Calculate the baby's age. Enter your answer as ( MD). Be sure to use parenthesis. Date of Appointment 09/15/2020 Date of Infant's Birthday: 02/28/2020

We have to divide the shape into two

It will give us a Rectangle and a Trapezium

Answer:

OB

because domain is all X values that satisfy graph. And on graph X has all +ve values going to infinity.

When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

Since the Function g is defined as g(x) = 2f(x – 4) + 3

So here OB should be considered as the domain of the all x values should satisfied the graph. Also, on graph X it contains the positive values that goes to infinity.

Hence, When the Function g is defined as g(x) = 2f(x – 4) + 3 so the domain of the function g is OB. {x|0 < x <♾}.

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Answer:

324cm³

Step-by-step explanation:

Volume of a triangular prism = (height x width x base length) / 2

We are given:

If we plug this into the formula we get (9 x 6 x 12) / 2

==> multiply numbers in parenthesis

volume = 648/2

==> simplify division

volume = 324cm³

The given system of linear differential equations x' * (t) = [[2, 1], [1, 1]] * x(t) can be written as x' * (t) = A * x(t), where A is the matrix [[2, 1], [1, 1]]. We need to find the eigenvalues and eigenvectors of A.

First, let's find the eigenvalues. We solve the characteristic equation det(A - λI) = 0, where I is the identity matrix: det([[2, 1], [1, 1]] - λ[[1, 0], [0, 1]]) = 0

Expanding the determinant, we get:

(2 - λ)(1 - λ) - 1 = 0

λ² - 3λ + 1 = 0

Using the quadratic formula, we find the eigenvalues:

λ₁ = (3 + sqrt(5))/2

λ₂ = (3 - sqrt(5))/2

Next, we find the corresponding eigenvectors. For each eigenvalue, we solve the equation (A - λI)v = 0:

For λ₁ = (3 + sqrt(5))/2:

[[2 - (3 + sqrt(5))/2, 1], [1, 1 - (3 + sqrt(5))/2]] * [[v₁₁], [v₁₂]] = [[0], [0]]

Simplifying the matrix equation, we get:

[[(1 - sqrt(5))/2, 1], [1, (1 - sqrt(5))/2]] * [[v₁₁], [v₁₂]] = [[0], [0]]

Solving this system of equations, we find the eigenvector [[v₁₁], [v₁₂]].

Similarly, for λ₂ = (3 - sqrt(5))/2, we solve the equation:

[[(1 + sqrt(5))/2, 1], [1, (1 + sqrt(5))/2]] * [[v₂₁], [v₂₂]] = [[0], [0]]

Solving this system of equations, we find the eigenvector [[v₂₁], [v₂₂]].

Finally, we have found the vectors [[d₁], [d₂]] = [[(3 - sqrt(5))/2], [(3 + sqrt(5))/2]], [[v₁₁], [v₁₂]], and [[v₂₁], [v₂₂]].

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Answer:

Step-by-step explanation:

To slove this problem you need to use the oythargoeam theraom. This formaul is \(a^2+b^2=c^2\). In this case, a is 3 and b is 9. So let us insert this and solve.

Answer:

(x -2)^2 + (y-6)^2 = 16

Step-by-step explanation:

The equation of a circle is of the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- 2)^2 + (y-6)^2 = 4^2

(x -2)^2 + (y-6)^2 = 16

Answer:

F. 1

Step-by-step explanation:

Get 1/7 and 1/6

I would do this by dividing the whole equation by 42

6/42=1/7

7/42=1/6

That means 42/42=1 so the answer is 1

The circumference of the outer circle is greater than the circumference of the inner circle by 44/7 feet.

What exactly is a circle?

A circle is a basic closed form made up of all points on a plane that are at a fixed distance from the centre. The radius is the distance between the centre and any point on the circle. A circle is often represented by the mathematical symbol "∘" or the equation (x-a)² + (y-b)² = r², where (a,b) is the center and r is the radius.

Now,

To find the circumference of the outer circle, we need to add the distance between the two circles to the circumference of the inner circle and then calculate the circumference of the resulting larger circle.

Circumference of the inner circle = πd = π*44 = 44π feet

Distance between the circles = 2 ft

Diameter of the larger circle = diameter of inner circle + distance between the circles = 44 ft + 2 ft = 46 ft

Circumference of the larger circle = πd = π(46) = 46π ft

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle

by 46π - 44π

= 2*π feet=

=2*22/7=

=44/7 feet.

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The length of the movie screen at the local cinema is 37188552  feet.

Let's assume the width of the rectangle movie screen is represented by 'w' feet. According to the given information, the length of the screen is 303030 feet longer than the width. Therefore, the length can be expressed as 'w + 303030' feet.

The perimeter of a rectangle is given by the formula: 2(length + width). In this case, the perimeter of the movie screen is 148148148 feet. We can set up the equation as follows:

2(w + (w + 303030)) = 148148148.

Simplifying the equation, we have:

2(2w + 303030) = 148148148.

4w + 606060 = 148148148.

4w = 147542088.

Dividing both sides by 4, we get:

w = 36885522.

Therefore, the width of the screen is 36885522 feet. Since the length is 303030 feet longer than the width, we can calculate the length as:

Length = Width + 303030 = 36885522 + 303030 = 37188552 feet.

Hence, the length of the movie screen is 37188552  feet.

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The solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

To find the maximum value of y in the given initial value problem y'' + y = -sin(2x) with the conditions y(0) = 0 and y'(0) = 0, we can follow these steps:
1. Identify that the given problem is a second-order homogeneous linear differential equation with constant coefficients.
2. Find the complementary function by solving the homogeneous equation y'' + y = 0.
3. Apply the method of variation of parameters to find the particular solution for the non-homogeneous equation.
4. Combine the complementary function and the particular solution to obtain the general solution of the given problem.
5. Apply the initial conditions y(0) = 0 and y'(0) = 0 to find the constants in the general solution.
6. Analyze the solution to determine the maximum value of y.
Since the solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

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Answer:

Domain: All numbers greater than or equal to 0. By definition, the domain of a graph, is the possible x values.

Range: All real numbers. By definition, the range is all possible x values.

Not a function. A function has y value for every x value.

The linear inequality of the graph is: -x + 2y + 1 > 0

First, we calculate the slope of the dashed line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Two points on the graph are:

(1, 0) and (3, 1)

The slope (m) is:

\(m = \frac{1 - 0}{3 - 1}\)

This gives

m = 0.5

The equation of the line is calculated as:

\(y = m(x -x_1) + y_1\)

So, we have;

\(y = 0.5(x -1) + 0\)

This gives

\(y = 0.5x -0.5\)

Multiply through by 2

\(2y = x - 1\)

Now, we convert the equation to an inequality.

The line on the graph is a dashed line. This means that the inequality is either > or <.

Also, the upper region of the graph that is shaded means that the inequality  is >.

So, the equation becomes

2y > x - 1

Rewrite as:

-x + 2y + 1 > 0

So, the linear inequality is: -x + 2y + 1 > 0

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Complete question

Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form ax+by+c>0 or ax+by+c \(\geq\) 0 where a, b, and c are integers with no common factor greater than 1.)

n (number of observations per region): n = 18, Degrees of freedom: df = 34, Point estimate for the southern part of the county: x1 = 155.056, Point estimate for the northern part of the county: x2 = 168.889

analyze the data related to the mean home prices in the northern and southern parts of the county. Here's a summary of the relevant values:

n (number of observations per region): n = 18

Degrees of freedom: df = 34

Point estimate for the southern part of the county: x1 = 155.056

Point estimate for the northern part of the county: x2 = 168.889

In this case, the real estate agent wants to test if the mean home price in the northern part of the county is higher than the southern part. The given data provides t Stat (1.949) and the t Critical one-tail value (2.441).

To determine whether the claim is true or not, we need to compare the t Stat and the t Critical one-tail values. The claim is supported if the t Stat is greater than the t Critical one-tail value.

In this case, the t Stat (1.949) is less than the t Critical one-tail value (2.441). Therefore, we cannot support the claim that the mean home price in the northern part of the county is significantly higher than the mean price in the southern part at the given 99% confidence level.

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Using the Laplace transform lookup table, we can find that the Laplace transform of u(t-a) is e^-as/s. Therefore, the Laplace transform of u(t-2) is: f(s) = e^-2s/s

To calculate the Laplace transform f(s) of a function f(t), we can use the Laplace transform lookup tables and the known properties of the Laplace transform.

Here are the Laplace transform lookup tables for some common functions:

Function f(t)          |   Laplace Transform f(s)
------------------------------------------------------
1                           |   1/s
t^n                       |   n!/s^(n+1)
e^-at                     |   1/(s+a)
sin(at)                  |   a/(s^2+a^2)
cos(at)                  |   s/(s^2+a^2)
u(t-a)                  |   e^-as/s

Now let's use these lookup tables and the properties of the Laplace transform to calculate the Laplace transform f(s) of some sample functions:

Example 1: f(t) = 3t^2

Using the Laplace transform lookup table, we can find that the Laplace transform of t^n is n!/s^(n+1). Therefore, the Laplace transform of 3t^2 is:

f(s) = 3/s^3

Example 2: f(t) = e^-4t

Using the Laplace transform lookup table, we can find that the Laplace transform of e^-at is 1/(s+a). Therefore, the Laplace transform of e^-4t is:

f(s) = 1/(s+4)

Example 3: f(t) = 2sin(3t)

Using the Laplace transform lookup table, we can find that the Laplace transform of sin(at) is a/(s^2+a^2). Therefore, the Laplace transform of 2sin(3t) is:

f(s) = 6/(s^2+9)

Example 4: f(t) = u(t-2)

Using the Laplace transform lookup table, we can find that the Laplace transform of u(t-a) is e^-as/s. Therefore, the Laplace transform of u(t-2) is:

f(s) = e^-2s/s

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Answer:

$25.75

Step-by-step explanation:

$30.00 - $4.25 = $25.75

Answer:

49.7 mph

Step-by-step explanation:

divide the length value by 1.609

A union of two sets does not necessarily need to have more elements than either set. It can have the same elements, more elements, or fewer elements than either set.

No, she is not correct. A union of two sets does not necessarily need to have more elements than either set. A union is the combination of two sets, combining the elements of both. It could have the same elements as either set A or set B, or it could have more or fewer elements than either set.

A union of two sets does not necessarily need to have more elements than either set. It can have the same elements, more elements, or fewer elements than either set.

The complete question :

Lena says that a union b must always have more elements than either a or b. Is she correct? Explain.

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Answer:

\(x=y-22\)

Step 1:

In order to solve this equation, we must subtract the y on both sides so the y could be cancelled out on the left and could move to the right side of the equation.

\(y=3x+22-2x\\=-y+3x+22-2x\)

Step 2:

Then, we add 2x on the right side of the equation to cancel out the -2x and bring it to the left of the equation, where the y was before.

\(=-y+3x+22-2x\\2x=-y+3x+22\)

Step 3:

Then, we do the same thing with 3x: subtract it from the right side and add it to the 2x, which becomes -x.  

\(2x=-y+3x+22\\2x-3x=-y+22\\-x=-y+22\)

Step 4:

Finally, we divide all the numbers by -1 to get our final answer! Reminder: we are doing all this because we have to isolate the x, since we are solving for x.

\(-x=-y+22\\\frac{-x}{-1} =\frac{-y}{-1}+\frac{22}{-1} \\x=y-22\)

Our answer is x = y - 22. Hope this helps!

Answer:

answer: x=y-22

Step-by-step explanation:

first subtract y from both sides. then, add -2x on both sides and subtract 3x from the right so the 2x will be -x. divide everything by a - and the answers x=y-22

Integer Numbers

It can be defined as the number that can be written without a fractional (decimal) component.

Integers can be positive, negative, or 0.

From the numbers on the list only -4, 0, and 2 are integers. The rest of the numbers cannot be written without a decimal component.

For example:

-2/3 = -0.666

π = 3.14

The square root of 6 is 2.45

4.111... has an evident decimal component.

Answer: -4, 0, and 2

Answer:

C. To make predictions about the values of y for a given​ x-value (I THINK)

Answer: ITS A! I HAVE THE SAME TEST!

Step-by-step explanation:

Answer:

346789

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

I'm pretty sure. hope this helped <3 also I LOVE UR PFP ;)

Answer: B

Step-by-step explanation:

What you are actually paying is 100%-20% = 80%

So it's 80% of the price =

.8p

The solution to the expression is x = -1/4

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

64x^3 + 1 = 0

We can start solving this equation by rearranging it to isolate the variable x:

64x^3 + 1 = 0

64x^3 = -1

x^3 = -1/64

Now we can take the cube root of both sides to find x:

x = -1/4

Hence, the solution is -1/4

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Answer:

The lowest rate is $5.00 for 4.

Step-by-step explanation:

To determine the lowest rate, we need to calculate the cost per item. For the first option, $6.20 for 4, the cost per item is $1.55 ($6.20 divided by 4). For the second option, $5.50 for 5, the cost per item is $1.10 ($5.50 divided by 5). For the third option, $5.00 for 4, the cost per item is $1.25 ($5.00 divided by 4). Finally, for the fourth option, $1.15 each, the cost per item is already given as $1.15.

Therefore, out of all the options given, the lowest rate is $5.00 for 4.

If you multiply 256 by 10 powered by k, then the number of zeros in the product is k

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According to the given statement of the Nolan bought 5 pounds of turnips.

To find out how many pounds of turnips Nolan bought, we need to calculate the weight of the turnips. We are given that the bag of parsnips weighed 2 1/2 pounds.
The weight of the turnips is 5 times the weight of the parsnips. To find the weight of the turnips, we can multiply the weight of the parsnips by 5.
2 1/2 pounds can be written as 2 + 1/2 pounds.
To multiply a whole number by a fraction, we multiply the whole number by the numerator and divide by the denominator.
So, 2 * (1/2) = 2/2 = 1
Therefore, the parsnips weigh 1 pound.
Now, we can calculate the weight of the turnips by multiplying the weight of the parsnips (1 pound) by 5.
1 pound * 5 = 5 pounds.
Therefore, Nolan bought 5 pounds of turnips.

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The weight of the parsnips that Nolan bought is 2 1/2 pounds. To find out how many pounds of turnips Nolan bought, we need to multiply the weight of the parsnips by 5, since the turnips weigh 5 times as much as the parsnips. Nolan bought 12 1/2 pounds of turnips.

First, we need to convert the mixed number 2 1/2 to an improper fraction. To do this, we multiply the whole number (2) by the denominator (2) and add the numerator (1). This gives us 5 as the numerator, and the denominator remains the same (2). So, 2 1/2 is equal to 5/2.

Now, let's multiply the weight of the parsnips (5/2 pounds) by 5 to find the weight of the turnips. When we multiply a fraction by a whole number, we multiply the numerator by the whole number and keep the denominator the same.

So, 5/2 multiplied by 5 is (5 * 5) / (2 * 1) = 25/2 = 12 1/2 pounds.

Therefore, Nolan bought 12 1/2 pounds of turnips.

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