A television program is 2 hours and 40 minutes long.
a)It starts at 22:45
at which time does it finish?
b)the program contains 8 ADs breaks,each of which lasts 3 min.
find the fraction of the 2 hours 40 min that is taken by ADs.
Give your answer in its simplest form.

Answers

Answer 1

Final answer:

The television program finishes at 00:25 after starting at 22:45 and running for 2 hours and 40 minutes. The fraction of the program's total time taken by 8 ad breaks, each lasting 3 minutes, is 3/20 of the total program time.

Explanation:

To calculate the finish time of the television program that starts at 22:45 and is 2 hours and 40 minutes long, we add the duration of the program to the start time. Firstly, we convert 2 hours and 40 minutes into minutes only to simplify addition. That is 160 minutes (120 minutes for 2 hours and 40 minutes for the remaining time). When we add 160 minutes to 22:45, we need to be careful due to the change of day at midnight.

Adding the minutes part first, 45 minutes + 40 minutes = 85 minutes. We subtract 60 minutes to account for one full hour giving us 25 minutes and add an hour to the hour part. 22:45 therefore becomes 23:25 with an additional 1 hour to be added.

We are left with 1 hour to add to 23:25, which simply gets us to 00:25, or 25 minutes past midnight. The television program finishes at 00:25.

Calculating the Fraction of Time Taken by Ads

The program contains 8 ad breaks, each of which lasts 3 minutes. The total time taken by the ads is 8 breaks × 3 minutes per break = 24 minutes of ads.

To find the fraction of time taken by the ads, we need the total duration in minutes, which is 2 hours and 40 minutes or 160 minutes. The fraction is therefore 24/160, which simplifies to 3/20 when we divide both the numerator and the denominator by 8.

Thus, the fraction of the 2 hours and 40 minutes that is taken by ads is 3/20.


Related Questions

At a sale this week, a table is being sold for $255. This is a 32% discount from the original price. What's the original price.

Answers

Answer:

12$

Step-by-step explanation:

Answer:

$375

Step-by-step explanation:

Sale price = original price - (markdown percentage)(original price), or

Sale price = (1 - markdown percentage)(original price

That 32% discount is equivalent to multiplying the original price by 0.32.

Here, $255 = (1 - 0.32)(original price), or

          $255 = 0.68(original price)

Then (original price) = $255/0.68 = $375

Steve Herr is an architect in Minneapolis, Minnesota. His latest project is designing a park. On the blueprint, the park is determined by a plane which contains the points at (1,0,3), (2,5,0), and (3,1,4) One of the features of the park is a monument that must be perpendicular to the ground. Find a nonzero vector, representing the monument, perpendicular to the plane defined by the given points.

Answers

Answer:

8i - 7j - 9k

Step-by-step explanation:

We have three points:

A (1,0,3)

B (2,5,0)

C (3,1,4)

First of all, we write the following two vectors:

[tex]AB=(2-1,5-0,0-3)=(1,5,-3)[/tex]

[tex]BC=(3-2,1-5,4-0)=(1,-4,4)[/tex]

These two vectors connect A with B and B with C, and since these 3 points lie on the plane, the two vectors also lie on the plane.

Therefore, the cross product of these two vectors must be a vector perpendicular to the plane.

The cross product of the two vectors is:

[tex]AB \times BC = i(5\cdot 4 -(-3\cdot-4))+j(-3\cdot 1 -1\cdot 4)+k(1\cdot -4-5\cdot 1)=\\=8i-7j-9k[/tex]

And the equation of the plane can be found as:

[tex]8(x-a_x)-7(y-a_y)-9(z-a_z)=0\\8(x-1)-7(y-0)-9(z-3)=0\\8x-7y-9z=-19[/tex]

Answer:

A on Edge 2020

Step-by-step explanation:

There are 18 boys and 24 girls on a swimming team.The instructor wants to divide them into groups of equal size with the greatest nunber of kids possible in each group. How many kids should be in each group?

Answers

Answer:

21 kids

Step-by-step explanation:

Let's get started!

Ok, let's relay some information!

Boys: 18

Girls: 24

18 + 24

= 30 + 12

= 42

42 kids total

If we divide by two we get an even number also since it is divisible by two that means we can have the greatest amount of kids there.

42 ÷ 2

= 21

21 kids

Please Help, 35 Points And Brainliest...
Stefan, a 36-year-old male, bought a $150,000, 10-year life insurance policy from Fly-by-Night Life Insurance through his employer. Stefan paid weekly.
What is Stefan’s annual premium?
Explain how you found your answer and show all work

Answers

A 36 year old male will pay $4.55 per $1,000 for a 10 year policy,

He bought a $150,000 policy:

150,000 / 1000 = 150

Multiply the rate per 1000 by 150:

4.55 x 150 = 682.50

His annual premium is $682.50

Answer:

His annual premium is $682.50

Step-by-step explanation:

Casey has 281 tennis balls. She will put them in containers that hold 3 tennis balls. About how many containers will Casey use? A) 50 B) 70 C) 80 D) 90

Answers

Answer:

90

Step-by-step explanation:

If we have total around 281 items, and we can divide them into groups of 3.

We can make around 281/3 groups which is about 90

D would be the closest to 93.666...

You would have to divide 281 and 3 and you have to round the number 93.666

A student earned grades of Upper Aâ, Upper Câ, Upper Aâ, Upper Câ, and Upper D. Those courses had the corresponding numbers of credit hours 3â, 4â, 3â, 2â, and 4. The grading system assigns quality points to letter grades asâ follows: Aequalsâ4; Bequalsâ3; Cequalsâ2; Dequalsâ1; Fequals0. Compute the grade point averageâ (GPA) as a weighted mean and round the result with two decimal places. If theâ Dean's list requires a GPA of 3.00 orâ greater, did this student make theâ Dean's list?

Answers

Answer:

G.P.A.=2.5

The Student did not make the Dean's List

Step-by-step explanation:

The Students Grade and Subject Weight are listed below.

[TeX]\left|\begin{array}{c|c|c|c}------&-------&------&------\\ Grade&Credit Hour& Grade Weight & Product \\------&-------&------&------\\ A & 3 & 4 & 12 \\ C & 4 & 2 & 8\\A & 3 & 4 & 12\\C & 2 & 2 & 4\\D & 4 & 1 & 4\\------&-------&------&------\\Total& &16 &40 \end{array} \right| [/TeX]

Grade Point Average=Total Credit Hour÷Total Number of Hours

=40÷16

G.P.A.=2.5

Since the Dean's list requires a GPA of 3.0 or greater, the student does not make the Dean's list.

Please , help me I completely don’t understand

Answers

answer:

yeah i dont knoww....

I need help on this on my bros​

Answers

Step-by-step explanation:

By 30°-60°-90° triangle theorem:

[tex]15 = \frac{1}{2} \times c.. (side\:opposite \: to \:30°)\\ c = 15 \times 2 \\ \\ \huge \red{ \boxed{c = 30 \: m}} \\ \\ b = \frac{ \sqrt{3} }{2} \times c.. (side\:opposite \: to \:60°) \\ \\ b = \frac{ \sqrt{3} }{2} \times 30 \\ \\ \huge \purple{ \boxed{b = 15 \sqrt{3} \: m}}[/tex]

In order to answer the question correctly, please use the following image below:

Use the diagram below to find the measure of LM. (The symbol is in the image below)

What is the degree measurement of LM?(The symbol is in the image below)

Please show all the work on how you got your answer. ( I'm not asking for an explanation. All I want is the work shown so I can understand how you got your answer)

Answers

Answer:

The value of ∠LPM is 60°

Step-by-step explanation:

It is given that a straight line is 180° and line LN is a straight line. So in order to find angle LM, you have to substract angle MN from 180° :

∠LPN = 180°

∠MPN = 120°

∠LPM + ∠MPN = 180°

∠LPM = 180° - ∠MPN

= 180° - 120°

= 60°

Answer:

60°

Step-by-step explanation:

LPN is a diameter (straight line passing through the centre)

X + 120 = 180

X = 60°

How much is $25/ an hour

Answers

Answer:

$50,000 per year

($1,000 per week)

A circular garden is surrounded by a rectangular grassy
area. The garden takes up nearly half the grassy area.
The base of the grassy area is 6 yards by 3 yards.
Use the base of the grassy area to find the approximate
area of the circular garden. Use pi = 3.14. If necessary,
round to the nearest tenth.
O 4.7 ydº
O 7.1ydº
O 9.4 yd?
O 28,3 yd2
3 yards
6 yards

Answers

Answer:

7.1 yds

Step-by-step explanation:

i just answered it

Answer:

7.1

Step-by-step explanation:

A researcher wants to examine the effect of caffeine on sleep. She splits participants into two groups. The first group drinks caffeinated-coffee at 8pm and the second group drinks decaf-coffee at 8pm. The researcher records what time participants fall asleep. What is the independent variable

Answers

Answer:

Type of coffee

Step-by-step explanation:

First, that is, it is the independent variable.

It is the variable that does not depend on another value or other circumstance, it is the variable that generally would be the options to choose from and depending on what is chosen, different results are obtained.

In this case, the variable that has this behavior is the type of coffee that will be taken, whether it is caffeinated or decaffeinated coffee.

Assignment
eo
equation.
Solve x2 - 64 = 0.
1. Isolate x2: x2 = 64
V x2 = 1764
Apply the square root property of equality:
3. Isolate the variable:
7
x=
x=

Answers

Answer:

x= 8, x= -8

Step-by-step explanation: 8 and -8

Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500seventh grade students in the school predict the number of seventh grade students in his school

Answers

Complete Question:

Lenny asked 125 randomly chosen seventh grade students at his school to name their favorite beverage there are 1500 seventh grade students in the school predict the number of seventh grade students in his schoolwhose favorite food is pizza. 58 of the 125 students likes pizza.

Answer:

n = 696

Step-by-step explanation:

Sample size = 125

number of students out of the 125 that like Pizza = 58

Probability that a student will like pizza, P = 58/125

P = 0.464

Since there are 1500 seventh grade students in the school, based on the probability that a student likes pizza = 0.464, number of seventh grade students in the school that like pizza will be:

n = 100 * P

n = 1500 * 0.464

n = 696



What type of relationship does there appear to be between the day of the week and the number of newspapers sold?
A) no relationship
B) quadratic relationship
C) exponential relationship
D) positive linear relationship

Answers

Answer:

A

Step-by-step explanation:

hi.

The maximum value of y in the equation y = -x2 + 6x – 8 is y=

Answers

Answer:

  1

Step-by-step explanation:

A graph shows you very quickly that the maximum value of y is 1.

__

There are several ways to get there algebraically. The axis of symmetry is given for ax^2 +bx by x=-b/(2a). Here, that value is x=(-6)/(2(-1)) = 3. The maximum y-value will correspond to this x-value:

  y = -3² +6·3 -8 = -9 +18 -8 = 1

The maximum value of y is 1.

__

The axis of symmetry can also be found by factoring:

  y = -(x -4)(x -2)

It is halfway between the values of x that make these factors zero, so is ...

  x=(4+2)/2 = 3

For that value of x, we find y to be ...

  y = -(3 -4)(3 -2) = 1

__

We can also rearrange the equation to vertex form:

  y = -(x^2 -6x) -8

  = -(x^2 -6x +9) -8 -(-9)

  = -(x -3)^2 +1

The vertex is (3, 1), so the maximum value of y is 1.

A local newspaper said that the city of Luttrell is expected to grow by 10% each year. The population in 2012 is 130,457 people. Let t represent the number of years after 2012. Which equation could be used to determine the total expected population, P, of Luttrell in t years?

Answers

Final answer:

The formula to calculate the expected population of Luttrell in t years, with a 10% annual growth rate, is P = 130,457 × (1 + 0.10)^t.

Explanation:

To determine the total expected population, P, of Luttrell in t years, given an annual growth rate of 10%, you would use the formula for exponential growth: P = P0 × (1 + r)t, where P0 is the initial population, r is the growth rate (expressed as a decimal), and t is the number of years after the initial time. In this case, since the population in 2012 (which is our initial time) is 130,457, and the growth rate is 10% or 0.10, the equation becomes P = 130,457 × (1 + 0.10)t. This equation will calculate the expected population after t years.

Final answer:

The equation to determine the total expected population of Luttrell in t years is P = [tex]130,457 × (1 + 0.10)^t,[/tex] where P is the population and t represents the number of years after 2012.

Explanation:

To determine the total expected population, P, of Luttrell in t years, given that it is expected to grow by 10% each year, you can use an exponential growth formula. The formula incorporating this percentage growth rate and starting population in 2012 is:

P = 130,457 × (1 + 0.10)^t

Here, 130,457 is the initial population in the year 2012, 1 + 0.10 represents the growth factor (where 0.10 is the 10% growth converted to a decimal), and t is the number of years after 2012.

For example, to find the population after 1 year (t = 1), you would calculate:

P =[tex]130,457 × (1 + 0.10)^1 = 130,457 × 1.10 = 143,502.7,[/tex] which you would round to the nearest whole person.

It took Jerry 3 4/5 hours to get to his grandmother's house. He walked for 2/5 hour to the train station, rode on a train for 1 4/5 hours, and then took a bus. How much time did Jerry spend riding on the bus?

Answers

Jerry spent 4/5 hour riding on the bus.

First, let's find the total time Jerry spent walking and riding the train:

Walking time = 2/5 hour

Train ride time = 1 4/5 hours

To find the total time spent, add these two:

2/5 + 1 4/5 = (2/5) + (1 + 4/5) = (2/5) + (1 + 4/5) = (2/5) + (5/5 + 4/5) = (2/5) + (9/5) = (2 + 9)/5 = 11/5 hours

Now, since Jerry spent a total of 11/5 hours walking and riding the train, to find out how much time he spent on the bus, we subtract this from the total time it took him to get to his grandmother's house:

Total time = 3 4/5 hours

Bus ride time = Total time - (Walking time + Train ride time)

              = 3 4/5 - 11/5

              = (15/5) - (11/5)

              = 4/5 hours

Identify the functions that have the given property.

The domain is all real numbers for .
An x-intercept is (pi,0) for .
The minimum value is –1 for .
An x-intercept is (pi/2,0) for .

Answers
1, both the sine and cosine function
2, the sin function
3, both the sine and cosine function
4, the cosine function

Answers

Answer:

this is right!

Step-by-step explanation:

i got it right on edge

Final answer:

The functions that have the given properties are the sine and cosine functions. The sine function is odd, with x-intercepts at integer multiples of pi and a minimum value of -1 at x=3pi/2. The cosine function is also odd, with x-intercepts at odd multiples of pi/2 and a minimum value of -1 at x=pi.

Explanation:

The functions that have the given properties are the sine and cosine functions.

The sine function: The sine function is odd, which means that it satisfies the property of being an odd function. The x-intercepts of the sine function are at integer multiples of pi, and the minimum value is -1 at x=3pi/2.The cosine function: The cosine function is also an odd function. The x-intercepts of the cosine function are at odd multiples of pi/2, and the minimum value is -1 at x=pi.

Therefore, the functions that satisfy all the given properties are the sine and cosine functions.

Use the distributive property to evaluate each expression (5-7)(-30

Answers

Answer:

60

Step-by-step explanation:

You first have to do the parenthesis

(5-7)= 5-7= -2

Then just multiply -30 by -2

Since negative x negative = positive, the answer will be positive.

(-2)(-30)= -2 x -30= 60

60



Determine whether each event is impossible,
unlikely, as likely as not, likely, or certain:
a) Bonne's Spanish Club meets on Tuesday
afternoons. How likely is it that Bonnie is at the
mall on Tuesday afternoon?​

Answers

Answer:

likely

Step-by-step explanation:

Which statement best describes the interquartile range of this set of weights?

{120 lb, 115 lb, 135 lb, 105 lb, 80 lb, 160 lb}
the difference between the first and sixth elements of the set as it is written above
the difference between the second and fifth elements of the set as it is written above
the difference between the first and sixth elements of the set after it has been ordered from least to greatest
the difference between the second and fifth elements of the set after it has been ordered from least to greatest

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

the difference between the second and fifth elements of the set after it has been ordered from least to greatest

Write the proportion of 5 and 20

Answers

Answer:

5 : 20 = 1 : 4

Step-by-step explanation:

Common multiple is 5 so divide each number bu five.

Ratio is 5:20, but it is simplified to 1:4.
For example, for every five cats, there are twenty dogs in a house

You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce. How high did the ball bounce after it first hit the floor?

Answers

Answer:

18 feet

Step-by-step explanation:

After each bounce, the ball reaches only a percentage of the maximum height it reached before.

The first height is 36 feet, after the first bounce, it will be 36*r, where r is the ratio of the height the ball can still reach by the previous maximum height.

In the second bounce, the height is 36*r^2

In the third bounce, the height is 36*r^3

In the fourth bounce, the height is 36*r^4, and this value is 2.25 ft, so:

36*r^4 = 2.25

r^4 = 2.25/36

r^4 =  0.0625

r = 0.5

So, after the first bounce, the height is:

36*r = 36*0.5 = 18 feet

The height should be 18 feet.

Given that,

You drop a ball from a stair case that is 36 ft high. By the time you get down the stairs to measure the height of the bounce, the ball has bounced four times and has a height of 2.25 ft after its fourth bounce.

Based on the above information, the calculation is as follows:

The first height is 36 feet.

Now after the first bounce, it will be 36r

Here r is the ratio of the height

In the second bounce, the height is [tex]36\times r^2[/tex]

In the third bounce, the height is [tex]36\times r^3[/tex]

In the fourth bounce, the height is [tex]36\times r^4[/tex], and this value is 2.25 ft, so:

Now

[tex]36\times r^4 = 2.25\\\\r^4 = 2.25\div 36\\\\r^4 = 0.0625[/tex]

r = 0.5

Now  

So, after the first bounce, the height is:

= 36r

= 36(0.5)

= 18 feet

Therefore we can conclude that The height should be 18 feet.

Learn more: brainly.com/question/17429689

A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. Of those who buy iPods 35% enjoy listening to country music. If N is the number of young people between 15 and 25. How many people between 15 and 25 this year will enjoy listening to country music on their iPods?
a) 14N.
b) 1.4N.
c) 0.14N.
d) 1.14N.

Answers

Answer:

The option C) 0.14N is correct ∴  35 % are enjoy  listening to Country music is 0.14N

Step-by-step explanation:

Given that "A recent survey reveals that 40% of young people between 15 and 25 years of age will buy an iPod this year. If N is the number of young people between 15 and 25"

To find how many people between 15 and 25 this year will enjoy listening to country music on their iPods:

From the given we can write

Total people between 15 and 25 age = N

Number of people who buys iPods is 40% of  N is

[tex] = \frac{40}{100}\times N[/tex]

= 0.4N

∴ Number of people who buys iPods is 40% of  N is 0.4N

From the given we have that 35 % are enjoy  listening to Country music means  

[tex]= \frac{35}{100}\times 0.4N[/tex]

[tex]=0.35\times 0.4N[/tex]

= 0.14N

∴  35 % are enjoy  listening to Country music is 0.14N Hence option C) 0.14N is correct.

Final answer:

Calculating 35% of 40% of the young people between 15 and 25 years who will buy an iPod, the number who will enjoy listening to country music on their iPods is 0.14N, making choice (c) the correct answer.

Explanation:

To determine the number of young people between 15 and 25 years old who will enjoy listening to country music on their iPods this year, we can first calculate the number of young people who will buy an iPod. Since 40% of the group is expected to buy an iPod, this is 0.40N. Next, out of these iPod owners, 35% enjoy listening to country music. Therefore, we can find the number of iPod owners who enjoy country music by taking 35% of the 40%, which is 0.35  times 0.40N. This calculation results in 0.14N young people enjoying country music on their iPods.

This leads us to the answer choice (c) 0.14N.

what is the fraction 3/4 over 100 as a decimal and percent?

Answers

Answer: 75% or .75

Step-by-step explanation:

Answer:

0.75%

Step-by-step explanation:

Start off by laying it out

                  3

            ------------

                  4

        --------------------

                100

Now that we have a visual representation of it:

Multiply 3/4 by its opposite reciprocal.

This means multiply 3/4 by 1/100 which

when you flip and multiply like that, you are technically dividing

So now lets look at it like this

3                   1

----     x     ------------

4                 100

Here we'll multiply straight across which goes as follows

In the numerator our answer will be 3*1

In the denominator is 4*100

The final fraction.

3/400

Now lets turn that into a decimal

0.0075

Then multiply it by 100 and add a % on the end and done

0.75%

Lucy and Katy are registering for a sports league for next year. There are 2 sports (volleyball and basketball) and 3 seasons (fall, winter, and spring) to choose from. They each created a display to represent the sample space of randomly picking a sport and a season. Whose display correctly represents the sample space?

Answers

Answer:

The sample space is: AV, WV, SV, AB, WB, and SB

Step-by-step explanation:

The sample space has all the possibilities in which Lucy and Katy can register for a sports league. Now, they have 2 sports and 3 seasons.

So, let's call V that they register in volleyball and B that they register in basketball. Additionally, let's call A that they register for fall, W that they register for winter, S that they register for spring.

It means that the sample space is:

AV, WV, SV, AB, WB, and SB

where, for example, AV is the possibility to be registered in fall and in volleyball.

Therefore, the display that correctly represents the sample space is the one that has all these possibilities.

When will my dad come back from the store?

Answers

Wait 8 to 10 years and he might come back.

Answer:

at this point, probably never

Step-by-step explanation:

well besides that, have a great day!

Mary lost 30 lbs. Before her diet she weighed 180 pounds. What is the percent of change?​

Answers

Answer:

The percent change is 16.67

Step-by-step explanation:

Answer:

16.7%

Step-by-step explanation:

Her weight decreased by 30 lb.

Expressed as a fraction:  (-30 lb)/(180 lb) = (-1/6)

As a percentage, her weight loss came to (-1/6)(100%) = 16.7%

On the school playground, the slide is 7 feet due west of the tire swing and 7 feet due south of the monkey bars. What is the distance between the tire swing and the monkey bars?

Answers

Answer:

Step-by-step explanation:

According to the question, a slide is 7 feet due west of a tire swing and 7 feet due right of the monkey bars and we were asked the calculated the distance between them.

If you look at it carefully, since the slide is due west of the tire swing and 7 feet due south of the monkey bars, you'll notice a shaped form, the shape formed is an inverted right-angled triangle.

Right-angled Triangles can be solved using pythagoras' theorem which says [tex]a^{2} + b^{2} = c^{2}[/tex].

a= 7, b=7, c=??

[tex]c^{2} = 7^{2} + 7^{2}[/tex]

[tex]c =\sqrt{98}[/tex]

c = 9.9 feet

Final answer:

The distance between the tire swing and the monkey bars is found using the Pythagorean theorem, which gives approximately 9.90 feet.

Explanation:

To find the distance between the tire swing and the monkey bars, we can model the situation using a right triangle. The slide being 7 feet due west of the tire swing and 7 feet due south of the monkey bars forms a right-angled triangle with the slide as the vertex where the right angle is, the tire swing and monkey bars forming the other two vertices.

Using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the legs (a and b), we can find the distance (hypotenuse) between the tire swing and the monkey bars.

In other words, we have:

a² + b² = c²

Given:

a = 7 feet (distance from slide to tire swing)

b = 7 feet (distance from slide to monkey bars)

We can calculate:

c² = 72 + 72 = 49 + 49 = 98

The distance (c) is the square root of 98, which is approximately 9.90 feet.

Therefore, the distance between the tire swing and the monkey bars is approximately 9.90 feet.

Other Questions
A dumbbell-shaped object is composed by two equal masses, m, connected by a rod of negligible mass and length r. If I_1 is the moment of inertia of this object with respect to an axis passing through the center of the rod and perpendicular to it and l_2 is the moment of inertia with respect to an axis passing through one of the masses, it follows that l_1 = l_2. l_l > l_2. l_2 > l_1 How many batches of cookies can you make if you have 8 cups of flour and recipe calls for 3/4 per batch? 26)Which expression demonstrates the distributive property applied to the expression 4(3 + 7)?4 (7 + 3)4 x 3 +74* (7 * 3)4x3+4x7 please help!!! I don't understand lol Let G be the number (in billions) of new green tea sales. Let I be the number in billions)of new fruit juice sales. During a 20-year period, G and I can be modeled by the followingequation, where t is the time in years).G = 674 + 3t 2t + 5t + 60J = 314 - 31 + 512 - 5t + 45Find a new model A for the total number of new green tea and fruit juice sales. A student obtained the Rydberg constant to be 2.16*10-18 J. What is the % error of the measurement? Answer as percentage and keep one decimal place. For example, if your answer is 12.5%, please either use 12.5% or 12.5. The fraction 0.125 will NOT be counted as correct answer. If a current flowing through a lightbulb is 0.75 ampere and the voltage difference across the lightbulb is 120 volts, how much resistance does the light bulb have Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S = 15 L0.2 C 0.8 In this formula L represents the units of labor input and C the units of capital input. Each unit of labor costs $50, and each unit of capital costs $100. (a) Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost. Min L + C L0.2 C 0.8 L, C (b) Solve the optimization problem you formulated in part a. Hint: When using Excel Solver, start with an initial L > 0 and C > 0. If required, round your answers to two decimal places. L = $ C = $ Cost = $ what is perpendicular to -96/17 How can you use the Pythagorean Theorem to solve real-world problems?You can use the Pythagorean Theorem to find missing ________ (angles or lengths) in objects that are_________. ( squares, right triangles, or equilateral Triangles) When Jean-Claude came back from skiing he wanted to brew a cup of coffee. Because he was out of coffee filters, he settled for tea. Jean-Claude's failure to realize he could use a paper towel as a coffee filter best illustrates: A consumer is reading a magazine with an advertisement, but due to a loud sound he is distracted from reading the advertisement and is not able to grasp its key points. In the context of the communication process, this unplanned static or distortion is called ________. This set of ordered pairs is a function (22, 4), (21, 1), (0, 0), (1, 1), and (2, 4).Please explain like you were teaching how you can know this is a function. The president of the Senate is also ______________________.lieutenant governorchief justicespeaker of the housefloor leader 4. PART B: Which quote from the text best supportsthe answer to Part A?O A "the important milestones in the other WesMoore's life." ( Paragraph 14)OB "when he came out of that GED program, he wasvery fired up and excited about life and excited todo things differently" (Paragraph 16)O C "how strong that calling and how strong thatpullback into the streets was, to the point that iteventually broke him." (Paragraph 16)O D "we should say that you also had run-ins with thelaw yourself, and you fted with the idea ofwalking across that line" (Paragraph 22) Aurora is a neuropsychologist focused on mapping certain reward circuits in the brain. She is not concerned about how her work might be used to change behavior but instead she is just trying to further knowledge about these circuits for the sake of knowledge. Aurora's research can be described as: Describes the distribution of sodium and potassium between cells and body fluids Olivia works 3-hour shifts at thelibrary. She is paid $45 per shift.What equation can be used torepresent the amount of moneyOlivia earns, m, for working atotal of h hours? What shape is formed when a plane slices through a sphere at any angle?ovalrectangletrianglecircle A rectangle with a length of 2 w and width of w. An equilateral triangle with side lengths of w + 8. The perimeters of a rectangle and an equilateral triangle are equal. What is the equation for this scenario? rectangles perimeter: equilateral triangles perimeter: scenarios equation: