The initial velocity = vi = 6m/s
The final velocity = vf = 16 m/s
The total time = t = 20 seconds
The rate of change in velocity is called acceleration (a) that can be written as:
\(a\text{ = }\frac{Change\text{ in velocity}}{time}\)
or
\(a\text{ = }\frac{vf-vi}{t}\)Put the values in the equation to get the value of 'a'.
\(a\text{ = }\frac{16\text{ - 6}}{20}\)\(a\text{ = }\frac{10}{20}\)or
\(a\text{ = }\frac{1}{2}\)hence, the value of a is 1/2.
The federal unemployment tax act (futa) is a payroll tax paid by employers on employee wages. The tax is 6. 0% on the first $7,000 an employee earns each year. If walmart has 1. 5 million employees in the u. S. , about how much does it pay in futa taxes annually?.
The amount of tax that Walmart pay annually in FUTA is $630 million .
In the question ,
it is given that ,
the amount that an employee earns in 1 year(E) = $7000
the tax rate (r) = 6%
number of employees in Walmart = 1.5 million = 1.5 × 10⁶
So , the amount of tax paid by Walmart in Federal Unemployment Tax Act(FUTA) can be calculated using the formula
Amount = r × n × E
Substituting the values of r , n , E in the amount formula ,
we get ,
Amount = 0.06 × 1.5 × 10⁶ × 7000
= 630,000,000
= 630 million .
Therefore , The amount of tax that Walmart pay annually in FUTA is $630 million .
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how do you solve | -23.12 + .2361 | + 31.876 ?
Answer:
54.7599
Step-by-step explanation:
Carlos is renovating a house and hires a plumber to install the piping for the new bathroom. The plumber charges an initial fee plus an hourly rate for the number of hours it will take to complete the installation. The function
y=100+35x can be used to model the total cost of the job, in dollars.
What does the slope in the expression of this function represent?
Answer:
The hourly rate
Step-by-step explanation:
Evaluate 4- 2f when f=1
Answer:
the answer is 2
Step-by-step explanation:
4-2*1
4-2=2
for rotation, when swapping the x and y and making the y negative, what happens if the new y is already negative
When you perform a 2D rotation of a point by swapping the x and y coordinates and negating the new y coordinate, the sign of the y-coordinate will change based on the quadrant in which the original point lies.
If the original point lies in the first or fourth quadrant, the new y-coordinate will be negative after rotation. In this case, if the new y-coordinate is already negative, then you do not need to negate it again.
On the other hand, if the original point lies in the second or third quadrant, the new y-coordinate will be positive after rotation. In this case, if the new y-coordinate is already negative, then you need to negate it to correctly represent the rotation.
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What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
x < –9
x > –9
x < x is less than or equal to negative StartFraction 1 Over 9 EndFraction.
x > –x is greater than or equal to negative StartFraction 1 Over 9 EndFraction.
The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9
How to find the missing stepThe missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.
After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.
However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.
Dividing both sides by -2:
-2x / -2 > 18 / -2
This simplifies to:
x > -9
Therefore, the correct answer is x > -9.
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Marybeth has 2 quarters and 5 nickels. What percentage of a dollar does she have?
Answer:
0.75 cents
Step-by-step explanation:
quarter is 25 cents and nickels are 5 cents so add 25+25+25=75
The following is a 3-step proof. Complete the proof.
Given: 1 = 2
AP = BP
1) \(\angle 1=\angle 2\), \(AP=BP\) (given)
2) \(\angle APD=\angle BPC\) (vertical angles are equal)
3) \(\triangle ABD \cong \triangle BAC\) (ASA)
Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.
Coordinates Quadrant
P(-3/5, ?) III
P(?, 1/3) II
\((\frac{-3}{5}, \frac{-4}{5} ) and (\frac{-8^\frac{1}{2} }{3} ,\frac{1}{3})\) are the missing coordinates(P) in the Quadrant iii and quadrant ii of the unit circle
What is quadrant and its type?
A quadrant is an area or section of a cartesian plane that results from the intersection of two axes. It is used to establish a point's location in a plane. Look at the illustration below, which depicts a cartesian plane with two axes dividing it into four quadrants.
The graph plane is divided into four quadrants by the X and Y axes:
The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.The top left corner of the plane is where the second quadrant is located. The x-coordinate is negative and the y-coordinate is positive in this quadrant.The lower left-hand corner of the plane is where the third quadrant is located. The x and y coordinates in this quadrant are both negative.The lower right corner of the plane is where the fourth quarter is located. The x-coordinate is positive and the y-coordinate is negative in this quadrant.The quadrants are numbered in an anti-clockwise manner, it should be noted.So now we know that the equation of the unit circle is x^2+y^2=r^2
now the Point (P) will be:-
\((-3/5)^2+(y)^2=1\\\\y^2=1-9/25\\\\y=-4/5\)
because the quadrant is iii
\((x)^2+(1/3)^2=1\\\\x^2=1-1/9\\\\y=-8^\frac{1}{2} /3\)
because the quadrant is ii
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0 0.3 1 0.25 2 0.3 3 0.15 find the expected value of the probability distribution. round to two decimal places. find the standard deviation of the probability distribution. round to two decimal places.
To find the expected value of the probability distribution, we need to multiply each value by its corresponding probability, then add up the results. So, we have:
0 * 0.3 + 1 * 0.25 + 2 * 0.3 + 3 * 0.15 = 0 + 0.25 + 0.6 + 0.45 = 1.3
Therefore, the expected value of the probability distribution is 1.3.
To find the standard deviation of the probability distribution, we need to use the formula:
σ = sqrt(∑(x-μ)²p)
Where σ is the standard deviation, μ is the expected value, x is each value, and p is its corresponding probability.
So, we have:
σ = sqrt((0-1.3)² * 0.3 + (1-1.3)² * 0.25 + (2-1.3)² * 0.3 + (3-1.3)² * 0.15)
σ = sqrt(0.69 * 0.3 + 0.09 * 0.25 + 0.49 * 0.3 + 1.69 * 0.15)
σ = sqrt(0.207 + 0.0225 + 0.147 + 0.2535)
σ = sqrt(0.63)
σ = 0.79
Therefore, the standard deviation of the probability distribution is 0.79.
the expected value of the probability distribution is 1.3 and the standard deviation is 0.79.
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What is the additive inverse of 8,964?
The mass of an uranium atom is
3.95
×
1
0
−
22
3.95×10
−22
grams. The mass of an oxygen molecule is
5.31
×
1
0
−
23
5.31×10
−23
grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.
For the given mass of uranium molecule and oxygen molecule, we can conclude that mass of an uranium atom is 7.44 times greater than mass of an oxygen molecule.
The mass of an uranium atom is = 3.95×10⁻²² grams and
The mass of an "oxygen-molecule" is = 5.31×10⁻²³ grams,
To find how many times greater the mass of an uranium atom is than the mass of an oxygen molecule, we divide the mass of the uranium atom by the mass of the oxygen molecule:
On dividing,
We get,
⇒ (3.95×10⁻²²) / (5.31×10⁻²³) ≈ 7.44
Therefore, mass of uranium-atom is 7.44 times than mass of an oxygen-molecule.
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The given question is incomplete, the complete question is
The mass of an uranium atom is 3.95×10⁻²² grams. The mass of an oxygen molecule is 5.31×10⁻²³ grams. How many times greater is the mass of an uranium atom than the mass of an oxygen molecule? Write your answer in standard notation, rounding to the nearest tenth.
What is the equation of the parabola with the vertex of (1,-8) that passes through (2,-6)
Hello!
What is the standard form of the parabola:
\(\hookrightarrow y=(x-h)^2+k\)
(h,k): vertex's coordinate=> h: x-coordinate of vertex
=> k: y-coordinate of vertex
Since our vertex is (1,-8)
\(\hookrightarrow \text{Our equation is }y=(x-1)^2}-8\) <== Answer
Hope that helps!
please help i don’t understand
Answer:
f(x) = 4x + 3
Step-by-step explanation:
plug in some x values to test:
4(0) + 3 = 0 + 3 = 3
4(3) + 3 = 12 + 3 = 15
4(6) + 3 = 24 + 3 = 27
it checks out
Answer:
It would be the last one
Step-by-step explanation:
here are the coirdantes:
0-3
3-15
6-27
9-39
So if u try the first one
f(x)=x+3
3(1)=3
3+3=9
So it does not work
The second choice:
f(x)=-4x-3
3(-4)
-12-3=-15
It does not work
The third choice:
f(x)=1/4x+3
3(1/4)=3/4
3/4+3=3 3/4
The last one:
f(x)=4x+3
9(4)=36
36+3=39
As you can see the last one works
I hope this helped :D
(Fyi you can use your graphing calculator: (Ti-38))
Ella made a checker board. Each individual square has a side with a length of x + 3. Find the area of the ENTIRE board in terms of x if each side of the board is made up of 6 congruent squares.
Answer:
Total area of board = 36x² + 324 + 216x
Step-by-step explanation:
Given:
Side of square = x + 3
Total number of square = 6 x 6 = 36
Area of each square = Side x Side
Area of each square = (x + 3)²
Area of each square = x² + 9 + 6x
Total area of board = 36[Area of each square]
Total area of board = 36[x² + 9 + 6x]
Total area of board = 36x² + 324 + 216x
solve for x:3^x+1 = 9^x.1/27
Answer:
9^(x)=(1)/(27)
Step-by-step explanation:
Please help I can’t figure out the answer
Answer: A
Step-by-step explanation: so in goes up by 5 and out goes up by 1 which i think makes 5x and the first one is 0,9 so f(x)=5x+9
A bag contains 40 cards of five different colors. The probability of selecting each color is listed in the chart.
How many orange cards does the bag contain?
A. 1 orange card
B. 5 orange cards
C. 8 orange cards
D. 32 orange cards
Answer:
c
Step-by-step explanation:
What is the slope of a line perpendicular to the line in the graph
-2/3
3/2
-3/2
2/3
PLS ANSWER ASAP
Answer:
3/2
Step-by-step explanation:
opposite inverse
Tamarisk company began operations on january 2, 2019. It employs 9 individuals who work 8-hour days and are paid hourly. Each employee earns 9 paid vacation days and 7 paid sick days annually. Vacation days may be taken after january 15 of the year following the year in which they are earned. Sick days may be taken as soon as they are earned; unused sick days accumulate. Additional information is as follows. Actual hourly wage rate vacation days used by each employee sick days used by each employee 2019 2020 2019 2020 2019 2020 $6 $7 0 8 5 6 tamarisk company has chosen to accrue the cost of compensated absences at rates of pay in effect during the period when earned and to accrue sick pay when earned
The total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
To calculate the cost of compensated absences for Tamarisk Company, we need to calculate the number of vacation days and sick days earned by the employees in 2019 and 2020, and then calculate the cost of the days earned but not taken.
Each employee earns 9 vacation days per year. As they can be taken after January 15th of the year following the year in which they are earned, the vacation days earned by the employees in 2019 can be taken in 2020. Therefore, in 2019, no vacation days were taken by any employee.
In 2020, the employees took a total of 8 vacation days. As there are 9 employees, the total vacation days taken in 2020 were 9 x 8 = 72.
Sick Days:
Each employee earns 7 sick days per year, and unused sick days accumulate. In 2019, the employees used a total of 5 sick days. Therefore, the unused sick days at the end of 2019 were 9 x 7 - 5 = 58.
In 2020, the employees used a total of 6 sick days, and the unused sick days at the end of 2020 were 58 + 9 x 7 - 6 = 109.
To find the cost of compensated absences. The unused sick days and vacation days must be multiplied to get the hourly wage rate in effect in a year.
In 2019, the cost of compensated absences was 58 x $6 = $348.
In 2020, the cost of compensated absences was (72 + 109) x $7 = $1,399.
Therefore, the total cost of compensated absences for Tamarisk Company for the years 2019 and 2020 was $348 + $1,399 = $1,747.
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The two triangles shown have the same perimeters. What is the perimeter of each triangle
Answer:
28 units
Step-by-step explanation:
Since the perimeter of both triangles is same,
the sum of all sides of first triangle = sum of all sides of second triangle
or, 6x + 3 + 2x + 4x = 5x + 5x + 3x + 2
or, 12x + 4 = 13x + 2
or, 4-2 = 13x - 12x
or, 2 = x
Now,
Putting the value of x in the perimeter of first triangle,
12x + 4= 12* 2+ 4
= 28 units
s less than the quotient of u and t
The expression s less than the quotient of u and t can be written as (u / t) - s
QuotientThe quotient of an expression is the result of dividing one value by another. For instance, the quotient of 6 and 2
= 6 / 2
= 3
So,
s less than the quotient of u and t
quotient of u and t= u / t
s less than the quotient of u and t= (u / t) - s
Therefore, the expression s less than the quotient of u and t can be written as (u / t) - s.
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Which of these transformations is not linear? the input is vector v= (v1, v2)
A. T(v) = (v2, v1)
B T(v) = (v1, v1)
c. T(v) = (0, v1)
d. T(v) = (0, 1)
e. T(v) = v1 - v2
f. T(v) = v1v2
A transformation T is linear if it satisfies two properties:
T(u+v) = T(u) + T(v) for any vectors u and v
T(cu) = cT(u) for any scalar c and any vector u.
Let's check each of the given transformations:
A. T(v) = (v2, v1)
T(u + v) = ((u+v)2, (u+v)1) = (u2+v2, u1+v1)
T(u) + T(v) = (u2, u1) + (v2, v1) = (u2+v2, u1+v1)
T(cu) = (cu2, cu1) = c(u2, u1) = cT(u)
So, T(v) = (v2, v1) is a linear transformation.
B. T(v) = (v1, v1)
T(u + v) = (u1+v1, u1+v1)
T(u) + T(v) = (u1, u1) + (v1, v1) = (u1+v1, u1+v1)
T(cu) = (cu1, cu1) = c(u1, u1) = cT(u)
So, T(v) = (v1, v1) is a linear transformation.
C. T(v) = (0, v1)
T(u + v) = (0, u1+v1)
T(u) + T(v) = (0, u1) + (0, v1) = (0, u1+v1)
T(cu) = (0, cu1) = c(0, u1) = cT(u)
So, T(v) = (0, v1) is a linear transformation.
D. T(v) = (0, 1)
T(u + v) = (0, 1)
T(u) + T(v) = (0, 1)
T(cu) = (0, 1) = T(v) for any scalar c and any vector u, so T(v) = (0, 1) is a linear transformation.
E. T(v) = v1 - v2
T(u + v) = (u1+v1) - (u2+v2) = (u1-u2) + (v1-v2)
T(u) + T(v) = u1 - u2 + v1 - v2
T(cu) = c(u1 - u2) = cT(u)
So, T(v) = v1 - v2 is a linear transformation.
F. T(v) = v1v2
T(u + v) = (u1+v1)(u2+v2) = u1u2 + u1v2 + v1u2 + v1v2
T(u) + T(v) = u1u2 + v1v2
T(cu) = (cu1)(cu2) = c^2(u1u2) ≠ cT(u) for c ≠ 1, so T(v) = v1v2 is not a linear transformation.
Therefore, the transformation that is not linear is F. T(v) = v1v2.
The transformation T(v) = v1 - v2 is not linear. The transformation T(v) = v1 - v2 is the only one among the given options that is not linear.
A transformation is considered linear if it satisfies two properties: preservation of vector addition and preservation of scalar multiplication. In other words, if T(u + v) = T(u) + T(v) and T(c * v) = c * T(v), where u and v are vectors and c is a scalar. Let's analyze each given transformation to determine if it is linear:
A. T(v) = (v2, v1): This transformation swaps the components of the vector v. It preserves vector addition and scalar multiplication, so it is linear. B. T(v) = (v1, v1): This transformation sets both components of the vector v to the same value. It also preserves vector addition and scalar multiplication, so it is linear. C. T(v) = (0, v1): This transformation fixes the first component of the vector v to zero. It satisfies both properties of linearity, so it is linear. D. T(v) = (0, 1): This transformation fixes the first component of the vector v to zero and the second component to one. It also satisfies both properties of linearity, so it is linear. E. T(v) = v1 - v2: This transformation subtracts the second component from the first component of the vector v. It does not preserve scalar multiplication, as T(c * v) ≠ c * T(v) for all scalar values c. Therefore, it is not a linear transformation. F. T(v) = v1v2: This transformation multiplies the components of the vector v. It also fails to preserve scalar multiplication, so it is not a linear transformation.
In conclusion, the transformation T(v) = v1 - v2 is the only one among the given options that is not linear.
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"If you have 2 pieces of spaghetti that have lengths 4 cm and 10 cm, what could be the possible length of a third piece of spaghetti to complete the triangle?"
and it has to have "cm < x <"
Answer:
6 < third side < 14
Third side must be greater than 6 and less than 14
Step-by-step explanation:
A triangle can be formed from 2 sides of any length.
The third side must be longer than the difference of the other 2 sides and
the third side must be less than the sum of the other 2 sides.
I had a quiz with the same question and got an A
Hope this helps! :)
HELP PLEASE TELL ME WHICH ONE WITH AN EXPLAINATION
Answer:
Im not sure, but i think it's the bottom because there not working with negatives
Step-by-step explanation:
Don't put that as the answer tho, im not too sure.
Answer:
The second one
Step-by-step explanation:
Since it is (x - 9), an infinety is never negative because it is a continuously number so the second one is the most sensible answer
Hope this helps!
Find the missing length. = √ [?] 9 C C= 10 Pythagorean Theorem: a2 + b² = c²
The value of the missing length is c = √181
How to determine the missing length?From the question, we have the following parameters that can be used in our computation:
Legs = 9 and 10
Hypotenuse = c
The missing length of the triangle can be calculated using the Pythagorean Theorem represented as a² + b² = c²
So, we have the following equation
c² = 9² + 10²
Evaluate the sum of squares
c² = 181
Take the square root of both sides
c = √181
Hence, the missing length is c = √181
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A cone has a volume of 923.16 cubic meters and a height of 18 meters. What is its radius?
ANYONE KNOW?!!!???this
Answer:
7
Step-by-step explanation:
Cuz 11 - 7 = 4
How many triangles can be formed with segments measuring 4.7 m, 1.6 m, and 2.9 m?
A. None
B. One
C. More Than One
Answer:
A. none is the answer
Answer:
I would say none
Step-by-step explanation:
HELPPPPPP ASAPT-T round 14.54023 to the nearest whole number
Answer:
15
Step-by-step explanation: