The rotations which will map this figure itself are 60°, 120°, and 180°, and these values are given in option i.e. (a) ii, iii, and iv.
We have,
A figure which is on a straight line i.e 180°.
Now,
Find the rotations which it will make,
When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.
So,
In the same way;
After rotaions of this figure to reach it to its original position it has to make an angle of 360°.
So,
That means,
First this figure will make a rotation of 60°.
Then it will make a rotation of 120°.
Then it will make a rotation of 180°.
i.e.
The sum of these angles = 60° + 120° + 180° = 360°.
So,
We have to choose that option, in which the sum of angles is 360°.
i.e.
Option 1. ii, iii, and iv.
Therefore, the rotations which will map this figure itself are 60°, 120°, and 180° and these values are given in option i.e. (a) ii, iii, and iv.
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53 points!!! find x. do not round your answer. 5cm 6cm 12cm x
Answer:
16.6
Step-by-step explanation:
By the property of intersecting secants.5(5+x) = 6(6+12)-> 25 + 5x = 6*18-> 5x = 108 - 25-> 5x = 83-> x = 83/5-> x = 16.6what is the degree of the polynomial below?
2 times x squared plus 3 times x plus 1
Answer:
2
Step-by-step explanation:
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. In 2x^2 + 3x +1, our highest degree is 2.
[39/(15-2)|-(2*9)
someone solves this please, I keep getting different answers and everytime I look up the answer every website shows a different answer..
Answer:
[39/(15-2)]-(2×9) = -15
Step-by-step explanation:
[39/(15-2)]-(2×9)
Let’s start with this part : 39/(15-2)
According to the order of operations parentheses comes before division
then
39/(15-2) = 39/(13) = 39/13 = 3
We get [39/(15-2)]-(2×9) = 3 - (2 × 9)
…………………………………………
Calculating 3 - (2 × 9)
According to the order of operations parentheses and multiplication comes before division
Then
3 - (18) = 3 - 18 = -15
Thus
[39/(15-2)]-(2×9) = -15
PLEASE HELP ME!!! QUICKLY!!
Answer:
4
Step-by-step explanation:
2L=w
32=LxW
so you put the 2L as the w
which is 32=Lx2L
32=2L^2
16=L^2
4=L
*To find the width you input 4 as L*
So 8=W
The shortest side would be 4
please find it and ignore the writing from pen
Answer:
18 is answer
Step-by-step explanation:
Answer:
what is business function of beauty
Gaston has budgeted $475.00 for spending money on his trip to Zambia. If the current exchange rate is 1 U.S. dollar:12 Zambian kwacha, how many kwacha will Gaston have to spend?
3,958
4,500
5,700
6,200
Answer:
3,958 kjksjjdkskdjdjd
On a separate piece of graph paper, graph y = Ixl - 1; then click on the graph until the correct one appears.
The function y = |x| - 1 is a translation of 1 unit downwards of the parent absolute value function, and its graph is the first one shown in the images.
How to graph the function?Here we want to graph:
y = |x| - 1
Notice that if we take the parent absolute value function:
y = |x|
And we translate it one unit downwards, we will get:
y = |x| - 1
Which is the function that we want to graph.
So to select the correct graph, we need to find the one that is the parent absolute value function translated one unit downwards. It is the one with the vertex at (-1, 0), which is the graph that appears on the first image.
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there are 2 quarters 1 nickle and 2 dimes in a pocket what is the probility of choosing a coin not returning it too the pocket and then choosing another of greater value
I need help with this question, I'm not sure what to do
If Bruce can deduct 40% from other interest then the total interest deducted is $2927.
Given Adjusted gross income=$36500, mortgage interest =$2787 and other interest $350.
It is said that 40% of other interest can be deducted by Bruce but it is not said that nothing will be deducted by Bruce from Mortgage interest so we will deduct full of mortgage interest and 40% of other interest. So,
Mortgage interest =$2787
Other interest=$350
Other interest deductable=40%*350
=$140
So the total will be 2787+140 =$2927.
Hence the interest deducted by Bruce is $2927if only 40% of other interest is deductable.
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b) Another sequence is defined using this term-to-term rule, Un+1 = kun + r where k and rare constants. Given that u₁ = 37, U₂= 188 and u3 = 943, find the value of k and the value of r. b ) Another sequence is defined using this term - to - term rule , Un + 1 = kun + r where k and rare constants . Given that u₁ = 37 , U₂ = 188 and u3 = 943 , find the value of k and the value of r .
The values of k and r are given by 5 and 3 respectively.
Here in this problem it is given that,
General formula for the sequence is given by,
[tex]U_{n+1}=kU_n+r[/tex]
First term of the sequence, [tex]U_1=37[/tex]
Second term,
[tex]U_2=188[/tex]
[tex]U_{1+1}=188[/tex], rearranging
[tex]kU_1+r=188[/tex], applying general formula
[tex]37k+r=188[/tex]..........(1)
Third term,
[tex]U_3=943[/tex]
[tex]U_{2+1}=943[/tex], rearranging
[tex]kU_2+r=943[/tex], applying general formula
[tex]188k+r=943[/tex]..........(2)
Now (2) - (1) we get,
188k+r-37k-r = 943-188
151k = 755
k = 755/151 = 5
Hence the value of k is 5.
Substituting the value of k in (1) we get,
37*5+r = 188
185+r = 188
r = 188-185 = 3
Thus the value of r is 3.
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A fair die is rolled 4 times in succession. What is the probability that the number on each roll is strictly less than the number on the previous roll
The probability that the number on each roll is strictly less than the number on the previous roll is 7/72
The number of such results in which each number is not less than the previous number will be equal to the number of ways of choosing 4 numbers out of 6 with replacement; regardless of order!
Let us choose any such set of size 4, say {2, 1, 1, 3}. we can sort it to get the sequence {1,1,2,3}, which is one of our desired results. Thus, each sequence ordered in this way corresponds to one selection of size 4, with replacement and regardless of order.
The number of such selections will be equal to the number of solutions to the following equation:
x1 + x2 + x3 + x4 + x5 + x6 = 4
where:
x1: number 1 in selections
x2: number of 2s in selection
.
.
x6: number of 6s in selection
The number of unique solutions of such an equation = 9, choose 5 = 126
Number of possible outcomes = 6^4 = 1296
Probability of favorable results = 126/1296=7/72
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what is the sum of first 6 terms
Answer:
182
Step-by-step explanation:
Sum = a(r^n -1) ÷ r - 1
1(-3^6 - 1) ÷ -3 -1
= 182
r = t2 ÷ t1 * since they stated that it is geometric
What is the function written in vertex form? f(x) = 4(x 6)2 10 f(x) = 4(x 6)2 – 26 f(x) = 4(x 6)2 – 134 f(x) = 4(x 6)2 154
The required vertex form of the given equation is a) [tex]4(x-6)^2 +10[/tex] is correct
the function [tex]y=4x^2+24x+154[/tex] is given,
vertex form of a equation [tex]y=ax^2+bx+c[/tex] is given by [tex]y=a(x-h)^2+k[/tex].
since [tex]y=4x^2+24x+154[/tex]
Now h = - b/2a
h = -N
Now at x = 0
k = 10
vector form can be given by [tex]4(x+6)^2 +10[/tex]
The question is incomplete. The question could be:
what is the correct vertex form of equation [tex]y=4x^2+24x+154[/tex]?
a)[tex]4(x+6)^2 +10[/tex]
b)[tex]4(x-6)^2 -26[/tex]
c)[tex]4(x-6)^2 -134[/tex]
d)[tex]4(x-6)^2 +154[/tex]
Thus, the vector form of the given function is [tex]4(x+6)^2 +10[/tex]
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please answer the question no 3
as fast as possible
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The value of the given series is 240.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
The value of [tex]\log_{a^{\frac12}}(a)[/tex] will be equal to 2. Therefore, the series will become,
series = 2 + 4 + 6 + 8 + 10 + 12 + .... + 30
Now, as it can be observed that the given series is an arithmetic series, therefore, the number of terms in the series are,
30 = 2 + (n-1)1
28 = (n - 1)2
n - 1 = 14
n = 15
Further, the sum of the of the series will be,
sum = (15/2)[2(2) + (15-1)2]
sum = (15/2) [4 + 28]
sum = 240
Hence, the value of the given series is 240.
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N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16
i
Step-by-step explanation:
i
A small dairy farm writes a business plan. It includes a graph showing the estimated amount of feed used each day in thousands of pounds, y, compared to the number of years since the farm began operating, x.
What does the y-intercept represent?
the estimated amount of years the farm can afford feed
the maximum feed per day estimated for the life of the farm
the estimated amount of feed per day for the start of the farm
the maximum years the farm needs the originally estimated feed per day
The y intercept means , the estimated amount of feed per day for the start of the farm , Option C is the right answer.
What is a function ?A function is a law that relates two variables , independent and dependent variable.
It is given that
On y axis , amount of feed used each day in thousands of pounds,
On x axis, number of years since the farm began operating
The y intercept means x = 0 , which means at the starting of the farm , the feed needed per day.
Therefore Option C is the right answer , the estimated amount of feed per day for the start of the farm.
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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]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
Please Help Me Answer These
Answer:
Question 1 : -2 3/4 × 3 1/5 . Change the fractions to improper fraction and multiply .
= -11/4 × 16/5
= -176/20
= -44/5
= -8 4/5
Question 1 answer : -8 4/5Question 2: -4.6/-2
= -4.6/-2
= 2.3
Question 2 answer : 2.3Question 3: - 7/8 ÷ (-2)(-4)
= 7/6(-4)
= -7/4
Question 3 answer : -7/4Question 4 : -4 27/30
= -147/30
= -4.9
Question 4 answer : cQuestion 5 : -3 13/20
Question 5 answer : -3.65Therefore The answer are -8 1/4 , 2.3 , -7/4 , c , -3.65Angie’s rotation maps triangle XYZ to triangle X’Y’Z’. Which describes the rotation?
The rotation is 180 degrees in clockwise direction.
What is rotation?
The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.
The complete question is:
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
If we look at the coordinates carefully then we can see that the sign of the coordinates have been changed.
As, (x,y) to (-x, -y)
Hence, the rotation is 180 degrees rotation (x,y) to (-x, -y) in clockwise rotation.
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Select the correct answer.
Julissa is printing out coples for a work training. It takes 4 minutes to print a color copy, and It takes 2 minutes to print a grayscale copy. She
needs to print no fewer than 8 coples within 25 minutes.
Which system of Inequalities represents the number of color copies, ×, and grayscale coples, y, that Julissa can print to meet her goal?
The system of inequalities that represents the number of copies that Julissa can print to meet her goal is given by:
[tex]x + y \geq 8[/tex].[tex]4x + 2y \leq 25[/tex].What is a system of inequalities?A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.
The variables are given as follows:
Variable x: Number of color copies.Variable y: Number of gray scale copies.She needs to print no fewer than 8 copies, hence:
[tex]x + y \geq 8[/tex].
It takes 4 minutes to print a color copy and 2 minutes to print a grayscale copy. She has at most 25 minutes, hence:
[tex]4x + 2y \leq 25[/tex].
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What is the standard form of this function?
f(x) = (x-4)² + 2
Standard form of quadratic equation: ax² + bx + c
Here given equation: f(x) = -(x - 4)² + 2
Simplify the equation:
⇒ f(x) = -(x - 4)² + 2
Use perfect square formula: (a + b)² = a² + 2ab + b²
⇒ f(x) = -(x² + 2(x)(-4) + (-4)²) + 2
⇒ f(x) = -(x² - 8x + 16) + 2
⇒ f(x) = -x² + 8x - 16 + 2
⇒ f(x) = -x² + 8x - 14
[tex]\hrulefill[/tex]
Here given equation: f(x) = (x - 4)² + 2
Simplify the equation:
⇒ f(x) = (x - 4)² + 2
⇒ f(x) = x² + 2(x)(-4) + (-4)² + 2
⇒ f(x) = x² - 8x + 16 + 2
⇒ f(x) = x² - 8x + 18
Answer:
f(x)=x²-8x+18
Step-by-step explanation:
f(x) = (x-4)² + 2
To find the answer for the first part (x-4)², you need to use the formula.
This is the formula: (a-b)²=a²-2ab+b²
Plug in x for a and -4 for b.
(x-4)²=x²-8x+16
Now, put x²-8x+16 for (x-4)².
f(x)=x²-8x+16+2
Add like terms.
f(x)=x²-8x+18
Our answer is already in standard form because it is from greatest to least.
Hope this helps!
If not, I am sorry.
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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PLEASE HELP ME ASAP!
Answer:
44.7 units of time
Step-by-step explanation:
Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)If PR = 4x – 2 and RS = 3x – 5, which expression represents PS?
Answer:
The expression that represents the PS is 7x – 7 .
if I am right mark the answer as brainliest
The chart below shows the distribution of the number of books in a library.Sahira chooses a random sample from the library and records the type of books in the chart below.
Answer:
you have jbjhgbjhih7g6ginyfygino
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
The correct option is Option A: x > 38° this statement about x value is true.
Given in triangle ΔNPO the angle ∠ PNM is the exterior b to the interior angle ∠ PNO of the triangle.
Given the angle ∠NPO= 38°
∠PON= 39°
As we know the exterior angle is the sum of the two farthest interior angles of the triangle.
Then we can write the angle ∠PNM as
So, ∠PNM = ∠NPO + ∠PON
⇒ x = 38° + 39° = 77° {Given that ∠ PNM = 38° and ∠ PON = 39°}
{Since the exterior angle of an interior angle is equal to the sum of the other two interior angles of a triangle}
As x=77°
which satisfies the relation x=77° >38°.
Therefore,The correct option is Option A: x > 38° this statement about x value is true.
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Help question is in the pic
Which of the following is the appropriate notation when calculating
conditional probabilities?
A. P(EF)= P(E)+ P(F)- P(EUF)
B. P(EIF)=P(EnF)
P(F)
OC. P(EIF)=P(EA)
P(E)
D. P(EUF)=P(E) + P(F)-P(EF)
SUBMIT
The following are the appropriate notations is P(EIF)=P(E n F) / P(F).
What is Conditional Probability?Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.
As, from the property of conditional probability
P(EIF)=P(E n F) / P(F)
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Find the value of x ??
A. 31
B. 5
C. 11
D. 25