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Bill bought a new cellular phone. His monthly bill will be $34.99 each month which includes 100 minutes of use. Additional minutes will cost $0.23 per minute. Write an equation that represents the cost of the bill C in terms of m, which is the number of minutes used ABOVE the 100 that are included in the base price. a. C = 34.99(m – 100) + 0.23 c. C = 0.23m b. C = 0.23m + 34.99 d. C = 0.23(m – 100) + 34.99

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Answer:

d. C = 0.23(m – 100) + 34.99

Step-by-step explanation:

Let C = X + Y, where

C = Cost of the bill in terms of m

X = First term of the equation

Y = Second term of the equation

X = add additional minutes to $ 0.23 minus the 100 minutes of use allocated.

X = 0.23 (m – 100)

Y = Base price monthly will be $ 34.99

Y = 34.99

C = X + Y

C = 0.23 (m – 100) + 34.99

Note: The only possible answer is 0.23 (m – 100) + 34.99, but we must assume that “m” is greater than or equal to 100, that is, Bill consumes at least his 100 minutes assigned by the base price.

Hope this helps!

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snail travels at a rate of 2.37 feet per minute. write a route to describe the function how far will the snail travel in six minutes

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snail travels at a rate of 2.37 feet per minute. write a route to describe the function how far will the snail travel in six minutes

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The dimensions of a conical funnel are shown below: Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)

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The dimensions of a conical funnel are shown below: Nisha closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drops at the rate of 15 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? ( use pi= 3.14)

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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 400 liters in the pond to start. Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T . Then use this equation to find the total amount of water after 14 minutes. Equation: Total amount of water after 14 minutes: liters

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Owners of a recreation area are filling a small pond with water. They are adding water at a rate of 25 liters per minute. There are 400 liters in the pond to start. Let W represent the total amount of water in the pond (in liters), and let T represent the total number of minutes that water has been added. Write an equation relating W to T . Then use this equation to find the total amount of water after 14 minutes. Equation: Total amount of water after 14 minutes: liters

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[99 Points!!] Can someone help me with the following questions? (02.06 MC)Doug wants to get better at volleyball. In order to do this, he has created a list of skills he will need to improve. Which skill should get the most of his attention in order for him to excel at volleyball? Coordination Speed Power Balance (02.07 HC)Which of the following foods is rich in nutrients that will help hair, skin, and nails to grow? Lettuce Yogurt Carrots Apples (01.06 MC)The chart below shows four friends’ target heart rate zones. During their last spin class, each person averaged 170 beats per minute. Based on this information, who worked at the highest intensity level? Name Target Heart Rate Zone Janna 146bpm—188bpm Shania 145bpm—188bpm Paige 140bpm—182bpm Mimi 140bpm—185bpm A.Janna B Shania C Paige DMimi (02.06 MC)Emma has evaluated her skills and determined that she has many strengths, but power is her least-developed skill. She is signing up for a sport, but she wants to avoid anything that plays to her weakness. Which two sports should she avoid? Gymnastics and soccer Archery and bicycling Swimming and baseball Tennis and volleyball

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Gymnastics and soccer since those sports are very active and involve a lot of physical cardio, soccer involves a lot of running.

Swimming and baseball are also some hard sports especially swimming since most are your muscles are used during that activity.

Hope this helps 😉

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If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in miles per hour

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Lisa wants to buy a phone card for $5. Company X charges $0.37 for the first minute and $0.08 for each additional minute. Company Y charges $0.52 for the first minute and $0.14 for each additional minute. If Lisa makes just one call, which phone company gives her more minutes for $5? How many more minutes? a. Company Y; about 29 minutes c. Company X; about 26 minutes b. Company X; about 29 minutes d. Company Y; about 26 minutes

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Answer:

Option b

Step-by-step explanation:

Given that Lisa wants to buy a phone card for $5.

Company X charges $0.37 for the first minute and $0.08 for each additional minute.

ie. for t minutes charges are C(t) = 0.37+0.08(t-1)

Company Y charges $0.52 for the first minute and $0.14 for each additional minute.

for t minutes company Y charges

C(t) = 0.52+0.14(t-1)

If 5 dollar is spent, then for company A

t = frac{5-0.37}{0.08}+1 =58.875 minutes

For company B, for same 5 dollars,

t =frac{5-0.52}{0.14} =33

Company x gives about 26 minutes more

Option b

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If a wheel with a radius of 30 inches spins at a rate of 500 revolutions per minute, find the approximate linear velocity in miles per hour.

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30 inches @ 500 rpm = 15,000 inches per minute

15,000 inches per minute = 900,000 inches per hour (multiply by 60)

1 mile = 5,280 feet (google-able fact you shouldn’t have to memorize)
1 foot = 12 inches (you probably already know this)
900,000 inches = 75,000 feet (divide by 12)

75,000 feet = 14.20454545454545. . . miles (divide by 5280)

Linear velocity in miles per hour is 14.20454545454545. . . miles per hour.

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For her cellular service, Vera pays $32 a month, plus $0.75 for each minute over the allowed minutes in her plan. Write an expression that shows how much Vera’s bill will be for one month.

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Well, “m” represent $32 she spends a month and “t” be the $0.75 for each minute will be.

First, since the bill is for one month, we can place “m” by itself with no add-ons to it since it’s been stated only a month is going by and it stays $32. However, depending of “t” the price can change without the original monthly plan changing, so we write it like m + (t . x). “x” represent every minute spent over the time limit, so it’s “t” times “x” since whatever “t” is is determined by “x”. If “x” is 0, then “t” is 0 since nothing is added and it’d remain $32. If say “x” was 10 however, that would mean 10 minutes have gone over the limit, so 0.75 x 10 would be $7.50 + $32 making it $39.50. 
Your answer is m + (t . x)
Note: “m” and “t” can be different if you choose.

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His was the moment Zachary had been waiting for. He had rehearsed his lines for weeks, silently in his head as he biked to school, out loud in the mirror when he was home alone, and, to get used to an audience, in front of his sister’s stuffed animals and a slightly confused dog. Zachary had not prepared well for last year’s audition, and at the last minute had chosen not to go—too embarrassed—or too scared—he did not know which. Now, as he stood backstage, he thought about last year. He had been so disappointed in himself as he walked home alone, snuck to his room, and flopped sadly into his bed. “Next year will be different,” he vowed then and there. “I will be better prepared.” And he was. He just hoped it was enough. His throat was dry, his palms were sweaty, his heart was pounding, but he was ready to face the spotlight. A hushed silence fell across the auditorium as the drama teacher called his name. Zachary Hamilton. Based on the passage, how do you think Zachary will deal with the conflict in the remainder of the story?

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Answer:

The literary elements suggest that Zachary learned from last year and will have more success this time.

Explanation:

this time Zachary learned to come prepared so he could get the part that he wanted so you should always practice for what you want

hope this helps

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Qs 14-2 fixed and variable costs lo c2 a cell phone company offers two different plans. plan a costs $80 per month for unlimited talk and text. plan b costs $0.20 per minute plus $0.10 per text message sent. you need to purchase a plan for your 14-year-old sister. your sister currently uses 1,700 minutes and sends 1,600 texts each month. (1) what is your sisters total cost under each of the two plans

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Plan A: Post paid plan

Total cost A = $80 per month


 

Plan B: Pre paid plan

Total cost B = $0.20 per
minute * 1,700 minutes + $0.10 per text message * 1,600 texts

Total cost B = $340 + $160

Total cost B = $500 per month


 

Therefore it is better to get
the post paid plan, plan A.

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During heart transplants, the _____ nerves are severed resulting in a faster resting heart rate (approximately 100 beats per minute) after the transplant. glossopharyngeal cardiac accelerator vagus phrenic cervical spinal

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During heart transplants, the _____ nerves are severed resulting in a faster resting heart rate (approximately 100 beats per minute) after the transplant. glossopharyngeal cardiac accelerator vagus phrenic cervical spinal

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A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

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A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

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What is the average speed (miles/hour) for an object going 1500 feet in 1 minute. Round answer to two decimal places.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

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If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

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The graph shows the relationship between the number is minutes Maria spent jogging in a treadmill and the distance she jogged. What was her speed ? A) 0.1 mile per minute B) 0.5 miles per minute C) 5 miles per minute D) 10 miles per minute

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Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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The angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22. If the vertical distance from the bottom to the top of the mountain is 689 feet and the gondola moves at a speed of 130 feet per minute, how long does the ride last? Round to the nearest minute.

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Answer:  The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared

Step-by-step explanation:  Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to select the correct option that could be used to calculate the coordinates for point B.

Let, (x, y) be the co-ordinates of point B.

According to distance formula, the distance between two points (a, b) and (c, d) is given by

d=sqrt{(c-a)^2+(d-b)^2}.

Therefore, the distance between the points A(8, 9) and B(x, y) is given by

d=sqrt{(x-8)^2+(y-9)^2}.

Since, distance between A and B is 10 units, so

d = 10.

Therefore,

10=sqrt{(x-8)^2+(y-9)^2}.

Thus, the correct statement is

10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.

Option (C) is correct.

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For her phone service, Kala pays a monthly fee of $13 , and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $63.15 . What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .

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For her phone service, Kala pays a monthly fee of $13 , and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $63.15 . What are the possible numbers of minutes she has used her phone in a month? Use m for the number of minutes, and solve your inequality for m .

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The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?

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Answer:

False

Step-by-step explanation:

Suposse that we are given a function f(x) and a constant value h.

1. Case:

If we take the function g(x)=f(x)+h, then the graph of the function g(x) will be the graph of the funcion f(x) moved up or down.

2.Case:

If we take the function g(x)=hf(x), then the graph of the function g(x) will be the graph of the function f(x) just taller or shorter.

3.Case:

If we take the function g(x)=f(x-h), then the graph of the function g(x) will be the graph of the fuction f(x) moved horizontally.

4. Case:

If we take the function g(x)=f(hx), then the graph of the function g(x) will be tha graph of the function f(x) wither or thiner.

For example:

If we take f(x)=sin(x) and h=2. Then, if we take g(x)=sin(2x) then f(0)=g(0)=0, which means that the graph of the functiction is not moved up or down. However, f(π/2)=sin(π/2)=1 and g(π/2)=sin(π)=0 which gives us a hint that the graph of the function became thiner.

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You are typing a paper. At 4:04pm you have typed 275 words. By 4:18pm you have 765 words. Find the rate of change in words per minute. Round your answer to the nearest whole number. A). None of these B). 20 words per minute C). 43 words per minute D). 35 words per minute E). 55 words per minute

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Answer:

C. Yes, because the population values appear to be normally distributed.

Step-by-step explanation:

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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Pamela can swim under water for 51 seconds without a breath. Lucy can swim 3/5 minute and kady 8 minute. Who can stay underwater the longest?

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So hmmm we’ll start off by using the decimal format for the percentage, thus 15% is just 15/100 or 0.15 and 7% is just 7/100 or 0.07 and so on

notice, the concentration of alcohol in the 15% is, well, 0.15 :), so for a quantity of whatever, it’d be 0.15whatever

anyway, for water… water has no alcohol whatsoever, so the concentration is 0%, or 0/100 which is 0.00 or a flat 0

bf begin{array}{lccclll}
&amount&concentration&
begin{array}{llll}
concentrated\
amount
end{array}\
&-----&-------&-------\
textit{15% sol'n}&14&0.15&14(0.15)\
water&x&0.00&0x\
-----&-----&-------&-------\
textit{7% mixture}&y&0.07&0.07y
end{array}

we know that we’ll be adding “x” water with the 14mL to get “y”, thus 14+x = y

and the concentrated quantities will also add up to -> 14(0.15) = 2.1, thus
2.1 + 0x = 0.07y

bf begin{cases}
14+x=boxed{y}\
2.1+0x=0.07y\
----------\
2.1=0.07left( boxed{14+x} right)
end{cases}

solve for “x”.

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Which of the following statements is a MAD goal? I am going to take one minute off of my 5K time in the next month. I am going to break the county record for the 100-meter freestyle. I am going to score five goals in the next soccer game. I am going to do well in my next three gymnastics meets.

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A) Increase his activity and exercise levels and add more calories to gradually gain weight

 B) Increase his activity and exercise levels and eat the same number of calories to gradually gain weight

C) Increase his snacks to two or three per day until he reaches his target weight

D) Increase his calories consumed and do less activity and exercise until he reaches his target weight

The best answer is A

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If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

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If a wheel with a radius of 70 inches spins at a rate of 600 revolutions per minute, find the approximate linear velocity in miles per hour.

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Which of the following is a true statement? A) Compressions for adults should be at least 2 inches but no more than 2.4 inches. B) Do not lean on the victim when giving chest compressions. C) Compressions should be given at a rate of 100-120 compressions per minute. D) ALL ANSWERS ARE CORRECT.

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1. The answer is “C”.

“Identical twins” who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.  

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

2. The answer is “A”.

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in “consensus democracy” in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

3. The answer is “D.  showing a learner how to correct common mistakes”.

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.  

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Through how many radians does the minute hand of a clock rotate in 25 minutes. Round answer to one decimal place.

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Greatest common factor (or denominator) is 6,
least common multiple is 180

hmm
(note:
I spent like 30 mins trying to use a math only of finding the values
but it didn’t work so I did a  force brute and elimination method
explained below)

so
a and b must be multiples of 6
so list all the multiples of 6
wait
180=6*30
and 30’s factors are 1,2,3,5,6,10,15,30 so only list the numbers that
are the result of multiplying 6 and any of those numbers in that list
(so we can have the lcm of 180)
so
6*1=6
6*2=12
6*3=18
6*5=30
6*6=36
6*10=60
6*15=90
6*30=180
these are our possible candidates for the 2 numbers
now we must find the pair that has a GCD of only 6

doing the math is long and tedious so do it yourself (trial and error)

we see that our choices that fulfill both requirements (GCD of 6 and LCM of 180) are
90&12
60&18
30&36
sum them to find the least one

90+12=102
60+18=78
30+36=66

the least possible sum is 66

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