Using an exponential function, the recursive formula that describes the fraction of contaminants still remaining in the liquid sample after passing through n filters is given by:
[tex]A[n] = (0.052)^n[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering an initial fraction of A(0) = 100% = 1, the decay rate is of r = 0.948, hence the formula is:
[tex]A[n} = (1 - r)^n[/tex]
[tex]A[n] = (0.052)^n[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
The ratio of left-handed students to right-handed students in Mr. Johnson's first period class is 2: 3. If there are 30 students in this class, how many are left-handed?
Answer:
12 left-handed students
Step-by-step explanation:
The ratio 2:3 indicates 2 left-handed students for every 3 right-handed students. This means 2 left-handed students are expected for every 5 total students. You can use this information and set up and solve the proportion 2/5 = x/30
Solve-3.5+4.2=?solve
Answer:
Step-by-step explanation:
0.7
-3.5
+ 4.2
______
If h(x) = 2x+3 and g(x) = 3x-2, find the value of goh(5).
Answer:
h(x)=2x+3
g(x)=3x-2
First we will find goh(x) then we will put the value of x i.e 5.
goh(x)= 3(2x+3)-2
goh(x)=6x+9-2
goh(x)=6x+7
Now put the value of x, we get
goh(5)=6(5)+7
We get the answer 37
Step-by-step explanation:
Jeff makes $30 to mow lawns plus $2 per hour. If Jeff made #38 for one lawn, how many hours did he work?
Answer:
4 hours
Step-by-step explanation:
What I did was since he automatically makes 30 dollars when mowing lawns, you can take it away then you have 8 and divide it by 2 then get 4 hours
The length of a rectangular parking area is two times the width. The perimeter is 90 ydFind the length and width of the parking area.
Question :-
The Length of a Rectangular Parking Area is Two times the Width. The Perimeter is 90 yards . Find the Length and Width of the Parking Area .Answer :-
Length of Parking Area is 15 yards .Width of Parking Area is 30 yards .Explanation :-
As per the provided information in the given question, we have been given that the Length of a Rectangular Parking Area is Two times the Width . The Perimeter is given as 90 yards . And, we have been asked to calculate the Length and the Width .
Let the Values be like :-
Length = xBreadth = 2xNow, for calculating the Length & Width , we will use the Formula :-
[tex] \bigstar \: \: \boxed{ \sf{ \: Perimeter \: _{Rectangle} \: = \: 2 \times [ \: Length + Breadth \: ] \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf{Perimeter \: _{Rectangle} \: = \: 2 \: \times \: [ \: Length \: + \: Breadth \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf { 90 \: = \: 2 \: \times \: [ \: x \: + \: 2x \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: [ \: 3x \: ]} [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 2 \: \times \: 3x } [/tex]
[tex] \longmapsto \: \: \: \sf {90 \: = \: 6x } [/tex]
[tex] \longmapsto \: \: \: \sf {x \: = \: \dfrac { \: 90 \: }{6}} [/tex]
[tex] \longmapsto \: \: \textbf {\textsf{ x \: = \: 15}} [/tex]
Therefore :-
[tex] \Longrightarrow \: [/tex] Length = x = 15 yards
[tex] \Longrightarrow \: [/tex] Breadth = 2x = 2 × 15 = 30 yards
[tex] \underline {\rule {210pt} {4pt}} [/tex]
Note :-
Kindly Scroll the Screen from Right to Left for Better View .The Length of Parking Area is 15 yards and the Width of Parking Area is 30 yards .
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The Perimeter is given as 90 yards. we have been asked to calculate the Length and the Width .
Let the Values be like :-
Length = x
Breadth = 2x
Now, we will use the Formula :-
Perimeter = 2(L + B)
By Substituting the given values in the above Formula :-
Perimeter = 2(L + B)
90= 2(x + 2x)
90= 2(3x)
45 = 3x
x = 15
Therefore :-
Length = x = 15 yards
Breadth = 2x = 2 × 15 = 30 yards
Learn more about the area;
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In
= 2n+2n²
find the first five terms
[tex]t(n) = 2 {n}^{2} + 2n [/tex]
_________________________________
[tex]t(1) = 2 ({1})^{2} + 2(1) [/tex]
[tex]t(1) = 2 \times 1 + 2 \times 1[/tex]
[tex]t(1) = 2 + 2 = 4[/tex]
##############################
[tex]t(2) = 2 ({2})^{2} + 2(2) [/tex]
[tex]t(2) = 2 \times 4 + 2 \times 2[/tex]
[tex]t(2) = 8 + 4 = 12[/tex]
##############################
[tex]t(3) = 2 ({3})^{2} + 2(3) [/tex]
[tex]t(3) = 2 \times 9 + 2 \times 3[/tex]
[tex]t(3) = 18 + 6 = 24[/tex]
##############################
[tex]t(4) = 2 ({4})^{2} + 2(4)[/tex]
[tex]t(4) = 2 \times 16 + 2 \times 4[/tex]
[tex]t(4) = 32 + 8 = 40[/tex]
##############################
[tex]t(5) = 2 ({5})^{2} + 2(5) [/tex]
[tex]t(5) = 2 \times 25 + 2 \times 5[/tex]
[tex]t(5) = 50 + 10[/tex]
[tex]t(5) = 60[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Drag each expression to show whether it is equivalent to 36x+9 or 9(4x−1).
Answer:
It is not equivalent.
Step-by-step explanation:
9(4x-1) simplifys out to 36x-9.
which of the following measures can have more than one value for a set of data?
A. Mean
B. median
C. mode
D.range
Answer:
C. mode
Step-by-step explanation:
The median and mean can only have one value for a given data set. The mode can have more than one value (see Mode section on previous page).
hi can youhelp me plese
pls answer this all pls quickly now
Answer:
1. 35 minutes
2. 12:15 p.m.
3. 110 minutes
4. 6:05 p.m.
5. 9:21 a.m.
Step-by-step explanation:
1. Subtract 2:55 from 3:30 = 35
2. Subtract 25 minutes from 12:40 = 12:15
3. Subtract 7:20 from 9:10 = 110
4. Add 35 minutes to 5:30 = 6:05
5. Subtract 33 from 9:54 = 9:21
which statement describes the point (8, 5) ?
A. the value of the x-coordinate is 5 and the point is above the x-axis
B. the value of the y-coordinate is 5 and the point is above the y-axis
C. the value of the x-coordinate is 8 and the point is to the right of the origin
D. the value of the y-coordinate is 8 and the point is above the x-axis
Answer:
C is the correct answer
A family has two cars. The first car has fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2150 miles, for a total gas consumption of 60 gallons, How many gallons were consumed by each of the two cars that week?
Answer:
the first car has 25 gallons of gases while the second car has 35 gallons of gases
Assume the total cost of a tertiary education will be R75 000 when your child enters university in 18 years. You presently have R7 000 to invest. What rate of interest must you earn on your investment to cover the cost of your child’s tertiary education?
Answer: you need 5000 more
Step-by-step explanation: 70000 + 5000= 75000
Laura cut small right triangle off the corners of a larger right triangle to make a trapezoid, as shown belo. What is the area of the shaded trapezoid A.18 square inches B. 21 square inches C. 42 square inchesD. 58 square inches
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
42 inches²
Step-by-step explanation:
→ Work out area of full triangle
0.5 × 10 × 10 = 50
→ Work out area of smaller triangle
0.5 × 4 × 4 = 8
→ Minus the answers
50 - 8 = 42
Identify the mistake and write down the correct answe 2/5 + 1/3 = 3/8
Answer:
The mistake is that the denominators are not the same in these fractions so you cannot add them yet. So, you would have to change the denominators to be the same before adding. The denominators I chose is 15, 2/5 times 3 which is equal to 6/15 and 1/3 times 5 which is equal to 5/15. Now, we can add 6/15 and 5/15 which is equal to 11/15!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
find the slope of the line that passes through the points A(-6,2) and B(5,-1).
