Answers
Answer:
(a) P = 3000·1.15^t
(b) 12,137
Step-by-step explanation:
(a)The equation gets filled in so it looks like ...
P = (initial amount) × (1 +growth rate)^t
where t is in units compatible with the growth rate.
P = 3000·1.15^t
__
(b)Midnight is 10 hours later than 2 p.m., so the quantity will be ...
P = 3000·1.15^10 ≈ 3000·4.045558 ≈ 12,137
There will be 12,137 bacteria at midnight.
Related Questions
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Answers
First find the negative reciprocal of the gradient for y = -1/2 x + 1 to find the perpendicular line gradient.
-1/2 = 2
Gradient of perpendicular line = 2
Perpendicular line is y=2x + c
Substitute (8,-1) into the line to find the y-intercept (c).
-1 = 2(8) + c
-1 = 16 + c
c = -17
Therefore, the perpendicular line is y = 2x - 17.
please help me, please and thank youuu! :D
Answers
Answer:
f = - [tex]\frac{19}{7}[/tex]
Step-by-step explanation:
Given f varies directly with m then the equation relating them is
f = km ← k is the constant of variation
To find k use the condition f = - 19 when m = 14
- 19 = 14k ( divide both sides by 14 )
- [tex]\frac{19}{14}[/tex] = k
f = - [tex]\frac{19}{14}[/tex] m ← equation of variation
When m = 2 , then
f = - [tex]\frac{19}{14}[/tex] × 2 = - [tex]\frac{19}{7}[/tex]
HELP ME PLZ DONT USE DEMOS GRAPHING
graph y=-1/4x+6
Answers
Answer:
.
Step-by-step explanation:
3. Calculer le volume d'un cylindre de rayon 4 cm et de hauteur 15 cm ( valeur exacte puis arrondie au centième
Answers
Answer:
4*15*pi
188.495559215
188.50
Answer:
188.50
Step-by-step explanation:
One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?
Answers
Answer:
He had $210.1 after deductions.
Step-by-step explanation:
Add his regular pay and overtime pay together
$375.50 + $65.50 = $441
Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.
$441 - $230.90 = $210.1
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answers
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
Divide. Then check using multiplication. The first one is done for you. Lesson 22 5.2 485 divided by 15.
Answers
Answer:
Its answer is 32.33
Step-by-step explanation:
After a power failure, the temperature in a freezer increased at an average rate of 3.5 °F per hour. The total
increase was 10.5 °F. Enter and solve an equation to find the number of hours until the power was
restored. Let x represent the number of hours it takes for the temperature to increase to 10.5 °F.
Answers
x=hours
7.5=2.5x
3=x
x=3
3 hours until the power was restored
solve similar triangles (advanced)
Answers
Answer:
12 =x
Step-by-step explanation:
We can use proportions to solve
6 x
---- = -------
10 10+10
Using cross products
6 ( 10+10) = x*10
6*20 = 10x
120 = 10x
Divide by 10
120/10 = x
12 =x
Answer:
x = 12
Step-by-step explanation:
ABC ~ ADE
AB/AD = BC/DE
10/20 = 6/x
x = 20 x 6 ÷ 10
x = 12
Simplify completely quantity x squared plus 12 x plus 35 all over 3 x plus 15 . (1 point)
quantity of x squared plus 21 over 3
quantity of x squared plus 11 over 3
quantity x plus 7 over 3
quantity of x plus 5 over 3
Answers
Answer:
(c) (x +7)/3
Step-by-step explanation:
Factor each expression and cancel common factors.
[tex]\dfrac{x^2+12x+35}{3x+15}=\dfrac{(x+7)(x+5)}{3(x+5)}=\boxed{\dfrac{x+7}{3}}[/tex]
Answer:
C
Step-by-step explanation:
passed the quiz
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Answers
Given that
Money of a man = Rs. X
Money given to his wife = half of the money
= Rs. X/2
Money given to his son = 1/4th of the money
⇛Rs. X/4
Money given to his daughter = Rs. 1200
Total money
⇛ (X/2)+(X/4)+1200 = X
⇛ (2X+X+4800/4 = X
⇛ (3X+4800)/4 = X
⇛ (3X+4800) = 4X
⇛4X=3X+4800
⇛4X-3X = 4800
⇛X = 4800
⇛X-4800 = 0 is the required equation
⇛X = 4800
The money of the man = Rs. 4800 Ans.
also read similar questions: what if a man has 19 cows and he wants to give Half of them to his brother 1/4th to Son and 1/5th to daughter?
https://brainly.com/question/23613815?referrer
What is the area of 2.4
Answers
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.
Answers
Answer: ($2100+96d) + ($2755+116d)
= $4855+212d
y=-2x-3
y=2x-1
y=x+ 4
y=-x+ 2
y=-2x-3
y= x+ 4
y=2x-1
y=-x+ 2
match with WXYZ
Answers
Step-by-step explanation:
I don't understand. what are W, C, Y, Z ?
all I can do is solving the 4 systems of equations for x and y.
y = -2x - 3
y = 2x - 1
adding the equations
2y = 0 - 4 = -4
y = -2
-2 = 2x - 1
-1 = 2x
x = -1/2
y = x + 4
y = -x + 2
adding the equations
2y = 0 + 6 = 6
y = 3
3 = x + 4
x = -1
y = -2x + 3
y = x + 4
multiply second equation by 2, add the result to first
2y = 2x + 8
3y = 0 + 11 = 11
y = 11/3
11/3 = x + 4 = x + 12/3
x = -1/3
y = 2x - 1
y = -x + 2
multiply second equation by 2, add the result to first
2y = -2x + 4
3y = 0 + 3 = 3
y = 1
1 = -x + 2
-1 = -x
x = 1
Marcus has twice as many pens as Bryan. Together they have 36 pens. How many pens does each boy have?
Answers
Answer:
Marcus has 24 pens while Bryan has 12 pens.
Step-by-step explanation:
Let u rep 1 unit.
Marcus = 2u
Bryan = u
2u+u=36
3u=36
u=36÷3
=12
No. of pens Marcus has
= 2u
= 2×12
= 24
No. of pens Bryan has
= u
= 12
I need to know if they are simular or not, i also need an explanation
Answers
Answer:
Step-by-step explanation:
11
WHICH PROPERTY IS BEING USED IN THE FOLLOWING?
15 × 1 = 15
Answers
Answer:
This is the Idenity Property
Step-by-step explanation:
The Identity Property for multiplication states that anything times 1 is the same number.
3x1=3, and 8192x1=8192 (Do you play 2048?)
The zero property: Anything multiplied by zero is zero.
1000000000000000000000000000000x0=0, 4096 x 0 = 0, and so on.
The associative property: Any where numbers are grouped in parenthesis or brackets, you still get the same answer.
(6 x 7) x 78 is the same as 6 x (7 x 78)
The commutative property: When you switch the order of numbers, you get the same answer.
256 x 32 is the same as 32 x 256
PLS HELP TY!!
Two functions, function A and function B, are shown below:
Function A
x y
7 14
8 16
9 18
Function B The first quadrant of a coordinate grid is shown from 0 to positive 8 on both axes at intervals of 1. The title is Function B. Only the even numbers are shown on the scale. A line is drawn by connecting the points on ordered pairs 1, 3 and 2, 6 and 3, 9.
Which statement best compares the rate of change of the two functions? (1 point) The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B. The rate of change of function B is greater than the rate of change of function A.
Answers
Answer:
The rate of change of function B is greater than the rate of change of function A
help me divide me 1/4 divided my three
Answers
Answer:
1/12
Step-by-step explanation:
1/4 divide by three= 1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Explanation: In order to divide fractions, you must follow these 3 simple steps:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal.
Step 3. Simplify the fraction (if needed).
help pls !! i am confused
1.
2.
3.
4.
Answers
please help me with this question.
Answers
Answer:
Exact Form: 309/25
Mixed Form: 12 and 9/25
Step-by-step explanation:
Choose the angle which is represented by the name.
RUN and NUG
Answers
Answer:
Option C
Step-by-step explanation:
Both RUN and NUG have U in the middle of them, so the bottom one would be correct as U is in the center.
Three consecutive integers add up to 30. Which integers are they?
Answers
Answer:
30 31 33 are the three integer consective
DOM
The weight of a car is modeled with the polynomial 3x2 – 25x + 204. The weight of a truck is modeled with the polynomial x² + 17x + 40
What polynomial represents the total weight of the car and truck?
Answers
Answer:
4x^2-8x+244
Step-by-step explanation:
Which graph represents the solution of the inequality |3x+12| ≥ 3?
Answers
Answer: A
Step-by-step explanation:
The solution to the inequality is x <= -5 and x>=-3 so A is correct
Giving brainliesttttttt
Answers
Answer:
I think it is the line D as a thought
Which relation is a function?
Answers
Answer:
only the v-shaped graph is a function
Step-by-step explanation:
the circle, the vertical line, and the sideways parabola would not pass the 'vertical line test' which is where, if a vertical line is drawn through the graph then the line would not intersect the graph in more than one point
What is the answer to -6n^2 - 5n - 7 = -8
Answers
Answer:
n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]
What is the length of EF in the right triangle below?
Answers
Answer:
A.24
Step-by-step explanation:
EF=√(25)²-(7)²
EF=√625-49
EF=√576=24
Pls help pls help it’s my last question
Answers
Answer:
5
Step-by-step explanation:
Answer:
3 3/4
Step-by-step explanation: