The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

Answer:

The highest score is 91 and the lowest score is 53  

Step-by-step explanation:

The highest and lowest scores on a test taken by 80 students are within 19 points of the average of the exam. The average is 72.

1. The method used to solve this question, is the use of absolute values.

2. Let x be the value that we can use to represent the lowest and highest scores. The equation using absolute values is given as:

| x - 72 | = 19.

Therefore:

x - 72 = 19 (highest score) or

- (x - 72) = 19 (lowest score)

3. We have to find the value of x for which it is the highest or lowest score.

The highest score is given as:

x - 72 = 19

x = 19 + 72

x = 91

For lowest score:

-(x - 72) = 19

-x + 72 = 19

x = 72 - 19

x = 53

The highest score is 91 and the lowest score is 53  

Answer:

y=3/2x+6

Step-by-step explanation:

Slope-intercept form: y=mx+b

Slope: (y2-y1)/(x2-x1)

(-2, 3) and (2, 9)

6/4

3/2

Y intercept, (0, 6)

y=3/2x+6

Answer:

2.75 cm

Step-by-step explanation:

You can multiply the diameter by the scale factor to find the size of the diameter on a scale diagram.

55 * 0.05 = 2.75 cm

Answer:

55%

Step-by-step explanation:

We need to first find the total length of the side.

let remaining length be x

perimeter= 40cm

4 (s)=perimeter

4(7+x)=40

28+4x=40

4x=40-28=12

4x=12

x=12/4=3

total length= 7+3= 10cm

4+y= 10=

y=6

therefore, area of square= s*s= 10*10=100cm²

find areas of the two triangles (unshaded).

1/2*3*10= 15cm²

1/2*6*10= 30 cm²

15/100*100= 15%

30/100*100= 30%

shaded percentage= 100-(15+30)

= 100-45

= 55%

Answer:

x=-3 or 4

Step-by-step explanation:

Answer:

the answer is 9

Step-by-step explanation:

you multiply the 6 and 3 and get 18 and then divide by 2 to get 9

Answer:

Step-by-step explanation:

perimeter is the sum of sides of a triangle or length of botder

For a line with a positive slope that passes through (0, 1), the points that can't be on the line are:

(-3, 1) and (5, -2)

We know that the line passes through the point (0, 1) and has a positive slope. This means that for values of x larger than x = 0, the values of y in the line will be larger than 1.

Then if we find a point with:

x > 0

y ≤ 1

That point clearly can't belong to our line.

And points with:

x < 0

y ≥ 1

Also can't belong to the line.

Then the correct options are: (-3, 1) and (5, -2)

If you want to learn more about linear equations:

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Answer:

The ACTUAL answer is.. (-3,1) and (5,-2), in other words, C and E.

Step-by-step explanation:

You're welcome, I got the question wrong,o_o, that's the only reason I know the answers, good day.

Answer:

x=2, y=3

Step-by-step explanation:

y = 3

3x-y =3

Substitute y =3 into the second equation

3x -3 =3

Add 3 to each side

3x-3+3 = 3+3

3x=6

Divide by 3

3x/3 = 6/3

x =2

Answer:

Step-by-step explanation:

y=3

3x-y=3

lets plug in 3 for y

3x-3=3

3x=6

x=2

the solution to this linear system of equations is:

(2,3)

Answer:

30

Step-by-step explanation:

These two triangles are similar, thus they have equal angle measures.

Answer:

30

Step-by-step explanation:

all the interior angles in the triangle adds up to 180

85 + 65=150

180-150=30

Answer: 17974.16m cubed

Answer:

x^4 +y+1

Step-by-step explanation:

The quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].

The vertex form of a quadratic function is [tex]f(x) = a(x-h)^{2} + k[/tex] where a, h, and k are constants and (h, k ) is the vertex of the graph of the function.

According to the given question we have

The graph has the vertex is (1, 0) and passes through (2, -17)

Since, the general form of a quadratic function in a vertex form  is

[tex]y = a(x-h)^{2}+ k[/tex]

substitute, h = 1 and k = 0 in the above equation

⇒ [tex]y = a(x-1)^{2} +(0)^{2}...(i)[/tex]

Also, the graph passes through the point (2, -17)

⇒ [tex]-17 = a(2-1)^{2}[/tex]

⇒ -17 = a or a = -17

Substitute the value of a in equation (i).

⇒[tex]y = -17(x-1)^{2}[/tex]

Therefore, the quadratic function in vertex form whose graph has the vertex (1, 0) and passes through the point (2, -17) is [tex]-17(x-1)^{2}[/tex].

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Answer 3 kilometers

15 kilometers total minus 12 kilometers of the east bound car leaves only 3 kilometers for the northbound car to travel.

Part 1 . " Spinner Problem "

Answer:

" Expected Payoff " ⇒ $ 6.5 ; Type in 6.5

Step-by-step explanation:

[tex]Spinner Sections - 50 Sections,\\Numbers On Spinner - 1 To 50,\\\\Odd = Even,\\Odd Numbers = 50 / 2 = 25,\\Even Numbers = Odd Numbers = 25,\\\\Probability Of Spinning Odd Number - 25 / 50 = ( Simplified ) 1 / 2,\\Money Won - 13 Dollars,\\\\Proportion - 1 / 2 = x / 13, Where - x = " Expected Payoff "\\\\1 / 2 = x / 13,\\2x = 13,\\x = 6.5 Dollars,\\\\Conclusion ; x = 6.5 Dollars[/tex]

Solution ; " Expected Payoff " $ 6.5

_____________________________________________________

Part 2 . " Ticket Problem "

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

Answer:

0.565 m^3 to the nearest thousandth.

Step-by-step explanation:

The volume of the cylinder = π r^2 h

Here the radius r = 1/2 diameter

= 1/2 * 3 = 1.5 m

8 cm = 0.08 m.

So the volume = π (1.5)^2 * 0.08

= 0.565 m^3 to the nearest thousandth.

Answer: 153.86 cm²

Step-by-step explanation: To find the area of the circle shown here, start with the formula for the area of a circle which is A = πr².

Notice that here, we're given the diameter instead of the radius.

Remember that the radius is equal to half of the diameter.

So the radius of this circle will be equal to half of 14 cm or 7 cm.

So plugging into the formula, we have (π)(7 cm)².

A common mistake is to plug 14 cm into the formula but remember

that we must plug in the radius and not the diameter.

Multiplying, (7 cm)² is equal to (7 cm)(7 cm) or 49 cm².

So we have 49π cm².

So the area of the circle shown here is 49π cm².

Now, remember that π is approximately equal to 22/7 or 3.14 so we

can estimate the area of the circle by plugging in 3.14 for π.

So we have (49)(3.14) which is equal to 153.86 cm².

So the area of the circle is approximately equal to 153.86 cm².

Answer:

33 years, 7 months

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r/n)^(nt)

where Accrued amount (A) is the expected future balance

A = $8000

P = principal; $5000

r = 1.4% = 0.014

t = number of years

n = number of times interest is compounded = 12 for monthly

Therefore

8000 = 5000 (1 + 0.014/12)^(12t)

Therefore

(1.001167)^12t = 8000/5000

(1.001167)^12t = 1.6

finding the log of both sides

12t x log 1.001167 = log 1.6

12t = log 1.6 / log 1.001167

12t = 402.98

t = 402.98/12

t = 33.58

hence time to increase the balance is 33 years, 7 months

Answer:

The aquarium​ hold 60000 ml and in liters is 60 liters

Step-by-step explanation:

Length of aquarium = 40 cm

Breadth of aquarium = 30 cm

Height of aquarium = 50 cm

Volume of tank =[tex]Length \times Breadth \times Height[/tex]

Volume of tank = [tex]40 \times 30 \times 50[/tex]

Volume of tank =[tex]60000 cm^3[/tex]

Now , 1 cubic cm = 1 ml

60000 cubic cm = 60000 ml

Now 1000 ml = 1 l

60000 ml = [tex]\frac{60000}{1000}=60 liters[/tex]

So,  the aquarium​ hold 60000 ml and in liters is 60 liters

Answer:

(6,0)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

correct on edg :)

Answer:

∛(3b)^4

Step-by-step explanation:

Note that the square root of 36 is 6; in other words, 6^2 = 36.

So (√36)(5) = 6√5

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex] \overline{LM} [/tex] is the mid segment of [tex] \triangle ABC [/tex]

Answer:

We have to use the summation in this case.

Step-by-step explanation:

total/frequency=mean

frequency= 2 + 8 + 4 + 10 + 6=30

0*2=0

1*8=8

2*4=8

3*10=30

4*6=24

total= 70

70/30= 7/3= 2.33333... ≈ 2 (goals cannot be in decimals!)

This should be the answer, I hope.

Answer:

Step-by-step explanation:

1.Wound wash

2.It helps wounds

3a.to the materals

3b.to tell whats in the product.

Answer:

16

Step-by-step explanation:

The area of a triangle is b*h/2

4*8/2

=16

The word "less than" switches the order around.

So instead of 8 - 7n = 6, our equation is 7n - 8 = 6.

Solving from here, we add 8 to both sides to get 7n = 14.

Now divide both sides by 7 to get n = 2.

Answer:

The number is 2

Step-by-step explanation:

The fastest way to solve this it to retrace the steps. So.....

(7)(x)-8=6

6+8=14

14/7=2

Thus, 2 is your answer.

Answer:

Where is the answers, they might help.

Answer:

Any number multiplied by 0 is 0

Step-by-step explanation:

imagine math answer.

Answer:500 people

Step-by-step explanation:  

70% = 0.70  

.70x = 350

x = 350/.70

x = 500