There are 9 people in an office with 4 different phone lines. If all the lines begin to ring at once, how many groups of 4 people can answer these lines?

Answers

Answer 1
Two groups of four people can answer the lines

Related Questions

What is the end behavior of the function f(x)=54x2?

Answers

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Answer:

  as x → ±∞, f(x) → ∞

Step-by-step explanation:

The function is of even degree, so the end behavior is the same for x → ±∞. The leading coefficient is positive, so the end behavior is f(x) → +∞.

pls find the volume :))

Answers

Answer:

The volume can be found by multiplying these two numbers, which is

65/4 x 1/2

65/8 units^3

Let me know if this helps!

Answer:

8 1/8 units ^3

Step-by-step explanation:

The volume is given by

V = Bh where B is the area of the base and h is the height

V = 16 1/4 * 1/2

Changing to an improper fraction

V = ( 4*14+1)/4 * 1/2

  = (65/4) * 1/2

  = 65/8

Changing back to a mixed number

  = 8 1/8

if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s

Answers

Answer:

Step-by-step explanation:

Let t = 2

h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9

Complete the remainder

Answers

the answer is -14, plug in -3 for x.

Answer:

-14 is the answer for the second term (?)

allowing 20% discount on the marked price of a watch, the value of the watch will be rs 6328, when a VAT of 13% is added find it's marked price​

Answers

Step-by-step explanation:

let , MP =x

then,

discount amount =D% of MP

= (20/100)× x

= 0.2x

now,Sp without VAT = MP-D

=x - 0.2x

= 0.8x

NoW, SP with VAT = Sp without VAT+ VAT %of SP

or ,6328 = 0.8x + 13% of 0.8x

or, 6328 = 0.8x + (13/100) × 0.8x

or, 6328= 0.8x + 0.104x

or,. 6328= 0.904x

or, X= 6328/0.904

X= 7000 Rs.

Hence ,MP is Rs.7000

what song goes whoooooo Iiiiii smoooooooooke ​

Answers

Answer:

Lol yu lateee das "who i smoke by yung ace"

Step-by-step explanation:

Answer:

woogle said woo hoo  by rock a teens

Step-by-step explanation:

A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.

Answers

When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.

The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.

So,

[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]

When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,

[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]

When [tex]t=9[/tex] so,

[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]

nd

[tex]a(9)=-32[/tex]

Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].

To know more about the equation

https://brainly.com/question/12788590

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An urn contains 5 blue marbles and 4 yellow marbles. One marble is​ removed, its color​ noted, and not replaced. A second marble is removed and its color is noted.
(a) What is the probability that both marbles are blue? yellow​?
​(b) What is the probability that exactly one marble is blue​?

Answers

Answer:

(a)The probability that both marbles are blue=5/18

The probability that both marbles are yellow=1/6

(b)The probability that exactly one marble is blue​=5/9

Step-by-step explanation:

Blue marbles=5

Yellow marbles=4

Total marbles=5+4=9

(a)

Probability of drawing first  blue marble=5/9

Probability of drawing second blue marble without replacement=4/8

The probability that both marbles are blue

[tex]=\frac{5}{9}\times \frac{4}{8}=\frac{5}{18}[/tex]

Probability of drawing first  yellow marble=4/9

Probability of drawing second yellow marble without replacement=3/8

The probability that both marbles are yellow

[tex]=\frac{4}{9}\times \frac{3}{8}=\frac{1}{6}[/tex]

(b)

The probability that exactly one marble is blue​

=Probability of first blue marble (Probability of second yellow marble)+Probability of first yellow marble (Probability of second blue marble)

The probability that exactly one marble is blue​

=[tex]\frac{5}{9}\times \frac{4}{8}+\frac{4}{9}\times \frac{5}{8}[/tex]

=[tex]\frac{5}{18}+\frac{5}{18}[/tex]

=[tex]\frac{10}{18}=\frac{5}{9}[/tex]

Does the graph represent a function and if so, why?


A) Yes, there is more than one ordered pair in this list.
B) Yes, no two sets of ordered pairs occupy the same location.
C) No, some of the ordered pairs in this list have the same second element.
D) No, some of the ordered pair in this graph have the same first element.

Answers

Answer:

D

Step-by-step explanation:

if you draw any vertical line through a function it should have a max of one intersection point so if the graph, reading from left to right doubles back on itself, it is not a function

Question 8 of 10
If f(x) = 4x2 and g(x) = x+1, find (f•g)(x).
A. 4X2 + 1
B. 4x2 + 4x2
C. 4(x+1)
D. 4x(x)
SURVIT

Answers

Answer:

option c is the answer for your question

Amy works 40 hours a week and gets paid 15.50 an hour. Tom works 40 hours a week and gets paid 10 an hour. How much does Amy earn per week? How much does Tom get pay for week?

Answers

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Answer:

  Amy: $620

  Tom: $400

Step-by-step explanation:

The pay for 40 hours (1 week) is 40 times the pay for 1 hour:

  Amy: 40 × $15.50 = $620 . . . . Amy's pay for 1 week

  Tom: 40 × $10.00 = $400 . . . . Tom's pay for 1 week

(4.8 × 10⁷) + 6,500,000

Answers

Answer:

5.45 * 10^7

Step-by-step explanation:

[tex](4.8 * 10^7) +6,500,000[/tex]

= [tex](4.8 * 10^7) + 6.5 * 10^6[/tex]

= [tex](4.8 * 10^7) + (0.65 * 10^7)[/tex]

= [tex]5.45 * 10 ^7[/tex]

Solve using the addition principle. 3y - 11 ≤ 2y - 2

Answers

Answer:

y  ≤  9

Step-by-step explanation:

3y - 11 ≤ 2y - 2

Subtract 2y from each side

3y-2y - 11 ≤ 2y-2y - 2

y - 11 ≤  - 2

Add 11 to each side

y - 11+11 ≤  - 2+11

y  ≤  9

Answer:

[tex]y \leqslant 9[/tex]

Step-by-step explanation:

[tex]3y - 11 \leqslant 2y - 2 \\ 3y - 2y \leqslant 11 - 2 \\ y \leqslant 9[/tex]

Maria reads 3/5 chapters in 5/6 hours whats the unit rate?

Answers

Answer: 18/25 chapters / hour

Step-by-step explanation:

Concept:

Here, we need to know the idea of unit rate.

A unit rate is a rate with 1 in the denominator.

In simple words, the unit rate is something per one thing. For example, when you go to a store, you bought a book that is priced at $10. In actually meaning, it is $10 per book, or $10/book.

Solve:

Given formula

Unit rate = Number of chapters / Hours

Substitute the value into the formula

Unit rate = (3/5) / (5/6)

Convert to multiplication by taking the reciprocal of the divisor

Unit rate = (3/5) · (6/5)

Numerator times numerator / denominator times denominator

Unit rate = (3 × 6) / (5 × 5)

Unit rate = 18 / 25 chapter / hour

Hope this helps!! :)

Please let me know if you have any questions

The unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.

How to determine the unit rate

To calculate the unit rate, we're trying to find out how much of something (in this case, chapters) happens in a single unit of another thing (time, in hours).

In this scenario, Maria reads 3 out of 5 chapters in 5 out of 6 hours. To find the unit rate, we divide the chapters read (3/5) by the time taken (5/6 hours):

Unit Rate = Chapters Read / Time Taken

= (3/5) / (5/6)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

Unit Rate = (3/5) * (6/5)

= (3 * 6) / (5 * 5)

= 18 / 25

So, the unit rate is 18/25 chapters per hour. This means Maria is reading at a rate of 18/25 chapters in one hour.

Learn more about unit rate at https://brainly.com/question/19493296

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If one ruler and three pencils cost N120 and two
rulers and one pencil cost N140. Find the cost of
one ruler and one pencil

Answers

Answer:

N80

Step-by-step explanation:

One ruler is N60 and one pencil is N20.

If ‘BOXES’ is OBXSE, then BOARD is

Answers

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Answer:

  OBADR

Step-by-step explanation:

The first two letters are swapped, and the last two letters are swapped.

  BOARD . . . becomes

  OBADR

Help me with this question plz

Answers

19. 68 because 90seconds 1hr 30 mons

7m = 49 solve the equation by trial and error method​

Answers

Trial and error specifies that you should guess the value of m and see if you aimed too low too high then adjust your next guess based on that.

Suppose we don't already know what m is (even though it is completely obvious), let's pick m to be 6,

So we check, [tex]7\cdot6=42[/tex] but [tex]35\lt49[/tex] which means m must be bigger.

So we pick m to be 8 and check, [tex]7\cdot8=56[/tex] but [tex]56\gt49[/tex] which means m must be smaller.

Since only natural number between 6 and 8 is 7 we pick m to be 7 and check, [tex]7\cdot7=49[/tex] and [tex]49=49[/tex].

The answer is therefore 7.

Hope this helps :)

Find the numerical value of the area under the normal curve given the following information:

less than z = -0.06

enter your answer as a decimal (NOT percentage) and lead with a zero...for example: 0.1234

Answers

Answer:

.4761

I have a feeling that you are not quite getting the concept of these questions

a "Z" table "maps" a value (x-mu/sigma) to a number on a z-table chart

Your calculator has the function but the chart is simple for this questions

the numbers IN the chart represent "the percent UNDER THE NORMAL CURVE"

a z =0 is the MIDDLE so it is 50%

your questions is negative so it is to the left of the "middle"

all you have to do is find the z number on the chart and that is the answer to this question

Step-by-step explanation:

ABCD is rectangle with diagonals AC and BD meeting at point O. Find x if OA = 5x-7 and OD=4x-5

Answers

Hope this helps have a nice day

Can anyone help please?

Answers

Answer:

part 1:

a) After 37.72 years, there will be $270,183.29421

b) After 11.9 years, there will be double the amount originally put in the account(60,015.17148)

part 2:

38 years

Step-by-step explanation:

a)

30000(1.06)^t

t=37.72

30000(1.06)^37.73 = 270,183.29421

b)

30000(1.06)^t

t=11.9

30000(1.06)^11.9 = 60,015.17148

part 2)

37.72 rounded to the nearest tenth is 38

... select this as the brainliest please!!...

If DF =61 and EF = 18 find DE

Answers

Answer: DE = 79

Concept:

Here, we need to know the idea of segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that points D, E, F are collinear, thus they would form a segment and F would be the point between D and E. If it was, you may refer to my answers. If it was not, you may tell me and I will redo it.

Given information

DF = 61

EF = 18

Given expression deducted from the segment addition postulate

DE = DF + EF

Substitute values into the expression

DE = (61) + (18)

Simplify by addition

[tex]\boxed{DE=79}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

If a house is worth $125,000 and depreciates by 7.5% per year, how much is it worth in two years

Answers

Answer:

Solution given;

principal [P]=$125,000

depreciated rate[R]=7.5%

time[t]=2 years

worth price of house [A]=???

we have

Worth price[A]=[tex]\large \bold P(1-\frac{R}{100})^{t}[/tex]

=[tex]125,000(1-\frac{7.5}{100})^{2}[/tex]

=125,000*0.925²

=125,000*0.855625

=106953.125

its worth price is $106953.125

Tom and Harry are racing go-carts.Tom takes 2mins 8seconds to complete a lap while Harry takes 2minutes to complete a lap.They both start from the start line at the same time.when will they next cross the start line together? show all the workings.​

Answers

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Answer:

  after 32 minutes

Step-by-step explanation:

They will both cross the start line together after each has completed a number of full laps in the same time that the other has completed an integer number of full laps. That time will be the least common multiple (LCM) of their lap times, 128 seconds and 120 seconds.

The difference of these times (8 seconds) is also a divisor of both times, so that value is the greatest common divisor (GCD) of the two lap times. The LCM can be figured as ...

  LCM(120, 128) = 120×128/GCD(120, 128)

  LCM = 120×128/8 = 1920 . . . . . seconds

Converting this to minutes, we get ...

  (1920 s)/(60 s/min) = 32 min

They will next cross the start line together after 32 minutes.

Find how many quarts of 4​% butterfat milk and 1​% butterfat milk should be mixed to yield 75 quarts of 3​% butterfat milk. The mixture should contain ___ quarts of the 4​% butterfat milk.

Answers

Answer:

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

5.
The width of a rectangle is one foot more than a third of the length. If the
perimeter is 42 feet, what is the width? What is the length?

Answers

Well, the formula for the perimeter of a rectangle is:
2l + 2w.
So, by plugging in our values of the length and width, we can easily find an answer:
length = L
width = 1 + L ( 1/3 )
2 ( L ) + 2 ( L ( 1/3 + 1 ) = 42
2l + 2/3( L ) + 2 = 42
8/3 ( L ) = 40
L = 40 * 3/8
L = 15
Therefore, the length is 15 and the width is 6.

A Circuit has a 5000 V power supply(AC), A load resistance of 4 ohms and open switch how much Current will flow in a circuit as it is ?

Answers

Answer:

1250 amps

Step-by-step explanation:

V = 5000 V

R = 4 ohms

Use ohms law: V = IR

5000 =I(4)

I = 1250 amps

What is the value of |-6|-|6| -(-6)

Answers

Answer:

6

Step-by-step explanation:

Solve the absolutes: |-6| becomes 6

and |6| doesn't change and still is 6

Substitute: 6-6-(-6)

- * - = +

6-6+6 = 6

Which best describes the relationship between the line that passes through the points (6, -1) and (11, 2) and the line that passes through the
points (5-7) and (8-2)?

Answers

Answer:

D. Neither perpendicular nor parallel

Step-by-step explanation:

Let's find the slope (m) of both lines:

✔️Slope (m) of the line that passes through (6, -1) and (11, 2):

Slope (m) = change in y/change in x

Slope (m) = (2 -(-1))/(11 - 6) = 3/5

✔️Slope (m) of the line that passes through (5, -7) and (8, -2)

Slope (m) = change in y/change in x

Slope (m) = (-2 -(-7))/(8 - 5) = 5/3

✅The slope of both lines are not the same, therefore they are not parallel nor same line.

Also, the slope of one is not the negative reciprocal of the other, therefore they are not perpendicular.

26) What is the perimeter of a rectangle whose
lengths are 9x + 5 and widths are 7x + 2?

Answers

Answer:

32х+14

Step-by-step explanation:

[tex]2(9x + 5 + 7x + 2) \\ 18x + 10 + 14x + 4 \\ 32x + 14[/tex]

Answer:

32x + 14

Step-by-step explanation:

The opposite sides of a rectangle are equal, so

perimeter = 2(9x + 5) + 2(7x + 2) ← distribute parenthesis

                 = 18x + 10 + 14x + 4 ← collect like terms

                 = 32x + 14

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