Six friends had lunch together and decided to spilt the bill evenly, If the bill was 48.60 what was everyone’s share?

Answer:

39

Step-by-step explanation:

Step-by-step explanation:

\(39 \: is \: the \: answer\)

Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y-axis. The coordinates of a given point represent how far along each axis the point is located.

False. If f''(x) > 0 for all real numbers except at x=a, this implies that the function is concave up everywhere except at x=a. A continuous function that is concave up has a positive second derivative, which means the graph is shaped like a "U." In other words, it is "curving" upwards.

Since the function is concave up everywhere except x=a, it indicates that the function is increasing on both sides of x=a. An absolute maximum would require the function to be increasing on one side and decreasing on the other side, forming a "peak." However, since the function is increasing on both sides of x=a, it cannot have an absolute maximum at x=a. Thus, the statement is false.

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Step-by-step explanation:

Does that make sense to u??

Answer:

y = 2x + 2

Step-by-step explanation:

just trust me i took test and it had this question on it lol

Answer:

i think 18

Step-by-step explanation:

The length of an edge of the cube is approximately 1428.7 cm when rounded to the nearest tenth.

To find the length of an edge, we can use the relationship between the diagonal and the edge length of a cube. In a cube, the diagonal is the hypotenuse of a right triangle formed by three edges. Let's assume the length of an edge is "x."

According to the Pythagorean theorem, the square of the diagonal is equal to the sum of the squares of the three edges:

\(diagonal^2 = x^2 + x^2 + x^2\)

Simplifying the equation:

\(2020^2 = 3x^2\)

Solving for "x," we can take the square root of both sides:

\(x = \sqrt{(2020^2 / 3)} = 1428.7 cm\)

Therefore, the length of an edge of the cube is approximately 1428.7 cm when rounded to the nearest tenth.

In conclusion, the length of the edge of the cube is approximately 1428.7 cm.

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The exponential function represented in the table is given by:

\(F(x) = 16\left(\frac{3}{2}\right)^x\), which means that option F is correct.

It is modeled by:

\(y = ab^x\)

In which:

Considering the table, that has points (2,36) and (3,54), we have that:

\(36 = ab^2\)

\(a = \frac{36}{b^2}\)

\(54 = ab^3\)

\(54 = \frac{36}{b^2} \times b^3\)

\(36b = 54\)

\(b = \frac{3}{2}\)

Hence:

\(y = a\left(\frac{3}{2}\right)^x\)

When x = 2, y = 36, hence:

\(y = a\left(\frac{3}{2}\right)^x\)

\(36 = a\left(\frac{3}{2}\right)^2\)

\(\frac{9}{4}a = 36\)

\(a = 16\)

Hence, the function is:

\(F(x) = 16\left(\frac{3}{2}\right)^x\), which means that option F is correct.

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Answer:

0

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

f(6)=6^2-4

f(6)=36-4

f(6)=32

Answer:

f(6)=32

Step-by-step explanation:f(6)=6^2 -4

f(6)=36-4

f(6)=32

Answer:

3

Step-by-step explanation:

The slope of a line can be found by dividing the amount that the line "rises" over a certain amount of "run". In this case, the line rises 6 units while moving 2 units to the right. 6/2=3, meaning that the slope of this line is 3. Hope this helps!

The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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Scale factor is the ratio of representation measurement of the figure to the original figures.

The distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

Given information-

The distance between two parks on a city map is 1.8 inches.

The actual distance between the parks is 2 miles or 126720 inches.

The distance from the library to the post office is 0.8 mile or 50688 inches for the same city.

The scale factor of the distance of two parks on a city on the map and the actual distance between them is,

\(r=\dfrac{1.8}{126720}\\r=\dfrac{1}{70400}\)

Thus scale factor of the distance of two parks on a city on the map and the actual distance between them is 1/70400.

As the city is same for both the conditions. Thus, scale factor of the distance of library to the post office on a city on the map and the actual distance between them is also 1/70400.

Let suppose the the distance between the library and the post office on the map is x inches

\(\dfrac{1}{70400}=\dfrac{x}{50688} \\x=0.72\rm in\)

Hence the distance between the library and the post office on the map is 0.72 inches. Thus the option A is the correct option,

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The answer is yes, (x + 6) is a possible length of a rectangle with area x² + x − 30.

To determine whether (x + 6) is a possible length of a rectangle with area x^² + x − 30, we can use an area model to visualize the situation.

First, we need to find the width of the rectangle.

The area of a rectangle is given by the formula A = lw,

where A is the area, l is the length, and w is the width.

We are given that the area is x² + x − 30, so we can set this equal to lw and solve for w:

x² + x − 30 = (x + 6)w

w = (x² + x − 30)/(x + 6)

The length of a rectangle must be greater than or equal to its width, so we need to check whether (x + 6) is greater than or equal to (x² + x − 30)/(x + 6). This simplifies to:

(x + 6) ≥ x² + x − 30

Expanding the left side and simplifying, we get:

x² + 12x + 36 ≥ x² + x − 30

11x ≥ -66

x ≥ -6

Since x must be a positive number (since we are dealing with lengths), we can conclude that (x + 6) is the possible length of the rectangle. Therefore, the answer is yes, (x + 6) is a possible length of a rectangle with an area x² + x − 30.

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Answer:

It's B, because thats where the two points cross

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You can transform a function many times

:)

(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.

(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:

PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)

PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)

Taking the cross product of PQ and PR, we have:

n = PQ x PR = (9, 1, -2) x (10, 4, 1)

Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.

(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:

|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)

Evaluating the magnitude gives |n| = \(\sqrt\)(811).

The area of triangle PQR is then:

Area = |n| / 2 = \(\sqrt\)(811) / 2.

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To pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.

1. Determine the weight of cement required for the foundation, which is 75 tonnes.

2. Calculate the weight of each cement bag, which is 0.5 tonnes.

3. Divide the total weight of cement required (75 tonnes) by the weight of each bag (0.5 tonnes) to find the number of bags needed.

  75 tonnes ÷ 0.5 tonnes = 150 bags

4. Therefore, to pour 75 tonnes of cement for the foundation, a total of 150 bags of cement, weighing 0.5 tonnes each, are needed.

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The slope of a fairly flat upward-sloping line will be a small positive number. (option c)

This is because a slope measures the change in the y value for a given change in the x value. As the line is fairly flat, the change in y value will be small. Since the line is upward-sloping, the change in the y value will be positive. Therefore, the slope of the line will be a small positive number.

To calculate the slope mathematically, we can use the formula

This formula gives us the slope of the line between two points (x1, y1) and (x2, y2). In our case, since the line is fairly flat, the difference in y values (y2-y1) will be small, resulting in a small positive number for the slope.

We can also visualize this mathematically. If we graphed the line, it would look like a flat line, because the difference in y values is small. Therefore, the slope of the line will be a small positive number.

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Answer:

y=45x-540

Step-by-step explanation:

Given:

y varies inversely as the fourth power of x

For the inversely forth power of x is:

So the value of y is:

where,

k = constent

so the value of k is x=2 and y = 7.

Then the function is:

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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In probability theory, a Venn diagram is a diagrammatic representation of sets that shows all possible logical relations between them. Venn diagrams are widely used in probability and statistics to visualize the relationship between different sets of data.

The given Venn diagram shows the relationship between three sets, A, B, and C. In order to calculate probabilities using a Venn diagram, we need to know the number of elements or members in each set, as well as any overlapping regions.

We can then use these numbers to calculate the probability of different outcomes.Let's consider two possible probabilities from the given Venn diagram:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22. The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3The first probability can be calculated by dividing the number of elements in the overlapping region of sets A and B (which is 0.1) by the total number of elements in set B (which is 0.5).

This gives us a probability of 0.22 or 22%.The second probability can be calculated by dividing the number of elements in the union of sets B and C (which is 0.2) by the total number of elements in either set B or set C (which is 0.6). This gives us a probability of 1/3 or approximately 33%.

Therefore, the correct probabilities are:1.

The probability that an element is in set A and set B but not in set C is 0.1/0.5 = 0.22.

The probability that an element is in set B or set C but not in set A is 0.2/0.6 = 1/3

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Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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9 block rhombuses would create 3 hexagons.

In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.

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The laws of cosine , sine and the Pythagoras theorem can be used to find side length from angles .

The Law of Sines: This law states that the ratio of the sine of an angle to the length of the opposite side is constant for all sides of a triangle.

The Law of Cosines: This law states that the square of a side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides and the cosine of the angle between them.

The Pythagorean Theorem: This theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides

Therefore, the three stated methods can be used to find side length from angles

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Answer:

2(50 + 30)

130 is the hypotenuse