rule for 15,19,23 please I need it urgently ​

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 4n + 11

Step-by-step explanation:

There is a common difference between consecutive terms, that is

19 - 15 = 23 - 19 = 4

This indicates the sequence is arithmetic with explicit rule

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 15 and d = 4 , then

[tex]a_{n}[/tex] = 15 + 4(n - 1) = 15 + 4n - 4 = 4n + 11


Related Questions

The storage center sells rectangular storage spaces that are each 200 cubic feet. Each space is 5 feet long and 5 feet wide. What is the height of each storage space?

Answers

Answer:

h=8ft

Step-by-step explanation:

[tex]v = l \times w \times h[/tex]

[tex]h = \frac{v}{l \times v} = \frac{200}{5 \times 5} = 8[/tex]

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.

Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.

Answers

Answer:

56

Step-by-step explanation:

Answer: 0.0062

Step-by-step explanation:

length 21cm area 315cm2 find the breath ​

Answers

Answer:

Breadth = 15 cm

Step-by-step explanation:

Area = length x breadth

315 = 21 x breadth

[tex]\frac{315}{21} = \frac{21}{21} \times breadth[/tex]                 [ dividing both sides by 21 ]

[tex]15 = 1 \times breadth\\\\breadth = 15 \ cm[/tex]

___________________________________

Symbols of:

[tex]\quad\quad\quad\quad\tt{A = A rea}[/tex]

[tex]\quad\quad\quad\quad\tt{ l = length} [/tex]

[tex]\quad\quad\quad\quad\tt{ b \: = breadth} [/tex]

Given that:

[tex]\quad\quad\quad\quad\tt{A = 315 {cm}^{2} }[/tex]

[tex]\quad\quad\quad\quad\tt{l = 21cm}[/tex]

[tex]\quad\quad\quad\quad\tt{b = \: ? }[/tex]

Formula for breadth (b):

[tex]\quad\quad\quad\quad\tt{breadth = \frac{Area}{length} }[/tex]

Solution:

[tex]\quad\quad\quad\quad\tt{b = \frac{315 {cm}^{2} }{21cm} }[/tex]

[tex]\quad\quad\quad\tt{\:\:b = {15cm}}[/tex]So, the breadth (b) is:

[tex]\quad\quad\quad\quad\tt \boxed{ \boxed{ \color{magenta}{b = 15cm }}}[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset ® Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved.​

Answers

Answer:

we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm

The graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8

The function is given as:

[tex]f(x) = -2x + 8[/tex]

The above function is a linear function.

A linear function is represented as:

[tex]y =mx + c[/tex]

Where:

m represents the slope, and c represents the y-intercept.

So, by comparison;

[tex]m =-2[/tex]

[tex]c = 8[/tex]

This means that the graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8

See attachment for the graph of the function

Read more about linear functions at:

https://brainly.com/question/15602982

Write .125 as a fraction reduced to lowest terms.

Answers

Answer:

125 as a fraction is 1/8.

0.125 = 125/1000. We can reduce this to lowest terms by dividing the numerator and denominator by 125 to get the equivalent fraction 1/8.

Step-by-step explanation:

hey mate hope it cleared your problem!!

What is the slope of the line?​

Answers

Answer:

3/1

Step-by-step explanation:

Answer:

[tex]-3[/tex]

Step-by-step explanation:

The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3

Hope this helps

Which mathematical operation changes 2amd 1/3 to 2

Answers

the addition sign thus 2+1÷3=2

What are some easy ways to find the value of
(2017^4−2016^4)/(2017^2+2016^2) without calculator

Answers

Answer:

4033

Step-by-step explanation:

An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:

a^2 = 2017^4

a = 2017^2

b^2 = 2016^4

b = 2016^2

Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:

[tex]\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}[/tex]

We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by [tex]\frac{2017^2+2016^2}{2017^2+2016^2}[/tex] which is just one, and will simplify the fraction to just:

2017^2 - 2016^2

This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:

(2017 + 2016)(2017 - 2016)

And, without using a calculator, this is easy to simplify:

(4033)(1)

4033

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 14 cups of​ coffee, using 204 ounces of​ coffee, while collecting a total of ​$16.70. How many cups of each size did Kyle​ fill?
Kyle filled ___ ​10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

Step-by-step explanation:

Let 10-oz, 14-oz, and 20-oz coffees be represented by the variables a, b, and c, respectively.

Since a total of 14 cups of coffee was served:

[tex]a+b+c=14[/tex]

A total of 204 ounces of coffee was served. Therefore:

[tex]10a+14b+20c=204[/tex]

A total of $16.70 was collected. Hence:

[tex]0.95a+1.15b+1.5c=16.7[/tex]

This yields a triple system of equations. In order to solve a triple system, we should isolate the system to only two variables first.

From the first equation, let's subtract a and b from both sides:

[tex]c=14-a-b[/tex]

Substitute this into both the second and third equations:

[tex]10a+14b+20(14-a-b)=204[/tex]

And:

[tex]0.95a+1.15b+1.5(14-a-b)=16.7[/tex]

In this way, we've successfully created a system of two equations, which can be more easily solved. Distribute:

For the Second Equation:

[tex]\displaystyle \begin{aligned} 10a+14b+280-20a-20b&=204\\ -10a-6b&=-76\\5a+3b&=38\end{aligned}[/tex]

And for the Third:

[tex]\displaystyle \begin{aligned} 0.95a+1.15b+21-1.5a-1.5b&=16.7\\ -0.55a-0.35b&=-4.3\end{aligned}[/tex]

We can solve this using substitution. From the second equation, isolate a:

[tex]\displaystyle a=\frac{1}{5}(38-3b)=7.6-0.6b[/tex]

Substitute into the third:

[tex]-0.55(7.6-0.6b)-0.35b=-4.3[/tex]

Distribute and simplify:

[tex]-4.18+0.33b-0.35b=-4.3[/tex]

Therefore:

[tex]-0.02b=-0.12\Rightarrow b=6[/tex]

Using the equation for a:

[tex]a=7.6-0.6(6)=4[/tex]

And using the equation for c:

[tex]c=14-(4)-(6)=14-10=4[/tex]

Therefore, Kyle filled 4 10-oz cups, 6 14-oz cups, and 4 20-oz cups.

An isosceles triangle has legs of length 12 and base angles that measure 28°. What is the measure of its base to the nearest tenth? Be careful on this one.

Answers

Answer:

base = 21.2

Step-by-step explanation:

Let the base be 2x

Drawing a perpendicular bisector divides the bases into 2 equal parts.

Then using trigonometric ratio :

[tex]cos \theta = \frac{adjacent}{hypotenuse}[/tex]   , [tex][ \ where \ \theta = 28^{ \circ} , \ adjacent = x,\ hypotenuse = 12 \ ][/tex]

The trigonometric function gives the ratio of different sides of a right-angle triangle. The length of the base of the isosceles triangle is 21.19 units.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In order to solve the problem, we will draw a line between the triangle such that it will bisect the angle at the top(∠A) and the base(BC). As shown in the image below.

Now, as we know that the line(AD) is perpendicular to the base(BC) of the isosceles triangle, therefore, using the function of trigonometry in the Δ ABD we can write,

[tex]Cos \theta=\dfrac{BD}{AB}\\\\\\Cos (\angle B)=\dfrac{BD}{12}\\\\\\Cos 28^o \times 12={BD}\\\\BD = 10.5953[/tex]

Now, we know that the line BD divides the base BC into two equal parts, therefore, BD=BC.

BC = BD + DC

BC = 10.5953 +10.5953

BC = 21.19 units

Hence, the length of the base of the isosceles triangle is21.19 units.

Learn more about Trigonometric functions:

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Given a line passes through point (5,8) and the origin, find the equation of the line.
y=

Answers

Answer:

y = 8/5x

Step-by-step explanation:

I'm assuming that they're asking for the equation in point-slope form.

The formula is y=mx+b where:

m = slope

b = y intercept

However, the y intercept is just (0,0) so b = 0

To find the slope we already have 2 given points: (0,0) and (5,8)

To find slope you do rise/run and you get 8/5

Substitute the slope & y intercept in the formula:

y = 8/5x

Let me know if I'm wrong!!

Answer:

y=8/5x

Step-by-step explanation:

Hi there!

We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).

There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept

first, let's find m (slope)

The formula for the slope calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points

we have two points, but let's label their values to avoid any confusion

[tex]x_{1}[/tex]=5

[tex]y_{1}[/tex]=8

[tex]x_{2}[/tex]=0

[tex]y_{2}[/tex]=0

now substitute into the formula

m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

m=[tex]\frac{0-8}{0-5}[/tex]

multiply

m=[tex]\frac{-8}{-5}[/tex]

divide

m=8/5

The slope of the line is 8/5

here's the equation so far

y=8/5x+b

now we need to find b

as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b

let's take (0,0) as an example

substitute 0 as x and 0 as y

0=8/5(0)+b

multiply

0=0+b

add

0=b

substitute 0 as b into the equation

Therefore the equation of the line is:

y=8/5x (the 0 is not necessary)

Hope this helps! :)

In a school there are totally 108 students in the third, fourth, and fifth grades. The third grade has 11 fewer students than the fourth grade, and the fourth grade has 16 more students than the fifth grade. How many students are there in each grade?

Answers

Answer:

there are about 36 students in each grade.

Step-by-step explanation:

divide the total amount of students by the amount of grades. 108/3 = 36

What is the area of the grey matting in this 8” by 10” picture frame if the picture to be framed is 4” x 6”? picture frame 64 square inches 56 square inches 24 square inches 80 square inches

Answers

Your answer would be 841 inches

Answer:

so if 8x10 is 80 and 4x6 is 24 then take 24 of 80 you get 56

Mckenna kept track of the number of miles she rode her horse each day for 2 weeks 3.2.8, 8, 2,8, 8, 10, 4, 0, 0, 0, 0, 0, 0, 0 Part A Find the measures of center and variability that best summarize Mckenna's data. Use the dropdown menus to explain your reasoning, Choose The Choose is the best measure hours, is the best measure of center, so the Chooso... of variability LIVE Part 1 Mckenna says that she typically rides her horse for about 6 hours because the mode is 6. Is Mokenna's conclusion appropriate? Use the dropdown menus to explain your reasoning, Mckenna's conclusion Choose... accurate. The mode of her data Choose... 6 hours. However, Choose... than half of the time, she spends Choose.... than 6 hours riding her horse.

Answers

Answer: 110

Step-by-step explanation:

I did it it’s correct :)

By mistakenly using π as 3, the area of a circle was found to be 147cm2. Taking π to be 22/7 the true area, in cm2, is​

Answers

Answer:

pie times radius square is equal to 147

when pie is 3, radius square is 49

radius is equal to 7

actual pie r square is 22/7 times 7 times 7 is 154

Step-by-step explanation:

ans is 154

jos3ph has 16 meters of rope he wants to cut pieces of rope that are 0.2meters long how many prices can be cut

A 3.2

B8

C32

D80​

Answers

Answer:

D.80

Step-by-step explanation:

You need to divide thus

16m/0.2m=80m

These are two similar triangles. What is the measure of X?

Answers

Answer:

18

Step-by-step explanation:

just type the thing in the calculator

The measure of x for the given similar triangle will be 18 units.

What is a triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

In a triangle, the sum of all three angles is 180°

The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.

By similar triangle rule ;

If two triangles are similar then the ratio of the corresponding side will be the same.

So,

x/12 = 24/(12+4)

x/12 = 1.5

x = 18 units.

Hence the measure of x will be 18 units.

For more information about triangle

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What is the highest common factor of 60 and 70.

Answers

10 is the highest common factor of 60 and 70

The following data represent the weights in pounds of a sample of 25 police officers:

164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.

Required:
a. Determine the location and value of the lower quartile of the weights
b. Determine the location and value of the upper quartile of the weights.
c. Find the interquartile range of the weights.

Answers

Given:

The data values are:

164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.

To find;

a. Lower quartile.

b. Upper quartile.

c. Interquartile range.

Solution:

We have,

164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, 171.

Arrange the data values in ascending order.

134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157, 162, 163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177.

Divide the data values in two equal parts.

(134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177)

Divide each parentheses in two equal parts.

(134, 137, 140, 145, 146, 148), (151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169), (171, 172, 173, 174, 174, 177)

a. Location of lower quartile is:

[tex]Q_1=\dfrac{1}{4}(n+1)\text{th term}[/tex]

[tex]Q_1=\dfrac{1}{4}(25+1)\text{th term}[/tex]

[tex]Q_1=\dfrac{26}{4}\text{th term}[/tex]

[tex]Q_1=6.5\text{th term}[/tex]

The lower quartile of the weights is:

[tex]Q_1=\dfrac{148+151}{2}[/tex]

[tex]Q_1=\dfrac{299}{2}[/tex]

[tex]Q_1=149.5[/tex]

Therefore, the location of the lower quartile of the weights is between 6th term and the 7th term. The value of the lower quartile is 149.5.

b. Location of upper quartile is:

[tex]Q_3=\dfrac{3}{4}(n+1)\text{th term}[/tex]

[tex]Q_3=\dfrac{3}{4}(25+1)\text{th term}[/tex]

[tex]Q_3=\dfrac{3\cdot 26}{4}\text{th term}[/tex]

[tex]Q_3=19.5\text{th term}[/tex]

The upper quartile of the weights is:

[tex]Q_3=\dfrac{169+171}{2}[/tex]

[tex]Q_3=\dfrac{340}{2}[/tex]

[tex]Q_3=170[/tex]

Therefore, the location of the upper quartile of the weights is between 19th term and the 20th term. The value of the upper quartile is 170.

c. The interquartile range of the given data set is:

[tex]IQR=Q_3-Q_1[/tex]

[tex]IQR=170-149.5[/tex]

[tex]IQR=20.5[/tex]

Therefore, the interquartile range of the weights is 20.5.

The survey of a group of students showed that 50 like tea,40 liked coffee,35 liked milk,20 liked coffee as well as tea,18 liked tea as well as milk,12 liked coffee as well as milk and 7 liked all three. If every students liked at least one drink, how many students were asked this question ? Solve it by drawing a Venn- diagram.​

Answers

Answer:

82

Step-by-step explanation:

The club will use the plurality criterion without elimination method to determine the final winner. Parker wins the contest by receiving 56 votes. However, while finalizing the votes, a member of the club discovers that Myers did not meet the original criteria to be considered for the tickets, so Myers is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion violated in this case?

Answers

Answer:

No

Explanation:

The independent irrelevant alternative criterion is not violated here. The law of irrelevant alternative criterion holds that if candidate A is liked more than candidate B then a new candidate C who is liked less than candidate A should not spoil the victory of Candidate A, so that candidate B wins.

In the example in the question, candidate Parker was the preferred candidate before the elimination of candidate Myers and so will still be the winner of the election, therefore the irrelevant alternative criterion has not been violated.

((X + 2) + (y - 5) =1​

Answers

Answer:

on like term

Step-by-step explanation:

x+2)=(y-5)=2+5=7

x-y{x-y]=7x-y

by Emmanuel okorie

Q.1 You are Nu.9 in debt. You borrowed Nu. 15 more. What is the total amount of your debt?​

Answers

Answer:

total of it is Nu.24

Step-by-step explanation:

just add all up into

9 + 15 = 24

đường cầu về tiền có hướng nghiêng dốc xuống thể hiện?

Answers

Ý bạn là sao? Bạn có thể cung cấp thêm thông tin hay hình ảnh không?

whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble

Answers

Answer: 3/14

Step-by-step explanation:

Number of red marbles = 4

Number of green marbles = 6

Number of white marbles = 1

Number of blue marbles = 3

Total number of marbles = 14

Therefore, the probability of drawing one blue marble will be:

= Number of blue marbles / Total number of marbles

= 3/14

Consider the function
f(x) = 327
=
As x + -00, then f(x) approaches what?
O A O
OB) 7
C) –00
C
D) 3
Ouestion 3 (1 point)

Answers

i think it’s B i will check and come back

A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?

Answers

the probability of it is 2/5

Question 5(Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (2,-2) and (0, -2)?
O y = 0
Ox= -2
O y = -2
Ox=0

Answers

the answer is number 2

Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for t hours?
Cost for 5 hours:
Cost for t hours:

Answers

Answer:

Cost = 11 + 4*t

Step-by-step explanation:

Cost = 11 + 4*t

Part A

t = 5 hours.

Cost = 11 + 4*5

Cost = 11 + 20

Cost = 31

Part B

time = t hours.

Cost = 11 + 4*t

Answer:

for 5h he would need to pay $20 ( +$11 ) $31

i dont know what T is so ya :/

REIVIAINING
29:07
LS
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to
tip at 20%, what should she pay if she doesn't want to leave pennies on the table?
O $0.55

Answers

Answer:

$5.30 :DDD

Step-by-step explanation:

SO WHAT YOU DO IS 26.50 X 0.20 AND YOU WILL GET 5.30 SO BAM

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Explain and describe how the photoelectric effect occurs on an atomic level in terms of protons, neutrons, and electrons PLEASE HELP ME OUT!! ((ANSWER CORRECTLY OR BE REPORTED)) All Along the Watchtower - Jimi Hendrix There must be some kind of way outta here Said the joker to the thief There's too much confusion I can't get no relief Business men, they drink my wine Plowmen dig my earth None will level on the line Nobody offered his word Hey, hey No reason to get excited The thief, he kindly spoke There are many here among usWho feel that life is but a joke But, uh, but you and I, we've been through that And this is not our fate So let us stop talkin' falsely now The hour's getting latehey Hey All along the watchtower Princes kept the view While all the women came and went Barefoot servants, too Well, uh, outside in the cold distance A wildcat did growl Two riders were approaching And the wind began to howl, hey All along the watchtower All along the watchtower Lyric Analysis: 1. What do you think this song is about? 2. Who are the people in it and what are their lives like? 3. What meaning does this song have? 4. What ideas does it want you to have when you listen to it? 5. Does the artist use poetic elements like rhyme or repetition? 6. How do the sounds in the words make you feel 7. How do the lyrics make you feel? 8. What do you think of them? 9. Would you recommend it to a friend? Find the acceleration a body whose velocity increases from 11m/s to 33m/s in 10 seconds roman how did they all die why do you think the speakers sassines will upset others still i rise Which of the following graph is used for determining the instantaneous velocity from the slope?A. distance-time graphB. x - t graphC. both of theseD. none of these Which route on the map did Vasco da Gama use in his search to a find new way to Asia? who can study the course of animal specialist Look below at the picturess!!! pls help me i will give you 100 points ! Which sentence from "The Pedestrian" helps convey Bradbury's message thata TV-obsessed world is a place where people do not think carefully aboutmuch of anything?A. "I guess you'd call me a writer."B. "Magazines and books didn't sell anymore."C. "There was a good crystal frost in the air."D. "And there is air in your house ... Mr. Mead?" A restaurant food chain has over 680 restaurants. All food orders for each restaurant are required to be input into an electronic device which records all food orders by food servers and transmits the order to the kitchen for preparation. All food servers are responsible for collecting cash for all their orders and must turn in cash at the end of their shift equal to the sales value of food ordered for their I.D. number. The manager then reconciles the cash received for the day with the computerized record of food orders generated. All differences are investigated immediately by the restaurant. Corporate headquarters has established monitoring controls to determine when an individual restaurant might not be recording all its revenue and transmitting the applicable cash to the corporate headquarters. Which one of the following would be the best example of a monitoring control?A. All food orders must be entered on the computer, and segregation of duties is maintained between the food servers and the cooks.B. Management prepares a detailed analysis of gross margin per store and investigates any store that shows a significantly lower gross margin.C. Cash is transmitted to corporate headquarters on a daily basis.D. The restaurant manager reconciles the cash received with the food orders recorded on the computer. Write the English equivalent of the following cognates? the width w of a rectangular swimming pool is x+5 the area a of the pool is x^2+4-5what is an expression for the length of the pool? step by step Which factor has influenced U.S. Middle East policy since World War II more than any other?A the U.S. need for oilB terrorism against Israel and U.S. installations in the areaC U.S. relations with the Shah of IranD fear that U.S. involvement might draw in the U.S.S.R. The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct Help me on this pls!!!!!! 8. In a chemical reaction, if the reactants are heated, the reaction usuallyhappens a) Fasterb) Slowerc) At the same rate Which inequality models this situation? 3 The company president sets a goal that the percentage of working phones must increase from 30% to at least 80% by the end of the day. 3 8 -> 103 8. 3+% 10+ DONE () Intro Write a paragraph about your duties and responsibility towards your parents. Here is a trapezium drawn on a centimetre grid (not drawn to scale).Work out the area of the trapezium, stating the units of your answer.