Select the correct answer.
Which expression is equivalent to this polynomial expression?
(2x5 + 3y4)(-4x2 + 9y4)

Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169

Since the limit evaluates to different values along different paths, we conclude that the limit does not exist at (0,0).

A straight line is a geometrical concept that represents a set of points that extend infinitely in both directions without any curvature or deviation. It is the shortest distance between two points in Euclidean geometry and is defined by two points on the line. Any two distinct points in a plane can be connected by a unique straight line. Straight lines are fundamental in mathematics, physics, and engineering, and are used to represent many concepts, including trajectories, vectors, and functions.

To show that the limit does not exist, we need to find another path where the limit evaluates to a different value or does not exist.

Let's consider the path y = mx, where m is any constant. Then, as (x, y) approaches (0, 0) along this path, we have:

\(lim (x,y)\) → \((0,0) -5x^3y / (-4x^6 + 7y^2)\)

\(= lim x\) → \(0 -5x^3(mx) / (-4x^6 + 7(mx)^2)\) [substituting y = mx]

\(= lim x\) → \(0 -5m x^4 / (-4x^6 + 7m^2x^2)\)

\(= lim x\) → \(0 (-5m / x^2) / (-4x^4 + 7m^2)\)

\(= lim x\) → \(0 5m / (4x^2 - 7m^2)\)

Now, the limit will not exist if this expression evaluates to different values for different choices of m.

If m = 0, then the expression becomes 0/0, which is an indeterminate form. We can use L Hsopital's rule to evaluate this limit:

\(Lim x\) → \(0 5m / (4x^2 - 7m^2)\)= \(lim x\) → \(0 (d/dx)(5m) / (d/dx)(4x^2 - 7m^2)\)

= \(Lim x\) →\(0 0 / (8x) = 0\)

If m ≠ 0, then the denominator \(4x^2 - 7m^2\)will be nonzero as x approaches 0. Therefore, the limit will be:

\(lim x\) →\(0 5m / (4x^2 - 7m^2)\)= ±∞, depending on the sign of 5m and \(4x^2\) - \(7m^2.\)

Since the limit evaluates to different values along different paths, we conclude that the limit does not exist at (0,0).

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\(_____________________________________\)

\(\tt\large{y=\frac{9}{2}}\)

\(\tt\large{x=-5+y}\)

\(_____________________________________\)

Answer: A.

Step-by-step explanation:

1/4 is not in fact a natural number, it's a rational number, a ratio.

A real-world example of slope is the concept of population growth rate. The population growth rate represents the rate at which the population of a particular area or species increases or decreases over time.

The formula for population growth rate is:

Population Growth Rate = ((Ending Population - Starting Population) / Starting Population) * 100

For example, let's say a city had a population of 100,000 at the beginning of the year and it increased to 110,000 by the end of the year. To calculate the population growth rate:

Population Growth Rate = ((110,000 - 100,000) / 100,000) * 100

= (10,000 / 100,000) * 100

= 0.1 * 100

= 10%

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7h-15h+40=-72

40+72=15h-7h

112=8h

h=14

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The solution to the given equation 0. 4(12 + 3x) = 0. 3(12x + 16) is; x = 0

The correct mathematical form of the given equation is as follows;

By solving; we have;

x = 0.

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The equation of the circle graphed in this problem is:

(x - 5)² + y² = 16.

The equation of a circle of center \((x_0, y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

For the circle graphed, we have that:

Hence the equation of the circle graphed is:

(x - 5)² + y² = 16.

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The  equation representing the relationship in the table is:

d = p + 2.25

The table shows the relationship between p, the cost of pizza, and d, the cost of pizza with delivery.

From the given values in the table, we can observe that the cost of pizza with delivery (d) is always $2.25 more than the cost of the pizza (p).

So, the equation representing the relationship is

d = p + 2.25

This equation accurately captures the relationship between the cost of the pizza (p) and the cost of the pizza with delivery (d) as shown in the given table.

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a) Let x represent the number of pounds of seed needed per acre. From the information given, It takes 60 pounds of seed to completely plant a 10-acre field. Thus, we have the following equations

60 = 10

x = 1

By crossmultiplying, we have

10x = 60

x = 60/10

x = 6

6 pounds of seed are needed per acre

b) Let x represent the number of hours of bike use that a customer gets per dollar. From the information given, it costs $17 to rent a bike for 3 hours.

Thus, we have the following equations

17 = 3

1 = x

By crossmultiplying, we have

17x = 3

x = 3/17

x = 0.17647

Rounding to the nearest hundredth,

the number of hours of bike use that a customer gets per dollar is 0.18

Answer:

13.5

Step-by-step explanation:

Answer: the volume of the dough is dependant variable and minutes since the dough was made is independant

Step-by-step explanation:

Just took the quiz and got it correct, hope this helps! :)

Answer:

4(7w+10)

Step-by-step explanation:

Answer:

4(7w+10)

Step-by-step explanation:

Answer:

19%

Step-by-step explanation:

40/50 = x/100

solve for x

x is equal to 20%

but out of the answer choices it's 19%.

Answer: 19%

Step-by-step explanation:

50, percentage decreased by 60% (percent) of its value = 20

50, percentage decreased by 80% (percent) of its value = 10

50, percentage decreased by 19% (percent) of its value = 40.5

50, percentage decreased by 40% (percent) of its value = 30

Hence, the answer is 19%

Answer: A

Step-by-step explanation: Hi

Answer:

209 yan ang sagot brainliest po

Answer:

1) No.

2) Yes "3x + y = 2".

3) Yes "5x - y = -4".

4) Yes "2x - y = -5".

5) Yes "6x - y = 7".

6) No.

7) Yes "y = 4".

8) Yes "2x + 6y = 2".

9) Yes "y = 2".

Step-by-step explanation:

This looks right to me, let me know if you have any trouble!

Answer:

discount rate= 0.35

Step-by-step explanation:

Giving the following information:

The price on the tag was $20, but Lauren paid $13 before tax.

To calculate the discount rate, we need to use the following formula:

Total discount= total price * ( 1 - discount rate)

13= 20 * (1 - discount rate)

13= 20 - 20discount rate

20discount rate = 7

discount rate= 7 / 20

discount rate= 0.35

Perimete23.33 feet

Explanation:

A room is like a rectngle. SO we would apply the perimeter of a rectangle

perimeter of a rectangle = 2(length + width)

length = 10'6" = 10 feet 6 inches

Width = 14' = 14 inches

Let's make the unit oof length and width to be in feet (that is the unit in the question option)

12 inches = 1 foot

6 inches = 6/12 = 1/2 feet

14 inches = 14/12 = 7/6 feet

length = 10 feet + 1/2 feet = 10 1/2 feet = 21/2 feet

width = 7/6 feet

perimeter of a rectangle = 2(21/2 + 7/6)

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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The labor hours required for the eighth satellite are calculated to be 51,200 based on a learning curve value of 0.5120 and an expected improvement curve of 80%.

The learning curve concept suggests that as the cumulative production doubles, the labor hours required to produce each unit decrease by a certain percentage. In this case, the learning curve value for the eighth unit is given as 0.5120, which means that the labor hours needed for the eighth satellite is 51.20% of the labor hours required for the first unit.

To calculate the actual number of labor hours, we multiply the learning curve value by the total labor hours required for the first unit. Given that the total labor hours for the first unit is 100,000, we can calculate the labor hours for the eighth satellite as follows: 0.5120 * 100,000 = 51,200.

Therefore, based on the given learning curve value and the expected improvement curve of 80%, the number of labor hours for the eighth satellite is determined to be 51,200.

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Answer:

85.14% of the students have a cell phone.

Answer:

24 yards²

Step-by-step explanation:

8 yd x 3 yd=24 yd²

Answer:

24 square yards is your answer.

Step-by-step explanation:

L X B

8 yd X 3 yd

24 square yards

Answer:

x = -6

Step-by-step explanation:

5x² + 60x + 180 = 0

5 x 180 = 900

you need 2 numbers that multiplies into 900 and adds into 60. these numbers are 30 and 30. now we can rewrite it

5x² + 30x + 30x + 180 = 0.

split it in half and factorise

5x(x + 6) + 30(x + 6) = 0

this means the brackets are:

(5x + 30)(x + 6) = 0

5x + 30 = 0

5x = -30

x = -6

x + 6 = 0

x = -6

therefore, x = -6.

The original price of the weather radio was approximately $69.95. After being discounted 20% a weather radio sells for $55. 96.

To find the original price of the weather radio, we can use the given information about the discounted price and the discount percentage.

Let's assume the original price of the weather radio is represented by "x".

If the radio is discounted by 20%, it means the selling price is 80% (100% - 20%) of the original price.

We can set up the equation:

0.8x = $55.96

To find the value of "x", we divide both sides of the equation by 0.8:

x = $55.96 / 0.8

x ≈ $69.95

Therefore, the original price of the weather radio was approximately $69.95.

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