Answer:90
Step-by-step explanation:
A culture started with 5000 bacteria after three hours it grew 6500 bacteria predict how many bacteria will be present after 13 hours round your answer to the nearest whole number
Answer:
15595 bacteria will be present after 13 hours.
Step-by-step explanation:
Continuous population growth:
The continuous population growth model, for the population after t hours, is given by:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate.
Started with 5000 bacteria
This means that [tex]P(0) = 5000[/tex]
So
[tex]P(t) = 5000e^{rt}[/tex]
After three hours it grew 6500 bacteria:
This means that [tex]P(3) = 6500[/tex]. We use this to find r.
[tex]P(t) = 5000e^{rt}[/tex]
[tex]6500 = 5000e^{3r}[/tex]
[tex]e^{3r} = \frac{65}{50}[/tex]
[tex]\ln{e^{3r}} = \ln{\frac{65}{50}}[/tex]
[tex]3r = \ln{\frac{65}{50}}[/tex]
[tex]r = \frac{\ln{\frac{65}{50}}}{3}[/tex]
[tex]r = 0.0875[/tex]
So
[tex]P(t) = 5000e^{0.0875t}[/tex]
How many bacteria will be present after 13 hours?
This is P(13). So
[tex]P(13) = 5000e^{0.0875*13} = 15594.8[/tex]
Rounding to the nearest whole number
15595 bacteria will be present after 13 hours.
Find the value of x. Round to the
nearest tenth.
35
12
х
X
?
9514 1404 393
Answer:
6.9
Step-by-step explanation:
The relevant relation is ...
Sin = Opposite/Hypotenuse
Substituting given values, we have ...
sin(35°) = x/12
x = 12·sin(35°) ≈ 6.883
The value of x is about 6.9.
The following data points represent the number of red candy pieces in each of Nate's bags of candy.
4, 7, 11, 11,2,5,8
Using the data, create a histogram
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data:
4, 7, 11, 11,2,5,8
To create an histogram of the data, we could use the online histogram maker ;
4
7
11
11
2
5
8
Can somebody explain Scatter Plots and Equations of Lines for me. I'm not quite understanding it
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.
Equation Of Line means A straight line on the coordinate plane can be described by the equation. y = mx+b. where m is the slope of the line and b is the intercept.
5 square root of 18 -2 square root of 50 divided by square root of 50
Answer:
19.21 is the answer
Helpp plzz will mark brainleast
Answer:
median is the middle value so i think its 54
Bob took out a 5 year loan for $4000 and paid 3% annual simple interest
Bill took out a 4 year loan for $4000 and paid 5% annual simple interest
What is the sum of amounts of interest bob and bill paid for their loans
Answer:
Sum = $1400
Step-by-step explanation:
Given the following data;
I. For Bob;
Principal, P = $4000
Interest rate, R = 3%
Time, T = 5years
To find the simple interest, we would use the following formula;
S.I = PRT/100
Substituting into the formula, we have;
S.I = 4000*3*5/100
S.I = 40 * 15
S.I = $600
II. For Bill;
Principal = $4000
Interest rate = 5%
Time = 4years
To find the simple interest;
S.I = PRT/100
S.I = 4000*5*4/100
S.I = 40 * 20
S.I = $800
III. Sum of amounts of interest for both;
Sum = 600 + 800
Sum = $1400
Therefore, the sum of amounts of interest bob and bill paid for their loans is $1400.
Which day had the greatest increase in gas price? I’ll mark brainliest
Find the diameter d of the circle in the figure at the right. Round to the nearest tenth if necessary.
( 27 − 9 ) × 3 ÷ 9 + 18 = 42 .
Answer:
24=42
Step-by-step explanation:
Use PEMDAS!
Answer: 24 = 42
Step-by-step explanation:
PEMDAS / order of operations.
rolling a 1 and
the coin landing
on tails
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation：
Rolling a 1 is [tex]\frac{1}{6}[/tex]
Flipping tails is [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]
Look at the square pyramid shown below. Which of the equation best represents volume of this pyramid terms of H?
F. V = 2h cubic units
G. V = 36h cubic units
H. V = 18h cubic units
J. V = 12h cubic units
Answer:
J. V = 12h cubic units
Step-by-step explanation:
Volume if a square pyramid = ⅓*a²*h
Where,
h = height = ?
a = edge = 6 in.
Plug in the values
Volume = ⅓*6²*h
V = ⅓*36*h
V = 12*h
V = 12h cubic units
The area of sector AOB is
9/4pi and MZAOB = 40°. Find the
radius of circle O.
Radius:
Answer:
i ma rhhy
Step-by-step explanation:
i am right
Which expression is equivalent to
Answer:
Step-by-step explanation:
A
Rationalize the denominator and simplify 2√x-3 √y / √x+ √y
2√x−3√xyx+√y is your answer.
if I have a 8 inch by 10 inch poster what is the area
Answer:
80 inches
Step-by-step explanation:
8x10=80
because, lxw
l= length
w= width
Answer:
80
Step-by-step explanation:
im not trying to copy the answer above, im just going to say why its 80
so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units
we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area
8 * 10 = 80
(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)
hope this helps with this and other problems, credits to the answer above for doing the initial work :)
Need help with this
With the spinner shown, the theoretical probability of landing on 2 is 0.25. Which number of
spins would most likely result in a relative frequency that is closest to the theoretical
probability? SP7. HELP! Due in 45 min
0.
9.
The ratio of students to adults on a field trip is 8
to 1. Whish table,correctly shows this ratio for
each grade?
A.
Grade
Number of
Students
96
Number
of Adults
88
6
7
120
112
8
136
128
B.
Grade
Number of
Students
96
Number
of Adults
104
6
7
120
128
8
136
144
C.
Grade
Number of
Students
96
Number
of Adults
12
6
7
120
15
8
136
17
D.
Grade
Number of
Students
Number
of Adults
11
6
96
7
120
13
8
136
15
Answer:
C
Step-by-step explanation:
the answer is C
12*8=96
15*8=120
17*8=136
The logo on a shirt is in the shape of a parallelogram. What is the area of the parallelogram? Round to the nearest tenth.
Answer:
90
Step-by-step explanation:
Need a hand with this, please
2. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you found when solving. Round to the nearest tenth. 2x secondpower - 9 = 121
Answer:
x=√65 and x=-√65
Step-by-step explanation:
Givn the expression 2x^2 - 9 = 121
Add 9 to both sides
2x^2 - 9 + 9 = 121 + 9
2x^2 = 130
Divide both sides b 2
2x^2/2 = 130/2
x^2 = 65
x = ±√65
x=√65 and x=-√65
This graph represents the demand for health supplements in Oklahoma. Match each section of the function to the description of how the y-value changes as the x-value increases. increases quickly increases slowly decreases slowly decreases quickly A arrowRight B arrowRight C arrowRight D arrowRight
The appropriate description of the graph is as follows
1. The demand for health supplements in Oklahoma A: increases slowly.
2. The demand for health supplements in Oklahoma B: Decreases quickly.
3. The demand for health supplements in Oklahoma for C: Increases quickly.
4. The demand for health supplements in Oklahoma for D: decreases slowly.
How to interpret lines on a graph?To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.
In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.
The above answer is for the graph below that has been attached.
Find more exercises that includes graphs;
https://brainly.com/question/16608196
#SPJ1
Please find the VOLUME . Will mark the brainliest be geniune no links
Answer:
Pyramid formula: V= LWH/3
224
Step-by-step explanation:
Answer:
336
Step-by-step explanation:
The figure shown is a triangular prism
The volume of a triangular prism can be calculated by using this formula
[tex]V=ah[/tex]
where a = area of base and h = height
we are already given the height ( 8 ft ) so all we need to find is the area of the base
Because this is triangular prism the base will be a triangle
The area of a triangle can be calculated using this formula
[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height
The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft
That being said we plug in the values into the formula
[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]
So we can conclude that the area of the base is 42 ft²
Now to find the volume
Using the formula V = ah
* plug in the values *
V = 42 * 8
42 * 8 = 336
Therefore the volume of the triangular prism is 336ft³
what is the inverse function of y equals 3x + 1what is the inverse function of Y=3x+1
Answer:
[tex]y=\frac{x-1}{3}[/tex]
Step-by-step explanation:
[tex]x=3y+1[/tex]
Subtract 1,
[tex]3y=x-1[/tex]
Divide each side by 3,
[tex]y=\frac{x-1}{3}[/tex]
Taylor cuts 1/3 sheet of constitution paper for arts and crafts project. Enter 1/3 as an equivalent fraction with the demontinators shown.
What is the probability of selecting two aces from a deck of cards? (with replacement)
(there are 4 aces in a deck of 52 cards)
5 shirts for $30.00
Rate: What go's here Unit Rate: What go's here?
Pls help!
Step-by-step explanation:
that each shirt is 6 dollars
I don’t know how to do this . I need help
de que numero 92 es el 15% mas?