How many ways are there to deal hands of five cards to each of six players from a deck containing 48 different cards

Length of the ladder = 13 m

Foot of the ladder from the wall = 5 m.

The upper end of the ladder is (13^2–5^2)^0.5 = 12 m above the ground.

In 1 second the foot of the ladder is 7 m from the wall, while the top end is (13^2–7^2)^0.5 = (169–49)^0.5 = 120^0.5 = 10.95 m. Then the top moves 1.05 m downwards.

In 2 seconds, the foot of the ladder is 9 m from the wall, while the top end is (13^2–9^2)^0.5 = (169–81)^0.5 = 88^0.5 = 9.38 m. Then the top moves 3.62 m downwards.

In 3 seconds, the foot of the ladder is 11 m from the wall, while the top end is (13^2–11^2)^0.5 = (169–121)^0.5 = 48^0.5 or 6.93 m. Then the top moves 6.07 m downwards.

So, if the foot of the ladder moves at a constant rate of 2 m/s the top end of the ladder moves downwards which varies from second to second.Answer: The lader will form the hypotenuse. Length of hypotenuse = 13m.

Let us take the horizontal distance between the wall and the ladder as ‘ground’. This g = 5m

wall ^ 2 + ground ^ 2 = 13^2 = 169

w^2 + g^2 = 169

w^2 + 25 = 169. Thus, w^2 = 144. Thus, w = 12

Rate of change of ground distance = dg / dt = 2m/s (given).

In the equation w^2 + g^2 = 169, differentiate the equation with respect to time.

2 w dw/dt + 2 g dg/dt = 0

2 (12) (dw/dt) + 2 (5) (2) = 0. So, 24 dw/dt + 20 = 0

dw/dt = -20 / 24 = -5 / 6

Thus, the height of the wall is decreasing at a rate of -5/6 m / s (that is, -0.833m/s)

The minus sign denotes that the height of the ladder is falling.

Step-by-step explanation:

If the perimeter and area of the hexagon are $p$ and $a$, respectively, the value of $\frac{p^4}{a^2}$ is 192.

Regular hexagon has side length of 6

Perimeter of regular hexagon is given by 6*(side)

∴Perimeter = 6*(6) = 36

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

Area of Regular hexagon is composed of 6 equilateral triangles and is given by,

= 6* (1/2)*6² * √3/2

= 3√3/2 * 36

= 54√3

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So fraction \(\frac{p^4}{a^2}\) = \(\frac{36^4}{(54\sqrt{3})^2 } = \frac{36*36*36*36}{54*54*3}\)  =192.

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Answer:

(-1,0), (0,3) and (2,2.25)

Step-by-step explanation:

The qualitative graph is as follows:

A(-1,0) ------> B(0,3) ------> C(2,2.25)

Hence, slope = (2.25 - 0)/(2 - (-1)) = 2.25/3

∴ slope = 0.75

Except for the option graph on a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), all the graph is qualitative. Options B, C, and D are correct.

The kind of graph that shows the quality curve such as decreasing and increasing events, is called a qualitative graph or curve.

Here,
1. On a coordinate plane, a line with a positive slope goes through points (negative 1, 0) and (0, 3), since this graph does not represent any data as well as also constantly increasing between two points so it is not a qualitative graph.

Similarly,
Graphs B, C, and D have an increasing and decreasing order, so all are qualitative graphs.

Thus, except for graph A all the graphs are qualitative graphs.

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Answer:

The length of time it takes for Ryan to use all the plant food.

Step-by-step explanation:

I think

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

Answer:

-4.65< -4 and 2/5

Step-by-step explanation:

To solve, this we can convert the fraction -4 and 2/5 into a decimal so that the values can be more easily compared. When we do this, we get the result that -4 and 2/5 equals -4.4. Now we can clearly see which value is greater because they are written in the same form:

-4.65<-4.4

-4.65<-4 2/5

Answer:

<

Step-by-step explanation:

You have to convert the mixed number by multiplying the whole number by the denominator, adding the numerator, and dividing the sum by the denominator.

4x5=20

20+2=22

22÷5=4.4

-4.65 < -4.40

The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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Answer:

3

Step-by-step explanation:

13 - 10 = 3

The probability that a student will get exactly 13 questions right is 0.003.

Let E be an event that student gives 13 right answers.

According to the given question.

An exam contain total number of questions is 15.

Now,

The probability that a student gives a right answer, p = 1/2 = 0.5

And, the probability that a student gives a wrong answer, q = 1 - 1/2 = 1/2 = 0.5

Therefore,

The probability that a student will get exactly 13 questions right is given by

⇒ P(E) = C(15, 13) p^(13)q^(15 - 13)

⇒ P(E) = (15!/13!2!)(0.5)^13(0.5)^2

⇒ P(E) = (15(14)/2 ) ×  ( 0.00012) × 0.25

⇒ P(E) = 105 × 0.00012 × 0.25

⇒ P(E) = 0.00315

Hence, the probability that a student will get exactly 13 questions right is 0.003.

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Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

After solving for p(e∩f) = p(f ∩g) = p(e∩g) = 1/3 the value of p(e) (probability of e event occurs) is 1/3.

Let's start by using the inclusion-exclusion principle:

p(e ∪ f ∪ g) = p(e) + p(f) + p(g) - p(e ∩ f) - p(f ∩ g) - p(e ∩ g) + p(e ∩ f ∩ g)

Since e, f, and g cannot occur simultaneously, we have:

p(e ∩ f ∩ g) = 0

Substituting the given values of p(e ∩ f), p(f ∩ g), and p(e ∩ g), we have:

p(e ∪ f ∪ g) = p(e) + p(f) + p(g) - 1/3 - 1/3 - 1/3

p(e ∪ f ∪ g) = p(e) + p(f) + p(g) - 1/3

Since e, f, and g are mutually exclusive, we have:

p(e ∪ f ∪ g) = p(e) + p(f) + p(g)

Substituting this into the previous equation, we get:

p(e) + p(f) + p(g) = p(e) + p(f) + p(g) - 1/3

Simplifying, we get:

1/3 = p(e)

Therefore, the probability of event e is 1/3.

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Answer:

Step-by-step explanation:

Sean drank at a rate of 5 milliliters per second. It took Sean 55 seconds to drink all the slushy.

Answer:

5 millimeters per second

Step-by-step explanation: 55 seconds

Answer:

1/4

Step-by-step explanation:

8 blue chips 9 pink chips 1 white chip = 18 chips

P( pink) = pink/total = 9/18 = 1/2

Replace

8 blue chips 9 pink chips 1 white chip = 18 chips

P( pink) = pink/total = 9/18 = 1/2

P(pink, replace, pink) = 1/2 * 1/2 = 1/4

Steps:

blue chips = 8

pink chips = 9

white chips=1

total          = 18

Description:

As we know that the blue chips was 8, pink chips was 9, and white chips was 1. We plus all the numbers and your answer will equal as 18. Since the pink chips are 9 and the total is 18, we put then as a fraction. So 9/18=1/2. But the answer will be 1/4

Answer: 1/4

1st draw:

pink chip = 9/18 = 1/2

2nd draw:

pink chip = 9/18 = 1/2

Please mark brianliest

hope this helps.

The capital includes :

Any financial contribution made to a business to assist in achieving and advancing its commercial goal is referred to as a capital investment. The phrase may also refer to a long-term purchase made by a company, such as one for land, equipment, businesses, etc.

When a corporation issues securities to equity investors and debt to bondholders, the total amount of debt and capital lease obligations are added to the amount of stock given to investors to determine the overall amount of money raised. This amount is referred to as invested capital. The balance sheet of the business does not include an item for invested capital because debt, capital leases, and stockholders' equity are all stated separately.

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Based on a week of 7 days and using arithmetic and geometric progressions, 89 more pens are sold in the second shop than in the first shop.

Arithmetic progression refers to a sequence of numbers in which the common difference between any two consecutive numbers is a constant value.

Subsequent values in an arithmetic progression are obtained by adding the constant value to the preceding value.

A geometric progression is a sequence in which each consecutive element is obtained by multiplying the preceding value by the constant value, called the common difference.

Sales of Pens in a Week

                  First Shop     Second Shop

Day 1             60                        5

Day 2            66 (60 + 6)         10 (5 x 2)

Day 3            72 (66 + 6)         20 (10 x 2)

Day 4            78 (72 + 6)         40 (20 x 2)

Day 5            84 (78 + 6)         80 (40 x 2)

Day 6            90 (84 + 6)       160 (80 x 2)

Day 7            96 (90 + 6)      320 (160 x 2)

Total sales  546                   635

1 Week = 7 days

The difference in sales of pens = 89 (635 - 546)

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The value of x in the given equation will be 2/5

From the data,

We have to determine the value of x.

The given equation is: 18x-16=-12x-4

For determining the value of x, we will first shift the like terms on one side of the equation.

So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.

So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,

We will get it as:

18x+12x = -4+16

30x=12

Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.

So, the value of x will be = 12/30 = 2/5

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The correct question may be:

What is the value of x

18x-16=-12x-4

Enter your answer in the box.

Answer:

Think of the equation as an equation for a line  y = m x + b  where in this case  C = 5 9 ( F − 32 )  or  C = 5 9 F − 5 9 ( 32 )  You can see the slope of the graph is  5 9 , which means that for an increase of 1 degree Fahrenheit, the increase is  5 9  of 1 degree Celsius.  C = 5 9 ( F )  C = 5 9 ( 1 ) = 5 9  Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  9 5  degrees Fahrenheit.  C = 5 9 ( F )  1 = 5 9 ( F )  ( F ) = 9 5  Since  9 5  = 1.8, statement II is true.  The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of  5 9  degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:  C = 5 9 ( F )  C = 5 9 ( 5 9 )  C = 25 81 ( which is ≠ 1 )  An increase of  5 9  degree Fahrenheit leads to an increase of  25 81 , not 1 degree, Celsius, and so Statement III is not true.  The final answer is D.

Answer:

a.2:7

b.7:9

c.4:5

hope it helps

Explanation -

a. as original ratio is 10/35 , we reduce it to 2:7.

b. as original ratio is 35/45 , we reduce it to 7:9

c. as original ratio is 40:50 , we reduce it to 4:5

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

\(x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2} = \frac{1 \pm 9 }{-0.4}\)

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

The reflection of the triangle JKL across the line x = 4 is equivalent to flipping the preimage across the line x = 4.

The correct coordinates are;

⇒ J' = (7, - 1)

⇒ K' = (6, 3)

⇒ L' = (5, - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Here, The given transformation is a reflection about the line x = 4

And, The points of triangle JKL are J(1, -1), K(2, 3), and L(3, -2), in the line x = 4

We know that;

The coordinates of the triangle JKL following a reflection across the line x = 4, have the same y-coordinates , while the x-coordinates have the same distance magnitude to the line x = 4, but opposite sign.

Hence, Distance between x-coordinate of the point J and the line x = 4 is 4 - 1 = 3

Which gives;

Distance between x-coordinate of the point J' and the line x = 4 is 4 + 3 = 7

Therefore, the coordinate of the point J' is (7, - 1)

Similarly, we have;

Distance between x-coordinate of the point K and the line x = 4 is

4 - 2 = 2

Distance between x-coordinate of the point K' and the line x = 4 is

4 + 2 = 6

Hence, The coordinate of the point K' is (6, 3)

And, Distance between x-coordinate of the point L and the line x = 4 is

4 - 2 = 2

Distance between x-coordinate of the point L' and the line x = 4 is

4 + 2 = 6

Hence, The coordinate of the point L' is (5, - 2)

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Answer:

k=73

62+45=107

180-107=73

Answer:

The first choice

Step-by-step explanation:

7/8 x + 3/4 = -6

6 (x/8) + 3/4 = -6

Answer:

Probability of choosing one club and one spade = 0.6025

Step-by-step explanation:

Total number of cards= 52 cards

For the first event

Probability of choosing a club

Toatal club = 13 cards

Probability of choosing a club

= 13/52

Probability of choosing a club

= 1/4

Probability of choosing a club

=0.25

For the second event

Probability of choosing a spade

Toatal spade = 13 cards

Probability of choosing a spade

= 13/52

Probability of choosing spadep

= 1/4

Probability of choosing a spade = 0.25

Probability of both = 0.25*0.25

Probability of both = 0.6025

Answer:

D. 0.1275

Step-by-step explanation:

Justo took the Pre-Test on Edg (2020-2021)!!

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

Answer: We can start by using the information given to find the total bill amount.

If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:

72/100 = 94.41/x

where x is the total bill amount.

We can cross-multiply and solve for x:

72x = 100 * 94.41

x = (100 * 94.41) / 72

x = 123.84

To the nearest cent, the total amount of the utility bill was $123.84.

Step-by-step explanation:

A) A glass tank is filled with 4.5 liters of water. To make the water more like sea water, 1.99 grams of sodium chloride are added.

B) True or false: Sodium chloride is an electrolyte.

True. Sodium chloride is an electrolyte because it dissociates in water into sodium ions (Na+) and chloride ions (Cl-) which can conduct electricity.

C) What is the solute in this solution?

The solute in this solution is sodium chloride.

D) What is the solvent in this solution?

The solvent in this solution is water.

E) Which one is the right answer: What is the molarity of the resulting solution?

The molarity of the resulting solution can be calculated using the formula:

Molarity (M) = moles of solute / liters of solution

First, we need to convert the mass of sodium chloride added to moles. The molar mass of NaCl is 58.44 g/mol, so:

moles of NaCl = 1.99 g / 58.44 g/mol = 0.034 moles

The volume of the solution is 4.5 liters, so:

Molarity = 0.034 moles / 4.5 L = 0.0076 M

Therefore, the right answer is option c. 0.0076 M.

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The amounts that she has to spend are of $2000 in Country A and $500 in Country B, using a system of equations.

The first step in building the system of equations is identifying the variables, as follows:

Considering the total amount of $3400 that she has to spend, and the rates of each country, the following equation is established:

1.3x + 1.6y = 3400.

She wants to have four times as much of currency A as she wants of currency B, hence the second equation of the system is presented as follows:

x = 4y.

Then the amount that she will have to spend in Country B is calculated replacing x = 4y on the first equation as follows:

1.3(4y) + 1.6y = 3400

6.8y = 3400

y = 3400/6.8

y = $500.

The amount that she has to spend in Country A is given as follows:

x = 4y = 4 x 500 = $2000.

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A state function is a property that depends only on the current state of the system, and not on the path taken to reach that state.

Examples of state functions include temperature, pressure, volume, and internal energy, and they can only be measured if a substance undergoes a phase change.

A state function is a property of a system that depends only on the current state of the system, and not on the path taken to reach that state. In other words, a state function is a property that is path-independent. This means that the value of a state function does not depend on how the system arrived at its current state, only on the current state itself.

One way to think about state functions is to compare them to non-state functions, also known as path functions. A non-state function, such as work or heat, depends on the path taken to reach the current state of the system. For example, the amount of work done on a gas in a piston can be different depending on the path taken to compress the gas. If the gas is compressed slowly, the amount of work done will be less than if it were compressed quickly. However, the internal energy of the gas, which is a state function, will be the same regardless of the path taken to compress it.

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The reference angle of 17π/3 is π/3.

The reference angle of -7π/12 is 5π/12.

The reference angle of -31π/6 is π/6.

The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle. There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.

Given that first angle is 17π/3

= 15π/3 + 2π/3

= 5π + 2π/3

The reference angle of 17π/3 is

π - 2π/3

= (3π - 2π)/3

= π/3

The second angle is -7π/12

The reference angle of -7π/12 is

= π - 7π/12

= (12π - 7π)/12

= 5π/12

The third angle is -31π/6

= -30π/6 - π/6

= -5π -π/3

The reference angle of -31π/6 is

= π/6

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This question is incomplete, the complete question is in attached image.