Answer:
1250 bacteria
Step-by-step explanation:
The formula for Exponential Growth is given as:
P(t)= Poe^rt
Where
P(t) = Population after time t
Po = Initial Population
r = growth rate
t = time
Hence, solving for the above question , we have to find Po
Making Po the subject of the formula
Po = P(t)/e^rt
Step 1
Find the Exponential growth rate
At the end of 3 h there are 10,000 bacteria.
Hence:
Po = 10000/e^3r.... Equation 1
At the end of 5 h there are 40,000 bacteria.
Po = 40000/e^5r..... Equation 2
Equating both equations together,
10000/e^3r = 40000/e^5r
Hence:
e^5r/e^3r = 40000/10000
e^2r = 4
Take the In of both sides
In (e^2r) =In 4
2r= In 4
r = In 4/2
r = In 2
Step 2
Solve for Po(Initial Population)
Using Equation 2
Po = 40000/e^5r..... Equation 2
r = In2
Po = 40000/e^5 × In 2
Po = 40000/2⁵
Po = 1250 bacteria.
Therefore, they was 1250 bacteria initially
The Maxwell family goes out for dinner. The price for the
meal is $90. The sales tax on the meal is 7.25% and they
also want to leave an 18% tip. What is the total cost of the
meal?
Answer:
$113.90
Step-by-step explanation:
Find the cost of the meal with sales tax:
90 x 0.075 = 6.525
Add that to the original cost of the meal:
90 + 6.525 = 96.525
Find the cost of the tip:
96.525 x 0.18 = 17.3745
Add the tip to the meal price:
96.525 + 17.3745 = 113.8995
Round to get your final answer
are behind on your classes?
yes. how'd you knowwww?
Answer:
no
Step-by-step explanation:
PLEASE HELP
What is 2/3 of 15% of $2,000?
F. $100
G. $200
H. $300
J. $450
K. $500
Answer:
$200 dollars my friend.
Step-by-step explanation:
Hope I helped!
The solution is Option G.
The value of the equation A = ( 2/3 ) x 15% x $ 2000 = $ 200
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
A = ( 2/3 ) x 15% x 2000 be equation (1)
On simplifying the equation , we get
A = ( 2/3 ) x ( 15/100 ) x 2000
A = ( 2/3 ) x ( 15 ) x ( 20 )
On further simplification , we get
A = ( 2/3 ) x 300
A = 2 x 100
A = $ 200
Therefore , the value of A is $ 200
Hence , the equation is A = $ 200
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Which of the following values of n will result in a true statement when
substituted into the given equation?
2n + 4 = 12
A n = -1
B n = 0
C. n = 4
D. n = 6
Answer:
C. n=4
Step-by-step explanation:
got it
how does energy from the sun travel to earth ?
Answer:
the heat.. energy is heat and when its hot outside thats the energy from the sun
Helpppp meeeeeee plsssss
Answer:
Domain: [-4, ∞)
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Step-by-step explanation:
According to the graph, our line's x-values span from -4 to infinity. Since -4 is closed dot, it is inclusive in the domain:
Interval Notation: [-4, ∞)
Interval Notation: y ≥ -4
which of the following in an organic molecule
A.salt
B.lipid
C.carbon dioxide
D.water
Answer:
B. lipid is an organic molecule
PLEASE HELP THIS IS TIMED
consider functions f and g.
[tex]f(x) = 3 \sqrt{x} + 1[/tex]
(SEE IMAGE ABOVE)
what is the value of f(g(1))
Answer:
f(0) = +1
Step-by-step explanation:
g(1) for x = 1 is Zero .
Substitute it into the function f(x) then you will get 1.
PLS HELP FOR BRIANLIST!!!! There are 8 more students in a math class than in a history class. If the ratio of the students in the math class to the history class students is 9 : 7, how many students are in math class?
Answer:
9-7= 2
8 / 2 = 4
4 X 9 = 36
4 X 7 = 28
36 students in math class
Answer:
36 students in the math class
Step-by-step explanation:
Brady needs to cut a piece of scrapbook paper
12 centimeters long. He cuts pieces of the following
lengths. Which cut results in a percent error of 15%?
Select all that apply.
Answer:
Option A and Option C
Step-by-step explanation:
If we know that we have to cut a peice of paper 12 centemiters long, that means a 15% error would be cutting out one of the following lengths....
12 - 12(0.15) = 10.2 cm
or
12 + 12(0.15) = 13.8cm
So from this, we see that the answers are Option A and Option C
Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?
Answer:
Jane spend 4 hours in a day sleeping, and 28 hours in a week.
Step-by-step explanation:
In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.
In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28
I would appreciate brainliest.
Please help on this will mark the first answer brainliest
Answer:
The equation is 3n + 13 = 40 The triplets are 9 years old
Step-by-step explanation:
~Help, please-~
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Also out of all these boys which one do you think is the [tex]cutest[/tex]?
1. Katsuki Bakugou
2. Eijiro Kirishima
3. Izuku Midoriya
4. Denki Kaminari
5. Tenya Ida
6. Yuga Aoyama
7. Mashirao Ojiro
8. Koji Koda
9. Rikido Sato
10. Mezo Shoji
11. Hanta Sero
12. Fumikage Tokoyami
13. Shoto Todoroki
14. Minoru Mineta
15. Tamaki Amajiki
Answer:
never heard of them
and the answer is choice B.
Step-by-step explanation:
alternate exterior angles have the same measure
in a school, 56% of the 850 students are girls. work out the number of girls in the school
Answer:
476 girls
Step-by-step explanation:
total students : 850
56% of 850 = 476
Help me mdkskkeeknsjeleksksk
Answer:it’s an unknown number
Step-by-step explanation:
please answer now i am being timed
If f(x) = 5 + 4(x - 4)?,
what is f(7)?
Answer:
Let's solve for f.
x=5+4(x−4)f(7)
Step 1: Flip the equation.
28fx−112f+5=x
Step 2: Add -5 to both sides.
28fx−112f+5+−5=x+−5
28fx−112f=x−5
Step 3: Factor out variable f.
f(28x−112)=x−5
Step 4: Divide both sides by 28x-112.
f(28x−112)28x−112=x−528x−112
f=x−528x−112
Answer:
f=x−528x−112
A bank offers an annual simple interest rate of 6% on home improvement loans. How much would Tobias OWE IN ALL if he BORROWED $12,000 over a period of 3 years?
Answer: $14160
Step-by-step explanation:
Simple interest would be calculated as:
= PRT/100
where,
P = Principal = $12000
R = Rate = 6%
T = Time = 3 years
Simple interest = ($12000 × 6 × 3)/100
= $216000/100
= $2160
The amount that Tobias owe in all would be:
= $12000 + $2160
= $14160
PLEASE HELP QUICK
Solve 3/10n - 3 1/5= -1 1/5.
n = 8
n = - 6/25
n = 6 2/3
n = -12 2/3
Answer:
It is 6 and 2/3
Step-by-step explanation:
Hope this helps
Answer:
6 2/3
Step-by-step explanation:
Credits to the person above :)
What will be the answer in the finish box
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
Evaluate the function f(x) = 3x-5 when x= -3
f(-3)
If two angles of a triangle have measures 42∘ and 20 ∘ what is the measure of the third angle?
Answer:
[tex]x = 118[/tex]
Step-by-step explanation:
[tex]42 + 20 + x = 180[/tex]
[tex]62 + x = 180[/tex]
[tex]x = 180 - 62[/tex]
[tex]x = 118[/tex]
Which expression shows 18 + 15 written as a product of two factors?
3(6+5)
6(3+5)
3(9+5)
6(3+2)
Pls help
The expression that shows 18 + 15 as a product of two factors is 3(6 + 5)
How to rewrite the expression as a product?The expression is given as:
18 + 15
Factor out 3 from the expression
18 + 15 = 3 * (6 + 5)
Hence, the expression that shows 18 + 15 as a product of two factors is 3(6 + 5)
Read more about expressions at:
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A plane leaves at 11:22 a.m. and arrives at 3:13 p.m. How long was the flight?
A. 3 hours and 51 minutes long
B. 3 hours and 35 minutes long
C. 14 hours and 35 minutes long
D. 4 hours and 35 minutes long
E. 8 hours and 9 minutes long
Answer:
A. 3 hours and 51 mins long
Step-by-step explanation:
22-13= 9 min difference
11-3=4 but since there is a 9 min difference it would be 9 mins away from 4 hours so that why is it 3 hours and 51 minutes long
hope this wasnt confusing
Plz help I am failing in math and only have a week!!
Answer:
11. Slope of the line is 7/10.
12. Slope of the line is [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
11. Given points are:
(-6, 1) and (4, 8)
Slope of a line is given by the formula;
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{8-1}{4-(-6)}[/tex]
m = [tex]\frac{7}{4+6}[/tex]
m = [tex]\frac{7}{10}[/tex]
Slope of the line is 7/10.
12. Given points are:
(2, -3) and (5, -4)
Slope of the equation is;
m = [tex]\frac{-4-(-3)}{5-2}[/tex]
m = [tex]\frac{-4+3}{3}[/tex]
m = [tex]\frac{-1}{3}[/tex]
Hence,
Slope of the line is [tex]-\frac{1}{3}[/tex].
what is the domain of this function? 
x
2
5
8
11
14
17
20
y
1
3
7
13
21
31
43
answer soon please ty!!!
Answer:
no real numbers
Step-by-step explanation:
4(f + 1) = 12
what does f equal
Answer:
f=2
Step-by-step explanation:
4(f+1)=12
4f+4=12
-4 -4
4f=8
f=2
Answer
F = 2
Step-by-step explanation:
Distributive property: 4f+4=12
-4 -4
Subtraction property of equality: 4f=8
/4. /4
Division property of equality: f=2
60% of what number is equal to 30?
Answer:
50
Step-by-step explanation:
60% of 50 is 30
Find the perimeter in simplest form and explain your work
9514 1404 393
Answer:
7 1/8 yd
Step-by-step explanation:
The perimeter is the sum of the three side lengths. They are all the same, so we can use multiplication to find their sum.
P = 3·(2 3/8 yd) = 6 9/8 yd . . . . . 9/8 = 1 1/8
P = 7 1/8 yd
The perimeter is 7 1/8 yards.
Answer:
[tex]perimeter \: of \: the \: triangle \\ = 2 \frac{3}{8} +2\frac{3}{8} + 2 \frac{3}{8} \\ = 3 \times 2 \frac{3}{8}\\= 3 \times \frac{19}{8} \\ = \frac{57}{8} \: yd \\ = 7 \frac{1}{8} \: yd[/tex]
57/8 yards is the right answer.please help 20 points ---> Which statement about the Great Compromise is accurate?
A. It included all of Edmund Randolph’s ideas.
B. It was a completely new and different plan.
C. It overlooked the issue of state representation.
D. It merged the ideas of multiple delegates’ plans.
Answer: B. It was a completely new and different plan.
Step-by-step explanation: