Solve for p :
p-4 -136
p=

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

Learn more about wavelength:

brainly.com/question/31143857

#SPJ4

Answer:

Step-by-step explanation:

Here, the region of the triangle with a base 4 cm and a level 3 cm.

That is, the region of a triangle=

1/2 × Base × Level

=1/2 × 4 × 3

=6 sq cm

The region of a square shape with a length 5 cm and a breadth 4 cm

The region of a square shape = Length × breadth

=5 × 4 =20 sq cm

The region of a square shape with a length 4 cm and a width 3 cm

=4 × 3 =12 sq cm

The region of a square with the side 4 cm.

The region of a square = side²=4²=16 sq cm

The absolute surface of the given polyhedron =6 + 6 + 20 + 12 + 16

=60 sq cm

From the above estimation, it is distinguished as a region of the triangle that is determined incorrectly.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

To know more about function visit:-

brainly.com/question/12431044

#SPJ1

The given series can be written as:

sum = sin(2π) = 0

The sum of the infinite series is 0.

To find the sum of the infinite series 1 - (2π/2!)^2/1 + (2π/4!)^2/1 - (2π/6!)^2/1 + ⋯ + (2π)^(2n)/(2n+1)!*(-1)^n + ⋯, we can use the concept of the Taylor series expansion of a function.

The given series resembles the expansion of the sine function, sin(x), where x = 2π. The Taylor series expansion of sin(x) is:

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ⋯ + (-1)^n * x^(2n+1)/(2n+1)! + ⋯

Comparing the given series with the expansion of sin(x), we can see that the terms are similar, except for the factor of (-1)^n.

Therefore, the given series can be written as:

sum = sin(2π) = 0

The sum of the infinite series is 0.

Learn more about series here:

https://brainly.com/question/11346378

#SPJ11

The system of equations that matches the given graph is:

A. 3x - 6y = 12

9x - 18y = 36

To determine which system of equations matches a given graph, we need to analyze the slope and intercepts of the lines in the graph.

Looking at the options provided:

A. 3x - 6y = 12

9x - 18y = 36

B. 3x + 6y = 12

9x + 18y = 36

Let's analyze the equations in each option:

For option A:

The first equation, 3x - 6y = 12, can be rearranged to slope-intercept form: y = (1/2)x - 2.

The second equation, 9x - 18y = 36, can be simplified to 3x - 6y = 12, which is the same as the first equation.

In option A, both equations represent the same line, as they are equivalent. Therefore, option A does not match the given graph.

For option B:

The first equation, 3x + 6y = 12, can be rearranged to slope-intercept form: y = (-1/2)x + 2.

The second equation, 9x + 18y = 36, can be simplified to 3x + 6y = 12, which is the same as the first equation.

In option B, both equations also represent the same line, as they are equivalent. Therefore, option B does not match the given graph.

for such more question on system of equations

https://brainly.com/question/4262258

#SPJ8

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

Learn more about correlation coefficient here:

https://brainly.com/question/29208602

#SPJ11

Answer:

(2,0)

Step-by-step explanation:

Hi, I believe the answer is (2,0). The solution of the two equations are represented by their intersection. By finding that point, at when x is 2, and y 0, you can find the solution. Hope this helps!

You can also find the equations of the lines, then find the solution of them, but that's slower than the previous method.

================================================

Explanation:

Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.

After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.

Use x = 2 to find the value of y

5x+3y = 31

5(2)+3y = 31

10+3y = 31

3y = 31-10

3y = 21

y = 21/3

y = 7

or

2x+3y = 25

2(2)+3y = 25

4+3y = 25

3y = 25-4

3y = 21

y = 21/3

y = 7

Using either equation has x = 2 lead to y = 7.

Therefore, the solution is (x,y) = (2,7)

If you were to graph the two original equations, then they would intersect at (2,7).

