What trigonometric expression can be used to find the value of x? Replace a and b with the correct values.

Answer: (3, -3)

Step-by-step explanation:

You substitute each point into the function and see if it fits:

(-2, -1) ⇒ -2(-2) + 3 = 4 + 3 = 7 ≠ -1

(3, -3) ⇒ -2(3) + 3 = -6 + 3 = -3

(3, 3) ⇒ -2(3) + 3 = -6 + 3 = -3 ≠ 3

(-3, -9) ⇒ -2(-3) + 3 = 6 + 3 = 9 ≠ -9

As per the given data the required answer is 9............

The volume of this whole figure is the sum of the volume of a cylinder and the volume of a cone. The formula would be:

Given,

radius of cylinder and cone: r = 2 (diameter is given as "4" and we know radius is half of diameter, so 4/2 = 2)

height of cylinder is 7

height of cone = 6

Substituting into the formula, we get (we use "3" for pi):

The volume is:

Answer:

The correct equation that represents the relationship between b and f is:

Ob = (3/2)f

Explanation:

We know that Priya uses 4 cups of flour to make 3 loaves of banana bread.

So, the amount of flour required per loaf of bread is 4/3 cups.

Now, if Andre makes b loaves of bread using f cups of flour, then the amount of flour required per loaf of bread is f/b cups.

We can set up a proportion as follows:

4/3 = f/b

Cross multiplying, we get:

4b = 3f

Dividing both sides by 3, we get:

b = (3/4)f

This means that Andre can make (3/4) loaves of bread per cup of flour.

But the question asks for the relationship between b and f, so we need to rearrange the equation:

b = (3/4)f

Multiplying both sides by (2/3), we get:

(2/3)b = (1/2)f

Simplifying, we get:

Ob = (3/2)f

Therefore, the correct equation that represents the relationship between b and f is Ob = (3/2)f.

The linear inequality represented by the given graph in the attached image is y > -3x + 6.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The graph of the linear inequality. Let's pick two points from the graph to frame the linear equation

The slope-intercept form of the equation is Where m is the slope and b is the y-intercept is (0,6) from the graph so b=6.

Find out slope m by using the general formula. Pick two points (0,6) and (2,0).

Slope = ( y₂ - y₁)  / ( x₂ - x₁ )

Slope = ( 0 - 6 ) / ( 2 - 6 )

Slope = -3

m = -3

So the equation is y = -3x + 6

Now we check the inequality sign by testing any point on the shaded area let's pick (4,0). let's plug in 4 for x  and 0 for y

y= -3x + 6

0 = -3(4) + 6

0 > -6

Inequality:  y > -3x + 6.

Therefore, the inequality represented by the given graph is y > -3x + 6.

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Answer: y≥4x−6

Step-by-step explanation: I took the test and this was the right answer for me.

Answer:

x = 45

Step-by-step explanation:

Note that:

The sum of the interior angles of a quadrilateral is 360°.

Angle: ADC+BAD+ABC+BCD = 360°

Thus, Substitute  ∠ABC = 3x, ∠BAD = (2x-5) , ∠ ADC = (x+15), ∠ BCD = 80 turn into ADC+BAD+ABC+BCD = 360° :

Also known as :

(x+15) +(2x-5) + 3x+80=360

Solving for x

Add the numbers

x + 90+2x+3x=360

Combine like terms

6x + 90=360

subtract 90 from both sides

6x = 270

x = 45

Hence the value of x = 45

Kavinsky

Answer:

C. 45

Step-by-step explanation:

1) Sum of the interior angles of any shape:

(n - 2) x 180, where n is the number of vertices of a shape. In this case, we have 4 vertices.

= (4 - 2) x 180

= 2 x 180

= 360°

2) Add all the given values equating to 360.

2x - 5 + 3x + 80 + x + 15 = 360

6x + 90 = 360

6x = 360 - 90

6x = 270

x = 270/6

x = 45

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Answer:

\(\frac{1}{32} yards^{3}\)

Step-by-step explanation:

\(V=w*h*l\)

↓

\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)

=

\(\frac{1}{32} yards^{3}\\\)

Hope this helps!

Answer:

c

Step-by-step explanation:

im 95% sure

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer:

three seconds

It takes three seconds for the ball to hit the ground.

Note: On Earth, it would take a little over nine seconds for the ball to fall back to the ground.

Step-by-step explanation:

Pie graphs can be used to display percentages of an entire group and depict percentages at a certain moment. Customers contacted via the web = x(let) then.as a result, customers contacted online (chart = x = 100), 25 customers were reached by social media, or x/4

Pie charts can be used to show percentages for the whole group or for a specific time period.

In contrast to bar and line graphs, pie charts do not show changes over time.

The following pages provide descriptions of the various pie chart elements.

Since the slices of a pie chart represent different parts of the whole, their sum must always equal 100%.

Number of customers overall = 250 clients were contacted via email for every 500 customers contacted via phone, or 50% of phone contacts.

=(50÷100)×250

=125

Customers reached via social media

= total customers + 250 + 125 + x+1 = 500 x+1

=125 × 5

T=125

x=100.

Customers contacted via the web = x(let) then.

as a result, customers contacted online (chart = x = 100)

25 customers were reached by social media, or x/4

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f(x, y) = 3x + 2y + C

To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.

The gradient of the function f(x, y) is given by

∇f(x, y) = (∂f/∂x, ∂f/∂y)

If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:

F(x, y) = ∇f(x, y)

Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.

∂F/∂x = ∂(6x + 5y)/∂x = 6

∂F/∂y = ∂(5x + 4y)/∂y = 4

The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).

To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.

f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy

= ∫6dx + ∫4dy

= 3x + 2y + C

where C is the constant of integration. So the potential function for a given vector field is

f(x, y) = 3x + 2y + C

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Answer:

Greetings!

The answer for the first figure is attached but the second diagram is not clear.

Also use the image i attached horizontally.

and also it TD subject not Mathematics.

Answer:

x > 10

Step-by-step explanation:

the dot isn't filled, meaning x can't equal 10. it goes up, meaning x is greater than 10 :) hope this helps

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

The complete Cantor expansions are:

3 = 1(3!) + 1(2!) + 1(1!)

104 = 1(5!) + 0(4!) + 0(3!) + 0(2!) + 0(1!)

65 = 1(4!) + 1(3!) + 1(2!) + 1(1!)

What is the factorial?

The factorial of a number is the product of all the integers from 1 to that number. For example, the factorial of 6 is 1*2*3*4*5*6 = 720. Factorial is not defined for negative numbers, and the factorial of zero is one, 0!

(a) To find the Cantor expansion of 3, we start by finding the largest factorial less than or equal to 3, which is 2!.

We can fit at most two copies of 2! into 3, so the coefficient of 2! is either 0, 1, or 2. We have 3 - 2! = 1 left, which is simply 1!:

3 = 1(3!) + 1(2!) + 1(1!)

(b) To find the Cantor expansion of 104, we start by finding the largest factorial less than or equal to 104, which is 5!.

We can fit at most one copy of 5! into 104, so the coefficient of 5! is either 0 or 1. We have 104 - 5! = 104 - 120 = -16 left, which is negative, so we can't use any copies of 4!, 3!, 2!, or 1!:

104 = 1(5!) + 0(4!) + 0(3!) + 0(2!) + 0(1!)

(c) To find the Cantor expansion of 65, we start by finding the largest factorial less than or equal to 65, which is 4!.

We can fit at most one copy of 4! into 65, so the coefficient of 4! is either 0 or 1. We have 65 - 4! = 65 - 24 = 41 left, so we can fit one copy of 3! into the remaining amount.

We have 41 - 3! = 41 - 6 = 35 left, so we can fit one copy of 2! into the remaining amount.

Finally, we have 35 - 2! = 35 - 2 = 33 left, so we can fit one copy of 1! into the remaining amount:

65 = 1(4!) + 1(3!) + 1(2!) + 1(1!)

Hence, the complete Cantor expansions are:

3 = 1(3!) + 1(2!) + 1(1!)

104 = 1(5!) + 0(4!) + 0(3!) + 0(2!) + 0(1!)

65 = 1(4!) + 1(3!) + 1(2!) + 1(1!)

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it’s letter B. your welcomeeee

The radical expressed using the imaginary unit i  is ±(√77)*i  .

The iota(i) is an imaginary unit number that is denoted by i and the value of iota(i) is √-1  , that is √-1 = i .

In the question,

it is given that

the the radical expression is ±√-77 , we have to express it using the imaginary unit (i) .

So , ±√-77 can be written as

= ±√(-1 × 77)

= ±√-1 × √77

Substituting the value of i that is  √-1 = i ,

we get

= ± i * √77

= ±(√77)*i

Therefore ,The radical expressed using the imaginary number i  is ±(√77)*i .

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9514 1404 393

Answer:

  C.  (4, -7)

Step-by-step explanation:

The first equation gives an expression for y that can be substituted into the second:

  4x +3(2x -15) = -5

  10x -45 = -5

  10x = 40

  x = 4 . . . . . . identifies C as the appropriate choice

  y = 2(4) -15 = -7 . . . . confirms the choice

Answer:

Step-by-step explanation:

To write an equation for a circle, we need to find the center and the radius.  We need to find the distance between the two endpoints to find the radius.  To do that, use the distance formula:

d = √(2 - 5)² + (1 + 3)²

√(-3)² + (4)²

√9 + 16 = √25 = 5

If the diameter is 5, the radius is 2.5

Now we need to find the center/midpoint.  Use the midpoint formula:

(5 + 2)/2, (-3 + 1)/2

7/2, -2/2

(3.5, -1)

Now that we have the center and the radius, we can make our equation.  Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²

(x - 3.5)² + (y + 1)² = 6.25

Hope this helps

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

To determine the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\), we need to consider the situation and the constraints given.

The function A(t) represents the area of the rectangular garden as a function of the length of one of its sides, which is denoted by t.

We are also told that Marama plans to fence the garden with 28 feet of wired fencing.

Now, let's break down the problem and find the appropriate values for the domain.

We know that the perimeter of a rectangle is the sum of all its sides. In this case, since we have a rectangular garden, the perimeter can be represented as:

\(Perimeter = 2t + 2w\),

where t is the length of one side (the width) and w is the length of the other side (the width).

The problem states that Marama plans to use 28 feet of wired fencing. Therefore, the perimeter of the garden must equal 28 feet:

\(2t + 2w = 28\).

Simplifying this equation, we have:

\(t + w = 14\).

We can express w in terms of t as \(w = 14 - t\).

The area of a rectangle is given by the product of its length and width:

\(Area = t \times w\).

Substituting the expression for w from step 2, we have:

\(A(t) = t \times (14 - t)\).

Simplifying further:

\(A(t) = 14t - t^2\).

To determine the appropriate values of the domain, we need to consider the context of the problem. Since we are dealing with a physical garden, both the length and width must be positive numbers. Additionally, the values of t must be feasible given the constraints of the perimeter.

We know that \(t + w = 14\), so \(t + (14 - t) = 14\), which simplifies to \(14 = 14\).

This shows that the value of t can range from 0 to 14, inclusive.

Therefore, the appropriate values of the domain for the graph of the function \(A(t) = -t^2 + 14t\) are \(t \epsilon [0, 14]\).

To illustrate this graphically, we can plot the function \(A(t) = -t^2 + 14t\) and mark the appropriate values of the domain on the x-axis (representing t):

   ^

   |

A(t)|

   |

   |_______________________________

   0              t             14

The domain for the function is the interval [0, 14], which represents the feasible values for the length of one side of the rectangular garden.

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Answer:

so, if 10 men can do it In 30 days, that means a total of 300 "man days".

300 man days divided by 25 days would be 12- so 2 more men.

Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer:

1. How much profit would the restaurant make by selling 100 burritos?

Answer: The restaurant would make $550

2. How much money would the restaurant take in by selling 100 burritos

Answer: The restaurant would take in $800

Step-by-step explanation:

First we have to add all the negatives.

-1.50 + -1.00

= -2.50

Now that we have that, we just need to multiply both the 8 dollars and the -2.50 by 100.

8 * 100 = 800

-2.50 * 100 = -250

Now we have the answer for the second question.

The restaurant would take in $800 before the cost of the ingredients.

But now we need to find the profit. (Which is the amount of money they made minus the cost of the ingredients and meat)

800 - 250 = 550

So the restaurant will make $550 in profit.

Hope this helped! :D

Answer:

$550

Step-by-step explanation: