The energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.
To find this we have the work function of Lithium is 2.90 eV, which is a measure of the minimum energy required to remove an electron from the surface of the material. The energy of light is proportional to its frequency (E = hf) or its wavelength (E = hc/λ), where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.
Given the wavelength of light as 1850 nm, we can calculate its energy as follows:
E = hc/λ = (6.63 x [tex]10^{-34}[/tex]Js) (3 x [tex]10^8[/tex] m/s) / (1850 x [tex]10^{-9[/tex]m)
= 3.38 x [tex]10^{-19[/tex] J
Since 1 eV = 1.6 x [tex]10^{-19[/tex] J, the energy of the light can be converted to eV as follows:
E (eV) = 3.38 x [tex]10^{-19[/tex] J / (1.6 x [tex]10^{-19[/tex] J/eV) = 2.11 eV
Since the energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.
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Which of the following sentences is written the passive voice?
1. Charlie ran down the street
2. The delicious bread is baked by Mr. Jilin
3. The plane will fly at five o clock
4. Kristin played with her dolls
The sentence written in the passive voice is - The delicious bread is baked by Mr. Jilin
Which of the following sentences is written the passive voice?This sentence is written in the passive voice because it follows the passive voice structure of: Object + Past Participle Verb (baked) + by Agent (Mr. Jilin).
In the passive voice, the object of the sentence (delicious bread) is the focus of the sentence, rather than the agent (Mr. Jilin).
Passive voice is a grammatical construction in which the subject of a sentence is not the one performing the action.
Instead, the action is done to the subject. For example, instead of saying "I ate the apple," one might say "The apple was eaten by me."
In passive voice, the subject of the sentence is often omitted and the verb is usually conjugated with a form of "to be" and the past participle of the verb.
This grammatical construction is used to emphasize the object of the action, rather than the subject, and can also be used when the subject is unknown or unimportant.
Passive voice can also be used in scientific and technical writing to create sentences that are clear and concise.
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Linear Equation
X
Linear Inequality
What's the same with the two functions?
What's different with the two functions?
Q
S
Submitt
Answer:
Step-by-step explanation:
the this it the r po ggr
The probability a certain spinner will land on 1 is 15%, 2 - 20%, 3 - 30%, 4 - 35%/ What is the expected value (mean) the spinner will land on?
A. 2.15
B. 2,5
C. 2,75
D. 2.85
8x - 2y = 16
- 4x + y = 8
Answer: i think its B the slope is 8 and the y-intercept is -3/2 the candle starts at a height of 3/2 of an inch and decreases 8 inches every hour
i said i think so srry if you get it wrong :)
Step-by-step explanation:
Consider the given circles.
Order the sectors from least to greatest according to their areas, in square units?
Note that according to the areas of the circles in square units, the circles ordered from the least to the greatest is:
Area of a circle with a Diameter of 19Area of a circle with Circumference 87.92 unitsa circle with an area of 1,040.09 square units.a circle with a radius of 27 units.What is the Justification for the above arrangement?To determine the correct order, we need to solve for the areas of all the circles given the various factors provided.
A) a circle with an area of 1,040.09 square units. (Area given)
B) a circle with a radius of 27 units
Area where radius is given is computed using:
A = πr²
A = π * 27²
A [tex]\approx[/tex] 2290.22
C) a circle with a circumference of 87.92 units
Since Circumference is given:
A = C²/4π
Where C = Circumference
Thus A = 87.92²/*4*π)
A [tex]\approx[/tex] 615.13
D) a circle with a diameter of 19 units.
Area, where the diameter is given, is:
A = 1/4 πd²
A = 1/4 * π * 19²
A [tex]\approx[/tex] 283.53
Thus, it is correct to state that the order of the Areas of the Circles given from least to greatest is:
Area of a circle with a Diameter of 19
a circle with a radius of 27 units.
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Full Question:
Place the circles in order from the circle with the smallest area to the circle with the largest area
* a circle with a area of 1,040.09 square units.
* a circle with a radius of 27 units
*a circle with a circumference of 87.92 units
*a circle with a diameter of 19 units.
