Given:
The initial mass of an element is 800 grams.
Decay rate = 8.2% per day
Number of days = 15
To find:
The remaining element after 15 days.
Solution:
The exponential decay model is
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value r is the rate of interest and t is time period.
Putting [tex]a=800,r=0.082,t=15[/tex] in the above formula, we get
[tex]y=800(1-0.082)^{15}[/tex]
[tex]y=800(0.918)^{15}[/tex]
[tex]y=221.68188[/tex]
[tex]y\approx 221.7[/tex]
Therefore, the mass of the remaining element is 221.7 grams.
A quadratic equation is missing the “c” value: x²+20x+c=0.
Determine ONE (1) integer value of “c” that would result in TWO SOLUTIONS
Answer:
100
Step-by-step explanation:
[tex] {x}^{2} + 20x + c \\ \\ {x}^{2} + 2.x.10 + {10}^{2} \\ {x}^{2} + 20x + 100 \\ \implies \: {x}^{2} + 20x + c \\ \implies \: c = 100[/tex]
What is the value of the expression below when y=2 AND z=8?
8y-z
Answer:
Step-by-step explanation:
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)
(Find the VOLUME)
Please help I’m being ya I really don’t wanna stay up late (NO LIKE) (NO LYING)
Answer:
okay first of all I can't see anything and second of all if you wanna find answer to this the use calculator, multiply the 3 digits of length, width and height
Help please will mark brainliest!!!
Answer:
176.71
Step-by-step explanation:
you can just search up "area of circle calculator and plug in the radius
I need someone to hurty
Answer:
82.5
if its wrong sorry
hope this helps you ☺️☺️
Help me please !!!!!!!!!!!!!!
Find the lateral area of this cone.
Leave your answer in terms of a.
12cm
5cm
LA = [ ?]
help me please and answer correctly people answer wrong on purpose
The graph above is a linear equation that includes the points (-3,-2) and (-1,2). Find the slope of the line. Explain how you arrived at your
answer.
Answer:
The slope is 2 and the equation would be m(x)=2x+4.
Step-by-step explanation:
y/x so by looking at the graph you would go up to units and over l unit, therefore giving you the slope of 2.
rob built a model of the 1903 Wright Flyer using a scale of 5 inches=16 feet. If the wingspan of his model is 12.5 inches long, find the wingspan of the actual flyer
Answer:
40.3
Step-by-step explanation:
ratios
What is the surface area of the container?
A.
1,228 sq cm
B.
1,636 sq cm
C.
219 sq cm
D.
818 sq cm
Answer:
the correct answer is B
Step-by-step explanation:
got it right!!!!
Question 6 (1 point)
Which point is not included in the solution set of the system of inequalities graphed below?
LOOK AT PICTURE
what is 3 1/4 x 3 2/5
Step-by-step explanation:
Exact Form:
2485"
Decimal Form:
49.6"
Mixed Number Form:
4935"
........................................................................................
Solve
........................................................................................
Answer:
10 - 15%
Step-by-step explanation:
Just guessing
Brainliest for correct answer.
Answer:
First option
V = π [tex]r^{2}[/tex] h
Answer:
the first one
Step-by-step explanation:
The ring Zp^3 has exactly____maximal ideals
Complete the equation using an area model 6 3/4 x 3 2/5=
Answer:
22.95
Step-by-step explanation:
a group of students collected old newspapers for a recycling project. the data shows the mass, in kilograms, of old newspapers collected by each student.
23, 35, 87, 64, 101, 90, 45, 76, 105, 60, 55
98, 122, 49, 15, 57, 75, 120, 56, 88, 45, 100.
A.) Find the range of the mass of the newspapers collected.
B.) Find the interquartile range.
Answer:
A. 107 kg
B. 49 kg
Step-by-step explanation:
if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?
Answer:
8,000,000
Step-by-step explanation:
This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.
Meaning? Well...
500,000 x 2 = 1,000,000 = 64yrs
1,000,000 x 2 = 2,000,000 = 128yrs
2,000,000 x 2 = 4,000,000 = 192yrs
4,000,000 x 2 = 8,000,000 = 256yrs
This is 4 times.
so every time it's doubled, it means the sum of that number times 2.
7. Which equation can be used to find V, the
volume of the triangular prism in cubic feet?
6
17
10
Answer:
V = 1/3 x base x height
Help plz I will give brainliest
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what’s the answer in miles?
PLEASE HELP ME OMG!!!
Answer:
The vehicle can drive 450 miles.
Step-by-step explanation:
You must find how many miles the car goes on one gallon, so since 300÷20= 15, you then know that the car can travel 15 miles per gallon. Therefore, you must do 15 x 30 to get 450 miles.
Answer:
450 miles
Step-by-step explanation:
By 20 gallons,the car travels 300 miles
by 1 gallon, car travels 300÷ 20 miles
By 30 Gallons, car travels: (300÷20 )×30
450miles
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
Find the slope of the line passing through the points (-6,-9) and (9,-9)
find the equation of the line use exact numbers
Answer:
y = -³/2x + 3
Step-by-step explanation:
To find the equation of the line in slope-intercept form, y = mx + b, we need to finder the slope (m) and the y-intercept (b).
✔️Slope (m) = ∆y/∆x
Using two points on the line, (0, 3) and (2, 0),
Slope = (0 - 3)/(2 - 0) = -3/2
Slope (m) = -³/2
✔️y-intercept (b) = 3 (this is the y-cooordinate of the point where the line intercepts the y-axis)
✔️To write the equation, substitute m = -³/2 and b = 3 into y = mx + b
This:
y = -³/2x + 3
-4x-6 whats the answer ? :)
Answer:
24 I think???
Answer:
-1.5
Step-by-step explanation:
-4x-6=0
+6 +6
-4x=6
---------
-4
x=-1.5
-4(-1.5)-6=0
6-6=0
0=0
A restaurant owner creates an advertisement promising $25 to take part in a food taste testing trial. The owner selects the first seven people who reply to the advertisement. Which of the following is true? (3 points)
a
It is not a valid sample because it does not tell the type of food.
b
It is not a valid sample because it is not a random sample of the population.
c
It is a valid sample because the first seven people were selected to participate.
d
It is a valid sample because money was offered to participants.
Dave went to a game convention to buy packs of trading cards. Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget. Let x represent how many packs of trading cards Dave bought. Which inequality describes the problem?
Answer: 5x>20
Step-by-step explanation: his budget is 20 so it will not be with the 5. Since each pack cost 5 dollars, it would 5x. Furthermore, the inequality symbol would be facing toward the 5 because dave went past his limit.
The inequality that represents he went over his $20 budget is 5x > 20.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Dave went to a game convention to buy packs of trading cards.
Each pack cost $5. To get all of the cards he wanted, he went over his $20 budget.
As he went over his budget the inequality that represents this situation is,
5x > 20.
learn more about inequalities here :
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