In a demonstration of the photoelectric effect, suppose that a minimum energy of 4.0×10−19 J (2.5 eV ) is required to dislodge an electron from a metal surface. What is the minimum frequency (and longest wavelength) of radiation for which the detector registers a response?

The area of the rectangle in the form of a polynomial is 40(x² + 6x + 5). If the width is 160 ft, then the area of the rectangle is 57,600 square ft.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If the length and width of the rectangle are (10x + 10) and (4x + 20). Then the area of the rectangle will be

Area = (10x + 10)(4x + 20)

Area = 40x² + 200x + 40x + 200

Area = 40x² + 240x + 200

Area = 40(x² + 6x + 5)

If the width is 160 feet then the value of x will be

4x + 20 = 160

       4x = 140

         x = 35

Then the area of the rectangle will be

Area = 40(35² + 6 × 35 + 5)

Area = 40(1225 + 210 + 5)

Area = 40 (1440)

Area = 57,600 square ft

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Answer:

7.62×10^-5

Step-by-step explanation:

Answer: 0.000076

Step-by-step explanation:
8.41(10^-5) - 7.9(10^10-6)
= 8.41 (1/100000) - 7.9(10^-6)

= 0.000084 - 7.9(10^-6)
= 0.000084 - 7.9(1/000000)

= 0.000084 - 0.000008

= 0.000076

Answer:

The answer is x= \(\frac{9+\sqrt{69}}{2}\), x= \(\frac{9-\sqrt{69}}{2}\)

Step-by-step explanation:

x^2=a

-9x=b

3=c

Plug into formula.

Equation: \(\frac{9+-\sqrt{(-9)^2-4(1)(3)}}{2}\)

Simplify the equation.

Equation: \(\frac{9+-\sqrt{81-12}}{2}\)

Subtract 81 and 12.

Equation: \(\frac{9+-\sqrt{69}}{2}\)

Spit into two equations

Equation 1: \(\frac{9+\sqrt{69}}{2}\)

Equation 2: \(\frac{9-\sqrt{69}}{2}\)

Hope this helps!

Answer:

Solution given:

12+3v=27

3v=27-12

3v=15

v=\(\frac{15}{3}=5\)

v=5

12 + 3v = 27

⇛ 3x = 27 – 12

⇛ 3x = 15

⇛ x = 15/3

⇛ x = 5

Answer:

5:10

or if they prefer it simplified 1:2

Step-by-step explanation:

It asks to write the number of cherry pies sold(5) to the number of apple pies sold (10).

Exactly how it is written is how it should be answered (5:10)

Now if they ask for it to be simplified, we know that five goes into 5 once and twice into 10 thus giving the expression 1:2

Answer: Yes you did!

Step-by-step explanation:

If If the point (-1,3) lies on the graph of an odd function f(x) then the points (-3,1), (3,-1), (1,-3), and (3,1) must also lie on the graph of f(x).

Given that  f(x) is an odd function.

The point (-1,3) lies on the graph of an odd function f(x), we have to find other points lie on the graph.

Since f(x) is an odd function, the graph is symmetric about the origin. Therefore, if the point (-1,3) lies on the graph of f(x), the points (-3,1), (3,-1), (1,-3), and (3,1) must also lie on the graph of f(x).

Hence,  if the point (-1,3) lies on the graph of f(x), the points (-3,1), (3,-1), (1,-3), and (3,1) must also lie on the graph of f(x).

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Answer:

Slope is 1/5

Step-by-step explanation:

m = (y2 - y1)/ (x2 - x1)

m = (3-4)/(-2-3)

m = (-1)/(-5)

m = 1/5

Answer: The answer is D, unless I am extremely dumb

Step-by-step explanation: The x is going by 2 so, the next would be 11, and the y is going by one so the next would be 19.

Answer:

The explicit formula for the geometric sequence is \(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\).

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

\(c(n) = c_{1}\cdot r^{n-1}\), \(n \ge 1\) (1)

Where:

\(c_{1}\) - First term.

\(r\) - Geometric rate.

\(n\) - Position of the element within the series.

If we know that \(c_{1} = -40\) and \(r = \frac{1}{2}\), then the explicit formula for the geometric sequence is:

\(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\)

The explicit formula for the geometric sequence is \(c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}\).

The probability of getting 2 tails is option (b) 37.5%

The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.

Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:

P(htt) = 1/2 × 1/2 × 1/2 = 1/8

P(tht) = 1/2 × 1/2 × 1/2 = 1/8

P(tth) = 1/2 × 1/2 × 1/2 = 1/8

So, the probability of getting 2 tails is:

P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8

= 0.375

0.375 multiplied by 100% gives:

P(2 tails) = 37.5%

Therefore, the correct option is (b) 37.5%

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Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

Answer:

x=39.76693372

Step-by-step explanation:

Subtract 2187 from 3.

54.92x−2184=0

Add 2184

to both sides of the equation.

54.92x=2184

Divide each term by 54.92

and simplify.

x=39.76693372

Answer:

so sorry i needed the points to ask my question.

Step-by-step explanation:

30 Students I hope it helps.

Answer:

The last one is incorrect

Step-by-step explanation:

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

\( {7²}^{3x} = {7³}^{(2x + 1)} \)

Now, performing the multiplication of both exponents on both sides of the equation

\( {7}^{6x} = {7}^{(6x + 3)} \)

As the bases are equal, hence will be the exponents.

6x = 6x + 3

6x is common on both sides and hence x will not exist. Thus, no solution is possible.

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The correct question is -

Solve: \( {49}^{3x} = {343}^{(2x + 1)} \). a. x = –3 b. x = 1 c. x = 3 d. no solution

Answer:

It's D, No solution.

Step-by-step explanation:

I did the assignment.

Answer:

They are equilateral ever.

Answer:

1x + 4y = 4 ⇒ 6x + 24y = 24

6x -  8y = 0 ⇒ 6x -   8y = 0  

                              32y = 24

                               32     32

                                  y = 3/4

                    x + 4(3/4) = 4

                           x + 3 = 4

                               -3   -3

                                x = 1

                           (x, y) = (1, 3/4)

Step-by-step explanation:

up there :D

Answer:

x=7 y=3

Step-by-step explanation:

-x+6y=11

2x-3y=5

-2x+12y=22

2x-3y=5

Add both equations

-2x+2x-3y+12=22+5

9y=27

y=3

plug y back in

-x+18=11

-x=-7

x=7

Answer:

(x+2)(3x+2)(3x−2)

For this problem we know that David worked 7 173 hours today and planted 11 trees. And we want to find How long did it take him to plant each tree?

So we can set up the following equation:

And solving for x we got:

It took him 1.5 hour to plant each tree.

​

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The inverse of the expression +9 is -9.

Expression in math is defined as  any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Here we have the expression +9 and we need to find the inverse for it.

As we all know that the term inverse in math is known as a function or operation which reverses the order or operation of another function or operation

Based on the definition, the given expression is written as,

=> +9

Now, the inverse of the expression is written as in the negative form such that,

=> -9

Therefore, the resulting value is -9.

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The equation that can be used to determine the number of minutes t, from now and height, ℎ (in feet), at which they will pass each other is 75t = h.

The time taken for them to pass each other is calculated as follows;

Apply the rules of relative velocity;

(V₂ - V₁)t = h

where;

(30 ft/min - ( -45 ft/min )t = h

75t = h

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Step-by-step explanation:

a =

\( \frac{1}{6} \)

Answer:

A) -1

Step-by-step explanation:

\( \dfrac{i^{2n - 3} \times i^{3n - 1}}{i^{5n - 2}} = \)

\( = i^{2n - 3 + 3n - 1 - (5n - 2)} \)

\( = i^{2n - 3 + 3n - 1 - 5n + 2} \)

\( = i^{-2} \)

\( = \dfrac{1}{i^2} \)

\( = \dfrac{1}{-1} \)

\( = -1 \)

We can pick three different numbers in 161700 ways out of the group 1,2,3, . .. ,100 such that the largest number is larger than the product of the two smaller ones.

It is possible to pick three different numbers out of the group 1,2,3, . .. ,100 such that the largest number is larger than the product of the two smaller ones.

The order in which we pick the numbers does not matter. To calculate how many ways this can be done, we can use the following formula:

Number of ways = (100*99*98)/(3*2*1) = 161700.

Therefore, there are 161700 different ways to pick three different numbers out of the group 1,2,3, . .. ,100 such that the largest number is larger than the product of the two smaller ones.

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Answer:

m perpendicular = − 3 /4

According to the similarity-attraction hypothesis, when two individuals from different cultures perceive a greater similarity between themselves, it is likely that they will experience increased attraction towards each other.

This means that the perception of shared characteristics, values, and beliefs between individuals can lead to a stronger sense of connection and positive feelings. It is important to note that this hypothesis suggests perceived similarity and attraction, but it does not guarantee the formation of relationships or friendships.

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Answer:

Step-by-step explanation: