Please Help These Are All My Points.
A scientist started with a culture of 10 bacteria in a dish. The number of bacteria at the end of each successive minute increased exponentially, so that the number at the end of one hour was 500. How many hours (to the nearest hour) from the start of the experiment passed before there were 1,000,000 bacteria?
Answer: 3 hours
Step-by-step explanation: Exponential growth is a model showing a specific quantity increasing over time.
The formula for it is [tex]y(t)=A_{0}e^{kt}[/tex]
in which
y(t) is the quantity after time t
A₀ is initial value
k is rate of growth
t is time
To determine how much time has passed, first find the rate of growth and knowing that 1 hour has 60 minutes:
[tex]500=10e^{60k}[/tex]
[tex]e^{60k}=50[/tex]
[tex]60k=ln(50)[/tex]
k = 0.065
With the rate, determine the time
[tex]10^{6}=10e^{0.065t}[/tex]
[tex]e^{0.065}=10^{5}[/tex]
[tex]0.065t=5ln(10)[/tex]
t = 177.12 minutes
The amount of hours passed is
[tex]t=\frac{177.123}{60}[/tex]
t = 3
From the start of the experiment, it has passed 3 hours before there were 1,000,000 bacterias.
please help me asap
Answer:
Not sure what number sense is, but 3 is the answer.
Step-by-step explanation:
Answer:
the answer would be 3.
Step-by-step explanation:
5 times 3 is 15 plus 40 is 55. Hope this helps!!! Please let me know if i'm right!!!
Choose the equation that represents the asymptote of the graph f(x) = 2^x +3.
y = 0
y = 3
x = 0
x = 3
Answer:
x = 0Step-by-step explanation:
The horizontal asymptote occurs at x = 0, Hence the equation that represents the asymptote of the graph is at x = 0
f(x) = 2^x +3.
0 = 2^x +3.
2^x +3. = 0
2^x = -3
log 2^ x = log(-3)
x log2 = log(-3)
x = log(-3)/log 2
Hence the required function is when x = 0
Guys I need some help
What expression is equivalent to 12y + (7y)(3)
Answer:
I got 33y
Step-by-step explanation:
hi if its right but here
Answer:
57y
Step-by-step explanation:
Need help Pronto! Will give braintliest.
Answer:
b
Step-by-step explanation:
What is the y-intercept of the graph of -6x -2y =9???
9514 1404 393
Answer:
-4.5
Step-by-step explanation:
The y-intercept can be found by setting x=0 and solving for y.
-2y = 9
y = -9/2 = -4.5 . . . the y-intercept
__
As an ordered pair, this is (0, -4.5).
Which relation below represents a one-to-one function? A 2-column table has 5 rows. The first column is labeled x with entries 5, 14, 7, 13, 12. The second column is labeled f (x) with entries 26, 197, 50, 170, 197. A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f (x) with entries 5, 2, 1, 2, 5. A 2-column table has 5 rows. The first column is labeled x with entries 7.25, 7.5, 7.75, 8, 8.5. The second column is labeled f (x) with entries 11, 13, 15, 13, 11. A 2-column table has 5 rows. The first column is labeled x with entries 9, 2, 4, 1, 5. The second column is labeled f (x) with entries 12, 7, 9, 13, 5.
Answer:
D is the correct answer actually
Step-by-step explanation:
just took the unit review
Answer:
d
Step-by-step explanation:
image to help also needed asap :/
Answer:
Its c/2
Step-by-step explanation:
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PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
Ron drew a scale drawing of a neighborhood park. The scale he used was 1 centimeter: 2 meters. The actual width of the volleyball court is 8 meters. How wide is the volleyball court in the drawing?
Answer
16 wide
Step-by-step explanation:
because i do 8 x 2
Answer: 4 cm will equal the width of the volleyball court on the scale drawing
Step-by-step explanation:
1cm = 2m
8m/2m =4 cm
Please help me solve this question will give you braisnlt !
Answer:
t = 54m + 160
Step-by-step explanation:
Input = m
Output = t
Equation of the function in slope-intercept form, is represented as t = km + b
Where,
k = slope/rate of change
b = y-intercept
Using two pairs, say, (2, 268) and (3, 322):
[tex] slope(j) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{322 - 268}{3 - 2} = \frac{54}{1} = 54 [/tex]
k = 54
Find b, by substituting m = 2, t = 268, and k = 54 into t = km + b.
Thus:
268 = (54)(2) + b
268 = 108 + b
268 - 108 = b (subtraction property of equality)
160 = b
b = 160
To find the equation of the function, substitute k = 54, and b = 160 into t = km + b.
Thus:
t = 54m + 160
Identify the common difference of the sequence: –8, –1, 6, 13
Using arithmetic sequence concepts, it is found that the common difference of the sequence is of -7.
Arithmetic sequence:In an arithmetic sequence, the difference between consecutive terms is always the same, and it is called common difference.
In this problem, the sequence is: {-8, -1, 6, 13}
The difference between consecutive terms is:
[tex]13 - 6 = 6 - (-1) = -1 - (-8) = 7[/tex]
Hence, the common difference of the sequence is of -7.
You can learn more about arithmetic sequence at https://brainly.com/question/6561461
A model of a telescope has a height of 15 inches and and a diameter of 3.5 inches. If the actual diameter is 10 inches, find its actual height.
Answer:
The actual height of telescope is 42.85 inches
Step-by-step explanation:
Given that:
Height of model of telescope = 15 inches
Diameter of model of telescope = 3.5 inches
Actual diameter of telescope = 10 inches
Actual height of telescope = x
Ratio of model's diameter to height :: Ratio of actual diameter to height
3.5 : 15 :: 10 : x
Product of extreme = Product of mean
3.5*x = 10*15
3.5x=150
Dividing both sides by 3.5
[tex]\frac{3.5x}{3.5}=\frac{150}{3.5}\\x=42.85[/tex]
Hence,
The actual height of telescope is 42.85 inches
Which of the following uses properties of operations to help find 34 x 12?
(30 + 4) X (10 + 2)
30 x 4 x 10 x 2
30 + 4 + 10 + 2
34 + 12
Answer:
the first one is your answer
Step-by-step explanation:
NEED HELP DUE TODAY!!!
Answer:
50 minutes
Step-by-step explanation:
x=9
(5x9+5)+9+13=72
50+9+13=72
59+13=72
5x9=45
45+5=50
plz help me this is a final!!!
Answer: (a) 10 (b) 1. 10 2. -10 (c) 1. 10 2. 10
Step-by-step explanation:
How many distinct rearrangements of the letters in "sleepless" are there?
Answer:
[tex]N = 5040[/tex]
Step-by-step explanation:
Required
Arrange the letters of "sleepless"
First, we count the number (n) of characters
[tex]n = 9[/tex]
First, we count the number (n) of repeated characters
[tex]s = 3[/tex]
[tex]e = 3[/tex]
[tex]l = 2[/tex]
The arrangement (N) is then calculated as follows;
[tex]N = \frac{n!}{s!e!l!}[/tex]
This gives:
[tex]N = \frac{9!}{3!3!2!}[/tex]
[tex]N = \frac{9*8*7*6*5*4*3*2*1}{3*2*1*3*2*1*2*1}[/tex]
[tex]N = \frac{362880}{72}[/tex]
[tex]N = 5040[/tex]
Hence, there are 5040 distinct arrangements
2. Sandra plans to swim a total of 2 2/3 miles every week for 2 1/5
weeks. How many miles is Sandra planning on swimming?
Answer:
5 13/15 miles
Step-by-step explanation:
The meaning of significance. Asked to explain the meaning of "statistically significant at the α=0.05 level," a student says: "This means that the probability that the null hypothesis is true is less than 0.05." Is this explanation correct? Why or why not?
Answer:
This explanation is not correct
Explanation:
Significance level is the probability that the null hypothesis rejected is in fact true. If we say there is a significance level of 0.10 or 10%(α=0.10 level) then there is a 10% chance of incorrectly rejecting the null hypothesis when there is actually no difference.
If we wish to reach a conclusion on rejection or acceptance of the null hypothesis, we could use the p value(the probability that observed results or more extremee results are true given null hypothesis)which we compare with the significance level to conclude. If the significance level is 0.10 and p value is 0.07(since p value is less than significance level) , we reject the null hypothesis and vice versa.
The significant level, α = 0.05 level specifies a probability of the correctness of the null hypothesis.
The student is correct in the statement "This means that the probability that the null hypothesis is true is less than 0.05"
Reasons:
The significant level specifies the the likelihood of rejecting a true null
hypothesis, such that a 5% significance level indicates that the risk of
drawing a conclusion that there is a difference in a sample, when the
samples are similar is 5%, and therefore, the probability that null
hypothesis is true is 5% or 0.05.
The level of significance is a specification that indicates the amount of
evidence required within a sample to allow the rejection of the null
hypothesis, and reach a conclusion that the observed effect is statistical
significant at the α = 0.05 level.
Therefore;
The statement by the student that "This means that the probability that the null hypothesis is true is less than 0.05" is correct.
Learn more about hypothesis testing here:
https://brainly.com/question/13122036
marry christmas even tho are parents lied to us and hes not real
Answer:
Merry christmas, and he is real
Step-by-step explanation:
Answer:
oop lol MERRY CHRISTMAS!!!! Also cute picture :)
HAPPY HOLIDAYS!
Send virtural hugs*
16) The expression 100 + 5n can be used to find the total price for students to take a field trip to the
science museum. If n represents the number of students, determine the cost for 120 students(n) to
Visit the science museum.
A. $225
B.$105
C. $600
D. $700
Help which is the right one?
A) SSS
B) ASA
C) SAS
D) SSA
Now I need thissss pls
Write the ratio as a fraction in lowest term: 15 to 36
Answer:
5/12
Step-by-step explanation:
15 to 36 can also be written as 15/36.
Divide by common values to simplify.
15÷3/36÷3
5/12
Best of Luck!
A horse gallops 16 miles in 2 hours. How many hours would it take the horse to gallop 40 miles?
Answer: 5 Hours
Step-by-step explanation: Divide 2 by 16 to get how many hours it takes to run 1 mile. Then multiply that number by 40 to get how many hours it would take run 40 miles.
Answer: 6 hours
Step-by-step explanation: if 16×3=48 and 2×3=6 it would take approximately 6 hours
Consider the system of linear equations below.
3x + y = -4
--5x + y = 8
Graph on a graph paper and
Describe the graph
A) they are parallel
B) the concide
C) they intersect
y=5x-1
2x+y=13 how to solve
Answer:
x = 2, y = 9 or (2,9)
Step-by-step explanation:
Hello!
The first equation "y = 5x - 1" is telling us that y is equal to 5x - 1
We can plug in the first equation into the second like this:
2x + y = 13 (we know y so we can plug it in)
2x + (5x - 1) = 13
2x + 5x - 1 = 13
7x - 1 = 13
Now we add 1 to both sides
7x - 1 + 1 = 13 + 1
7x = 14
x = 2
Now we plug in x to find y:
y = 5x - 1
y = 5(2) - 1
y = 10 - 1
y = 9
Are the equation linear or nonlinear?
Answer:
Results below
Step-by-step explanation:
Equation of the line
A straight line can be written in the form:
y = ax + b
Where a and b are constants and x is the independent variable.
The essential condition for an equation to be linear is that the x must be powered to the exponent 1, which is usually not written.
From the equations presented in the table:
[tex]y = x^1+2[/tex] is linear because the exponent of the x is 1
y = 5(x+2) = 5x + 10 is linear with a=5 and b=10.
y = x is linear with a=1 and b=0
[tex]y = x^2+1[/tex] is not linear because the exponent of x is 2
[tex]y = x(x) = x^2[/tex] is not linear because the exponent of x is 2
The table below summarizes the results
Hurry plzzzz!! It’s for a test and I’m stuck
Answer:
im pretty sure it is 2m + 10
bc the min is going up by 2 every time and the gallons are going up by 10 each time
Step-by-step explanation
i commented b4 i actually answered it bc it wouldnt let me sry