5. At the beginning of an experiment, there are ten bacterial cells in Petri Dish A and five bacterial cells in Petri Dish B. The number of bacterial cells
o in Dish A after h hours can be modeled with the equation a - 10(125)". The number of bacterial cells bin Dish B after h hours can be modeled
with the equation b - 5(25)" Based on this information, which of the following statements is true?
After one hour, the number of bacterial cells in Dish Ais equal to the number in Dish B
After one hour, the number of bacterial cells in Dish A is greater than the number in Dish B
After one hour the number of bacterial cells in Dish A is less than the number in Dish B.
After ten hours, there are approximately 125 bacterial cells in Dish A
After ten hours, there are approximately 50,000 bacterial cells in Dish B.
Answers
Related Questions
Use the number line below, where RS=9y+2, ST=2y+6, and RT= 52
Answers
Answer:
Step-by-step explanation:
Given
RS=9y+2, ST=2y+6, and RT= 52
The addition postulate is true for the number line.
RS+ST = RT
Substitute
9y+2+(2y+6) = 52
9y+2y+8 = 52
11y = 52-8
11y = 44
y = 44/11
y = 4
Find RS
RS = 9y+2
RS = 9(4)+2
RS = 36+2
RS = 38
Find ST:
ST = 2y+6
ST = 2(4)+6
ST = 8+6
ST = 14
Hence y = 4, RS = 38 and ST = 14
Given a central angle of 252° and an arc length of 44 ft, determine the radius.
Answers
Answer:
10ft
Step-by-step explanation:
Given parameters:
Central angle = 252°
Arc length = 44ft
Unknown:
Radius = ?
Solution:
To find the radius of the circle, let us use the expression;
Arc length = [tex]\frac{central angle}{360}[/tex] x 2πr
Insert the parameters and solve for r,
44 = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r
44 = 4.4r
r = 10ft
Write a quadratic equation with the following transformations.
1. Reflected over the x-axis
2. Moved down 6
Answers
Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?
Answers
Option A is correct, when putting 11 or -3 in for x the equation both result in 13, making it true.
the scale on the map is 5cm : 1 km.
Answers
Answer:
lol do you need help with anything
Step-by-step explanation:
What volume,in cubic inches,is equivalent to 15 cubic feet?
Answers
Answer: 1 feet = 12 inches
1 cubic feet = 12^3 = 1728 cubic inches
15 cubic feet = (15)(1728) = 25,920 cubic inches
Consider the following.
P = −0.1s3 + 6s2 + 400.
Required:
a. Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars).
b. Find the point of diminishing returns.
Answers
Answer:
A) s = $40 (in thousands of dollars)
B) point of diminishing returns is at;
(20, 2000) in thousands of dollars
Step-by-step explanation:
We are given the profit function as;
P = −0.1s³ + 6s² + 400
A) To maximize the profit, we need to find the first derivative and equate it to zero.
Thus;
dP/ds = -0.3s² + 12s
At dP/ds = 0, we have;
-0.3s² + 12s = 0
0.3s² = 12s
0.3s = 12
s = 12/0.3
s = $40 (in thousands of dollars)
B) To find the point of diminishing returns, we need to find the 2nd derivative of the given profit function and equate to zero.
Thus;
d²P/ds² = -0.6s + 12
At d²P/ds² = 0, we have;
-0.6s + 12 = 0
0.6s = 12
s = 12/0.6
s = 20
At s = 20,
P = −0.1(20)³ + 6(20)² + 400
P = -800 + 2400 + 400
P = 2000
Thus; point of diminishing returns is at;
(20, 2000) in thousands of dollars
Each step in a procedure to solve this equation is shown.
Equation: 5x−7=3(x+1)
Step 1: 5x−7=3x+3
Step 2: 2x−7=3
Step 3: 2x=−4
Step 4: x=−2
In which step is the first error made?
a. from the original equation to step 1
b. from step 1 to step 2
c. from step 2 to step 3
d. from step 3 to step 4
Answers
Answer:
from step 3 to step 4
Step-by-step explanation:
because 2x-7=3 is equal to 2x=3+7=10
not 2x=-4 so 3 is false so even four is incorrect
Select all the possible (x,y) coordinates for the following linear equation y=3x+2
Answers
Answer:
x = 2/3
Step-by-step explanation:
To find x-intercept/zero, subtract y = 0
0 = 3x + 2
Move variable to the left-hand side and change its sign
-3 = 2
Divide both ides of the equation by - 3
x = - 2/3
Solution
x = - 2/3
Alternate form
x = - 0.6
An article presents a study of the effect of the subbase thickness on the amount of surface deflection caused by aircraft landing on an airport runway. In six applications of a 160 kN load on a runway with a subbase thickness of 864 mm, the average surface deflection was 2.53 mm with a standard deviation of 0.090 mm. Find a 90% confidence interval for the mean deflection caused by a 160 kN load. Round the answers to three decimal places.
Answers
Answer:
The 90% confidence interval is [tex] 2.47<\mu < 2.59 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 6
The sample mean is [tex]\= x = 2.53 \ mm[/tex]
The standard deviation is [tex]\sigma = 0.090\ mm[/tex]
Given that the confidence level is 90% then the level of significance is
[tex]\alpha = (100 - 90)\%[/tex]
=> [tex]\alpha = 0.10 [/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Generally the margin of error is mathematically represented as
[tex]E =1.645 * \frac{0.090 }{\sqrt{6} }[/tex]
=> [tex]E = 0.060 [/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
[tex]2.53 -0.060 <\mu < 2.53 + 0.060[/tex]
=> [tex] 2.47<\mu < 2.59 [/tex]
For a polynomial P(x), the quotient P(x)/(x-2) has a remainder of 12. What is the value of P(2)? Please explain. Thanks :)
Answers
Answer:
12
Step-by-step explanation:
P(x) has infinitely many solutions, but I am going to find the easiest one, which would be a linear equation.
First, notice that x-2 perfectly divides into itself.
Then, if you add 12 to x-2, you will end up with a remainder of 12. Therefore, P(x) would be x-2+12 = x+10.
Now that we know P(x), we can directly plugin 2 to find out P(2):
2+10 = 12
Therefore, P(2) = 12.
Kane is training for a marathon. He starts by running 3 miles during every training session.
Each week plans to increase the distance of his run by mile.
1/4
Let w be the number of weeks. Write an expression to show the distance Kane
runs in a training session after w weeks.
Answers
Answer:
1/4w + 3 the answer has to be 20 characters long so ignore this
Answer:
Step-by-step explanation:
Given
Required
Determine the distance for w weeks
This will be calculated using the following Arithmetic progression formula
Where
Substitute these values
Open Bracket
Collect Like Terms
Take LCM
convert 2 3/7 to an improper fraction
Answers
Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...
Step-by-step explanation:
each friend received 5/4 of a pound of berries, how many friends are sharing berries?
Answers
Answer:
2
Step-by-step explanation:
If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.
Which sentence can represent the inequality
Answers
Please help me and answer ASAP !! I’ll mark brainliest.
Answers
Answer:
7 miles! hope this helps. :)
Step-by-step explanation:
Answer:
The answer is 69
Step-by-step explanation:
Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###
Answers
Answer:
x=11/2
Step-by-step explanation:
4+5x‒7=10+3x‒2
5x‒3=8+3x
5x‒3x=8+3
2x=11
2x/2=11/2
x=11/2
Answer:
x=11/2
Step-by-step explanation:
Melanie buys 2 shells for $0.80. Rosi buys 3 shells for $1.20. Carlos buys 4 shells for $1.60. Use the graph to determine whether there is a proportional relationship between the number of shells and their cost. If so, what does the constant of proportionality mean in this situation? Use the drop-down menus to show and explain your answer.
Answers
Answer:
There's a proportion relationship between number of shell and their cost
Step-by-step explanation:
The graph is not given.
However, I've added the appropriate graph as an attachment.
From this, point....
I'll show that the cost and number of shells as given in the question are proportional.
Represent cost with y and number of shells with x
x = 2 when y = 0.8
x = 3 when y = 1.2
x = 4 when y = 1.6
Divide each value of y by x to get the constant of proportion (r).
r = y/x
r = 0.8/2 = 0.4
r = 1.2/3 = 0.4
r = 1.6/4 = 0.4
Notice that the values of r remain constant.
Hence, there's a proportion relationship between both
And what this rate represent is that:.the cost of shell changes at a constant rate when the number of shell is changes.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
Given :
Melanie buys 2 shells for $0.80.Rosi buys 3 shells for $1.20.Carlos buys 4 shells for $1.60.The following steps can be used to determine there is a proportional relationship or not between the number of shells and their cost:
Step 1 - First determine the value of x and y from the given data.
Points - (2,0.8), (3,1.2), and (4,1.6)
Step 2 - Now, divide y by x in order to determine the proportionality constant.
[tex]r = \dfrac{0.8}{2} = 0.4[/tex]
[tex]r'=\dfrac{1.2}{3}=0.4[/tex]
[tex]r" =\dfrac{1.6}{4}=0.4[/tex]
Step 3 - Observe that the values of r, r', and r" are the same. Therefore, there is a proportional relation between them.
The proportionality constant is same means that the cost of shell changes at a constant rate when the number of shells changes.
For more information, refer to the link given below:
https://brainly.com/question/21328304
Evaluate the expression when x=5, y=-3, and z= -2.
y+z
Answers
Answer:
-5
Step-by-step explanation:
-3+-2=-5
this is the answer
Which expression is equivalent to - 3/4 divided (-8/12)
Answers
Answer:
3/4
Step-by-step explanation:
There are no answer choices so I just solved the equation
-3/4 divided by -8/12
Flip -8/12 to -12/8
Multiply -3/4 by -12/8
24/32
Simplify.
12/16
Simplify some more.
6/8
Simplify even more.
3/4
Hope I helped :)
Please consider Brainliest
5/6 subtract (1/8 divided by 3/4) in a fraction form
Answers
Answer: 5 [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
First, you need to know the orders of opperation. You must solve in this order.
ORDERS OF OPPERATION:
1. Grouping Symbols: ( [ ] )
2. Exponents: [tex]3^{2}[/tex]
3. Multiplication/Division
4. Addition/Subtraction
Now that we know the orders of opperation, let's get started!
1. 3/4 ÷ 1/8 = 6
2. 5/6 - 6 = 5 16/100
3. Simplify.
4. 5 16/100 = 5 4/25
= 5 [tex]\frac{4}{25}[/tex]
Please forgive me if I am wrong. I sure hope this answer helped. :)
The solution of the given expression will be 2/3.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 5/6 subtract (1/8 divided by 3/4). The expression can be solved mathematically as below,
E = 5/6 - [ 1/8 ÷ 3/4 ]
E = 5/6 - [ 4 / ( 8 x 3 ) ]
E = 5/6 - 1/6
E = 4/6
E = 2/3
To know more about an expression follow
brainly.com/question/18884332
#SPJ2
The coordinates of point T are (0,6). The midpoint of ST is (4.-6). Find the coordinates
point S.
Answers
Answer:
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
Step-by-step explanation:
Let [tex]T(x, y) = (0, 6)[/tex] and [tex]M(x,y) = (4,-6)[/tex], which is the midpoint of line segment ST. From Linear Algebra we get that midpoint is the following vector sum of endpoints S and T. That is:
[tex]M(x,y) = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot T(x,y)[/tex] (Eq. 1)
Now clear S in the previous expression:
[tex]S(x,y) = 2\cdot M(x,y) - T(x,y)[/tex] (Eq. 1b)
Then, the coordinates of point S are:
[tex]S(x,y) = 2\cdot (4,-6) - (0,6)[/tex]
[tex]S(x,y) = (8, -18)[/tex]
The coordinates of endpoint S are [tex]S(x,y) = (8,-18)[/tex].
If i read a book for 25mins and it took me 1/23 longer to read how long did it take me to read the second book
Answers
25×1/23=1.08695652174.
25+1.08695652174=26.08695652174
Which equation represents the situation below?
John owed the bank 7 dollars, but he made 12 dollars.
Answers
Answer:
12-7=5
Step-by-step explanation: if you u need a equation for how much he has there u go
The average customer for a certain utility company pays $120 per month for utilities. The company plans to decrease utility bills by 3% each year for the next five years. Which of the following can be used to determine the total amount an average customer will pay for utilities during the next five years? an arithmetic series a geometric series a series that is neither arithmetic nor geometric a series that is both arithmetic and geometric
an arithmetic series
a geometric series
a series that is neither arithmetic nor geometric
a series that is both arithmetic and geometric
Answers
Answer:
a geometric series
Step-by-step explanation:
Regina's teacher recently gave her a homework assignment on solving equations. Since she has been ti
she decided to use the assignment as an opportunity to model a savings plan.
She created this equation to model the situation. In it, y represents the total amount saved for the new
she has now, 40 is the amount of money she saves each month for the phone, and x represents the num
a regular amount:
74 + 40x=y.
She then solved the equation to determine how many months she'd need to save to have enough to pur
work, and select the error.
Justification
1: given
2: subtraction property of equality
3: simplification
4: multiplication property of equality
5: simplification
6: substitution, y = 834
7: simplification
Step 1:
Step 2:
Step 3:
Step 4:
74 + 40x=y
74 + 40x - 74 = y- 74
40x = y-74
40.5 y - 74
40 =
40
y - 74
X= 40
834 - 74
X = 40
Step 5:
Step 6:
Answers
Answe
Step-by-step explanation:
need brainest pls
guys I need followers
Answers
Answer:
Followers You need
Answer:
ok
Step-by-step explanation:
Please help I don’t know what to do and I have a whole test on it
Answers
Answer:
a
Step-by-step explanation:
<dfh=<ehgfh=hg<dhf=<hgf25x 10 ^ 6 in standard form
Answers
25x10⁶ = 2.5x10⁷=25000000
#Learn more
-34/51 in standard form
brainly.in/question/12244412
if angle two equals 130 find the measure of angle 6 in the answer is not 130 or 50 wilmart brainiest
Answers
Answer:
∠6 = 130°Step-by-step explanation:
the answer is 130.. because its a corresponding angles
that means corresponding angles are equal
∠2 = ∠6 = 130°