Convert the following into scientific notation:
70.2 = _____ x 10 ____

====================================================

Explanation:

Utility is another way of saying happiness more or less. Marginal utility is getting that extra bit of satisfaction from buying/consuming one additional item. Saying the marginal utility is diminishing but not negative, means we have an increasing utility curve that has its rate of increase slow down. An example would be a log curve.

Inflation can be thought of as an expense. For example, if it costs $1 to get a loaf of bread one year, and then next year that cost jumps to $1.50 for that same loaf of bread, then the worker has effectively lost 50 cents on their paycheck. Zero inflation means there isn't any such expense. So in a way, this is like getting a raise.

Being paid more due to higher labor costs means that the worker gets even more money on top of the bonus money saved from zero inflation. These two aspects would provide a lot of incentive for the person to work more hours. Of course, there would be a point in which the marginal utility is far too small. In other words, the amount of additional money earned isn't worth the additional time spent working. This is likely when the worker would take time off, seek out a raise, or find some other job.

Answer: C

Step-by-step explanation:

1/4th of -5 is -1.25 so in fractions that is -1 1/4 (ANSWER IS C)

the answer is C

Answer:

We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%

Step-by-step explanation:

From the question we are told that

  The  sample  proportion is [tex]\r p = 43\%  = 0.43[/tex]

   The  standard error is [tex]SE =  0.017[/tex]

Given that the confidence level is 95%  then the level of significance is mathematically represented as  

      [tex]\alpha =  (100-95)\%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as

     [tex]E = Z_{\frac{\alpha }{2} } *  SE[/tex]

=>    [tex]E = 1.96 *  0.017[/tex]

=>     [tex]E = 0.03332 [/tex]

Generally 95% confidence interval is mathematically represented as

      [tex]\r p -E <  p <  \r p +E[/tex]

=>   [tex]0.43 -0.03332 <  p <  0.43 + 0.03332[/tex]

=>    [tex] 0.39668 <  p <  0.46332[/tex]

Converting to percentage

[tex] (0.39668 * 100)<  p <  (0.46332*100)[/tex]        

[tex] 39.7\% <  p < 46.33 \%[/tex]    

Answer:

0.3

Step-by-step explanation:

 2.1

-1.8

---------

0.3

Answer:

a and b are the "legs" of the triangle, which are the two sides that make up the 90 degree angle. c is the "hypotenuse" of the triangle, and is the side of the triangle that is opposite the right angle (another way to say a 90º angle is "right angle"). The hypotenuse is also the longest side of the right triangle.

Answer:

The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.

[tex]P(E)=\frac{n(E)}{N}[/tex]

Compute the probability that they will teach different courses as follows:

[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]

Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].

Answer:

It took 1 hour and 16 minutes

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The points are;(4,-3) and (8,-2).

Use slope formula.

[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]

Put all values.

[tex]m = \frac{ - 2 + 3}{8 - 4} [/tex]

[tex]m = \frac{1}{4} [/tex]

Therefore, the slope is 1/2.

Hope it helps...

Answer:

There are two real solutions if the radicand is

✔ positive.

There is one real solution if the radicand is

✔ zero.

There are no real solutions if the radicand is

✔ negative.

Step-by-step explanation:

ON MY DOG KIDS DIS RIGHT

Answer:

1.Postieve

2.Zero

3.Negative.

Step-by-step explanation

i did it on ed and got it right.

Answer:

12

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Since ten cups of ice cream is made from .5 cups of sugar, lets first find out how many cups of ice cream can be made form one cup of sugar

.5*2=1

10*2=20

Since the ratio of sugar to ice scream is .5/10 if you do anything to the top you need to do it to the bottom

so now you have 1/20

for every one cup of sugar there are 20 cups of icecream

now you need to multiply both top and bottom by five

1*5=5

20*5=100

5/100

You can make 100 cups of ice cream

*don't forget to label your answer with cups of ice cream*

100 cups of ice cream can be made with 5 cups of sugar.

Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.

It is given that,

10 cups of ice cream requires = 0.5 cup of sugar

⇒ 1 cup of sugar = 10/0.5 cups of ice cream

⇒ 1 cup of sugar = 20 cups of ice cream

Hence we see that Maya's ice cream machine makes 20 cups of ice cream from 1 cup of sugar.

Similarly, 5 cups of sugar = 5 x 20 cups of ice cream

⇒ 5 cups of sugar = 100 cups of ice cream

Therefore,100 cups of ice cream can be made with 5 cups of sugar.

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The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

A teacher can spend as much as $125.00 to take students to a movie.

And, ​A movie theater charges a $10.00 group fee and $5.50 per ticket.

Let maximum number of students, x, who could ​attend the movie = x

Hence, We can formulate;

5.50x + 10 ≤ 125

Solve for x;

5.50x ≤ 125 - 10

5.50x ≤ 115

x ≤ 115 / 5.50

x ≤ 20.90

x ≈ 21

Thus, The maximum number of students, x, who could ​attend the movie are,

⇒ x ≈ 21

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x=12

This the answer hope this helps

If you need the steps please feel free to contact me in the comments

Answer:

it droped 40 degres

Step-by-step explanation:

Answer:

The temperature dropped 4 degrees per 1000 feet.

Step-by-step explanation:

90 - 50)/(10,000:1,000) = 40/10 = 4 degrees per 1000 ft

Answer:

1) Shirt = $28.20  Jeans = $42

2) subtotal = $105.20

3) with the discount from the coupon, the pre-tax cost is $83.90

4) about $ 88.10 (actual answer was $88.095)

5) i have no clue bro, im sorry

Step-by-step explanation:

The sale price of the shirt  is [tex]\$28.20[/tex] The sale price of the jeans  [tex]\$42.00[/tex] Subtotal is [tex]\$[/tex]105.20 Pre-tax cost  [tex]\$78.90[/tex] The total amount charged with 5% sales tax is  [tex]\$42.00[/tex]

The sale price of the shirt:

Given -The original price of the shirt is $47, and it is on a "40% Off" sale. To find the sale price, we can calculate [tex]40\% of \$47[/tex]and subtract it from the original price:

The sale price of the shirt = [tex]\$47 - (40\% \times\$47)[/tex]

The sale price of the shirt =[tex]\$47 - (\$18.80)[/tex]

The sale price of the shirt =[tex]\$28.20[/tex]

The sale price of the jeans:

Given =The original price of the jeans is $60, and it is advertised as "30% Off." Similar to the shirt, we can calculate the sale price of the jeans:

The sale price of the jeans =[tex]\$60 - (30\% \times\$60)[/tex]

The sale price of the jeans =[tex]\$60 - (\$18.00)[/tex]

The sale price of the jeans = [tex]\$42.00[/tex]

Subtotal of the shirt, jeans, and shoes:

Subtotal = Sale price of the shirt + Sale price of the jeans + Sale price of the shoes

Subtotal = [tex]\$[/tex]28.20 + [tex]\$[/tex]42.00 +[tex]\$[/tex]35.00

Subtotal =[tex]\$[/tex]105.20

The pre-tax cost of your purchase with the[tex]25\%[/tex] off coupon:

The 25% off coupon is applied to the subtotal. We calculate 25% of the subtotal and subtract it from the subtotal to find the pre-tax cost:

Pre-tax cost = Subtotal -[tex](25\% \times Subtotal)[/tex]

Pre-tax cost = [tex]\$105.20 - (25\% \times \$105.20)\\[/tex]

Pre-tax cost =[tex]\$105.20 - (\$26.30)[/tex]

Pre-tax cost = [tex]\$78.90[/tex]

The total amount charged with 5% sales tax:

To calculate the total amount charged, we need to add the sales tax to the pre-tax cost:

Sales tax = [tex]5\% \times Pre-tax cost[/tex]

The Total amount charged = Pre-tax cost + Sales tax

The Total amount charged =[tex]\$78.90 + (5\% \times \$78.90)[/tex]

The total amount charged = [tex]\$78.90 + \$3.94[/tex]

The total amount charged =[tex]\$82.84[/tex]

The credit card payments for months are;

Payment | Balance | New Balance | Interest | Remaining Balance

Month 1 |    $10.00 | $72.84 |   $1.46 |  $71.46

Month 2 |    $10.00 | $61.46 | $1.23 | $60.69

Month 3 |  $10.00 | $50.69 | $1.01 | $49.70

Month 4 |   $10.00 | $39.70 | $0.79 | $38.49

Month 5 |   $10.00 | $28.49 | $0.57 | $27.06

Month 6 |    $10.00 | $17.06 | $0.34 | $16.40

Month 7 |    $10.00 | $6.40 | $0.13 | $6.53

Month 8 |   $6.53 | $0.00 | $0.00 | $0.00

The remaining balance is paid off in full by the 8th month, and the interest is calculated based on the remaining balance each month.

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Answer:

The slope is 2

Step-by-step explanation:

y1-y2 .      6--6

---------      ------       =2

x1-x2 .      2--4

Answer:

3xy⋅(4x

2

+2x−3y)

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

$37.05

Step-by-step explanation:

Answer:

i cant even see the words

Step-by-step explanation:

sorry i cant help

Answer:

A

Step-by-step explanation:

Let the smallest number be n.

If the next integer differs by 3 then:

n + 3 is our second integer.

If the product is 108 then we would multiply them together.

n * (n + 3) = 108    Now solve for n.

(n*n) + (n*3) = 108

[tex]n^{2} +3n = 108[/tex]     Now we move 108 to the other side by subtracting so we can factor.

[tex]n^{2} + 3n - 108 = 0[/tex]

(n       )(n       ) = 0    

Find all the multiples of 108

1 x 108

2 x 54

3 x 36

4 x 27

6 x 18

9 x 12

Which one can we add or subtract together to get 3?

9 x 12    because 12 - 9 = 3

[tex]n^{2} + 3n - 108 = 0[/tex]

(n    12)(n     9) = 0    Now we figure out the signs. Since we have -108 one must be negative, and the 3 in the 2nd term (3n) is positive so:

(n + 12)(n - 9) = 0   Is our factored equation.

Our smallest number is 9, so n = 9

Our second number is n + 3 and 9 + 3 = 12

So our 2 integers are 9, 12, there sum would be 9 + 12 = 21

Option A.

Answer:

brain went bye bye

Step-by-step explanation:

Answer:

-5.6

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

two points cant be on the same line in a vertical pattern

Answer: A.) obtuse  &   F.) isosceles

Explanation:  

Obtuse because the large angle is greater than 90°

isosceles because two of the sides are equal length

Answer:

It's is 3/2

Step-by-step explanation:

since the line is going up, the rise/run is going to be positive

Answer:

what's the question??