The rate at which a rumor spreads through a town of population N can be modeled by the equation dt/dx = kx(N−x) where k is a constant and x is the number of people who have heard the rumor. (a) If two people start a rumor at time t=0 in a town of 1000 people, find x as a function of t given k=1/250. (b) When will half the population have heard the rumor?

Answer:

320%

To have over 100% of something means that you have more than the original number you had.

Step-by-step explanation:

Step-by-step explanation:

To find what percent a first number is of second number, divide the first number by the second number and multiply by 100%.

To find what percent 16 is of 5, divide 16 by 5 and multiply by 100%.

16/5 * 100% = 3.2 * 100% = 320%

"Percent" literally means "per 100."

100% means 100 out of 100, and means an entire amount.

More than 100% percent means more than the entire amount.

5 hours was the estimated time. 100% of 5 hours is 5 hours, the entire amount. More than 100% is more than the entire amount, so it is more than 5 hours. 16 hours is certainly much more than 5 hours, and it is 320% of 5 hours.

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

⇒ total cost = 17 x 2.25

                    = $38.25

Perimeter:-

Toatl cost::

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Answer:

c is the answer it the question

Answer:

Harry made 9 resolutions.

Step-by-step explanation:

Tim made x resolutions.

Harry made five more, x + 5.

Harry and Tim's together was 13.

x + x + 5 = 13

combine like terms.

2x + 5 = 13

subtract 5

2x = 8

divide by 2

x = 4

Tim made 4 resolutions.

Harry made 4 + 5, that is, 9 resolutions.

Check:

Harry and Tim together is 13.

4 + 9 = 13

Harry made 9 resolutions.

Answer:

57

Step-by-step explanation:

this is the boybfiend

Answer:

It is a Number between 1 - 100

Step-by-step explanation:

It helps if you pay attention in class

The following function attempts to calculate the th triangular number. It will cause a RuntimeError due to infinite recursion.

The function attempts to calculate the nth triangular number by adding n to the result of tri(n-1), which in turn adds n-1 to the result of tri(n-2), and so on. This process will continue indefinitely unless a stopping condition is reached. However, the function does not have a stopping condition, so it will continue to call itself indefinitely, leading to a runtime error due to infinite recursion.

To fix this, the function should have a base case that stops the recursion when n is equal to 1 or 0, and returns 1 or 0, respectively. For example:

def tri(n):

if n == 0:

return 0

elif n == 1:

return 1

else:

return n + tri(n-1)

This will correctly calculate the nth triangular number using a recursive formula.

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The statement that in the Orthogonal Decomposition Theorem, each term in formula (2) for Å, is itself an orthogonal projection of y onto a subspace of W is true .

The orthogonal decomposition of the vector of is the sum of the vectors of the subspaces of and the vectors of the orthogonal complements of . The orthogonal decomposition theorem states that each vector in can be uniquely described in the form , if W is a subspace of V then ecah vector in can be written in uniquely. Therefore z belongs to W⊥ because it is orthogonal to the spanning set of W. To keep the decomposition y = p + z unique, assume another decomposition y = q + w such that q ∈ W and w ∈ W⊥. Both decompositions are equal to y, so we have p − q = w − z. where p − q is in W and w − z is in W⊥.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

Step-by-step explanation:

I think you mean tan^2θ, not tan2θ.

Use the trigonometric identities

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

sin²θ = 1-cos²θ

cos²θ = 1-sin²θ

Answer:

-27 + 38

Step-by-step explanation:

two - signs make a +

Answer:

-27 + 38

Step-by-step explanation:

when there are two negative signs next to each other, they cancel and turn into an addition sign.

Answer: its correct

Step-by-step explanation: 4 is the answer

Answer:

ur good, pretty sure its 4 :)

Answer:

h(7) = 14, see below

Step-by-step explanation:

h(x) = 2x

So if x is 7, we want to plug in 7 for x

h(7) = 2(7)

h(7) = 14

Answer:

The answer that describes the pair of angles is Acute

We get the number of nonnegative integer solution for the given pair of equations as 36 and 105 respectively.

The number of non-negative integer solutions of x1+x2+x3=7 is the number of permutations of a multiset with seven 1's, and two +'s. This is

9!/7!2! = 36

Similarly, the number of non-negative integer solutions of x4+x5+x6=13 is the number of permutations of thirteen 1's, and two +'s. This is

15!/13!2! = 105

This is why the first number in your combination is what the variables equal, and the second is "one less" the amount of variables, since you're permuting the +'s.

Hence we get the required answer.

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How many nonnegative integer solutions are there to the pair of equations x1+x2+…+x6=20 and x1+x2+x3=7?

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer:

B

Step-by-step explanation:

A type of dragonfly is the fastest insect.

a. Write an equation to find how far the dragonfly can travel

d = Distance Traveled (

s = Time in second

For calculating the expression, we are gonna use this two

points

A = (1, 23)

B = (5, 115)

First, we are going to calculate the slope

Now, we are going to calculate the intercept

The equation would be

Using our nomenclature

b. Use the equation to determine how far the dragonfly can travel in one minute

one minute = 60 seconds

139 miles

explanation:

$1 → 100 cents

Here the base fee is fixed.

make equation:

$19.99 + 0.83m ↣ $135.36

0.83m ↣ $135.36 - $19.99

0.83m ↣ $115.37

m ↣ 139

Therefore she has ridden 139 miles.

Answer:

100 in 10 theaters. 100÷10=10 44÷4=11

(3,2)  is the solution to the system of equations

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

y equals minus x plus 5 by joining the ordered pairs 0, 5 and 5, 0

y=-x+5...(1)

y equals x minus 1 by joining the ordered pairs negative 1, negative 2 and 5, 4.

y=x-1..(2)

Substitute 2 in 1

x-1=-x+5

x-1+x-5=0

2x-6=0

2x=6

Divide both sides by 2

x=3

Now plus in x value in 1

y=-3+5

y=2

Hence, (3,2)  is the solution to the system of equations

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Answer:

The answer is C (3,2)

Step-by-step explanation:

i got it right on my exam

Answer:

D) The number of dollars it costs to rent the house for 10 days

Answer:

4.13=4.130

If there is a 0 at the end of a decimal then you can drop it.

The statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

From the given options the correct expression which represents equality will be 4.13 = 4.130. The value of both the numbers is the same. There is not any significance of 0 at the end of the expression.

Therefore, the statement that correctly compares two numbers is 4.13 = 4.130. The correct option is A.

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The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).

To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:

(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)

where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.

In this case, θ = 90 degrees, so we have:

(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)

        = (-6, -4)

Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).

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Answer:

37317600  beats she will have in 4 years.

Step-by-step explanation:

Given that,

A typical person has an average heart rate of 71.0 beats/min.

We need to find the number of beats she have in 4 years.

As 1 year = 525600 min

1 min = 71 beats

525600 min = 525600 × 71

=37317600  beats

Hence, 37317600  beats she will have in 4 years.

The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Answer:

6pi meters

Step-by-step explanation:

The formula for area of a circle is

A = pi r^2

9 pi  = pi r^2

Divide each side by pi

9 = r^2

Take the square root of each side

sqrt(9) = sqrt(r^2)

3 =r

Now we can find the circumference

C = 2 * pi *r

C = 2 * pi *3

C = 6pi meters

Answer:

6pi meters

Step-by-step explanation:

give the person above brainliest

have a good one!

The fractional part of 70/28 is 35/14 i.e., 2.5

Percentage:

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100

28 of 70 can be written as:

=> \(\frac{28}{70}\)

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

\(\frac{28}{70}\) × \(\frac{100}{100}\)

=> (28 × 100) /70 ×\(\frac{1}{100}\)

=> 40/100

Therefore, the answer is 40%

The fractional part of 70/28 is 35/14 i.e., 2.5

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