What is the slope of the line shown in the graph? (4 points) A. 3/-2 B.1/-2 C. 3/2 D. undefined

Answer:

C

Step-by-step explanation:

Point C would be located in quadrant 1, as it has an ordered pair value of (3,5)

Answer:

2^4·3²·5²  = 3600

Step-by-step explanation:

Solve for u using the equation -7u - 5 = 2

Now that we know the value of u, substitute it to the expression 2u + 7.

The amount of pizza should be:

The maximum daily profit is $1,200

Let:

x be the number of small pizzas produced

y be the number of large pizzas produced

The problem can be formulated as follows:

Objective function:

To maximize the profit. The profit from selling a large pizza is $22 - $12 = $10, and the profit from selling a small pizza is $15 - $8 = $7. So the total profit can be expressed as:

Profit = 10x + 7y

Constraints:

x ≤ 40 (limited freezer space for small pizzas)

y ≤ 60 (limited freezer space for large pizzas)

x + y ≥ 70 (enough workers to prepare at least 70 pizzas)

8x + 12y ≤ 800 (cost constraint)

Solving the problem using linear programming:

Corner point (0, 70): Profit = 10(0) + 7(70) = $490

Corner point (20, 50): Profit = 10(20) + 7(50) = $1,200

Corner point (60, 10): Profit = 10(60) + 7(10) = $610

x = 20

y = 50

maximum daily profit = $1,200

Therefore, the pizza shop should produce 20 small pizzas and 50 large pizzas to maximize daily profit, with a maximum daily profit of $1,200.

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Answer:

  C  √(5/(x-1))

Step-by-step explanation:

You want the simplified quotient √(25(x-1)) ÷ √(5(x -1)²).

The quotient is simplified by cancelling common factors from numerator and denominator.

  \(\dfrac{\sqrt{25(x-1)}}{\sqrt{5(x-1)^2}}=\sqrt{\dfrac{25(x-1)}{5(x-1)^2}}=\sqrt{\dfrac{5\cdot5(x-1)}{(x-1)\cdot(5(x-1)}}=\boxed{\sqrt{\dfrac{5}{x-1}}}\)

__

Additional comment

The radicand must be positive, so the domain is x > 1.

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Answer:

let cow=x and chickens =y

cows have 4 legs, 4x. chickens have 2 legs, 2y

Answer:

a= 15 cows b= 27 chickens c= none, he is not an animal.

Step-by-step explanation:

cows have four legs

chickens have two

15 cows = 60 legs

27 chickens = 54 legs

60+54 = 114

please make me the brainliest if you find this helpful :)

The amount of money in Sam's account in 2016, after investing $3,890 with an annual interest rate of 4.8% compounded annually, can be approximated as $3,890 multiplied by 1.048 raised to the power of 17. It can be calculated as approximately $7,536.48

To calculate the amount of money in Sam's account in 2016, we need to consider the annual compounding interest. The formula to calculate the future value of an investment with compound interest is:

\(\[A = P \left(1 + \frac{r}{n}\right)^{n(t-t_0)}\]\)

Where:

\(A\) is the future value of the investment

\(P\) is the principal amount (initial investment)

\(r\) is the interest rate (in decimal form)

\(n\) is the number of times interest is compounded per year

\(t\) is the number of years

\(\(t_0\)\) is the initial year

Given that Sam's initial investment is $3,890 in 1999, the interest rate is 4.8% (0.048 in decimal form), and interest is compounded annually, we can plug these values into the formula:

\(\[A = 3890 \left(1 + \frac{0.048}{1}\right)^{(2016-1999)}\]\)

Simplifying the equation, we find:

\(\[A \approx 3890 \times (1.048)^{17}\]\)

It can be calculated as approximately $7,536.48

Therefore, The amount of money in Sam's account in 2016, after investing $3,890 with an annual interest rate of 4.8% compounded annually, can be approximated as $3,890 multiplied by 1.048 raised to the power of 17. It can be calculated as approximately $7,536.48.

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Answer:

95

Step-by-step explanation:

Formula -

Triangle Area - 1/2bh

Square - l x w

Triangle - 5 x 7 = 35/2 = 17.5

Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70

Square  - 5 x 5 = 25

Now we add both 70 and 25 which is 95

So the total surface area is 95

Answer:

95

Step-by-step explanation:

Area of the triangles:

Area of a square:

Put them together:

I hope this helps!

To find an equation of a plane through a given point and perpendicular to a given line, you can follow these steps:

1. Find the direction vector of the given line. This can be done by subtracting the coordinates of any two points on the line. Let's denote this vector as "d".

2. Find the normal vector of the plane. Since the plane is perpendicular to the line, its normal vector will be the same as the direction vector of the line. So, the normal vector of the plane is "d".

3. Use the coordinates of the given point on the plane to find the equation of the plane. Let's denote the coordinates of the point as (x₀, y₀, z₀).

The equation of the plane can be written as:

Ax + By + Cz = D,

where A, B, C are the components of the normal vector "d", and x, y, z are the variables representing any point on the plane.

To find the values of A, B, C, and D, substitute the coordinates of the given point into the equation:

A(x₀) + B(y₀) + C(z₀) = D.

Therefore, the equation of the plane through the given point and perpendicular to the line is:

d₁(x - x₀) + d₂(y - y₀) + d₃(z - z₀) = 0,

where (d₁, d₂, d₃) are the components of the direction vector "d" of the line, and (x₀, y₀, z₀) are the coordinates of the given point.

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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.

Answer:

D' = ( 1 , -1 )

Step-by-step explanation:

2 times 1/2 = 1

-2 times 1/2 = -1

hope this helps ^^

the slope of the line will be

The given transformation of a function f(x) - 15 and 15 f(x) represents "f(x) is translated 15 units down and f(x) is vertically stretched by a factor of 15" respectively.

The translation transformation rule for a function is

1) f'(x) = f(x) + a; Vertical translation by 'a' units up.

f'(x) = f(x) - a; Vertical translation by 'a' units down.

2) f'(x) = f(x + a); horizontal translation by 'a' units left

f'(x) = f(x - a); horizontal translation by 'a' units right.

The dilation transformation rule for a function is

1) f'(x) = a f(x);

If a > 1, vertical stretch by a factor of 'a' units

If 0 < a < 1, vertical compression by a factor of 'a' units

2) f'(x) = f(ax);

If a > 1, horizontal compression by a factor of 'a' units

If 0 < a < 1, horizontal compression by a factor of 'a' units.

It is given that f(x) represents the linear parent function.

The transformed functions are given as

f(x) - 15 and 15 f(x)

The transformation f(x) - 15 is a vertical translation of the function f(x) by 15 units down.

The transformation 15 f(x) is a vertical stretch by a factor of 15 units.

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Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Using the recursion equation, it is found that the value of the 2nd iterate is:

\(x_2 = 3.16228\)

The value of the nth iteration is given by:

\(x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}\)

The initial estimate is:

\(x_0 = 3.1\)

Hence, the 1st iterate is given by:

\(x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629\)

The 2nd iterate is:

\(x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228\)

Thus, the fourth option is correct.

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Answer:

 35x - 2

 ———————

    5                  

i hope this helps

Step-by-step explanation:

Answer:

7x + 6/5 or 7x + 1 1/5

Step-by-step explanation:

Ya welcome.

Answer:

  see attached

Step-by-step explanation:

The formulas given work perfectly.

It might help you to think of the tax rate as a percentage. For example, $2.37 per $100 is a rate of 2.37/100 = 0.0237 = 2.37%

Each dollar value is the product of the previous two columns.

  $400,000 × 0.19 = $76,000; $76,000 × 0.0237 = $1801.20 (tax)

  $235,000 × 0.10 = $23,500; $23,500 × 0.0993 = $2333.55 (tax)

  $215,000 × 0.15 = $32,250; $32,250 × 0.1240 = $4000.00 (tax)

__

Where the rates are missing (as on the third line), they can be found by dividing the dollar value on the right of it by the dollar value on the left of it.

  32,250/215,000 = 0.15 = 15%

  4000/32,250 = 0.1240 = $12.40 per $100

_____

Additional comment

To get a tax of exactly $4000 on the last line, the tax rate needs to be specified to 4 decimal places: $12.4031 per $100. Otherwise the value rounds to something less than $4000.

The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).

To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.

The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.

Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.

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Answer:

0.4%

Step-by-step explanation:

If we are looking to have a number less than 3 rolled 4 out of 7 times.

Our winning numbers are 1 and 2. Our losing numbers are 3, 4, 5, and 6.

This means that our winning percentage is 33.3% and our losing percentage is 66.6%.

We need to multiply these numbers together taking our number of rolls into account.

.333 * .333 * .333 * .333 * .666 * .666  * .666 = 0.0036

The half-life of a radioactive substance is the time it takes for half of the substance to decay. After \(10^6\) years, 1/4 of the substance will remain.

The half-life of a radioactive substance is the time it takes for half of the substance to decay. In this case, the half-life is 4.5 × \(10^5\) years.

To find out what fraction of the substance remains after \(10^6\) years, we need to determine how many half-lives have occurred in that time.

Since the half-life is 4.5 × \(10^5\) years, we can divide the total time (\(10^6\) years) by the half-life to find the number of half-lives.

Number of half-lives =\(10^6\) years / (4.5 × \(10^5\) years)

Number of half-lives = 2.2222...

Since we can't have a fraction of a half-life, we round down to 2.

After 2 half-lives, the fraction remaining is (1/2) * (1/2) = 1/4.

Therefore, after \(10^6\) years, 1/4 of the substance will remain.

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Answer:

0.75

Step-by-step explanation:

your welcome

Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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The complete statements are:

The complete question is added as an attachment

The roots are given as:

x = 0 second

and

x = 9.8 seconds

x = 0 implies that the height of the arrow was 0 meters above his bow after 0 seconds

x = 9.8 implies that  it takes approximately 9.8 seconds for the arrow to return to the height of the bow.

The x-value of the vertex is

x = (0 + 9.8)/2

Evaluate

x = 4.9

Approximate

x = 5

This means that the vertex is approximately 5 seconds

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Answer:

0.06

Step-by-step explanation:

To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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Answer:

y=-4

Step-by-step explanation:

graph each equation or solve by elimination/subtitution. Easiest way is using Desmos graphing calculator

To solve the given system of differential equations, we can use the substitution method to obtain first-order linear differential equations and solve them for x and y. Alternatively, we can apply the operator method to rewrite the system as a second-order linear differential equation.

To solve the given system of differential equations using three different methods - substitution method, operator method, and eigen-analysis method - we start by representing the system in matrix form: Let X = [x y]' and X' = [x' y']'. The given system can be written as: X' = A * X + B, where A is the coefficient matrix and B is the vector of constants.

Substitution Method:

In this method, we substitute the expressions for x' and y' from the given system into the equations and solve for x and y. By substituting the given expressions, we obtain two first-order linear differential equations. We can then solve these equations using standard methods such as separation of variables or integrating factors to find the solutions for x and y.

Operator Method:

The operator method involves defining operators D = d/dt and E = d/de, where t is the independent variable and e is the exponential function. We can rewrite the given system as a single second-order linear differential equation in terms of these operators. By manipulating the equations using operator algebra, we can find the characteristic equation and the solutions for x and y.

Eigen-analysis Method:

The eigen-analysis method involves finding the eigenvalues and eigenvectors of the coefficient matrix A. By calculating the eigenvalues, we can determine the type of critical points in the system. The eigenvectors corresponding to the eigenvalues provide the basis for the solutions. Using the eigenvalues and eigenvectors, we can construct the general solution for the system. Lastly, the eigen-analysis method helps us determine the critical points and construct the general solution using eigenvalues and eigenvectors.

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Answer:

The area should be 132 ft

Step-by-step explanation: