how many meters in 200 km​

The number 2,000 represent the number of bacteria at t = 0 in the function.

Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

The population of a certain bacteria can be modeled by the function

\(\rm P(t) = 2,000\times (1.034) ^t\)

Where t represents the number of hours after an experiment has started.

The number 2,000 represent the number of bacteria at t = 0 in the function.

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Answer:

3

Step-by-step explanation:

Answer:

2x-3y<7

Step-by-step explanation:

Hope it helps (:

Answer: second sign

Step-by-step explanation:

The vertices that could represent the other three vertices of the rectangle are (6, 4), (0, 2), and (6, 2)

From the question, we have the following parameters that can be used in our computation:

Vertex = (0, 4)

The rectangle has at least one side with a length of 6 units

So, we have

Possible vertices = (6, 4), (0, 2), and (6, 2)

In the above vertices, we have

Lengths = 6 units and 2 units

Hence, the vertices that could represent the other three vertices of the rectangle are (6, 4), (0, 2), and (6, 2)

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Answer:

I believe it is 50% decreased, not sure

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

in order to find the percentage of the price decrease,we must find the difference between the prices

250-175=75

the price has dropped 75$

to find the percentage, we do 75/250

which can be simplified to 3/10 or 30%

We can check this by finding 30% of 250 which is 75

75=75

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

\(7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y\)

Substitute this into the second equation:

\(6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575\)

Multiply both sides by 7

\(47y=74025\)

Divide both sides by 47

\(y=1575\)

This means...

\(7x=2(1575)\\7x=3150\)

Divide both sides by 7

\(x=450\)

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

\(450*12=5400\)

12 chairs cost 5400.

Answer:

She is incorrect.

Step-by-step explanation:

She is incorrect.

An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.

Here are the integers:

..., -3, -2, -1, 0, 1, 2, 3, ...

-5.5 is not an integer.

Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.

Given,

Rachel states that -5.5 is an integer because it is negative.

We need to find out whether Rachel's statement is correct and give a reason.

Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......

It includes all whole numbers.

We have,

-5.5 is a negative rational number.

Integer has no decimal point.

-5.5 is not an integer.

Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.

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If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has exactly one solution.

This is because the linear function intersects the quadratic function at its minimum point, where there is only one value of x that satisfies both equations.
If a nonlinear system of equations contains one linear function that touches the quadratic function at its minimum, then the system has one unique solution.
Here's a step-by-step explanation:
1. A nonlinear system is a set of equations where at least one of the equations is not linear.
2. In this case, the nonlinear system contains one linear function and one quadratic function.
3. The quadratic function has a minimum point, which is the lowest point of its parabolic graph.
4. The linear function touches the quadratic function at its minimum, which means they intersect at exactly that point.
5. Since the two functions intersect at one point, the system has one unique solution, which corresponds to the coordinates of that intersection point.

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Answer:

10 is the answer for this

please mark me as brilliant

Step-by-step explanation:

to divide fractions you just flip the fraction after the divide symbol then you multiple.

e.g. \(\frac{1}{2}\)÷\(\frac{2}{3}\)    =   \(\frac{1}{2}\)×\(\frac{3}{2}\)..... then multiply!

Answer:

you can get chance to learn various types of fraction if you meet to your math teacher.

Step-by-step explanation:

I couldn't do because there is no system for making questions of fraction and solutions because keyboard goes give me to keep denominator.

The specific heat of the given sample is approximately 239.6 J/(kg·°C). This value indicates the amount of heat energy required to raise the temperature of 1 kilogram of the sample by 1 degree Celsius.

To determine the specific heat of the given sample, we can use the formula Q = mcΔT, where Q is the heat energy added, m is the mass of the sample, c is the specific heat, and ΔT is the change in temperature. By rearranging the formula, we can solve for c.

In this case, we are given the heat energy Q = 1.25 × 10^4 J, the mass m = 28.4 N (weight in newtons), and the change in temperature ΔT = 18.0 °C. To calculate the specific heat c, we rearrange the formula Q = mcΔT and solve for c.

First, we convert the weight from newtons to kilograms by dividing it by the acceleration due to gravity (9.8 m/s^2). So, the mass of the sample in kilograms is 28.4 N / 9.8 m/s^2 = 2.90 kg.

Substituting the given values into the formula, we have 1.25 × 10^4 J = c × 2.90 kg × 18.0 °C. Now, we can solve for c by dividing both sides of the equation by (2.90 kg × 18.0 °C):

c = (1.25 × 10^4 J) / (2.90 kg × 18.0 °C) ≈ 239.6 J/(kg·°C).

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The probability that a randomly selected band member is a senior given that he or she plays the trumpet is 34.78%.

Probability is defined as the likeliness of an event to happen. It can be calculated by dividing the total desired outcomes by the total outcomes.

P = desired outcomes / total outcomes

Of the 108 band members, if 23 play the trumpet, and 8 are seniors who play the trumpet, then the probability that a randomly selected band member is a senior given that he or she plays the trumpet is 8 divided by 23.

P = 8/23 x 100

P = 34.78%

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Answer:$57.50

Step-by-step explanation:

Recursive formula:

Let P(n) represent the price of the coat in the nth week.

P(n) = P(n-1) - $12.50

Explicit formula:

To find the price of the coat in any given week directly, we can use the following formula:

P(n) = $120 - $12.50 * (n-1)

Using the explicit formula, we can calculate the price after the sixth week:

P(6) = $120 - $12.50 * (6 - 1)

= $120 - $12.50 * 5

= $120 - $62.50

= $57.50

i think

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Answer:

Tanong mo sananay mo mgaling yun

The ordered pair (2,3) is not a solution of the system

From the question, we have the following parameters that can be used in our computation:

−8x + 4y > 3

6x - 7y < −5

The solution is given as

(2, 3)

Next, we test this value on the system

So, we have

−8(2) + 4(3) > 3

-4 > 3 --- false

This means that (2,3) is not a solution of the system

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The sample mean of the population is 3/4 and the variance is 3/80. Using the central limit theorem, P(\(\bar{X}\) > 0.8) can be simplified as 0.003.

The mean of the population can be computed as follows:

µ = ∫x f(x) dx from 0 to 1

= ∫x (3x²) dx from 0 to 1

= 3/4

The variance of the population can be computed as follows:

σ² = ∫(x-µ)² f(x) dx from 0 to 1

= ∫(x-(3/4))² (3x²) dx from 0 to 1

= 3/80

By the Central Limit Theorem, as the sample size n = 80 is large, the distribution of the sample mean \(\bar{X}\) can be approximated by a normal distribution with mean µ and variance σ²/n.

Therefore, P(\(\bar{X}\) > 0.8) can be approximated by P(Z > (0.8-0.75)/(sqrt(3/80)/sqrt(80))), where Z is a standard normal random variable.

Simplifying, we get P(\(\bar{X}\) > 0.8) ≈ P(Z > 2.73) ≈ 0.003.

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Answer:

d

Step-by-step explanation:

When the measure of two vertical angles are 8x-18 and 6x+14, x is A. 16.

It should be noted that vertically opposite angles are equal. In this case, we have to equate both angles given. This will be illustrated as:

Angle 1 = Angle 2

8x - 18 = 6x + 14

Collect like terms

8x - 6x = 14 + 18

2x = 32

Divide

x = 32/2

x = 16

The value of x is 16.

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Answer: y-3

Step-by-step explanation:

because its shifted 3 units down so going down the y axis 3 spaces.

After 5,730 years, 10 grams of carbon-14 would be present.

Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a: radioactive isotope with a half life of 5,730 years. If a sample of wood from an ancient artifact had 20 grams of carbon-14 initially, the amount remaining, in grams, is given by :

A(t)=20(1/2) ^ (t/5,730)

Substituting t = 5,730 in the given equation, we get:

A(5,730) = 20(1/2)^(5,730/5,730)

Simplifying, we get:

A(5,730) = 20(1/2)^1

A(5,730) = 20(1/2)

A(5,730) = 10

Hence, after 5,730 years, 10 grams of carbon-14 would be present.

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Answer:

Step-by-step explanation:

I guess you want to draw the graph.

The graph is a straight line

-6x - 20 = 4y

When x = 0:

-6(0) - 20 = 4y

y = -20/4 = -5

So, one point on the graph

= (0, -5)

When y = -2:

Plugging y = -2 into the equation:

-6x - 20 = 4(-2)

-6x = -8 + 20 = -12

x = -2

So, another point is (-2, -2)

Mark these 2 points on the graph paper

and draw a line passing through them.

To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.

The product of z and 5-6i can be written as:

z * (5 - 6i)

Expanding this expression, we get:

5z - 6zi

For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.

Setting -6z = 0, we find:

z = 0

So, one possible nonzero value of z is 0.

However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.

Let's consider the equation for the imaginary part:

-6z = 0

Dividing both sides of the equation by -6, we have:

z = 0/(-6)

z = 0

Again, we find z = 0, which is not a nonzero value.

Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.

Answer:

52

Step-by-step explanation:

miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52

Answer:

Hi there,

52 miles/hr

Step-by-step explanation:

we just divide 208 by 4

A vertical line can be written algebraicaly in the form:

x = c

where c is a constant.

You have the point (-2,3), a vertical line which crosses this point is x = -2, because the x-coordinate of the point is x=-2.

This loan has an interest 4. 5% compounded quarterly, account balance after 10 years:

The initial loan amount is $20,000, and it has an interest rate of 4.5% compounded quarterly. You would like to know the account balance after 10 years.

To calculate the account balance, we will use the compound interest formula:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the loan
P = the initial loan amount ($20,000)

r = the annual interest rate (0.045)
n = the number of times the interest is compounded per year (4, since it is compounded quarterly)

t = the number of years (10)

Plugging in the values:

A = 20000(1 + 0.045/4)^(4*10)

A = 20000(1.01125)^40

A ≈ 30,708.94

The account balance after 10 years will be approximately $30,708.94.

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Answer:

Step-by-step explana

multiply it by 2 or sdd itself to it

The  account will have $1536.007 after 9 years.

Part A:

To express the total amount of money A(t) in the account after 7 years, we can use the formula:

A(t) = P\((2^t)\)

where:

A(t) is the total amount in the account after t years,

P is the initial amount in the account (starting with $3.00 in this case),

t is the number of years.

Substituting the values into the formula, we get:

A(t) = 3 (\(2^7\))

A(t) = 3 x 128

A(t) = 384

Therefore, the total amount of money in the account after 7 years is $384.

B) To find out after how many years the account will have $1536.007, we need to solve the equation:

1536.007 = 3 \((2^t)\)

Dividing both sides of the equation by 3, we get:

512.0023333333 = \(2^t\)

Taking the logarithm (base 2) of both sides, we have:

log2(512.0023333333) = t

t = 9.000317.

Therefore, the account will have $1536.007 after 9 years.

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the solution for the initial value problem is: u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t) where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

The given partial differential equation is:

au(x, t) = 4 * (d²u(x, t) / dt²) / (dx²)

a) BCs (Boundary Conditions):

We have u(0, t) = 0 and u(π, t) = 0.

IC (Initial Condition):

We have u(x, 0) = x.

To solve this initial value problem, we need to find a function f(x) that satisfies the given boundary conditions and initial condition.

The solution for f(x) can be found using the method of separation of variables. Assuming u(x, t) = X(x) * T(t), we can rewrite the equation as:

X(x) * T'(t) = 4 * X''(x) * T(t) / a

Dividing both sides by X(x) * T(t) gives:

T'(t) / T(t) = 4 * X''(x) / (a * X(x))

Since the left side only depends on t and the right side only depends on x, both sides must be equal to a constant value, which we'll call -λ².

T'(t) / T(t) = -λ²

X''(x) / X(x) = -λ² * (a / 4)

Solving the first equation gives T(t) = C1 * exp(-λ² * t), where C1 is a constant.

Solving the second equation gives X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) + C3 * cos(sqrt(-λ² * (a / 4)) * x), where C2 and C3 are constants.

Now, applying the boundary conditions:

1) u(0, t) = 0:

Plugging in x = 0 into the solution X(x) gives C3 * cos(0) = 0, which implies C3 = 0.

2) u(π, t) = 0:

Plugging in x = π into the solution X(x) gives C2 * sin(sqrt(-λ² * (a / 4)) * π) = 0. To satisfy this condition, we need the sine term to be zero, which means sqrt(-λ² * (a / 4)) * π = n * π, where n is an integer. Solving for λ, we get λ = ± sqrt(-4n² / a), where n is a non-zero integer.

Now, let's find the expression for u(x, t) using the initial condition:

u(x, 0) = X(x) * T(0) = x

Plugging in t = 0 and X(x) = C2 * sin(sqrt(-λ² * (a / 4)) * x) into the equation above, we get:

C2 * sin(sqrt(-λ² * (a / 4)) * x) * C1 = x

This implies C2 * C1 = 1, so we can choose C1 = 1 and C2 = 1.

Therefore, the solution for the initial value problem is:

u(x, t) = sin(sqrt(-λ² * (a / 4)) * x) * exp(-λ² * t)

where λ = ± sqrt(-4n² / a), and n is a non-zero integer.

Note: Please double-check the provided equation and ensure the values of a and the given boundary conditions are correctly represented in the equation.

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