Answer:
[tex]Phase\ Shift = -\frac{c}{b}[/tex]
Step-by-step explanation:
See comment for complete question
Given
[tex]f(x) = Asin(bx+c)+d[/tex]
Required
Determine an expression for the phase shift
[tex]f(x) = Asin(bx+c)+d[/tex]
Factorize the expression in bracket
[tex]f(x) = Asin(b(x+\frac{c}{b}))+d[/tex]
The general expression is:
[tex]F(t) = A f(B(t - C/B)) + D[/tex]
Where:
C/B is the phase shift
By comparing the general expression with: [tex]f(x) = Asin(b(x+\frac{c}{b}))+d[/tex]
[tex]-\frac{C}{B} = \frac{c}{b}[/tex]
Multiply both sides by -1
[tex]\frac{C}{B} = -\frac{c}{b}[/tex]
Hence:
[tex]Phase\ Shift = -\frac{c}{b}[/tex]
What amount of water fills a glass
Answer:
depends on the glass
Step-by-step explanation:
Step-by-step explanation:
it depends of the size of the glass and the measurement of the amount of water the glass can carry
Find the area of the region enclosed by the graphs of the functions
f(x)=x^2, g(x)=x^6
by partitioning the x- axis.
(Use symbolic notation and fractions where needed.)
Answer:
[tex]\displaystyle A = \frac{8}{21}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFunctionsFunction NotationGraphingSolving systems of equationsCalculus
Area - Integrals
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
*Note:
Remember that for the Area of a Region, it is top function minus bottom function.
Step 1: Define
f(x) = x²
g(x) = x⁶
Bounded (Partitioned) by x-axis
Step 2: Identify Bounds of Integration
Find where the functions intersect (x-values) to determine the bounds of integration.
Simply graph the functions to see where the functions intersect (See Graph Attachment).
Interval: [-1, 1]
Lower bound: -1
Upper Bound: 1
Step 3: Find Area of Region
Integration
Substitute in variables [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx[/tex][Area] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx[/tex][Area] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{2}{3} - \frac{2}{7}[/tex][Area] Subtract: [tex]\displaystyle A = \frac{8}{21}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Anna is making a sculpture in the shape of a triangular prism. The triangular bases have sides of 10m 10m and 12m and the height is 8m. She wants to coat it in a special finish so it preserves longer. if the sculpture is 5m thick what is the total area she will have to cover with the finish
What are the zeros of the quadratic expression 3x2 - 6x - 24?
Answer:
3(x−4)(x+2)
Step-by-step explanation:
What is the sum of the x minus x bar squared? (this is the work you do on
the to variance and standard deviation. It is literally the step before you
find the variance) *
23, 17, 49, 59, 25, 78, 29
3,000
285
280
3,050
3,500
Answer is in the photo. I can only upload it to a file hosting service. link below!
tinyurl.com/wpazsebu
Write in expression form:
Seven times the quotient of 8 and 5
Answer:
7 x (8 ÷ 5)
hhhhhhhhhhhhhhhhhhhhhhhhhhh
Find the missing angle according to the Triangle Exterior Angle Theorem
Answer:its obviously 128
Step-by-step explanation:
Which
expression is equivalent to
-5/3 x
Answer:
The picture below will be at help, hopefully! ^^'
Step-by-step explanation:
The area of the rectangular painting is
given by the trinomial x^2 - 6x - 16. The
door's width is (x + 2). What is the door's
length?
Answer:
(x-8)
Step-by-step explanation:
you can test with FOIL, use division or synthetic division
The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Step-by-step explanation:
For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
Which of the following segments is tangent to the circle?
Help me with my homework fast pls
Answer:
2211.68
Step-by-step explanation:
V=πr^2h
V=π64*22
V=2211.68
If a certain factory produces 24 Pepsi bottles of one liter capacity each in 12 minutes,
approximately how many Pepsi bottles does it produce in one hour?
Answer:
It produces 120 bottles in one hour.
Step-by-step explanation:
This question can be solved by proportions.
24 Pepsi bottles of one liter capacity each in 12 minutes
24/12 = 2 bottles per minute.
How many Pepsi bottles does it produce in one hour?
One hour has 60 minutes. So
60*2 = 120
It produces 120 bottles in one hour.
can i get factors of 324
Answer:
Factors of 324: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Step-by-step explanation:
HELP !!!!!!!!!! PLEASEEEEEEE
Answer:
13.825, 13, -13 25/40
Answer:
13.825, 13, and -13 25/40
Step-by-step explanation:
Hope this helps :)
Which of the following shows a loss of $900?
A. +$900
B. $900
C. -$900
D. -$9.00
Approximate the volume of the solid. *round your answer to the nearest tenth.
Answer:
83.8 cm^3
Step-by-step explanation:
Volume of Cylinder = πr^2h
Volume of Full Sphere = 4/3πr^3
Solve the question f/3+22=17
Answer:
f=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Answer:
f=−15
The value of the variable f for the given expression is f=-15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is f/3+22=17. The value of f will be calculated as:-
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Hence, the value of f will be -15.
To know more about an expression follow
https://brainly.com/question/25968875
#SPJ2
What value of X guarantees that BC || DE?
Answer Choices:
1, 4, 5, 6.25
help me out :) & feel free to add an explanation <3
Answer:
4
Step-by-step explanation:
as BC║DE
so, AD:BD=AE:CE
or, CE=(BDₓAE)/AD
or, x=(5×16)/20=4
For a point on the unit circle, if θ lies in quadrant IV, what could be the value of cos(θ)? HINT: It's not B.
A. 3/5
B. sqrt41/5
C. -3/5
D. -sqrt41/5
Answer:
It is A. 3/5
I just took the test and got it correct and I hope this helps! :)
if x is my age then y is my friends age write and equation that gives the sum of our ages is 108. Write and equation given that my friends age Is double my age. what are our ages? find out by solving a system my age is and my friends age is
Answer:
Your age is 36 and your friends age is 72.
Step-by-step explanation: divide 108 by 3 (36) then take 2 of the thirds add them (72).
If x = 7 units and h = 4 units, then what is the area of the triangle shown above?
A.
28 square units
B.
42 square units
C.
14 square units
D.
8 square units
Here's link to the answer:
tinyurl.com/wpazsebu
A regular octagon with sides of length 8 and an apothem of length 9.66 has
an area of ___ square units
Α. 73.66
Β. 77.28
C. 17.66
D. 309.12
Ε. 38.64
F. 618.24
Answer:
D. 309.12
Step-by-step explanation:
The computation of the area is shown below:
As we know that
Area = a4s
where
a denotes apothem
s denotes side
So, the area is
= 9.66 (4) (8)
= 9.66 (32)
= 309.12 square units
a random sample of cats at different animal shelters in a city shows that 12 of the 60 cats are kittens. The city's animal shelters collectively house 1,200 cats each year. About how many cats in all of the city's animal shelters are kittens?
Answer:
240
Step-by-step explanation:
1200÷60=20×12=240
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. (a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. *** Complete sentences
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation:
Jenny is x years old. Thomas is 3 times as old as her. Jenny is 5 years older than Alexis.
A) Find Alexis's age in terms of x
B) Find Thomas's age in terms of x.
C) If x=12, how much older is Thomas than Jenny?
Answer:
C IS 36 CUZ 12X3=36
Step-by-step explanation:
sry i only can solve c
Find general solutions of the differential equation. Primes denote derivatives with respect to x.
6xy^3+2y^4+(9x^2y^2+8xy^3) yâ²=0
Answer:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
Step-by-step explanation:
From the differential equation given:
[tex]6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0[/tex]
The equation above can be re-written as:
[tex]6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0[/tex]
[tex](6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0[/tex]
Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.
Then;
M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:
[tex]\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}[/tex]
relating with equation M(x,y)dx + N(x,y) dy = 0
Then;
[tex]M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3[/tex]
So;
[tex]\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3[/tex]
[tex]\dfrac{\partial N}{\partial y }[/tex]
Let's Integrate [tex]\dfrac{\partial F}{\partial x}= M(x,y)[/tex] with respect to x
Then;
[tex]F(x,y) = \int (6xy^3 +2y^4) \ dx[/tex]
[tex]F(x,y) = 3x^2 y^3 +2xy^4 +g(y)[/tex]
Now, we will have to differentiate the above equation with respect to y and set [tex]\dfrac{\partial F}{\partial x}= N(x,y)[/tex]; we have:
[tex]\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1[/tex]
Hence, [tex]F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1[/tex]
Finally; the general solution to the equation is:
[tex]\mathbf{3x^2y^3+2xy^4=C}[/tex]
ssment L 4.10.4 Test (CST): Checking and Savings Question 2 of 25 Gwendolyn has $725,000 she wants to save. If the FDIC insurance limit per depositor, per bank, is $250,000, which of these ways of distributing her money between three banks will guarantee that all of her money is insured? O A. $240,000 in bank A, $240,000 in bank B, $245,000 in bank C B. $220,000 in bank A, $230,000 in bank B, $275,000 in banko C. $240,000 in bank A, $230,000 in bank B, $255,000 in bank C O D. $220,000 in bank A, $250,000 in bank B, $255,000 in bank C SUBLATT
Answer:
$250,000
Step-by-step explanation:
, but it is the only thing I
Answer:
$240,000 in bank a, $240,000 in bank b, $245,000 in bank c
Step-by-step explanation:
ap3xxxx babeyyy
Solve for x in the figure below
Answer:
x = 20
Step-by-step explanation:
5x - 21 = 2x + 39 (corresponding angles are congruent)
Collect like terms
5x - 2x = 21 + 39
3x = 60
Divide both sides by 3
3x/3 = 60/3
x = 20
A refrigerator is priced at $525 with a 6% sales tax. What is the sales tax for the refrigerator?
A $315.50
B $31.50
C $493.97
D $557.03
Answer:
B. $31.50
Step-by-step explanation:
525 x .06=31.50
Answer:
B. $31.53
Step-by-step explanation:
You must divide