A 3/11
B -3/11
C -1
D -11/3
Answer:
[tex]\boxed{\sf{m=-\dfrac{3}{11} }}[/tex]
Step-by-step explanation:
You simply need to use a slope formula that passes through the points in order to solve this problem.
Slope:
[tex]\sf{\dfrac{Y_2-Y_1}{X_2-X_1}=\dfrac{RISE}{RUN} }[/tex]
y2=(-1)
y1=2
x2=5
x1=(-6)
Rewrite the problem down.
[tex]\sf{\dfrac{-1-2}{5-(-6)}=\dfrac{-1-2}{5+6}=\dfrac{-3}{11}=\boxed{\sf{-\dfrac{3}{11} }}}[/tex]
-3/11
Therefore, the slope is -3/11, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
22, 16, 20, 21, 23, 17, 14
Answer:
19
Step-by-step explanation:
First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)
The value of square root of 35 is between 5 and 6. Which of the following is a more precise approximation of square root of 35?
Answer:6
Step-by-step explanation:
because [tex]\sqrt{35}[/tex] is closer to 6 than 5 and is also about 5.9...
PLS HELP QUICK DUE SOON
If I dilate a 2x2 square by a scale factor of 3, what will be the new area?
Answer:
36 square units
Step-by-step explanation:
A 2x2 square has sides that are 2 units long.
When you dilate by a factor of 3, each side has a length 3 times the original length. 2 * 3 = 6. Each side is now 6 units long.
area = side * side = 6 units * 6 units = 36 units^2
question is attached thank you so much
Ratio remains same
[tex]\\ \sf\longmapsto \dfrac{18}{27}=\dfrac{x}{45}[/tex]
[tex]\\ \sf\longmapsto 2/3=x/45[/tex]
[tex]\\ \sf\longmapsto 3x=90[/tex]
[tex]\\ \sf\longmapsto x=30[/tex]
A store sells ice cream with assorted toppings. They charge $$$3.00 for an ice cream plus $$50 cents per ounce of toppings.
How much does an ice cream cost with $$11 ounces of toppings?
Answer:
$5.50
Step-by-step explanation:
so if its $3 for an ice cream plus .50 cents per ounce all you have to do is 11 x 0.50 witch would equal $ 5.50.
Solve for d. 2(d + 2) = 10
Answer:
d=3
Step-by-step explanation:
multiply 2 to d and 2 then you'll have 2D + 4 = 10 then you subtract 4 to 10 you'll have six you divide 6 by 2 and then you'll have three which, d equals 3
Kristen drinks 0.5 liter of orange juice with breakfast each day for 15 days . how many milliliters of orange juice does Kristen drink during the 15 days?
Answer:
7500 ml
Step-by-step explanation:
first times 0.15 x 15
you get 7.5 liters during the 15 days
convert that into milliliters and its 7500ml
By the age of 27 justin had visited 25 of the 50 states what fraction of the states had justin visited
A:2/1
B:25/50
C:1/2
D:1/3
Answer:
Answer is B
Step-by-step explanation:
Answer:
Hello...
Step-by-step explanation:
The answer is:c)1/2
25/50=5/10=1/2
HOPE IT HELPS YOU DEAR....
What two numbers have a least common multiple of 40 and a greatest common factor of 2?
Dan drinks 6 more glasses of water than Becky.
Becky drinks 5 glasses of water.
How many glasses of water did Dan drink?
Answer:
Dan drank 11 glasses of water
Step-by-step explanation:
5 + 6 = 11
Answer:
11
Step-by-step explanation:
5+6=11
What is the least common multiple of 4 and 12? 4 12 24 D48
Answer:
12
Step-by-step explanation:
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Suppose you won 10,000,000 in the lottery.
How much do you think you will have to pay in taxes?
How did you determine this?
Answer:
nothing
Step-by-step explanation:
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