We start by finding the first and second derivatives of y = eᵃˣ. Therefore, the values of a that satisfy the equation are a = 1 and a = 3, which is answer choice d

y' = aeᵃˣ
y'' = a²eᵃˣ
Now we substitute these into the given equation and simplify:
y'' = 4y' - 3y
a²eᵃˣ = 4aeᵃˣ - 3eᵃˣ
eᵃˣ(a² - 4a + 3) = 0
Since eᵃˣ is never zero, we must have:
a² - 4a + 3 = 0
(a - 1)(a - 3) = 0
Therefore, the values of a that satisfy the equation are a = 1 and a = 3, which is answer choice d.

To find the values of a for which y = eᵃˣ satisfies the equation y" = 4y' – 3y, follow these steps:
1. Find the first derivative y': Differentiate y = eᵃˣ with respect to x.
  y' = a * eᵃˣ
2. Find the second derivative y": Differentiate y' with respect to x.
  y" = a² * eᵃˣ
3. Substitute y, y', and y" into the given equation: y" = 4y' – 3y
  a² * eᵃˣ = 4(a * eᵃˣ) - 3(eᵃˣ)
4. Factor out eᵃˣ from the equation:
  eᵃˣ (a² - 4a + 3) = 0
Since eᵃˣ is never equal to zero, the quadratic expression inside the parentheses must be equal to zero:
5. Solve the quadratic equation: a² - 4a + 3 = 0
  (a - 1)(a - 3) = 0
6. Find the values of a:
  a = 1 and a = 3
Therefore, the correct answer is option d: a = 1 and a = 3.

Visit here to learn more about derivatives:

brainly.com/question/30365299

#SPJ11

a)  no solution

b) only one solution

c) only one solution

d) infinite many solution.

e)  only one solution

f) no solution

g) infinite many solution.

h)  infinite many solution.

i)  no solution

j) only one solution

k) infinite many solution.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

We know depending upon the types of lines there are different type of solution

if there are two equations

\(a_1 x+ b_1 y+ c_1= 0\) and \(a_2 x+ b_2 y+ c_2= 0\)

For Intersecting Lines

\(a_1/a_2\) ≠ \(b_1/b_2\)

and, have only one solution

For parallel lines:

\(a_1/a_2\) = \(b_1/b_2\) ≠ \(c_1/c_2\)

and, have no solution

For co- incident line

\(a_1/a_2\) = \(b_1/b_2\) = \(c_1/c_2\)

and, have infinite many solution.

a) y= -5x + 4  --> 5x + y = 4

5x+y= -3

So, \(a_1/a_2\) = \(b_1/b_2\) ≠ \(c_1/c_2\)

and, have no solution

b) y=3/4 x+5

y= 4/3 x + 5

so, \(a_1/a_2\) ≠ \(b_1/b_2\)

and, have only one solution

c) y= -3/4x+5

y=3/4x+5

\(a_1/a_2\) ≠ \(b_1/b_2\)

and, have only one solution

d) y= 3/4 x + 5

y= 5+ 3/4x

So, \(a_1/a_2\) = \(b_1/b_2\) = \(c_1/c_2\)

and, have infinite many solution.

e) y= 3/4x +5

y=  x + 2

So, \(a_1/a_2\) ≠ \(b_1/b_2\)

and, have only one solution

f) y= 3/4x + 5

y= 3/4x + 2

So, \(a_1/a_2\) = \(b_1/b_2\) ≠ \(c_1/c_2\)

and, have no solution

g) 6x -y = 5

-6x + y= -5

So, \(a_1/a_2\) = \(b_1/b_2\) = \(c_1/c_2\)

and, have infinite many solution.

h) 2x- y +5 =0

2x- y+ 5 =0

So, \(a_1/a_2\) = \(b_1/b_2\) = \(c_1/c_2\)

and, have infinite many solution.

i) 4x- y+ 5 =0

4x- y +3 = 0

So, \(a_1/a_2\) = \(b_1/b_2\) ≠ \(c_1/c_2\)

and, have no solution

j) 3x- y +5 = 0

2x -y +5 =0

So, \(a_1/a_2\) ≠ \(b_1/b_2\)

and, have only one solution

k) 2x+ y -1 = 0

2x + y- 1= 0

So, \(a_1/a_2\) = \(b_1/b_2\) = \(c_1/c_2\)

and, have infinite many solution.

Learn more about Equation here:

https://brainly.com/question/10413253

#SPJ1

Answer: I have no clue

Step-by-step explanation:

So basicaly what u want to do is guess and pray

Answer:

200

Step-by-step explanation:

0.2 * x = 40

40 / 0.2 = 200

Answer:

\( {y}^{ - 1} = \sqrt{x - 16} \)

Step-by-step explanation:

On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.

The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.

In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Total amount of tea Ray has - 2.671L

Amount of tea Ray poured - 0.47

Therefore,

amount he was left with was  = 2.671- 0.47 = 2.201L

To know more about mathematical operations visit:
https://brainly.com/question/8959976

#SPJ9

The minimum amount of wire mesh needed for the batting cages is 960 square meters.

To calculate the minimum amount of wire mesh needed, we need to determine the surface area of the sides and the top of the cages. Since wire mesh is not needed on the bottom, we only consider the sides and the top.

Each batting cage requires 240 m³ of space, and since we are dealing with wire mesh, we can assume that the sides and the top form a rectangular prism. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l, w, and h are the length, width, and height of the prism, respectively.

Since the wire mesh is only needed on the sides and the top, we can ignore one of the dimensions for each surface area calculation. Assuming the cages are rectangular with equal dimensions, we can calculate the surface area as follows:

Surface Area = 2lw + 2lh + 2wh

= 2(lw + lh + wh)

Given that each cage needs 240 m³ of space, we can assume that the dimensions are equal, so let's say l = w = h.

Surface Area = 2(lw + lh + wh)

= 2(l² + l² + l²)

= 6l²

To find the minimum amount of wire mesh needed, we need to calculate the surface area of both cages and sum them up:

Total Surface Area = 6l² + 6l²

= 12l²

Since we don't know the exact value of l, we can't determine the exact amount of wire mesh needed. However, we can say that the minimum amount of wire mesh needed is proportional to 12l².

In conclusion, the minimum amount of wire mesh needed for the batting cages is dependent on the length of each side (l) and can be represented by 12l².

Learn more about calculation of surface area here: brainly.com/question/31403282

#SPJ11

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

Learn more about Compound interest here: brainly.com/question/13155407
#SPJ11

Assumptions: For the purpose of this exercise, let's assume that we are analyzing defects in a manufacturing process. We will invent data for five different categories of defects and their corresponding frequencies. the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

a. Based on the invented data, the histogram analysis reveals the following distribution of defects and their frequencies:

Category A: 50 defects

Category B: 30 defects

Category C: 20 defects

Category D: 15 defects

Category E: 10 defects

To identify the top 20% of the category of defects contributing to 80% of the total volume, we calculate the cumulative frequency. Starting with the category with the highest frequency, we add up the frequencies until we reach 80% of the total. In this case, Category A contributes the highest frequency, and its cumulative frequency is 50. The total number of defects is 125 (50 + 30 + 20 + 15 + 10). By calculating the cumulative percentage for each category, we find that the top 20% category of defects is Category A.

b. Performing a Root Cause Analysis for the Top Contributing Factor (Category A) using the 5-Why method or Fishbone diagram helps determine the underlying causes. We identify potential factors such as equipment malfunction, operator error, insufficient training, or process variability. By asking "why" repeatedly, we dig deeper into each cause to uncover the root cause.

c. Based on the analysis, we develop a corrective action plan and preventive action plan. For example:

Corrective Action Plan: Assign qualified technicians to regularly inspect and maintain the equipment, conduct additional training for operators to enhance their skills, and implement process control measures to reduce variability.

Preventive Action Plan: Establish a preventive maintenance schedule for equipment, implement a comprehensive training program for all operators, and conduct regular process audits to identify and address potential issues proactively.

The corrective and preventive action plans should clearly define the tasks, responsibilities, and timelines. The maintenance department may be responsible for equipment maintenance, the training department for operator training, and the quality department for process audits. Regular monitoring and evaluation of the action plans should be conducted to ensure effectiveness and make any necessary adjustments.

know more about cumulative frequency click here:

https://brainly.com/question/28491523

#SPJ11

The student is getting enough sleep because the student is sleeping for 7 hours 30 minutes. The inequality for the number of hours of sleep is x ≥ 7 hours.

For the student to be getting enough sleep, the student has to sleep for greater than 7 hours. The first step is to determine the number of hours slept.

In order to determine the time the student spent sleeping, subtract the time he slept from the time he woke up. Subtraction is the process that is sued to determine the difference between two or more numbers.

The sign that represents subtraction is -. In this case, 6 : 30am - 11 : 00pm = 7 hours 30 minutes. The sign to use is ≥ because the student can sleep for 7 hours or greater.

Learn more about time on:

https://brainly.com/question/26290873

#SPJ1

The student is getting enough sleep.

The inequality that represents the number of hours a student should sleep each night is s ≥ 7 hours.

In order to determine if the student is getting enough sleep, we have to determine the total hours between 11:00pm and 6:30am. The total hours between 11:00pm and 6:30am is 7 hours 30 minutes.  7 hours 30 minutes is greater than 7 hours. Thus, the student is getting enough sleep.

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The sign that would be used is, ≥ , the greater than or equal to sign

The total hours slept ≥ 7 hours

s ≥  7 hours

To learn more about inequality, please check: https://brainly.com/question/5031619

#SPJ1

Answer:

6

Step-by-step explanation:

I may be wrong.

If I am, delete this answer.

If it's right, please mark it as the Brainliest. I would really appreciate it.

The total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

Geometry is one of the earliest areas of mathematics, along with algebra. It is concerned with spatial qualities such as figure proximity, form, size, and relative location. A geometer is a mathematics who works in the discipline of geometry.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

In the given diagram, the upper part of the triangular pyramid has 3 corners and the lower part of the triangular pyramid has 3 corners.

Then the total number of vertices that this three-dimensional shape will be 6. Then the correct option is D.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

8 ft

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4ft X 8ft= 32ft

Answer:

Slope = (8/5)

y-intercept = -4

Step-by-step explanation:

See attached worksheet.

Submarine 1 : at 4,863 feet and is ascending 81.1 feet per minute

Submarine 2: at 3,645 feet and is ascending 76.9 feet per minute

so, step 1:

The third statement is the true

Step 2:

For the same depth

-4,863 + 81.1 m = -3,645 + 76.9 m

solve to find m

so,

81.1 m - 76.9 m = 4863 - 3645

4.2 m = 1,218

m = 1,218/4.2 = 290 minutes

==============================================================================

firstly u can take the value of x=3 then put the value of x in equation..then u will get y = 0 so from this equation u get this(3,0)

then do same thing take value x = 6 and then u will get the value of y = -1 therefore u will get (6,-1)

Now plot these two points (3,0) and (6,-1) on graph..

Hope it helps u..!!

Answer:

\(\dfrac{c}{2}\)

Step-by-step explanation:

We can simplify the given expression by canceling like terms.

Remember that anything divided by itself is 1.

ex:

\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)

Applying this logic to the given expression:

\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)

↓ simplify multiplication of fractions

\(\dfrac{a \cdot bc}{2b \cdot a}\)

↓ rewrite to align like variables

\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)

↓ separate out variables that are divided by each other

\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)

↓ represent them as 1

\(1 \cdot 1 \cdot \dfrac{c}{2}\)

↓ rewrite without unnecessary 1's

\(\dfrac{c}{2}\)

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

Learn more about polynomial here;

https://brainly.com/question/29153822

#SPJ4

Answer:B

Step-by-step explanation:

If you simplify 3/6 you will get 1/2

Answer:

slope = 3

Step-by-step explanation:

Let's take two points, (0,0), (1,3)

slope = change of y/change of x

s = 3 - 0/ 1 - 0

s = 3/1

s = 3