The radius of a circleIs 3 inches what is the circles area

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:

2:14 and 3:21 are two ratios that are equal to 1:7.

A reduction or drop is usually represented by a negative sign alongside the quantity of the drop.

In this case, the quantity of the drop is 21.

Hence, the integer used to represent the situation is:

Answer:

Each side length of the cube will be a polynomial of degree 3.

It will take 3.5 hours for the two cars to be 280 miles apart.

To determine the time it takes for the two cars to be 280 miles apart, we can use the concept of relative velocity.

Since the cars are traveling in opposite directions, their velocities can be added together to find their relative velocity:

Relative velocity = Velocity of car traveling east + Velocity of car traveling west

Relative velocity = 60 mph + 20 mph

Relative velocity = 80 mph

The relative velocity of the cars is 80 mph, which means that they are moving away from each other at a combined speed of 80 mph.

To find the time it takes for them to be 280 miles apart, we can use the formula:

Time = Distance / Speed

Plugging in the values, we have:

Time = 280 miles / 80 mph

Time = 3.5 hours

Therefore, it will take 3.5 hours for the two cars to be 280 miles apart.

During this time, the car traveling east would have covered a distance of 60 mph × 3.5 hours = 210 miles, while the car traveling west would have covered a distance of 20 mph × 3.5 hours = 70 miles.

The sum of these distances is indeed 280 miles, confirming the result.

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Answer:

Step-by-step explanation:

We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.

For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,

y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0

(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.

Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get

yp″=a1+2a2x....yp‴=2a2+3a3x+....

Substituting the general solution into the non-homogeneous equation, we get

a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)

So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:

a(n+1)=Y(n-2)/n^2

From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.

Enola needs to contribute $4,330.68 per month to the account.

Let's denote the monthly contribution as X.

The interest rate is 0.4% per month.

Since Enola plans to save for 3 years, the total number of months is:

= 3 * 12

= 36 months.

Using formula for compound interest: Future value = Present value * (1 + interest rate)^number of periods

We will plug values:

$5,000 = X * (1 + 0.004)^36

X = $5,000 / (1 + 0.004)^36

X = $5,000 / (1.004)^36

X = $4,330.68248

X = $4,330.68.

Answer: The answer is 4 pieces of chalk

Answer:

7 chalks

Step-by-step explanation:

7 crosses are above numbers that are higher than 5

Answer:

(0,3) (2,6)

Step-by-step explanation:

hope that helps

Answer: 86 degrees

Step-by-step explanation:

Answer:the simplified form of the expression (10x-5/6)-x+4/3 is 9x - 1.

Step-by-step explanation: To simplify the expression (10x-5/6)-x+4/3, you can start by applying the order of operations, which dictates that you should perform operations within parentheses or brackets first.

The expression (10x-5/6) can be simplified as follows:

(10x-5/6) = 10x - (5/6)

= 10x - (5*6)/6

= 10x - 5

= 10x - 5

Next, you can simplify the remaining terms of the expression:

(10x-5) - x + 4/3

= (10x-5) - (x3)/3 + 4/3

= (10x-5) - x + (43)/3

= (10x-5) - x + 4

= 10x - 5 - x + 4

= 10x - x - 5 + 4

= 9x - 1

Therefore, the simplified form of the expression (10x-5/6)-x+4/3 is 9x - 1.

Answer:

The balance in the account after 3 years is approximately $2313.94.

Step-by-step explanation:

The formula for calculating the balance in a continuously compounded account is:

B = Pe^(rt)

Where:

B = balance

P = principal

e = Euler's number (approximately 2.71828)

r = annual interest rate (as a decimal)

t = time in years

Using the given values, we have:

P = $2000

r = 0.051 (5.1% expressed as a decimal)

t = 3

Plugging these values into the formula, we get:

B = 2000e^(0.051*3)

B = 2000e^(0.153)

B = $2313.94 (rounded to the nearest cent)

Therefore, the balance in the account after 3 years is approximately $2313.94.

An example of a boundary value problem is the Sturm-Liouville problem, which entails determining the eigenvalues and eigenfunctions of a differential equation that complies with specific boundary requirements.

The general formula for the Sturm-Liouville problem's solution in x is y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the differential equation's eigenfunctions. When the differential equation and boundary conditions are solved, the eigenvalues and eigenfunctions are discovered.

For instance, if the differential equation has the following form: -y" + q(x)y = lambda* w(x)y where y is the dependent variable, y" is the second derivative of y, q(x) and w(x) are functions of x, and lambda is the eigenvalue, the boundary conditions can be of the following

form: where L is the length of the interval on which the differential equation is defined, y(0) = 0, and y(L) = 0.

The general solution in x can be expressed in the form: y(x) = a * f(x) + b * g(x), where a and b are constants and f(x) and g(x) are the eigenfunctions of the differential equation. The eigenvalues and eigenfunctions can be discovered by solving this differential equation and the boundary conditions.

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Answer:

how to the tutor it's on brainly lol

Answer:

i could help, not too good though.

Step-by-step explanation:

The ordered pair that is a solution of the system is (-2, 8).

Here we have the system of inequalities:

y > x² + 3

y < x² - 3x + 2

To check which points are solutions of the system, we can just evaluate both inequalities in the given points and see if they are true.

For example, for the first point (-2, 8) if we evaluate it in the two inequalities we get:

8 > (-2)² + 3 = 7

8 <  (-2)² - 3*(-2) + 2 = 12

As we can see, both inequalities are true. So we conclude that (-2, 8) is the solution.

(if you use any other of the 3 points you will see that at least one of the inequalities becomes false).

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Answer:

876

Step-by-step explanation:

2 3 - 3  / 23- sa

I have rewritten the expression for g(x) as shown below.

Answer:

\(f(x)*g(x)=18x^3-98x^2+103x-28\)

Step-by-step explanation:

Product of polynomials

Given

\(f(x)=-9x+4\)

\(g(x)=-2x^2+10x-7\)

Note: This function has been rewritten to make it a correct polynomial expression.

Find f(x)*g(x)

We'll apply the distributive property:

\(f(x)*g(x)=(-9x+4)*(-2x^2+10x-7)\)

\(=18x^3-8x^2-90x^2+40x+63x-28\)

Simplifying:

\(\boxed{f(x)*g(x)=18x^3-98x^2+103x-28}\)

Answer:

the answer is 47 sprinklers

Step-by-step explanation:

so the system is 188 and there is one sprinkler every 4 feet

so 188/4 which would give u 47

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

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Step-by-step explanation:

++++5

+++++++_2

1=false

true

false

false

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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The difference between the maximum and the minimum values of the trigonometric function is 6.

We have to determine the difference between the maximum and the minimum values of the trigonometric function.

The function is y = -3cos(2x) + 8

The maximum and the minimum value of cos can be defined at the value of 0 and 1.

As we know that, the value of cos0 = 1 and the value of cos90 = 0

Now the value of the function at x = 0

y = -3cos(2×0) + 8

y = -3cos(0) + 8

y = -3×1 + 8

y = -3 + 8

y = 5

Now the value of the function at x = 90

y = -3cos(2×90) + 8

y = -3(-1) + 8

y = 3 + 8

y = 11

The difference between the maximum and the minimum values of the trigonometric function = 11 - 5

The difference between the maximum and the minimum values of the trigonometric function = 6

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The linear equation that passes through the two given points is:

y = (-1/4)*x - 2/4

A general linear equation is written as:

y = m*x + b

Where m is the slope and b is the y-intercept.

If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope of the line is:

m = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (-1, -1/4) and (1, -3/4)

Then the slope is:

m = (-3/4 + 1/4)/(1 + 1)

m = (-2/4)/2 = -2/8 = -1/4

the line is:

y = (-1/4)*x + b

To find the value of v we can replace the point  (1, -3/4) so we get:

-3/4 = (-1/4)*1 + b

-3/4 + 1/4 = b

-2/4 = b

The linear equation is:

y = (-1/4)*x - 2/4

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Step-by-step explanation:20 days

The Surface Area of cylinders are: 100 yd² , 264 m², 226  mm²

The Surface Area of Can is 219 cm².

We know the formula for Surface Area of Cylinder

= 2πrh

1. Radius = 2 yd

Height = 8 yd

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 2 x 8

= 100 yd²

2. Radius = 7 m

Height = 6 m

So, Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 6 x 7

= 264 m²

3. Radius = 3 mm

Height = 12 mm

So,  Surface Area of Cylinder

= 2πrh

= 2 x 3.14 x 3 x 12

= 226  mm²

4. Radius = 3.5 cm

Height = 10 cm

So, Surface Area of Can

= 2πrh

= 2 x 3.14 x 3.5 x 10

= 219 cm²

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