ASAP At a store you have the option to buy a 12 pack of pop for $5 or a 8 pack for $3. Which is the better deal? 12 pack 8 pack. And can u pls explain how u got the answer

Answers

Answer 1

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer 2
8 is better because it’s cheaper in price so if you wanted more you could buy to for cheaper

Related Questions

Which table shows a proportional relationship between a and b?
ОА.
b
3
9
4
12
5
20
B.
Qu
b
20
25
24
30
32
40
ОС.
a
b
4
12
un
15
6
24
D.
a
b

Answers

Answer: A, B and, C are incorrect, what is D?

Step-by-step explanation:

The answer to your question is D

Help plz and explain if possible

Answers

Answer:

d

Step-by-step explanation:

d is most definitely the correct answer.

3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.

Answers

Answer:

3^6 = 729

Step-by-step explanation:

3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6  

Symbolically, we have:

3^5 = 243 (given)

Multiplying both sides by 3, we get:

3^6 = 3(243)

If you want to take this further, multiply 3(243):  3^6 = 729

The value of [tex]3^6[/tex] is 729.

Important information:

[tex]3^5=243[/tex]Exponents:

We need to find the value of [tex]3^6[/tex].

Using the rules of exponents, we get

[tex]3^6=3^{5+1}[/tex]

[tex]3^6=3^{5}*3^{1}[/tex]          [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]3^6=243*3[/tex]

[tex]3^6=729[/tex]

Therefore, the value of [tex]3^6[/tex] is 729.

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WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph

Answers

Negative Correlation - These variables point towards the left making them negative.

Positive Correlation - These variables point towards the right making them positive.

No Correlation - These variables have the same x coordinates or same y coordinates.

Hope that helped!!! k

The person at the top is right 100% :)

complete the table of values for y=-x^2+2x+1

Answers

Answer:

-1=-2

4=-7

Step-by-step explanation:

for x=-1

y=(-1^2)+(2*-1)+1

y=-1-2+1

y=-2

for x=1

y= (-1^2)+(2*1)+1

y= -1+2+1

y=2

for x=4

y=(-4^2)+(2*4)+1

y=-16+8+1

y=-7

Facts y=-7 nice job bye

Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.

Answers

Answer:

I believe it's (4^2)*12

Step-by-step explanation:

To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes

Hope this helps! ∪ω∪

The answer to that question is (4^2)*12

What's the recursive formula of the geometric sequence below?
2, 6, 18, 54, 162, 486,...
O ay = 3; an = an-1 · (2)n-1 for n 2 2
a1 = 2; an = an-1 . (3) for n 2 2
O a1 = 2; an = an-1 • (3)n-1 for n 2 1
ay = 2; an = an-1. (2) for n 2 1

Answers

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula for a geometric sequence.

The common ratio is 3, and 2 is the 1st term.

Thus, we have a1=2(3)^(n-1)

Hope this helps :)

Answer:

Hey there!

We have an=a1(r^n-1), which is the formula

for a geometric sequence.

The common ratio is 3, and 2 is the 1st

term.

Thus, we have a1=2(3)^(n-1)

Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321

Answers

Answer:

The probability that a 57-year-old was involved in an accident is 0.0656.

Step-by-step explanation:

We are given the data for the drivers involved in an accident of different age groups.

And we have to find the probability that a 57-year-old was involved in an accident.

From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.

Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).

The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.

So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).

The probability that a 57-year-old was involved in an accident is given by;

                        = [tex]\frac{1990}{30,355}[/tex]

                        = [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%

0.0656

Sorry if I’m wrong I tried my best. God bless u

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner?

Answers

the answer to your question is 16

The required ways of the combination to display the flowers on the dinner is  20.

There are 6 flowers in vases in your kitchen. You want to put 3 of them on the dining room table for dinner tonight. Order isn’t important. How many ways can you display the flowers for dinner to determiined.

What are permutation and combination?

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In a combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Examples of permutation and combination, Managing people, numbers, numerals, alphabets, letters , and colors are examples of permutations. Choosing of menu, foodstuffs, dresses, matters, and the group are examples of combinations.

Since, the total number of flower in vases is 6
3 of them to be selected for the dinner table tonight.
The combination is given as.
= C( 6 , 3)
= 6!/3!(6 - 3)!
= 6!/3!3!
= 20

Thus, the required ways of combination to display the flowers on dinner is  20.

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Which of the following are exterior angles? Check all that apply.
6
52
3
O A. 21
O B. 25
O c. 24
O D. 23
E. 22
O F. 26

Answers

Using it's concept, it is found that the exterior angles of the triangle are given as follows:

B. <5

C. <4

What are the exterior angles of a triangle?

The exterior angles of a triangle are the angles that are outside the triangle.

In this problem, the angles are 4 and 5, which means that options B and C are correct.

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On the number line below, P represents a number. What is the value of the opposite of that number? A number line from negative 4 to positive 4 in increments of 1 over 4, with all whole numbers alone labeled is shown. Put point P at the fifth tick mark to the right of 0. negative 2 and 2 over 4 negative 1 and 1 over 4 1 and 1 over 4 2 and 2 over 4

Answers

Answer:

[tex]-1\frac{1}{4}[/tex]

option 2

Step-by-step explanation:

In this number line, each interval equals 1/4.

P represents 1 1/4

So, opposite of number P is   ( [tex]-1\frac{1}{4}[/tex] )

option 2 would be the best answer

PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!

Answers

Answer:

hope this is ok...

1. a) f(h) = -4

  b) f(h) = 4

  c) f(h) = -6

  d) f(h) = -8

2. a) f(h) = 5

   b) f(h) = 11

   c) f(h) = 3

   d) f(h) = -1

3. a) f(x) = 11

   b) f(x) = -5

   c) f(x) = -245

   d) f(x) = -89

4. f(56) = -29.35 or -29.346046

5. f(200) = 10√2 - 56 or -41.857864 (if u want u can round off the decimal to -41.86)

Step-by-step explanation:

1. f(h) = | h - 10 |

a) f(h) = | 6 - 10 | = -4

b) f(h) = | 14 - 10 | = 4

c) f(h) = | 4 - 10 | = -6

d) f(h) = | 2 - 10 | = -8

2. f(h) = | h - 2 |

a) f(h) = | 7 - 2 | = 5

b) f(h) = | 13 - 2 | = 11

c) f(h) = | 5 - 2 | = 3

d) f(h) = | 1 - 2 | = -1

3. f(x) = x² + 11

a) f(x) = -0² + 11 = 11

b) f(x) = -4² + 11 = -5

c) f(x) = -16² + 11 = -245

d) f(x) = -10² + 11 = -89

4. f(x) = 8√x - 31

a) f(56) = 8√56 - 31 = -29.35

5. f(x) = 2√x - 56

a) f(200) = 2√200 -56 = -41.86

Please mark Brainliest....

Answer:

The other person answer is beyond correct PLEASE mark them brainliest they REALLY deserve that o-o

Identify each function as linear, quadratic, or exponential. ƒ(x) = 4x2 g(x) = 1 - x h(x) = 32x

Answers

Answer:

f(x) is quadratic. g(x) and h(x) are linear.

Step-by-step explanation:

So we have the three functions:

[tex]f(x)=4x^2\\g(x)=1-x\\h(x)=32x[/tex]

Linear functions are polynomials in which the highest degree is 1.

Quadratic functions are polynomials in which the highest degree is 2.

And exponential functions usually have a variable in the exponent (e.g. 2^x).

For f(x), the highest degree is 2. Thus, f(x) is a quadratic function.

For g(x), the highest degree is 1 and there are no variables in the exponent. Thus, g(x) is a linear function.

Similarly, for h(x), the highest degree is 1 and there are no variables in the exponents, so h(x) is also a linear function.

the first should be quadratic
the second one should be exponential
and the third should be linear

Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial. $\[x^2 + 22x + \underline{~~~~}.\]$

Answers

Answer:

[tex]$\[x^2 + 22x + 121\]$[/tex]

Step-by-step explanation:

Given

[tex]$\[x^2 + 22x + \underline{~~~~}.\]$[/tex]

Required

Fill in the gap

Represent the blank with k

[tex]$\[x^2 + 22x + k\]$[/tex]

Solving for k...

To do this, we start by getting the coefficient of x

Coefficient of x = 22

Divide the coefficient by 2

[tex]Result = 22/2[/tex]

[tex]Result = 11[/tex]

Take the square of this result, to give k

[tex]k= 11^2[/tex]

[tex]k= 121[/tex]

Substitute 121 for k

[tex]$\[x^2 + 22x + 121\]$[/tex]

The expression can be factorized as follows;

[tex]x^2 + 11x + 11x + 121[/tex]

[tex]x(x + 11)+11(x+11)[/tex]

[tex](x+11)(x+11)[/tex]

[tex](x+11)^2[/tex]

Hence, the quadratic expression is [tex]$\[x^2 + 22x + 121\]$[/tex]

The answer would be x^2+22x+121

Translate the following into an algebraic expression: The number that is 40% more than five more than a number a.

Answers

Answer:

1.4a > 5+a

Step-by-step explanation:

If the number is increased by 40% of that number, then it multiplies by 1.4. So, the left side of the equation is 1.4a.

On the right side of the equation, if the number is increased by 5, then the equation is a + 5.

Since the left side of the equation is more than the right side of the equation, we add a greater than sign. So the expression is 1.4a > 5+a

A lab technician is dividing a cell that has a diameter of 4.32×10−4 4 . 32 × 10 - 4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cel

Answers

Answer:

Bottom right option

Step-by-step explanation:

To find this, we can calculate:

1/2 * 4.32 * 10⁻⁴

= (1/2 * 4.32) * 10⁻⁴

= 2.16 * 10⁻⁴

The diameter of a new cell is 2.16×10−⁴millimeters

First step is to calculate 4.32×10−⁴ to the original numbers

4.32×10−⁴ =0.000432

Second step is to determine the diameter of a new cell

New cell diameter=0.000432×1/2

New cell diameter=0.000216

New cell diameter=2.16×10−⁴millimeters

Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters

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A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360

Answers

Answer:

B

Step-by-step explanation:

B .......................

What type of number is −7? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. integer only whole rational natural

Answers

Answer:

-7 is a Negative Number, which is also an integer.

Step-by-step explanation:

Negative numbers are any number less than 0. The greater a negative number is, is the smaller its value.

-7 is an integer because it is also a negative number

Hi, can anyone please help me come up with 7 maths questions that have the answer 10. It would be great if these questions were on the 8th grade level. Plz help fast.​

Answers

Answer:

-2+12=10

-10+20=10

1+9=10

9+1=10

8-(-2)=10

2-(-8)=10

-30+40=10

Step-by-step explanation:

2+8=10
3+7=10
6+4=10
5+5=10
1+9=10
10+0=10
(-8)-2=10

What is the y-intercept of the function f(x) = -2/9x+1/3

Answers

Answer:

The y-intercept is 1/3.

Step-by-step explanation:

The equation given is in slope-intercept form. Recall that in slope-intercept form:

[tex]f(x)=mx+b[/tex]

m is the slope while b is the y-intercept.

Therefore, -2/9 would be the slope while 1/3 would be the y-intercept.

the y intercept is 1/3. the function is in slope intercept form (y=mx+b) where m represents the slope and b represents the y-intercept. making b=1/3, meaning 1/3 is the y-intercept of the function

Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?

Answers

No, there is no pattern of repetition.

The decimal 0.1894528 is not a repeating decimal.

What is the decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.

The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.

Therefore, the decimal 0.1894528 is not a repeating decimal.

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in the figure above, pqrs is a parallelogram. What is the value of x?​

Answers

Answer:

x = 162 degrees.

Step-by-step explanation:

m < RSP = 180 - 72

= 106 degrees (adjacent angles)

m < Q = m < RSP ( Opposite angles in a parallelogram are equal).

So m < Q = 180 degrees.

m < x = 360 - 90 - 108

= 360 - 198

= 162 degrees.

Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°

At angle S :

S + 72 = 180 (sum of straight line angles)

S = 180° - 72°

S = 108°

S = Q (opposite angles of a parallelogram)

Q = 108°

Hence,

Q + x + right angle = 360° (sum of angles at a point)

108° + x + 90 = 360

x = 360 - (108 + 90)

x = 162°

Hence, the value of x is 162°

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Michael just drank a cup of coffee to help him stay awake. The coffee had 110 milligrams of caffeine in it. If his body processes 5% of the caffeine every hour, how much will be left in 8 hours? A.74 B.72 C.56 D.73

Answers

Answer:C

Step-by-step explanation:

Answer C.56!

%5 of 110 is 5.5, 5.5 • 8= 54, 110-54= 56!

Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!

Answers

Answer:

n = 15

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

n = 15

Hope this helps you

The correct answer would be n = 15.

a grandfather purchased a brand new car in 1958 for ​$2500.the car depreciated ​$325 a year. what would the car be worth 4 years after it was​ bought?

Answers

Answer:

$1200

Step-by-step explanation:

Since the value of the car depreciates $325 a year.

After 4 years it would be 1300, becuase $325 × 4 = $1300.

So, $2500 - $1300 = $1200

$1,200

The car worth started at $2,500

Four years would be $325 • 4
It’ll give you the answer of $1,300

You now need to subtract the $1,300 from the $2,500 and you’ll be left with $1,200

Which statement is true? A. Point estimates are used to make inferences about population parameters. B. When we use the population mean and proportion to summarize information about the entire population, we call them point estimates. C. The population mean and proportion are always equal to their corresponding point estimates. D. The sample mean and sample proportion of a population are called population parameters. Reset

Answers

Answer:

the answer is d

Step-by-step explanation:

cause its d

The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?

Answers

Answer:

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Step-by-step explanation:

[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]

Annually= Yearly, A year has 365 days.

They work 40 hours a week, 8*5=40.

There are aprox, 10 holidays in a year. (You can change this in your work)

They have 2 weeks unpaid vacation, 14 days.

There are aprox, 52 weeks in a year. (You can change this in your work)

52 weeks - 2 weeks of unpaid vacation= 50 weeks.

Now Let's calculate the weekly income, for

$8.10*40=$324 per week.

$8.25*40=$330 per week.

$8.45*40=$338  per week.

$8.75*40=$350 per week.

$9.00*40=$360  per week.

$9.25*40=$370 per week.

$10.50*40=$420  per week.

Now Let's calculate the annually income, for each clerk.

324*50=16,200 + 648=16,848

330*50=16,500 + 660=17,160

338*50=16,900 + 676=17,576

350*50=17,500  + 700=18,200

360*50=18,000 + 720=18,720

370*50=18,500 + 740=19,240

420*50=21,000 + 840=21,840

Now the total annual payroll=

16,848+17,160+17,576+18,200+18,720+19,240+21,840=

129,584

Answer: $129,584 is the annual pay

Two joggers start from different locations and simultaneously begin heading toward each other. One of the joggers jogs 19mph, while the other jogs 17mph. If the two joggers are 324 miles apart how many hours will it take before they meet?

Answers

Answer:

errror

Step-by-step explanation:

Error good luck buddy

Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?

Answers

Answer:

20%

Step-by-step explanation:

20% is the answer to this question

Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____

Answers

Answer:

The correct answer is;

ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency

Step-by-step explanation:

The given information are;

Segment TN is congruent ts segment EL

Segment TA is congruent ts segment EF

Segment AN is congruent ts segment FL

Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency

One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.

Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency

Answer: cannot be determined

Step-by-step explanation:

there isnt a rule SSS

Other Questions
243Am951. The atomic symbol of americium-243 is shown. Which of the following is correct? A. The atomic mass is 243 amu, and the atomic number is 95.B. The atomic mass is 338 amu, and the atomic number is 95. C. The atomic mass is 95 amu, and the atomic number is 243.D. The atomic mass is 243 amu, and the atomic number is 338. Which best states the central idea of the following passageMany teenagers often mow lawns, shovel snow, or babysit to make extramoney. But there's one very fun and highly profitable business that young folksshould look into: dog walking. According to a recent study in Business Lifemagazine, over 40 percent of dog owners rely on someone else to walk their pet,and 80 percent of those people would be open to trusting the right teen to do thejob. One 13-year-old who's found success in this industry is Tim Bobo, who "walksfive dogs five times a week, which scores me nearly $100." Tindalso notes that hemay have spread himself a little thin, as his schooling and other activities havesuffered a bit. But that just goes to show that there's plenty of work to go around!If you're a teen who loves dogs, and you're looking to make a little extra money,dog walking is certainly worth a look.hi Down Under Products, Ltd., of Australia has budgeted sales of its popular boomerang for the next four months as follows:Sales in UnitsApril 54,000May 75,000June 94,000July 82,000The company is now in the process of preparing a production budget for the second quarter. Past experience has shown that end-of-month inventory levels must equal 20% of the following months sales. The inventory at the end of March was 10,800 units. Required: Prepare a production budget for the second quarter; in your budget, show the number of units to be produced each month and for the quarter in total.down under products Ltd. prodcution budget april may june otherbudgeted unit sales total needs required production in units What feelings and emotions are expressed in the descriptions of Equianos village? In your opinion, what can readers learn from reading these excerpts of the memoir? Use details from the excerpts to support your answer. Now the friends are ready to tackle a homework problem. A pulse is sent traveling along a rope under a tension of 29 N whose mass per unit length abruptly changes, from 19 kg/m to 45 kg/m. The length of the rope is 2.5 m for the first section and 2.8 m for the second, and the second rope is rigidly fixed to a wall. Two pulses will eventually be detected at the origin: the pulse that was reflected from the medium discontinuity and the pulse that was originally transmitted, which hits the wall and is reflected back and transmitted through the first rope. What is the time difference, t, between the two pulses detected at the origin? s The size of a television is the length of the diagonal of its screen in inches. The aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of newer wide-screen televisions is 16:9. Find the width and height of an older 35-inch television whose screen has an aspect ratio of 4:3. NEED ASAP What is the quotient and remainder of 8,595 24? Imagine you are a candidate for president. Your campaign manager tells you that Social Security reform is the third rail of politics and is considered an issue to be avoided. Why would your campaign manager give you this advice? Techwiz electronics makes a profit of $35 for each mp3 and $18 for each DVD last week techwiz sold a combined total of 118 mp3 and DVD players. Let x be the number of mp3 sold last week write an expression for the combined total profit (in dollars) made last week g Does a reaction occur when aqueous solutions of barium hydroxide and aluminum sulfate are combined Decide if the following statement is True or False.The student's teacher is male.TrueFalse Universal Travel Inc. borrowed $497,000 on November 1, 2018, and signed a 12-month note bearing interest at 4%. Interest is payable in full at maturity on October 31, 2019. In connection with this note, Universal Travel Inc. should report interest payable at December 31, 2018, in the amount of: The mean number of rushing yards for one NFL team was less than 99 yards per game. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? A machine can never be 100% efficient because some work is always lost due to which factor? friction gravity static input force Given the following three points, find by hand the quadratic function they represent.(-1,-8), (0, -1),(1,2)(1 point)Of(x) = -51% + 87 - 1O f(x) = -3.2? + 4.1 - 1Of(t) = -202 + 5x - 1Of(1) = -3.1? + 10.1 - 1 The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children ages 5 to 15 years. Based on this data, the authors conclude that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.5 mm and a standard deviation of 4.8 mm.Required:a. Approximately what proportion of healthy children has left atrial diameters less than 24 mm?b. Approximately what proportion of healthy children has left atrial diameters greater than 32 mm?c. Approximately what proportion of healthy children has left atrial diameters between 25 and 30 mm?d. For healthy children, what is the value for which only about 20% have a larger left atrial diameter? What is the value of b? In an open-market operation, the Fed buys $10 million of government bonds from individual investors. If the required reserve ratio is 10 percent, the largest possible increase in the money supply that could result is $________ million, and the smallest possible increase is $_________ million. an object is +2 m from the reference point. the object starts from rest it travels for 3 seconds and has a final position of -16 m. what is the acceleration of the object? A week after a near-drowning incident, a 6-year-old boy presents with respiratory distress, tachypnea, and fever. What should you suspect