. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
WILL MARK BRAINLIST!!
simplify: 3/4 × 2x/5
Answer:
(3/10)x or if you didn’t undertsand that
[tex]\frac{3}{10}x\\[/tex]
Step-by-step explanation:
So multiplynormally, if theres an x in the numerator or denominator , it doesn’t matter since the variable is going to end up in the middle. Multiply it normally, simplify and then you would have (3/10)x
A tumor is injected with 0.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has decreased by 1.15%.
Write an exponential decay model with A(t) representing the amount of Iodine-125 remaining in the tumor after t days. Enclose arguments of the function in parentheses and include a multiplication sign between terms. For example, c*ln(t).
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
Answer:
The equation is [tex]A(t) = 0.52*(0.9885)^{(t)}[/tex].
0.4713 grams would remain in the tumor after 8.5 days.
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the amount of a substance that decays, after t days, is given by:
[tex]A(t) = A(0)*(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A tumor is injected with 0.52 grams of Iodine-125.
This means that [tex]A(0) = 0.52[/tex]
After 1 day, the amount of Iodine-125 has decreased by 1.15%.
This means that [tex]r = 0.0115[/tex]
So
[tex]A(t) = A(0)*(1-r)^t[/tex]
[tex]A(t) = 0.52*(1-0.0115)^t[/tex]
[tex]A(t) = 0.52*(0.9885)^t[/tex]
Then use the formula for A(t) to find the amount of Iodine-125 that would remain in the tumor after 8.5 days.
This is A(8.5).
[tex]A(t) = 0.52*(0.9885)^t[/tex]
[tex]A(8.5) = 0.52*(0.9885)^{8.5} = 0.4713[/tex]
0.4713 grams would remain in the tumor after 8.5 days.
what are the real solutions to the equation 5x2 + 29x + 20 = 0?
Answer:Solutions are: x = -5, x = -4/5.
Step-by-step explanation:
Answer: -30/29
Step-by-step explanation: Let's solve your equation step-by-step.
(5)(2)+29x+20=0
Step 1: Simplify both sides of the equation.
(5)(2)+29x+20=0
10+29x+20=0
(29x)+(10+20)=0(Combine Like Terms)
29x+30=0
29x+30=0
Step 2: Subtract 30 from both sides.
29x+30−30=0−30
29x=−30
Step 3: Divide both sides by 29.
29x/29=-30/29
Can someone help me pls
Answer:
AB is not a tangent
Step-by-step explanation:
yOA^2=OB^2+AB
AB y a tangent
19^2=361,15^2=225, 8^2+64=289
So here the tangent isn't a tangent.
Hope it helps.....
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.
Answer:
Its A
Step-by-step explanation:
Standard equation: y=mx+b
x+y=0
-x -x
y=-x+0
Sara and Atil ate the same number of cookies for lunch. However, Sara ate half of all
the cookies that her mom gave her, and Atil ate one-third of all the cookies that his
mom gave him. If til's mom gave him 2 more cookies than Sara's mom gave to Sara,
how many cookies did each of the kids eat?
Answer:
Sarah ate 2, atil ate 2
Step-by-step explanation:
The total number of cookie Sara got = y
Atill got 2 more than Sara so his total cookies is = 2+y
Sarah ate half if hers = y/2
Atil ate 1/3 of his = 2+y/3
We have
Y/2 = 2+y/3
Then we cross multiply
3y = 2(2+y)
3y = 4 + 2y
3y - 2y = 4
Y = 4
Since y = 4,
Sara ate 4/2 cookies = 2
Then atil ate 2+4/3 = 6/3 = 2 cookies
If f(x)=3-x^2,find f(-2)
Answer:-1
Step-by-step explanation:f(x)=3-x2
This is also...
f(x)=3+[(-1)(x2)]
We will execute the exponential. Then, we will multiply the result by the coefficient of -1.
f(-2)=3-(-2)2
f(-2)=3-(+4)
f(-2)=3-4
f(-2)=-1
Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph
Answer:
60
Step-by-step explanation:
120 miles divided by 2 hours equals 60 mph
Is 7 a factor of 18y + 27z?
Answer:
no
Step-by-step explanation:
Answer:
No, it can't be factored
Step-by-step explanation:
writing a two column proof (edge)
Simplify 5/8+1/2-(-6)
Answer:
5/8 +4/8 -(-6) =
9/8 + 6 =
9/8 + 48/8 =
57/8
Step-by-step explanation:
Find the value 0.5 x 0.5 x 0.5=
Answer:
0.125
Step-by-step explanation:
0.5 x 0.5 x 0.5 = 0.125
Mitchell went apple picking with the students in his art club. The line plot below shows the number of apples each student collected. Each X represents one student. Which statement about the data is true?
A
Most of the students collected 12 apples.
