The gross pay for this week after working overtime is $471.75.
What is the overtime pay rule?
The civil overtime vittles are contained in the Fair Labor norms Act, Unless pure, workers covered by the Act must admit overtime pay for hours worked over 40 in a workweek at a rate not lower than time, and That's an illustration of total pay for a hand who worked 42 hours in a workweek Regular pay rate x 40 hours = Regular pay, plus. Regular pay rate x1.5 x 2 hours = Overtime pay, equals.
Usual earning Earning = $8.5 for 30 hours for a week
Overtime = 47 hours-30 =17 hours
Overtime rate = $8.5 + $8.5/2 = $ 12.75 for hour for a week
Gross pay= ($8.5*30)+($12.75*17)
= 255 + 216.75
= 471.75.
The gross pay for this week after working overtime is $471.75.
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Tyra launches a rocket in the air, and her physics teacher told her if h is height and t is time, she can find the height of the rocket at any given time using: h(t)= -16t^2+50t
Interpret the meaning of the point (3.125,0) in terms of the problem situation
The points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
How to determine the value
Given the function;
h(t)= -16t^2+50t
Where;
h is the height of the rocket t is the time taken to reach the heightThe time interval to reach the height of the rocket is ( 3. 125 , 0)
Time interval, t = 0 - 3. 125
Time interval, t = -3. 125
Substitute the value into the formula
h(t) = - 16(-3. 125)² + 50(-3. 125)
h(t) = -16(9. 765) - 156. 25
h(t) = - 156. 25 - 156. 25
h(t) = -312. 5 feet
Thus, the points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet
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5 x=10
if u have 5 apple and 10 cakes how many do u come up with
Answer:
x = 2
Step-by-step explanation:
Equation: 5x = 10
--- Divide 5 on both sides
x = 2
This means that each apple can make 2 cakes.
Answer: 2
Step-by-step explanation: because if u divide both sides by 5
Reasoning true or false: if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution. explain your reasoning.
False, if an augmented square matrix in row-echelon form has a row of zeros as its last row, then the corresponding system of equations has no solution.
A square matrix with a row of zeroes means that one variable can be written as a linear combination of the other variables.What does the term "echelon form" mean?
If a matrix in linear algebra has the shape that comes from a Gaussian elimination, it is said to be in echelon form. When a matrix is in row echelon form, Gaussian elimination has been applied to the rows, and when it is in column echelon form, Gaussian elimination has been applied to the columns.What purpose does echelon matrix serve?
By reducing a complex matrix to a simple matrix, the Echelon Form of a matrix can be utilized to solve a linear equation. If a matrix meets certain criteria, which we'll go over in this post, it is said to be in an echelon form.Learn more about echelon form
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Ms. Wells has 16 Pokemon cards, she left 12 of her cards at home. What is the fraction of Pokemon cards she left at home? Answers should be in simplest form.
Group of answer choices
6/18
12/16
3/4
1/12
Answer: 3/4
Step-by-step explanation: because 12/16 simplified is 3/4
I went to a toy shop and bought a toy car which costs $16.80, but there was a 20% discount. how much did I pay?
Step-by-step explanation:
16.80 - 20% of 16.80 = 13.44
you paid 13.44$
Answer:
=13.44
Step-by-step explanation:
0.20×16.80=3.36
16.80-3.36=13.44
both my numerator and my denomiater are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
I am the fraction 28/40.
It is given in the question that my numerator and denominator are even numbers. Also, the sum of the numbers is 68 and the fraction I am is equivalent to 7/10.
We have to find the fraction which I am.
Let the fraction I am be 7x/10x.
According to the data given in the question, we can write,
7x + 10x = 68
17x = 68
x =68/17
x = 4
Hence, both the even numbers are :-
7x = 7*4 = 28, and
10x = 10*4 = 40
Hence, the fraction which I am is 28/40.
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The stadium is to be renovated with a new seating capacity of 20790 seats.after the renovation what will be the percentage increase in the number of seats
Although part of your question is missing, you might be referring to this full question: The stadium has 15400 seats and it is to be renovated with a new seating capacity of 20790 seats. After renovation what will be the percentage increase in the number of seats?
The initial capacity of the stadium = 15400 seats
Planned new capacity = 20790 seats
Increment in the number of seats = 20790 - 15400 = 5390 seats
Percentage increase in the number of seats = (Increment in seats/Initial capacity of the stadium)*100
Therefore,
(5390/15400)*100 = 0.35*100 = 35%
So the percentage increase in the number of seats after renovation will be 35%
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an example of a unti price youd find in germany-
Can someone help me with this problem? Thank you!
Each 3 sisters intends to pay an equal share of the cost of a christmas gift for their mother. the total cost of the gift including tax is $25.50 how much should each sister pay?
Answer:
$8.50
Step-by-step explanation:
This is a division problem.
You need to divide $25.50 by 3.
25.5/3 = 8.5
Answer: Each sister pays $8.50.
Answer:
$8.50
Step-by-step explanation:
Since the gift is $25.50, including tax, and there are three sisters, divide the cost of the gift ($25.50) by the number of sisters (3) to find how much each one of them has to pay.
25.50 ÷ 3
= $8.50
Each sister should pay $8.50.
Have a lovely rest of your day! :)
A rectangular piece of metal is 15 in longer than it is wide. squares with sides 3 in long are cut from the four
corners and the flaps are folded upward to form an open box. if the volume of the box is 1782 in2, what were the
original dimensions of the piece of metal?
The original dimensions of the piece of metal are 39 inch by 24 inches.
Let the breadth of the rectangular piece be b inches.
Hence, according to the data given in the question,
Length of the rectangular piece will be (b + 15) inches.
After 4 squares of 3 inches each are cut from the corners of the rectangular piece, the length and breadth of the piece becomes:-
Length = b + 15 - 3 - 3 = (b + 9) inches
Breadth = b -3 -3 = (b - 6) inches
The height of the subsequent open box made will be 3 inches.
We have,
Volume of the cuboidal open box = 1782 cubic inches.
Also, we know that,
Volume of cuboid = l*b*h
Where,
l is the length,
b is the breadth, and
h is the height
Hence,
(b+9)(b-6)(3) = 1782 cubic inches
(b+9)(b-6) = 1782/3 = 594
We can write 594 as 33*18
Hence,
(b+9)(b-6) = 33*18
b+9 = 33 or b-6 = 18
b = 33-9 = 18+6 = 24
Hence, the original dimensions are :-
b + 15 = 24 + 15 = 39 inches, and
b = 24 inches
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One of the radioactive isotopes used in chemical and medical research is iodine-125, which has a half-life of 61 days. how long would it take for 0.25 g to remain of a 1.00 g sample of iodine-125?
Answer:122 days
Step-by-step explanation:
how much do we pay for the mesh around the garden, which has a shape of a square measuring 25m and one ordinary meter of mesh costs 23 euros.
The cost of the mesh measuring 25 m is 2300 euros .
The perimeter of a square is that the distance lined by its four sides. Perimeter surrounds or outlines the form in a very two-dimensional plane.Since all the edges of a sq. square measure equal, therefore, the perimeter of sq. are four times its aspect, i.e. 4 × Side.The perimeter of the sq. is outlined because the total length of the boundary of a sq.. we want to feature all the edges of sq. to seek out its perimeter. By the formula of perimeter of polygonal shape, we know;
Perimeter = add of all sides
Perimeter of sq. = add of the lengths of four sides
= aspect + aspect + aspect + aspect
= 4 × side
First , we will calculate the the perimeter of the square
Perimeter of square = 25 × 4.
= 100 m
Total cost = perimeter required × cost per meter .
Cost of mesh = 100 × 23
= 2300 euros
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I need help with this asap
The function rules for each of the given tables are;
11) f(x) = 4x
12) f(x) = x - 3
13) f(x) = x + 12
14) f(x) = x/10
15) This doesn't have a function rule.
16) Function rule here is non existent
How to state the required function rule?
11) In this table, we can observe that the output values are all four times the input value. Thus, the function rule here is;
f(x) = 4x
12) In this table, we can observe that the output values are all 3 units less than the input value. Thus, the function rule here is;
f(x) = x - 3
13) In this table, we can observe that the output values are all 12 units more than the input value. Thus, the function rule here is;
f(x) = x + 12
14) In this table, we can observe that the output values are equal to the input value divided by 10. Thus, the function rule here is;
f(x) = x/10
15) This doesn't have a function rule as the values don't match a pattern
16) Function rule here is non existent
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Factorise 6-x^2
will award brainliest to correct answer.
Answer:
the question should have something in between 6 and x
i’m confused please help
the points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 5 : 3. if LO = 11, find NO
Answer:
5
Step-by-step explanation:
Answer:
LM:MN:
NO =3:
3N
Step-by-step explanation:
13. jewelry marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads. write an expression
in simplest form that represents the total number of beads in her bracelet
design.
The simplest expression that represents the total number of beads in her bracelet design is 2b + 7.
Expression:
An expression is the sentence with a minimum of two numbers or variables and at least one math operation.
This math operation can be addition, subtraction, multiplication, or division.
The structure of an expression is:
Expression = (Number/variable, Math Operator, Number/variable)
Given,
Jewelry Marena is using a certain number of blue beads in a bracelet
design. she will use 7 more red beads than blue beads.
Here we need to write an expression in simplest form that represents the total number of beads in her bracelet design.
Assign a variable for the unknown value.
Let b be the number of blue beads for the bracelet.
The number of red beads will be represented as b + 7.
Determine the expression for the total number of beads.
Then we can written it as,
=> b + (b +7)
=> 2b + 7.
Therefore, the total number of beads can be written as 2b + 7.
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of her loan?
10. Britta has been accepted into a 2-year medical assistant program at a career school. She has
been awarded a $6,000 unsubsidized 10-year federal loan at 4.29%. She knows she has the
option of beginning repayment of the loan in 2.5 years. She also knows that during this
nonpayment time, interest will accrue at 4.29%.
Britta made her last monthly interest-only payment on May 5. Her next payment is due on
June 5. What will be the amount of that interest-only payment?
Answer: $21.86 i just found this on the web buts its right
Given j(-8,-5) and l(6,-11) if k(r-4,2s) is the midpoint of jl which correctly gives the values of r and s?
The values of r and s is -1 and -4 respectively.
Given that:-
coordinates of j are (-8,-5)
coordinates of l are (6,-11)
coordinates of k are (r-4,2s)
Also, k is the mid-point of jl.
We have to find the values of r and s.
We know that, for (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).
Here,
(x,y) = (-8.-5)
(z,w) = (6,-11)
(r-4,2s) = ((x+z)/2,(y+w)/2)
Hence,
(r-4,2s) = ((-8+6)/2,(-5-11)/2)
(r-4,2s) = (-1,-8)
Comparing the coordinates, we get:-
r - 4 = -1
r = -1+4 =3
2s = -8
s =-8/2 = -4
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Evaluate the function.
f(x) = -4x² + 7x
Find f(5)
Answer:
-65
Step-by-step explanation:
Given ~
[tex] \tt \: f(x) = - 4 {x}^{2} + 7x[/tex]
[tex] \: [/tex]
put x=5 in given function ~
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(5) ^{2} + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = - 4(25) + 7(5)[/tex]
[tex] \: [/tex]
[tex] \tt \: f(5) = -100 + 35 [/tex]
[tex] \: [/tex]
[tex] \underline{\boxed{\red{ \tt f(5) = - 65}}}{\green✓}[/tex]
[tex] \: [/tex]
hope helps ~
If Kevin has a total of 81 hours of service, how many weeks has he volunteered?
If Kevin has a total of 81 hours of service, then he volunteered for 0.48 weeks.
As per the question statement, Kevin served as a volunteer for 81 hours.
We are required to find out the number of weeks, he volunteered his service.
To solve this question, we just need to know that a week consists of how many hours ?
We can proceed with the facts that a week consists of 7 days and each day consists of 24 hours. Therefore, a week consists of [tex](24*7)=168[/tex] hours, of which, Kevin volunteered for 81 hours.
Therefore, as per the unitary method, we get that,
168 hours make 1 week, then
1 hour makes [tex](\frac{1}{168})[/tex] weeks, and
81 hours make [tex](\frac{81}{168})=0.48[/tex] weeks approximately.
Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.To learn more about Unitary Method, click on the link below.
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If 25,197,624 hot dogs are packaged in sets of 4, how many will be left over?
Answer:6,299,406
Step-by-step explanation:
Express the mass of 49,000 molecules of oxygen in scientific notation.
grams
The scientific notation for the mass of 49,000 molecules of oxygen is 4.9 × 10⁴ grams.
How do you define the scientific notation?To transform numbers into scientific notation, use the following rule: In scientific notation, the exponent equals the number of times the decimal point must always be shifted to produce a number between 1 and 10.
The proper scientific notation format is an x 10∧b, where an is a number or decimal number with an absolute value greater or equal to one and less than ten, or 1 |a| 10.Scientific notation is a method of writing extremely large or extremely small numbers in a way that makes them easier to read as well as work with. A number formed by multiplying a number greater or equal to one but less than ten by an integral power of ten.For the given value;
= 49,000 grams
write the number such that only one digit is left to the left of decimal of the number and the remaining digits to the write are written to the power of 10
= 4.9000 × 10⁴
This could be written as;
= 4.9 × 10⁴.
Therefore, the value of the mass of 49,000 oxygen molecules in the form of scientific notation is 4.9 × 10⁴ grams.
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Suppose a population consists of 850,000 people. Which of the following
numbers of members of the population being surveyed could result in a
parameter but not a sample statistic?
A. 8500
B. Neither 8500 nor 850,000
C. Both 8500 and 850,000
D. 850,000
Answer:
what give a pasia what do in
Answer:
A. 8500
Step-by-step explanation:
All the other asnwers are correct!
Please helppppp me !,!!!!
Answer:
The last option
y = ⅓x-3
Step-by-step explanation:
Slope-intercept form :
y=mx+c
[tex]x - 3y = 9 \\ - 3y = - x + 9 \\ \frac{ - 3y}{ - 3} = \frac{ - x}{ - 3} + \frac{9}{ - 3} [/tex]
[tex]y = \frac{1}{3} x - 3[/tex]
pls help gsoehehsjbsgshsjbsfeoanevshksnevehwknsbdgsknwbsgdindvegshsn
Answer:
a) 5.9
b) 4.2
Step-by-step explanation:
Plot the data points on the number line (see attached).
Part (a)
[tex]\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}[/tex]
Part (b)
[tex]\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}[/tex]
The total number of data items with a value less than the upper limit for the class is given by the _____ distribution.
The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.
By cumulative frequency, what do you mean?Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.
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What is the area of the semicircle? Use 3.14 for pi.
150.72 mm^2
138.16 mm^2
69.08 mm^2
189.97 mm^2
The area of the semicircle with the given diameter is 189.97 mm^2
How to determine the area of the semicircle?The given parameters are
Diameter, d = 22 mm
The area of the semicircle is calculated as
A = 1/2 * pi * (d/2)^2
So, we have
A = 1/2 * 3.14 * (22/2)^2
Evaluate the expression
A = 189.97 mm^2
Hence, the area of the semicircle with the given diameter is 189.97 mm^2
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Assume that a company takes 4,500 hours to produce 15,000 units of a product. what is the cycle time for the company? (note: round answer to two decimal places.)
The cycle time for the company is 3.
What is unitary method ?Unitary method is a mathematical technique for first finding value of a single unit then determining the any value according to the given question.
According to the given question a company takes 4,500 hours to produce 15,000 units of a product we have to find the cycle time for the company which we can easily determine by using unitary method.
Given the company takes 4,500 hours to complete 15000 units
∴ In one hour he company can make 15000/4500 units which is
= 3 units per hour.
So the cycle time for the company is 3 units per hour.
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