Answer:
2,4,9,16
Step-by-step explanation:
2
4
9
16
are range because they are exactly opposite of domain
A list of consecutive integers begins with m and ends with n. If n - m = 66, how many integers are in the list?
Answer:
67.
Step-by-step explanation:
n - m = 66
The 66 includes the number m+1 up to and including n (buy not m).
So the number of integers is 66 +1 = 67
Part G
Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD
The computation shows that the year that Helike disappeared is 2248 years in between.
How to calculate the value?From the information, Helike disappearance was denoted as -1/5w. The year that civil year ended was represented as c + 1/4c.
This implies that year Helike disappeared will be:
= c + 1/4c - +-1/5w)
= 2248 years.
Here is the complete question:
The year the Greek city of Helike disappeared is -⅕ times the year the US Civil War ended. Let w represent the year the Civil War ended. Write an expression in terms of w to represent the year of Helike’s disappearance.
Part G
Use the results from Part E and Part F to determine the year Helike disappeared. Express your answer in terms of BC or AD.
Part H
Using the results from parts D through G, write an expression that represents the number of years elapsed between the disappearance of the Greek city of Helike and the end of the US Civil War. Write the expression in terms of c and w. Then solve the expression to find out how many years separate these two events.
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Handy Leather, Inc., produces three sizes of sports gloves: small, medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then sent to the Cut and Sew Department, where the glove is cut and sewed together. Handy Leather uses the multiple production department factory overhead rate method of allocating factory overhead costs. Its factory overhead costs were budgeted as follows: Pattern Department overhead
The production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.
Factory overhead ratea. Pattern Department
Factory overhead rate=Total Overhead Cost/Direct Labor Hours
Factory overhead rate= 140,700/2700
Factory overhead rate=67
Cut and sew Department
Factory overhead rate=231,400/2600
Factory overhead rate=89
b. Factory overhead per unit
Pattern Department:
Small glove=.04 x 67
Small glove=2.68
Medium glove= .05 x 67
Medium glove=3.35
Large glove= .06 x 67
Large glove=4.02
Cut and sew Department:
Small glove=.07 x 89
Small glove=6.23
Medium glove=.09 x 89
Medium glove=8.01
Large glove=.11 x 89
Large glove=9.79
Therefore the production department factory overhead rates for Cut and sew department is 89 and Pattern is 67.
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The complete question is:
Handy Leather, Inc., produces three sizes of sports gloves: small,
medium, and large. A glove pattern is first stenciled onto leather in the Pattern Department. The stenciled patterns are then sent to the Cut and Sew Department, where the glove is cut and sewed together. Handy Leather uses the multiple production department factory overhead rate method of allocating factory overhead costs. Its factory overhead costs were budgeted as follows:
Pattern department Overhead $140,700
Cut and sew Department overhead $231,400
Total $372100
Direct labor labor estimated for each department was as follows:
Pattern Dept. - 2100 direct labor hours
Cut and Sew Department 2600
Total 4700 direct labor hours
Direct labor hours are used to allocate the production department overhead to the products. The direct labor hours per unit for each product for each production department were obtained from the engineering records as follows:
Production Departments Small Glove Medium Glove Large Glove
Pattern dept. 0.04 0.05 0.06
cut and sew dept. 0.07 0.09 0.11
direct labor hours per unit 0.11 0.14 0.17
If required, round all per unit answers to the nearest cent.
a. Determine the two production department factory overhead rates.
Cut and sew department and Pattern
b. Use the two production department factory overhead rates to determine the factory overhead per unit for each product.
small glove, medium glove and large glove
f '(x) = sin(x) - 65
What is f(x)?
Hello,
f'(x) = sin(x) - 65 → f(x) = -cos(x) - 65x
The imaginary number i is defined as ?
(1) -1
(3) √-4
(2) √-1
(4) (-1)²
Answer:
√-1
Step-by-step explanation:
The imaginary number i is defined as √(-1)
NOTE : i² = -1
Solve for y: -20x + 10y = 30
Answer:
y = 2x + 3
Step-by-step explanation:
Hello!
Solve for y by isolating the variable.
Solve for y[tex]-20x + 10y = 30[/tex][tex]10y = 30 + 20x[/tex][tex]y = \frac{30 + 20x}{10}[/tex][tex]y = \frac{(10)(3 + 2x)}{10}[/tex][tex]y = 3 + 2x[/tex][tex]y = 2x + 3[/tex]The solution is y = 2x + 3.
To Calculate :-
Value of y.Solution :-
⇒ -20x + 10y = 30
☆ Transposing (-20x) to R.H.S. sign would be changed to positive.
⇒ 10y = 30 + 20x
⇒ y = 30 + 20x / 10
⇒ y = 10 (3 + 2x) / 10
☆ Cancelling 10,
⇒ y = 3 + 2x / 1
⇒ y = 2x + 3
How do l do this?? So confused please help me
Answer:
hope they do help. in case of any questions feel free to ask.
14) Complete.
Purchase Price: $225.75
Finance Charge:
Down Payment: $25
Number of Payments: 12
Monthly Payment: $22.50
O a.) $68.50
Ob.) $65.55
Oc.) $59.35
Od.) $69.25
Finance charge is: d.) $69.25.
Finance chargeUsing this formula
Finance charge=(Monthly payment× Number of payment)-(Purchase price-Down payment)
Let plug in the formula
Finance charge=($22.50×12)-($225.75-$25)
Finance charge=$270-$200.75
Finance charge=$69.25
Therefore the Finance charge is: d.) $69.25.
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INECUACION
4x+5>6x-13
Answer:
the answer is x<9 I found this by simplifying and separating the x
A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 hours, then what percentage of the last dosage remains in the patient’s body when the next dosage is taken
After 24 hours, 35.4% of the initial dosage remains on the body.
What percentage of the last dosage remains?
The exponential decay is written as:
[tex]f(x) = A*e^{-k*x}[/tex]
Where A is the initial value, in this case 2.8mg.
k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:
[tex]k = ln(2)/16h[/tex]
Replacing all that in the above formula, and evaluating in x = 24 hours we get:
[tex]f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg[/tex]
The percentage of the initial dosage that remains is:
[tex]P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%[/tex]
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Choose correct simplification of x^12z^11/x^2z^4
The correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
How to simplify the expression?The expression is given as:
x^12z^11/x^2z^4
Rewrite properly as
[tex]\frac{x^{12}z^{11}}{x^2z^4}[/tex]
Apply the quotient law of indices
[tex]x^{12-2}z^{11-4}[/tex]
Evaluate the difference
[tex]x^{10}z^{7[/tex]
Hence, the correct simplification of x^12z^11/x^2z^4 is [tex]x^{10}z^{7[/tex]
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Assume the following 5 scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into z-scores. Show all steps
The z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
How to transform the scores?The sample scores are given as:
2, 3, 5, 5, 6.
Calculate the mean and the standard deviation using a statistical calculator.
From the statistical calculator, we have:
[tex]\bar x = 4.2[/tex] --- mean
[tex]\sigma_x = 1.64[/tex] --- standard deviation
The z-score is then calculated using
[tex]z= \frac{x - \bar x}{\sigma}[/tex]
Where:
x = 2, 3, 5, 5, 6.
So, we have:
[tex]z_1= \frac{2 - 4.2}{1.64} = -1.34[/tex]
[tex]z_2= \frac{3 - 4.2}{1.64} = -0.73[/tex]
[tex]z_3= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_4= \frac{5 - 4.2}{1.64} = 0.48[/tex]
[tex]z_5= \frac{6 - 4.2}{1.64} = 1.10[/tex]
Hence, the z-scores of the scores are -1.34, -0.73, 0.48, 0.48 and 1.10
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WILL MARK BRAINLIEST PLS HELPPPPPP
Answer:
This is the graph of y = 0.4x
solve the following proportion for x 3/8 =x/13
The value of x in the proportion is x = 39/8
How to solve the proportion?The proportion is given as:
3/8 =x/13
Cross multiply
8 * x = 3 * 13
Evaluate
8x = 39
Divide by 8
x = 39/8
Hence, the value of x in the proportion is x = 39/8
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# 80. Find the equation of the line perpendicular to the line x = 3 and passing though the
midpoint of the segment joining (-2, 2) and (4, -8).
Answer: y = -3
Step-by-step explanation:
The midpoint is [tex]\left(\frac{-2+4}{2}, \frac{2-8}{2} \right)=(1, -3)[/tex].
The line given is a vertical line, so we need a horizontal line.
Thus, the equation is y = -3.
Can not be bothered to write the question so ima just attach it
Use desmos graphing calculator, for visuals. It's easy to use as well.
A is 0 (zero)
(1x1 + 2x1 - 3)
B) D ( lies on 1 on our x-axis)
C) This tells you to draw a line at zero on the y-axis, a horizontal line BTW & read off the x values, where the line touches the pink graph/diagram.
y=x^2+2x-3 is the similar to x^2+2x-3=0 because the letter y now represents zero. So, that's why we draw the line y=0 (a horizontal line at zero). Then, use it to find the x values.
Thus, x = - 3 & x = 1
Hope this helps!
Graph: f(x) = 4x - 4
See the graph in the attached image.
Help with proving the following
Hello and Good Morning/Afternoon
Let's take this problem step-by-step:
First step
⇒ consider the fact cotθ = 1 / (tanθ)
[tex]\frac{1+tanx}{1+cotx} =\frac{1+tanx}{1+\frac{1}{tanx} }[/tex]
Second step
⇒ form a common denominator for the fraction in the 'denominator'
[tex]\frac{1+tanx}{1+\frac{1}{tanx} } =\frac{1+tanx}{\frac{tanx+1}{tanx} }[/tex]
Let's flip over the fraction on the denominator
[tex]\frac{1+tanx}{\frac{tanx+1}{tanx} } =(1+tanx) * \frac{tanx}{1+tanx} =tanx[/tex]
And there you go, you have proved the statement by following these steps!
*note, I used 'x' because the equation creator didn't have 'θ' symbol
Hope that helps!
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Find the exact perimeter of hexagon ABCDEF plotted below.
A(-6,2)
F(-6,-3)
B(1,5)
E(1,-3)
C(6,5)
D(6,-1)
Answer:
36.
Step-by-step explanation:
try this option provided on the attached picture.
Approximate[tex]\sqrt{48}[/tex]to the tenths place
Answer:
6.9
Step-by-step explanation:
If you have a calculator, you can do this easily.
[tex]\sqrt{48}=4\sqrt{3}\quad \left(\mathrm{Decimal:\quad }\:6.92820\dots \right)[/tex]
Round the Decimal to the tenths place, and you get 6.9.
e
2. Based on the circular
angle below. What is the
best measurement
the angle?
for
a. less than 90°
b. more than 90°
c. more than 70°
d. less than 120°
The best measurement for the angle is less than 90°. The correct option is a. less than 90°
Measure of anglesFrom the question, we are to determine which of the given options is the best measurement for the angle
In the given diagram, we can observe that the angle is an acute angle. Thus, the measure of the angle will be lesser than 90°.
Hence, the best measurement for the angle is less than 90°. The correct option is a. less than 90°.
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image What's the exact area of triangle DEF shown in the graph? Question 13 options: A) 15 square units B) 18 square units C) 24 square units D) 36 square units
Using the coordinate geometry formula, the exact area of triangle DEF is: B. 18 square units.
What is the Coordinate Geometry Formula?The coordinate geometry formula is used to find the rea of a triangle with given coordinates of its vertices. It is given as: the absolute value of [Dx(Ey - Fy) + Ex(Fy - Dy) + Fx(Dy - Ey)]/2.
Dx = -3
Dy = 4
Ex = 3
Ey =-2
Fx = 3
Fy = 4
Plug in the values:
[-3(-2 - 4) + 3(4 - 4) + 3(4 - (-2))]/2.
[-3(-6) + 3(0) + 3(6)]/2.
[18 + 0 + 18]/2.
36/2
= 18 units²
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Find the component of the set given
The complement of the given set is:
A* = {-1, 0, 1, 4, 5}
How to find the complement of the set?For any set A on a universal set U, such that:
A ⊂ U.
The complement of A is the set of all the terms on U that do not belong to A.
Here we have:
U = {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7}
And the given set is:
A = {-3, -2, 2, 3, 6, 7}
Then the complement of A is:
A* = {-1, 0, 1, 4, 5}
(all the elements of U that are not in A).
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A man ordered 5 times as many boxes of ballpoint pens as boxes of felt-tip pens. Ballpoint pens cost $4.33 per box, and felt-point pens cost $3.42. If the man’s order of pens totaled $75.21, how many boxes of each type of pen did he buy
Using equation, He bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
How to find the boxes of each type of pen using equation?let
x = number of boxes of ballpoint pens
y = number of boxes of felt-tip pens
Therefore, the situation will form an equation.
x = 5y
Hence,
4.33x + 3.42y = 75.21,
4.33(5y) + 3.42y = 75.21
21.65y + 3.42y = 75.21
25.07y = 75.21
y = 75.21 / 25.07
y = 3
x = 5(3) = 15
Hence, he bought 3 boxes of ballpoint pens and 15 boxes of felt-tip pens
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slope of (1,10) (1,-8)
step by step?!
Answer:
undefined - you can't divide by 0!
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{10-(-8)}{1-1}[/tex]
m = 18/0
In order to find the slope, we have the formula is
The change of Y (Also Y minus each other)
----------------------------------------------------------------- Over (As fraction
The change of X (Also X minus each other)
Now the first point is (1,10) The Y is 10
The X is 1
Now the Second Point is (1,-8) The Y is -8
The X is 1
So now we plug the numbers in
10-(-8)
--------- which is equal to 18/0
1-1
A quick tip is that you CAN'T divide by zero
Therefore the answer is unidentified, but now you know how to solve for slopes
Given that NQ ll PR, find NP
The parallel lines cuts the sides in equal proportion to give NP = 0.8
How can the length of NP be found?The given diagram consists of a line parallel to one of the sides of the triangle.
According to the triangle proportionality theorem, the parallel line, NQ, proportionally divides the sides MR and MP, such that:
NQ || PR
By triangle proportionality theorem;
[tex]\mathbf{ \frac{ MN }{ NP} } = \frac{ MQ }{ QR } [/tex]
Which gives;
[tex] \mathbf{ \frac{ 5 }{ NP} } = \frac{ 8}{ 2 } [/tex]
2×5 = 8 × NP
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Line AB contains points A (8,-4) and B (1, -5). The slope of line AB is
Let, the points be A (8, −4) and B (1, −5). The slope of line AB exists 1/7.
How to estimate the slope of line AB?Utilize the slope formula to estimate the slope of a line provided the coordinates of two points on the line.
The slope formula exists [tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex], or the difference in the y values over the difference in the x values. The coordinates of the first point symbolize [tex]$x_{1}[/tex]and [tex]$y_{1}[/tex]. The coordinates of the second points exist [tex]$x_{2} , y_{2} .[/tex]
The slope of the line exists the ratio of the rise to the run, or rise separated by the run.
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
The Line, AB contains points A (8, −4) and B (1, −5).
Substitute the value of points in the equation then we get
[tex]$m = (y_{2} -y_{1})/(x_{2} - x_{1} )[/tex]
m = (-5-(-4))/(1 - 8)
Simplifying the above equation, we get
m = (-5+4)/(1 - 8)
m = (-1)/(-7)
m = 1/7
Therefore, the slope of line AB exists 1/7.
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will give brainliest
So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.
How to sketch the graph of f(x - 2)?
Sadly we don't have the original function f(x), but we can answer in a general form.
Remember that for a general function f(x), a horizontal translation of N units can be written as:
g(x) = f(x + N).
if N > 0, then the translation is to the left.if N < 0, the translation is to the right.So, the graph of f(x - 2) is just the graph of f(x) translated 2 units to the right.
So you need to resketch f(x), but just move it 2 units to the right side (positive x-axis side).
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Solve |x-3|+7=|3x-9|
Answer:
-1/2 and 13/2
Step-by-step explanation:
If the tan V=4/3, what is the value of sec V
The value of sec(V) is 5/3
How to solve the trigonometry expression?The tangent is given as:
tan(V) = 4/3
To solve for sec(V), we use the following identity
sec^2(V) = tan^2(V) + 1
So, we have:
sec^2(V) = (4/3)^2 + 1
This gives
sec^2(V) = 16/9 + 1
Evaluate the sum
sec^2(V) = 25/9
Take the square root
sec(V) = 5/3
Hence, the value of sec(V) is 5/3
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