A train travels 250 km with a average speed of 75 km/hr and 350 km with 70km/hr and 200 km with average speed of 30km/hr. What will the average speed of whole journey of the train?

Answers

Answer 1

Answer:

53 1/3 km/h

Step-by-step explanation:

average speed = (total distance)/(total time)

average speed = distance/time

time * average speed = distance

time = distance/(average speed)

250 km at 75 km/h

distance = 250 km

time = (250 km)/(75 km/h) = 3.33333... hours

350 km at 70 km/h

distance = 350 km

time = (350 km)/(70 km/h) = 5 hours

200 km at 30 km/h

distance = 200 km

time = (200 km)/(30 km/h) = 6.6666...  hour

total distance = 250 km + 350 km + 200 km = 800 km

total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours

average speed = (total distance)/(total time)

average speed = (800 km)/(15 hours)

average speed = 53 1/3 km/h

Answer 2

The average speed of whole journey of the train is 45 km/hr

Average speed is the ratio of total distance travelled to total time taken. It is given by:

Average speed = total distance / total time

Given that a train travels 250 km with a average speed of 75 km/hr, hence:

75 = 250/time

time = 3.33 hours

It the travel 200 km with average speed of 30km/hr, hence:

30 = 200/time

time = 6.67 hours

The total distance = 200 km + 250 km = 450 km

The total time = 3.33 hr + 6.67 hr = 10 hours

Average speed = total distance/total time = 450 km/10 hours = 45 km/hr

The average speed of whole journey of the train is 45 km/hr

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Related Questions

need help...!!ASAP..!! plz....

Answers

the answer for this is A

Answer:

Correct option is A

Step-by-step explanation:

3x - 7

Three times a number x minus 7

Or

The difference of there times a number and 7

70000000000x50000000000000

Answers

Answer:

Step-by-step explanation: Multiply

70000000000*50000000000000=3.5e+24

What number increased by 15% equal 161

Answers

Answer:

100%+15% = 115%

proportionally:

x - 100%

161 - 115%

x = (161 * 100%) / 115% = 140

Answer:

[tex]\Large\boxed{140}[/tex]

Step-by-step explanation:

[tex]\sf Let \ x \ be \ the \ number.[/tex]

[tex]\sf x \ increased \ by \ 15\% \ is \ 161.[/tex]

[tex]x \times (1+15\%)=161[/tex]

[tex]x \times (1+0.15)=161[/tex]

[tex]x \times (1.15)=161[/tex]

[tex]\displaystyle \frac{x \times (1.15)}{1.15}=\frac{161}{1.15}[/tex]

[tex]x=140[/tex]

Solve the equation 1) 4.3^x+1 = 27+9^x
2) 3^x+5= 3^x+3+8/3

Answers

Answer:

Step-by-step explanation:

4*3^x+1=27+(3^2)^x

(3^2)^x=(3^x)^2

3^x=t

4t+1=27+t^2

t^2-4t+27-1=0

t^2-4t+26=0

delta=4^2-4*1*26=16-84=-68<0

the  equation has not real solutions

Axel has spent 25% of his money on a video game. If the price of the video game was $ 45, how much money did Axel have before the purchase?

Answers

Answer:

$180

Step-by-step explanation:

25% = 1/4

x/4 = 45

45*4 = 180

Axel had $180 dollars before he purchased the videogame.

A clerk at Agency Y has determined that at speeds of 25 pages per minute it is typical for 3 out of every 100 pages she photocopies to contain some type of printing error. How many pages with printing errors would she expect to find during a 4-hour photocopying session at 25 pages per minute

Answers

Answer:

180 pages

Step-by-step explanation:

Since her photocopy session is 25 pages per minute, the total number of pages photocopied in 4 hour session can be calculated as;

number of pages = time × speed

                                 = (4 × 60) × 25

                                 = 240 ×25

                                 = 6000 pages

Thus, number of pages photocopied in 4 hours is 6000.

For every 100 pages, 3 would contain some type of printing error. The number of pages she expect with printing error during 4 hour session can be determined as;

           = [tex]\frac{6000}{100}[/tex] × 3

           = 60 × 3

           = 180 pages

The expected number of pages with printing error during 4 hour photocopying session is 180 pages.

Find the area of the green sector if m2 A-T
and the circle has a radius of 10 inches.

Answers

The area is:

A = πR² ------- 2π

A = x --------- π/6

x = πR²/12

x = π.(10)²/12

x =  26.18 in²

Hope it helps x

Consider the function f(x)=|-x-3/2|-1

Answers

Answer:

x1(1 is on the bottom)= -5/2 (fraction), x2(2 on the bottom)=-1/2 (fraction)

Step-by-step explanation:

Please answer quickly i will give you brainliest if its correct- it has to be a simplified fraction please

Answers

Answer:

[tex]\large \boxed{{r=\frac{1}{9}}}[/tex]

Step-by-step explanation:

x and y are proportional.

[tex]y=rx[/tex]

Let x = 45 and y = 5.

[tex]5=r(45)[/tex]

Solve for r (constant of proportionality).

Divide both sides by 45.

[tex]\displaystyle \frac{5}{45} =r[/tex]

Simplify and switch sides.

[tex]\displaystyle r=\frac{1}{9}[/tex]

Is 3+(-4) the same as -4+3 ? Explain​

Answers

Yes, both equal 7. I hope this helps

Evaluate the expression for the given value of the variable. −3x3, when x = 4

Answers

Answer:

The answer is - 192

Step-by-step explanation:

The expression

- 3x³

To find the value of the expression when

x = 4 substitute the value of x that's 4 into the expression

We have

- 3(4)³

= - 3( 64)

The final answer is

- 192

Hope this helps you

Is the relation a function?

Answers

Answer:

Yes it's a function

Step-by-step explanation:

ANSWER:
Yes it is a function.

A. 19
B. 20
C. 15
D. 25
Help please !!

Answers

Answer:

A

Step-by-step explanation:

What is the equation for the line of symmetry in this figure?

Answers

Hey there! I'm happy to help!

A line of symmetry is a line that cuts a figure in half so that it is the same on both sides. We cannot do a vertical line because one side is different than another. We could do a horizontal line where y=3 the whole time. This would cut the shape in half so it is the same on both sides.

Therefore, the equation for the line of symmetry in this figure is y=3.

Have a wonderful day! :D

The horizontal line y = 3 is the required equation of line that makes the symmetric figure.

What is a line of symmetry?

A line of symmetry is a line that splits a figure in two and makes the two halves identical.

In the given figure,

One side is different from the other, we are unable to draw a vertical line.

A horizontal line with y = 3 throughout could be drawn. This would split the form in half, making both sides identical.

Therefore, line y = 3 is the equation of line that will make figure symmetric.

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Can someone please tell me how to solve this problem??!! I literally have to go back in math if I don’t pass this HELP!!

Answers

Answer:

          D.   270° < φ < 360°

Step-by-step explanation:

Imagine coordinate system

I quarter is where x>0 and y>0  {right top} and it is (0°,90°)

II quarter is where x<0 and y>0  {left top} and it is (90°,180°)

III quarter is where x<0 and y<0  {left bottom} and it is (180°,270°)

IV quarter is where x>0 and y<0  {right bottom} and it is (270°,360°)

Now, we have an angle wich vertex is point (0,0) and one of its sides is X-axis and the second lay at one of the quarters.

For the trig functons of an angle created by this second side always are true:

In first quarter all functions are >0

in second one only sine

in third one: tangent and cotangent

and in fourth one: cosine

{You can check this by selecting any point on the second side of angle and put it's coordinates to formulas of these functions:

[tex]\sin \phi=\dfrac y{\sqrt{x^2+y^2}}\,,\quad \cos \phi=\dfrac x{\sqrt{x^2+y^2}}\,,\quad \tan\phi=\dfrac yx\,,\quad \cot\phi=\dfrac xy[/tex]  }

So:

sinφ<0  ⇒ III or IV quarter

tanφ<0  ⇒ I or IV quarter

IV quarter  ⇒  φ ∈ (270°, 360°)

WILL MARK BRAINLIEST HELP ASAP The student's in Roberto's school are painting a mural that will be 8 feet by 15 feet. First they make a scale drawing of the mural with a scale of 2 feet:5 feet. What are the length and width of the scale drawing in feet?

Answers

Answer:

4ft and 3ft

Step-by-step explanation:

Real mural: 8ft by 15ft

Scale: 2ft by 5ft

Length and width of scale drawing> 8t / 2ft= 4ft (length

                                                         >15ft/ 5ft= 3ft(width)

ANSWER 4FT BY 3FT

85,58,72,85,46,93 mean,mode,range,median​

Answers

Answer:

mean: 73.2

mode : 85

range:47

median: 78.5

Step-by-step explanation:

85,58,72,85,46,93

first put the numbers in order from least to highest

46,58,72,85,85,93

mean: is the sum of the terms divided by the number of terms

(85+85+72+58+46+93)/6=73.2 ( rounded to the nearest tenth)

mode : is the element that occurs the most: in this case it is 85 occurs twice

range : subtract the minimum data from max. data: 93-46=47

median : is the middle number, in this case it is even so take the middle two numbers and divide by 2: 85+72/2= 157/2=78.5

median = 78.5

The mean value is 73.

The mode value is 85.

The range value is 47.

The median value is 78.5.

What is a mean?

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

85,58,72,85,46,93

Mean = (85 + 58 + 72 + 85 + 46 + 93) / 6

Mean = 73

Mode is the number that occurs the most times in the set.

Mode = 85.

Range = Highest value - Lowest value.

Range = 93 - 46 = 47.

The Median is the middle value after arranging the set in order.

46, 58,72,85, 85, 93

Median = (72 + 85) / 2

Median = 78.5

Thus,

The means is 73.

The mode is 85.

The range is 47.

The median is 78.5.

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solve the equation
x/3+y/4=4

Answers

Answer:     [tex]y=-\dfrac{4}{3}x+16[/tex]

Step-by-step explanation:

[tex]\dfrac{x}{3}+\dfrac{y}{4}=4\\\\\\\text{Multiply everything by 12 to eliminate the denominator:}\\\dfrac{x}{3}(12)+\dfrac{y}{4}(12)=4(12)\\\\4x+3y=48\\\\\\\text{Subtract both sides by 4x:}\\3y=-4x+48\\\\\\\text{Divide everything by 3:}\\y=-\dfrac{4}{3}x+16[/tex]

find the positive square root upto 3 decimal points of 3

Answers

Answer:

1.732050808

Step-by-step explanation:

Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths

Answers

Answer:

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Step-by-step explanation:

In numbers it is written in the order

Th    H    Tens    Units    Decimal   Tenths   Hundredths  Thousandths

57    8      0          0          .                0             22

57     8      0         0          .                 3

This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze

3/10 and 22/100

Converting them into decimals we get

0.3 and 0.22

therefore 0.3 is greater than 0.22

so Choice a is only correct .

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Answer: The person above me is correct

explanation:

I said that because i don't want no one saying that i copied them

Two similar figures have sides in the ratio of 2:3. Ita side of the smaller triangle has a length of 7, what is
the length of the corresponding side of the other triangle?

Answers

Answer:

10.5

Step-by-step explanation:

2/3=7/x

2x=21

x=21/2=10.5

convert -1.2i - 1.6j to polar cordinates

Answers

Answer:

Step-by-step explanation:

z=xi+yj

x=-1.2=r cosθ (say)

y=-1.6=r sinθ(say)

square and add

r²cos²θ+r² sin ² θ=(-1.2)²+(-1.6)²=1.44+2.56=4

r²=4

r=2

divide

tanθ=y/x=-1.6/(-1.2)=16/12=4/3

θ=tan ^{-1}(4/3)≈53.13°

so polar coordinates are (2,53.13°)

Ava's car used 6 gallons of gas to drive 132 miles. At what rate does her car use gas in gallons per mile? Express your answer in simplest form.

Answers

Answer:

Rate of gas in gallons per mile

= 0.045454545 gallon/mile

Or

Rate of gas in gallons per mile

= 1/22 gallon/mile

Step-by-step explanation:

Ava's car uses 6 gallons of gas to drive through a distance of 132 miles.

Thanks rate of gallon to distance will be given by the formula below

Rate of gas in gallons per mile

=Number of gallons/ distance covered in miles

Rate of gas in gallons per mile= 6/132

Rate of gas in gallons per mile= 1/22

Rate of gas in gallons per mile

= 0.045454545 gallon/mile

New York City is a popular feild trip destination. This year the senior
class at High School A and the senior class at High School B both
planned trips there. The senior class at High School A rented and filled
8 vans and 4 buses with 220 students. High School B rented and filled 12 vans and 4 buses with 228 students. Every van had the same
number of students in it as did the buses. How many students can a
van carry? How many students can a bus carry?​

Answers

Step-by-step explanation: look so if you have

shcool A its 8v+4b=12

and

School B: 12v+4b= 16

since both classes used 4 busses we can use elimination by subtracting the A class Equation from the b class equation to solve from v for its value Then, use either equation and the now found value for v to solve for b.

You should find part of the process to be

12v+4b-(8v+4b)=12-16 which shows the van holds only a few people even before continuing the solution.

Answer -4

1. Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? 2. What is the vertex of the parabola with the equation y=(x−2)2+10?

Answers

Answer:

Step-by-step explanation: u hv 2 make a table for x and y and put in #'s like 1,2,3,4 so u get 1 side of the parabola. x-1, y-11/x-2,y-11/x-3,y-11/x-4,y-14; here u c that u have 2 y's=11 so the points between are the Vertex Points of (2,10)

X has a coefficient, the vertext is (2,10)

I'm stuck, please help

Answers

Step-by-step explanation:

A).

[tex] \frac{2}{ \sqrt{x} } [/tex]

Using the rules of indices

[tex] \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]

So we have

[tex] \frac{2}{ {x}^{ \frac{1}{2} } } [/tex]

And also by the rules of indices

[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]

Applying the rules to the above expression we have the final answer as

[tex]2 {x}^{ - \frac{1}{2} } [/tex]

B).

[tex] \frac{3}{ {x}^{2} } [/tex]

By using the rules of indices

[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]

Applying the rules to the above expression

We have the final answer as

[tex]3 {x}^{ - 2} [/tex]

Hope this helps you

. Two trains leave a train station traveling different directions. The first train travels 12 miles west, then 6 miles north. The second train travels 20 miles east, then 35 miles north. a. The train station is the origin. What is the coordinate of each train? b. Using the train station and the stop point of the first train, what is the slope of the line? Is it horizontal, vertical or neither? Write the equation of the line in slope-intercept form and standard form. c. The city wants to build a second train station 2 miles directly north of the first train station. They are going to build a train track from the second train station that is parallel to the path the first train would've traveled if it had taken a direct route to its stopping point. What would be the equation of the line in slope intercept form of the new track?

Answers

Answer:

a. The coordinates of the first train are (-12,6).  The coordinates of the second train are (20,35).

b. The slope of the line for the first train is [tex]-\frac{1}{2}[/tex].  The slope is neither horizontal or vertical.  It slopes diagonally downward from left to write since the slope is negative.  In slope-interdept form, it is written as [tex]y=-\frac{1}{2} x[/tex].  In standard form, it is written as [tex]x+2y=0[/tex].   The slope of the line for the second train is [tex]\frac{7}{4}[/tex].  The slope is neither vertical or horizontal.  It slopes diagonally upward from left to right since the slope is positive.  In slope-intercept form, it is written as [tex]y=\frac{7}{4}x[/tex].  In standard form, it is written as [tex]-7x+4y=0[/tex].

c. The equarion of a line in slope-intercept form of the new track would be [tex]y=-\frac{1}{2} x+2[/tex].

Step-by-step explanation:

a.  The way to find the coordinates is either to picture a coordinate grid in your head or to have one out in front of you for a visual.  The first train travels 12 miles west, or 12 units to the left (-12), and 6 miles north, or 6 units up (6).  On a coordinate plane, that would be marked as (-12,6).  The second train travels 20 miles east, or 20 units to the right (20), and 35 miles north, or 35 units up (35).  On a coordinate plane that would be marked as (20,35).  This means that the coordinates of the first train would be (-12,6), and the coordinates of there second train would be (20,35).

b. The way to find slope is to find [tex]\frac{delta "x"}{delta "y"}[/tex].  "Delta" means "the change in".  The equation would be [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].  So, let's find the slope of the first train's travel path.  We'll use the origin, (0,0), and the stopping point, (-12,6), as our coordinates to find the slope.  [tex]\frac{0-6}{0-(-12)}=\frac{0-6}{0+12}=\frac{-6}{12}=\frac{-1}{2}=-\frac{1}{2}[/tex].  That makes the slope of the first train's travel path to be (-1/2).  Now, let's find the slope of the second train's travel path.  We'll use the origin, (0,0), and the stopping point, (20,35), as our coordinates to find the slope.  [tex]\frac{0-35}{0-20}=\frac{-35}{-20}=\frac{35}{20}=\frac{7}{4}[/tex].  That makes the slope of the second train's travel path to be (7/4).  They want to know the equation of the travel path line in slope-intercept form and in standard form, and what the line looks like.  To start off, any vertical line would be undefined, and that would be if the slope was a fraction with a denominator of zero, which doesn't occur for either train path.  A horizontal line  would be if the slope was zero itself and the trains were not moving, but the trains are moving, so that's not possible either.  The way to determine theway a slope is diagonally is to look at whether the slope is positive or negative.  The first train's path slopes negatively, so it moves diagonally downward from left to right, or diagonally upward from right to left (both the same thing).  The second train's path slopes positively, so it moves diagonally upward from left to right, or diagonally downward from right to left.  Finally, the equations for this part of the question.  For both trains, the origin is the y-intercept, so the y-intercept does not have to be written in the slope-intercept equation.  The slope-intercept form of an equation of a line is [tex]y=mx+b[/tex] where "m" is the slope and "b" is the y-intercept.  The "b" value is 0, so that will not be written.  The slope for the first train is (-1/2), so the slope-intercept form of the first train's travel path is y=(-1/2)x.  The slope of the second train is (7/4), so the slope-intercept form for this train's path is y=(7/4)x.  As for standard form, subtract the "mx" value from both sides, and set the equation equal to 0. Also, get rid of any fractions. So, for the first train, standard form would be x+2y=0.  And for the second train, standard form would be -7x+4y=0.

c.  Parallel means having the same slope but a different y-intercept.  The second train station would be placed two miles north, or two units up, from the first train station.  The first train station is at (0,0), so the second train station would be placed at (0,2).  That makes 2 the y-intercept for if the first train had taken the second train station's travel route.  The slope for the intitial route was (-1/2), so that will stay the same.  Therefore, the equation of thr route taken if the first train had come out of the second train station, if it was already built, would be y=(-1/2x)+2.

Find the equation of a line given the point and slope below. (6, 6) no slope

Answers

Answer:

x = 6

Step-by-step explanation:

no slope means vertical line x = ?

Web site W receives orders for its products every day. What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.

Answers

Answer:

The standard deviation is zero

Step-by-step explanation:

Given that:

Web site W receives orders for its products every day.

What is the standard deviation of the numbers of orders that Web site W received daily for the past 5 days?

If :

(1) The average (arithmetic mean) number of orders that Web site W received per day for the past 5 days is equal to the greatest of the numbers of orders that Web site W received daily for the past 5 days.

SO, IF the average (arithmetic mean) is greatest , therefore, this implies that the  number of orders per day remains the same. Then the standard deviation will be zero because the set of values for the number of orders per day for the five days is the same.( i.e contains identical numbers).

.(2) The range of the numbers of orders that Web site W received daily for the past 5 days is equal to 0.

The range is the difference between the greatest value and the smallest value.

i.e

greatest value -  smallest value = 0

greatest value =  smallest value

Therefore , the range is zero and the standard deviation will remain the same (zero)

Solve the equation
(If possible please show work)

Answers

Hope you got the answer .
Other Questions
how many are 9 raised to 3 ??? Using these lines from Act II, explain the relationship between Macbeth's words and the words of Duncan's sons. You must cite from and explain these lines in your response. (25 points) Macbeth Had I but died an hour before this chance, I had liv'd a blessed time; for, from this instant There's nothing serious in mortality: All is but toys: renown and grace is dead; The wine of life is drawn, and the mere lees Is left this vault to brag of. Malcolm What will you do? Let's not consort with them: To show an unfelt sorrow is an office Which the false man does easy. I'll to England. Donalbain. To Ireland, I; our separated fortune Shall keep us both the safer: where we are, There's daggers in men's smiles: the near in blood, The nearer bloody. The following is a list of the steps that occur in the production of an auditory sensation. 1. The pressure wave distorts the basilar membrane on its way to the round window. 2. Movement of the tympanic membrane causes displacement of the malleus. 3. Displacement of the stereocilia stimulates sensory neurons of the cochlear nerve. 4. Movement of the malleus causes movement of the incus and stapes. 5. Distortion of the basilar membrane forces the hair cells of the organ of Corti toward or away from the tectorial membrane. 6. Movement of the oval window establishes pressure waves in the perilymph of the vestibular duct. The proper sequence for these steps is:___________.A. 2,4,1,6,5,3B. 2,4,6,3,5,1 C. 2,1,4,6,5,3D. 2,4,6,1,5,3E. 2,5,4,6,1,3 Merry Maidens Cleaning generally charges $280 for a detailed cleaning of a normal-size home. However, to generate additional business, Merry Maidens is offering a new-customer discount of 10%. On May 1, Ms. E. Pearson has Merry Maidens clean her house and pays cash equal to the discounted price. Required: Record the revenue earned by Merry Maidens Cleaning on May 1. Find a particular solution of the differential equation-(5/4)y" + 2y' + y = 3x*e^(3x)using the Method of Undetermined Coefficients (primes indicate derivatives with respect to x).Find the following particular solutionyp= ? g Cell autonomous genes affect only those cells in which they are expressed. Which group of early developmental genes are not cell autonomous? Simplify the expression where possible. (r^-3 s^2 t)^4 You are considering two mutually exclusive projects with the following cash flows. Which project(s) should you accept if the discount rate is 8.5 percent? What if the discount rate is 13 percent?Year 0 1 2 3Project A -80,000 31,000 31,000 31,000Project B -80,000 0 0 110,000 A student uses his place value chart to show number after the teacher instructed him to divide a number by 100 the charge of 28.003 what was the chart look like first Let U = {q,r,s,t,u,v,w,x,y,z}, A={q,s,u,w,y}, B={q,s,y,z}, and C={v,w,x,y,z}. List the elements in the set open parentheses A union B close parentheses to the power of apostrophe intersection C m= -1/2 and the point (3, -6) which is the point -slope form of the equation Can someone please help!! ****This problem is multiple choice! discuss why using deductive reasoning is better than inductive reasoning in a persuasive speech.Glve examples of each to support your explanation. An oil film (n = 1.48) of thickness 290 nm floating on water is illuminated with white light at normal incidence. What is the wavelength of the dominant color in the reflected light? A. Blue (470 nm) B. Green (541 nm) C. Violet (404 nm) D. Yellow (572 nm) Fresno County, California is the largest agricultural producing county in the country and almonds are an important crop with more than 99,000 acres harvested. Each acre produces about a ton of almonds and sold at a price of $4300 a ton. The Sagardia Brothers grew 600 acres of almonds . How many tons would the brothers sell if they priced the almonds at $4500 a ton? Leading up to the Battle for New York in 1776, Hamilton joined the ContinentalArmy hoping to see action in battle and perhaps a battle command. On whosestaff did he instead serve?Your answer what is the first step to solving this problem: 3x-10=2(x+3) If two identical wires carrying a certain current in the same direction are placed parallel to each other, they will experience a force of repulsion.a) trueb) false A circular loop of wire has radius of 9.50 cmcm. A sinusoidal electromagnetic plane wave traveling in air passes through the loop, with the direction of the magnetic field of the wave perpendicular to the plane of the loop. The intensity of the wave at the location of the loop is 0.0215 W/m2W/m2, and the wavelength of the wave is 6.90 mm.What is the maximum emf induced in the loop? Express your answer with the appropriate units. What is the primary source of energy in most living communities?