Find x, if it is equal to 1/3 of 21.

According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

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Answer: 7 i think

Step-by-step explanation:

Answer: Octagon & 6.2

Step-by-step explanation:

octagons have 8 sides and 3.1 x 4 = 12.4 divided by 2 = 6.2

Answer:

$ 16.50

y = 1.50m + 3

Step-by-step explanation:

1.50(9) + 3 = $16.50

Answer:

The correct answer is, SSS

Step-by-step explanation:

- 2 angles are the same meaning so is the 3rd one

- two sides are in the same proportions

The long side on WXY that is 8in length is twice the size of MLK that is 4in long, meaning the other two sides of MLK are 3 and 5in long.

Hope this helped :)

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

He or she has 232,840,800 beats in five minutes.

Step-by-step explanation:

This question is solved by proportions.

In this question:

A year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in five years:

5*365*24*60 = 2,628,000 minutes.

How many beats in five minutes?

88.6 beats/min, 2,628,000 minutes. So the number of bears is:

88.6*2628000 = 232,840,800

He or she has 232,840,800 beats in five minutes.

It is important to note that sharing or requesting specific keys or answers to educational materials, including guided notes, would be considered unethical and potentially a violation of academic integrity.

Guided notes are intended to assist students in actively engaging with course material and enhancing their learning experience. It is recommended that you approach your teacher or instructor for any clarification or additional resources you may need to fully understand the content.

They are in the best position to provide you with the necessary guidance and support.

Instead of seeking shortcuts or unauthorized access to answers, it is more beneficial to invest time and effort in studying, asking questions, and actively participating in your educational journey.

This approach will not only help you grasp the subject matter more effectively but also promote personal growth and knowledge development.

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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Answer:

13

Step-by-step explanation:

According to the Pythagorean principle

\(c^{2} = a^{2} +b^{2}\)

\(c^{2} = (5^{2} ) + (12^{2} ) = 25 +144= 169\\c= \sqrt{169 } = 13\)

Answer:

Step-by-step explanation:

step 1:

determining the values for standard form for the equation of a line,

y = mx + c

Step 2:

calculation of m, where m is the gradient or slope which determines how steep the line is.

step 3:

calculation of c, where c is the height at which the line crosses the y - axis also known as y - intercept

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term

2 (1) -2 = 0 first term

2 (2)-2 = 2 second

2 (3)-2 = 4 third

2 (4)-2 =6 fourth

2 (5)-2 =8 fifth

Answer: The answer is 3.

Answer:

3

Step By step:

Answer:

25+4=29

thats your answer

PLEASE MARK AS THE BRAINLIEST

Answer:

29

Step-by-step explanation:

x^2+4

Let x= 5

5^2 +4

25+4

29

The total amount that he will owe after the loan period of 25 weeks is; $806.25

The formula to calculate simple interest is;

I = PRT/100

Where;

P is principal

R is rate

T is time

We are given;

P = $780

R = 7%

T = 25 weeks = 25/52 years

Thus;

I = (780 * 7 * 25/52)/100

I = $26.25

Total payoff = $780 + $26.25

= $806.25

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Answer:

161

Step-by-step explanation:

69 is 30% of 230 so 230-69=161 is the answer.

The difference between their yearly incomes is $31,304.

To calculate each person's yearly income, we need to multiply their weekly income by the number of weeks in a year. Assuming there are 52 weeks in a year, the yearly income can be calculated as follows:

For the student who drops out of high school:

Yearly Income = Weekly Income x Number of Weeks

= 451 x 52

= 23,452

For someone with a bachelor's degree:

Yearly Income = Weekly Income x Number of Weeks

= 1053 x 52

= 54,756

The difference between their yearly incomes can be found by subtracting the student's yearly income from the bachelor's degree holder's yearly income:

Difference = Bachelor's Yearly Income - Student's Yearly Income

= 54,756 - 23,452

= 31,304

Therefore, the difference between their yearly incomes is $31,304.

It is important to note that these calculations are based on the given information and assumptions. The actual yearly incomes may vary depending on factors such as work hours, additional income sources, deductions, and other financial considerations.

Additionally, it is worth considering that educational attainment is just one factor that can influence income, and there are other variables such as experience, job type, and market conditions that may also impact individuals' earnings.

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Answer:

-1/2

Step-by-step explanation:

To find f(f^-1(-1/2)), we need to first find the inverse of f, which is denoted as f^-1. The inverse of a function f is another function that undoes the effect of f. In other words, if y = f(x), then x = f^-1(y).

The inverse of f is given by:

f^-1(y) = (y - 5) / 2

Now we can substitute -1/2 for y in this expression to find f^-1(-1/2):

f^-1(-1/2) = (-1/2 - 5) / 2

f^-1(-1/2) = (-11/2) / 2

f^-1(-1/2) = -11/4

Now that we have found f^-1(-1/2), we can substitute this value into the original function f to find f(f^-1(-1/2)):

f(f^-1(-1/2)) = f(-11/4)

f(f^-1(-1/2)) = 2(-11/4) + 5

f(f^-1(-1/2)) = -11/2 + 5

f(f^-1(-1/2)) = -1/2

Therefore, f(f^-1(-1/2)) = -1/2

Based on the provided data sets, it can be observed that both Data Set K and Data Set L have identical values. Therefore, their centers and spreads are also identical.

The center of a data set can be measured using various statistical measures such as the mean, median, or mode. Since the data sets have the same values, all these measures will yield the same result for both sets.

In this case, the center of Data Set K is equal to the center of Data Set L.

Similarly, the spread of a data set refers to the measure of variability or dispersion within the data. Common measures of spread include the range, variance, and standard deviation.

However, since the data sets are exactly the same, all these measures will yield identical results for both sets. Thus, the spread of Data Set K is the same as the spread of Data Set L.

In summary, both the center and the spread of Data Set K are the same as those of Data Set L. Therefore, there is no difference between the two data sets in terms of their central tendency or variability.

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The total amounts of money which Mrs. Reynolds now has according to the descriptions in the task content is; $68.

It follows from the task content that;

On this note;

Hence, it follows that the amount of money, s she has now is;

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Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

In this problem, 4 people will be arranged, hence:

\(A_4 = 4! = 24\)

Hence, they can be arranged in 24 ways.

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After 1 second the football is 24.5 meters.

Given that, a football is catapulted into the air so that its height h, in meters, after t seconds is h = -4.9t² +27t +2.4

a) Here, t=1

Now, h =-4.9(1)²+27(1)+2.4

= -4.9+27+2.4

= 24.5 meters

b) Given that, h=30 meter

30=-4.9t² +27t +2.4

30+4.9t²-27t-2.4=0

4.9t²-27t+27.6=0

Factor and set each factor equal to zero.

Exact Form:

t=(135+√4701)/49, (135−√4701)/49

Decimal Form:

t=4.15436405…, and 1.35584002...

c) To find maximum height, set h=0

-4.9t² +27t +2.4=0

Factor and set each factor equal to zero.

Exact Form:

t=(135+√19401)/49, (135−√19401)/49

Decimal Form:

t=5.59770352…,−0.08749943…

Therefore, after 1 second the football is 24.5 meters.

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a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.

b. Super Vision raises the rates 23% after a new customer's first year,  a customer who switched from Super Vision save $180 in the second year.

c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.

a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.

Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:

$46 (home phone) + $36 (Internet) + $56 (cable television) = $138

Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:

$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month

Therefore, during the first year, the customer could save:

$38 (monthly savings) * 12 (number of months) = $456

b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:

$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123

To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month

Therefore, in the second year, the customer would save:

$15 (monthly savings) * 12 (number of months) = $180

c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:

$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14

To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:

$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14

In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.

Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.

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Answer:

3 * 5

4    2

Step-by-step explanation:

To convert division problems with fraction into multiplication problems use the KCF rule

Keep the 1st Fraction the same

Change the division sign to a multiplication sign

Flip the fraction (reciprocal)

Answer:

h(-8)=-15

Step-by-step explanation:

Substitute t=-8

h(-8) =-2(-8+5)^2+3

       =-2(-3)^2+3

       =-2(9)+3

       =-18+3

       =-15

h(-8) = - 15

h(t) = - 2(t + 5)² + 3

replace t with - 8

h(-8) = - 2(- 8 + 5)² + 3

h(-8) = - 2(-3)² + 3

h(-8) = -2×9 + 3

h(-8) = - 18 + 3

h(-8) = - 15

Therefore, the painting should be placed 5/4 feet on each side of the wall.

In the given problem, a 5-foot wide painting should be centered on a 15-foot wide wall. We can determine the length of each side of the painting by subtracting x from each side of the wall.

Therefore, the left side of the equation can be written as:

\(15 - x - 5 - x\)

The physical situation given is that the painting is to be centered on the wall. This means that each side of the wall will have the same amount of space as the painting.

Therefore, the length of each side of the painting can be determined by subtracting x from each side of the wall. The total width of the wall is 15 feet, and the painting is 5 feet wide.

Therefore, the total length of the space on each side of the painting is 5 + x.To find the value of x, we can equate the length of each side of the painting. Therefore, the equation can be written as:

\(15 -x - 5 - x = 5 + x + x\)

Simplifying the equation, we get:

\(10 - 2x = 2x + 5\)

Solving for x, we get:

\(4x = 5x = \frac{5}{4}\)

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Answer:

the answer for this is:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)

Step-by-step explanation:

Answer: 5

Step-by-step explanation: 1 + 4 = 5

Answer:

555555555555555555555555555555

Step-by-step explanation:

Answer:

\(- 6 {x}^{2} -2x + 20\)

\(( - 3x + 5)(2x + 4) \\ \\ = - 3x(2x + 4) + 5(2x + 4) \\ \\ = - 3x(2x) - 3x(4) + 5(2x) + 5(4) \\ \\ = - 6 {x}^{2} - { 12x} + {10x} + 20 \\ \\ = - 6 {x}^{2}-2x + 20\)

Solution:

To simplify this expression, multiply the terms together....

Hence, the simplified expression is -6x² - 2x + 20.

Hoped this helped!