In Mr. Martins math class there are 15 students out of which 4 will be selected to receive a special award. How many combinations of students can be selected

Answers

Answer 1

Answer:

1365 combinations

Step-by-step explanation:

This is 15C4

= 15!/ (4!11!

= 15*14*13*12 / 4*3*2*1

= 32760/24

= 1365.


Related Questions

1. Find the volume of the prism below. *
22 in
U! 6L
5.5 in
A 294.8 cubic inches
O B 955.9 cubic inches
O C 35.4 cubic inches
OD 179.3 cubic inches

Answers

Answer:

B

Step-by-step explanation:

V= breath times height times width

[tex]22 \times 7.9 \times 5.5 = 955.9[/tex]

help por favor how do i Multiply. Enter the product in simplest form.

Answers

The answer is 3/22 hope its correct

3/4 x 2/11 = 3/22

Step by step explanation

multiply both numerators together: 3 x 2 = 6

multiply both denominators together: 4 x 11 = 44

3 x 2 = 6                   4 x 11 = 44     = 6/44

Divide 6 by 2 and 44 by 2.

6 / 2 = 3

44 / 2 =22

thus your answer is 3/22

Hope this helps! :)

Given: Segment AD is an altitude
Find: BC

Answers

Answer:

[tex]BC=71\text{ units}[/tex]

Step-by-step explanation:

Since AD is an altitude, we know that AD⊥BC by the definition of altitudes.

Then, this means that ∠ADC will be 90° by the definition of perpendicular lines. Therefore:

[tex]12x+6=90[/tex]

Solve for x. Subtract 6 from both sides and then divide by 12:

[tex]12x=84\\[/tex]

[tex]x=7[/tex]

Therefore, the value of x is 7.

BC is the addition of the segments BD and DC. In other words:

[tex]BC=BD+DC[/tex]

We already know the equations of BD and DC. Substitute:

[tex]BC=(5x-7)+(2x+29)[/tex]

Since we know that the value of x is 7, substitute 7 for x and evaluate for BC:

[tex]BC=(5(7)-7)+(2(7)+29))[/tex]

Evaluate:

[tex]BC=(35-7)+(14+29)[/tex]

Evaluate:

[tex]BC=28+43=71[/tex]

Therefore, the value of BC is 71 units.

Answer:

BC = 71

Step-by-step explanation:

12x + 6 = 90

x = 7

5x - 7 + 2x + 29 = 7x + 22

7(7) + 22 = 49 + 22

49 + 22 = 71

BC = 71


What is the lenght of the side opposite the 45 degree angle?

Answers

Answer: 5√2

Step-by-step explanation:

the opposite sides on a 45 45 90 triangle

Look at the image:

Bella wants to tile a wall measuring 1.2 m by 2.16 m. She finds square tiles she likes with side lengths of 10 cm, 12 cm or 18 cm.
Which of these tiles will fit the wall exactly?

Answers

Answer:

Step-by-step explanation:

1.2m = 120 cm

2.16 m = 216cm

120×216 =25920cm

2) 10×18 = 180

25920/180= 144

√144 = 12

I’m super confused about this question as it’s a new topic please help me

Answers

Check the images for steps.

Therefore, the large jar costs less per gram as it is only 0.0035 compared to the small one which is 0.0037 per gram.

Thus, the large jar is the best value for money.

Which expression is equivalent to StartFraction 5 y cubed Over (5 y) Superscript negative 2 Baseline EndFraction? y5 y6 125y3 125y5.

Answers

Answer:

bb

Step-by-step explanation:

Answer:

should be D

Step-by-step explanation:

A mom shared $180 between her 2 daughters in the ratio of 4 : 5 respectively. Calculate how much money is the smaller share?

Answers

the mom cut 180 in 9 parts (4+5)

the smaller share is 180 x 4/9 = $80

What is the surface area of the cube shown?
square centimeters

Answers

The area of one face is length x width:

Area of one face = 6.5 x 6.5 = 42.25 square cm.

There are 6 total faces on a cure.

Total surface area = 42.25 x 6 = 253.5 square cm.

Factor out the greatest common factor in the following polynominal. x^4-8x^3+x^2

Answers

Answer:

The greatest factor of the polynomial is x^2.

To factor out x^2, we divide each term by x^2:

x^2 - 8x + 1

Don't forget to multiply back the x^2:

x^2(x^2 - 8x + 1)

I hope this helped you.

PLEASE HELP 64 POINTS!! I WILL AWARD BRAINLIEST

Answers

Answer:

no solution

Step-by-step explanation:

There are no values of  x  that make the equation true.

No solution

Answer:

5 divide by 8 equal 0.625 + 2 = 2.625 + x= 2.625x and 1-3x equal = 2x(5/6)= 17x

Step-by-step explanation:

A Step-by-step means moving slowly from one stage or level to the next

Don’t worry, we’ll take things one step at a time.

The radius of a circle is 3 m. Find its circumference in terms of pi.

Answers

The circumference of a circle is [tex]2\pi r[/tex]

r is the radius  --> 3m

Circumference = [tex]2\pi (3) = 6\pi[/tex]

It says to leave in terms of pi which means that we won't solve [tex]6\pi[/tex]

Thus the answer is [tex]6\pi[/tex].

Hope that helped!

Just some hw. Also idk hows is your day?

Answers

Answer:

1)  3n²+11n+6

2)  2n²-4n+2

3)  4x²-9

4)  r²-2r-3

5)  4n²+8n+3

6)  3p²-6p+3

Step-by-step explanation:

FOIL

plz tell me u know how to do this

my day will be amazing todayyyyyyyyyyyy bc im getting a new phone aslkdjhfajshdf

What is 232 divided by 4

Answers

Answer: 58

Step-by-step explanation:

1st step: Start by setting it up with the divisor 4 on the left side and the dividend 232

2nd step: The divisor (4) goes into the first digit of the dividend (2), 0 time(s). Therefore, put 0 on top:

3rd step: Multiply the divisor by the result in the previous step (4 x 0 = 0) and write that answer below the dividend.

4th step: Subtract the result in the previous step from the first digit of the dividend (2 - 0 = 2) and write the answer below.Move down the 2nd digit of the dividend (3)

5th step: The divisor (4) goes into the bottom number (23), 5 time(s). Therefore, put 5 on top

6th step:  Multiply the divisor by the result in the previous step (4 x 5 = 20) and write that answer at the bottom. Subtract the result in the previous step from the number written above it. (23 - 20 = 3) and write the answer at the bottom.

7th step: Move down the last digit of the dividend (2). The divisor (4) goes into the bottom number (32), 8 time(s). Therefore put 8 on top

8th step:Multiply the divisor by the result in the previous step (4 x 8 = 32) and write the answer at the bottom. Then Subtract the result in the previous step from the number written above it. (32 - 32 = 0) and write the answer at the bottom.

Therefore, the answer to 232 divided by 4 is by using long division

The required quotient is 58.

Given that 232 ÷ 4.

The long division states that divident = divisor × quotient + remainder.

Let a and b be any real numbers. Consider a ÷ b gives a = b × q + r, that implies q is quotient and r is remainder such that 0 [tex]\leq[/tex] r [tex]\leq[/tex] b.

That implies,

[tex]\begin{array}{ccc}4)&232&(58\\_-&20\\&32&\\_-&32&\\&00&\end{array}[/tex]

Therefore, the required quotient is 58.

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Consider the equation x – 10 = 11 – 2x.

Answers

X=7

3x=11+10
3x=21
The answer is x=7
x = 7 is the answer to the problem

Identify a possible value for X that would make the relation shown in the table not A function. Explain.​

Answers

Answer:

A possible value for X that would not make the table a function would be 5

Step-by-step explanation:

For a table to have a function, you must have a constant rate of change, changing from -1 to 5 and then to 2 would not be a constant rate of change.

Hope this helps!

Please give brainliest!

what is 15 < −5x because i keep getting stuck on this and its really getting me mad

Answers

Answer:

its 3 fam just divide 15 by 5

Step-by-step explanation:

Multiply both sides by -5. Remember to switch the sign around.
75 > x


-
If y varies inversely as the square of , and Y =4/63 when x=3 find y when x=5

Answers

Answer: 20/189

Step-by-step explanation: Y is proportional to x which states that 4/63 is proportional to 3 so when x=5 then it will be 5*4/63/3=20/63/3=20/63*1/3=20/189

What is the exact volume of the cone?
0 4077 cm
10 cm
80
3
π cm²
O
160
3
TT cm
4 cm
o 160 cm
(Please help!!)

Answers

Answer:

[tex]40\pi \: {cm}^{3} [/tex] will be your answer

[tex]\tt V=\dfrac{1}{3}h\pi r^2\\\\V=\dfrac{1}{3}\times 10\times \pi 4^2\\\\V=\dfrac{160\pi }{3}[/tex]

Element X decays radioactively with a half life of 10 minutes. If there are 110 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 18 grams?

Answers

The time taken to the nearest tenth for the element X to decay from 110 g to 18 g is 26.1 mins

How to determine the number of half-lives Original amount (N₀) = 110gAmount remaining (N) = 18  gNumber of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 110 / 18

2ⁿ = 55/9

Take the log of both side

Log 2ⁿ = Log (55/9)

nLog 2 = Log (55/9)

Divide both side by Log 2

n = Log (55/9) ÷ Log 2

n = 2.61

How to determine the time Number of half-lives (n) = 2.61Half-life (t½) = 10 minsTime (t) =?

t = n × t½

t = 2.61 × 10

t = 26.1 mins

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Mandy works construction. She knows that a 555 meter long metal bar has a mass of 40 \text{ kg}40 kg40, start text, space, k, g, end text. Mandy wants to figure out the mass (w)(w)left parenthesis, w, right parenthesis of a bar made out of the same metal that is 333 meters long and the same thickness. What is the mass of the shorter bar?

Answers

Answer:

Answer:

Proportion b. 5/3 = 40/w is the answer and w = 24 kg.

Step-by-step explanation:

it is given in the question that a metal bar was 5 meter long and has a mass of 40 kg. Mandy makes a bar again by using same metal of length 3 meters and mass w.

Since metal of the rods are same so weight per meter of the rod will be same.

mass per meter of 5 meter rod = 40/5

mass per meter of 3 meter rod = w/3

Both are same so

40/5 = w/3 is the proportion Mandy will use.

By using this proportion Mandy will get w = 3×40/5 = 24 kg

Step-by-step explanation:

Alexa can bike home from school an hour and a half faster than she can walk home. her biking speed is 9 miles per hour faster than her walking speed. her school is 6 miles from her home. write an equation that can be used to find her walking speed, w.

Answers

The equation that can be used to find the walking speed is as follows:

w = 6 / x

How to calculate speedspeed = distance / time

Therefore,

let her walking speed = w

The time she can walk home = x hours

time she can bike home = (1.5 + x) hours

bike speed = (9 + w) miles per hours

Her school is 6 miles from her home.

Therefore, the equation that can be used to find the walking speed is as follows.

speed  = distance / time

w = 6 / x

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PLEASE HELP Solve the right triangle.


Round your answers to the nearest tenth.

Answers

Answer:

A = 40°

a = 9.0

b = 10.7

Step-by-step explanation:

The sum of interior angles of a triangle is 180°

⇒ m∠A + 50° + 90° = 180°

⇒ m∠A + 140° = 180°

⇒ m∠A = 180° - 140°

⇒ m∠A = 40°

[tex]\mathsf{\cos(\theta)=\dfrac{adjacent\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side adjacent to the angle = ahypotenuse = 14

[tex]\implies \mathsf{\cos(50)=\dfrac{a}{14}}[/tex]

[tex]\implies \mathsf{a=14\cos(50)}[/tex]

[tex]\implies \mathsf{a=9.0\ (nearest\ tenth)}[/tex]

[tex]\mathsf{\sin(\theta)=\dfrac{opposite\ side}{hypotenuse}}[/tex]

Given:

[tex]\theta[/tex] = 50°side opposite to the angle = bhypotenuse = 14

[tex]\implies \mathsf{\sin(50)=\dfrac{b}{14}}[/tex]

[tex]\implies \mathsf{b=14\sin(50)}[/tex]

[tex]\implies \mathsf{b=10.7\ (nearest\ tenth)}[/tex]

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Let consider the given triangle be ABC

Here, It is given in the question that ,

[tex]\sf{ {\angle} B = 90° }[/tex][tex]\sf{ {\angle} C = 50° }[/tex][tex]\sf{ AC = 14 }[/tex]

Therefore,

By using Angle sum property

It states that the sum of all angles of triangles are equal to 180°

That is,

[tex]\bold{\pink{ {\angle} A + {\angle}B + {\angle}C = 180{\degree}}}[/tex]

Subsitute the required values,

[tex]\sf{ {\angle}A + 90{\degree} + 50{\degree}\: =\: 180{\degree} }[/tex]

[tex]\sf{ {\angle}A + 140{\degree}\: = \:180{\degree} }[/tex]

[tex]\sf{ {\angle}A\: = \: 180{\degree} - 140{\degree} }[/tex]

[tex]\sf{ {\angle}A \: =\: 40{\degree} }[/tex]

Thus, The angle A is 40°

Now,

We have to find the side a and b

We know that,

[tex]\bold{\red{ Sin{\theta} \:=\: }}{\bold{\red{\dfrac{Perpendicular }{Hypotenuse }}}}[/tex]

[tex]\bold{\red{ Cos{\theta} \:=\: }}{\bold{\red{\dfrac{ Base }{Hypotenuse }}}}[/tex]

For side A

[tex]\sf{ Sin\: 40 {\degree} \:= \:}{\sf{\dfrac{ a}{ 14 }}}[/tex]

[tex]\sf{ Sin(}{\sf{\dfrac{2{\pi}}{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{2{\times} 3.14 }{9}}}{\sf{) \:= \:}}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{sin(}{\sf{\dfrac{6.28}{9}}}{\sf{) \:=\: }}{\sf{\dfrac{ a}{14 }}}[/tex]

[tex]\sf{ a \:= \:14 {\times} 0.64}[/tex]

[tex]\sf{ a \: = \:14 {\times} 0.64}[/tex]

[tex]\bold{ a\: =\: 8.96\: \: or \:\:9\:\: (approx) }[/tex]

For Side B

[tex]\sf{ Sin\: 50 {\degree} = }{\sf{\dfrac{ b }{ 14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\pi}}{18}}}{\sf{)\: =\: }}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{5{\times} 3.14 }{18}}}{\sf{ ) \: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{Sin(}{\sf{\dfrac{15.7}{18}}}{\sf{ )\: = \:}}{\sf{\dfrac{ b}{14 }}}[/tex]

[tex]\sf{ b\: = \:14 {\times} 0.76}[/tex]

[tex]\bold{ b\: = \: 10.64\:\: or \:\:10.7\:\: (approx) }[/tex]

Hence, The value of angle A , side a and b is 40° , 9 and 10.7 .

If chocolate chips have 20 calories in 2t how many calories in 3 cups

Answers

Answer:

Please Specify if the chocolate chips are measured in teaspoon or tablespoon?

Step-by-step explanation:

Assuming that the chocolate chips are measured in Teaspoons

given: 20 calories= 2 teaspoons

Now we can say that 48 teaspoons= 1 cup

therefore if 2 teaspoons make 20 calories , how many does 48 teaspoons make?

(48x20)/2 = 480 calories

we can now say that 48 teaspoons =1 cup = 480 calories

3x480=1440

so, 3 cups= 1440 calories

Hope this helps! :)

An airplane is flying at a speed of 350 mph at an angle of 100 degrees. A wind is blowing at 50 mph at an angle of 40 degrees. Find the resulting speed and direction.

Answers

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively.

How to apply vectors to find absolute velocity of the airplane

In this question we must apply vectors in rectangular form to determine the absolute velocity of an airplane. which is the sum of velocity at still air ([tex]\vec v_{A/W}[/tex]) and wind velocity ([tex]\vec v_{W}[/tex]), both in miles per hour. If we know that [tex]v_{W} = 50\,\frac{mi}{h}[/tex], [tex]\theta_{W} = 40^{\circ}[/tex], [tex]v_{A/W} = 350\,\frac{mi}{h}[/tex] and [tex]\theta_{A/W} = 100^{\circ}[/tex], then resulting velocity is:

[tex]\vec v_{A} = 50\cdot (\cos 40^{\circ}, \sin 40^{\circ}) + 350\cdot (\cos 100^{\circ}, \sin 100^{\circ})[/tex]

[tex]\vec v_{A} = (-22.474, 376.822)[/tex]

Whose magnitude ([tex]v_{A}[/tex]), in miles per hour, and direction ([tex]\theta[/tex]), in degrees, are, respectively:

[tex]v_{A} = \sqrt{(-22.474)^{2}+376.822^{2}}[/tex]

[tex]v_{A} \approx 377.492\,\frac{mi}{h}[/tex]

[tex]\theta_{A} = \tan^{-1} \left(\frac{376.822}{-22.474} \right)[/tex]

[tex]\theta_{A} \approx 93.413^{\circ}[/tex]

The resulting speed and direction of the airplane are approximately 377.492 miles per hour and 93.413°, respectively. [tex]\blacksquare[/tex]

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how can we use the study of time measurement's in our time Management? ​

Answers

Answer:

We can measure the amount of time it takes us to complete a task and plan our day accordingly to fit that task in.

What is the answer to this?

Answers

Answer:

-26

Step-by-step explanation:

y=mx+c

x and y are coordinates

m is gradient

c is y-intercept

if x^2 has a number before it, divide c by that number

so -26/1 = -26

karen has 2 gallon bucket that is half full of water. when she poured the water into another bucket, that bucket was one fourth full. how much water will the second bucket hold

Answers

Answer:

1 3/4 gallons

Step-by-step explanation:

A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original?

Histogram with title Hay Bale Toss, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 40, the second goes to 50, the third goes to 30, and the last goes to 20. Histogram with title Pie Eating Contest, horizontal axis labeled Age Group (year) with bins 0 to 19, 20 to 39, 40 to 59, and 60 to 79 and vertical axis labeled Number of People with values from 0 to 60 at intervals of 10. The first bin goes to 20, the second goes to 40, the third goes to 60, and the last goes to 50.

The Hay Bale Toss would be more symmetrical.
The Pie Eating Contest would be less symmetrical.
The Hay Bale Toss would be more skewed.
The Pie Eating Contest would be more skewed.

Answers

Answer:

C

Step-by-step explanation:

Got it right on the flvs

PLEASE HELP ASAP!! . Identify the vertex of the parabola given by f(x) = 2x^2 – 12x + 7.

Answers

The vertex of the parabola will be;

⇒ (3, - 11)

What is an expression?

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

Given that;

The equation is,

⇒ f (x)  = 2x² - 12x + 7

Now,

Since, The equation is,

⇒ f (x)  = 2x² - 12x + 7

It can be written as;

⇒ f (x)  = 2(x² - 6x) + 7

⇒ f (x)  = 2(x² - 6x + 9 - 9) + 7

⇒ f (x)  = 2(x² - 6x + 9) - 18 + 7

⇒ f (x)  = 2 (x - 3)² - 11

By comparing with standard form of parabola y = a (x - h)² + k, we get;

⇒ (h, k) = (3, - 11)

Thus, The vertex of the parabola will be;

⇒ (3, - 11)

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