PLEASE HELP
Which of the following values for X will make relation A shown below, a function?


A=(5,3),(4,9),(7,2),(x,6)


3

4 (I know 4 is wrong)

5

7

Answer:

5

-----

0.4 | 2

- 0

2.0

- 1.6

-----

4

a. The demand equation is p=−300Q+6000.

b. When the price per unit is Rs 1650, the number of calculators demanded is 2500.

c. When 4500 calculators are demanded, the price per unit is Rs 900.

a. The slope of the demand curve is m = 0.3. We can find the y-intercept by substituting the slope and one of the points into the demand equation. When the price is Rs 1200, the quantity demanded is 4000. Therefore, the y-intercept is b=1200−(−0.3)(4000)=2400.

The demand equation is p=−0.3Q+2400.

1650 = 0.3Q - 2400

b. When the price per unit is Rs 1650, the number of calculators demanded is:

= (1650 - 2400) /-0.3

= 2500.

c. To find the price per unit of calculator when 4500 calculators are demanded, we substitute Q = 4500 into the demand equation and solve for p:

p = 0.3(4500) + 2400

p = 900

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Step-by-step explanation:

This graph shows a vertical asymptote at x = 0  

                                           this is where it is not continuous

The most suspicious set of outcomes of 30 games played between the two computers would be option C: ABBABABABABBABABABABABABABABAA.

In a fair game where player B is supposed to win 4 out of 5 times, we would expect player B to win approximately 24 out of 30 games.  However, option C shows player B winning only 6 out of 30 games, which deviates significantly from the expected outcome.

This set of outcomes suggests a strong bias towards player A winning, as player B's wins are significantly lower than expected.

It is highly unlikely to observe such a low success rate for player B if the game was truly biased in favor of player B winning 4 out of 5 times.

Option C raises suspicions of an unfair advantage given to player A, potentially indicating some manipulation or incorrect implementation in the programming of the game.

Further investigation would be warranted to determine the cause of this biased outcome and to ensure fair play between the two computers in future games.

For similar question on outcomes.

https://brainly.com/question/12342341  

#SPJ11

The greatest number of children that can distribute the mangoes equally is 481. Each child will receive 481/481 = 1 mango.

In order to distribute the mangoes equally among children, we first need to determine the total number of mangoes in the bag.

If there are 215% (or 2.15) of 224 mangoes in the bag, we can calculate the total number of mangoes by multiplying these values: 2.15 * 224 = 481.6 mangoes.

Since we cannot have fractional mangoes, we round down to the nearest whole number, which gives us a total of 481 mangoes in the bag.

To distribute these mangoes equally among the children, we divide the total number of mangoes by the number of children. Let's assume there are 'x' children.

Each child will receive 481/x mangoes.

To determine the greatest number of children, we need to find a value for 'x' that evenly divides 481. We can do this by finding the factors of 481. The factors of 481 are 1, 13, 37, and 481.

Therefore, the greatest number of children that can distribute the mangoes equally is 481. Each child will receive 481/481 = 1 mango.

To know more about Greatest number .

https://brainly.com/question/29188942

#SPJ11

Answer: passes a horizontal AND vertical line test✅; no repeating x values✅

Step-by-step explanation:

To pass a line test, the function must pass BOTH the horizontal and vertical line test. If it only passes one but not the other, is it NOT a function.

Lastly, it can be a function if it has repeating y values.

Answer:

120c

Step-by-step explanation:

3 for 10c 1 for 10/3c 3*12 for 10/3 *36 =12*10=120c is the cost of 3 dozen of such cards

By using the parallelogram method, the addition of the vectors [tex]\vec a + \vec b[/tex] is (3, 1).

In Mathematics, a vector typically comprises two (2) points. First, is the starting point which is commonly referred to as the "tail" and the second (ending) point that is commonly referred to the "head."

Furthermore, the head to tail method of adding two vectors requires drawing the first vector ([tex]\vec a[/tex]) on a graph and then placing the tail of the second vector ([tex]\vec b[/tex]) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector ([tex]\vec a[/tex]) to the head of the second vector ([tex]\vec b[/tex]).

Furthermore, the head to tail method of adding two (2) vectors requires drawing the first vector ([tex]\vec a[/tex]) on a graph and then placing the tail of the second vector ([tex]\vec b[/tex]) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector ([tex]\vec a[/tex]) to the head of the second vector ([tex]\vec b[/tex]).

By adding the given vectors algebraically, we have the following:

[tex]\vec a + \vec b[/tex] = (4, -3) + (-1, -2)

[tex]\vec a + \vec b[/tex] = [(4 + (-1)), (-3 + (-2))]

[tex]\vec a + \vec b[/tex] = [(4 - 1), (-3 - 2)]

[tex]\vec a + \vec b[/tex] = (3, -5).

Read more on head to tail method and vector here: https://brainly.com/question/30135145

#SPJ1

Step-by-step explanation:

work he in a department store

Answer:187 miles

Step-by-step explanation: 155.33-16.95=138.38/74=187

The expression which is equivalent to the given expression is 1 / 5x⁸ y¹³.

Given expression is,

3 x⁻⁶y⁻³ / 15 x² y¹⁰

We have to find the equivalent expression for this, which means that the end value for both expressions will be same.

We can write the given expression as,

3/15 × (x⁻⁶ / x²) × (y⁻³ / y¹⁰)

1/5 × (x⁻⁶ ⁻ ²) × (y⁻³ ⁻ ¹⁰)

= x⁻⁸ y⁻¹³ / 5

When the variables goes in to the denominator sign changes to positive in the exponent.

= 1 / 5x⁸ y¹³

Hence the correct expression is 1 / 5x⁸ y¹³.

Learn more about Equivalent Expressions here :

https://brainly.com/question/28170201

#SPJ1

Step-by-step explanation:

14÷100×1680.00

=$235,20

Answer:

c) The equation of this line is y = 3x + 12.

Answer:

please see detailed answers below

Step-by-step explanation:

1) circumference = πd = 16π inches.

arc length = (15/360) X πd = (2/3)π inches.

area of circle = πr² = π(8)² = 64π square inches.

area of sector = (15/360) X 64π = (8/3)π square inches.

2) circumference = πd = 30π inches.

minor arc length = (60/360) X 30π = 5π inches.

major arc length = (300/360) X 30π = 25π inches.

area of circle = πr² = π(15)² = 225π square inches.

area of minor sector = (60/360) X πr² = (75/2)π square inches.

area of major sector = (300/360) X πr² = (375/2)π square inches.

3) circumference = πd = 40π inches.

arc length = (125/360) X 40π = (125/9)π inches.

area of circle = πr² = π(20)² = 400π square inches.

area of sector = (125/360) X 400π = (1250/9)π square inches.

Answer:

x = 4

Step-by-step explanation:

the angle immediately to the left of 20x must be 25x. that's because the two lines with double arrows at the top are parallel lines.

the angle to the left of 20x and the 25x are called alternate angles. they are equal.

also, 20x and the angle to the left of it are on a straight line. angles on a straight line add up to 180°.

so, we now have 20x + 25x = 180.

45x = 180

divide both sides by 45:

x = 180/45

= 4.

x = 4.

The slope of the line tangent to the graph of h(x) = 1/x + 3 at the point when x is -6 is -1/36.

To determine the slope of the line tangent to the graph of the given function when x = -6;

Using alternative form of the definition of derivative.

f'(a) = lim (h->0) [f(a+h) - f(a)] / h

Using this formula for the given function;

h'(a) = lim (h->0) [h(a+h) - h(a)] / h

Now, substitute a = -6 into the formula:

h'(-6) = lim (h->0) [h(-6+h) - h(-6)] / h

Next, simplify the expression by plugging in the values:

h'(-6) = lim (h->0) [1/(-6+h) + 3 - (1/-6 + 3)] / h

Simplifying further:

h'(-6) = lim (h->0) [1/(-6+h) - 1/-6] / h

Now, let's combine the fractions with a common denominator:

h'(-6) = lim (h->0) [(-6 - (-6+h))/((-6+h)(-6))] / h

Simplifying the numerator:

h'(-6) = lim (h->0) [-h / ((-6+h)(-6))] / h

Canceling out the h's:

h'(-6) = lim (h->0) [-1 / ((-6+h)(-6))]

Taking the limit as h approaches 0:

h'(-6) = -1 / ((-6)(-6))

Simplifying further:

h'(-6) = -1 / 36

Learn more on slope of line tangent here;

https://brainly.com/question/6353432

#SPJ1

Sure, I can help you solve that math problem step by step.

First, we need to find the length of the hypotenuse of the ramp using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides (a^2 + b^2 = c^2).

So, using that formula, we can calculate the length of the ramp's hypotenuse: c^2 = 4.2^2 + 0.7^2

c^2 = 17.64 + 0.49

c^2 = 18.13

c = sqrt(18.13)

c = 4.26m

Now that we have the length of the hypotenuse, we can use the inverse trigonometric function of sine to find the angle of inclination. The sine of an angle is equal to the opposite side (in this case, the rise of the ramp, which is 0.7m) over the hypotenuse (4.26m).

So, sin(theta) = opposite/hypotenuse

sin(theta) = 0.7/4.26

sin(theta) = 0.1643

Now, we need to find theta by taking the inverse sine of 0.1643 (or sin(theta)).

theta = sin^-1(0.1643)

theta = 9.47 degrees

So the angle of inclination of the ramp to the nearest degree is 9 degrees.

The diameter of the sphere to the nearest tenth is [tex]5.3\ cm[/tex].

According to the question:

[tex]Volume(V) = 79\ cm^3[/tex]

To find:

[tex]Radius(r)[/tex]

We know that:

[tex]V = \frac{4}{3}\pi r^3[/tex]

⇒ [tex]r = (\frac{3V}{4\pi})^{1/3}[/tex]

Take [tex]\pi[/tex] = [tex]3.1415[/tex] and substitute the given values in the above equation:

[tex]r = (\frac{3\times 79}{4\times 3.1415})^{1/3}[/tex] ...(∵ [tex]\pi = 3.1415[/tex])

[tex]r = 18.8604^{1/3}[/tex]

[tex]r = 2.661\ cm[/tex]

⇒[tex]diameter = 2\times 2.661\ cm[/tex]

⇒[tex]diameter = 5.322\ cm[/tex]

Rounded to the nearest tenth:

[tex]diameter = 5.3\ cm[/tex]

Therefore, the diameter of the sphere to the nearest tenth is [tex]5.3\ cm[/tex].

Read more about spheres here:

https://brainly.com/question/30522100

Answer:

The correct answer is C. Net income refers to your take-home pay after taxes and other deductions have been taken out of your gross income. It is an important financial measure because it represents the actual amount of money you have available to save, invest, or spend on your expenses and bills.

Step-by-step explanation:

To solve the inequality:

9.5 + 6x ≥ 42.1

We will follow these steps:

Subtract 9.5 from both sides of the inequality:

9.5 + 6x - 9.5 ≥ 42.1 - 9.5

6x ≥ 32.6

Divide both sides of the inequality by 6:

(6x) / 6 ≥ 32.6 / 6

x ≥ 5.433333...

Rounded to two decimal places, the solution to the inequality is:

x ≥ 5.43

Answer:

30

Step-by-step explanation:

We can move the triangle on the top to the bottom to form a rectangle.

Then, it is 5x6 = 30.

Answer: a. A $100 stock loses 20% of its value.

To find the ending value of the stock after a 20% decrease in value, we can multiply the initial value by (1 - 0.20) or 0.80.

Ending value = $100 x 0.80 = $80

Therefore, the ending value of the stock after a 20% decrease is $80.

b. An $80 stock gains 20% of its value.

To find the ending value of the stock after a 20% increase in value, we can multiply the initial value by (1 + 0.20) or 1.20.

Ending value = $80 x 1.20 = $96

Therefore, the ending value of the stock after a 20% increase is $96.

Step-by-step explanation: :)

The value of 6(x + 1), given that 6* = 7 is [tex](7/6)x + 7/6.[/tex]

Given that 6* equals 7, we will solve for the value of "" by dividing 7 by 6.

6 = 7

= 7/6

To get value of 6 multiplied by (x + 1), we substitute the value of "*" into the expression:

6 * (x + 1) = (7/6) * (x + 1)

Expanding expression:

6 * (x + 1) = 7/6 * x + 7/6 * 1

6 * (x + 1) = 7/6 * x + 7/6

Read more about expression

brainly.com/question/1859113

#SPJ1

The probability that calls last between 4.0 and 4.6 minutes will be around 0.4332.

we have to standardize the values and utilize the standard typical dispersion table or calculator.

To discover the z-scores for 4.0 and 6.0  minutes:

z1 = (4.0 - 6.0  ) / 0.70 = 2.8

z2 = (4.5 - 6.0  ) / 0.70= 2.1

Since Employing a standard ordinary conveyance table, we are able to discover the likelihood of the calls enduring between 4.0 and 4.6 minutes:

P(0 ≤ Z ≤ 2.1) = 0.4332

However the likelihood that calls final between 4.0 and 4.6 minutes is 0.4332, or around 0.4332.

To know more about probability refer to this :

brainly.com/question/24756209

#SPJ1

The equation of the parabola is[tex](y + 6)^2 = 4(x - 13)[/tex], where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

[tex](x - h)^2 = 4p(y - k)[/tex]

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

for such more question on parabola

https://brainly.com/question/18274774

#SPJ11

The graph of y = log1/3(x) is a decreasing curve that passes through the points (1, 0) and (3, -1). The horizontal asymptote is y = 0, and the vertical asymptote is x = 0.

The inverse of y = log1/3(x) is x = 3^y, which is equivalent to y = log3(x). The graph of y = log3(x) is an increasing curve that passes through the points (1, 0) and (3, 1). The horizontal asymptote is y = 0, and the vertical asymptote is x = 0.

When both graphs are plotted on the same pair of axis, they intersect at the point (1, 0) and (3, -1) and (3, 1).

The values of

1. DF = 28cm

2. AC = 64 cm

3. CF = 32 cm

It states that the line segment in a triangle joining the segment of any two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”

Therefore we can say that;

triangles , BDE, AD ,EFC, DE are congruent.

congruent triangles are triangles with equal sides and equal angles.

D = BE

BE = 56/2 = 28cm

A = DE = 32 cm

AC = 2AF

= 2 × 32 = 64 cm

learn more about segment theorem from

https://brainly.com/question/28667736

#SPJ1