If original question was you are debating about two different computers. The number of hours you have to work to pay for the new computer is: 89 hours.
How to find the number of hours?Before determining the number of hours we have to first of all find the FICA ,Federal tax withholding and state tax rate per hour.
FICA = $10 per hour × 0.0765
FICA= $0.77 per hr
Federal tax withholding = $10 per hr × 0.12
Federal tax withholding = $1.2 per hr
State tax= $10 per hr × 0.08
State tax = $0.8 per hr
Number of hours = $640 / ($10 -$0.77 - $1.2-$0.8)
Number of hours = $640 / $7.23 per hr
Number of hours = 88.5 hours
Number of hours = 89 hours (Approximately)
Therefore the number of hours is 89 hours.
Learn more about number of hours here:https://brainly.com/question/21289653
#SPJ1
If triangle xyz is translated using the rule (x, y) → (x − 3, y − 2) and then reflected across the y-axis to create triangle x″y″z″, what is the location of z″? (−7, 1) (−3, −1) (−1, −3) (3, 3)
The location of the y-axis to create a triangle is a(0,2).
So if the point X is (-3, -2) is translated using the rule
x,y ---> (x+3),(y+4)
then you simply plug-in the values of x and y which are x = -3 and y = -2
x,y ---> ((-3) +3), ((-2) + 4) which is (0, 2)
This is the new coordinate for X
so the answer is a(0,2).
What is a triangle?
A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is represented as triangle ABC.
In Euclidean geometry, any three points, if not collinear, define a unique triangle and, at the same time, a unique plane (that is, two-dimensional Euclidean space). That is, there is only one plane containing this triangle, and all triangles are contained in one plane. If all geometries were just Euclidean planes, there would be only one plane and all triangles would be in it. But this is not the case in high-dimensional Euclidean space.
Therefore, the location of the y-axis to create triangle is a(0,2).
To know more about triangles, check out:
https://brainly.com/question/1058720
#SPJ4
Each week, Tasha saves 60% of the money she earns babysitting and spends the rest. This week she
earned $60.00
How much more money did she save than spend this week?
Helppppp, I don’t know what to do, I just really need the answer
The completed statement on the exponential model that fits the data in the question is presented as follows;
The exponential model indicates that the plastic production has a 7.88% growth per year. The model predicts that the production 15 years after 1960 was closest to 30 million metric tons, because the correlation coefficient indicates a strong correlation between the model and the data, this prediction is correct.
What is a correlation coefficient?The correlation coefficient is an indication of the level at which the variables are interdependent.
The table of values in the question can be entered into a spreadsheet application as follows;
In the spreadsheet application, enter Year since 1960 values in a column, and the Plastic Production in an adjacent columnSelect the all the data entered into the spreadsheet document such as MS Excel, then select the Insert tabIn the charts section select scatter plot to create a scatter plot of the dataIn the Design tab, that appears when the chart is selected, select the Add Chart Element button access the Trendline functionSelect the Exponential trendline from the menu for trendlinesThe exponential trendline is then created by the spreadsheet applicationThe equation for the trendline obtained from MS Excel is presented as follows; f(x) = 9.2179·e^(0.0788·x)
The growth rate from the above exponential function is 7·88% per year
The production 15 years after 1960 is therefore;
f(15) = 9.2179·e^(0.0788 × 15) ≈30.06
The number of plastic produced 15 years after 1960 is about 30 million metric tons
The correlation coefficient obtained from MS Excel is R² = 0,9157, which indicates a strong correlation between the data and the model
The prediction is correct based on the strong correlation between the year and the number of plastic produced.
Learn more about exponential functions in mathematics here:
https://brainly.com/question/11464095
#SPJ1
Find x and y values that make both y=−2/3x+3 and y=2x−5 true.
What is the ordered pair for your solution?
The ordered pair is (3, 1) which is the intersecting point of these two equations.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, are two equations y = -(2/3)x + 3 and y = 2x - 5.
Now the solution to this system is the common intersecting point of these equations.
With the help of graphing we conclude that the intersecting point is (3, 1) and so is the solution.
learn more about the system of equations here :
https://brainly.com/question/17267403
#SPJ1
Use the zero-product property to solve the equation.
(x + 3)^2 = 0
What is the formula for simple interest
Answer: The formula for simple interest is P*R*T/100
Step-by-step explanation: Where P stands for Principal and R for Rate T for Time
can someone help me on this please find X and y
Using substitution and graphical method, the solution to the linear equation (x, y) are (3, 9)
System of Linear EquationThe system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables.
In this problem, we can either solve it via substitution method or graphical method.
y = 3x ...eq(i)
y = x + 6 ...eq(ii)
From equ(i)
y = 3x; put equation (i) into (ii)
3x = x + 6
collect like term
3x - x = 6
2x = 6
x = 3
Put x = 3 in either eq(i) or (ii)
y = x + 6
y = 3 + 6
y = 9
The solution to the linear equations (x, y) are (3. 9)
Plotting this on a graph, we would have the intersection at (3, 9)
learn more on system of linear equation here;
https://brainly.com/question/13729904
#SPJ1
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
Answer:
A
Step-by-step explanation:
Eliminate B and C because they don't pass through (0,1).
Eliminate D because it doesn't decrease quickly enough.
Select all correct answers. one solution to a quadratic equation is . what is true about any remaining solutions? there are at least two more real solutions. there are no other real solutions. there is exactly one complex solution. there are two or more complex solutions. there are no complex solutions. there is exactly one more real solution.
There is exactly one more real solution or there is exactly one more complex solution
Given,
One solution to a quadratic equation is x = -5/3
We have to find the correct statements from the given ones;
A polynomial of degree two is a quadratic equation.
This implies that a polynomial has two solutions.
We already have an answer to the query, which is a true root.
Then, the additional response that we lack can appear in the form of two responses.
It may be a real root or a complicated root, depending on the situation.
The following is the response to this query:
There is exactly one more real solution or there is exactly one more complex solution
Learn more about quadratic equation here;
https://brainly.com/question/18361805
#SPJ4
An orange grower harvested oranges from 4 acres of land and collected 720 bushels of oranges. The next day, the farmer harvested oranges from 7 acres of land and collected 1,260 bushels of oranges.
Is there a proportional relationship between the number of bushels of oranges collected and the number of acres harvested over the two days? Explain.
Yes, there is a proportion relationship between the number of bushel and acres of land. The relationship is the number of busher is directly proportional to the number of acres of land.
What is direct proportion?Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value.
direct proportion is given as y= kx
Where y and x are the variables and k is constant.
If the bushel of orange is given by x and the acres of land by y
then x= ky
for the expression to be correct the value of k should be thesame
when x= 720 and y = 4
k= x/y
k= 720/4= 180
when x= 1260 and y= 7
k= x/y
k= 1260/7
k= 180
therefore the x is directly proportional to y
learn more about direct proportion fromhttps://brainly.com/question/21680485
#SPJ1
help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!help meeeeeeeeeeeeeeeeeee pleaseee!!!!
a. [tex]123.1(1.069)^3 \approx 150.4[/tex]
b. [tex]123.1(1.069)^{20} \approx 467.5[/tex]
Please help with this question, quick!
In Paul's design, C=60°, 2C=120°. These lines cannot be parallel because the angles of the lines must be the same.
What is meant by an angle?An angle in Euclidean geometry is the figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles generated by two rays are in the plane in which the rays are located. The intersection of two planes also produces angles. These are called dihedral angles.
Angle can also refer to the measurement of an angle or rotation. This metric is the length of a circular arc divided by its radius. In the case of a geometric angle, the arc is defined by its sides and is centered at the vertex.
Given that,
In Paul's design one angle is C and the another angle is 2C.
As we know that,
By linear pair axiom that in a straight line,
C+2C=180°
3C=180°
C=180°/3
C=60°
And 2C=120°
These lines cannot be parallel because the angles of the lines must be the same.
To know more about angle, visit:
https://brainly.com/question/28451077
#SPJ1
A drawing ha a cale of 1:30. An a drawing, a kitchen i a rectangle meauring 12cm by 27cm. A bedroom ha an actual area of 300000cm
which ha the bigger actual area, the kitchen or the bedroom?
you mut how your working
Actual area of bedroom is bigger than the kitchen as per the given measurements and scale.
As per the given question,
Given drawing scale is:
1 : 30
Shape of the kitchen is rectangle with measurements = 12cm by 27cm
Using scale :
Length = 12cm
Actual length = 12 × 30
= 360cm
Width = 27cm
Actual width = 27 × 30
= 810 cm
Actual area of kitchen = 360 × 810
= 291,600 cm²
Actual area of bedroom = 300,000cm²
300,000 > 291,600
Actual area of bedroom > Actual area of kitchen
Therefore, actual area of bedroom is bigger than the actual area pf kitchen.
The complete question is:
A drawing has a scale of 1:30 On the drawing, a kitchen is a rectangle measuring 12 cm by 27 cm A bedroom has an actual area of 300 000 cm² Which has the bigger actual area, the kitchen or the bedroom? You must show your working.
Learn more about area here
brainly.com/question/27683633
#SPJ4
Are the numbers 13 and 20 integers 
Answer:
yes they are integers
Step-by-step explanation:
they are whole numbers
Answer: yes
Step-by-step explanation:
Help me please, I don’t understand this question.
The average rate of change of the function:
f(x) = x^2 + 7x + 9
On the interval [-9, 0] is -2.
How to find the average rate of change?
For any function f(x), we define the average rate of change on an interval [a, b] as:
r = ( f(b) - f(a))/(b - a)
In this case, the function is:
f(x) = x^2 + 7x + 9
And the interval is -9 ≤ x ≤ 0, it can also be written as [-9, 0]
Evaluating the function in the extremes of the interval we get:
f(0) = 0^2 + 7*0 + 9 = 9
f(-9) = (-9)^2 + 7*(-9) + 9 = 27
Then the average rate of change is:
r = ( f(0) - f(9))/( 0 - (-9)) = (9 - 27)/(9) = -18/9 = -2
The average rate of change is -2.
Learn more about rates of change:
https://brainly.com/question/8728504
#SPJ1
i have lost, just help
The age of Jane is [tex]16\frac{5}{12}[/tex] years old.
How to find the age of Jane?Lydia is [tex]13\frac{5}{6}[/tex] years old . Morgan is [tex]1\frac{1}{3}[/tex] years older than Lydia.
Therefore,
age of Morgan = [tex]13\frac{5}{6} + 1\frac{1}{3} = \frac{83}{6}+\frac{4}{3}=\frac{83+8}{6} =\frac{91}{6}=15\frac{1}{6}[/tex] years
Jane is [tex]1\frac{1}{4}[/tex] years older than Morgan.
Therefore,
Age of Jane = [tex]15\frac{1}{6} + 1\frac{1}{4}[/tex]
Age of Jane = [tex]\frac{91}{6}+ \frac{5}{4}[/tex]
Age of Jane = [tex]\frac{364+30}{24}[/tex]
Age of Jane = [tex]\frac{394}{24}[/tex]
Age of Jane = [tex]16\frac{10}{24}[/tex]
Age of Jane = [tex]16\frac{5}{12}[/tex] years old
learn more on ages here: https://brainly.com/question/12736565
#SPJ1
what does it mean for two shapes to be proportional.
Answer:
It means that the quantities have the same relative size. In other words they have the same ratio.
Step-by-step explanation:
For example look at the attached files
Julian sells 4 pieces of artwork for $72, and each piece is sold at the same rate.
How much does one piece of Julian's artwork cost?
Enter your answer as a number, like this: 42
Answer: 18
Step-by-step explanation: 72 divided by 4= 18
the gram-schmidt process produces from a linearly independent set {x1, x2, . . . , xp} an orthogonal set {v1, v2, . . . , vp} with the property that span{v1, . . . , vk}
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.
Given that,
From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.
Whether the claim is true or false must be determined.
The statement is true.
An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.
To learn more about orthogonal visit: https://brainly.com/question/2292926
#SPJ4
Question
Solve for m.
m+1/3<−2 1/4
m>−2 7/12
m<−2 7/12
m<−1 11/12
m>−1 11/12
The expression m < - 2 7/12 solved for m is m < - 2 7/ 12. Option B
What are inequalities?Inequalities are described as a relation which making an unequal comparison between two numbers or expressions.
It is mostly used to compare two numbers on the number line on the basis of their size.
Given the expression;
m+1/3<−2 1/4
Covert to improper fraction
m + 1/ 3 < -9/4
Now, collect like terms
m < - 9/ 4 - 1/3
Find the lowest common multiple
m < -27 - 4 /12
m < -31/ 12
convert to mixed fraction
m < - 2 7/ 12
Hence, the value is m < - 2 7/ 12
Learn more about inequalities here:
https://brainly.com/question/25275758
#SPJ1
select all that are equal to 6^4(6^-5)
The options that are equal to 6⁴/(6⁻⁵) using laws of exponents are;
b. 1/6
c. 6^-1
d. 1/6^1
How to use laws of exponents?The laws of exponents are;
Product of powers rule.Quotient of powers rule.Power of a power rule.Power of a product rule.Power of a quotient rule.Zero power rule.Negative exponent rule.The exponent we are supposed to solve is;
6⁴/(6⁻⁵)
According to laws of exponents, we know that;
x³/x² = x^(3 - 2)
Thus;
6⁴(6⁻⁵) = 6^(4 + (-5)) = 6^(-1) = 1/6
Read more about Laws of exponents at; https://brainly.com/question/11761858
#SPJ1
Complete question is;
Select all the are equal to 6^4(6^-5)
a. 1\6^-1
b. 1/6
c. 6^-1
d. 1/6^1
e. 1/-6
What is the slope that passes through (1,2) and (2,6)
Answer:
4
Step-by-step explanation:
use slope formula y2-y1/x2-x1
6-2/2-1
4/1
4 is the slope
Hopes this helps please mark brainliest
15 reduced from triple a number is at minimum 129.
Answer: 48
Step-by-step explanation:
3x - 15 > 129
3x > 129 + 15
3x > 144
x > 144/3
x> 48
Simplify the expression. negative 15 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 3 squared minus 4 and 7 tenths
Using mathematical operators, the expression [15 + x - 3 7/10 + 9 15/100] ÷ [5x × 3² - 4 7/100] is simplified as [5(20x + 409)] / 4500x - 407
ExpressionAn expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.
In this problem, we have to first of all write out the words and expression in mathematical form. To do this, we have to apply mathematical operators like addition, subtraction, multiplication and division.
This can be rewritten as:-
[15 + x - 3 7/10 + 9 15/100] ÷ [5x × 3² - 4 7/100]
Simplifying this, we have;
[5(20x + 409)] / 4500x - 407
Learn more on expression here;
https://brainly.com/question/4344214
#SPJ1
ABCD is a rectangle, where AB= x cm and
BC is 1.5 cm less than AB.
If the area of the rectangle is 52 cm³, form
an equation in x and solve it to find the
dimensions of the rectangle.
Answer:
AB = 8cm ; BC = 6.5 cm
Step-by-step explanation:
BC = x- 1.5
x * (x-1.5) = 52
x^2 - 1.5x - 52 = 0
Discriminant = 2.25 -4(-52) = 2.25 + 208 = 210.25
We are searching only positive value
(1.5 + 14.5)/2 = 16 / 2 = 8 cm
AB = 8 cm
BC = 8 - 1.5 = 6.5 cm
What is 3x+6 I don’t know what this is
Answer:
it is a function.
Step-by-step explanation:
The answer is just 3x+6
Answer:
3x+6 can be be the result of 3(x+2) and then you distribute to get 3x+6
If you are asking how to solve you need an equal sign in the equation for example: 3x+6=27 you would have to solve to figure out wht x is. x is any unknown number we use x or any letter in the alphabet to fill in. You have to olve for the variable now.
A General Rule for Solving Equations
Simplify each side of the equation by removing parentheses and combining like terms.
Use addition or subtraction to isolate the variable term on one side of the equation.
Use multiplication or division to solve for the variable.
Step-by-step explanation:
i need help quick!
this is my last attempt on this assignment and im stuck on this one question, thanks!
Answer:
41
Step-by-step explanation:
y = 4x + 21 plug in 5 for x
y = 4(5) + 21
y = 2-0 + 21
y = 41
Which of the following are essential elements of hypothesis testing?
-It uses probability theory to determine if a hypothesis is a reasonable statement.
-It makes use of sample data.
The following are crucial factors in hypothesis testing:
It employs probability theory to evaluate if a hypothesis is a valid claim.It employs sample data.Explain the term hypothesis testing?In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test.
The type of data being used and purpose of the study will determine the methodology the analyst uses. A basic hypothesis can anticipate a causal relationship between variables, i.e., that one has an impact on the other. This is known as hypothesis testing, and it uses sample data to determine the plausibility of a hypothesis.It is a technique for analysis that evaluates presumptions and establishes the likelihood of something based on a predetermined level of accuracy. Testing hypotheses offers a technique to determine whether the outcomes of an investigation are reliable.Thus, before conducting the hypothesis testing, a null hypothesis as well as an alternative hypothesis are established.
To know more about the hypothesis testing, here
https://brainly.com/question/4232174
#SPJ4
a spring has a spring constant of 283 n/m. how far is the spring compressed to the right if 129 n of force are used
The spring is compressed to 95.5 cm to the right if 129 N of force are used.
In this question, we have been given the spring constant k = 283 N/m
if 129 N of force are used then we need to find distance that the spring compressed to the right.
Let the spring stretch from the equilibrium position x.
An equation for the spring's potential energy is,
PE = 1/2 kx^2
129 = 1/2 * 283 * x^2
2 * 129 = 283 * x^2
258/283 = x^2
x^2 = 0.9117
x = 0.9548 m
x = 95.5 cm
Therefore, the spring is compressed to 95.5 cm to the right if 129 N of force are used.
Learn more about equation here:
https://brainly.com/question/649785
#SPJ4
what is a x b when a=7 and b=9
Answer:
89
Step-by-step explanation:
if u divide and multiply theory is equivalent to its nominal answer thus your answer will be 89
