The monthly paycheck for state income tax is $11,573.33
How determine how much is withheld from the monthly paycheck?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
Annual Gross pay = $555,520
He is married with 4 dependents.
So, every month he earns:
monthly earnings = 555,520/12
= $46,293.33
Also, he has 4 dependents
= $46,293.33 /4
= $11,573.33
Thus, the paycheck is $11,573.33.
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1, Monique has the flowers shown in the table. She wants to put all the flowers into decorative vases. Each vase must have the same number of flowers in it. Without mixing flowers, what is the greatest number of flowers that Monique can put in each vase?
Monique can make 5 Vase with 4 Daisies and 5 Roses in each.
What is Highest Common Factor?The greatest number among all the common factors of the given numbers is the HCF (Highest Common Factor) of two numbers.
For example, the HCF of 12 and 36 is 12 because 12 is the highest common factor of 12 and 36.
Given:
Daisies = 20
Roses = 25
Monique obviously wants to use all the flowers so she does not any left over. She needs to find a number which divides into 20 and 25,
So, the HCF of 16 and 24, which is 5.
Factors of 20 = 2, 4, 5, 10, 20.
Factors of 25 = 5, 25
So, She will be able to make 5 bouquets.
and, Each bouquet will have 4 Daisies and 5 Roses.
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The Complete Table that missing in the table is
Flower Type Number
Daisies 20
Roses 25
If the variation in the process is due to common causes alone, the process is said to be:
Select one:
a. out of control.
b. in statistical control.
c. in pre-control.
d. out of capability.
If variation in a process results from common causes alone, the process is said to be in statistical control.
When talking about control charts, being in-control means your process is exhibiting common cause variation and is predictable.
Variation due to the inherent variability in a system of operation is called. special or assignable causes.
Industrial control systems are used by a discipline known as industrial process control in continuous manufacturing processes to produce at a level of consistency, economy, and safety that is impossible to achieve exclusively through manual human control. Process control systems make guarantee that industrial activities are carried out efficiently, dependably, and with as little fluctuation as is practical. They are installed in industrial settings to guarantee throughput, quality, yield, and energy efficiency. Ensure that work is done profitably and safely according to established procedures.
Therefore,
If variation in a process results from common causes alone, the process is said to be in statistical control.
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How do you know if a function is exponential decay?
The general form of an exponential decay function is f(a) = P . (1 - r)ᵃ, hence a function is an exponential decay if the factor (1 - r) is less than 1.
The general exponential decay function can be written as:
f(a) = P . (1 - r)ᵃ
Where:
P = initial quantity
f(a) = remaining quantity at time a
a = time period
r = decay rate
(1 - r) = decay factor
On the other hand, the general exponential growth function can be written as:
f(a) = P . (1 + r)ᵃ
Hence, the difference between decay function and growth function is: the factor in decay faction is less than 1, while in growth function, the factor is greater than 1.
Example:
f(a) = 6 . (0.25)ᵃ
This is an exponential decay function because the factor is less than 1, that is 0.25
f(a) = 10 . (3)ᵃ
This is not an exponential decay function, but a growth function, because the factor is greater than 1, that is 3
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-x+1/10+x4
The expression represents a term is
, the leading term is
Submit Answer
~ polynomial with terms. The constant , and the leading coefficient is
The expression is a polynomial expression that has 3 terms
The constant is 1/10
the leading coefficient is 1
What is a polynomial function?A polynomial function is a function in an equation, such as the quadratic equation, cubic equation, etc., that only uses non-negative integer powers or only positive integer exponents of a variable.
A polynomial with an exponent of 1 is, for instance, 2x + 5.
The given polynomial is written as -x + 1/10 + x⁴
x⁴ - x + 1/10
the number of terms are 3
the constant term is 1/10
the leading coefficient is the coefficient of x⁴ which is 1
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Which of these relations are functions? Select all that apply.
Option(C) represents the function.
What is a function?
A function is a relation between a set of inputs (also called the domain) and a set of outputs (also called the range) such that for each input, there is exactly one output. A graph of a function is a visual representation of the relationship between the inputs and outputs, with the inputs represented on the x-axis and the outputs represented on the y-axis.
A curve can be a function if it meets the definition of a function, which states that for each input (x value), there is exactly one output (y value). In other words, no two points on the curve have the same x-coordinate but different y-coordinates.
Hence, Option(C) represents the function.
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(p - 1/p) = 5 , prove that p ^ 3 - 1/(p ^ 3) = 140
Use identity:
a³ - b³ = (a - b)(a² + ab + b²),Modify it as follows:
a³ - b³ = (a - b)(a² + ab + b²) = (a - b)(a² - 2ab + b² + 3ab) = (a - b)[(a - b)² + 3ab]Substitute a = p, b = 1/p and evaluate:
p³ - 1/p³ = (p - 1/p)[(p - 1/p)² + 3p(1/p)] =5(5² + 3) = 5(25 + 3) = 5(28) = 140Proved
find the area of the region enclosed by the curves y = x and 2x + y2 = 24.
The area of the enclosed region is 83.4 square units.
To calculate the integral, first determine the limits, which will be the points where both curves meet.
The area will be integrated with respect to y.
In respect to y:
[tex]2x + y^{2}[/tex] = 24
[tex]2x[/tex] = 24 - [tex]y^{2}[/tex]
[tex]x[/tex] = 12 - [tex]\frac{y^{2} }{2}[/tex]
Finding limits:
y = 12 - [tex]\frac{y^{2} }{2}[/tex]
12 - [tex]\frac{y^{2} }{2}[/tex] - y = 0
Multiply by 2 to facilitate calculations:
24 - [tex]y^{2}[/tex] - 2y = 0
Resolving quadratic equation:
- [tex]y^{2}[/tex] -2y + 24 = 0
- ([tex]y^{2}[/tex] + 2y - 24 ) = 0
Divide both sides the same factor,
[tex]y^{2}[/tex] + 2y - 24 = 0
Use Quadratic formula,
y = (-b ± [tex]\sqrt (b^{2} -4ac)[/tex] ) / 2a
y = (-2 ± [tex]\sqrt{2^{2}-4*1*(-24) }[/tex] ) / 2*1
y = (-2 ± [tex]\sqrt{4+96}[/tex] ) / 2
y = (-2 ± [tex]\sqrt{100}[/tex] ) / 2
y = (-2 ± 10 ) / 2
y = (-2 + 10 ) /2 , y = (-2 - 10 ) /2
y = 8/2 , y = -12/2
y = 4 , y = -6
y = 4 and y = -6
Then, integral to calculate area will be with limits -6<y<4:
A = [tex]\int\limits^[/tex] 12 - [tex]\frac{y^{2} }{2}[/tex] - y dy
A = 12y - [tex]\frac{y^{3} }{6}[/tex] - [tex]\frac{y^{2} }{2}[/tex]
A = 12*4 - [tex]\frac{4^{3} }{6}[/tex] - [tex]\frac{4^{2} }{2}[/tex] - [12(-6) - [tex]\frac{-6^{3} }{6}[/tex] - [tex]\frac{-6^{2} }{2}[/tex] ]
A = 48 - 10.6 - 8 - [ -72 + 36 - 18 ]
A = 48 - 10.6 - 8 + 72 - 36 + 18
A = 83.4
Therefore,
The area of the enclosed region is 83.4 square units.
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Ruth bought 12.762 gallons of gas for $2.759 a gallon, including tax.
About how many whole gallons of gas did Ruth buy? How much did she pay per gallon, rounded to the nearest penny?
Y’all pls help ASAP!! These 5th grade math problems are becoming a real struggle for my 8th grade self. Helping my lil brother
About 13 gallons. Paid $2.76 per gallon rounded
12.762 rounded up is about 13. After tge decimal look at the 7, then 6 next to it. Anything 5 or higher round up. 4 or lower, round down.
Same rules with the amount per gallon.
From a class containing 12 girls and 10 boys, three students are to be selected to serve on a school advisory panel. Here are four different methods of making the selection. Which is the best sampling method, among these four, if you want the school panel to represent a fair and representative view of the opinions of your class?
The best sampling method, among these four, will be ¹²C₂ × ¹⁰C₁.
What are permutation and combination?A permutation is an act of correctly arranging things or pieces. Combinations are a method of taking stuff or pieces from an assortment of items or sets in which the order of the items is irrelevant.
Three pupils will be chosen from a class of 12 girls and 10 males to sit on a school advisory council. Here are four distinct approaches to choosing.
The total number of students is given as,
Total = 12 + 10 = 22
Then the best sampling method, among these four will be given as,
¹²C₃ × ¹⁰C₀, ¹²C₂ × ¹⁰C₁, ¹²C₁ × ¹⁰C₂, ¹²C₀ × ¹⁰C₃
The best sampling method, among these four, will be ¹²C₂ × ¹⁰C₁.
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Households with net worth in the negative or zero have the highest average credit card debt. Why do you think this is?.
Households with negative or zero net worth may have high credit card debt due to financial distress, using credit to cover everyday expenses, or difficulty managing finances.
Financial distress: Households with negative net worth may be in financial distress and may be relying on credit cards to cover their basic expenses. This can lead to high levels of credit card debt as they continue to use their credit cards to pay for necessities such as food, housing, and utilities.
Financing everyday expenses: Households with zero net worth may also have high levels of credit card debt if they are using their credit cards to finance their everyday expenses. This can happen if they do not have sufficient income to cover their expenses, or if they have high levels of fixed expenses such as mortgage or rent payments.
Difficulty managing finances: Households with negative or zero net worth may also have a harder time managing their finances and may be more prone to making financial mistakes such as missing credit card payments or making late payments. This can lead to higher levels of credit card debt as they incur late fees and interest charges.
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Households with net worth in the negative or zero have the highest average credit card debt due to the lack of other financing options available to them.
The reason why households with net worth in the negative or zero have the highest average credit card debt is likely due to the fact that they have less access to other financing options and thus rely more heavily on credit cards. When a household has no net worth, they are unable to turn to other sources of borrowing such as home equity loans or personal loans, as they have no equity to borrow against. Therefore, they are more likely to use credit cards to cover unexpected expenses or emergency needs. In addition, households with zero or negative net worth may have lower income and less access to savings, causing them to rely heavily on credit cards for daily expenses.
To illustrate this concept, let’s assume that there are two households with different levels of net worth. Household A has a net worth of $10,000 and Household B has a net worth of -$2,000. Both households have monthly expenses of $1,000 and an income of $2,000. Household A has more financial flexibility because they can turn to other sources of borrowing to cover their expenses, such as home equity loans or personal loans. Household B, however, is unable to borrow against their negative net worth and must rely solely on credit cards to cover their monthly expenses. This makes them more likely to accumulate higher levels of credit card debt due to their limited access to other financing options.
Therefore, it is evident that households with net worth in the negative or zero have the highest average credit card debt due to the lack of other financing options available to them.
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At the beginning of the day, Hasim counted his money. He gave his brother 1/3 of his money. He spent £12 on a present for his sister. He then counted what he had left, and it was half what he had at the beginning of the day. How much did he give his brother? Show your method.
Answer: the answer is £12.
Step-by-step explanation:
To solve this problem, we can set up an equation to represent the information given in the problem. Let's call the amount of money Hasim had at the beginning of the day x.
We know that Hasim gave his brother 1/3 of his money, so we can represent that with the equation:
x / 3 = y
Where y is the amount of money Hasim gave to his brother.
We also know that Hasim spent £12 on a present for his sister, so we can subtract that amount from x to find the amount of money he had left:
x - 12 = z
Where z is the amount of money Hasim had left after buying the present.
Finally, we are told that the amount of money Hasim had left is half of what he had at the beginning of the day, so we can represent that with the equation:
x / 2 = z
Now we have three equations that all involve the variable x. We can solve for x by substituting the first equation into the second and third equations:
x / 3 = x - 12
x / 2 = x / 3
Solving these equations, we find that x = 36.
This means that Hasim had £36 at the beginning of the day, and gave his brother £36 / 3 = £<<36/3=12>>12.
An animation shows a beetle crawling in a straight line from the point (0, 10) to the point (28, 84) in 2 seconds. write a pair of parametric equations to model the path of the beetle. which point represents the location of the beetle 5 seconds after starting? (38, 94) (70, 195) (80, 185) (184, 269)
Point (80, 185) represents the location of the beetle 5 seconds after starting.
An equation of this type is known as a parametric equation; it uses an independent variable known as a parameter (commonly represented by t) and dependent variables that are defined as continuous functions of the parameter and independent of other variables. When necessary, more than one parameter can be used. For instance, the equation y = x2 can be expressed as a pair of equations in parametric form, x = t and y = t2, rather than the Cartesian form of y = x2. Parameterization, which transforms a function into a parametric form, greatly improves the efficiency of differentiating and integrating curves.
The parametric equations for the path of the beetle are:
x(t) = 28t
y(t) = 84t + 10
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Answer:
it’s not 80,185 I got it wrong on edge
Step-by-step explanation:
ugh
Drag a statement or reason to each box to complete the proof. If 5(x+6)=x+38, then x=2.
Statement: 5(x+6)=x+38 is x=2
We are given the equation 5(x+6)=x+38. We can solve this equation by isolating x on one side of the equation. To do this, we will first subtract x from both sides of the equation. This will leave us with 5x+30=38. We can then subtract 30 from both sides of the equation to isolate the x terms. This leaves us with 5x=8. We can then divide both sides of the equation by 5 to isolate x. This gives us x=2.
Therefore, if 5(x+6)=x+38, then x=2.
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The Given Statement is true reason is the value in the left-hand side is equal to the value in the right-hand side. it shows proof that 5(x+6) = x+38 for x =2.
Here we have to understand what is an equation because in question we have given an equation.
A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.
2x - 5 and 13 are expressions in this case.
These two expressions are joined together by the sign "=".
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. Since we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
Here we have given an equation
5(x+6) = x+38 we have to proof for x = 2.
LHS 5(x+6) = 5(2+6) = 5*8 = 40
RHS x+38 = 2+38 = 40
So the given statement is true because LHS = RHS.
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You have $4.50. Each piece of candy at the candy store costs $0.15. Write and solve an inequality that represents the number of gum balls you can buy.
Answer:
[tex]0.15*x \leq 4.5\\x \leq 30\\Where\ x \ represents\ the\ amount\ of\ candy[/tex]
Step-by-step explanation:
Divide the amount we have by the price of the sweets, and write it into an inequality.
The inequality symbol represents that the total price of all the sweets we want to buy cannot be larger than our budget.
i need help geometry
Using Pythagoras theorem, the hypothenuse is equal 4 units
What is Pythagoras TheoremPythagoras theorem states that in a right triangle, the square of the length of the longest side (the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. Mathematically, it can be expressed as a²+ b² = c², where a and b are the lengths of the two shorter sides, and c is the length of the hypotenuse.
The length of the third side is the hypothenuse and we can use Pythagoras theorem to find that.
a²+ b² = c²
3² + (√7)² = c²
9 + 7 = c²
c² = 16
Taking the square root of both sides;
c = √16
c = 4
The third side is 4 units
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The third side which is a hypotenuse of the right angle triangle have the length equal to 4.
How to evaluate for the length of the hypotenuseWe shall represent the length of the third side with x, so that by Pythagoras rule we evaluate for the hypotenuse as follows:
x² = 3² + (√7)² {note that: (√7)² = √7 × √7 = 7}
x² = 9 + 7
x² = 16 {square root of both sides}
x = √16
x = 4.
Hence the length of the hypotenuse is equal to 4 by proper application of the Pythagoras rule.
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Solve the problem 4p-32=p+7
Answer:
p = 13
Step-by-step explanation:
Solve the problem 4p-32=p+7
4p - 32 = p + 7
3p = 39
p = 39 : 3
p = 13
-------------------------------------
check4 x 13 - 32 = 13 + 7
20 = 20
the answer is goodIf a triangle has the base of 6cm and a height of 6cm and a side of 7cm and 8cm what is the perimeter
Answer:
21 cm
Step-by-step explanation:
The perimeter of a triangle is the sum of the lengths of the 3 sides. We already know all 3 lengths. The base is 6 cm, and the other two sides are 7 cm and 8 cm. 6+7+8 = 21. The perimeter is 21 cm.
perimeter of the triangle when base=6cm , height=6cm and side=7cm:
perimeter =6+6+7= 19cm.
perimeter of the triangle when base=6cm , height=6cm and side=8cm:
perimeter =6+6+8= 20cm.
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A cylinder has a base radius of 7in and a height of 18in. What is its volume in cubic in, to the nearest tenths place?
The cylinder has a height of 18 in, a base radius of 7 in, and a volume of 2769.5 in³.
How can you figure out a cylinder's volume?A cylinder is one of the most basic curvilinear geometric shapes and has traditionally been a solid in three dimensions. In elementary geometry, it is regarded as a prism with a circle as its basis.
V = πr²h is the formula for computing a cylinder's volume.
where ;
r is the radius 7 inches and;h is the height 18 inches.Replace the specified arguments to obtain:
V = π(7)² * 18
V = 2769.5 in³
Therefore, the cylinder's volume, which has a base radius of 7 inches and a height of 18 inches, is 2769.5 in³.
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Jasmine has taken an online boating safety course and is now completing her end of course exam. As she answers each question, the progress bar at the bottom of the screen shows what portion of the test she has finished. She has just completed question 16 and the progress bar shows she is 20% complete. How many total questions are on the test?
Answer:
Step-by-step explanation:
16 = 20% of x
20% = 1/5
So...
16 = 1/5 of x
16 = 1/5*x
Multiply both sides by 5...
80 = x
There are 80 questions on the test.
Please mark brainliest.
-4x+4y=4 and under it is y=3x+9 freshman algebra
Answer:
x = -4
y = -3
Step-by-step explanation:
-4x + 4y = 4 Eq. 1
y = 3x + 9 Eq. 2
Replacing Eq. 2 in Eq. 1:
-4x + 4(3x+9) = 4
-4x + (4*3x + 4*9) = 4
-4x + (12x+ 36) = 4
8x + 36 = 4
8x = 4 - 36
8x = -32
x = -32/8
x = -4
From Eq. 2
y = 3*-4 + 9
y = -12 + 9
y = -3
Check:
From Eq. 1
-4x + 4y = 4
-4*-4 + 4*-3 = 4
16 - 12 = 4
Tanika asks Toby to multiply the expression 8^7* 8^3*8^2. Toby says he doesn't know how to do it, because he believes the Product of Powers works with only two exponential terms, and this problem has three terms. Explain how Toby could use the Product of Powers Property with three exponential terms.
========================================================
Explanation:
When working on complicated problems, it's best to break things down as much as possible.
Toby knows how to work with 2 terms, so let's start with that.
Ignore the 8^2 for now.
Focus on the first 2 exponential terms 8^7 and 8^3.
Multiply them to get: 8^7*8^3 = 8^(7+3) = 8^10
Which Toby should know how to do. The general rule is
a^b*a^c = a^(b+c)
Add the exponents but only when the bases are the same.
-----------------------------
This means
8^7* 8^3*8^2
is the same as
8^10*8^2
Then apply that rule again to get
8^10*8^2 = 8^(10+2) = 8^12
-----------------------------
So overall, 8^7*8^3*8^2 = 8^12
In other words, we add the exponents to get 7+3+2 = 12 as the final exponent. The base stays at 8 the entire time.
Let u = ln x and v = lny. Write In(x²y^5) in terms of u and v.
The value of the given logarithm ln(x²y⁵) in terms of u and v will be 2u + 5v thus option (D) is correct.
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given expressions,
u = ln x and v = ln y
Take anti-log as
x = [tex]e^{u}[/tex] and y = [tex]e^{v}[/tex]
Thus, x² = [tex]e^{2u}[/tex] and y⁵ = [tex]e^{5v}[/tex].
Multiply both as
x²y⁵ = [tex]e^{2u}[/tex][tex]e^{5v}[/tex]
Take logarithms on both sides,
ln(x²y⁵) = ln( [tex]e^{2u}[/tex][tex]e^{5v}[/tex])
By log property that ln(A x B) = lnA + lnB
ln(x²y⁵) = ln ([tex]e^{2u}[/tex]) + ln([tex]e^{5v}[/tex])
ln(x²y⁵) = 2u ln e + 5v ln e
ln(x²y⁵) = 2u + 5v
Hence "In terms of u and v, the value of the given logarithm ln(x²y⁵) will be 2u + 5v.".
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Find the sum of 4.06 x 10¹⁹ and 5.034 x 10¹⁷
A.) 4.11034 x 10¹⁹
B.) 9.094 x 10¹⁹
C.) 4.11034 x 10³⁶
D.) 9.094 x 10³⁶
(I think its B but I'm not sure)
the sum of 4.06 x 10¹⁹ and 5.034 x 10¹⁷ is 4.11034 x 10¹⁹ (option b)
to add 4.06 x 10¹⁹ and 5.034 x10¹⁷ following steps are to be followed
4.06 x 10¹⁹ can be written as 406x10¹⁷
taking 10¹⁷ common from 406x10¹⁷ and 5.034 x10¹⁷ (406x10¹⁷ +5.034 x10¹⁷) it will be 411.034 x 10¹⁷
or we can write it as 4.11034 x 10¹⁹
therefore, the sum of 4.06 x 10¹⁹ and 5.034 x 10¹⁷ is 4.11034 x 10¹⁹
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A circle is centered at (11, -9) and has a radius of 12.
What is the equation of the circle?
Enter the equation using lowercase variables x and y in the box.
The equation of the circle with a radius of 12 and a center at (11, -9) is
x² + y² - 22x + 18y + 58 = 0
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is given as πr²
We have,
Equation of a circle:
(x - h)² + (y - k)² = r²
Where (h. k) is the center of the circle and r is the radius of the circle.
Now,
The radius of the circle = 12
Center of the circle = (11, -9) = (h, k)
Now,
(x - h)² + (y - k)² = r²
(x - 11)² + (y + 9)² = 12²
(x - 11)² + (y + 9)² = 144
x² - 22x + 121 + y² + 18y + 81 = 144
x² + y² - 22x + 18y = 144 - 121 - 81
x² + y² - 22x + 18y + 58 = 0
Thus,
x² + y² - 22x + 18y + 58 = 0 is the equation of the circle.
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Citrix Apps Apps CANVAS > Home EPB Intranet 7. -/2 points RogaCalcET4 13.5.017.Tutorial. Find r(t) and v(t) given a(t) and the initial velocity and position. a(t) = tk, v(0) = 4i, r(0) = 2; v(t) = r(t) = Additional Materials Tutorial +-12 points RogaCalcETA 19 rann
The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.
Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.
a = dv/dt
We have the following informations are available,
Initial velocity, v(0) = 4i
Initial position, r(0) = 2j
Acceleration at any time "t",
a(t) = tk
we have to determine the value of v(t) and r(t).
As we know, a(t) = dv(t)/dt = tk
integrating the above equation ,
v(t) = ∫tk dt = ( t²/2 )k + c
at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i
=> c = 4i
So, v(t) = ( t²/2 )k + 4i
Also, velocity is calculated by derivative of postion (r) with respect to time.
=> v(t) = dr(t) /dt
=> r(t) = ∫ v(t) dt
=> r(t) = ∫ ( t²/2 )k dt
integrating value of the right hand side,
r(t) = ( t³/2×3 )k +d
= (t³/6)k + d
At t = 0, r(0) = (0/6)k + d
=> r(0) = d = 2j
so, r(t) = (t³/6)k + 2j
Hence, the required position and velocity are
(t³/6)k + 2j and ( t²/2 )k + 4i.
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What is Theory X and Y and how it is different from Theory Z when talking about leadership?
People hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.
What are Theories X and Y?Theories of human labor motivation and management include Theory X and Theory Y.
They were invented by Douglas McGregor in the 1950s while he was a faculty member at the MIT Sloan School of Management, and they underwent further development in the 1960s.
Consider work a natural part of life, and come up with creative solutions for workplace issues.
According to Theory X, individuals despise their jobs, desire to escape them, and detest having to be accountable.
According to Theory Y, people are self-driven and enjoy having responsibilities placed on them.
Therefore, people hate their jobs, want to get away from them, and hate having to be responsible, claims Theory X. People are independent and appreciate having obligations placed on them, claims Theory Y.
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If g(x)= 1-x/x^2, evaluate g(2).
A) -1/4
B) 1/4
C) -1/2
D) 1/2
g(2) is -1/4 for function g(x)= 1-x/x².
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is g(x)= 1-x/x²
g of x equal to one minus x divided by x square
g(x)= 1-x/x²
Now we need to find the value of g(2).
Replace the x with 2
g(2)=1-2/2²
When two is subtracted from one we get minus one and two square is four
g(2)=-1/4
Hence, g(2) is -1/4 for function g(x)= 1-x/x².
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can you help with both questions that would be appreciated thanks
Answer:
D. y ≤ -1/4x - 3
A. y < 2/3x + 3
Step-by-step explanation:
For the first question, the answer would obviously be either B or D because the y-intercept is -3. The slope of the graph is -1/4 so the answer is D.
For the second question, the answer would be A or B because its a dashed line. Next, the slope is 2/3 so the answer is A.
find a function f such that f '(x) = 5x3 and the line 135x + y = 0 is tangent to the graph of f.
The tangent to the graph f, f(x) = [tex]5x^4[/tex]/4 + 15/4.
What is Integration?When infinitesimal data are combined, notions such as displacement, area, and volume can be created. An integral assigns numbers to functions in a way that describes these concepts. Integration is the action of locating integrals.
Given:
f '(x) = 5x³
and, line: 5x + y= 0
We integrate to get f(x) = ∫5x³ dx = [tex]5x^4[/tex]/4 + C.
As, tangent line is y = - 5x,
then f'(x) = 5x³ = - 5, x³ = -1 and x = -1 is x-coordinate of tangent point.
So, the y-coordinate of tangent point is
f(-1) = 5[tex](-1)^4[/tex]/4 + C
= 5/4 + C.
and, the equation of tangent line is
y - 5/4 - C = - 5(x + 1)
y = - 5x - 15/4 + C.
Thus, -15/4 + C = 0,
C = 15/4 and f(x) = [tex]5x^4[/tex]/4 + 15/4
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Colton has a 16 ounce milk. He drinks 9 ounces. Enter the percentage of ounces Colton has left of his milk. Round your answer to the nearest hundredth..
Answer:
56.25
Step-by-step explanation:
