Given:
The given function is:
[tex]Y(t)=25e^{3t}+12[/tex]
Where Y represents the number of bacteria present at time t minutes.
To find:
The time taken by bacteria population to reach 100 bacteria.
Solution:
We have,
[tex]Y(t)=25e^{3t}+12[/tex]
Putting [tex]Y(t)=100[/tex], we get
[tex]100=25e^{3t}+12[/tex]
[tex]100-12=25e^{3t}[/tex]
[tex]88=25e^{3t}[/tex]
Divide both sides by 25.
[tex]\dfrac{88}{25}=e^{3t}[/tex]
Taking ln on both sides, we get
[tex]\ln (\dfrac{88}{25})=\ln e^{3t}[/tex]
[tex]\ln(\dfrac{88}{25})=3t[/tex] [tex][\because \ln e^x=x][/tex]
Divide both sides by 3.
[tex]\dfrac{1}{3}\ln(\dfrac{88}{25})=t[/tex]
Therefore, the required time is [tex]\dfrac{1}{3}\ln(\dfrac{88}{25})[/tex] minutes.
Plz help me thanks
Complete the square to make a perfect square trinomial. Then, write a result as a binomial squared. m^2-13m
m^2-13+ ? =( ? )^2
Answer:
Look at the picture
Hope it helped!
Answer: m^2 - 13m + 42.25 = (m - 6.5)^2
notes:
6.5 = 13/2
42.25 = 169/4
======================================================
Explanation:
The coefficient in front of the m is -13. Cut this in half to get -13/2 = -6.5
Then square this result to get (-6.5)^2 = 42.25
We need to add 42.25 to the expression in order to complete the square
This allows us to factor to get m^2 - 13m + 42.25 = (m - 6.5)^2
Note how the equation is in the form
a^2 - 2ab + b^2 = (a-b)^2
where a = m and b = 6.5
ill give brainliest to whoever helps
Answer:
25
Step-by-step explanation:
I think it’s 25 cause I did
[tex]x+30+x+40+2x+10=180[/tex]
[tex]4x+80=180[/tex]
[tex]4x=180-80[/tex]
[tex]\frac{4x}{4} =\frac{100}{4}[/tex]
[tex]x=25[/tex]
(b)
[tex]2(25)+10[/tex]
[tex]=50+10[/tex]
[tex]=60[/tex]
help me with this and I will give you a chicken
Answer:
Mode:15
Mean:149
The Range:4
hope this helps don’t be mad if this is wrong pls don’t be mad if it’s wrong if it’s right hope it helps
SOMEONE PLEASE HELP ME ASAP THIS IS ALMOST DUE!!
The price of an iphone was reduced from $960 to $840. By what percentage was the price of the iphone reduced?
A. 13.5%
B. 12.2%
C. 13%
D. 12%
Answer:
13.5%
Step-by-step explanation:
I hope this helps and also searched the internet for the answer
Answer:
12.5%
Step-by-step explanation:
960-840=120
120/960=12.5%
4+4=? Trick Question :3
Answer:
8
Step-by-step explanation:
Lol hope this helps!
hmmmmm....... 10? :)
What is 6 x 1 1\4 in fractions
giving out brainliest answer please help me out asap !! it’s due today
Answer:
180=3x+7x+10
simplify
180=10x+10
subtract 10 from both sides
170=10x
divide both sides by 10
x=17
Put the steps in correct order to prove that if x is irrational, then 1/x is irrational using contraposition.
a. Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
b. Hence x is rational.
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
d. Observe that x is the quotient of two integers with the denominator nonzero.
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
One-way ANOVA and two-way ANOVA are different because:__________
a. The single factor in one-way ANOVA has only one level.
b. Each factor in the two-way ANOVA has exactly two levels.
c. The one-way ANOVA concerns a single factor with multiple levels and the two ANOVA concerns two factors with also multiple levels.
d. The one-way ANOVA concerns a single factor with a single level and the two ANOVA concerns two factors with a single level each.
Answer:
c. The one-way ANOVA concerns a single factor with multiple levels and the two ANOVA concerns two factors with also multiple levels.
Step-by-step explanation:
The main difference between one way anova and two way anova is that one way anova has a single independent variable and two way anova has two independent variables.
The dependent variables may vary . They may be one , two or three. They do not affect the method used.
So one-way ANOVA concerns a single factor and the two ANOVA concerns two factors.
So the best choice is option c.
2x(27x+5) Evaluate this please
Answer:
54x^2 + 10x
Step-by-step explanation:
Solve for X. What does X equal?
Step-by-step explanation:
Apply angle sum of triangle, that means the sum of all interior angles in a triangle is equal to 180°.
So that, (x + 45) + 50° + 90° = 180°.
However when we simply do 45+50+90, the answer is already bigger than 180.
So the question is made wrong.
How much does 9.45 kg equal grams
Answer:
9.45 kg is 9450 grams.
Step-by-step explanation:
1 kg = 1000
9.45 x 1000 = 9450
Step-by-step explanation:
1kg =1000gram
9.45kg =9.45×1000
9450gramhope it helps.
Can someone help me with question 1 and 2 please
A picture frame measures 5 inches wide and 7 inches long. What is the perimeter of the frame?
