For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at 50 km/hr.

Answer:

ax^2 + bx + c = 0

Step-by-step explanation:

a, b, are the coefficients, c is the constant term, and x is the variable

Hope that helps

The vertex form of Parabola is y= 1/4(x + 2)² -4 .

The general equation of a parabola is given by y = a(x – h)² + k or

x = a(y – k)² +h. Here (h, k) is vertex.

Given:

focus at (–2,–3) and a directrix at y = –5.

We know, the standard form is (x - h)² = 4p (y - k),

where the focus is (h, k + p) and the directrix is y = k - p

So, (h, k + p) = (-2, -3)

h = -2, k + p = -3

Directrix is y = k - p:

k - p = -5

k + p = -3

so, 2k = -8

k = -4

and, p = -3+ 4 = 1

Thus, the vertex is at (-2, -4) and p = 1, the equation is:

(x + 2)² = 4(y+  4)

1/4(x + 2)² =  y+4

y= 1/4(x + 2)² -4

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The slope of the line passing through the points (2,-5) and (4, 1) is 3.

       m = Δy/Δx  = change in y/change in x

where "m" represents a line's slope.

Given, the points of the line are (2, -5) and (4, 1).

Now, to calculate the slope of the line passing through the two points.

Using the formula, one may get the slope of the line connecting the points

Slope, m = y₂ - y₁ / x₂ - x₁

So, m = ( 1 - (-5)) / (4 - 2)

         =  6/2

         = 3

So, the slope of the line is 3.

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Answer:

the person above is right it's 4.5 units

give them the crown

Answer:

8.5

Step-by-step explanation:

1/9=0.1111111111111

0.1111111111111=0.1

83=80 or 85

0.1*85=8.5

Answer:

A.24

Step-by-step explanation:

that is the.value of x

Answer:

(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)

(8x + 12)⁰= 180⁰

8x = 168⁰

x = 21

Hope it helps u

Answer:

What’s the problem? If you could attach the problem we can help u out!

Step-by-step explanation:

We get the value  (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)

Given,

In the question:

A binary operation * on the set R of real numbers is defined by

a*b = a/b + b/a

where a and b belong to R.

To solve the (x+1)*2=3.

Now, According to the question:

a*b = a/b + b/a

x +1 *2 = 3

x +1/2 + 2/x+1 = 3

\((x+1)^2\) + 4 = 6(x+1)

\(x^{2}\) +2x +1  + 4 = 6x + 6

\(x^{2}\) + 2x - 6x + 1 - 6 + 4 = 0

\(x^{2}\) - 4x - 5  + 4 = 0

\(x^{2}\) - 4x + 4  = 5

\((x - 2)^2 = 5\)

(x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)

Hence,  We get the value  (x - 2) = \(\sqrt{5}\) or (x - 2) = -\(\sqrt{5}\)

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We can set up an equation and solve it for the input. If the output is A, then we will get:

x = A/4 - 3/16

Let's say that we know that the output is f(x) = A, then we can write the equation:

A=  4x + 3/4

Now we can solve that for x.

A = 4x + 3/4

A - 3/4 = x

(A - 3/4)/4 = x

A/4 - 3/16 = x

That is the input for the given output.

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Answer:

50

Step-by-step explanation:

total weight=75 pounds

each bag weighed 1 1/2 pound=3/2 pound

no. of lunches=total weight/weight of each lunch

=75/(3/2)

=75*2/3

=50lunches

Answer:

50

Step-by-step explanation:

You need to divide 75 lb by 1 1/2 lb.

\( 75 \div 1 \frac{1}{2} = 75 \div \dfrac{3}{2} = \dfrac{75}{1} \times \dfrac{2}{3} = \dfrac{150}{3} = 50 \)

Answer: 50

Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Answer:

-5p+99

Step-by-step explanation:

Original Equation;

3(p - 29) - 4(2p - 39 -5)

★First Step: Multiply the number 3 by p and -29 which is in the first term so it's going to be;

3 multiplied by p and 3 multiplied by -29

3p - 87

★Second step: Add the -39 and -5 which is going to give you -44 because - + - is = -

-44

★Third step: Multiply -4 by 2p and -44 so it's going to be;

-4×2p=-8p and -4×-44=176 we have positive 176 because - × - = +

★Fourth Step: Remove brackets

So it's going to be;

3p - 87 -8p +176

★Then you combine like terms

3p - 8p - 87 +176

-5p + 99

3(p-29)-4(2p-39-5)

3p-87-4(2p-44)

3p-87-8p+176

3p-8p-87+176

-5p+99

The equation explaining the relationship between line segment AC and line segment A"C" is: y_A"C" = y_AC.

To determine the relationship between line segment AC and line segment A"C" in the given transformation, let's consider the properties of translation and dilation.

Translation:

A translation moves an object in a specific direction by a given distance. In this case, the translation (x + 0, y + 2) means that every point of the original triangle A'B'C' is shifted vertically upward by 2 units. So, A' becomes A" when shifted vertically by 2 units.

Dilation:

A dilation scales an object by a certain factor while keeping the same center of dilation. The scale factor of 2 means that every point is multiplied by 2 in both the x and y coordinates. Since the center of dilation is the origin (0, 0), the origin remains fixed.

Considering these transformations, we can deduce the following:

1. Translation: (x, y) ⟼ (x, y + 2)

2. Dilation: (x, y + 2) ⟼ (2x, 2(y + 2))

Applying the dilation to the translated point A", we get:

A" = (2x, 2(y + 2))

Now, we can determine the equation that relates line segment AC and line segment A"C" by comparing their coordinates:

The coordinates of A are (x, y), and the coordinates of C are (0, y) since it is a vertical line segment.

The coordinates of A" are (2x, 2(y + 2)), and the coordinates of C" are (0, 2(y + 2)).

The slope between A and C is given by:

m_AC = (y - (y + 2)) / (x - 0) = -2 / x

The slope between A" and C" is given by:

m_A"C" = (2(y + 2) - (2(y + 2))) / (2x - 0) = 0

Since the slope between A" and C" is zero, it indicates that line segment A"C" is a horizontal line. There is no change in the y-coordinate, implying that the y-value of A" and C" remains the same.

In other words, the y-coordinate of A"C" is equal to the y-coordinate of AC.

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The probable question may be:
Triangle A″B″C″ is formed using the translation (x + 0, y + 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line segment AC and line segment A"C"?

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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Step-by-step explanation:

Circumference

C = 3.14x3

C = 9.42cm

Area

A = 3.14xr²

A = 3.14x25

A = 78.5ft

Answer:

5pi/12

105 degrees

Step-by-step explanation:

I can help with the first 2 too many answers in one will get my answer deleted

7pi/12  x 180/pi

7x15=105

Hopes this helps please mark brainliest

The meters of tape left in the roll will be equal to 1/5 meters.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

The total length of Tape = 5 m

Total number of pieces = 6

Length of each piece = 4/5 m

Then, the total length of the pieces will be,

6 × 4/5

= 24/5

Then, the amount of tape left in the roll will be,

= 5 - 24/5

= (25 - 24)/5

= 1/5

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Both representations are equivalent and describe the same function.the function rule for this table is:   f(x) = -1/2 x 2

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. A slope of a line is the change in y coordinate with respect to the change in x coordinate.

To write a function rule for a given array, we need to determine how the values ​​in the output column (y) relate to the values ​​in the input column (x).

Looking at the given data, we notice that the output values ​​decrease by 1 every time the input value increases by 2. This suggests that the function is linear and that we can use the slope-intercept form of a linear equation to represent it. .

The slope-intercept form of a linear equation is y = mx b, where m is the slope and b is the y-intercept. In this case, the slope m is -1/2 because the output values ​​decrease by 1 every time the input values ​​increase by 2. The y-intercept b is 2 because the output value is 2 when the input value is 0.

Therefore, the function rule for this table is:

f(x) = -1/2 x 2

where x is the input value and f(x) is the output value.

Alternatively, we can also represent the function in table entries, for example:

f(0) = 2

f(2) = 1

f(4) = 0

f(6) = -1

Both representations are equivalent and describe the same function.

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Answer:

A

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

"Employee #1" took test 2023

There 9% represent babies born with a birth defect, and 09-99(9%) to represents babies without birth defects.

The percentage is defined as a ratio expressed as a fraction of 100.

According to one study, 45 out of every 500 babies born in the world have a serious birth defect.

Use two-digit numbers 00-99; let 00- represent babies born with some kind of major birth defect.

p = x/n

p = 45/500

p = 0.9 = 9%

So, the simplest way to assign random numbers to conduct a simulation based on this statistic, it can use 00-99(9%) to represent babies born with a birth defect, and 09-99(9%) to represent babies without birth defects.

Hence, the correct answer would be an option (B).

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Step-by-step explanation:

the numbers of the problems =

12 × 25 = 300

each minute he can answer 2 problems

therefore, the time that he expect to finish the problems =

300/2 × 1 minute = 150 minutes

= 2 hours and 30 minutes

2 questions he can solve 1 min

per question he need 1/2min or 0.5min

Now

Total problems

Total time

Answer:

Step-by-step explanation:

45

Answer:

look for the factors for the expression

8x^2-x-24x+3

x(8x-1)-3(8x-1)

(8x-1)(x-3)

Answer:

x = -1

Step-by-step explanation:

6+4 = 10

14-10 = 4

2x + 6 = 4

2x (-2) = -2

-2 + 6 = 4

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …

Answer:

Step-by-step explanation:

A) 120 / 2 = 60°

B) 180 - 90  60 = 30°

C) 60° same as arc length GE in part A above

D) 9 units = Rsinθ = 18sin30