Mathematics High School

## Answers

**Answer 1**

StartFraction **4 x + 40** Over **(x + 2) (x + 7)** EndFraction = StartFraction** 8 **Over **x + 2** EndFraction + StartFraction** negative 4** Over x + **6 **EndFraction

What is partial fraction?

**Partial** **fractions **are the fractions used for the **decomposition **of a **rational expression**.

Given:

**(4x + 40)/ (x + 2)(x + 6) = A/(x + 2) + B/(x + 6)**

4x + 40 = A(x + 6) + B(x + 2)

4x + 40 = x(A+B) + 6A +2B

On **comparing**

4= A+B

**A= 4-B**

and, **6A +2B =40**

3A + B =20

3(4-B) + B =20

12 - 3B + B =20

-2B = 8

**B= -4**

and, **A= 8**

Hence, StartFraction **4 x + 40** Over **(x + 2) (x + 7)** EndFraction = StartFraction** 8 **Over **x + 2** EndFraction + StartFraction** negative 4** Over x + **6 **EndFraction

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**Answer 2**

**Answer:**

C.

**Step-by-step explanation:**

photo below

## Related Questions

Help me pls my mom wants me to finish soon

### Answers

**Answer:**

B

**Step-by-step explanation:**

If you need two answers it’s D and B

A grocery store sells 1 gallon containers of milk for 3.99. The store also sells orange juice in a 6 pack of 5.5 fluid ounce bottles for $1.79. Suppose the store wants to sell its orange juice in gallon containers instead. To the nearest dollar, how much more would a gallon of orange juice cost than a gallon of milk?

### Answers

The a **gallon **of **orange juice** will **cost **$ 3.0 more than a gallon of milk.

**Size of the orange juice**

The size of the **orange juice** in **gallon **is calculated as follows;

1 ounce = 0.0078125 gal

5.5 ounce = ?

= 0.043 gallon

Total volume of 6 pack = 6 x 0.043 gal = 0.258 gal

0.258 gal = $1.79

1 gal = ?

= $ 6.94

Difference between cost of gallon of milk and orange juice

= $ 6.94 - $ 3.99

= $2.95

≈ $ 3.0

Thus, the a **gallon **of **orange juice** will **cost **$ 3.0 more than a gallon of milk.

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What times itself gets 2230

### Answers

There's no "whole" number that gets exactly to 2230 (but the question that you are asking is the square root of 2230 I believe) but the answer would essentially be about 47.22.

1. Try It #1

If f(x) is a linear function, and (2,3) and (0,4) are points on the line, find the slope. Is this function increasing or decreasing?

### Answers

**Answer:**

The slope of the line representing the linear function f(x) is determined as [tex]$-\frac{1}{2}$[/tex]. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.

**Step-by-step explanation:**

A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).

It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.

Step 1 of 1

Determine the slope of the line.

The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]

So, substitute [tex]$4 \& 3$[/tex] for [tex]$y_{2}$[/tex] and [tex]$y_{1}$[/tex] respectively, and [tex]$0 \& 2$[/tex] for [tex]$x_{2}$[/tex] and [tex]$x_{1}$[/tex] respectively in the above formula. Then simplify to get the slope as follows,[tex]$m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$[/tex]

The slope of the line is obtained as [tex]$-\frac{1}{2}$[/tex]. Now, as [tex]$-\frac{1}{2} < 0$[/tex], so the function f(x) is decreasing.

i need help with this one

### Answers

**Answer:**

horizontal asymptote of y = -7

**Step-by-step explanation:**

The parent function is shown on the coordinate plane. The graph of the parent function has a horizontal asymptote (an imaginary line that the graph approaches, but never touches or intersects) of y = 0.

Since the function of g(x) = e^x - 7 is the graph of the parent function translated 7 units down, the function would have a horizontal asymptote of y = -7.

30-60-90 Angle Triangle- Geometry

### Answers

**Answer:**

perimeter = 42 units

**Step-by-step explanation:**

The question is on the picture:)

### Answers

**Answer: 90 degrees**

**Step-by-step explanation:**

An angle inscribed in a semicircle measures 90 degrees.

Consider the function.

Match each transformation of f(x) with its description.

stretches f(x) by a factor

of 4 away from the x-axis

shifts f(x) 4 units down

shifts f(x) 4 units right

compresses f(x) by a factor

of toward the y-axis

### Answers

The correct options are:

a) g(x) = 8*x - 6

b) g(x) = 2x - 10

c) g(x) = 2x - 14

d) g(x) = 8x - 24

**How to identify each transformation?**

Here we have the** function:**

f(x) = 2x - 6

The proposed transformations are:

a) **Stretch **by a factor of 4 along the x-axis.

A** horizontal stretch** of** scale factor **k is written as:

g(x) = f(x*k).

Then, in this case, we have:

g(x) = 2(x*4) - 6 = 8*x - 6

b) **Shift **f(x) 4 units down.

A **vertical shift **of N units is written as:

g(x) = f(x) + N

A shift of 4 units down is written as:

g(x) = f(x) - 4 = 2x - 6 - 4 = 2x - 10

c) Shift f(x) 4 units right.

An **horizontal shift** of N units is written as:

g(x) = f(x + N).

For a shift of 4 units to the right, we write:

g(x) = f(x - 4) = 2(x - 4) - 6 = 2x - 8 - 6 = 2x - 14

d) A **vertical compression **of **scale factor** 1/4.

A **vertical compression** of scale factor K is written as:

g(x) = f(x)/K

In this case, we will have:

g(x) = f(x)/(1/4) = 4*f(x) = 4*(2x - 6) = 8x - 24

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What is the domain of the function y= 2√x-6?

0-00O 0O 3O 6≤x<∞

### Answers

Given f(x)=2−∣x−5∣

Domain of f(x) is defined for all real values of x.

Since, ∣x−5∣≥0⟹−∣x−5∣≤0

⟹2−∣x−5∣≤2⟹f(x)≤2

Hence, range of f(x) is (−∞,2].

The **domain** of the **function** y= 2√x-6 is [6, ∞).

What is a function?

A relation is a function if it has only One y-value for each x-value.

In the given function, we have a square root of x-6 which means that the value inside the **square** **root** must be non-negative, otherwise the function will not be real.

Therefore, we have x - 6 ≥ 0

**Adding** 6 to both sides, we get:

x ≥ 6

So, the domain of the function y = 2√(x-6) is all real numbers **greater** than or equal to 6.

In interval notation, we can write the **domain** as:

Domain: [6, ∞)

Hence, the **domain** of the function y= 2√x-6 is [6, ∞).

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Which interval is the solution set to 0.35x – 4.8 < 5.2 – 0.9x? (–[infinity], –8) (–[infinity], 8) (–8, [infinity]) (8, [infinity])

### Answers

**(-∞,8) **is interval is the solution to set 0.35x – 4.8 < 5.2 – 0.9x.

How to solve the inequality?

0.35x - 4.8 < 5.2 - 0.9x

**Adding 0.9x **to both sides of equation.

0.35x - 4.8 + 0.9x < 5.2 - 0.9x + 0.9x

1.25x - 4.8 < 5.2

**Adding 4.8** to both sides of equation.

1.25x - 4.8 + 4.8< 5.2 + 4.8

1.25x < 10

**Dividing** both sides of equation by 1.25

x < [tex]\frac{10}{1.25}[/tex]

Hence **x < 8**

Thus, **(-∞,8)** interval is the solution to given set 0.35x – 4.8 < 5.2 – 0.9x.

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what is y= (x+2) ^2 vertex, axis of symmetry, direction of opening, max or min and y intercept

### Answers

**Answer:**

Vertex: (-2, 0)

Axis of symmetry: x = -2

Direction of opening: Upwards

Min: 0

Y-intercept: 4

**Step-by-step explanation:**

Let us **graph **this line, and then pull out the **details **we need. *See attached*.

What do all of these different things mean?

Vertex: This is where the **graph intercepts **the **axis **of **symmetry **(x = -2, see below) and is at point (-2, 0) for this graph.

Axis of Symmetry: This is the line that the **graph **is **symmetrical **across. The "center" of the graph. Here, it is x = -2.

Direction of Opening: The **direction **that the **graph **is going/opening **towards**. In this case, it is upwards.

Min: The **minimum **(in this case) value, the lowest y-coordinate. This is 0 here.

Y-intercept: The point at which the **line intercepts** the **y-axis**. This is 4 here.

take a deck of playing cards form following sets out of those

A=Set of playing cards

B=SET OF RED COLOURED FACE CARD

### Answers

The information given about the **probability** shows that the **cardinality** of D is 18.

How to calculate the probability?

From the complete information, the **number** of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The **cardinality **of a set is a measure of a set's **size**, meaning the number of elements in the set.

Here, the **cardinality** of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

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Using the Addition Method, solve for x in the following system of linear equations.

2y + x = 4

y – 3x = 2

a.)

x = 1

b.)

x = 2

c.)

x = 8

d.)

x = 0

### Answers

**Answer:**

x = 0

**Step-by-step explanation:**

if 2y + x = 4

we can assume that y = 2

if y - 3x = 2

it means 2 - 0 = 2

therefore x = 0

On a coordinate plane, 2 lines are shown. Line P Q has points (negative 5, 3) and (5, 1). Line R S has points (negative 4, negative 2) and (0, negative 4).

Which statement best explains the relationship between lines PQ and RS?

They are parallel because their slopes are equal.

They are parallel because their slopes are negative reciprocals.

They are not parallel because their slopes are not equal.

They are not parallel because their slopes are negative reciprocals.

### Answers

Considering the **slope **of the lines, their **relationship **is given as follows:

They are not parallel because their slopes are not equal.

When are lines parallel, perpendicular or neither?

The **slope**, given by change in y divided by change in x, determines if the lines are **parallel**, **perpendicular**, or **neither**, as follows:

If they are **equal**, the lines are **parallel**.If their **multiplication **is of -1, they are **perpendicular**.Otherwise, they are **neither**.

In this problem, their **slopes **are given as follows:

mPQ = (1 - 3)/(5 - (-5)) = 3/10.mRS = (-4 - (-2))/(0 - (-4)) = -1/2.

Different slopes, multiplication different of -1, hence the **correct option** is given by:

They are not parallel because their slopes are not equal.

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**Answer:**

C. They are not parallel because their slopes are not equal.

21. Write an equation in point-slope form for the line through the given point with the given slope.

3

(4, -6);m=3/5

### Answers

**Answer:**

y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)

**Step-by-step explanation:**

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = [tex]\frac{3}{5}[/tex] and (a, b ) = (4, - 6 ) , then

y - (- 6) = [tex]\frac{3}{5}[/tex] (x - 4) , that is

y + 6 = [tex]\frac{3}{5}[/tex] (x - 4)

PLEASE HELP FAST!

Find the value of the equation shown, I believe that is the cube root of 25

### Answers

An **expression **is defined as a set of **numbers**, variables, and **mathematical **operations. The **value **of** (3√x + 7)**, when the **value** of x is 25 is 22.

What is an Expression?

In mathematics, an **expression **is defined as a set of **numbers**, variables, and **mathematical **operations formed **according **to rules **dependent** on the **context. **

The **value **of** (3√x + 7)**, when the **value** of x is 25 is,

3√x + 7

= 3√25 + 7

= 3(5) + 7

= 22

Hence, The **value **of** (3√x + 7)**, when the **value** of x is 25 is 22.

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Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.

How much more soda did Kari drink than Aisha?

Write your answer as a fraction or as a whole or mixed number.

bottles

### Answers

**Answer:**

4/6= 2/3

**Step-by-step explanation:**

5/6 - 1/6 = 4/6

lowest form : 2/3

**Answer:**

Hello! The answer to your question is **2/3**.

**Step-by-step explanation:**

In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:

[tex]\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}[/tex]

4/6 can be simplified by dividing the numerator and denominator by 2:

4/2 = 2

6/2 = 3

Therefore, your answer is:

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

4(x + 4) + 6

Simplify algebraic expressions

### Answers

**Answer:**

4x+22

**Step-by-step explanation:**

distribute 4(x+4)

it would become 4x+16+6

16+6 = 22

4x+22

PLEASE HELP

Which linear equation can be derived from this proportion?

12/( x + 8 ) = 7/( x + 1 )

A.

12x + 8 = 7x + 1

B.

12x + 12 = 7x + 56

C.

12x + 1 = 7x + 8

D.

12x + 96 = 7x + 7

### Answers

Cross multiply to get

7(x+8)=12(x+1)

7x+56=12x+12

Therefore your answer is B

Hope this helped :)

**Answer:**

B. 12x + 12 = 7x + 56

**Explanation:**

[tex]Given : \ \sf \dfrac{12}{ x +8} = \dfrac{7}{x + 1}[/tex]

cross multiply formula: if [tex]\sf \dfrac{a}{b} = \dfrac{c}{d}[/tex] then [tex]\sf ad = cb[/tex]

[tex]\sf 12(x +1) = 7(x + 8)[/tex]

distribute inside parenthesis

[tex]\sf 12x + 12= 7x + 56[/tex]

collect like terms

[tex]\sf 12x -7x = 56 - 12[/tex]

simplify the following

[tex]\sf 5x = 44[/tex]

dividing both sides by 5

[tex]\sf x = 8.8[/tex]

A group of marketing students at a large university wants to determine the proportion of first year students who use certain types of social media. The students want their estimate to be within 0.03 of the true proportion with a 95% level of confidence. Two years ago, a similar study determined the proportion to be 0.796. How large of a sample is required

### Answers

The required **sample size **is 694.

Given a student wants to make a guess within 0.03 of the **true ratio** with a 95% **confidence level**.

**Margin of Error,** E = 0.03

**significance level** α=0.05 {95% confidence}

A **given estimate** of the **percentage of population** p is p = 0.79.

The **critical value** for the significance level α = 0.05 is Zc = 1.96. This can be determined using either **Excel or a normal probability table**.

Use the following **formula** to calculate the **minimum sample size** required to estimate the percentage of population p within the required margin of error.

n≥p(1-p)(Zc÷E)²

n=0.796×(1-0.796)(1.96÷0.03)²

n=693.1016

Therefore, the re**sample size**quired to meet the condition is n ≥ 693.1016 and must be an **integer**. From this, we conclude that the **minimum sample size** required is n = 694.

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What is the surface area of the composite figure?

### Answers

**Answer: 1226**

**Step-by-step explanation:**

A fish tank with a rectangular base has a volume of 3360 cubic inches. the length of the tank is 14 inches and the width is 12 inches. the height of the tank is 20 inches. if one fluid ounce is 1.8 cubic inches how much water will the tank hold ? your answer should be in gallons.

### Answers

**Answer:**

14.58 gallons

**Step-by-step explanation:**

The tank volume is 3360 in^3, which is the product of the base x length x height (14)(12)(29) = 3360 in^3.

We are given a conversion factor: 1 fluid oz = 1.8 in^3

We can write this as (1 fluid oz)/( 1.8 in^3).

Use this conversion factor to confert volume to fluid oz:

(3360 in^3)*((1 fluid oz)/( 1.8 in^3)) = 1867 fluid oz

There are 128 fluid oz/gallon. Make this into a conversion factor:

(1 gallon/128 fluid oz) [The conversion factor can be written with oz or gallon on the top - it makes no difference since the two values are equal to each other]

(1867 fluid oz)*((1 gallon/128 fluid oz) = 14.58 gallons

water the tank will hold ** = 14.583 gallons**

**What is cuboid ?**A cuboid is a **three-dimensional** or solid shape. A cuboid is a convex polyhedron that has six rectangular faces, eight vertices, and twelve edges. Another name for a cuboid is a** rectangular prism**. A cube is a cuboid with six square faces. The basic formula for the area of a rectangular shape is length × width, the basic formula for volume is **length × width × height.**

**Given : ** A fish tank has a volume = 3360 cubic Inches.

The length of the tank is =14 inches

the width is = 12 inches.

The height of the tank is = 20 inches.

If one fluid ounce is = 1.8 cubic inches

**Volume of tank **= 14 * 12 * 20 = 3360 cubic inches

1.8 cubic inches = one fluid ounce

3360 cubic inches = 3360/1.8 fluid ounce

= 5600/3 fluid ounce

As we know,

** 1 gallons = 128 fluid ounces**

water the tank will hold =( 5600/3 ) / 128

= 175 / 1 = 14.583 gallons

Therefore, water the tank will hold **= 14.583 gallons**

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SOMEONE PLEASE HELP ME ANSWER THIS I PROMISE ITS EASY

### Answers

Answer:

x = 1 19/21 the one is in front of the 19/21

Step-by-step explanation:

Exact form: x = 40/21

Decimal form: x = 1.90476190

Mixed number form: x = 1 19/21.

**Answer:**

Let's solve your equation step-by-step.

[tex]\tt{ 14 = \dfrac{3}{5}\left( 7x + 10 \right) }[/tex]

**Step 1:** Simplify both sides of the equation.

[tex]\tt{ 14 = \dfrac{3}{5}\left( 7x + 10 \right) }[/tex]

[tex]\tt{ 14 = \dfrac{3}{5}(7) + \dfrac{3}{5}(10)}[/tex]

**(Distribute)**

[tex]\tt{ 14 = \dfrac{21}{5} x + 6 }[/tex]

**Step 2:** Flip the equation.

[tex]\tt{ \dfrac{21}{5} x + 6 = 14}[/tex]

**Step 3**: Subtract 6 from both sides.

[tex]\tt{ \dfrac{21}{5} x + 6 - \blue{6} = 14 - \blue{6}}[/tex]

[tex]\tt{ \dfrac{21}{5} = 8}[/tex]

**Step 4:** Multiply both sides by 5/21.

[tex]\tt{ \left( \dfrac{5}{21}\right) \times \left(\dfrac{21}{5}x \right) = \left(\dfrac{5}{21}\right) \times (8)}[/tex]

[tex]\\[/tex]

[tex]\large\tt\purple{ x = \dfrac{40}{21}}[/tex]

━━━━━━━━━━━━━━━━━━━━━

QT=

Help me please thanks:)

### Answers

The** length of QJ is 4√20 units **if the QJ = 4×PQ after using the intersecting chords theorem.

What is a circle?

It is described as a** set **of **points**, where each point is at the same **distance **from a **fixed point **(called the **center **of a **circle**)

**By intersecting chords theorem:**

**QM×QL = QJ×PQ**

10×8 = QJ(QJ/4)

4×80 = QJ²

**QJ = 4√20 units**

Thus, the** length of QJ is 4√20 units **if the QJ = 4×PQ after using the intersecting chords theorem.

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Does this graph show a function? Explain how you know.

• A. Yes; the graph passes the vertical line test.

• B. No; there are y values that have more than one x-value.

• C. No; the graph fails the vertical line test.

• D. Yes; there are no y-values that have more than one x-value.

### Answers

The **graph** doesn't show a function as C. No; the graph fails the **vertical line** test.

What is a graph?

It should be noted that a **graph** is the diagrammatic representation of **data**.

In this case, the **graph** doesn't show a function as the graph fails the **vertical line test.**

The **vertical line** test is a visual way that's uses to determine if the curve is a graph of the function.

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URGENT!! WORTH 27 POINTS

Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem?

a. yes, 1,100 is less than 1,500.

b. no, 1,100 is more than the 400 he burned off at the gym.

c. no, 1,100 will cause him to exceed 1,900.

d. yes, 1,100 is less than 1,900.

### Answers

**Answer:**

**Step-by-step explanation:**

1,500-400=1,100 he has 800 calories left so no if he ate 1,100 more calories he would go over his goal of 1,900 so C is the answer hope this helps

Use the properties of 30-60-90 and 45-45-90 triangles to solve for x in each of the problems below. Then decode the secret message by matching the answer with the corresponding letter/symbol from the exercises.

### Answers

The **trigonometric **function gives the ratio of different sides of a right-angle triangle. The given **problems **can be solved as **given **below.

What are Trigonometric functions?

The **trigonometric **function gives the ratio of different sides of a right-**angle triangle.**

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]

where **perpendicular **is the side of the **triangle **which is **opposite **to the angle, and the **hypotenuse **is the longest side of the **triangle** which is opposite to the **90° angle.**

1st.) x = 5 /Sin(30°)

x = 10

!) sin(45°) = 4/x

x = 4/sin(45°)

x = 4√2

I) Cos(45°) = √3 / x

x = √3 / Cos(45°)

x = √6

E) Tan(60°) = 3√3 / x

x = 3√3 / 3

W) For **isosceles right-triangle**, the angle made by the legs and the hypotenuse is always 45°.

x = 45°

N) x² + x² = (7√2)²

x = 7

V) Tan(60°) = 7 / x

x = 7√3/3

K) x² + x² = (9)²

x = 9/√2

Y) Sin(60°) = 7√3/x

x = 14

M) Sin(30°) = x/11

x = 11/2

T) Sin(45°) = x/√10

x = √5

A) x + 2x + 90° = 180°

x = 30°

O) Sin(45°) = √2 / x

x = 2

R) Tan(30°) = x / 4

x = 4/√3 = 4√3 / 3

S) Sin(60°) = x / (10/3)

x = 5√3 / 3

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Question 9 Eight wooden spheres with radii of 3 inches are packed snuggly into a cube-shaped box 12 inches on one side. The remaining space is filled with packing beads. What is the volume occupied by the packing beads

### Answers

Answer is 823.2 cu.in.

Reason

For the sphere

We know V=4/3 TT r^3

Radius is 3

V=4/3 (3.14) 3^3

V= 4/3 (3.14) 27

V= 113.1 for each sphere

8 spheres x 113.1 = 904.8 cu.in.

For the cubed shaped box

We know v= length x width x height

V= 12 x 12 x 12

V = 1728 cu.in.

Now we take volume of box and subtract volume of spheres to get space filled by packing beads

1728 - 904.8 = 823.2 cu.in.

For what values of the variable are the following expressions defined?

7a/3+a

**The equation is given below**

**Please Help, include an explanation, and a equation/answer that can be entered on learning websites to answer the question**

### Answers

**Answer:**

The Expression will be defined if the denominator is not equal to 0 since any number divided by 0 is undefined.Therfore our main priority here is to check the denominator only because it's the only part that can make the expression undefined the expression will be defined for all real numbers (a) BUT 3+a must not equal to 0 therfore (a) can be all real numbers but must never be equal to -3

**Step-by-step explanation:**

[tex]a \: is \: an \: element \: of \: all \: real \: numbers \: but \: not \: not \: equal \: to \: -3[/tex]HOPE THIS HELPS!

Help Urgent In a Hurry

1. What is the energy of photon having a frequency of a 4.5 × 106 Hz? (h = 6.6 × 10-34 J s)

2. Calculate the energy of radiation of wavelength of 615 nm (h = 6.6 × 10-34 J s).

3. Calculate the energy of radiation of wavelength of 300 nm (h = 6.6 × 10-34 J s).

4. What is the energy of a photon having a frequency of 4 × 104 Hz? (h = 6.6 × 10-34 J s)

5. A photon has a wavelength of 230 nm. Which of the following represents the energy of the photon?

### Answers

The **energy **of the **photon **in each case is;

1. **2.97 * 10^-27 J**

2. **3.2 * 10^-19 J**

3. **6.6 * 10^-19 J**

4. **2.64 * 10^-29 J**

5. **8.6 * 10^-19 J**

What is the energy of photon?

The **energy of a photon **is obtained form the **Plank's equation**; E = hf

1) E = hf

E = 6.6 × 10^-34 J s * 4.5 × 10^6 Hz

E = **2.97 * 10^-27 J**

2)E = hc/λ

E = 6.6 × 10^-34 J s * 3 * 10^8/615 * 10^-9

E = **3.2 * 10^-19 J**

3) E = hc/λ

E = 6.6 × 10^-34 J s * 3 * 10^8/300 * 10^-9

E = **6.6 * 10^-19 J**

4) E = hf

E = 6.6 × 10^-34 J s * 4 × 10^4 Hz

E = **2.64 * 10^-29 J**

5) E = hc/λ

E = 6.6 × 10^-34 J s * 3 * 10^8/230 * 10^-9

E = **8.6 * 10^-19 J**

Learn more about** energy of a photon**:https://brainly.com/question/2393994

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