Answer: $329.8
[tex]3298-(\frac{90}{100} *3298)\\= 3298 - 2968.2\\= 329.8[/tex]
The amount Keiko pays annually is $329.8
To answer the question, we need to know the amount Keiko pays annually
How to calculate how much Keiko pays annually.Since Keiko health insurance premium annually is $3298 and if his employer pays 90% of the premium, we want to know how much Keiko pays.
Since the employer pays 90% of the premium, the employer pays x = 90% of $3298
= 0.9 × 3298
= $2968.2
So, the amount Keiko pays annually is y = premium - amount employer pays, x
= $3298 - $2968.2
= $329.8
So, the amount Keiko pays annually is $329.8
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Which series of transformations will not map figure Q onto itself?
O(x+2, y-2), reflection over y = x - 1
O(x-2, y + 2), reflection over y = x + 3
O(x+0y-4), reflection over y = x - 1
O(x-3, y-3), reflection over y = -x +1
Question 1 (Answered)
OF
Your question is incomplete. Below you will find the missing content.
Which series of transformations will not map figure H onto itself?
A. O(x+0, y-2), reflection over y = 1
B. O(x+2, y-0), reflection over x=3
C. O(x+3, y+3), reflection over y = -x +7
D. O(x-3, y-3), reflection over y = -x +2
The correct option is Option D: the series of transformation O(x-3, y-3), reflection over y = -x +2 will not map figure H onto itself.
Here given a square with its 4 vertices at coordinates (2,1), (1,2), (2,3) and (3,2).
By checking all the options
Option A:
1st transformation (x+0, y-2) will map 4 vertices of the square into points of coordinates such as
(2,1) → (2,-1)
(1,2) → (1,0)
(2,3) → (2,1)
(3,2) → (3,0)
next transformation which is the reflection over y=1 gives the coordinates (x,2-y)
(2,-1) → (2,3)
(1,0) → (1,2)
(2,1) → (2,1)
(3,0) → (3,2)
These new points are exactly the same as the vertices of the initial square.
Option B:
1st transformation (x+2, y-0) will map 4 vertices of the square into points of coordinates such as
(2,1) → (4,1)
(1,2) → (3,2)
(2,3) → (4,3)
(3,2) → (5,2)
next transformation which is the reflection over x=3 gives the coordinates (6-x,y)
(4,1) → (2,1)
(3,2) → (3,2)
(4,3) → (2,3)
(5,2) → (1,2)
These new points are exactly the same as the vertices of the initial square.
Option C:
1st transformation (x+3, y+3) will map 4 vertices of the square into points of coordinates such as
(2,1) → (5,4)
(1,2) → (4,5)
(2,3) → (5,6)
(3,2) → (6,5)
next transformation which is the reflection over y=-x+7 gives the coordinates such as
(5,4) → (3,2)
(4,5) → (2,3)
(5,6) → (1,2)
(6,5) → (2,1)
These new points are exactly the same as the vertices of the initial square.
Option D:
1st transformation (x-3, y-3) will map 4 vertices of the square into points of coordinates such as
(2,1) → (-1,-2)
(1,2) → (-2,-1)
(2,3) → (-1,0)
(3,2) → (0,-1)
next transformation which is the reflection over y=-x+2 gives the coordinates such as
(-1,-2) → (4,3)
(-2,-1) → (3,4)
(-1,0) → (2,3)
(0,-1) → (3,2)
These new points are not matching with the vertices of the initial square.
Therefore the correct option is Option D: O(x-3, y-3), reflection over y = -x +2 will not map figure H onto itself.
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its math help me pless
Answer:
mommy
Step-by-step explanation:
The value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
The given function is [tex]f(x)=3x^{2} -2x[/tex].
We need to evaluate the given function for x=4.
What is the function?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
To find the value of the given function replace x with 4 and simplify.
That is, [tex]f(4)=3(4)^{2} -2 \times 4=48-8=40[/tex].
Hence, the value of the function [tex]f(x)=3x^{2} -2x[/tex] for x=4 is 40.
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What is the discriminant of the quadratic equation 2x² - x - 3=0?
A. -25
B. 25
C. -23
D. 23
The given quadratic equation is
[tex]2 {x}^{2} - x - 3 = 0[/tex]
comparing with
[tex] {ax}^{2} + bx + c = 0[/tex]
We get ,
[tex]a = 2 \\ b = - 1 \\ c = - 3[/tex]
formula :
[tex]D = {b}^{2} - 4ac \\ \\ D = {( - 1)}^{2} - 4 \times 2 \times ( - 3) \\ \\ D = 1 - ( - 24) \\ \\D = 1 + 24 \\ \\D = 25.[/tex]
Discriminant of given quadratic equation is 25 .
option (B) 25 ✔
translate the following to and expression 5 times the difference of a number and 12
Answer:
5(a-12)
Step-by-step explanation:
5(a-12)
(02.07)
The equation below shows the relationship between the
temperature in degrees Celsius, C, and degrees Fahrenheit, F:
H
C
(F-32)
Which of the following formulas correctly solves for F? (1 point)
Answer:
[tex]\boxed {\frac{F -32}{9} = \frac{C }{5}}[/tex]
Step-by-step explanation:
The correct relation between degrees Celsius, °C, and degrees Fahrenheit, °F is :
[tex]\boxed {\frac{F -32}{9} = \frac{C }{5}}[/tex]
Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1)
Answer:
-63
Step-by-step explanation:
3 - 6(12 - 1) = 3 - 6(11) = 3 - 66 = -63
The average rate of job submissions in a busy computer center is 3 per minute. If it can be assumed that the number of submissions per minute interval is Poisson distributed. Calculate the probability that at least 40 jobs will be submitted in 15 minutes.
The probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.
The number of jobs submitted per minute follows Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X= x) = e^{-\lambda} \frac{\lambda^{x} }{x!}[/tex] .
In the question, we have the random variable x = 40.
The mean λ = Average jobs per minute*time = 3*15 = 45.
We are to find the probability that at least 40 jobs will be submitted in 15 minutes, which is represented as P(X ≥ 40) = P(X > 39).
P(X > 39) = 1 - P(X ≤ 39) = 1 - poissoncdf(45,39)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 39) = 1 - 0.20838 = 0.79162.
Therefore, the probability that at least 40 jobs will be submitted in 15 minutes is 0.79162.
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A sales manager sets sales goals for each of his employees. The manager increases the goals of his salespeople by 5% each month. If Maria’s sales goal was initially 95 units for the month, what is her sales goal after 6 months?
Answer:
Her sales after 6 months are = 127units
Step-by-step explanation:
Percentage increase:- The degree to which a value increases expressed in percent form is known as percentage increase.
formula for % increase = (final value - initial value)/initial value(100)
Here in the question,
percentage increase after every month is = 5%
initial value = 95 units
therefore by applying above formula :-
[(x-95)/95]×100 = 5 [where x is the value of her sales goals after 1 month]
x = (5/100)×95+ 95
x = 99.75
Now this x will be the initial value for the next month
x₂ = (5/100)99.75+ 99.75 [ x₂ = sales goal after 2 months]
x₂ = (5/100)×99.75+ 99.75
x₂ = 104.73
similarly,
(x₃-104.73/104.73)100 = 5 [x₃ = sales after 3 months]
x₃ = 109.96
similarly for 4th month,
(x₄ -109.96/109.96)100 = 5 [x₄ = sales after 4 months]
x₄ = 115.45
for 5th month,
(x₅ -115.45/115.45)100 = 5 [x₅ = sales after 5 months]
x₅ = 121.22
finally for the 6th month
(x₆-121.22/121.22)100 = 5 [x₆ = sales after 6 months]
x₆ = 127.28
therefore,
her sales after 6 months are = 127.28 units or 127 units by rounding off
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Can someone please help me
Please help
(a) Write an equation for the volume V of the box in terms of x.
(b) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Answer:
V = 4*8
V= 32
(x+x) * (x+x) = 2x * 2x = 4x^2
write and solve a proportion to complete the statement. Round to the nearest hundredth if necessary.
1. 6km ≈ ?mi
2. 2.5 L≈ ?gal
3. 90lb ≈ ?kg
pls help
Answer:
Step-by-step explanation:
Convert kilometer to miles:1 km = 0.62 mi
So, to convert 6 km to mi, multiply 6 by 0.62.
6km = 6* 0.62
= 3.72 mi
Convert liter to gallon:1 L = 0.26 gal
To convert 2.5 L to gallon, multiply 2.5 by 0.26.
2.5 L = 2.5 * 0.26
= 0.65 gal
Convert pound to kilogram:1 lb = 0.45 Kg
To convert 90 lb to Kg, multiply 90 by 0.45.
90 lb = 90 *0.45
= 40.5 Kg
Suppose we want to choose 6 letters without replacement from 10 distnict letters. how many ways can this be done if the order of the choices is relavant
The number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.
What are permutation and combination?A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
We have:
Suppose we want to choose 6 letters without replacement from 10 distinct letters.
Number of letters = 10
Number of letters need to select = 6
Order is important.
A number of ways:
C(10, 6) = 10!/(10-6)!
= 10!/(4)!
= 151200
Thus, the number of ways this can be done is 151200 if they choose 6 letters without replacement from 10 distinct letters.
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The sum of two numbers is 48. If one number is three more than twice the second number, which of the following is the
smaller number?
O 24
O 15
O 30
O 33
Answer:
15
Step-by-step explanation:
"one number is three more than twice the second number"
15 * 2 = 30
30 + 3 = 33
15 + 33 = 48
Answer:
15
Step-by-step explanation:
The key to most problems of this type is carefully translating the word problem into math ... an equation.
"The sum of two numbers is 48."
"Sum": Add
"two numbers": we'll need two numbers... let's call them x & y
"is": =
"48": 48
So, the first sentence means: [tex]x+y=48[/tex]
Note that we have two unknowns here. To solve for them, we'll need another equation... at least as many equations as unknowns (2 unknowns, needs 2 equations).
"If one number is three more than twice the second number..."
"one number": x
"is": =
"three more than": +3
"twice": 2*
"the second number": y
So, the second sentence introductory clause means: [tex]x=2y+3[/tex]
Systems of equationsWe have a system of equations. We need as many equations as we have unknowns. We currently have two equations, and two unknowns. Let's try to solve the system:
[tex]x+y=48[/tex]
[tex]x=2y+3[/tex]
There are two main methods to solve systems of equations: Substitution & Elimination
To use the Substitution Method, we'll need to isolate one of the variables in one of the equations, substitute, and solve.
To use the Elimination Method, we'll need to align like terms, find or build matching coefficients with opposite signs, add to eliminate, and solve.
Given that equation 2 already has x isolated, this system is already ready to use the Substitution method, so let's do that.
Solving a system with the Substitution Method[tex]x+y=48\\x=2y+3[/tex]
[tex](2y+3) + y = 48[/tex]
[tex]2y+3 + y = 48[/tex]
[tex]3y+3 = 48[/tex]
[tex]3y= 45[/tex]
[tex]y= 15[/tex]
To find x, substitute back into one of the equations: Equation 2 already has x isolated, so it will be easy to solve for x.
[tex]x=2(15)+3[/tex]
[tex]x=30+3[/tex]
[tex]x=33[/tex]
So the solution we found is x=33 and y=15.
Check to make sure it satisfies the original conditions:The sum of the numbers is 48:
[tex]x+y=(33)+(15)\\x+y=48[/tex]
One number is three more than twice the second number
[tex]x=2y+3[/tex]
[tex](33)\text{ ?=? }2(15)+3[/tex]
[tex]33=33[/tex]
Our answer satisfies all of the original conditions, so our answer works.
Answering the questionThe question finally asks, "...which of the following is the smaller number?"
Of the two numbers, the smaller number is 15.
What is the sum of the arithmetic sequence 3, 9, 15..., if there are 24 terms? (5 points)
There's a fixed difference of 6 between terms (9 - 3 = 6, 15 - 9 = 6, and so on). The first term of the sequence is 3, so the [tex]n[/tex]-th term is
[tex]3 + 6(n-1) = 6n - 3[/tex]
If there are 24 terms in the sum, then the last term is 6×23 - 3 = 135.
Let [tex]S[/tex] be the sum,
[tex]S = 3 + 9 + 15 + \cdots + 123 + 129 + 135[/tex]
Reverse the order of terms:
[tex]S = 135 + 129 + 123 + \cdots + 15 + 9 + 3[/tex]
If we add up the terms in the same positions, we get twice [tex]S[/tex] on the left side, while on the right side we observe that each pair of terms will sum to 138.
[tex]S + S = (3 + 135) + (9 + 129) + (15 + 123) + \cdots + (135 + 3)[/tex]
[tex]2S = 138 + 138 + 138 + \cdots + 138[/tex]
and since there are 24 terms in the sum, the right side is the sum of 24 copies of 138. In other words,
[tex]2S = 24 \times 138[/tex]
and solving for [tex]S[/tex] gives
[tex]S = \dfrac{24\times138}2 = \boxed{1656}[/tex]
3x² - 5x+2
5x²-2x-6
Which of the following is the sum of the two
polynomials shown above?
A) 8x²-7x-4
B) 8x² +7x-4
C) 8x4-7x²-4
D) 8x² +7x²-4
m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°
Answer: x = 44
Step-by-step explanation:
The exterior angles of a polygon add to 360 degrees so:
(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]a) Copy a segment using the construction tool. Insert a screenshot of the construction here.
Alternatively, construct a segment and copy it by hand using a compass and straightedge. Leave
all circle and arc markings.
We need to understand circles and colinear points in order to use the building tool to create a circle.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Draw arcs such that they all bisect one another at a point, which will be the center of the circle, starting with three non-colinear points (points A, B, and C).
Additionally, the radius will match the distance between the arcs' centers and their correspondingly drawn arcs.
Hence we need to understand circles and colinear points in order to use the building tool to create a circle.
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Simplify the following expression.
3x +2x³-5x² + 4x +6x-2x-3x² + 7x² - 3x³
Answer: [tex]-x^3-x^2+11x\\[/tex]
Step-by-step explanation:
Combine Like Terms:
[tex]=3x+2x^3+-5x^2+4x+6x+-2x+-3x^2+7x^2+-3x^3\\\\=(2x^3+-3x^3)+(-5x^2+-3x^2+7x^2)+(3x+4x+6x+-2x)\\\\=(-x^3)+(-8x^2+7x^2)+(7x+4x)\\\\=-x^3-x^2+11x\\[/tex]
What is the area of Jack’s patio?
Answer:
62m^2
Step-by-step explanation:
From the figure above, we have two rectangles
For one rectangle,
Lenghts= 7m
Width = 6m
Area = lenght× width = 7×6= 42m^2
For the sect rectangle
Lenght = 5cm
Width = 4cm
Area = 5×4 = 20cm^2
Area of jack patio = 42+20= 62m^2
Please help fast!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
3 x 2/5
Answer:
1 1/5
Step-by-step explanation:
First, make 3 a fraction by putting it over one. Then multiply the numerators (top) together and the denominators (bottom) together.
3/1 x 2/5 = 6/5
Now reduce by dividing 6 by 5 and you get 1 1/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3}{1}\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3\times2}{1\times5}}\\\\\mathsf{= \dfrac{6}{5}}\\\\\mathsf{= 1 \dfrac{1}{5}}\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{\dfrac{6}{5} \ or \ 1 \dfrac{1}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Given a b and m/1 = 42°
What is m/6?
Enter your answer in the box.
what can this be classified as?
Answer:
D. None of the Above
Step-by-step explanation:
They don't relate whatsoever
the probability of drawing a diamond or a queen from a pack of 52 cards is
Answer:
25 percent chance or 13/52 for drawing a diamond and 4/52 for a queen
Step-by-step explanation:
There are 13 diamonds in a stack of 52 cards, hence 13/52 or 25 percent chance of drawing a diamond.
Since there are only 4 queens in a stack of 52 cards, so 4 out of 52 cards are queens
Please help!!!
What is the area of , given that θ=π/3 radians? Express your answer in terms of π and as a decimal rounded to the nearest tenth. Show all your work.
Answer:
A = 1.5 π in² ≈ 4.7 in²
Step-by-step explanation:
the area (A) of the sector is calculated as
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]
= π × 3² × [tex]\frac{1}{6}[/tex]
= 9π × [tex]\frac{1}{6}[/tex]
= 1.5π in²
≈ 4.7 in² ( to the nearest tenth )
simplify algebraic equation x^2-4/x^2+2x
Answer:
Simplification of algebric expression is [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
Step-by-step explanation:
Simplify any algebric expression means to write an equivalent expression in which all similar terms combined and remove all symbols such as brackets.
The given algebraic equation is [tex]x^{2} -\frac{4}{x^{2} } +2x[/tex]
now for simplifying it
First of all take L.C.M of [tex]x^{2}[/tex]
= [tex]\frac{x^{2} (x^{2}) -4 + 2x(x^{2} )}{x^{2} }[/tex]
We get [tex]\frac{x^{2} -4+2x^{3}}{x^{2} }[/tex]
Further we can write it as [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
Simplification of algebric expression is [tex]\frac{x^{2} - 2x^{3}-4 }{x^{2} }[/tex]
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Each child ticket for a ride costs $3, while each adult ticket costs $5. if the ride collected a total of $115, and 33 tickets were sold, how many of each type of ticket were sold
How does the graph of g(x)=
X-5
+2 compare to the graph of the parent function f(x) = ?
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
Og(x) is shifted 5 units left and 2 units down from f(x).
Og(x) is shifted 5 units right and 2 units down from f(x).
Answer:
B. g(x) is shifted 5 units right and 2 units up from f(x).
g(x) = [tex]\frac{1}{x-5}[/tex] + 2 is compared to the parent function, f(x) = [tex]\frac{1}{x}[/tex] by g(x) is shifted 5 units right and 2 units up from f(x).
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
Given parent function is,
f(x) = [tex]\frac{1}{x}[/tex]
And the translated function is,
g(x) = [tex]\frac{1}{x-5}[/tex] + 2
When f(x) becomes g(x), the first change occurred is [tex]\frac{1}{x}[/tex] changes to [tex]\frac{1}{x-5}[/tex].
That is f(x) changes to f(x-5).
This translation occurs when the function undergoes horizontal translation towards right.
Then [tex]\frac{1}{x-5}[/tex] is translated to [tex]\frac{1}{x-5}[/tex] + 2.
That is, f(x-5) is changed to f(x-5) + 2.
This occurs for the vertical translation towards up.
Hence the translation occurred is g(x) is shifted 5 units right and 2 units up from f(x).
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The categories of __________-level distributions do not have to be listed in any particular order
The categories of nominal level distribution do not have to be listed in any particular order
Characteristics of a nominal level distribution
These characteristics include:
Nominal data are categoricalThe categories are relatively mutualNo overlap between the categories.Nominal data are categorized according to labels which descriptiveNominal data don't provide any quantitative or numeric valuesTherefore, the categories of nominal level distribution do not have to be listed in any particular order
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Tell if each is an arithmetic sequence. If it is, give the common difference.
5. 1, 2, 4, 8, 16,...
6. 60, 55, 50, 45, 40,....
7. 20, 21.5, 23, 24.5, 26,...
8. 30, 80, 130, 180,...
9. 3, 6, 12, 21, 33, 48,...
10. 5000, 1000, 200, 40,..
Answers:
5.) Yes it is, you add each one to itself to get the next number
6.) Yes, you subtract 5 from each number
7.) yes, you add 1.50 to each number
8.) Yes, you add 50 to each number
9.) No, they do not follow a pattern
10) Yes, you divide by 5 every time.
Please help me! I need help. Please help me, I need help, please help me!
Answer:
17x
Step-by-step explanation:
3x+4+4x+4+3x-4+3x-4+4x
Collect liketerms
