After a certain time of n hours, the number of bacteria inside the lab will be, 300 ( 1 + 1/5n ) ^ n.
This is a problem with compound interest calculation. Here we have to calculate the number of bacteria present at the center of disease control and prevention after a certain time of n hours.
We can solve this using a few steps.
Let's assume that,
The time interval is n hoursThe growth rate is 20%.The period is 1 hour.So, the number of times this rate is applied is n/1 = n times.The principal number is 300 bacteriaAs we all know the formula for compound interest is,
A = P (1 + r/n) ^ nt
Where,
A = final amount
P = initial principal number = 300 bacteria
r = growth rate = 20% = 20/100
n = number of times growth applied per period
t = number of periods elapsed = 1 hour
So,
A = 300 ( 1 + 20/ 100n ) ^ n = 300 ( 1 + 1/5n ) ^ n
Hence we can conclude that after n hours the number of bacteria inside the lab will be, 300 ( 1 + 1/5n ) ^ n.
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Correct question :
A researcher at the center for disease control and prevention is studying the growth of a certain bacteria he starts his experiment with 300 bacteria that grow at a rate of 20% per hour. After n hours, what will be the number?
PLEASE HELP ME I was sick today and missed out on class and I don’t understand this question
Answer:
Step-by-step explanation:
Transversal or Corresponding angles
x=5
Answer:
a: alternate angle
Step-by-step explanation:
alternative relation
5x-4=-3x+12
What is the answer
The answer is x = 2
I have attached a picture with the work
If EGF & EGH, EF = 6a, and EH = a + 55, what is the value of a?
Answer:
a=11
Step-by-step explanation:
If both triangles have two sides E and G the same then thethird side F and H must be equal
EF=EH
6a=55+a
5a=55
a=11
What the area of the sphere if it's volume is 3x +1 cm³
Answer:
[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{v = \frac{4}{3} \pi {r}^{3} }} \\ \\ { \tt{area = \frac{dv}{dr} = 4\pi {r}^{2} }} \\ \\ { \tt{area = \frac{d(3x + 1)}{dx} }} \\ \\ { \tt{area = 3 \: {cm}^{2} }}[/tex]
PLEASE HELP ME SOLVE THIS PROBLEM
Answer
Explanation
We can approximate the distribution to the normal distribution.
As we know the mean of the sample and standard deviation of the population
Each Saturday 8 workers mow the park
lawn. When all 8 workers are there, it takes
them 6 hours to complete the job. Last
Saturday three of the workers had the flu.
How many hours did it take the remaining workers
to complete the job?
A. 9 and %
B. 2 and 14
C. 12 and 18
D. 6 and 2
The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,6
10 and credited Bad Debt Expense for the same amount.
The thing that is wrong with the bookkeeper’s entry assuming Karlin uses the allowance method is that the company uses allowance method and thus the write-off entry would not be to bad debt account.
How yo illustrate the information?
It should be noted that because the business is using the allowance approach in this instance, the write-off entry would not be to the account for bad debts. To write off an account, a debit must be made to a separate account that is kept as an allowance for dubious accounts.
Since the receivables would not be collected, the accounts receivable account would be credited. In this case,the write off isn't appropriately illustrated in the account.
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The new bookkeeper at Karlin Construction Company was asked to write off two accounts totaling $1,610 that had been determined to be uncollectible. Accordingly, he debited Accounts Receivable for $1,610 and credited Bad Debt Expense for the same amount.
Determine what was wrong with the bookkeeper’s entry assuming Karlin uses the allowance method.
Hello! I need a little bit of help with this question please! (This is not from an active test, it is from a book I am using to study for my ASVAB.)
We have that the following two points lie on the line:
• (-2, 0) and (4, 6)
And we need to find the equation of the line that passes through both points.
To find the equation of the line, we can proceed as follows:
1. Apply the two-point equation of the line, which is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]2. We have to label both points as follows:
• (-2, 0) ---> x1 = -2, y1 = 0
• (4, 6) ---> x2 = 4, y2 = 6
3. Now, we can substitute the corresponding points into the two-point equation of the line:
[tex]\begin{gathered} y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1}) \\ \\ y-0=\frac{6-0}{4-(-2)}(x-(-2)) \\ \\ y=\frac{6}{4+2}(x+2) \\ \\ y=\frac{6}{6}(x+2) \\ \\ y=x+2 \end{gathered}[/tex]Therefore, we have that the slope of the line is m = 1, and the equation of the line is y = x + 2.
Therefore, in summary, the equation of the line is y = x + 2 (Option D).
Volunteers are preparing identical backpacks for refugees. There are 32 maps and 24 dictionaries to use for the backpacks. What is the greatest number of backpacks they can prepare using all of the maps and dictionaries?
Considering the definition of greatest common divisor, the greatest number of backpacks volunteers can prepare using all of the maps and dictionaries is 8.
Definition of greatest common divisorConsidering that a divisor can be formally defined as that number that is contained in another exactly n times, the greatest common divisor is the largest number by which two or more numbers can be divided. That is, the greatest common factor is the highest number by which a set of numbers can be divided, resulting in a whole number.
To calculate the greatest common factor, the following steps must be followed:
Decompose each number into prime factors. [The prime factors of an integer are the exact divisors of that integer, that is, they have only two divisors: one and themselves]Then point out the common factors.In each of the common factors, choose the factor with the smallest exponent.Multiply the chosen factors.Greatest number of backpacks preparedIn this case, you must calculate the greatest common factor as follows:
Decomposition of 32: 2⁵Decomposition of 24: 2³×32 is the factor common to both numbers, with 3 being the smallest exponent found. Then the greatest common divisor is calculated as:
Greatest common divisor= 2³
Greatest common divisor= 8
This means that they can prepare 8 backpacks.
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I'm trying to find out if {(6,0), (-9,5), (1,-5), (0,0)} is a function or not
A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
In this case, it would be a function
the value of a share of stock on the stock market decreased by 15%. If it used to be worth $55.55, what is it worth now? Round to the nearest hundredth.
The worth of the share after a 15% fall will be $47.21.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the value of a share of stock on the stock market decreased by 15%. If it used to be worth $55.55.
The value of the share after 15% fall will be calculated as:-
Decreased amount = 55.55 - ( 55.55 x ( 15 / 100)
Decreased amount = $47.21
Therefore, the worth of the share after a 15% fall will be $47.21.
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Which property of multiplication is (ab)c = a(bc)
Answer: The Associative Property
Step-by-step explanation:
Example:
[tex]a * (b * c) = (a * b) *c[/tex]
[tex]2 *(4 * 5) = (2 * 4) * 5[/tex]
The difference of the ages of a father and his son is 25 years.Fifteen years ago.the father was six times of his son's age. Find their present ages.
Present age of father is 48 years and that of son is 23 years.
Let the age of father be x years
And the son's age be y years
According to the question,
x - y = 25 -----------1
15 Years ago, x= 6( y - 15 )
x= 6y - 90 -------------2
Substituting value of x from equation 2 in equation 1, we get
6y - 90 - y = 25
5y -90 = 25
5y = 25+90
5y= 115
y= 23
Therefore son's age is 23 years and from equation 1 we get x= 25+y = 25+23 = 48 years. So father's age is 48 years.
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HURRY
TIME REMAINING
57:30
What are the solutions to –24x – 24 = x3 + 8x2?
Negative 1, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
1, 3 + i StartRoot 3 EndRoot, 3 minus i StartRoot 3 EndRoot.
2, 3 + i StartRoot 3 EndRoot, 3 minus i StartRoot 3 EndRoot.
Negative 2, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
Answer:
Negative 2, negative 3 + i StartRoot 3 EndRoot, negative 3 minus i StartRoot 3 EndRoot.
Step-by-step explanation:
So basically that whole last section you had your answer should look like this:
Each question on a multiple choice exam has four choices. One of the choices is the correct answer, worth five points another choice is wrong but still carries partial credit of 1 point and other two choices are worth 0 points. If the student picks answers at random, what is the expected value of his or her score for a problem?
If a student picks randomly then the expected value of his or her score for a problem is 1.5.
Each question on a multiple-choice exam has four choices.
One of the choices is correct, worth four points.
Another choice is wrong but carries partial credit for one point.
The other two choices are wrong and worth a negative one point.
Each has a probability of getting selected is 0.25.
[tex]0.25*5+0.25*1+0.25*0+0.25*0[/tex]
[tex]1.25+0.25[/tex]
[tex]1.5[/tex]
What is the expected value?
The expected value denotes potential. The occurrence of a random event is the subject. Its fundamental notion is that something is probable to occur.
Actually, the anticipated value may be viewed as the mean of a random variable. This indicates that the anticipated value is the average of all the values acquired if a probability experiment were repeated again while keeping track of the outcomes. The anticipated value of a game of chance is what you should expect to occur over the long run of several trials.
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Use the table to answer the question. 2 6 10 12 10 30 50 60 Simplify each ratio in the table to prove that all the ratios are equivalent. (2 points) 210= , 630= , 1050= , 1260=
The expression given relating to the take all have an equivalent ratio of 1:5.
How to express the ratio?It should be noted that ratio is simply used to show the comparison between two or or more things.
In this case, in the table, the ratio given will be illustrated as:
2/10 = 1/5 = 1:5
6/30 = 1/5 = 1:5
10/50 = 1/5 = 1:5
12/60 = 1/5 = 1:5
In this case, it should be noted that for every number that was illustrated, we have an equivalent value of 1:5. Therefore, this explains that it's an equivalent ratio.
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Solve for all values of x:
√8x + 1 = √2x + 5
Step-by-step explanation:
[tex] \sqrt{8} x - \sqrt{2} x = 4[/tex]
[tex]x( \sqrt{8} - \sqrt{2} ) = 4[/tex]
[tex]x = \frac{4}{ \sqrt{8} - \sqrt{2} } [/tex]
the second term could be positive or negative
therefore
x=2.83 or
=-2.83
which is the square root of 8 - and positive
If x and y vary directly and y is 120 when x is 15, find y when x is 6.
Answer:
y = 90
Step-by-step explanation:
Given,
x and y vary directly
Also, when y = 120, x = 15
So,
x = 1, y = 120/15 = 8
Therefore, when x = 6, y = 90
Step-by-step explanation:
you can ask questions for clarification
Please answer I give Brainliest
Answer:
hmmm
Step-by-step explanation:
what does the j, k, m, and l stand for?
Solve each related rate problem.6) Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. Theradius of the spill increases at a rate of 4 m/min. How fast is the area of the spillincreasing when the radius is 7 m?A) 63 m²/min B) 54rt m®/min C) 5211 m²/min D) 560 m²/min7) A spherical balloon is inflated so that its radius increases at a rate of 2 cm/sec. How fast
6.
We know area of circle is
[tex]\pi r^2[/tex]Radius increases at a rate of 4.
So, we can write:
[tex]\frac{dr}{dt}=4[/tex]We want rate of change of area. Thus,
[tex]\begin{gathered} A=\pi r^2 \\ dA=2\pi\text{rdr} \\ \frac{dA}{dt}=2\pi r\frac{dr}{dt} \end{gathered}[/tex]We want dA/dt at r = 7, so substituting all that we know:
[tex]\begin{gathered} \frac{dA}{dt}=2\pi r\frac{dr}{dt} \\ \frac{dA}{\text{dt}}=2\pi(7)(4) \\ =56\pi \end{gathered}[/tex]The correct answer: 56*pi m^2/min
A total of 432 chairs was arranged into 18 rows. Later, one more chair was added to each row. Which expression shows the number of chairs in each row after the addition of one more chair.
pleasee answer asap to be marked brainliest if correct answerd
Answer:
59.40
Step-by-step explanation:
20PTS
Please help answer quickly
Answer:
second option
Reflection across y=3
In the picture, There is graph with a triangle SNZ. The reflected triangle of y=3 as (1,2),(5,3) and (5,5).
Given that,
In the picture, There is graph with a triangle.
The triangle is SNZ.
We have to find the reflection across y=3.
We have to draw a line on y=3.
On the line y=3,
Z point is there so it will be same that is (5,3).
Now, the point S is on (5,1)
Here, y is 1 that is 3+2=5
So, we take the reflected S point as (5,5)
Now, the point N is on (1,4)
Here, y is 4 that is 3-1=2
So, we take the reflected N point as (1,2).
Therefore, we get the reflected triangle of y=3 as (1,2),(5,3) and (5,5).
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A is shaped like a rectangle whose perimeter is 378ft . The length is 8 times as long as the width. Find the length and the width.
The length and width of the rectangle with a perimeter of 378ft are 168ft and 21ft respectively.
What is the length and the width of the rectangle?The formula used in calculating the perimeter of a rectangle is expressed as;
P = 2( l + w )
Where l is length and w is width.
Given the data in the question;
Let 'x' represent the width of the rectangle.
Width of the rectangle w = xLength of the rectangle l = 8xPerimeter P = 378ftPlug the given values into perimeter formula and solve for x .
P = 2( l + w )
378 = 2( 8x + x )
378 = 2( 9x )
378 = 18x
18x = 378
x = 378/18
x = 21
Now, we find the length and width of the rectangle.
Width of the rectangle w = x = 21ft
Length of the rectangle l = 8x = 8( 21 ) = 168ft
Therefore, the width of the rectangle is 21ft while its length is 168ft.
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−46 times a number minus 19 is equal to 86 less than the number.
The solution of the equation −46x + 874 = 86 − x will be 17.51 which is that number.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
−46 times a number minus 19 is equal to 86 less than the number.
Let the number be x. Then the equation is given as,
−46(x − 19) = 86 − x
Simplify the equation, then we have
−46x + 874 = 86 − x
45x = 788
x = 788 / 45
x = 17.51
The solution of the equation −46x + 874 = 86 − x will be 17.51 which is that number.
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linear inequality: y>-2x-3
Answer:
The graph depicting inequality y > -2x - 3 is C
Write the equation that is parallel to 2x+y =4 going through the point (-1,3)
Answer:
2x +y = 1
Step-by-step explanation:
You want the equation of a line parallel to 2x+y=4 through point (-1, 3).
Parallel lineA parallel line will have the same slope, which is a function of the ratio of the x- and y-coefficients. Hence, the equation of the parallel line can use the same coefficients. It will have a constant suitable for the given point.
given: 2x +y = 4
parallel: 2x +y = c
through point (-1, 3): 2x +y = 2(-1) +(3) = 1
The equation of the parallel line is 2x+y = 1.
Factor 15cd − 45c ^2d.
3c ^2d(5 − 15)
5cd(3 − 15c ^2d)
3cd(5 − 15c)
5cd(3 − 45c ^2d)
3/2d
DIFFERENTIATE W.R.T. D
3
2
≈0.666666667
HELP PLEASE WILL GIVE BRAINLIEST!!! I NEED HELP
Answer: y = -x + 3
Step-by-step explanation:
y = mx + b
We need to find the slope of the equation first.
Change in y: 7 - 0 = 7
Change in x: -4 - 3 = -7
Slope = Change in y / Change in x
slope = 7 / -7 = -1
Now, plug the slope into the equation to find b.
0 = -1(3) + b
b = 3
or 7 = -1(-4) + b
b = 3