Answers
Answer:
1a
Step-by-step explanation:
8000*0.25=2000
2000*0.25=500
500*0.25=125
...
A, or f(x) = 8,000(1/4)^x
8,000 is our starting number since number of half lives is our x, and at x = 0, remaining amount of substance is equal to 8,000. As we can see on the graph, the number decreases by a quarter of its original value every time. Since the number is not getting bigger, we use a fraction instead of a whole number. Finally, the exponent makes sure that it’s a quarter of the product from before.
Hope this helps!
Related Questions
The cost of a ticket for 3 days stay in a cruise ship is 35,968. If 500 tickets were sold, what was the total amount collected?
Answers
Step-by-step explanation:
a ticket for 3 days cost = 35968
cost of 1 ticket = 35967÷3= 11989.33
therefore, 500 tickets cost= 500 x 11989.33
= 5994666.666, approximately 5994667
Simplify 3a(2a+7)-2a²
Answers
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?
Answers
Answer:
Thats one heck of a whole lot nuts
Step-by-step explanation:
A car travels 270 kilometers in 6 hours. How far will it
travel in 9 hours at the same speed?
Pls pa help po
Answers
Answer:
405
Step-by-step explanation:
divide 270 by 6 the multiply what you got with 9
:)
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answers
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5
Plz help brainiest to the correct answer
Answers
1. -2 + 15 = 13
If the temperature is -2 and it rises 15 degrees, the new temperature is 13 degrees.
2. The temperature rose 15 degrees
-6 + 9 = 15
Answer:
1 a) 13 degrees Celsius
b) By fifteen degrees
Hello! so is this correct? is 16.093 x 10 = 5,000? or278,300? please help me if you see this. Thanks.
Answers
Answer:
160.93
Step-by-step explanation:
I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.
hope this helped! :)
I need help please!!! My teacher doesn't teacher and she has asked us to do a problem I don't know how to do it. Can somebody explain or give the answer and show your work so I can understand that way? I will be giving away 20 points and brainliest. Thank You!
A patient is told to avoid caffeine for 8 to 12 hours before a blood test scheduled for 6 a.m. The blood test is reliable for up to 50 milligrams of caffeine in the bloodstream. The patient’s body metabolizes caffeine at a rate of 13% per hour.
a. At 10 p.m., the patient drinks a cup of coffee containing 150 milligrams of caffeine. Will the patient be ready for the blood test by 6 a.m.? Explain.
b. How many milligrams of caffeine could the patient have ingested at 7 p.m. and been ready for the blood test at 6 a.m.?
Answers
Using exponential functions, it is found that:
a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
b) The patient could have ingest 231 milligrams of caffeine.
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:
Caffeine metabolize at a rate of 13% per hour, hence [tex]r = 0.13[/tex].Then:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = A(0)(1 - 0.13)^t[/tex]
[tex]A(t) = A(0)(0.87)^t[/tex]
Item a:
The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].
At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).
[tex]A(t) = A(0)(0.87)^t[/tex]
[tex]A(8) = 150(0.87)^8[/tex]
[tex]A(8) = 49.2[/tex]
Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.
Item b:
This A(0), considering A(11) = 50, hence:
[tex]50 = A(0)(0.87)^{11}[/tex]
[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]
[tex]A(0) = 231[/tex]
The patient could have ingest 231 milligrams of caffeine.
A similar problem is given at https://brainly.com/question/25537936
d.One rectangle weighs what
Answers
Answer:
the answer is 2
Step-by-step explanation:
because 7 + 2 = 9 then 9+2=11
Basically find the circumcenter.
the map shows the three most highly populated location of a city, City officials want to build an emergency healthcare cent in a location that sis the same distance from each of the three locations. Find the coordinates of the location the city should use for the emergency healthcare center.
Coordinates:
A(2,14) B(12,14) C(5,0)
Answers
Answer:
(7 , 7.75)
Step-by-step explanation:
you have $15 and earn an additional $0.50 for each cup of water you sell. write an equation that represents the total amount of A (in dollars) you have after selling w cups of water
Answers
Answer: A = 15 + 0.5(w)
Step-by-step explanation: The above equation represents the amount of dollars after selling w cups of water. Remember: we also have 15 in advance, so we add that to the total amount of cups sold. We multiply 0.5 (the amount earned per water cup) by w (the number of water cups sold) and we will get our answer.
To check this, let's say we sold 10 water cups. So w = 10. Therefore, we write A = 15 + 0.5(10). That = A = 15 + 5 which A = 20. We can use any number in place of w now and we will know it is correct using this formula
The equation 5y = 6 represents purchasing 5 tubs of yogurt for $6. Which of these equations are equivalent to the equation 5y = 6?
a
15y = 18
b
5y - 1 = 3
c
5y + 4 = 10
d
5y = 12
Answers
Answer: a 15y=18 and c 5y+4=10
Step-by-step explanation:
What is the solution for the system of equations?
y = -x +4
y = x- 2
• (3, 1)
• (1, - 2)
• (-2, 1)
• (1, 3)
Answers
Answer:
1, 3
Step-by-step explanation:
// Solve equation [2] for the variable y
[2] y = x - 2
// Plug this in for variable y in equation [1]
[1] (x -2) + x = 4
[1] 2x = 6
// Solve equation [1] for the variable x
[1] 2x = 6
[1] x = 3
// By now we know this much :
y = x-2
x = 3
// Use the x value to solve for y
y = (3)-2 = 1
What type of triangle is ACD?
Thank u
Answers
Answer:
equilateral triangle
Step-by-step explanation:
B. equilateral triangle
Graph the solution to this inequality on the number line.
-16 > -4p
0
-10
-8
-6
-4.
-2
2.
4
6
CO
CO
8
10
0
Answers
Answer: Graph is below
=============================================================
Explanation:
We divide both sides by -4 to isolate p. This will flip the inequality sign.
-16 > -4p
-16/(-4) < -4p/(-4)
4 < p
p > 4
The graph has an open hole at 4 and shading to the right. See below.
The solution of the inequality - 16 > - 4p is shown in number line as given below in figure.
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
Given that;
The inequality is,
⇒ - 16 > - 4p
Now, Solve the inequality as;
⇒ - 16 > - 4p
Multiply by -1;
⇒ 16 < 4p
Divide by 4;
⇒ 4 < p
Thus, The solution of the inequality is,
⇒ 4 < p
And, This is shown in number line.
Learn more about the number line visit:
https://brainly.com/question/28223520
#SPJ2
Help with number 3 please
Answers
Answer:
A biconditional statement is a combination of a conditional statement Its converse written in the if and only form
How many fish are in the aquarium in the restaurant?
Answers
Answer:
Which Restaurant and aquarium
Step-by-step explanation:
If you tell the name I can answer it
The function f(x) is shown in this graph.
5
(0,2)
The function g(x) = -3x - 6. Compare the slopes,
Help plz
Answers
Answer:
The slopes are equal
Step-by-step explanation:
Calculate the slope m of f(x) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m = [tex]\frac{2-5}{0-(-1)}[/tex] = [tex]\frac{-3}{0+1}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
g(x) = - 3x - 6 ← is in slope- intercept form
with slope m = - 3
Then the slopes of f(x) and g(x) are equal, meaning the lines are parallel
Please I really need help (50 points)
Provide the missing statements and reasons for the following proof.
Answers
Answer:
PROOF FOR THE "PROVE" SECTION:
As linear pairs, angle 2 and 3 are supplementary to each other. Angle 1 is equal to angle 2, as they are both same-side interior angles. Therefore, angle 1 and angle 3 are also supplementary.
Filling in the missing blanks:
S1. Angle 1, Angle 2, Angle 3
S2. Angle 1 and Angle 2
R3. Congruent (___)
R5. supplementary angles
S7. Angle 1 = Angle 2, so Angle 1 can be substitued in for Angle 2 in any equation, and Angle 2 can be substitued for Angle 1 in any equation as well (they can replace each other, like x=y & y=x or a=b & b=a)
Hope this helped! Have a great day (pls mark brainliest)!!
A pump fills a pool at a constant rate. At the end of 4 minutes it has filled 36 gallons
of water. Which table represents the relationship between the number of minutes and
the number of gallons of water in the pool?
А
B
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
4.
1
1
4
8
2
2
8
12
3
3
12
с
D
Time
Water
(minutes) (gallons)
Time Water
(minutes) (gallons)
1
9
9
1
2
18
18
2
3
27
27
3
Answers
Answer:
C
Step-by-step explanation:
36 gallons ÷ 4 minutes = 9 per minute
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answers
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
HELP!!!
list the sides of ABC in order from shortest to longest!
Answers
What is a theme of the poem "Dream Variations" by Langston Hughes?
It is life's desire to live freely and expressively without boundaries.
People have the power within to make a fresh start in life.
One should spend less time living in the past and enjoy the present.
It is important to find balance between work and rest.
Answers
One theme of the poem Dream variations is the desire to live freely and expressively (option A).
In poems and other literary texts, themes are deep ideas about life that are indirectly expressed by the author. In the case of the poem "Dream variations", the author Langhtons Hughes refers to life and death.
About life, Hughes expresses the importance of living life at its fullest before death occurs. This desire to live freely and expressively is shown in verses such as:
"To fling my arms wideIn the face of the sun"
or in
"To whirl and to dance"
Learn more about poem in: https://brainly.com/question/9527212
Answer:
Step-by-step explanation:
I took the quiz :)
Graph
Y-7=-3/5-(x+2)
Answers
Answer:
See attached
Step-by-step explanation:
A simpler form of the same equation is:
y = -4 +(4+2/5)
please help me asap..
ty :)
Answers
Answer:
x = 3, 0
y = 0, -4
Step-by-step explanation:
Seven tickets for a Broadway show cost $385. How much will only 4 tickets cost?
Answers
Answer:
That seems a little hard-
Step-by-step explanation:
Answer:
$220
Step-by-step explanation:
If seven tickets cost 385, then 1 ticket costs one-seventh of that amount, so we divide it by 7 to see how much one ticket costs.
385/7 = 55
One ticket is $55. To find out how much 4 tickets cost, multiply 55, the price of one ticket, by 4.
55 * 4 = 220
$ tickets cost $220
A forest covers 54,000 acres. A survey finds that 0.6% of the forest is old-growth trees. How many
acres of old-growth trees are there?
Answers
Answer:
324
Step-by-step explanation:
Abigail must move a bucket of tomatoes from her garden to her kitchen, as represented on the grid below.
y
Kitchen
L(5, 1)
-1 0
2
Garden
-(-3, 4)
Answers
step by step explanation:
Answer:
Step-by-step explanation:
9.43
What is the equation of the line that passes
through the points (0, -6) and (-2, -7)?
Answers
hope this helps
9. How many 6 inch strands of string
can be cut from a length of string
that is 8 yards long?
