Rounding to the nearest whole number, the virus will take about 1460 days to grow from 200 to 810.
Growth rate is the rate at which something increases or grows over time. It is usually expressed as a percentage or a decimal.
The growth rate can be positive, indicating growth, or negative, indicating a decrease or decline.
First, we need to find the rate of growth per day in these virus:
Rate of growth = (210 - 200) / 19 = 10 / 19
Then we can use this rate to find the number of days it will take to grow from 200 to 810:
(810 - 200) / (10 / 19) ≈ 1459
Thus, to the nearest whole number, it will take approximately 1460 days to grow from 200 to 810.
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Did you get it right
Answer:
Yes You Did :D
Step-by-step explanation:
1. Simplify by using the Distributive Property.
4(4f - 29)
Answer:
\(\huge\boxed{\boxed{\bf{16f-116}}}\)
Step-by-step explanation:
Hello.
Do you remember what the Distributive Property states? If you don't, please don't worry :)
The Distributive Property states that
\(\huge\boxed{a(b+c)=ab+ac}\)
Now, let's simplify our expression ;)
4(4f-29)
4 times 4f and 4 times -29:
4×4f=16f
16f- (4×(-29)
16f-116
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
Find the missing number in the following puzzle.
The slope of the tangent line to the curve y= 3/x
at the point 5, 3/5 is-
The equation of this tangent line can be written in the form y = mx + b
where:
m is:
b is:
The tangent line at that point is:
y = (-3/25)*x + 6/5
so m = -3/25, and b = 6/5
How to find the slope of the tangent line?To find the slope at that point, we need to evaluate the derivative at that point.
y = 3/x
The derivative is:
y' = -3/x²
When x = 5, we have:
y' = -3/5² = -3/25
So that is the slope, m.
Now let's find the line.
The line must pass trhough the point (5, 3/5), then:
3/5 = (-3/25)*5 + b
3/5 = -3/5 + b
3/5 + 3/5 = b
6/5 = b
The equation of the line is:
y = (-3/25)*x + 6/5
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The population of a city increases at a rate proportional to the number of inhabitants present at any time t. If the population of the city was 200000 in 1990 and 250000 in 2000, what will be the population in 2010?
The population in 2010, which is the specified time, would be 312500- given by logarithmic functions and calculations.
According to the question,
dP/dt ∝ t
Taking proportionality constant to be K:
dP/dt = kP
dP/P = kdt
Integrating both sides:
∫dP/P = ∫kdt
㏒ P = kt + ㏒ c
We are given that, P = 20000 at t = 1990. Therefore,
㏒ (200000) = 1990k + ㏒ c.......(1)
Also, we are given that P = 250000 at t = 2000. Therefore,
㏒ (250000) = 2000k + ㏒ c........(2)
Now, subtracting eq. 1 from eq. 2:
㏒ (250000) − ㏒ (200000) = k (2000−1990)
㏒ 250000/200000 = 10k
log5/4 = 10k
k = 1/10 ㏒ 5/4
Substituting the value of k in eq.1:
㏒ (200000) = 1990 × 1/10 ㏒ 5/4 + ㏒ c
㏒ c = ㏒ (200000) - 1/10 ㏒ 5/4 × 1990
Substituting the value of log c and t = 2010 in eq.1:
㏒ P = 1/10 ㏒ 5/4 × 2010 + ㏒ (200000) - 1/10 ㏒ 5/4 × 1990
㏒ P = ㏒ (200000) + 1/10 ㏒ 5/4 × 20
㏒ P = ㏒ (200000) + 2 ㏒ 5/4
㏒ P = ㏒ (200000) + ㏒ (5/4) ²
㏒ P = ㏒ [(200000) × (5/4) ²]
P = 200000 × 25/16
P = 312500
Hence, the population in 2010 would be 312500.
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Adliyn mows 2 lawns first is 6 meters long and the second is 4 meters wide. The area of the second lawn is 6 times as big but has the same width of the first. What is the length of the second lawn
Answer:
The area of the first lawn is 64 = 24 square meters.
The area of the second lawn is 6 times bigger, so it is 246 = 144 square meters.
As the second lawn has the same width as the first one, 4 meters, we can calculate the length of the second lawn by dividing the area of the second lawn by its width.
So, the length of the second lawn is 144/4 = 36 meters.
Help ASAP!!
What is the value of f(-4) for the function
Answer:
B: 8
Step-by-step explanation:
Answer:
A. -24
Step-by-step explanation:
f(-4) = -4² + 2(-4)
solve
A voter in the upcoming election has many different types of issues on the ballot. Of the issues on the ballot, 7 are school related, 10 are ordinance related, and 2 are library related. If a single issue is picked at random, what is the probability that the issue is school or library related?
The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).
To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.
There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.
Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.
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What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
f(x)=(x-1)(x-2)(x-3)(x-4)(x-3)(x-2)(x-2)/[(x-2)(x-4)(x-2)]
Answer:
Step-by-step explanation:
(x-2)(x-2)(x-4)
Mikasa earned money over the summer babysitting and dog walking. She was paid $15 an hour
babysitting and $20 an hour dog walking. If she worked a total of 75 hours over the summer and
earned a total of $1350, how many hours did she work at each job?
a. (2 pts) Set up the system of equations for this scenario. Let “b” represent hours babysitting and “w” represent hours walking dogs.
b. (2 pts) Solve the system of equations. Show how you got your solution.
c. (2 pts) Show your solution works in both the original equations.
Building and solving a system of equations, we find that:
a) The system is:
\(b + w = 75\)
\(15b + 20w = 1350\)
b) The solution is:
\(b = 30, w = 45\)
c) Replacing into the equations, we get:
\(b + w = 75 \rightarrow 30 + 45 = 75\)
\(15b + 20w = 15(30) + 20(45) = 1350\)
----------------------------------
As stated in the problem:
b is the number of hours babysitting.w is the number of hours walking dogs.Item a:
Total of 75 hours, thus, the first equation of the system is:
\(b + w = 75\)
$15 for each hour babysitting, $20 for each hour walking the dog, and a total of $1350, thus:
\(15b + 20w = 1350\)
Then, the system of equations is:
\(b + w = 75\)
\(15b + 20w = 1350\)
Item b:
From the first equation, we write w as function of b, to find b in the second: \(w = 75 - b\)
Replacing in the second:
\(15b + 20w = 1350\)
\(15b + 20(75 - b) = 1350\)
\(15b + 1500 - 20b = 1350\)
\(-5b = -150\)
\(5b = 150\)
\(b = \frac{150}{5}\)
\(b = 30\)
Then, for w:
\(w = 75 - b = 75 - 30 = 45\)
The solution is: \(b = 30, w = 45\).
Item c:
To verify, we just replace the solutions into the two equations:
\(b + w = 75 \rightarrow 30 + 45 = 75\)
\(15b + 20w = 15(30) + 20(45) = 1350\)
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the dice was thrown 35 times and following numbers were obtained prepare frequency table51423266142545361526254132141626333
This table shows the frequency of each number obtained after throwing the die 35 times
How to prepare frequency tableTo prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.
Numbers: 1, 2, 3, 4, 5, 6
Frequency: 5, 14, 6, 4, 5, 1
Based on the given numbers, the frequency table would look like this:
Number | Frequency
1 5
2 14
3 6
4 4
5 5
6 1
This table shows the frequency of each number obtained after throwing the die 35 times.
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25 Points!!! Describe the transformation in y=|x-2| Photo attached
The transformation or dilation of y = |x - 2| is right 2 units i.e. B.
What exactly is dilation in mathematics?
In mathematics, dilation refers to a transformation in which an object is uniformly scaled or stretched without changing its shape. Specifically, dilation is a type of transformation in which the size of an object is changed by a scale factor. The scale factor is a positive number that represents the ratio of the lengths of the corresponding sides of the original object and its image.
Now,
The equation y = |x - 2| represents the absolute value function with a vertex at (2, 0).
The transformation involved in this equation is a horizontal translation of 2 units to the right. This means that the graph of the function is shifted 2 units to the right from the origin. The vertex of the absolute value function moves from (0, 0) to (2, 0) as a result of this transformation.
The absolute value function has a "V" shape with the vertex as the point of symmetry. In this case, the vertex is at (2, 0), and the function has a "V" shape opening upwards.
Overall, the transformation in y = |x - 2| is a horizontal translation of 2 units to the right from the parent function y = |x|.
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Complete the statement below to explain how this model shows that 1/2 ÷ 2/3 = 3/4.
Given a model in which some boxes are given.
Here, 1/2 is represented by 3 boxes and 2/3 is represented by 4 boxes. Thus, the model represents that 3/4 of 2/3 bar is equal to 1/2.
So, the mathematical representation of the model is:
\(\frac{1}{2}=\frac{3}{4}\times\frac{2}{3}\)If we divide both the sides by 2/3, we get:
\(\begin{gathered} \frac{1}{2}\div\frac{2}{3}=\frac{3}{4}\times\frac{2}{3}\div\frac{2}{3} \\ \frac{1}{2}\div\frac{2}{3}=\frac{3}{4} \end{gathered}\)30
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining
eggs were white in color. Which equation can be used to solve for w, the number
of white eggs used last week?
A 231 +46w=0
B 46+ w = 231
C w = 231 +46
D 231 = 46w
D 231 = 46w can be used to solve for w, the number of white eggs used last week.
how many solutions does this linear system hacve y=2/3x+2 6x-4y=-10
Answer:
the linear system has two valid solution.
Answer:one solution
Step-by-step explanation:
-5(x-2)+9=13 lololololololololololololololololol.ol
Answer:
x = 6/5
Step-by-step explanation:
-5(x-2)+9=13
To find x, subtract 9 from each side
-5(x-2)+9-9=13-9
-5(x-2)=4
Distribute -5
-5x +10 = 4
Subtract 10 from each side
-5x+10-10 = 4-10
-5x = -6
Divide each side by -5
-5x/-5 = -6/-5
x = 6/5
Answer:
\(x = \pink{1.2}\)
Step-by-step explanation:
\( - 5(x - 2) + 9 = 13\)
First, solve the brackets.
\( - 5x + 10 + 9 = 13\)
Combine like terms.
\( - 5x + 19 = 13\)
Take 19 to the right side.
\( - 5x = 13 - 19 \\ - 5x = - 6\)
Divide both sides by 5.
\( \frac{ - 5x}{ - 5} = \frac{ - 6}{ - 5} \\ x = \frac{6}{5 } \\ x = 1.2\)
Hi I need help plz help
Answer: 120
Step-by-step explanation:
5/3 X 4/3 X 2= 40/9
40/9 Divided by 1/3
40/3
One positive number is 9 more than twice another. If their product is 95, find the numbers.
Answer:
The numbers are 19 and 5
Step-by-step explanation:
Given
Let the numbers be \(x\ and\ y.\)
So:
\(x = 9 + 2y\) --- First statement
\(x*y = 95\) --- second statement
Required
Find x and y
Substitute \(x = 9 + 2y\) in \(x*y = 95\)
\((9 + 2y) * y = 95\)
\(9y + 2y^2 = 95\)
Rewrite as:
\(2y^2 + 9y - 95 = 0\)
Expand
\(2y^2 -10y +19y- 95 = 0\)
Factorize
\(2y(y -5) +19(y- 5) = 0\)
\((2y +19)(y- 5) = 0\)
Solve for y
\(2y + 19 =0\) or \(y - 5 = 0\)
\(2y = -19\) or \(y = 5\)
\(y = -\frac{19}{2}\) or \(y=5\)
Since the numbers are positive, we take only:
\(y=5\)
Substitute \(y=5\) in \(x = 9 + 2y\)
\(x = 9 + 2 * 5\)
\(x = 9 + 10\)
\(x = 19\)
The numbers are 19 and 5
can somebody please help me with this. 3x + 4(x+20)
Answer:7x + 80
Step-by-step explanation :simplify the expression
Felipe rented a truck for one day. There was a base fee of $17.95, and there was an additional charge of 86 cents for each mile driven. Felipe had to pay $270.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
421.4 miles
Step-by-step explanation:
Numner of miles= ($270.79-$17.95)/86 cents
= $252.84/$0.60
=421.4 miles
simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
\(5^2*5^4\\5^2^+^4\\5^6\)
Which is equivalent to 80 Superscript one-fourth x? (StartFraction 80 Over 4 EndFraction) Superscript x RootIndex 4 StartRoot 80 EndRoot Superscript x RootIndex x StartRoot 80 EndRoot Superscript 4 (StartFraction 80 Over x EndFraction) Superscript 4
whoever can answer this gets brainliest
The expression that is equivalent to \(80^{(1/4}\) * x is \(80^{4/x}\)
How to calculate the valueTo determine the equivalent expression to \(80^{1/4}\) * x, let's analyze each option:
\(80/4^{x}\)
This expression simplifies to \(20^{x}\), but it is not equivalent to the original expression.
Applying the power of a power rule, this expression simplifies to \(80^{x/4}\) , which is not equivalent to the original expression.
\(80/x^{4}\)
This expression can be simplified as \(80^{4 x^{4} }\) , which is not equivalent to the original expression.
Therefore, the expression that is option d.
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A retailer sold 3 cameras for Rs 28,500 and had a loss of 5%. Find the cost price
Answer:
4275 i think
Step-by-step explanation:
please help i will mark brainliest, will report spam answers.
9514 1404 393
Answer:
(c) AE = 18 cm; EB = 6 cm
Step-by-step explanation:
You can check the answers to see if they meet the problem requirements.
The partitioning requirement is that AE : EB = 3 : 1.
choice A: 20 : 4 = 5 : 1 . . . . incorrect
choice B: 4 : 20 = 1 : 5 . . . . incorrect
choice C: 6 : 18 = 1 : 3 . . . . incorrect
choice D: 18 : 6 = 3 : 1 . . . . correct
FIND THE AREA OF THE SHAPE BELOW
PLEASE HELP I HAVE BEEN STUCK ON THIS FOREVERRRR!!
THANK YOU
Answer:
Is answer 22 units sqaure ?
The measure of angle theta is 7x/6. The measure of its reference angle is _ °, and sin theta is _
Answer:
30° and -1/2. This is pretty easy to do on a piece of paper but I recommend googling "unit circle" and clicking images, it tells you everything you need to know.
Step-by-step explanation:
A town determined that the function f(x) - 820(0.977* models the number of speeding tickets issued in the town x years after 2000. Which statement is
true about the number of speeding tickets issued each year?
Answer:D The number of tickets is increasing by 97% each year
Step-by-step explanation:
The rate of change is (0.97). You change that decimal into a percent To get your percentage rate / increase rate...I think
please help ive been stuck on this question.
The value of the expression 8 / m - 11 / 3m is 13 / 3m
How to simplify an expression?8 / m - 11 / 3m
Therefore,
8 / m - 11 / 3m
The factor of the denominator is 3m
Therefore,
8 / m - 11 / 3m = 3(8) - 11/ 3m
3(8) - 11/ 3m = 24 - 11 / 3m
24 - 11 / 3m = 13 / 3m
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