B
The median number of apples collected was 11.
C
The mean number of apples collected was 11.33.
D
The interquartile range of the number of apples collected was 2.5.
Answer:
A. Most of the students collected 12 apples.
Step-by-step explanation:
The line plotted on the graph is demonstrating the 12 apples picked from the club. The students are on the y-axis since they are independent and apples are placed on the x axis. The line is intersecting the points on x-axis. There is average collection of 12 apples by each student.
A rectangular cornfield has a length of 7 kilometers and an area of 63 square kilometers.
What is the width of the cornfield?
What will be the area if the length and width are doubled?
Answer:
The width is 9
Step-by-step explanation
Area formula is Length time width
9x7=63
If they are doubled, 18x14=252
Answer:
9 is the width of the cornfield. the area if both L and W doubled would be 252
Step-by-step explanation:
all you gotta do is divide 63 by 7 and you will get the width, 9.
formula: A/L=W
-------------------------------------------------------------------------------------------------------------
the area would be 252 if doubled both length and width because its multiplying 2 by 7 and 9, equaling to 14 and 18, which you multiply that together.
Answer right and you get brainliest
What is the area
does the graph represent a function
Answer:
no this is not a function
Step-by-step explanation:
because if you do the line test it touches both of the lines its kinda hard to explain but yeah
The 8 in 429.86 has ___________ the value of the 8 in 321.58
Answer:
more than
Step-by-step explanation:
The 8 in 429.86 is nearest because is 80/100 while the 8 in 321.58 is 8/100
Complete the table, for the following investments, which shows the performance (interest and balance) over a 5-year period.
Suzanne deposits $4000 in an account that earns simple interest at an annual rate of 2%. Derek deposits $4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually.
Answer:
After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.
Step-by-step explanation:
Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:
Suzanne:
((4,000 x 0.02) x 5) + 4,000 = X
(80 x 5) + 4,000 = X
400 + 4,000 = X
4,400 = X
Derek:
4,000 x (1 + 0.02 / 1) ^ 5x1 = X
4,000 x 1.02 ^ 5 = X
4,416.32 = X
Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.
The area of the shape below is
84 square centimeters.
a
10 cm
6 cm
12 cm
What is the length of a?
Answer:
Its D. 3cm
____________
Answer:
D=3
Step-by-step explanation:
Split this figure into 2 parts. Now you have 2 rectangles. One with sides 6 and 12. Other with sides (10 - 6) =4, and a.
Area of one rectangle is 12 × 6 = 72
Area of 2nd rectangle is 4 × a = 4a.
Since we know the total area of figure is 84
that means
72 + 4a = 84
4a = 84 - 72
4a = 12
a = 12 ÷ 4 = 3
a=3
answer please ill give brainlist and ten points
Answer:
The answer is 32.
Step-by-step explanation:
7 * A =
7 * 4 = 28
b^2 =
6^2 = 36
28 + 36 ÷ 9 = 32
So, the answer is 32.
Hope this helps! :)
pls answer fast this is my last assignments is giving 30 points and make the brainiest
Answer:
obama your mama she looks like joe mama
which statement is most likely true about the place modeled I the diagrams?
Answer:
The answer is below. I hope this is the answer your looking for.
Step-by-step explanation:
please help me with all i will give 40 extra points if you answer all of the question for me and brainliest plus 5 stars if the answer you put is absurd i will repo you thanks
Answer:
This one ?
Step-by-step explanation:
i need help with this!
Answer:
the square root of 23 is 4.8 or if you need the longer one it's 4.79583152331
Answer:
z=529
Step-by-step explanation:
Let's solve your equation step-by-step.
√z=23
Solve Square Root.
√z=23
z=232(Square both sides)
z=529
Check answers. (Plug them in to make sure they work.)
z=529(Works in original equation)
Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks
Answer:
There's 3 pages in the book
Step-by-step explanation:
You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)
Hope this helped!
Please help me with this
−3+5+6g=11−3g
-Aster
Answer:
g=1
Step-by-step explanation:
6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer
Answer:
g=1
Step-by-step explanation:
solved and got the same answer
Please help me with this question if you can
Answer:
exterior angle = the sum of two remote interior angles
14x + 1 = 89 + 5x - 7
=> 9x = 81
=> x = 9
substitute x = 9 into angle H (5x - 7)
=> 5(9) - 7 = 45 - 7 = 38
9)
The delivery van uses 33 litres of diesel to travel 264 miles.
How far would the van travel using 40 litres of diesel?
Answer:
find how much the truck travels in,a litre
PLEASE HELP ME PLEASE!
Answer:
-4 and d
==============
Please give brainliest, I really want to rank up, thank you!
Answer:
x = d
x = -4
Step-by-step explanation:
not sure i tried