Answer: $518.73
Step-by-step explanation:
just subtract everything from net pay
The net pay in this case would be $ 518.73.
To find the net pay of a $ 784 gross pay, with a federal withholding of $ 142, a FICA of $ 61.87, a state tax of $ 48.15 and health deductions of $ 13.25, the following calculation must be performed:
784 - 142 - 61.87 - 48.15 - 1.25 = X 518.73 = X
Therefore, the net pay in this case would be $ 518.73.
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Which expression is equivalent to (1 + cos(x))2Tangent (StartFraction x Over 2 EndFraction) )?
sin(x)
1 – cos(x)
1 – cos2(x)
(1 + cos(x))(sin(x))
(1 + cos(x)) sin(x) is equivalent to the expression (1 + cos(x))² tan(x/2)
How to find which expression is equivalent to (1 + cos(x))² tan(x/2)?
Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation
Given: the expression (1 + cos(x))² tan(x/2)
(1 + cos(x))² tan(x/2)
In trigonometric Identity:
Since tan(x/2) = sinx / (1+cosx). We have:
(1 + cos(x))² tan(x/2) = (1 + cos(x))² [sin(x) / (1+cos(x))]
(1 + cos(x))² tan(x/2) = (1 + cos(x)) sin(x)
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select theta notation for f (n) = (n3/2), g(n) = (n5/2)
The theta notation for the function f (n) = (n3/2), g(n) = (n5/2) is Θ(n5/2).
What is theta notation? Theta notation is used to describe the asymptotic performance of an algorithm. It specifies a tight bound on the growth rate of the algorithm, i.e., an upper bound and a lower bound.
It is represented using the Greek letter theta (Θ).In the case of the given functions,
f (n) = (n3/2), g(n) = (n5/2),
we can determine their theta notation as follows:
We have f (n) = (n3/2).
Let's find g (n) / f (n):g (n) / f (n) = (n5/2) / (n3/2) = n
Therefore, g (n) is greater than or equal to f (n) multiplied by a constant c1, which is 1, for all n greater than or equal to 1.
This implies that the lower bound of the function is n3/2, which means that the lower bound of the function is n3/2.
Hence, the theta notation of f (n) is Θ(n3/2).
Similarly, for g (n) = (n5/2), let's find f (n) / g (n):f (n) / g (n) = (n3/2) / (n5/2) = 1 / n
Therefore, f (n) is less than or equal to g (n) multiplied by a constant c2, which is 1, for all n greater than or equal to 1.
This implies that the upper bound of the function is n5/2, which means that the upper bound of the function is n5/2.
Hence, the theta notation of g (n) is Θ(n5/2). Therefore, the theta notation for the function f (n) = (n3/2), g(n) = (n5/2) is Θ(n5/2).
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what is the probability of getting a score of 80% or higher on a 5-question truefalse quiz when guessing (with a 50-50 chance of being correct) on every question? what if instead the quiz has 20 questions?
The probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question is 1/16, while the probability of getting a score of 80% or higher on a 20-question true/false quiz is 1/1048576.
What is the probability of getting a score of 80% or higher on a 5-question true/false quiz when guessing (with a 50-50 chance of being correct) on every question
A quiz consists of 5 questions. A student guesses each of the questions. The probability of guessing a question correctly is 0.5.
Therefore, the Probability of getting a score of 80% or higher is = Probability of getting 4 or 5 questions right. To get 4 out of 5, we have to consider all possibilities of choosing 4 out of 5 questions correctly. A number of ways of choosing 4 out of 5 questions correctly is 5.
A number of ways of guessing the 5 questions is 2^5.
Therefore, the probability of getting 4 out of 5 correct is 5/32. To get 5 out of 5, we have to consider only one possibility.
A number of ways of guessing 5 questions is 2^5.
Therefore, the probability of getting 5 out of 5 correct is 1/32.
So, the probability of getting a score of 80% or higher = Probability of getting 4 or 5
questions right = 5/32 + 1/32 = 6/32 = 3/16.
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What if instead, the quiz has 20 questions,
If the quiz has 20 questions, the probability of getting a score of 80% or higher is 1/2^20 = 1/1048576.
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The soccer team and the football team are sharing the field for their practices today. The soccer team meets for practice every 3 days, and the football team meets every 10 days. How many days from now will they have to share the field again?
The soccer team and the football team will have to share the field again after 30 days.
To find the number of days until the soccer team and the football team have to share the field again, we need to find the least common multiple (LCM) of 3 and 10.
The LCM is the smallest number that is divisible by both 3 and 10. In this case, the LCM of 3 and 10 is 30.
Therefore, after 30 days, the soccer team and the football team will have their practice sessions on the same day and will need to share the field again.
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The side included by A and ARB is
Find the third side in simplest radical form: help asap!!
Answer:
The answer is 24 ( your welcome)
Step-by-step explanation:
a squared + b squared= c squared
c squared/ a squared= b squared
Evaluate 3x-4 when x=5
Answer: 11
Step-by-step explanation:
Substitute x with 5.
3(5)-4=11
Answer:
11
Step-by-step explanation:
Plug in 5 for x to get the following expression:
3(5) - 4
Then just solve:
15 - 4
11
The test will cover 120 pages in his textbook. He has read only 36 pages. If he plans to read an equal amount every day of the week to finish the 120 pages, how much must read each day?
Answer:
He must read each day=12 pages
Step-by-step explanation:
We are given that
Total number of pages in textbook=120
He has read number of pages=36
Number of days in a week=7
We have to find the number of pages read each day to finish 120 pages in a week.
Number of pages remaining for reading=120-36
Number of pages remaining for reading=84
Now,
Number of pages read each day=\(\frac{84}{7}\)
Number of pages read each day=12
Hence, he must read each day=12 pages
At a music festival, there are nine bands scheduled to play, numbered 1 through 9. a. How many different ways can these bands be arranged to perform? b. If band 8 is performing first and band 2 last, then how many ways can their appearances be scheduled? a. There are 362,880 different ways to arrange the bands. (Simplify your answer.) different ways to arrange the bands. b. If band 8 is performing first and band 2 last, there are (Simplify your answer.)
a. There are 362,880 different ways to arrange the bands.
b. If band 8 is performing first and band 2 last, there are 40,320 different ways to schedule their appearances.
To find the number of different ways to arrange the bands, we use the concept of permutations. Since there are 9 bands, we have 9 options for the first slot, 8 options for the second slot, 7 options for the third slot, and so on. Therefore, the total number of arrangements is 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362,880.
b. Given that band 8 is performing first and band 2 last, we fix these two positions. Now we have 7 bands left to fill the remaining 7 slots. We can arrange these 7 bands in 7! (7 factorial) ways, which is equal to 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040.
However, since we have already fixed the positions for bands 8 and 2, we need to multiply this by the number of ways to arrange the remaining bands, which is 7!. Therefore, the total number of ways to schedule their appearances is 5,040 × 7! = 40,320.
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I will make you brainliest if correct
Step-by-step explanation:
parallel. both lines lines up beside eachother
Consider the equation below (in screenshot)
Approximate the solution to the given equation by performing three iterations of successive approximation. Use the table as a starting point.
PLEASE HELP AND SHOW PROOF :( im unsure if it is 39/8 or 79/16
The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
How to find an approximate solution of a one-variable equation
The solution of the equation is between x = 4 and x = 5. Now we begin by evaluating each side of the expression (f(x) = x² - 5 · x + 4, g(x) = 2 / (x - 1)) at the average of x = 4 and x = 5.
x = (4 + 5) / 2
x = 4.5
f(4.5) = 4.5² - 5 · 4.5 + 1
f(4.5) = - 5 / 4
g(4.5) = 2 / (4.5 - 1)
g(4.5) = 4 / 7
The solution of the equation is between x = 4.5 and x = 5, then we evaluate at the average:
x = (4.5 + 5) / 2
x = 4.75
f(4.75) = 4.75² - 5 · 4.75 + 1
f(4.75) = - 3 / 16
g(4.75) = 2 / (4.75 - 1)
g(4.75) = 8 / 15
The solution of the equation is between x = 4.75 and x = 5, then we evaluate at the average:
x = (4.75 + 5) / 2
x = 4.875
f(4.875) = 4.875² - 5 · 4.875 + 1
f(4.875) = 25 / 64
g(4.875) = 2 / (4.875 - 1)
g(4.875) = 16 / 31
The approximate solution of the equation shown in the picture is x ≈ 39 / 8 (Right choice: B).
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∆XWZ≈∆______ by ________
triangle ZYX by HL
triangle ZYX by ASA
Not possible
triangle XYZ by HL
there are 22 students in mario's class. mario's teacher is planning to pair the students up for a project. how many different combinations of pairs are possible? 462 44 11 231
22! / 20! × 2!
\(21 \times 11 = 231 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
Determine the coordinates of W(-7 , 4) after a reflection in the line y = 9
The coordinates of W(-7, 4) after a reflection in the line y = 9 are (-7, -2).
The line y = 9 represents a horizontal line at y = 9 on the coordinate plane.
To reflect a point across a line, we need to find the same distance between the point and the line on the opposite side.
The line y = 9 is 5 units below the point W(-7, 4), so we need to reflect the point 5 units above the line.
We subtract 5 from the y-coordinate of the point W(-7, 4) to find the new y-coordinate after reflection: 4 - 5 = -1.
The x-coordinate remains the same, so the coordinates of the reflected point are (-7, -1).
However, the reflected point is still below the line y = 9. To bring it above the line, we need to reflect it again.
This time, we add 10 to the y-coordinate of the reflected point: -1 + 10 = 9.
The final coordinates of W(-7, 4) after reflection in the line y = 9 are (-7, -1).
Therefore, the coordinates of W(-7, 4) after a reflection in the line y = 9 are (-7, -1).
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PLS HELP SUPER EASYY
The measure of the given angle ∠BDC or x is 55°.
What are angles?An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.
The Latin word "angulus," which means "corner," is the source of the English term "angle."
The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.
A geometrical shape called an angle is created by connecting two rays at their termini.
In most cases, an angle is expressed in degrees.
So, we know that:
∠ABC = 80°
∠ABD = 25°
∠BDC = x°
Calculate for ∠BDC:
∠ABC - ∠ABD = ∠BDC
80 - 25 = x
x = 55°
Therefore, the measure of the given angle ∠BDC or x is 55°.
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Solve for g.
-3+5+6g=11-3g−3+5+6g=11−3g
Answer: \(\mathrm{No\:Solution}\)
Step-by-step explanation:
\(\begin{bmatrix}-3+5+6g=1\\ 1-3g+5+6g=11-3g\end{bmatrix}\)
\(\begin{bmatrix}1-3\left(-\frac{1}{6}\right)+5+6\left(-\frac{1}{6}\right)=11-3\left(-\frac{1}{6}\right)\end{bmatrix}\)
\(\begin{bmatrix}\frac{11}{2}=\frac{23}{2}\end{bmatrix}\)
\(\frac{11}{2}=\frac{23}{2}\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)
Answer:
g=1
Step-by-step explanation:
Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
Around 420 players joined in the volleyball tournament. each team should have same number of players how many players could be there on the team?
A.8
B.9
C.11
D.12
ANSWER PLS :(
Answer:
12
Step-by-step explanation:
its the only answer that doesn't give you a decimal when you divide 420 by it.
A band must pay a $2500 entrance fee, It will split the cost between its 25 members. How much will each member pay?
Please help quick
Answer $100 each
Step-by-step explanation:
2500/25
Answer: 2500/25
Each member pays $100
============================================
Explanation:
The slash symbol means division. It's the same as saying 2500 ÷ 25
The expression 2500/25 simplifies to 100, which means that each member must pay $100. If you had 25 members paying $100 each, then 25*100 = 2500 dollars is the total amount of money paid.
So in short, you divide the total cost over the number of members.
if the inverse demand function for toasters is p=100-20 what is the consumer surplus if price is $35? The consumer surplus is $ (round your answer to two decimal places)
Given the inverse demand function p = 100 - 20q for toasters and a price of $35, we can find the consumer surplus.
First, we'll find the quantity demanded at the given price:
35 = 100 - 20q
20q = 100 - 35
q = (100 - 35) / 20
q = 65 / 20
q = 3.25
Now, to find the consumer surplus, we'll use the formula:
Consumer Surplus = (1/2) × Base × Height
The base represents the quantity (q = 3.25) and the height is the difference between the maximum willingness to pay (p = 100) and the actual price (p = 35).
Consumer Surplus = (1/2) × 3.25 × (100 - 35)
Consumer Surplus = 0.5 × 3.25 × 65
Consumer Surplus = 105.625
So, the consumer surplus is $105.63 when rounded to two decimal places.
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2help me PLEASE THIS IS WORTH SO MANY POINTS PLEAS EHELP ME
Answer:
I would say A
Step-by-step explanation:
Because just because a quadrilateral has 4 congruent sides, does not make it a rhombus. Because a square has 4 congruent sides too.
Determine by inspection two solutions of the given first-order ivp. y' = 4y3/4, y(0) = 0
The two solution are y = 0 and y = \(x^{4}\)
y' = 4y3/4, y(0) = 0
The initial condition y(0) =0 implies that the graph of the solution curves will pass through the origin.
Consider the curve y = 0, passing through the origin.
Substitute y =0 in y' = 4y3/4
y' =0
Therefore, y=0 is a solution curve of the given differential equation.
Consider the curve y = x, passing through the origin.
Substitute y =x in y' = 4y3/4
x' = 4x3/4
1 = 4x3/4 not balanced equation.
Therefore, y =x is not a solution curve of the differential equation.
Now, consider y = \(x^{3}\) passing through the origin.
Substitute y = \(x^{3}\) in y' = 4y3/4
\(x^{3}=4(x^{3} )^3/4\)
3\(x^{2} =4x^9/^{4}\) not balanced equation.
Therefore, y = x^3 is not a solution curve of the given differential equation.
Now, consider y = x\(x^{4}\) passing through the origin
Substitute y = \(x^{4}\) in y' = 4y3/4
\(x^{4}=4(x^4)^{3/4}\)
\(4x^3=4(x^4)^{12/4}\\ 4x^3=4x^3\)
Therefore, y = \(x^{3}\) is a solution curve of the given differential equation.
So, the two solution are y = 0 and y = \(x^{4}\)
Therefore, the two solutions are y = 0 and y =\(x^{4}\)
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10. Ryan can trim the bushes in the neighbor's yard in 2 hours. Shawn can trim the bushes in 3 hours. If they work together, how long will the job take? a) What is the equation for this calculation? b) How long will the job take? Give the answer in minutes.
Answer:
1 / (Ryan's rate + Shawn's rate)
72 minutes
Step-by-step explanation:
Given that :
Ryan's time = 2 hours ; rate = 1 /2
Shawn's time = 3 hours ; rate = 1/3
A.)
Working together :
Take the reciprocal of the sum of Ryan and Shawn's rate
1 / (Ryan's rate + Shawn's rate)
B.) 1/ (1/2 + 1/3)
(1/2 + 1/3) = (3 + 2) / 6 = 5/6
Rate working together = 5/6
Time taken = 1 ÷ (5/6)
= 1 * 6/5
= 6/5 hours = 1.2 hours = (1.2 * 60) = 72 minutes
I NEED HELP ASP. IT IS SO HARD
Answer:
i think caiden will make it
Step-by-step explanation:
(1 point) suppose that you randomly draw one card from a standard deck of 52 cards. after writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. you repeat this process until you have drawn 15 cards in all. what is the probability of drawing at least 7 hearts?
The probability of drawing at least 7 hearts is 0.0567.
A card is randomly drawn from a deck of cards.
Total number of cards in a deck = 52
The number of times the process is repeated, n = 15
Number of hearts in a deck = 13
The probability of getting a spade is:
p = 13/52 = 1/4
The formula for probability is given as:
P( E ) = favorable cases / total number of cases
The probability of getting no heart is:
q = 1 - p = 1 - 1/4 = 3/4
Using the binomial theorem of probability,
P( X = x ) = \(_{n}C_{r} \times p^{r} \times q^{n-r}\)
So, the probability of drawing at least 7 hearts will be:
P = P( 7 ) + P( 8 ) + .....P( 15 )
Now,
P( 7 ) = 15!/( 15 - 7 )! × (0.25)⁷ × (0.75)⁶ = 0.03932
P(8) = 15!/(15 - 8)! × (0.25)⁸ × (0.75)⁷ = 0.0131
P(9) = 15!/(15 - 9)! × (0.25)⁹ × (0.75)⁶ = 0.003398
P(10) = 15!/(15 - 10)! × (0.25)¹⁰ × (0.75)⁵ = 0.00068
P(11) = 15!/(15 - 11)! × (0.25)¹¹ × (0.75)⁴ = 0.000103
P(12) = 15!/(15 - 12)! × (0.25)¹² × (0.75)³ = 0.000102
P(13) = 15!/(15 - 13)! × (0.25)¹³ × (0.75)² = 8.80099833e-7
P(14) = 15!/(15 - 14)! × (0.25)¹⁴ × (0.75)¹ = 4.19095159e-8
P(15) = 15!/(15 - 15)! × (0.25)¹⁵ × (0.75)⁰ = 9.3132257e-10
So, the probability is:
P = P( 7 ) + P( 8 ) +......P( 15 )
P = 9.3132257e-10 + 4.19095159e-8 + 8.80099833e-7 + 0.000102 + 0.000103 + 0.00068 + 0.003398 + 0.0131 + 0.03932
P = 0.0567
Therefore, the probability of drawing at least 7 hearts is 0.0567
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Considerando que cada semana se van acumulando los amigos de la semana anterior. ¿Cuántos amigos se fueron uniendo por semana ? Suponiendo que cada semana fueran nuevos amigos cuántos tendría en total? En este mismo supuesto ¿En qué semana alcanzara más de la mitad de Seguidores que acumulo en las doce semanas?
Answer:
1. Amigos nuevos cada semana: 7, 8, 4, 4, 5, 4, 3, 5, 8, 2, 7, 7
2. 418 amigos en total.
3. En la Semana 9 se alcanzan 247 amigos.
Step-by-step explanation:
He agregado una imagen adjunta con la tabla de datos necesarios para esta pregunta. En la misma se indican la cantidad de amigos o seguidores para cada semana, de un perfil de una red social hipotética.
1. Considerando que cada semana se van acumulando los amigos de la semana anterior. ¿Cuántos amigos se fueron uniendo por semana.
En este caso indica que los amigos se van acumulando cada semana, por lo que la tabla indica los amigos totales del perfil. Para saber cuantos se han agregado cada semana, debemos restar el valor de una semana dada con el valor de la semana anterior. Por ejemplo para la semana 1 indica 7 amigos y para la semana 2 indica 15 amigos, la cantidad de amigos nuevos en la semana 2 es:
semana2 - semana1 = 15 - 7 = 8 nuevos amigos
Los resultados para las semanas 1 a la 12 son:
7, 8, 4, 4, 5, 4, 3, 5, 8, 2, 7, 7
En el archivo excel adjunto (resultados.xlsx) se indican todos los resultados para las 12 semanas.
2. Suponiendo que cada semana fueran nuevos amigos ¿Cuántos tendría en total?
En este supuesto, la tabla de datos indica la cantidad de nuevos amigos cada semana, por lo que para calcular cuantos amigos tendrá en total luego de las 12 semanas se deben sumar todos los valores:
semana1 + semana2 + semana3 +...+...+semana12 = 418 amigos en total
3. En este mismo supuesto ¿En qué semana alcanzara más de la mitad de Seguidores que acumulo en las doce semanas?
Con el mismo supuesto anterior, primero debemos calcular la mitad de amigos totales que alcanzará. Ya hemos calculado que tendrá 418 amigos, por lo que la mitad será:
418÷2 = 209 amigos
Ahora debemos ir sumando los amigos semana a semana, hasta alcanzar un valor igual o mayor a la mitad (209). Eso nos indicará en que semana se supera mas de la mitad de seguidores. Haciendo la operación:
semana1+semana2+semana3+...+...
encontramos que en la semana 9 se alcanzan 247 amigos, superando la mitad calculada anteriormente.
Se pueden ver los detalles en el archivo adjunto resultados.xlsx
Can someone pwease help meh ;((
Answer:
Step-by-step explanation:
Part A:
(400-325)/(5-0)
75/5= 15 is the slope
Part B:
(0, 325) (5, 400)
y - 325 = 15(x - 0)
Part C:
y = 15x + 325
Part D:
x = 12
y = 15(12)+ 325
y = 180 + 325
y = $505
Graph y = sec(4x) + 2 from 0
How do you determine if a matrix is a linear combination of other matrices?
To determine if a matrix is a linear combination of other matrices, we need to check if it can be written as a weighted sum of those matrices where the weights are scalar values (numbers).
If a matrix can be expressed in this way, it is said to be a linear combination of the other matrices.
For example if we have matrices: A, B & C and we can write matrix D as follows:
D = 2A + 3B + CThen D is a linear combination of matrices A, B and C. This concept is important in linear algebra as it allows us to express one matrix in terms of others. Making it easier to manipulate & analyze the matrices. A matrix is a linear combination of other matrices if it can be expressed as a weighted sum of those matrices where the weights are scalar values.
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what is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations? (round your answer to three decimal places.)
0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations
To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.
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