Answers
Answer:
r(q(2)) = 11
Step-by-step explanation:
given r(x) = x^2 + 2, and q(x) = -2x + 1.
Here is the equation to the composite function:
r(q(x)) = (-2x+1)^2 + 2 = 4x^2-4x+3 .
Then just substitute the input and solve:
r(q(2)) = 4(2)^2- 4(2) + 3 = 16 - 8 + 3 = 16 - 5 = 11
______________________________
Or if you don't like this, first find the answer to q(2) = -2(2) + 1 = -3
Then substitute this value into the second equation r(x).
r(x) → r(-3) = (-3)^2 + 2 = 9 + 2 = 11
Related Questions
Find each value for the geometry triangles below
Answers
Answer:
14. x=18
Step-by-step explanation:
For 14 you can see that all the angles must add up to 180.
Setup the equation 5x+2x+x=180 and solve for x
For 15 do the same thing, add up all of the lengths and substitute the missing one as W. Set them equal to 360 and you should get your answer.
Identify the coefficients: -3h - 2h + 6h +9
Answers
Answer:
its -3h,-2h,6h
Step-by-step explanation:
hope i helped
Got a #30 question math quiz paying $10 anyone , send your socials or #
Answers
This sounds sus to me ┐(￣ヘ￣)┌
What’s 1 times 5 times 2?
Answers
Answer:
10
Step-by-step explanation:
Answer:10
Step-by-step explanation:1×5=5×2=10
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answers
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
A day care center has 52 children. Each teacher has the same number of children. How many children could each teacher at the center have.
Answers
Answer:
The answer to this question would depend on how many teachers are available in the day care center.
If every teacher is to have the same number of children then the number of teachers will be factors of 52 which are more than 1;
2, 4, 13, 26, 52
If there are 2 teachers, each teacher will have 26 children
If there are 4 teachers, each teacher will have 13 children
If there are 13 teachers, each teacher will have 4 children
If there are 26 teachers, each teacher will have 2 children
If there are 56 teachers, each teacher will have 1 child
A contractor bought 8?2 ft2 9f sheets of metal. she has used 3.5ft2 so far has 84.60 worth of sheets metal remaining. the equation 8.2x-3.5x=84.6 represents how much sheet is remening and the cost of the remaining. how much does the sheet metal cost per square foot?
Answers
Answer:
The ratio 19/25 is the same as 76/100, or 0.76.
Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.
Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.
Step-by-step explanation:
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answers
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
Caroline wants to buy a pair of shoes that has an original price of $50.00. She has a coupon for a 40% discount off of the original price. What is the final
cost for Caroline's shoes?
А
$10
B
$20
С
$30
ОО
D
$48
Answers
Answer:
your new should be c $20
The final cost is $30.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
The original price of the coat = $50
Discount = 40%
Now,
The final cost.
= (100 - 40)% of 50
= 60% x 50
= 60/100 x 50
= $30
Thus,
The final cost is $30.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ6
7 + (−3) simplify
please
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
When you add a negative number, you're basically subtracting it.
7 - 3 = 4
Hope this helps! Good luck :)
helpppppppppppppppppp
Answers
how much was the second one?
How many proportional relationships are shown in the coordinate plane below? Please answer quick
Answers
Answer:
The answer is 1
Step-by-step explanation:
There is 1 proportional relationship in the graph
If A= (-1,-3) and B= (11,-8) what is the length of AB?
Answers
Answer:
AB is 13
Step-by-step explanation
Hello, I wanted to leave you this photograph of mathematics that I think will be very useful to some of you, observe it
Answers
Answer:
yes
Step-by-step explanation:
Answer:
thank you
Step-by-step explanation:
:)
Name all rays with endpoint E
Answers
Answer: Is there an image??
AE, BE, CE, and DE is the rays with endpoint E.
What is a vector?An item with both magnitude and direction is referred to be a vector.
A vector can be visualized geometrically as a straight spline, with a pointing in the orientation and a length equal to the value of the vector.
Geometrical objects with magnitude and direction are called vectors.
A line with an arrow in its direction can also be used to represent a vector, and the length of the line relates to the vector's amplitude.
Given the figure,
The endpoint of all rays is E.
The rays associated with point E are;
AE, BE, CE, and DE
Hence "AE, BE, CE, and DE is the rays with endpoint E".
For more information about vector,
brainly.com/question/13322477
#SPJ2
What is the distance from the origin to point P graphed on the complex plane below?
Answers
Write each phrase as an expression.
Double the sum of x and 4.
Answers
your answer should be 2(x+4)
What is the total number of digits required in numbering the pages of a book, which has 1,150 pages?
Answers
There is a total of 4,693 digits in the book.
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
speed = distance over time ; 1 mile = 1609 meters.
Answers
Answer:
10.4 meters per second i think?
Step-by-step explanation:
Distance= 70 miles
Time = 3 hours
70/3= 23.3333
Speed is approx 23.3miles per hour
A company has developed a new type of light bulb and wants to estimate its mean lifetime. A simple random sample of 100 bulbs had a sample mean lifetime of 750.2 hours with a sample standard deviation of 30 hours. Construct a 98% confidence interval for the population mean lifetime of all bulbs manufactured by this process.
Answers
Answer:
hh
Step-by-step explanation:
JHWKHvksdhvdsjKdsk
Find the slope of the line going through the points
(7,13) and (7,6). Write your answer in simplest
form. If the slope is undefined, write "undefined".
Answers
Answer:
Dont ask me
Step-by-step explanation:
Okay!!!!!
In order to find this answer use the equation m=y2-y1/x2-x1 to plug in the value of the points and subtract. Then , if you plug it in correctly, you would get -7/7 which simplifies to -1.
Hope this helped:)
The set {1,2,3,4,...} is called the set of
Answers
This is an example of a finite set
I hope this is the answer you're looking for :)
What is 6√2⋅√11−2√22 expressed in simplified form?
Answers
Hope this help you!!! :))
What is the value of x in this equatain x/2 - x = x/4 + 6
Answers
Answer:
x=-8
Step-by-step explanation:
What is the standard form of 3.457
Answers
Answer:
3.457 is already in standard form.
Step-by-step explanation:
I need help !!!!!!!
Answers
Given , KM = 22
Then JL =
This trapezoid is an isosceles trapezoid which means its diagonals will be equal . So ,
KM = JL ( the diagonals in an isosceles trapezoid are congruent )
22 = JL
JL = 22
Therefore , JL = 22 .
Solution (6) :Given , DF = 8.7
Then , EG =
Since this trapezoid is an isosceles trapezoid , its diagonals will be equal . So ,
DF = EG ( the diagonals in an isosceles trapezoid are congruent )
8.7 = EG
EG = 8.7
Therefore , EG = 8.7 .
Period of y=2tan (2x+90) -1
Answers
I hope this help
Select the
Suppose Phil reads a book that contains 16 conspiracy theories. When he researches the
theories, he finds that 75% of them are false. How many of the theories are true?
Answers
Answer:
4 of the conspiracy theories were true
Step-by-step explanation:
Percentages
Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.
25% of 16 is 25 * 16 / 100 =400 / 100 = 4
Thus, 4 of the conspiracy theories were true
Tim used the expression n3 to determine the volume of a cube where n represents a side length of the cube. Using this expression, what is the volume, in cubic inches, of a cube with a side length of 3.5 inches?
Answers
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
It took Jesse 195 minutes to write an essay for school.
How many hours did it take Jesse to write the essay for
school?
Answers
Answer: 3 hours and 15 minutes
Step-by-step explanation:
Answer:
Time taken by Rahm to write the essay and finish the science project = 12.5 hours
Step-by-step explanation:
Now, we need to find the total time spent by Rahm to finish the both writing the essay and the science project.
Hence, Time taken by Rahm to write the essay and finish the science project = 12.5 hours