2. The number of atoms of a particular chemical element is modelled by
the following function: y=600 x 3-* where x is the number of hours.
a) How many atoms of the element were there at the start?
b) Draw a graph for 0
c) At what time were there 150 atoms?
Answers
9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
__
b) see attached for a graph
__
c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Related Questions
At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?
Answers
Answer:
-17°C at sunset
15°C at sunrise
Please answer!! No links!! Thx :D
Answers
Answer:
60 seconds
Step-by-step explanation:
The y-intercept is 60
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help. Help me please
Answers
Answer:
12,300
Step-by-step explanation:
I'll right this as a function to make it easier on me.
f(x) = 7500(1 + 0.8)^x
f(2) = 7500(1 + 0.8)^2
f(2) = 7500(1 + 0.64)
f(2) = 7500(1.64)
f(2) = 12300
Answer:
$8700
Step-by-step explanation:
0.08 x 2 yrs = 0.16
7500 x 0.16 =1200
7500 + 1200 = 8700
what number can you use in place of the pi symbol
Answers
Answer:
You can use 3.14 or 22/7 in the place of π.
Answer:
3.14
Step-by-step explanation:
22/7 when simplified is 3.142857143 and pi is 3.141592654
How to simpfly fractions?
-Step by step
-Answer 15/36
Answers
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
5/12
Step-by-step explanation:
15/36 ÷ 3
5/12
mark mope brainliest
Can someone please help me asap ill mark brainlist + extra points!!!!!
Answers
8. Radius=8 diameter=16 area=8^2pie
Circumference=16
9. Radius=10 diameter=20 area=10^2pie
Circumference=20
Step-by-step explanation:
1. radius=d/2= 30/2= 15yds
diameter= 30yds
area=πr²= 22/7*(15)²
707.14yds²
circumference= 2πr=2*22/7*15
94.29yds
2.radius=8in
diameter= 2r =2(8)=16in
area=πr²= 22/7*(8)²
201.14in²
circumference= 2πr=2*22/7*13
50.29in
3.radius=d/2 =20/2=10ft
diameter= 20ft
area=πr²= 22/7*(10)²
314.29ft²
circumference= 2πr=2*22/7*10
62.86ft
write a quadratic function in the given form whose graph satisfies the given condition.
passes through (-4, 0), (2, 0), & (6, -20) in intercept form.
pls dont just steal points away...i rly need help with this...can you provide work to if not thats ok
Answers
Answer:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
Step-by-step explanation:
We want to find a quadratic that passes through the points:
[tex](-4, 0), \, (2, 0), \text{ and } (6, -20)[/tex]
In intercept form.
First, note that the first two given points are the x-intercepts of our quadratic. Intercept or factored form is given by:
[tex]y=a(x-p)(x-q)[/tex]
Where p and q are the x-intercepts, and a is the leading coefficient.
So, we will substitute -4 and 2 for p and q:
[tex]y=a(x-(-4))(x-(2))[/tex]
Simplify:
[tex]y=a(x+4)(x-2)[/tex]
Next, the third point (6, -20) tells us that y = -20 when x = 6. So:
[tex](-20)=a(6+4)(6-2)[/tex]
Solve for a:
[tex]-20=10(4)a\Rightarrow 40a=-20[/tex]
Thus:
[tex]\displaystyle a=\frac{-20}{40}=-\frac{1}{2}[/tex]
Hence, our equation in intercept from is:
[tex]\displaystyle y=-\frac{1}{2}(x+4)(x-2)[/tex]
Line BC is tangent to the circle centered at A. Find the measure of angle BCA. Explain or show your reasoning.
Answers
Answer:
[tex] m\angle BCA= 33\degree[/tex]
Step-by-step explanation:
[tex] In\: \odot A[/tex] BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
[tex] \therefore AB\perp BC[/tex]
[tex] \therefore \angle ABC = 90\degree [/tex]
[tex] In\: \triangle ABC, [/tex]
[tex] m\angle ABC +m\angle BAC +m\angle BCA= 180\degree [/tex]
[tex] 90\degree+57\degree +m\angle BCA= 180\degree [/tex]
[tex] 147\degree +m\angle BCA= 180\degree [/tex]
[tex] m\angle BCA= 180\degree - 147\degree[/tex]
[tex] m\angle BCA= 33\degree[/tex]
Find the length of the arc. Round your answers to the nearest tenth.
Answers
Answer:
89.5 cm
Step-by-step explanation:
circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm
(270/360)(119.32) = 89.5 cm
I need help what is d/7 > 15???
Answers
Answer:
d>107
Step-by-step explanation:
I am sorry if you got this wrong..
Jaylah has two packages of trail mix. The first package weighs 2.40 pounds and the second package weighs 3.25 pounds. She mixes the two packages together and forms smaller bags amounts that weigh 0.25. What is the greatest number of 0.25 bags Jaylah can make using the trail mix she has?
Answers
Find the cost of tiling the floor of a room which is 250m long and 100m wide at the rate of Tk.
80 per m2.
Answers
Answer:
2000000Taka.
Step-by-step explanation:
Area of the room= 250x100
=25000m²
Each m²= Tk 80
so, 25000x80
=2000000 Taka.
plz mark me as brainliest !
I’ll give brainiest!
What is the length of BD?
Round to one decimal place.
С
3.4
6.5
D
?
8
0 0
A
4.9
B
Answers
Answer:
[tex] BD \approx 2.6[/tex]
Step-by-step explanation:
By angle bisector theorem:
[tex] \frac{3.4}{BD} = \frac{6.5}{4.9} \\ \\ BD = \frac{3.4 \times 4.9}{6.5} \\ \\ BD = \frac{16.66}{6.5} \\ \\ BD = 2.56307692 \\ \\ BD \approx 2.6[/tex]
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know
Answers
Answer:
When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.
Step-by-step explanation:
Answer:
There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.
Step-by-step explanation:
the correct answer
Item costing $16 is sold for $27.50 what's the markup? Whats the% of markup on cost and selling price?
Answers
Answer:
The market up is 11.5$.......
Ellen ate dinner at a restaurant. The bill came to $63. If she left a 15% tip, what was the total cost of her dinner ? Round your answer to the nearest dollar : $
Answers
Answer:
72.45
Step-by-step explanation:
Take 63 and multiply by 0.15 to represent the tip
Then take the answer of 9.45 and add it to 63
Your final answer is 72.45.
63.00×15%=9.45 +63.=72.45
In the given ∆ABC, DE || BC. What is the value of x?
A)12 in.
B)16 in.
C)20 in.
D)30 in.
Answers
Answer:
I think B is the correct answer, sorry im not very good with math tho.
Step-by-step explanation:
Sorry if its incorrect
Which list shows these numbers in order from least to greatest?
37
6
-5.17, 33,
26
5
Answers
Answer:
The answer to this question should be H
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
The answer would be letter C
99 newspapers in 3 piles
Answers
Answer:
33 newspapers per 1 pile.
Step-by-step explanation:
33+33+33=99
Answer:
there would be 33 news papers in each pile
Step-by-step explanation:
when you divide 99 from 3 you will get 33 so you would have 33 in each pile hope this helps.
What is easier math or reading? Explain why.
Also be serious when answering
Answers
Answer:
That is an opinion. Some find math easier and some find reading easier. There is no right or wrong answer to that.
Step-by-step explanation:
Answer:
reading is easier than math because math has to do with numbers and there are so many diffrent ways to do math and so may diffrent formals to us for math there for reading is easier than math
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x? x = 8 x = 10 x = 13 x = 18
Answers
Answer:
x = 10
Step-by-step explanation:
Each exterior angle of a regular decagon has a measure of (3x + 6)°. What is the value of x?
The sum of the exterior angles of a decagon = 360°
Decagon = 10 sides
Each angle in a decagon = 360/10
= 36°
We are told that:
Each exterior angle of a regular decagon has a measure of (3x + 6)°.
Hence,
(3x + 6)° = 36°
Collect like terms
3x = 36 - 6
3x = 30
x = 30/3
x = 10
Answer: The person above me is correct! It is B. X=10 I got a 100% on the test! Edge2021
Step-by-step explanation:
Roger has two dogs which are named Sparky and Cookie. The relationship of Sparky’s age, s, and Cookie’s age, c, can be represented by the equation shown below. s = c + 4 *
Answers
Answer:
sparky is 4 years older than cookie
__________________________
hope this helps, I wasn't entirely certain what the question was.
pls help asap will make brainliest
Answers
Answer:
,,,,,,,,,,,,,,,,,,,,
3 3
Insert three rational and three irrationall
no. between 150 and
and 0
160
Answers
Answer:
Step-by-step explanation:
Rational numbers:
(150+160)/2 = 310/2 = 155
(150+155)/2 = 305/2= 152.5
(155 +160)/2 = 315/2= 157.5
155, 152.5 , 157.5 are rational numbers between 150 and 160
Irrational numbers:
Irrational numbers are numbers that are non terminating and non repeating numbers
155.502003000.....
155.202002000......
156.3120578.......
Answer:
Required Answer :-1st rational number
= a + b/2
= 150 + 160/2
= 310/2 (1)
2nd rational number
Middle term of 150 and 160 is 155
= 150 + 155/2
= 305/2
3rd rational number
= 160 + 155/2
= 315/2
[tex] \\ [/tex]
Find the volume of the sphere. Either enter an exact answer in terms of π πpi or use 3.14 3.143, point, 14 for π πpi and round your final answer to the nearest hundredth.
radius is 8
Answers
Answer:
Solution :-Volume of sphere = 4/3 πr³
Volume = 4/3 × 3.14 × 8³
Volume = 4/3 × 3.14 × 512
Volume = 4/3 × 1607.68
Volume = 2143 in³
[tex] \\ [/tex]
Radius of the sphere is 8 units.
To Find:-The volume of the sphere.
Solution:-We know, volume of sphere is [tex] \frac{4}{3} [/tex]πr³
So, volume of sphere = [tex] \frac{4}{3} [/tex] × 3.14 × 8 × 8 × 8
= [tex] \frac{6430.72}{3} [/tex]
= 2143.6
The volume of the sphere is 2143.6 cubic units. [Answer]The polygons in each pair are similar. Find the missing side length.
A.4
B.3
C.3
D.7
Answers
Answer:
A. 4
Step-by-step explanation:
If the length 6 become 3 in the corresponding side of the congruent shape,
then 8 becomes 4 (Ratio 2:1)
Hope this helps
Javier researched how much his baseball team made in concession stand sales during the last 6 games.
$84, $70, $82, $28, $72, $84
Part A:
Calculate the measure of center--the median and the mean of the data Javier gathered.
Part B:
Using the calculations you made in Part A, explain which measure would be more representative of Javier's data.
B
The calculations you make in Part A ,  which measure would be more Representative of Javier's data
Answers
Complete the table and graph the solutions of the the equation is y = 2x + 1
Answers
The total area of a rectangular shaped playground is 24 1/2 squared meters. If the width of the playground is 3 1/2 meters, which of the following is the length of the playground?
a. 7m
b. 28m
c. 85.75m
d. 0.7m
Answers
Answer:
a
Step-by-step explanation: