Number of bacteria each species start out with for the given exponential growth function is equals to 1000.
What is exponential growth function?
" Exponential growth function is defined as the the process of the increment in the initial quantity over the period of time 't'."
Formula defined
Exponential model
[tex]y =y_{0} e^{kt}[/tex]
[tex]y =[/tex]growth in the quantity
[tex]y_{0}[/tex] = initial quantity
[tex]k=[/tex] exponential growth
[tex]t=[/tex] time taken to grow
According to the question,
Given exponential function,
For Species A : [tex]y=1000 (2^{\frac{t}{3} } )[/tex]
For Species B : [tex]y=1000 (2^{3t} )[/tex]
't' represents the number of days after the growth begins
a. For the given condition of the exponential growth function ,
t = 0 when species start out with
For species A
[tex]y=1000 (2^{\frac{0}{3} } )[/tex]
⇒ [tex]y=1000[/tex]
For species B
[tex]y=1000 (2^{3(0) } )[/tex]
⇒ [tex]y=1000[/tex]
Hence, number of bacteria each species start out with for the given exponential growth function is equals to 1000.
Learn more about exponential growth function here
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PLEASE HELP ME I NEED AN ANSWER ASAP!! <3
(photo included)
Answer: B.
tan 45=perpendicular/base
1=8/AB
So, AB=8
Since it's a right-angled triangle, BC is a hypotenuse.
BC=√(AC^2+AB^2)
=r√(8^2+*^2)
=8 √2
Simple interest I in dollars is calculated using the formula I=prt. Here, p represents the
principal, or amount, in dollars that is invested or borrowed; r represents the annual
interest rate, expressed as a percent; and t represents time, in years. Find the value of
the remaining variable in the simple interest formula. (Hint: Write percents as decimals.)
1 = $1080, r = 4%, t = 3 years
Answer:
129.6
Step-by-step explanation:
If f(x) = 2x, then f-1(x) =
1/2 х
x-2
-2x
Answer:
1/2x
Step-by-step explanation:
y = 2x
To find the inverse, exchange x and y
x = 2y
Solve for y
Divide each side by 2
x/2 = 2y/2
1/2x = y
The inverse is 1/2x
A rectangle I'd formed by placing two identical squares side by side. The area of the rectangle is two centimeters squared. What is the perimeter of one square.
Answer:
4cm
Step-by-step explanation:
first find the length of one side of the square
let x represent that
making 2x length of the rectangle
area of a rectangle=length x width
2cm²=2x×x
2cm²=2x²
2cm²/2=2x²/2
1cm²=x²
1√cm²=√x²
1cm=x
perimeter of a square=4xside
4x1cm
4cm
I might give brainliest, please help down below.
Answer:
4.) 7.03
5) 2.31
6.) five tenths
7) nine hundredths
8. 7
9.) three tenths
Earth is the third planet from the Sun, with an average distance of
93,000,000 miles. It takes light about 8 minutes to travel from the Sun
to Earth.
Pluto, a dwarf planet, has an average distance of 3.7 X10° miles
from the Sun. How many times farther from the Sun is Pluto than
Earth? How long does it take light to reach Pluto?
Answer:
The ratio of the distance of Pluto and the earth to the Sun is 40.
Time taken by light to travel from Sun to Pluto is 5.3 hours.
Step-by-step explanation:
Distance between Earth an Sun = 93,000,000 miles
Time from Sun to Earth = 8 minutes
Distance beteen Pluto and Sun = 3.7 x 10^9 miles
The ratio of the distance between Pluto and Sun to the Earth and Sun is
[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]
Now let the time taken by the light to move from Sun to Pluto is t.
[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]
Which of the following functions is graphed below?
Answer:
Answer B - y=[x]+7
Step-by-step explanation:
A normal [x] function has a slope of one, a y intercept of 0, and all the other basic values.
7 changes this.
Looking at the graph, we see that the y intercept is now 7.
How can this be? x was added to by 7.
If it was subtracted, it would be -7, not postive 7.
So the answer is y=[x]+7
Hope this helps!
Answer:
A
Step-by-step explanation:
when we accept X to 0, y should be 7 and when we accept X to 2 or 4 or 6, y should be in order to 9, 11 and 13.
Math question too tough for me, for every math question, i have to ask
Answer:
I'm pretty sure that the answer is 55.
Sorry if I'm wrong.
Please help me!! I will mark you as BRAINLIEST ANSWER!
Which data set has high consistency and low variability? Why?
Answer:
I would say Group A
Step-by-step explanation:
There is more of the latter half than the first half, meaning there is low variability but high consistency in the second half.
Which fraction equals the ratio of rise to run between the points (0, 0) and (6, 7)? A. B. C. D.
Answer:
7 / 6
Step-by-step explanation:
Given the points:
points (0, 0) and (6, 7)
Point 1 : x1 = 0 ; y1 = 0
Point 2 : x2 = 6 ; y2 = 7
The rise = y2 - y1 = 7 - 0 = 7
The run = x2 - x1 = 6 - 0 = 6
Ratio of Rise to Run = Rise / Run = 7 / 6
Write twelve thousand twelve hundred and twelve in numbers
13,212
Step-by-step explanation:
12000+1200+12
This is such a mind bending question
Goodluck
I need help please!!
Answer:
10 or in coordinate form(0,10)
Step-by-step explanation:
The y intercept is where the line crosses the y axis
The graph crosses the y axis at 10
(0,10)
if you can bake 14 cupcakes in one hour how long will it take to bake 126 cupcakes?
Answer:
9 hours
Step-by-step explanation:
126 dived by 14 is 9, so it will take 9 hours to bake 126 cupcakes.
Answer: It will take maybe 9 hours
hope this helps :)
Step-by-step explanation:
Please help. I really need to pass this.
Answer:
3.75
Step-by-step explanation:
r²+9²=(6+r) ²
r²+81 = 36+12r + r²
81=36+12r
=> 12r = 45
r = 45/12 = 3.75
Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5
Answer:
First, we write the augmented matrix.
⎡
⎢
⎣
1
−
1
1
2
3
−
1
3
−
2
−
9
|
8
−
2
9
⎤
⎥
⎦
[1−1123−13−2−9 | 8−29]
Next, we perform row operations to obtain row-echelon form.
−
2
R
1
+
R
2
=
R
2
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
3
−
2
−
9
|
8
−
18
9
⎤
⎥
⎦
−
3
R
1
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
5
−
3
0
1
−
12
|
8
−
18
−
15
⎤
⎥
⎦
−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]
The easiest way to obtain a 1 in row 2 of column 1 is to interchange
\displaystyle {R}_{2}
R 2
and
\displaystyle {R}_{3}
R 3
.
Interchange
R
2
and
R
3
→
⎡
⎢
⎣
1
−
1
1
8
0
1
−
12
−
15
0
5
−
3
−
18
⎤
⎥
⎦
InterchangeR2andR3→[1−11801−12−1505−3−18]
Then
−
5
R
2
+
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
57
|
8
−
15
57
⎤
⎥
⎦
−
1
57
R
3
=
R
3
→
⎡
⎢
⎣
1
−
1
1
0
1
−
12
0
0
1
|
8
−
15
1
⎤
⎥
⎦
−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]
The last matrix represents the equivalent system.
x
−
y
+
z
=
8
y
−
12
z
=
−
15
z
=
1
x−y+z=8 y−12z=−15 z=1
Using back-substitution, we obtain the solution as
\displaystyle \left(4,-3,1\right)
(4,−3,1)
Explain how to use a graph of the function f(c) to find f(3).
find the value of x and y, (3x - 2y, 7) = (11, x + y)
Answer:
Step-by-step explanation:
Given,(3x-2y,7)=(11,x+y)
So,3x-2y=11...............(i)
7=x+y
or,x+y=7................(ii)
Now,Multiplying eqn.(ii) by 2,we get,
2x+2y=14...........(iii)
Adding eqn(i) and eqn(iii),
3x-2y+2x+2y=11+14
or,5x=25
or,x=5
Substituting value of x in eqn(i),
5+y=7
or,y=2
Hence,the values of x and y are 5 and 2 respectively.
What's the perimeter of this shape?
Answer:
32m
Step-by-step explanation:
7+5+5+4+4+1+3+3=32
Nathan dove −4 feet into a pool. Jenny dove deeper into the same pool. Which could represent the depth that Jenny dove?
A −5 feet
B −3 feet
C 2 feet
D 6 feet
Simplify (12^0)(12^6). Write your answer using an exponent. Explain how you found your answer.
Step-by-step explanation:
(12^0)(12^6)
1 ×12⁶. (a⁰=1, a is a number)
=12⁶
Solve the following quadratic equation. *
x^2+12x-45=0
Answer:
9 over 5
Step-by-step explanation:
Answer:
Step-by-step explanation:
x^2 + 12 - 45 = 0
solving by middle term break method
x^2 + (15 - 3) - 45 = 0
x^2 + 15x - 3x - 45 = 0
x(x + 15) - 3(x + 15) = 0
(x + 15)(x - 3) = 0
either x + 15 = 0 OR, x - 3 = 0
x + 15 = 0
x = 0 -15
x = -12
x - 3 = 0
x = 0 + 3
x = 3
therefore x = -12,3
i have done solution for the given question in two different methods.
the solution done in note copy is by using quadratic formula.
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
If you place a 36 foot ladder against the top of a building and the bottom of the ladder is 32 feet from the bottom of the building how tall is the building round to the nearest tenth of a foot
Answer:
height = 16.5 feet
Step-by-step explanation:
Givens
Start by drawing a right angle triangle. The hypotenuse is 36 and the side adjacent to where the ladder meets the ground is the adjacent side. The tallest part of the building is found from the Pythagorean Theorem.
Givens
Hypotenuse = 36
Adjacent = 32
Height = ?
Formula
a^2 + b^2 = c^2
c is the ladder length
a = 32
b = ?
Solution
32^2 + b^2 = 36^2
1024 + b^2 = 1296 Subtract 1024 from both sides
b^2 = 1296-1024
b^2 = 272 Take the square root of both sides.
sqrt(b^2) = sqrt(272)
b = 16.49
"4 + 3" is an example of a(n) ___
Answer:
Additive property of association?
You did not specify what kind of answer you are looking for.
You could just be looking for something like "addition problem" or "polynomials" or anything.
I will edit or comment an answer if this gets editted with a bit more specification. :D
Step-by-step explanation:
a que taxa mensal devo empregar um capital de r$ 20.000 para que no fim de 10 meses renda 18.000 de juros
Answer:
Following are the solution to the given question:
Step-by-step explanation:
[tex]\to 18000=2000 \times i \times 10 \\\\\to 18000=200000 \times i\\\\\to i=\frac{18000}{200000}\\\\\to i= \frac{18}{200}\\\\ \to i= \frac{9}{100}\\\\ \to 0.09\\\\[/tex]
Calculating the percentage:
[tex]\to 0.09\times 100=9\%[/tex]
Help I’m to lazy to do it
Simplify (5np3)3
Question shown as picture
Answer:
[tex]125 {n}^{3} {p}^{9} [/tex]
a girl 65 marks out of 80. What percent mark did she have?
Answer:
the marks obtained by a girl in percentage is 81. 25%
Answer:
81.25%
Step-by-step explanation:
100 (65/80)
Which number(s) below belong to the solution set of the inequality? Check all
that apply.
X+ 30 < 60
A. 30
B. 45
C. 1
D. 50
E 300
F 29
Answer:
C) 1
F) 29
Step-by-step explanation:
all numbers less than 30 are solutions
Answer:
C. 1
F 29
Step-by-step explanation:
X+ 30 < 60
Subtract 30 from each side
X+ 30-30 < 60-30
x < 30
A. 30 no not less than 30
B. 45 no not less than 30
C. 1 yes
D. 50 no not less than 30
E 300 no not less than 30
F 29 yes
simplify the following
(2p+1)(2p-1)