
Assume that an investment of $9000 earns an APR of 6% compounded monthly for 18 months. How much money is in your account after 18 months?
Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
The state of Minnesota covers an area of 51 million acres, while the state of Vermont covers 6 million acres. How many times larger is the state of Minnesota as compared to Vermont
Answer: 8.5
Step 1: Multiply by 6 until you reach 51.
6 x 8 = 48.
Step 2: Subtract.
51 - 48 = 3.
Step 3: Convert 3/6 to decimal.
3/6 = .5
Answer = 8.5 times larger
Answer: 8.5
Step-by-step explanation:
One hundred minus
six times x is equal to
twenty-seven
What is algebraic expression?
Answer:
100 - 6x = 27
Step-by-step explanation:
Please help due tmmrw I'll give you brainliest
Answer:
12
Step-by-step explanation:
AD: AC=3:6, so the ratio is 1:2
AC:AB=6: AB, AB=12
i will give brainliest solving x
Answer:
6
Step-by-step explanation:
Determine a relationship between the x- and y-values. Write an equation.
Answer:
X increasing by one and Y decrasees by 2
The correct relation between x and y is [tex]y=x-2[/tex].
Given information:
The table showing the values of x and y is:
x 1 2 3 4
y -1 0 1 2
From the given table, it can be seen that with an increase in the value of x, the value of y also increases.
From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.
The relation between x and y can be written as,
[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]
Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].
For more details, refer to the link:
https://brainly.com/question/20632687
Two dice are rolled. What is the probability that the sum of the numbers rolled is either 4 or 9? Express your answer as a fraction in lowest terms or a decimal rounded to
the nearest millionth.
Answer:
1/4
Step-by-step explanation:
There are 36 possible combinations. Of those 36, the ones that add up to either 6 or 9 are:
1+5, 2+4, 3+3, 4+2, 5+1, 3+6, 4+5, 5+4, 6+3
There are 9 combinations that add up to either 6 or 9. So the probability is 9/36, or 1/4.
Solve the equation for x.
3x + 11 – X + 23 = 4
Answer:
x = -15
Step-by-step explanation:
3×+34-×=4
2×+34=4
2×+34-34=4-34
2×=4-34
2×= -30
2×/2=-30/2
×= -15