Mathematics College

Find the number of ways that an organization consisting of 15 members can elect a president, a treasurer, and q secretary. (assuming no person is elected to more than one position)

Answers

Answer 1

Total Members = 15

For electing present number of members = 15

For electing treasurer the numbers of members =14

For electing secretary the numbers of members =13

Find the numbers of possible ways for election of members= ?

Possible ways for election =15*14*13

                                                 =2730

Related Questions

Question 11 Unsaved
Find the domain, period, range, and amplitude of the cosine function.

y = -6cos4x


Answers

For this case we have the following function:
 y = -6cos4x
 The function is defined for all values of x, therefore, the domain is:
 (-inf, inf)
 The range of the function is:
 For x = 0
 y = -6cos (4 (0))
 y = -6cos (0)
 y = -6 (1)
 y = -6
 For x = pi / 4
 y = -6cos (4 (pi / 4))
 y = -6cos (pi)
 y = -6 (-1)
 y = 6
 The range of the function is:
 [-6, 6]
 The amplitude of the function is:
 6
 Answer:
 Domain: (-inf, inf)
 Range: [-6, 6]
 Amplitude: 6

5-2i and 7+6i find the midpoint

Answers

That would be (5, -2) and (7, 6) on complex plane. You can use midpoint formula 

So that would be ((5+7) / 2, (-2+6) / 2) = (6, 2)

So then answer would be 6+2i
Final answer:

The midpoint between the complex numbers 5-2i and 7+6i is 6 + 2i.

Explanation:

To find the midpoint between two complex numbers, we can use the formula:

Midpoint = (Re(z1) + Re(z2))/2 + (Im(z1) + Im(z2))/2i

Applying the formula to the given complex numbers 5-2i and 7+6i, we have:

Midpoint = (5 + 7)/2 + (-2 + 6)/2i
Midpoint = 12/2 + 4/2i
Midpoint = 6 + 2i

Learn more about Midpoint between complex numbers here:

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Ben runs around the track at a pace of 1 lap every 80 seconds. Sally runs on the track in the opposite direction. The two meet every 30 seconds. How long does it take Sally to run each lap around the track?

Answers

48 seconds, Consider what happens between one time that Ben and Sally meet and the next. During this period Ben runs 30 (seconds)/80 (seconds/lap) = 3/8 of a lap. So Sally runs 5/8 lap in the same time. Her speed is therefore 5/8 (laps)/ 30(seconds) which amounts to 1 (lap)/ 48 (seconds).

hello can you please help me posted picture of question

Answers

Total number of numerals = 10
Total number of numerals to be used = 6
We are to find the number of different codes that can be formed and those can be found by permutations.

We have to find the permutations of 10 numerals taken 6 at a time. So we are to find 10P6.

10P6 = 151200

So, 151200 different codes can be formed. 

So the answer to this question is option A

plz help ill give u brainlist plz some one help fast it is esy in just dume

Answers

There are 70 questions. The probability of getting any one of the questions right is 0.2. That's because there are five answers only one of which is correct.

If there are 5 questions and you want to pick the right one the probability is 1/5. If you don't know how to find that, let your calculator walk you to the answer.

1
÷
5
=
And it will tell you that it is 0.2.

So if you blindly (not brainly) fill in the multiple choice answer sheet, the number you will get right is
(P(0.2) * The total number of questions or
0.2 * 70 = 14
Just pure dumb luck will give you 14 correct answers. 

the cost of internet access at a cafe is a function of time the cost for 8, 25, and 40 minutes are shown write the equation in slope-intercept form that represents the function then find the cost of surfing the web at the cafe for one hour

Answers

Answer:

?

Step-by-step explanation:

Where is the graph?

Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.

Answers

To  solve this problem you must apply the proccedure shown below:

 1. You have that the standard form of the equation of the parabola must satisfy the following conditions given in the exercise above:

 Focus: (-1,4) and Directrix: y=2

 2. Therefore you have:

 √(x0-(-1))²+(y0-4)²=|y0-2|
 (x0+1)²+(y0-4)²=(y0-2)²

 3. When you simplify the expression above and clear y0, you obtain:

 y0=y

 y=1/4(x²+2x+13)
 y=(x²/4)+(x/2)+(13/4)

 Therefore, the answer is: y=(x²/4)+(x/2)+(13/4)

A cyclist rides a bicycle with a wheel radius of 0.500 m across campus. a piece of plastic on the front rim makes a clicking sound every time it passes through the fork. if the cyclist counts 320 clicks between her apartment and the cafeteria, how far has she traveled? (a) 0.50 km (b) 1.5 km (c) 1.0 km (d) 0.80 km (e) 1.8 km

Answers

we know that
circumference=2*pi*r
for r=0.50 m
circumference=2*pi*0.50-----> pi m

1 click correspond to a length of--------> pi meter
 320 click---------------> x
x=320*pi-----> x=1005.31 meters-------> 1 km

the answer is
the option (c) 1.0 km

Suppose that the demand equation for a certain item is 1p+1x2−160=0. evaluate the elasticity at 65:

Answers

Price elasticity is defined as [tex]\frac{\Delta(quantity)}{\Delta(price)}[/tex].

Here, the question has omitted to define variables, so we will ASSUME
p=price
x=variable,
and we're given
p+x^2-160=0

We calculate
[tex]\delta{x}/\delta{p}[/tex] by implicit differentiation with respect to p:
1+2x (dx/dp)=0
=>
E(x)=(dx/dp)=-1/(2x)

Therefore the price elasticity at x=65 is
E(65)=1/(2*65) =-1/130 (approximately -0.00769)

The required value of elasticity at x = 65 is -0.007.

Given that,

The demand equation for a certain item is [tex]1p + 1x^{2} -160 = 0[/tex].

We have to determine,

The value of elasticity at 65.

According to the question,

The price elasticity of demand is calculated as the percentage change in quantity divided by the percentage change in price.

Therefore,

Price of elasticity = [tex]\frac{dp}{dx}[/tex]

Calculate change by differentiation with respect to p:

[tex]\dfrac{d(p+x^{2} -160)}{dx}\\\\1 + 2x\frac{dp}{dx} = 0\\[/tex]

Then,

[tex]E(x) = \frac{dp}{dx} = \frac{-1}{2x}[/tex]

Therefore, The elasticity at x = 65 is ,

[tex]E(65) = \frac{-1}{2(65)} = -0.007[/tex]

Hence, The required value of elasticity at x = 65 is -0.007.

For more information about Elasticity click the link given below.

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A video posted on the internet is becoming very popular,and the total number of views is increasing by 40% every hour if the video currently has 38,000 views how many views will it have in 2 hours

Answers

Final answer:

The video with an initial 38,000 views will have approximately 74,480 views in 2 hours when it is increasing by 40% every hour.

Explanation:

To calculate the number of views a video will have in 2 hours if it is increasing by 40% every hour, we will use the formula for percentage growth. Initially, the video has 38,000 views. After one hour, the views will be increased by 40%, and after two hours, this new amount will again be increased by 40%. The formula for calculating the number of views after each hour is:

Views after n hours = Initial views × [tex](1 + growth rate)^n[/tex]

Where:

Initial views = 38,000

Growth rate = 40% = 0.40 (as a decimal)

n = number of hours

After 1 hour:

Views after 1 hour = 38,000 × (1 + 0.40)^1

Views after 1 hour = 38,000 × 1.40 = 53,200

After the second hour, we will use the number of views from the first hour to calculate the increase:

Views after 2 hours = 53,200 × [tex](1 + 0.40)^1[/tex]

Views after 2 hours = 53,200 × 1.40 = 74,480

Therefore, the video will have approximately 74,480 views in 2 hours.

Find the measure of the missing angle of a triangle, if two of its angles are 75 degree and 65 degree respectively. please show work

Answers

The sum of the angles in a triangle is 180°. That is ...
  75° +65° +(missing angle) = 180°
  (missing angle) = 180° -75° -65°
  (missing angle) = 40°

For spring break this year your family decided to visit Michigan, but it snows the first weekend you are there. You decide to make a snowman. If the bottom ball is 3 feet across, the middle ball is 2 feet across, and the top is 1 foot across, how much snow is needed to build the whole snowman? Round your answer to the nearest cubic foot.

Answers

V = 4/3 (pi r times ^3) = formula for this knowing that you than

Combine volumes up (1ft times 3.14) + (2ft times 3.14) + (3ft times 3.14)

18.8 >. rounded to the nearest cubic foot of 19

A test has forty questions worth 100 points.The test consists of True/False questions worth 3 points each and multiple choice questions worth 2 points each. How many multiple choice questions are on the test?

Answers

20 multiple choice questions

Answer:

20 multiple choice questions

Step-by-step explanation:

I hope this help you out

Use ratio to convert the measurement. 3 d = _____h

Answers

Hey there!

Here is your answer:

They proper answer to this question is "72 hours".

Reason:

By using the ratio:

[tex] \frac{3days}{hours} [/tex]

You can see that one day = 24 hours

[tex] \frac{1day}{24hours} [/tex]

Then multiply 24×3=72

[tex] \frac{3days}{72hours} [/tex]

Therefore the ratio is [tex] \frac{3days}{72hours} [/tex]!

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

What is the value of y?



11.6 ft
12.5 ft
16.5 ft
17.5 ft

Answers

we know that

in the triangle BCD
 cos C=8/14
C=arc cos (8/14)-----> C=55.15°

sin C=BD/14---------> BD=14*sin 55.15------> BD=11.49 ft

in the triangle ABC
180=∡A+∡B+∡C
∡A=180-(90+55.15)-----> ∡A=34.85°

tan A=BD/y-------> y=BD/tan A-----> y=11.49/tan 34.85----> y=16.50 ft

the answer is
y=16.50 ft
To solve the exercise shown in the picture attached, you must apply the following proccedure:

 1. First, you must apply the Pythagorean Theorem to calculate the heigth of the triangle, as below:

 a^2=b^2+c^2
 b=√(a^2-c^2)
 b=√(14)^2-(8)^2
 b=√132
 b=11.48

 2. Now, you must calculate the angle ∠BC, as below:

 Sin(α)^-1=opposite/hypotenuse
 Sin(BC)^-1=8/14
 ∠BC=34.84°

 3. Therefore, the angle ∠BA is:
 ∠BA=90°-34.84°
 ∠BA=55.15°

 4. Then, you have:

 Tan(55.15°)=y/11.48
 y=16.48

Looking at the ping-pong ball toss board below, whats the probability of landing on a gray square? (Note the board contains 5 rows of 5 squares.)

Answers

the probability of landing on a gray square = 5/25 = 1/5

answer
D. 1/5

Answer:

Option D. [tex]\frac{1}{5}[/tex] is the correct option.

Step-by-step explanation:

Total number of solution sets n(S) (sample space) = 5×5 = 25

(Since a ping-pong ball can land on any block of the toss board so total number of events which can occur will be = 25)

Now preferred events n(E) = 5

(Since number of grey squares where ping-pong ball can land are = 5)

Therefore probability of landing of ping pong ball on a grey square P(E) = [tex]\frac{n(E)}{n(S)}[/tex]

P(E) = [tex]\frac{5}{25}[/tex]

P(E) = [tex]\frac{1}{5}[/tex]

Therefore, Option D. [tex]\frac{1}{5}[/tex] will be the answer.

One aluminum can weights 1/25 pound. If your school starts a recycling drive how many cans will your school need to collect to recycle one ton?

Answers

Hello!

First you have to find how many cans make a pound

1/25 * 25 = 1

It takes 25 cans to get to 1 pound

There are 2000 pounds in a ton

Multiply the amount of cans to make a pound by the amount of pounds in a ton

25 * 2000 = 50000

The answer is 50,000 aluminum cans

Hope this helps!

Jamie has applied for a credit card. The APR of the card is 20%. What will be the monthly interest rate?

Answers

apr means annual percentage rate and there are 12 months in a year so:

20/12 = 1.67%

Answer:

1.67%

Step-by-step explanation:

The APR of a card is the Annual Percentage Rate. This is the yearly rate of interest that a person has to pay on the money he or she borrowed. Interest is a price that is paid for borrowing money. In this case, if the APR is 20%, we would need to divide this number by the number of months in a year in order to get the monthly interest rate:

20 / 12 = 1.67 %

which best describes the meaning of the term theroem?

Answers

The wording of your question implies that there are answer choices to choose from. I would reupload with an attachment of the answer choices for the most accurate response. If not, here's a picture of the definition of a "theorem." 

it took a ball 1 minute to roll 90 feet. what was ths balls average rate of speed in feet per second

Answers

1.5 ft per second. 

Divide the 90 by 60. 

please help me answer these!!!

Answers

You don't have to look very far in either case. Both answers are "a".

1. Checking selection "a",
  265 =? 35 +20*7 = 35 +140 = 175
  a (7, 265) is NOT a solution

2. Checking selection "a",
  18 =? 5*4 -2 = 20 -2 = 18
  a (4, 18) IS a solution

The current size of an image on Samuel's computer is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 inches and the width is labeled as width equal to 10 inches. What are the dimensions of the image at fraction 1 over 2 times its current size

Answers

Length is equal to 4 and width is equal to 5. 

You can just divide each by 2. 

Answer:

The length and the width of image is  4 inches and 5 inches respectively

Step-by-step explanation:

Given : Length of rectangle is 8 inches

          Width of rectangle is 10 inches

To Find: What are the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

Solution:

Length of rectangle is 8 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, Length of image = [tex]\frac{1}{2} \times 8 = 4[/tex]

Thus the length of image is 4 inches.

Width of rectangle is 10 inches

Since we are given that the dimensions of the image at fraction [tex]\frac{1}{2}[/tex] times its current size

So, width of image = [tex]\frac{1}{2} \times 10 = 5[/tex]

Thus the width of image is 5 inches.

Hence the length and the width of image is  4 inches and 5 inches respectively.

What is the area of the figure?

Answers

see attached picture:

Which of the points listed is the same distance from the y-axis as the point (−1.5, 6)?

Answers

the complete question in the attached figure

we know that
the distance from a point to line (y-axis) is the perpendicular line against y-axis, which is the absolute value of x-coordinates

in this problem
the point (−1.5, 6)
the absolute value of x-coordinates is 1.5
hence 
the distance is 1.5

therefore

the answer is
the option B) the point (1.5,-3)

which transformations are needed to change the parent some function to the sine function below?

Answers

Beginning with the function y = sin x, which would have range from -1 to 1 and period of 2pi:
Vertical compression of 1/2 compresses the range from -1/2 to 1/2
Phase shift of pi/2 to the left
Horizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4pi
Vertical shift of 1 unit up moves the range to 1/2 to 3/2
So the first choice looks like a good answer.
The first choice is the answer:
Solution:the function y = sin x, which would have range from -1 to 1 and period of 2pi:
So the answer would be:Vertical compression of 1/2 compresses the range from -1/2 to 1/2Phase shift of pi/2 to the leftHorizontal stretch to a period of 4pi, as the crests are at -4pi, 0, 4piVertical shift of 1 unit up moves the range to 1/2 to 3/2

How would the expression x^3+8 be written using Sum of Cubes?

Answers

Given expression is:

x³ + 8

8 is the cube of 2, so we can write the above expression as sum of two cubes as:

x³ + 2³

Using the formula of sum of cubes, we can write:

x³ + 2³ = (x + 2)(x² - 2x + 4)

Thus, option B gives the correct answer

jose bought 8 bags of oranges.each bag weighed 12 ounces. there are 16 ounces in a pound.how many pounds of oranges did jose buy

Answers

Hello!

First you have to find the amount of ounces the oranges weigh

To find this you multiply the amount of oranges by the how much they weigh

12 * 8 = 96

Divide this by the amount of ounces is in a pound

96 / 16 = 6

The answer is 6 pounds

Hope this helps!

hey can you please help me posted picture of question

Answers

Answer:
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]

Explanation:
To get the inverse of a function, we will follow these steps:
1- replace f(x) with y
2- swap the x and y variables
3- solve for y
replace y with f⁻¹(x)

Applying this to the given as follows:
f(x) = 7x - 6

Step 1: replace f(x) with y:
y = 7x - 6

Step 2: swap the x and y variables:
x = 7y - 6

Step 3: solve for y:
7y = x + 6
y = [tex] \frac{x+6}{7} [/tex]

Step 4: replace y with f⁻¹(x):
f⁻¹(x) = [tex] \frac{x+6}{7} [/tex]

Hope this helps :)

What is the letter ƒ in mathematics?

Answers

The letter f usually indicates that the equation is a function in the notation f(x). 

Example: f(x) = x + 1

It is a fancier/more proper replacement for the variable 'y'. The same is used for the letter g as in g(x) and h as in h(x). 

OR

It could just be a regular ole variable

Example: f + 1 = 7, solve for f




The letter f usually indicates that the equation is a function in the notation f(x). 


Example: f(x) = x + 1


It is a fancier/more proper replacement for the variable 'y'. The same is used for the letter g as in g(x) and h as in h(x). 


OR


It could just be a regular ole variable


Example: f + 1 = 7, solve for f


If a function is always positive, then what must be true about its derivative? (a) the derivative is increasing (b) the derivative is decreasing (c) the derivative is always positive (d) the derivative is never negative (e) you can't conclude anything about the derivative

Answers

Consider the function [tex]f(x)=x^2+1[/tex], which is always positive. The derivative is

[tex]f'(x)=2x[/tex]

which is negative for [tex]x<0[/tex] and positive for [tex]x>0[/tex]. This example alone tells you that you can't generally describe the sign of the derivative of a strictly positive function, so the answer is E.
Final answer:

Though a function is always positive, it doesn't provide specific information about its derivative. The derivative can be positive, negative, or zero, depending on whether the function is increasing, decreasing, or constant. Hence, we can't definitively conclude anything about the derivative if we only know the function is always positive.

Explanation:

If a function is always positive, it means that its graph lies entirely above the x-axis. However, this fact provides no definitive information about the derivative of the function.

The derivative of a function tells us the rate at which the function is changing. It can be positive, negative, or zero, depending on whether the function is increasing, decreasing, or constant, respectively. However, for a function to be always positive, does not necessarily dictate whether it is constantly increasing, decreasing, or constant.

For instance, consider the function y = x2. This function is always positive for x ≥ 0, but its derivative, which is 2x, is not always positive. It is zero when x = 0 and positive for x > 0. Similarly, think of an undulating curve-like sine function which stays above the x-axis. Its derivative oscillates between positive and negative as the function goes through its crest and trough points.

Therefore, the answer to your question is (e) you can't conclude anything about the derivative just because the function is positive.

Learn more about Derivative of Positive Function here:

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