PLEASE ASAP There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many possibilities are there?

Answers

Answer 1

Answer: 380

Step-by-step explanation:

Total number of players = 20

To select a captain and a vice captain :

One captain from a total of 20 players :

20 combination 1 = 20C1 = 20 ways

Total number of players left after selecting a captain = 20 - 1 = 19

Number of players left from which to select a vice captain = 19

Therefore, one vice captain from a group of 19 players :

19 combination 1 = 19C1 = 19 ways

Therefore no of different possible ways to select a captain and a vice captain :

20C1 × 19C1 = 20 × 19 = 380 Ways


Related Questions

On a pice of paper graph Y + 2 > -3x - 3

Answers

Answer:

Copy this onto a piece of graph paper

Step-by-step explanation:

when graphing you want to make sure  that the slope is correct and the y-intercept is the same

Find each difference.

(2x2-5x-7)-(7x2+3)

PLEASE HELP!!!

Answers

Answer: [tex]-5x^{2} -5x-10[/tex]

Step-by-step explanation:

[tex](2x^{2} -5x-7)-(7x^{2} +3)[/tex]  

subtract by terms.

2x^2 - 7x^2 = -5x^2  

-5x  is the only term so leave it alone

-7-3= -10

-5x^2 -5x -10

Answer:

-5x-48

Step-by-step explanation:

First, simplify the first half,

(2x2-5x-7) --> (4-5x-7) --> (-5x-7+4) --> (-5x-13)

Then, simplify the second half,

(7x2+3) --> (7x5) --> (35)

Finaly put them together

-5x-13-35, subtract like terms

-5x-48

This is the most simplifyed it can get because of the variable.

Hope this helps, if you have a question if you are confused,

Have a good day and if you can, please give me brainliest, it will help a lot. :)

Hawaii has an area of 1.1 x 104 square miles and a
population of 1.2 x 10% people.
Which key strokes on a calculator will give the population
density of Hawaii?

Answers

Answer:

A i think its a A try. it it that looks correct

Answer:

Its B, 1.2EE6/1.1EE4

Step-by-step explanation:

The density is 109.9, and this is the only equation that gives you this answer

i also took the test!

Write the number in standard notation. 4.16 × (10) ^–5

Answers

Answer:

.0000416

Step-by-step explanation:

Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left

Answer:

0.0000416.

Step-by-step explanation:

When 10 is raised to a negative power, that means that the decimal point will be moved to the left a certain number of units.

In this case, it is 10^-5, so the decimal point will move to the left by 5 units.

4.16 * 10^-5 = 000004.16 * 10^-5 = 0.0000416.

Hope this helps!

Please answer this question now

Answers

Answer:

[tex] Area = 400.4 m^2 [/tex]

Step-by-step Explanation:

Given:

∆UVW,

m < U = 33°

m < V = 113°

VW = u = 29 m

Required:

Area of ∆UVW

Solution:

Find side length UV using Law of Sines

[tex] \frac{u}{sin(U)} = \frac{w}{sin(W)} [/tex]

U = 33°

u = VW = 29 m

W = 180 - (33+113) = 34°

w = UV = ?

[tex] \frac{29}{sin(33)} = \frac{w}{sin(34)} [/tex]

Cross multiply

[tex] 29*sin(34) = w*sin(33) [/tex]

Divide both sides by sin(33) to make w the subject of formula

[tex] \frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)} [/tex]

[tex] \frac{29*sin(34)}{sin(33)} = w [/tex]

[tex] 29.77 = w [/tex]

[tex] UV = w = 30 m [/tex] (rounded to nearest whole number)

Find the area of ∆UVW using the formula,

[tex] area = \frac{1}{2}*u*w*sin(V) [/tex]

[tex] = \frac{1}{2}*29*30*sin(113) [/tex]

[tex] = \frac{29*30*sin(113)}{2} [/tex]

[tex] Area = 400.4 m^2 [/tex] (to nearest tenth).

Is anyone here good at geometry? please help

Answers

Answer:

Sin 24 = 0.4067366431 = 0.4

Cos 45 = [tex]\frac{\sqrt{2} }{2}[/tex] = 0.7071067812 = 0.7

Tan 88 = 28.63625328 = 28.6

It will be 28.6, hope this helps!

Determine what type of quadrilateral ABCD is, given the following points. A(1,−1) B(7,1) C(8,−2) D(2,−4). 1.Parralellogram 2.rectangle 3.rhombus 4.square

Answers

Answer:

.

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

You graph them. From Point A to Point B it's rise 2 run 6 just like Point C to Point D. From Point D to Point A it's rise 3 run -1 just like Point C to Point B

819 : 17 =?
Write your answer as a whole number and remainder.
R​

Answers

Answer:

117 R=0

Step-by-step explanation:

819:7= 117 R=0

Can someone tell me the answer it would really help 3(x−2)+1 =

Answers

Step-by-step explanation:

3(x-2)+1

= 3x-6+1

= 3x-5

Answer:

Step-by-step explanation:

3(x-2)+1=

Then distribute, and now you get:

3x-6+1=

Now combine like terms, and now you get:

3x-5=

There is nothing much to do because there isn't a answer for it

Please help it’s urgent

Answers

[tex]\bold{\text{Answer:}\quad \dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{-5x}{8x+7}-\dfrac{6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}+\dfrac{-6x^3}{3x+1}\\\\\\=\dfrac{-5x}{8x+7}\bigg(\dfrac{3x+1}{3x+1}\bigg)+\dfrac{-6x^3}{3x+1}\bigg(\dfrac{8x+7}{8x+7}\bigg)\\\\\\=\dfrac{-15x^2-5x}{(8x+7)(3x+1)}+\dfrac{-48x^4-42x^3}{(8x+7)(3x+1)}\\\\\\=\large\boxed{\dfrac{-48x^4-42x^3-15x^2-5x}{(8x+7)(3x+1)}}[/tex]

A college requires all freshmen to take Math and English courses. Records show that 24% receive an A in English course, while only 18% receive an A in Math course. Altogether, 35.7% of the students get an A in Math course or English course. What is the probability that a student who receives an A in Math course will also receive an A in English course

Answers

Answer:

7.3%

Step-by-step explanation:

Let M = Maths

E = English

P(M ∪ E) = P(M) + P(E) - P( M ∩ E)

From the question:

P(M ∪ E) = 35.7%

P(M) = 18%

P(E) = 24%

P( M ∩ E) = unknown

35.7% = 18% + 24% - P( M ∩ E)

35.7% = 42% - P( M ∩ E)

P( M ∩ E) = 42% - 35.7%

P( M ∩ E) = 7.3%

Therefore, the probability that a student who receives an A in Math course will also receive an A in English course is 7.3%.

Evaluate \dfrac32y-3+\dfrac53z 2 3 ​ y−3+ 3 5 ​ zstart fraction, 3, divided by, 2, end fraction, y, minus, 3, plus, start fraction, 5, divided by, 3, end fraction, z when y=6y=6y, equals, 6 and z=3z=3z, equals, 3.

Answers

Answer:

11

Step-by-step explanation:

Given:

3/2y - 3 + 5/3z

When

y=6

z=3

3/2y - 3 + 5/3z

Substitute the value of y and z

3/2(6) - 3 + 5/3(3)

=18/2 - 3 + 15/3

=9-3+5

=6+5

=11

2.A 1998 Pontiac Grand-Am depreciates in value by 18% on average each year. If the car originally sold for $19995 in 1998, how much would the car be worth in 2012?

Answers

Answer:

Amount of car in 2012 = $1,242.55 (Approx)

Step-by-step explanation:

Given:

Rate of depreciation(d) = 18% = 0.18

Amount of car in 1998 = $19,995

Find:

Amount of car in 2012

Computation:

Number of year(n) = 14 year

[tex]Amount\ of\ car\ in\ 2012 = Amount\ of\ car\ in\ 2012 [1-d]^n[/tex]

Amount of car in 2012 = 19,995[1-0.18]¹⁴

Amount of car in 2012 = 19,995[0.82]¹⁴

Amount of car in 2012 = 19,995[0.0621432458]

Amount of car in 2012 = 1,242.5542

Amount of car in 2012 = $1,242.55 (Approx)

value of k, if (x – 1) is a factor of 4x3
+ 3x2
– 4x + k.

Answers

Answer:

k = - 3

Step-by-step explanation:

Given that (x - 1) is a factor of the polynomial then x = 1 is a root

Substitute x = 1 into the polynomial and equate to zero, that is

4(1)³ + 3(1)² - 4(1) + k = 0, that is

4 + 3 - 4 + k = 0

3 + k = 0 ( subtract 3 from both sides )

k = - 3

PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.

Answers

Answer:

Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of the rectangle = 2 × (5x² - 2x + 3)

= 2 × 5x² - 2× 2x + 2×3

= 10x² - 4x + 6 square units

Please answer in two minutes

Answers

Answer:

Toa

48/55

Step-by-step explanation:

O/A

48/55

PLEASE I NEED THE ANSWERS ASAP!!! Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))

Answers

1. 7
2. 6
3. 3 radical 5
4. 5 radical 2
5. 8 radical 10
6. 2 radical 3
7. -1 + sqrt 3
not completely sure if they’re all correct

1.  √7 × √7  = √[7×7] = √[7²] = 7

2. √18 × √2  = √[18×2] = √36 = √[6²] = 6

3. √45  = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5

4. [tex]\dfrac{\sqrt{50}}{5}=\dfrac{\sqrt{25\cdot2}}{5}=\dfrac{\sqrt{25}\cdot\sqrt2}{5}=\dfrac{5\cdot\sqrt2}{5}=\bold{\sqrt2}[/tex]

5. 2√2 × 4√5  = (2×4) × (√2×√5) = 8×√[2×5] = 8√10

6. √48 - √12  = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3

7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =

                                     = 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1

PLS HELP I NeED to finish this

Answers

Answer:

D. 15

Step-by-step explanation:

Use proportions.

[tex]\frac{35}{25} = \frac{21}{x} \\\\35x = 525\\x = 15[/tex]

please helllppppp........​

Answers

8% lower means the gauge is showing 92% of the original pressure

( 100% - 8% = 92%)

Divide the pressure the gauge is showing by 92%

33.58 / 0.92 = 36.5

The actual pressure is 36.5

Graph the equation y = -x2 + 5x + 24. How do the values of x = 8 and x = -3 on the graph relate to this situation? Find the width of the archway.

Answers

Answer:

The values of x = 8 and x = -3 are the x-intercepts of this equation. The width of the archway is 11 units.

Step-by-step explanation:

Let be [tex]y = -x^{2}+5\cdot x +24[/tex], which is now graphed with the help of a graphing tool, the outcome is included below as attachment. The values of x = 8 and x = -3 are the x-intercepts of this equation, that is, values of x such that y is equal to zero. Algebraically speaking, both are roots of the second-order polynomial.

The width of the archway ([tex]d[/tex]) is the distance between both intercepts, which is obtained by the following calculation:

[tex]d = |x_{1}-x_{2}|[/tex], where [tex]x_{1} \geq x_{2}[/tex].

If [tex]x_{1} = 8[/tex] and [tex]x_{2} = -3[/tex], then:

[tex]d = |8-(-3)|[/tex]

[tex]d = 8 +3[/tex]

[tex]d = 11[/tex]

The width of the archway is 11 units.

54x^3y+ 81x^4y^2 factorise​

Answers

Answer:

I hope it helps you......

If v1 = (2,5) and V2 = (4,-3), then the angle between the two vectors is
Round your answer to two decimal places,

Answers

Answer:

  105.07°

Step-by-step explanation:

The angle of v1 is ...

  arctan(5/2) ≈ 68.199°

The angle of v2 is ...

  arctan(-3/4) ≈ -38.870°

The angle difference between the two vectors is ...

  68.199° -(-38.870°) = 105.07°

AYOOO PLZ HELP ASAP!!!

Answers

Answer:

B.

Step-by-step explanation:

Well we know that

[tex]224=2^{5} *7[/tex]

so we can get the 2 outside of the radical

[tex]x^{11} =(x^{5} )^{2} *x[/tex]

and we can get the x^2 outside too.

[tex]y^8=y^5*y^3[/tex]

and we also can get y outside.

so we have:

[tex]2x^{2}y\sqrt[5]{7xy^3}[/tex]

What is the simplified expression for
2^2 • 2^3 over
24
O 20
O 21
O 22
O 23

Answers

Answer:

(B)[tex]2^1[/tex]

Step-by-step explanation:

We are to simplify the given expression: [tex]\dfrac{2^2 \cdot 2^3}{2^4}[/tex]

Step 1: Apply the addition law of indices to simplify the numerator.

[tex]\text{Addition Law: }a^x \cdot a^y=a^{x+y}[/tex]

Therefore:

[tex]\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}[/tex]

Step 2: Apply the Subtraction law of indices to simplify the expression

[tex]\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1[/tex]

The correct option is B.

what is 1/8 - 7/8 ? ( its a fraction)

Answers

Answer:

1/8-7/8= -3/4

Step-by-step explanation:

1/8-7/8 is just like 7/8-1/8 but is the opposite

7/8-1/8=6/8 or 3/4

1/8+6/8=7/8

1/8-1/8=0

0-6/8= -6/8 or -3/4

Please answer this question now

Answers

Answer:

469.4ft² of 469.4 square feet

Step-by-step explanation:

In the above question, we are given ∆ WXY

In the question, we have the following values already:

Angle W = 27°

Angle X = unknown

Angle Y = 40°

Side w = unknown

Side x = unknown

Side y = 38ft

Area of the triangle= it is unknown as well

First Step

We would determine the third angle = Angle X

Sum of angles in a triangle = 180°

= Angle X= 180° - (27 + 40)°

= 180° - 67°

Angle X = 113°

Second step

Determine the sides w and x

We find these sides using the sine rule

Sine rule =

a/ sin A = b/ Sin B

Hence for triangle WXY

w/ sin W = x/ sin X = y/ sin Y

a) side w

w/ sin W= y/ sin Y

w/sin 27 = 38/sin 40

Cross Multiply

sin 27 × 38 = w × sin 40

w = sin 27 × 38/sin 40

w = 26.83879ft

w = 26.84ft

Finding side x

x / sin X= y/ sin Y

x/ sin 113 = 38/sin 40

Cross Multiply

sin 113 × 38 = x × sin 40

x = sin 113 × 38/sin 40

x = 54.41795ft

x = 54.42ft

To find the area of triangle WXY

We use heron formula, which is given as:

= √s(s - w) (s - x) (s - y)

Where S = w + x + y/ 2

s = (38 + 26.84 + 54.42)/2

s = 59.63

Area of the triangle

= √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)

Area of the triangle = √220343.61423

Area of the triangle = 469.40772706541ft²

Therefore, approximately to the nearest tenth , the Area of ∆WXY =469.4yd²

I don't understand this question! Please help me!!

Answers

Answer:

            262°

Step-by-step explanation:

[tex]m\angle OFB=m\angle OCB=90^o\\\\so\ from\ BCOF:\\\stackrel{\big{\frown}} {CDF} =m\angle COF=360^o-2\cdot90^o-82^o=98^o \\\\\\ \stackrel{\big{\frown}} {CGF} =360^o-\stackrel{\big{\frown}} {CDF} =360^o-98^o=262^o[/tex]

Suppose a triangle has sides 3, 4, and 6. Which of the following must be true? A: The triangle in question is not a right triangle. B: The triangle in question may or may not be a right triangle. C: The triangle in question is a right triangle.

Answers

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

If the triangle is a right triangle, then the Pythagorean theorem would hold

a^2 + b^2 = c^2

3^2 + 4^2 = 6^2

9+16 = 36

25 = 36

This is not true so this is not a right triangle

Answer:

A: The triangle in question is not a right triangle.

Step-by-step explanation:

We can use Pythagorean theorem to check.

a² + b² = c²

3² + 4² = 6²

9 + 16 = 36

25 = 36 (not true)

the value of a plot of land is $18000. Land tax charged at the rate of $0.70 per $100 value. What is the total amount of tax paid for land

Answers

Answer:

126 $

Step-by-step explanation:

1- 18000 / 100 = 180

2- 180 x 0.7 = 126$

The answer is $126!!

Plz help asap 10x^2+11x+3

Answers

Answer:(2x+1)(5x+3)

Step-by-step explanation:

Other Questions
During the current month, Grey Company transferred 60,000 units of finished production out of the Mixing Department at a cost of $6 each. They were transferred to finished goods. The journal entry to record the transfer would be which of the following?a. Finished Goods 360,000Work in Process 360,000b. Finished Goods 360,000Cost of Goods Sold 360,000c. Work in Process 600,000Finished Goods 600,000d. Work in Process 600,000Cost of Goods Sold 600,000 Plz help bcs if i dont finish fail (;`) The chart shows the marginal cost of producing apple pies. A 3-column table titled The cost of pie production has 7 rows. The first column is labeled Pies produced per day with entries 0, 1, 2, 3, 4, 5, 6. The second column is labeled Total cost with entries 0, 1, 1.50, 1.75, 2.25, 3.50, 5. The third column is labeled Marginal cost with entries 0, 1, 0.50, 0.25, 0.50, 1.25, and 1.50. This chart demonstrates that the marginal cost A long solenoid (1500 turns/m) carries a current of 20 mA and has an inside diameter of 4.0 cm. A long wire carries a current of 2.0 A along the axis of the solenoid. What is the magnitude of the magnetic field at a point that is inside the solenoid and 1.0 cm from the wire If 30% of the bases in a particular DNA molecule are guanine (G), what percentage of the bases would be thymine (T)? Explain your reasoning. Which of the following is most closely linked to the author's characterization of Mama as it relates to Japanese culture? A. Despite the absence of several of her children Mama's first concern is to keep the rest of her family together. B. Although she works in a cannery she irons a fresh handkerchief every night to wear to work every morning. C. When Papa refuses to get a job because of his pride, Mama takes up the slack to spare him the shame of "hitting rock bottom". D. She does not seem upset when she finds out the furniture she'd stored before the war has been stolen. Given the coordinate points of the preimage, use the transformation given to provide the points of the image. E(5,1) D(5,1) C(1,0) B(2,3) Rotation: 180 about the origin A "590-W" electric heater is designed to operate from 120-V lines. A)What is its operating resistance? b)What current does it draw? c)If the line voltage drops to 110 V, what power does the heater take? (Assume that the resistance is constant. Actually, it will change because of the change in temperature.) d)The heater coils are metallic, so that the resistance of the heater decreases with decreasing temperature. If the change of resistance with temperature is taken into account, will the electrical power consumed by the heater be larger or smaller than what you calculated in the previous part?a. It will be smaller. The resistance will be smaller so the current drawn will increase, decreasing the power.b. It will be smaller. The resistance will be smaller so the current drawn will decrease, decreasing the power.c. It will be larger. The resistance will be smaller so the current drawn will increase, increasing the power.d. It will be larger. The resistance will be smaller so the current drawn will decrease, increasing the power. A student recorded the height of each student in the school. She then made a bar graph of her results. She observedthat the results form a bell-shaped curve. The student could use her graph as evidence to support which argument?Height is affected by multiple pairs of genes on different chromosomes.tre weles for tall height and short height are codominant.the allele for being tall is dominant to the allele for shorter heights.There are three alleles for height that demonstrate incomplete dominance A number is divided in the ratio 7:2. If the second part is 34, find the number. HELPPPPPPPPPPPPPPPpppp the shapes and forms of land have a big effect on: Smith and Benson make an oral contract for the sale of some land at a price of $500,000. After paying Smith $400,000 of the purchase price, Benson takes possession of the land. One month later, Smith wants to boot Benson off the land. His argument is that the parties' oral agreement is unenforceable under the statute of frauds. Which of the following is most correct?A. Smith is correct, because the contract is for an amount greater than $500.B. Smith is correct, because this is an oral contract for the sale of real estate.C. Smith is incorrect, because the contract is for an indefinite period of time.D. Smith is incorrect, because Benson paid part of the purchase price and took possession. Matter is composed of exceedingly small particles called atoms. An atom is thesmallest unit of an element that can participate in a ------- The population of Oak Forest is increasing at a rate of 4% per year. If the population is 74,145 today, what will it be in three years? For the following information, determine whether a normal sampling distribution can be used, where p is the population proportion, is the level of significance, p is the sample proportion, and n is the sample size.Claim: p >=0.28; :0.08. Sample statistics: p=0.20, n= 180Required:If a normal sampling distribution can be used, decide whether to reject or fail to reject the null hypothesis and interpret the decision. Which of the following statements are true? (mark all that apply) A) Adaptive optics corrects for atmospheric distortion by following the distortion of a bright star, possibly an artificial star created by a laser, and rapidly changing the shape of a mirror using computer-controlled actuators to compensate for the distortion. B) Improvements in technology will eventually allow the entire electromagnetic spectrum to be observed from high mountaintop observatories. C) X rays from astronomical objects can only be detected from telescopes in space or in high altitude rockets. D) The best observing sites for optical telescopes are atop remote mountains. E) Radio telescopes must be carried to high altitudes by balloons in order to detect this type of radiation. Hannigan Lumber employs 155 workers. One of the firm's former employees used the Civil Rights Act of 1991 to file and win a discrimination lawsuit against Hannigan Lumber. What is the maximum amount of punitive damages that the former employee could receive Kaylee has $4,500 for a down payment and thinks she can afford monthly payments of $300. If he can finance a vehicle with a 7%, 4-year loan (assume a 0% tax rate), what is the maximum amount Kaylee can afford to spend on the car? [use the calculation in the text or the online calculators in the resource section] The outer surface temperature of a glass filled with iced water may drop below the dew-point temperature of the surrounding air, causing the moisture in the vicinity of the glass to condense. After a while, the condensate may start dripping down because of gravity.1. True2. False