The graph of y = cosine (x + StartFraction pi Over 2 EndFraction) is the graph of the y = cos(x) shifted in which direction?
StartFraction pi Over 2 EndFraction units to the left
StartFraction pi Over 2 EndFraction units to the right
StartFraction pi Over 2 EndFraction units up
StartFraction pi Over 2 EndFraction units down
Answers
Answer:
pi/2 units to the left
Step-by-step explanation:
The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The graph will be shifted by (π/2) units to the left.
What is phase shift?The Phase Shift of a periodic function is the horizontal shift of the function from its normal position. The shift is either left or right.
For example, if the value of c in the function of sine is negative then the function will move towards the right side by the value of c, while if the value of c is positive then the function will towards the left.
The function y=cos(x) is a periodic function, while when the function is transformed to y=cos(x+ π/2), the phase shift of the function will be +(π/2) and that will be in the left direction from the normal position. Therefore, the graph will be shifted by (π/2) units to the left.
Learn more about Phase shift:
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Related Questions
Look at this set of 5 numbers:
5 3 5 5 6
By how much would the range increase if the number 8 were added to the set?
Answers
Answer:
The range would be increased by 2
3,5,5,5,6
The range for that set would be 3.
If 8 were added... 3,5,5,5,6,8
The range for that set would be 5.
Add "two" plus "eight" and type the numeric (integer) answer here:
Answers
Answer:
10
Step-by-step explanation:
When you add 2 integers with the same sign, you leave the signs out and add there absolute values. Example:
+2 + +8= I2I + I8I
I hope you learned from this answer.
Why: because you are adding two ALIKE SIGNS and the the answer will be alike.
Something to help you in future:
(+X+=+)
(-x- = -)
The above are alike signs
(+x- = -)
(-x+= -)
The above are unlike signs
Hope this helps!
If you answer this correct I mark you Brainelst:
Martha has eighteen marbles see loses 90 and then throws away her dignity whats the the answer? PS: you have to answer the dignity part to! If not then its wrong!
Answers
Answer:
72 and dignity is not important
Step-by-step explanation:
I think
Surface area of a cone in terms of pi
Answers
Need help please I don’t know it
Answers
Answer:
its h
Step-by-step explanation:
3/4th of 16 is 12
How to solve a system of equation using a graph?
Answers
Answer:
The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.
Step-by-step explanation:
I need help uwuwuwuwuwuauauuwuwuauaua
Answers
The answer is B
35+50+35+20=140
175-140= 35
What is the area of the kite?
Answers
Answer:168
Step-by-step explanation:
.5×16×21
8×21
Answer: 336in ^2
Step-by-step explanation:
multiply 16*21 =336in^2
A roller coaster uses the track in this picture. Where will the roller coaster car have the most kinetic energy?
W
X
Y
Z
Answers
Answer:
X because potential energy is high kinetic is low
Write the expression: 3 divided by the sum of x and 9. A) 3 + 9 x B) x 3 + 9 C) x + 9 3 D) 3 x + 9
Answers
how: 3 divided by the SUM or x and 9
sum means to add and therefore we have x+9 on the denominator.
Math question down below
Answers
Answer:
answer is E
Step-by-step explanation:
Answer:
Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)
Step-by-step explanation:
A. 2 x [tex]\frac{1}{9}[/tex] = [tex]\frac{2}{9}[/tex] (incorrect)
B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)
C. 2 ÷ 9 = 0.22 (incorrect)
D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)
E. 9 ÷ 2 = 4.5 (correct)
Question 16 (1 point)
A car depreciates at a rate of 6%. Lisa purchased a car for $23,000. Using the
appropriate decay factor how much should it be worth 10 years after Lisa
purchased it?
Answers
Answer:
After 10 years that Lisa has bought the car, her car will have an approximate value of:
$12388.15Step-by-step explanation:
As you can identify in the exercise, every time a year passes, the value of the car has a decrease of 6% of its value that year, so what you should do is take the initial value of $23,000 and multiply it by 94% (the remaining value of its price), then take this result and multiply it by 94% and so on 10 occasions (since they are ten years of depreciation) as I show you below:
Value after depreciation = 23,000 * 94% = 21,620 Value after depreciation = 21,620 * 94% = 20,322.8 Value after depreciation = 20,322.8 * 94% = 19,103,432 Value after depreciation = 19,103,432 * 94% = 17,957,226 Value after depreciation = 17,957,226 * 94% = 16,879,793 Value after depreciation = 16,879,793 * 94% = 15,867,005 Value after depreciation = 15,867,005 * 94% = 14,914,985 Value after depreciation = 14,914,985 * 94% = 14,020,086 Value after depreciation = 14,020,086 * 94% = 13,178,880 Value after depreciation = 13,178,880 * 94% = 12,388,148Therefore, it would have a value of approximately $12,388.15 after ten years of its purchase.
5. Ms. Peregrino is using her cards to call on
students in period 7. She has 34 students.
She has 2 girls with the same name. What is the probability of Ms.peregrino calling in those girls with the same name one after the other?
Answers
Answer: 2/34
Step-by-step explanation: there are 2 sticks with the same name and the total number of students are 34 so its 2/34
Please help
find the area of a trapezoid base 1 measures 20 ft base 2 messages 10 ft height measures 3 ft
Answers
Answer:
Step-by-step explanation:
(20+10)*3/2 = 45
Answer:
45 ft squared
Step-by-step explanation:
Area of a trapazoid = a plus b divuded by 2 times h
20 plus 10 divided by 2 equals 15
then 15 times 3 equals 45
Find the volume of the oblique rectangular prism with length 8 cm, width 7 cm, and height 9 cm.
Answers
Answer:
48
Step-by-step explanation:
2 x 8 + 2 x 7 + 2 x 9 = 48
HOPE IT HELPS!!!!
Express your answer in scientific notation. 1.4 x 10^9 - 8.6 x 10^8
Answers
Answer: 5.4 x 10^8 on Khan Academy
The scientific notation of the expression is,
⇒ 5.4 × 10⁸
What is Scientific notation?Scientific notation is a way of writing a very large or very small numbers. For example; 230,000,000 can be written in scientific notation as 2.3 x 10⁸.
Given that;
The expression is,
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
Now, Simplify the expression as;
⇒ 1.4 x 10⁹ - 8.6 x 10⁸
⇒ 14 x 10⁸ - 8.6 x 10⁸
⇒ (14 - 8.6) × 10⁸
⇒ 5.4 × 10⁸
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Please write the linear equation when m=30 and b=20
Answers
Answer:
y = 30x + 20
Step-by-step explanation:
The equation of a line is
y = mx+b
where m is the slope and b is the y intercept
y = 30x + 20
need answer as soon as possible
Answers
Answer:
I(n)=(n4)+−5n3+45n2−70n+2424⋅δ2(n)
−3n2⋅δ4(n)+−45n2+262n6⋅δ6(n)+42δ12(n)
+60n⋅δ18(n+35n⋅δ24(n)−38n⋅δ30(n)
−82n⋅δ42(n)−330n⋅δ60(n)−144n⋅δ84(n)
R(n)=n4−6n3+23n2−42n+2424
+−5n3+42n2−40n−4848⋅δ2(n)−3n4⋅δ4(n)
+53n2+310n12⋅δ6(n)+49n2⋅δ12(n)
+32n⋅δ18(n)+19n⋅δ24(n)−36n⋅δ30(n)
−50n⋅δ42(n)−190n⋅δ60(n)−78n⋅δ84(n)
−48n⋅δ90(n)−78n⋅δ120(n)−48n⋅δ210(n)
Step-by-step explanation:
Can someone pls help
Answers
Answer:
a) At what time does Bethan arrive home from school?
The answer would be C) 15:30
b) What distance does Siobhan travel each day when going to school and back?
The answer would be D) 16km
Step-by-step explanation:
Hattie accepted a job as a makeup artist after being offered a $550 signing
bonus. If she makes $32 an hour, which equation models Hattie's total pay y,
in dollars, as it relates to the number of hours x that she works?
Answers
The equation would be y=32x+550. 32 an hour is represented by 32x since she earned 32 an hour. 550 is the extra amount she is getting paid.
I hope this helps.
Answer:
y=32x+550
Step-by-step explanation:
Lily wants to buy a new smartphone. She has $500 to spend. List three ways she can get a good deal.
Answers
Answer:
get a coupon find a cheap on or steal it or get a discountAnswer:
She could use coupon deals, she could research what stores have it cheapest, see what deals online has
How many extraneous solutions does the equation below have? StartFraction 9 Over n squared + 1 EndFraction = StartFraction n + 3 Over 4 EndFraction 0 1 2 3
Answers
Answer:
a. 0
Step-by-step explanation:
hope this helps!
The solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, 9/(n²+1) = (n+3)/4.
Here, 9×4=(n²+1)×(n+3)
36=n²(n+3)+1(n+3)
36=n³+3n²+n+3
n³+3n²+n+3-36=0
n³+3n²+n-33=0
The equation n³+3n²+n-33=0 can be solved by factoring. The factors of -33 are -1 and 33. Since the coefficient of the n³ term is 1, this means that n-1 and n+33 are factors of the equation.
Dividing both sides of the equation by n-1, we get:
n²+3n+33/(n-1)=0
Factorizing the numerator, we get:
(n+11)(n+3)=0
Solving this equation, we get n=-11 and n=-3.
Therefore, the solutions to the equation n³+3n²+n-33=0 are n=-11, n=-3, and n=1.
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help me you don’t have to explain!!
Answers
Answer:
option b ................
how many lines of symmetry does the quadrilateral below have.
A. 0
B. 1
C. 2
Which of the following are magnitudes for rotational symmetry of the quadrilateral below about the marked point.
A.30
B.90
C.180
D.None of the above
Answers
Answer:
C; A
Step-by-step explanation:
(coming from an 8th grader :)
1. should be A, because on each side of the quadrilateral there are two lines being mirrored.
2. should be C, because the angles are acute and not right or straight. you may be thinking “but there is a straight line” yes, you are right there’s a straight line, but there’s multiple angles consisted in making one whole angle.
Find the vertex of the parabola whose equation is y = x^2 - 4x + 6.
(-2, 18)
(2, 2)
(2,6)
Answers
The vertex of the parabola is B. ( 2, 2)
Hope this helps !
the product of 16 and the variable of p
Answers
Answer:
16p
Step-by-step explanation:
The product means multiply
16*p
16p
Answer:
When variables are next to a number or another variable it means multiply
Product means multiply
16 x p is what the sentence means in an equation and 16p is equal to 16 x p so B. is correct
Step-by-step explanation:
A surgical technique is performed on eight patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work.
Answers
Answer:
20.31%
Step-by-step explanation:
a) Construct a binomial distribution.
P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2 and n = 8
b) Find the
mean = np = 8%2A.8+=+6.4
variance = npq = 6.4%2A.2+=+1.28
standard deviation of the probability distribution.sqrt%281.28%29
c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 = .2936 or 29.36%
d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)
= 1 - .1678 - .3355 - .2936 = .2031 or 20.31%
HOPE THIS HELPS PLZ MRK BRAINLIEST
2/3 + (-5/7)
.........
Answers
Answer:
-1/21
Step-by-step explanation:
2/3 + -5/7
Get a common denominator of 21
2/3 *7/7 = 14/21
-5/7*3/3 = -15/21
14/21 - 15/21 = -1/21
Answer:
-1/21
Step-by-step explanation:
2/3 + (-5/7)
2/3 - 5/7
Lcm: 21
(2×7 - 5×3)/21
(14 - 15)/21
-1/21
What is the equation of the line tangent to the function y(x) = 2x +34 at the point (-2,2)?
Answers
Answer:
.
Step-by-step explanation:
Which r-value suggests a strong negative correlation?
A. r = 0.1859
B. r=-0.1859
C. r = 0.9874
D. r=-0.9874
Answers
Answer:
i think the correct answer is c sorry if im wrong
