Answer:
Ox=4 is the answer for the question
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]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
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
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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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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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!!!
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 )
what are the true statements
Given a b and m/1 = 42°
What is m/6?
Enter your answer in the box.
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
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 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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(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]
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]
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 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]
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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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]
Can someone please help me
what can this be classified as?
Answer:
D. None of the Above
Step-by-step explanation:
They don't relate whatsoever
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
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)
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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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
solve 3(10)^x = 30,000
Step-by-step explanation:
We will need to use logs here...
First divide each side by 3
[tex]3(10)^x=30000[/tex]
[tex]10^x=10000[/tex]
Then take the log of each side
Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x
[tex]log_{10} (10^x)=log(10000)[/tex]
Finally, log(10000) = 4 because [tex]10^4=10000[/tex]
[tex]x = 4[/tex]
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?
A) City A was 5: C. and City B was 4° C.
B) City À was 3° C, and City B was -1° C
C)City A was 8° C. and City 3 was -3° C.
D)City À was 5° C, and City 3 was -5° C.
Answer:
A) City A was 5°C and City B was 4°C
Step-by-step explanation:
let temperature of City A be x and City B be y
According to the conditions of the question
4x = 8 + 3y (first temperature)
x - 2y = -3 (second temperature)
x = -3 + 2y
4(x) = (-3 + 2y)×4
4x = -12 + 8y
But it's already given that 4x = 8 + 3y
So,
8 + 3y = -12 + 8y
8 + 12 = 8y - 3y
20 = 5y
y = 20/5
y = 4
That means City B temperature was 4°C
So Option A
If you want you can find x to find City A temperature
Can you please mark Brainliest
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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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
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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