What is the wavelength of light with 5.53 x 10-19 J of energy? (The speed of
light in a vacuum is 3.00 x 10 m/s, and Planck's constant is 6.626 10-34
J•s.)
A. 399 nm
B. 278 nm
C. 250 nm
D. 359 nm

Answer:

x-4y=2 can be written as y=(x-2)/4

(2,0) when x=2, y=0 and (6,1) when x=6, y=1

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Answer:

  D. 72 heads in 100 flips

Step-by-step explanation:

A probability calculator will tell you the probabilities of the given outcome with a fair coin are ...

  A: 0.0625

  B: 0.04395

  C: 0.15498

  D: 3.9×10^-6

__

It is "improbable" that a fair coin will give 72 heads in 100 flips. So, it is reasonable to assume the coin is not fair if that is the result.

Answer:

Answer is 20.4 .........

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

2(3x - 7) = 16

Step 2: Solve for x

Answer:

X=5

Step-by-step explanation:

divide by 2 on both sides first then you have

3x-7 = 8

take 7 to the other side so that you have an X factor on one side, thus

3x =15

then divide by 3 to remain with X

X = 5

Answer:

Step-by-step explanation:

Answer:

15/8

Step-by-step explanation:

one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.

Answer:

3/2 or 1.5

Step-by-step explanation:

Hey there!

[tex]\huge\boxed{\mathsf{1\dfrac{1}{2}}}}\\\huge\boxed{\mathsf{\rightarrow \dfrac{1\times1+2}{2}}}\\\\\\\huge\boxed{{1\times1+2}}\\\huge\boxed{= 1+2}\\\huge\boxed{=3}\\\\\\\huge\boxed{\rightarrow \mathsf{\dfrac{3}{2}}}\\\\\\\huge\boxed{\textsf{Answer: }\bf \dfrac{3}{2}}\huge\checkmark\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Answer:

13.41

Step-by-step explanation:

You are so welcomed

The measure of each of the remaining angles in the right angle triangle is 45 degrees.

To find the measure of the remaining angles in the triangle, we can use the fact that the sum of the angles in any triangle is always 180 degrees. Since we know one angle is 90 degrees, we can find the measure of the other two angles by subtracting 90 from 180.

Let's call the remaining two angles A and B. Thus, we have:

Angle A + Angle B + 90 degrees = 180 degrees.

Rearranging the equation, we get:

Angle A + Angle B = 90 degrees.

Since the two sides of the triangle adjacent to the right angle are equal (given as 9 and 9), we can conclude that the remaining two angles are congruent (equal). Let's call the measure of each of these angles x.

Therefore, we have:

x + x = 90 degrees.

Simplifying, we get:

2x = 90 degrees.

Dividing both sides by 2, we find:

x = 45 degrees.

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Answer:

It's How much did you spend at the movies today?

Step-by-step explanation:

The question can the manager asks "How much did you spend at the movies today?". Then the correct option is C.

A discrete quantitative parameter has a clear mathematical explanation but could only take certain integer values (instead of every value in intervals).

The manager of a movie theater is standing outside the theater complex one evening.

He will be asking the moviegoers questions.

Then the questions can the manager ask that will result in discrete quantitative data will be

How much did you spend at the movies today?

The question can the manager asks "How much did you spend at the movies today?"

Then the correct option is C.

More about the discrete quantitative data link is given below.

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Answer:

8:15

Step-by-step explanation:

Answer:

g − 1 ( x ) =  x/ 5 +  2

Step-by-step explanation:

See the pic for solutions :)

Answer:

50,000

Step-by-step explanation:

The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.

I hope this helps!

Answer:

(1). A = 18 cm² ; (2). TR = 18 units

Step-by-step explanation:

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Answer:

  C  v = √(2KE/m)

Step-by-step explanation:

Solve for v.

  [tex]KE=\dfrac{1}{2}mv^2\qquad\text{given}\\\\\dfrac{2KE}{m}=v^2\qquad\text{multiply by $\dfrac{2}{m}$}\\\\\boxed{v=\sqrt{\dfrac{2KE}{m}}}\qquad\text{take the square root}[/tex]

Answer:

(x + 4)² + (y + 10)² = 9

Step-by-step explanation:

The standard equation of a circle is written as seen below

(x - h)² + (y - k)² = r²

Where (h,k) is at the center and r is the radius

We want to find the standard equation of a circle that has a radius of 3 and a center at (-4,-10)

Remember r = radius so r = 3

and (h,k) is at center so h = -4 and k = -10

Now to find the standard equation of the circle we simply plug in the values of the variables (h,k and r) into the standard equation of a circle formula.

Equation of a circle: (x - h)² + (y - k)² = r²

r = 3, h = -4 and k = -10

Plug in values

(x - (-4))² + (y - (-10))² = 3²

Simplify

(x + 4)² + (y + 10)² = 9

And we are done!

Answer:

√3/3

Step-by-step explanation:

To obtain Tan θ ;

From trigonometry, tan θ = sin θ / cosθ

Given the paired value : (√3/2, 1/2)

The (cosine, sine ) pair ;

Tan θ = sin (1/2) / cos (√3/2)

Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3

Tan θ = 1 / √3

Rationlaizing the denominator :

1/√3 * √3/ √3 = √3/√9 = √3/3

Answer:

x=3/2,1

Step-by-step explanation:Given

(3x-2)ˆ5-(3x-2)ˆ2=0

(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0

(3x-2)ˆ2{(3x-2)ˆ3-1}=0

(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0

3x-2=0 Or(3x-2)ˆ3=1

x=3/2 Or 3x-2=1, x=1

Answer:

√x-x-2x³+√x+x

= 2√x-2x³

= -2x³+2√x

which is option A

The economic order quantity is 300 cases of tennis balls.

The economic order quantity (EOQ) is the minimum quantity that the distributor can order per order to minimize inventory costs.

Data and Calculations:

Sales of tennis balls for the coming year = 10,000 units

Carrying (holding) costs per case = $10

Cost of placing orders with the manufacturer = $45 per order

Economic Order Quantity (EOQ) = square root of (2 * Annual Demand/Sales * Ordering cost)/Carrying cost per case

= square root of (2 * 10,000 * $45)/$10

= square root of 90,000

= 300 cases of tennis balls

This implies that the distributor will place about 33 orders (10,000/300) in the coming year.  With each order, the quantity placed is 300 units.

Thus, the economic order quantity that will minimize the California distributor's inventory costs for the year is 300 cases of tennis balls.

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Answer:

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Step-by-step explanation:

Average rate of change:

The average rate of a function f(x) in an interval [a,b] is given by:

[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]

In this question:

[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]

What is the average rate of change of Demand between 40 and 175 units sold?

[tex]a = 40, b = 175[/tex]. So

[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]

[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]

So

[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]

The average rate of change of Demand between 40 and 175 units sold is of -0.1045.

Answer:

43

Step-by-step explanation:

1 , 4 , 7 , 10

→ Find the difference between each term

4 - 1 = 3, 7 - 4 = 3 and 10 - 7 = 3

→ Put this into the nth term format

3n + x

→ Write the 3 times tables above the sequence and find what you need to take away from the times tables to get to the sequence

3 , 6 , 9 , 12

1 , 4 , 7 , 10

→ Minus 2

3n - 2

→ Substitute 15 as n

3 × 15 - 2 = 43

5

Answer:

1050

Step-by-step explanation:

Natural Numbers are positive whole numbers. They aren't negative, decimals, fractions. We can just divide 5 into 100 to find how many natural numbers go up to 100 and just add them but that is just to much.

There is a easier method.

E.g: Natural Numbers that are divisible by a Nth Number. is the same as adding the Nth Numbers to a multiple of that Nth Term. For example, let say we need to find numbers divisible by 2. We know that 4 is divisible by 2 because 4/2=2. We can add the Nth numbers which is 2 to 4. 4+2=6. And 6 is divisible by 2 because 6/2=3. We can call this a arithmetic series. A series which has a pattern of adding a common difference

Back to the problem, we can use the sum of arithmetic series formula,

[tex]y = x( \frac{z {}^{1} + {z}^{n} }{2} )[/tex]

Where x is the number of terms in our sequence. Z1 is the fist term of our series. ZN is our last term. And y is the sum of all of the terms

The first term is 5, the numbers of terms being added is 20 because 100/5=20. The last term is 100.

[tex]y = 20( \frac{5 + 100}{2} )[/tex]

[tex]y = 20( \frac{105}{2} )[/tex]

[tex]y = 1050[/tex]

Points are

[tex]\boxed{\sf Slope(m)=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{3-13}{-2+2}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-10}{0}[/tex]

[tex]\\ \sf\longmapsto m=0[/tex]

Answer:

60%

Step-by-step explanation:

1200/2000=.6 or 60%

60%of calories were from carbohydrates.

a relative value that represents one tenth of any amount. One percent (symbolized as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified. percentage. Percentile in mathematics is a related topic.

Given

1200/2000=.6 or 60%

Hence, 60%of calories were from carbohydrates.

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Answer:

  5. (a) Polygon Angle-Sum Theorem

  6. (c) 360°

Step-by-step explanation:

5. The sum of the angles is shown as 540°. The theorem that tells you the sum of angles in an n-gon is the "polygon angle sum theorem."

__

6. The sum of exterior angles around any (convex) polygon is 360°. (This is where the angle-sum theorem comes from.)

Answer:

20

that's grbrhrhbrhshsheheehebbebdbshwjwwmkwkw

Answer:

197 yards per game

Step-by-step explanation:

divide both values by 4 and subtract the value of the losing team from the value of the winning team to get your answer.

Answer:

The expectation for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is:

Ev = x₁*p₁ + ... + xₙ*pₙ

There are 500 tickets sold.

1 of these, wins $3,000  (this is the event x₁)

4 of these, wins $100     (this is the event x₂)

2 of these, wins $75        (this is the event x₃)

The others do not have a prize.

So the probability of winning the $3000 is equal to the quotient between the number of tickets with that prize (1) and the total number of tickets (500)

p₁ = 1/500

Similarly, the probability of winning $100 will be:

p₂ = 4/500

And for the $75 prize:

p₃ = 2/500

Then the probability of not winning is:

p₄ = 493/500

Then the expected value for a single ticket is:

Ev = $0*493/500 + $75*2/500 + $100*4/500 + $3000*1/500

Ev = $7.1

If you take in account that you pay $50 for the ticket, the actual expectation should be:

E = $7.10 - $50 = -$42.90