Answer:
We can predict the vertex point of [tex]g(x)[/tex] by vectorial sum, which is equal to [tex]V_{G}(x,y) = (h - 3, k + 7)[/tex].
Step-by-step explanation:
The vertex of [tex]g(x)[/tex] is equal to the vectorial sum of the vertex of [tex]f(x)[/tex] and the translation vector:
[tex]V_{G}(x,y) = V_{F}(x,y) + T(x,y)[/tex] (1)
Where [tex]T(x,y)[/tex] is the translation vector.
If we know that [tex]V_{F} (x,y) = (h,k)[/tex] and [tex]T(x,y) = (-3, 7)[/tex], then the formula for the vertex of [tex]g(x)[/tex] is:
[tex]V_{G}(x,y) = (h,k) +(-3, 7)[/tex]
[tex]V_{G}(x,y) = (h - 3, k + 7)[/tex]
James is having a party. He has worked out how much food he needs to buy per person and goes to the shop to buy the things he needs.
Per person:
-3 slices of pizza
-25g of crisps
Crisps come in 300g packets
8 Slices per pizza
James is expecting 15 people to be there including himself
How many pizzas and packets of crisps does he need to buy?
Step-by-step explanation:
Help me please and thank you
Answer:
use formula
area =1/4*π*d^2
81π=1/4*π*d^2(here two pie gets cancel)
81=1/4*d^2
81*4=d^2
[tex]\sqrt{324}[/tex]=d
18=d
Step-by-step explanation:
Answer my question about the photo
Which value cannot represent the probability of an event occurring?
0.01
2
85
62.5%
1.1
Answer:
Your answer will be [tex]D/1.1[/tex].
Step-by-step explanation:
I did this on edge just a second ago and got it correct! Therefore, [tex]D/1.1[/tex] will be your final answer.
Mark me brainliest if you can when someone else answers. If not then it's alright! I'm happy that I helped you. Have a good day! :D
Answer:
1.1
Step-by-step explanation:
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points. What is the expected value of drawing a card in this game on the first turn?
A. 3.7 points B. 6 points C. 6.3 points D. 9.5 points
Answer:
Expected value of drawing a card in this game on the first turn = 6
Step-by-step explanation:
Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.
To find - What is the expected value of drawing a card in this game on the first turn?
Formula used -
Expected value, E[x] = ∑ x p(x)
where p(x) is the probability
Proof -
Total cards in a standard deck = 52
Total face cards = 12 (a jack, a queen, or a king)
Other cards = 40
Now,
Probability of getting a face card = [tex]\frac{12}{52}[/tex]
Probability of getting a other card = [tex]\frac{40}{52}[/tex]
So,
Expected value, E[x] = ∑ x p(x)
= (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])
= [tex]\frac{192}{52} + \frac{120}{52}[/tex]
= [tex]\frac{312}{52}[/tex]
= 6
∴ we get
Expected value of drawing a card in this game on the first turn = 6
So,
The correct option is - B. 6 points
An example for my question before
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeAmanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
https://brainly.com/question/14323743
Find the value of x in the figure and choose the correct result,
What polygon is shown below?
octagon
decagon
dodecagon
hexagon
Answer:
octagon
Step-by-step explanation:
there is 8 sides in total :)
NEED HELP ASAP!!! MARK BRAINLLEST IF ITS CORRECT
NO LINKS!!!!!!!!!!!!
-177147x^28
Hope this helps lol
Solve 2
Any links, fake answers for points will be reported.
francis has 6 chocolate bars. he give one to john and one to chester. he keeps the rest. for himself. what friction of the chocolate. bars did he give away?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
4/6Hope it helps!
Brainliest pls!
Follow me! :)
HELPPPPP!!!!!!!!! PLS ! HURRY
Answer:
-2 and 4
Step-by-step explanation:
The zeros of a function are when the function equals 0.
To make (x+2)(x-4) be zero, either the x+2 term or the x-4 term need to be equal to zero. Because any number multiplied by 0 is 0.
So, set x+2=0 solve for x=-2
Set x-4=0 solve for x=4
A bird flies at an average speed of 62 miles an hour.
At this rate, how many miles will the bird fly in 7 hours?
Answer:
434 miles
Step-by-step explanation:
1hr = 62 miles
7hr = 434 miles
62 times 7 = 434
find the quotient below. Write the answer as a fraction in simplest form 2/5 divided by 1 7/8
hapter 9: Chapter 9 What You Le
Write in slope-intercept form an equation of the line that passes through the given points
(6,8), (3,-9)
A function is given by f(x) =
[tex] \sqrt[4]{x} [/tex]
Evaluate f'(16).
Answer:
[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]
f'(16) is x = 16 for the derivative f'(x)
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f(x) = x^{\frac{1}{4}}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{1}{4} - 1}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{-3}{4}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \frac{1}{4x^{\frac{3}{4}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(16) = \frac{1}{4(16)^{\frac{3}{4}}}[/tex]Evaluate exponents: [tex]\displaystyle f'(16) = \frac{1}{4(8)}[/tex]Multiply: [tex]\displaystyle f'(16) = \frac{1}{32}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
45600 cm to mL *
how do you convert that
Answer:
45600 cm = 45600 mL
Step-by-step explanation:
1 milliliter = 1 cubic centimeter
28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
How to do this please Explain Thank you
Answer:
x = 47
Step-by-step explanation:
There Are Many Methods In Which You Can Do It.
X = 47 ( Alternate Angles) //Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines.
Step-by-step explanation:
X=47due to alterNate anglr
Factorize the algebraic expression:
10y²+13y-3
Brian's math test scores are: 86, 90, 93, 85, 79, 92. What is the mean and median?
Answer:
Median: 89
Mean: 87.5
Step-by-step explanation:
86, 90, 93, 85, 79, 92
93, 85
93 + 85
178
178/2
89
86 + 90 + 93 + 85 + 79 + 92
525
525/6
87.5
The diagram shows rectangle ABCD, with diagnal BD. What is the perimeter of rectangle ABCS, to the nearest tenth?
Answer:
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
Step-by-step explanation:
Given:
Hypotenuse BD = 12 unit
Angle θ = 30°
Find:
Perimeter of rectangle ABCD
Computation:
Using trigonometry function
Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
Cos θ = Base / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Perimeter of rectangle ABCD = 2[Length + Width]
Perimeter of rectangle ABCD = 2[6 + 10.4]
Perimeter of rectangle ABCD = 2[16.4]
Perimeter of rectangle ABCD = 32.8 unit (Approx.)
The perimeter of rectangle ABCD = 32.8 unit
We have given that,Hypotenuse BD = 12 unit
Angle θ = 30°
To find the perimeter of rectangle ABCD
Using trigonometry function
What is the formula for the sin ratio?Sin θ = Perpendicular / Hypotenuse
Sin 30 = CD / BD
0.5 = CD / 12
Length of CD = 6 unit
What is the ratio of cos theta?Cos θ = adjucent side / Hypotenuse
Sin 30 = BC / BD
0.866 = BC / 12
Length of BC = 10.4 unit
Formula for the perimeter of rectangle ABCD = 2(Length + Width)
Perimeter of rectangle ABCD = 2(6 + 10.4)
Perimeter of rectangle ABCD = 2(16.4)
Therefore,the perimeter of rectangle ABCD = 32.8 unit
To learn more about the perimeter visit:
https://brainly.com/question/19819849
Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a
Answer:
The measure of angle a is of 140º.
Step-by-step explanation:
Supplementary angles:
If two angles are supplementary, their measures add to 180º.
Angle a and angle b are supplemetary angles.
This means that
<a + <b = 180º.
m angle a = (5x+25) and m angle b = (x+17)
So
[tex]5x + 25 + x + 17 = 180[/tex]
[tex]6x + 42 = 180[/tex]
[tex]6x = 138[/tex]
[tex]x = \frac{138}{6}[/tex]
[tex]x = 23[/tex]
Measure of angle a:
[tex]<a = 5x + 25 = 5(23) + 25 = 140[/tex]
The measure of angle a is of 140º.
Help me and show your work.
Answer:
Infinite solutions
Step-by-step explanation:
Equation 1:
4x-6y=4
3(4x-6y=4)
12x-18y=12
Equation 2
(12x-18y=12)/3
4x-6y=4
They are the same equation, therefore, there are infinite solutions
Find The Value Of X.
Answer:
Tan 30 =, 14/x
Then x= 14/tan 30
So x=14 root 3
Please help with this im desperate (that prolly made me sound bad)
is this function quadratic?
y+6x=14
Ray digs a garden plot that is 30 feet wide and 20 feet long. Bell takes a garden plot that is half as wide, but has the same length as Ray’s plot. How do the dimensions of an area of the two garden plots compare?
Leona gets paid $10.00 every 3 bracelets she sells. Which graph below shows a relationship with the same unit rate?
Answer:
D.
Step-by-step explanation:
Table of values:
X Y
3 10
6 20
9 30