Which math expreion mean the um of an unknown number and 15
A. 15. X
B. X 15
C. X - 15
D. 15 divided x
Answer:
i think x+15 would be the correct answer
what are the next three terms of the arithmetic sequence the first term is 3 common difference is 11
Answer:
second term=14
third=25
fourth=36
Step-by-step explanation:
n= the first term in the sequence+(n-1) times the common difference between terms
here n=3, because you asking for third term, so is 25
second term=14
third=25
fourth=36
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thank
Anita purchaed a new building for her buine. Being in the prime location, he decided to
make ome more money by putting up an advertiement ign for a rental ad income on the roof
of the buildin
Anita has acquired a new building, which is located in a prime location. She aims to generate additional income by putting up an advertisement sign for rental purposes on the roof of the building.
By placing an advertisement sign on the roof, Anita is making use of the building's prime location and visibility to attract potential tenants. The sign is a cost-effective way of advertising her building and helps to reach a large audience, who may be interested in renting a space in the building.
Additionally, the rental income generated from the advertisement sign will help to offset the costs of owning the building, making it a profitable investment for Anita in the long run. By utilizing all the resources at her disposal, she is making smart business decisions that will help her achieve her financial goals.
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The complete question is-
What is the plan of Anita for the new building that she purchased for her business?
What’s the answer!!!!
Answer:
Without rounding $24.58 alternately $24.95 would be a comparable price as well and would also fit the parameters.
Step-by-step explanation:
50 ÷ 6 = 8.33
$ 2.95 × 8.33 = $24.58
2. The Math Club is selling t-shirts as a fund-raiser. The function rule C = 9n +45 represents
their cost, with Crepresenting the total cost of the order, and n representing the
number of shirts. What could the numbers in the function represent? Select all that
apply.
C= the total cost
9= the cost of each shirt
45= could be some other variable (donation, how much they have so far, etc.)
What mistake did Dennis make?
The mistake which Dennis made include the following: B. he didn't exclude x = 3, which makes the denominator in the original expression equal to zero.
What is a rational expression?In Mathematics, a rational expression simply refers to a type of expression which is expressed as a fraction. This ultimately implies that, a rational expression is composed of two (2) main parts and these include the following:
NumeratorDenominatorGenerally speaking, the excluded values of any rational expression simply refers to the values for which the expression is undefined, which is typically obtained when the denominator is equal to zero (0).
Rational expression = (x² - 6x + 0)/(x² + x - 12)
When x = 3, we have the following expression:
Rational expression = (x² - 6x + 0)/(3² + 3 - 12)
Rational expression = (x² - 6x + 0)/(9 + 3 - 12)
Rational expression = (x² - 6x + 0)/0
Rational expression = undefined.
Therefore, excluded values are x ≠ 3 and 4.
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in a survey one fourth young girl like sour taste only and one third like chilly taste. if 50 of them do not like both the taste, find the total number of young girl
There are 120 young girls in the survey.
What is the Principle of Inclusion-Exclusion?
The Principle of Inclusion-Exclusion is a combinatorial principle used to find the number of elements in the union of two or more finite sets. It states that the total number of elements in the union of two sets is equal to the sum of the number of elements in each set minus the number of elements in their intersection.
To find the total number of young girls, we can use the Principle of Inclusion-Exclusion. This principle states that if A and B are two events, then the number of elements in the union of A and B is equal to the sum of the number of elements in A and B, minus the number of elements in their intersection.
In this problem, let's call the number of young girls who like sour taste only "A", the number of young girls who like chilly taste only "B", and the number of young girls who like both tastes "C". Then, the total number of young girls is equal to the number of girls in A, plus the number of girls in B, minus the number of girls in C.
Since one fourth of the girls like sour taste only, the number of girls in A is 1/4 of the total number of girls. Similarly, since one third of the girls like chilly taste only, the number of girls in B is 1/3 of the total number of girls. And since 50 of the girls do not like both tastes, the number of girls in C is 50.
So, the total number of young girls is equal to (1/4) * total + (1/3) * total - 50. We can solve for the total by rearranging the equation and using the given information:
total = (50 + (1/4) * total + (1/3) * total) / (1 - (1/4) - (1/3))
total = (50 + 3/12 * total) / (5/12)
total = (50 * 12/5) / (7/5)
total = 120
Therefore, there are 120 young girls in the survey.
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20 picture cards are to be divided in some ratio between Gini and Kimi. Which of these could be the ratio?
Answer:
Step-by-step explanation:
10
20 divide by 2=10
if a is any rectangular matrix prove that a*a and aa* are both hermitian
A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Here
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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A matrix A is said to be hermitian if it satisfies the property A = A*
A* Means the conjugate transpose of A
Given that A is a rectangular matrix.
we can prove that AA and AA are both hermitian by showing that AA = (AA)* and AA* = (AA*)*
we will prove that A*A is hermitian:
(AA) = (A*)A = A*A
AA = (AA)
so we can see that it is "AA" indeed hermitian,
Now we will prove that AA* is hermitian
(AA*)* = A*(A*)* = A*A
AA* = (AA*)
AA is indeed hermitian.
given any rectangular matrix A, we have shown that AA and AA are both hermitian, as they both satisfy the property of A = A*.
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At the baseball game, nachos are $6.00 and hotdogs are $3.00. A group of 8 friends orders one item each and pays a total of $36.00.
Write an equation for the total amount of money spent. Let nachos be denoted by x and hotdogs by y.
Write an equation for the total number of items purchased. Let nachos be denoted by x and hotdogs by y.
Rewrite the equation for the total amount of money spent in slope-intercept form.
Rewrite the equation for the total number of items purchased in slope-intercept form.
Find the total of hotdogs and nachos sold
1. The equation for the total amount of money spent is: 6x + 3y = 36.
2. The equation for the total number of items purchased is: x + y = 8.
3. The slope-intercept equation is: y = -2x + 12
4. The equation is y = -x + 8
5. Total number is 8.
How to Write an Equation?The slope-intercept equation is expressed as y = mx + b.
1. The total amount of money spent can be represented by the equation: 6x + 3y = 36, where x represents the number of nachos and y represents the number of hotdogs.
2. The total number of items purchased can be represented by the equation: x + y = 8, where x represents the number of nachos and y represents the number of hotdogs.
3. To write the equation for the total amount of money spent in slope-intercept form, we need to solve for y:
6x + 3y = 36
3y = -6x + 36
y = -2x + 12
4. To write the equation for the total number of items purchased in slope-intercept form, we need to solve for y:
x + y = 8
y = -x + 8
5. The total number of hotdogs and nachos sold is 8, which is the sum of x and y.
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in a poker game with a standard 52 card deck, what is the probability of drawing a five-card hand without any queens?
Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52
5 cards can be chosen from a deck of 52 cards in ⁵²C₅
In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.
Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅
47/52
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The full question
What is the probability that a five-card poker hand does not contain the queen of hearts?
a cylindrical drinking glass has a diameter of 2.5 in. and is 5.5 in. tall. what is the volume of the drinking glass in cubic centimeters?
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
The cylinder is a three-dimensional shape having a circular base.
A cylinder can be seen as a set of circular disks that are stacked on one another.
The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.
Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.
For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.
Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder
Since the base is the circle, it can be written as
Volume = πr^2 × h
Therefore, the volume of a cylinder = πr^2h cubic units.
diameter of 2.5 in
r = 2.5/2 in.
r = 1.25 in
r = 3.175 cm
cylindrical drinking glass 5.5 in. tall
h = 5.5 in.
h = 13.97cm
volume of the drinking glass
Volume = πr^2 × h
= π ( 3.175)^2 × 13.97 cm^3
= 442.4189 cm^3
The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .
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According to the nutrition facts for these potato chips, a serving has 170
mg of sodium, or 7% of the daily recommended value for an average adult.
Based on this information, how many milligrams of sodium should an
average adult consume in a day?
O2428.57 or about 2400 mg
2 1500 mg
amin B6 10%
247.2 or about 300 mg
Answer:
2428.57mg
Step-by-step explanation:
170 mg of sodium =7%
170/7% = 2428.57mg
Pls hepl mathnation chech your understanding 7.3.7pls
The required area model is shown in the figure, as per the given expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Area model of the expression x² + x - 56 is formed as,
factorize the given expression
x² + x -56= (x + 8)(x - 7)
Thus, the required area model is shown in the figure, as per the given expression.
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i need to get this right, help
(im not to sure on my answer)
Answer:
First choice
Step-by-step explanation:
The graph appears to show the time and the distance a motorcycle is from a house.
By inspection of the graph we can say that the first two hours the position of the motorcycle steadily moves away from the house. Then for the duration of 1 hour(hour2-hour3) the motorcycle moves closer to the house. Finally the motorcycle's position for an hour does not change meaning that the motorcyle has not moved for the duration of another hour.
So the motorcycle moves away from the house for two hours. Then it moves back towards the house for an hour. Finally it parks for an hour. This corresponds to the first answer choice.
You are given the equation 13 = 2x + 5 with no solution set.
Part A: Determine two values that make the equation false. (2 points)
Part B: Explain why your integer solutions are false. Show all work. (2 points)
Answer:Determine two values that make the equation false. (2 points)
Step-by-step explanation:
Answer: You are only giving 4 point!
Step-by-step explanation:
given the matrix a=⎡⎣⎢aa39−6−259a⎤⎦⎥, find all values of a that make |a|=0. give your answer as a comma-separated list.
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
What is polynomial ?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.
To find the values of a that make the determinant of the matrix |a| equal to 0, we need to evaluate the determinant of the matrix:
|a| = a * (-6a + 9) - (3a^2 - 9) * 9
= -6a^3 + 27a^2 + 9a * 9 = 0
We can then solve for a using polynomial roots:
-6a^3 + 27a^2 + 81 = 0
The values of a that make |a| = 0 are the roots of the cubic polynomial equation -6a^3 + 27a^2 + 81 = 0.
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a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling the rope to the top of the building? (a) how much work w is done in pulling the rope to the top of the building? show how to approximate the required work by a riemann sum, then express the work as an integral and evaluate it. (b) a heavy rope, 30 ft long, weighs 0.8 lb/ft and hangs over the edge of a building 100 ft high. how much work w is done in pulling half the rope to the top of the building?
(a) The work done in pulling the rope to the top of the building is approximately 4800 ft-lb.
(b) The work done in pulling half the rope to the top of the building is approximately 2400 ft-lb.
The work done in pulling the rope to the top of the building can be calculated using a Riemann sum:
W = Σ (0.8 lb/ft) x (g) x (Δx)Where Δx is a small change in the length of the rope, g is the acceleration due to gravity (32 [tex]ft/s^2[/tex]), and the sum is taken over the entire length of the rope (from 0 to 100 ft).
Expressing the work as an integral, we have:
W=∫ [tex]0^{100} (0.8 lb/ft) x (g) x (x) dx[/tex]
Evaluating this integral gives us the work done in pulling the rope to the top of the building:
[tex]W = (0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=100
W = 4800 ft-lb
(b)To find the work done in pulling half the rope to the top of the building, we simply evaluate the integral from x=0 to x=50 (the length of half the rope).
W = [tex](0.8 lb/ft) x (g) x (x^2/2)[/tex] evaluated from x=0 to x=50
W = 2400 ft-lb.
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Write a number entence uing multiplication to how what fraction repreented on the number line i equivelent to 3/4
After multiplying by 2 in the numerator and denominator both, we can write 3/4 in an equivalent fraction as 6/8.
The equivalent form is the process in which we write the same expression in simple numbers or modified form.
To find the equivalent fraction, divide or multiply by the same number to both the denominator and numerator that is equal to one
For example, Equivalent to 1/2 is 1/2 × 2/2 = 2/4
The fraction number, 3/4
Now, further multiplying and dividing number 2 in the given fraction number 3/4
⇒ 2 × 3/2 × 4
⇒ 6/8
Hence, the equivalent form is 6/8.
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HELP pls show work also WILL MARK BRAINLIEST IF CORRECT
Answer:
Below
Step-by-step explanation:
Company 1 charges 9.25 for 2.5 pounds and 14.50 for 6 pounds
so (6-2.5) pounds costs (14.50 - 9.25)
3.5 pounds cost an increase of 5.25
5.25 dollars / 3.5 pounds = 1.50 per pound
Company 2 's rate is the slope of the line = (7.25-6.50)/ 1 = .75 dollar per pound ( found by looking at the cost of 1 pound and the cost of 2 pounds)
Fixed cost for company 2 is the value where x = 0......the y-axis intercept = $ 5.75
Answer:
Step-by-step explanation:
Company 1: find constant rate = Δy/Δx, from any two (x,y) pairs on the data table
Constant rate = (14.50 - 9.25) / (9.25 - 2.5) = 1.5
Company 2 constant rate = $1.50/lb
Find the fixed fee for Company 1 by finding the y-intercept.
y - y1 = m(x - x1) Choose any (x,y) from the data table
y - 9.25 = 1.50(x - 2.5) Now put the equation in slope-intercept form.
y = 1.50x - 3.75 + 9.25
y = 1.50x + 5.50
Company 1 fixed fee = $5.50
Company 2: find the slope of the line to get the constant rate, pick any 2 points on the line.
m = Δy/Δx = (7.25 - 5.75) /(2 - 0) = 0.75
Company 2 constant rate = $0.75/lb
Find the fixed fee by finding the y-intercept on the graph (where the line intersects the y axis at x = 0)
Company 2 fixed fee = $5.75
. the second hand on a clock is 5 inches long. how far (to the nearest tenth of an inch) does the tip move in 10 seconds?
The tip of the second hand of the clock moves a distance as far as 5.2 inches in 10 seconds.
The distance traveled by the tip of the second hand on a clock can be calculated by using the formula for circumference of a circle, which is:
C = 2πr
where C is the circumference, π is approximately equal to 3.14159, and r is the radius.
If the length of the second hand is 5 inches, then the radius of the circle is 5 inches.
Therefore, the circumference of the circle traced by the tip of the second hand is C = 2πr = 2π(5 inches) = 10π = 31.4159
If we assume that the second hand moves at a constant speed, then the distance traveled by the tip in 10 seconds is equal to the circumference of the circle multiplied by the fraction of the circumference covered in 10 seconds.
Since the second hand completes one full revolution in 60 seconds, then in 10 seconds it covers 1/6 of the circumference. Therefore, the distance traveled by the tip in 10 seconds is:
1/6 C = 1/6(31.4159 inches) = 5.23598 inches
Round off to the nearest tenth of an inch.
5.23598 inches = 5.2 inches
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Find the surface area of the cube shown below.
units2
NIT
Check the picture below.
so we really have 6 faces, each one with an area of 2½ x 2½
[tex]\stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the 6 faces }}{6\left( \cfrac{5}{2}\cdot \cfrac{5}{2} \right)}\implies 6\cdot \cfrac{25}{4}\implies \cfrac{75}{2}\implies 37\frac{1}{2}[/tex]
Three requirements for a lifeguard training course are shown in the sign below.
Swim a least 300 feet.
Tread water for at least 5 minutes.
And swim 30 feet or more under water while holding breathe.
Write three inequalities that represent the requirements shown
on the sign?
Alonzo can swim 250 feet, tread water for 6 minutes, and swim
35 feet underwater while holding his breath. Does he satisfy the
requirements of the course?
On solving the provided question, we can say that the inequality equation is swim ≥ 100 yards, tread ≥ 5 min and under ≥ 10 yards
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
the inequality equation is
swim ≥ 100 yards
tread ≥ 5 min
under ≥ 10 yards
swim is not satisfied because lifeguard only swam 250 ft. (83 1/3 yards)
under not satisfied because less than 10 yards.
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Select from the drop-down menus to correctly complete each statement.
−25 is 25 units to the
Choose...
of zero on a number line. The opposite of −25 is 25 units to the
Choose...
of zero on a number line.
On a number line, -25 is 25 units to the left of zero, while the opposite of 25 is 25 units to the right of zero.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
On both sides, the magnitude of the numbers will increase from 0 to 1.
So, based on the graph in the attached, 25 is 25 units to the left of zero on a number line.
On a number line, the opposite of 25 is 25 units to the right of zero.
Here, the opposite of -25 refers to +25, which will be 25 units to the right of zero on a number line.
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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