Please help what’s this answer ?! And the last answer is 2/5
Answer:
F 0.45
Step-by-step explanation:
Total number of students: 15 + 8 + 27 + 10 = 60
Number of students who took theater: 27
part = 27/60 = 0.45 = 45%
Answer: F 0.45
Answer:
I'm answering for your last question....it wouldn't let me post under the one that I had to
anyways your answer is d
Find the exact value of sin (13pi/8)
Answer:
degree 0.089
radian -0.92
Step-by-step explanation:
A rectangle measures 8 3 inches by 9 4 inches. What is its area?
Answer:
Step-by-step explanation:
7,802 in
What happens to y as x approaches negative infinity in the function y=log(x)
Answer:
There are no real values of y for negative x, for the function y = log(x).
Step-by-step explanation:
Need help asap! Please and thank you
Answer:
Choice A
Step-by-step explanation:
f(x) - g(x)
x^3 - 4x + 2 - (x - 2)^2
x^3 - 4x + 2 - (x^2 - 2x - 2x + 4)
x^3 - 4x + 2 - (x^2 - 4x + 4)
x^3 - 4x + 2 - x^2 + 4x - 4
x^3 - x^2 - 2
helppp please no links i give brainly-est just help UwU
Answer:
igure it out based on the explanation
Step-by-step explanation:
do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!
Answer only if you know if you put links I will report
Answer:
WHATS THE QUESTION, BRO??
Step-by-step explanation:
Nth term for quaratic sequence -7,-6,-3,2,9,18,29
Answer:
-7, -6, -3, 2, 9, 18, 29, 42, 57
Rule: + 1, + 3, + 5, + 7, + 9, + 11, + 13, + 15, + 17......................
1. What is the absolute value of 8?
Answer:
8
Step-by-step explanation:
Answer: 8
Step-by-step explanation: For absolute values, all values are positive. It is basically the positive inverse of the number.
What do you mutiply when doing surface area
Answer:
Depends on the shape for rectangles its base × height for triangles its base × height × 1/2
Which expression is equivalent to (see the picture)
A. 20x-21y +14
B. 20x + 11y + 14
C. 20x - 11y + 6
D. 20x + 21y +6
Answer:
A
Step-by-step explanation:
[tex]\frac{1}{5} (150x-80y+50-50x-25y+20)[/tex]
step 1 apply the 1/5 to everything that inside of the parenthesis
[tex]\frac{150x}{5} =30x\\\\\frac{-80y}{5} =-16y\\\\\frac{50}{5} =10\\\\\frac{-50x}{5} =-10x\\\\\frac{-25y}{5} =-5y\\\\\frac{20}{5} =4[/tex]
we now have 30x - 16y + 10 - 10x - 5y + 4
Step 2 combine like terms
30x - 10x = 20x
-16y - 5y = - 21y
10 + 4 = 14
we're left with 20x - 21y + 14 Which corresponds with answer choice A
Answer:
20x-21y+14
Step-by-step explanation:
1/5(150x-80y+50-50x-25y+20) is equal to 1/5(150x) + 1/5(-80y) + 1/5(50) + 1/5 (-50x) + 1/5(-25y) + 1/5(20)
So if we simplify, we would have 30x + (-16y) + 10 + (-10x) + (-5y) + 4, or 30x -16y + 10 -10x -5y + 4
When organizing the values by variable, the equation would look like this -
30x - 10x -16y -5y + 10 + 4
Combining like terms will result in 20x -21y + 14.
Hope this helps!
what happen when their is decrease in equilibrium price and increase in equilibrium quantity
Answer: An increase in demand, all other things unchanged, will cause the equilibrium price to rise; quantity supplied will increase. A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. ... A decrease in supply will cause the equilibrium price to rise; quantity demanded will decrease.
1. devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. to get the wax for the candle, devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. how many of the wax cubes will devin need in order to make the candle? show your work.
Answer:
1.6875
Step-by-step explanation:
Volume of a pyramid = 1/3 (l*w*h)
Volume = 1/3(6 * 6 * 9)
Volume = 2 * 6 * 9
Volume = 108 cm³
Volume of cube = s³ ; s = side length
Volume = 4³ = 4 * 4 * 4 = 64 cm³
Number of wax cube = Volume of pyramid / volume of cube
= 108 cm³ / 64 cm³
= 1.6875
The ratio of red jelly beans to green jelly beans in a jar is 5:4. If there are 108 total jelly beans in the jar then how many red jelly beans must be in the jar?
Answer:
21
Step-by-step explanation:
5.
13 points
A piece of jewelry that regularly costs $120 is on sale for $96. What is the percent of decrease in the
price of the jewelry piece?
A 15%
B 20%
C 18%
D 30%
Answer:
The answer is B
Step-by-step explanation:
There are 39,945 people in a baseball stadium.
4,130 are rooting for the away team, and the rest
are rooting for the home team. Enter the number
of people who are rooting for the home team.
Answer:
35815
Step-by-step explanation:
just subtract
Answer:
35,815 people rooted for the home team.
Step-by-step explanation:
Subtract the total people watching by the people rooting for the away team.
39,945 - 4,130 = 35,815
Hope this helps! :)