What is the period of the function y=tan (4/pi (x-pi/3))
O 3 units
O4 units
O 6 units
O 8 units
Answers
Answer:
Period = 4 units
Step-by-step explanation:
Standard form of a tangent function:
[tex]f(x)=\sf A \tan(B(x+C))+D[/tex]
A = vertical stretchπ / |B| = period (distance between any two consecutive vertical asymptotes)C = phase shift (horizontal shift - positive is to the left)D = vertical shiftThe tangent function has a vertical asymptote whenever cos(x) = 0
The tangent function does not have an amplitude because it has no maximum or minimum value.
Given function:
[tex]y=\tan \left(\dfrac{\pi}{4}\left(x-\dfrac{\pi}{3}\right)\right)[/tex]
Therefore:
Vertical stretch (A) = none[tex]\textsf{Period}=\dfrac{\pi}{\left|\dfrac{\pi}{4}\right|}=4[/tex]Phase shift (C) = π/3 to the rightVertical shift = noneAnswer: 4 units
Step-by-step explanation:
Related Questions
If a cubic foot of stone weighs 150 lbs and a cubic foot of iron weighs 480 lbs, what fraction of the second weight is the first weight. 50 pts.
Answers
Answer:
[tex] \frac{150}{480} = \frac{15}{48} = \frac{5}{16} [/tex]
The weight of a cubic foot of stone is 5/16 the weight of a cubic foot of iron.
Can someone help me please
Answers
===========================================================
Explanation:
Focus on the endpoints (0,15) and (10,0). They are the y and x intercepts in that order. This is the starting point and ending point of the ball.
The average rate of change is the slope of the line connecting these endpoints. This is when we consider the entire time the ball is in the air.
Let's use the slope formula to get the following:
[tex](x_1,y_1) = (0,15) \text{ and } (x_2,y_2) = (10,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - 15}{10 - 0}\\\\m = \frac{-15}{10}\\\\m = -\frac{3}{2}\\\\[/tex]
The slope is -3/2, which is the average rate of change.
It tells us that the height is decreasing by 3/2 = 1.5 meters per second, which is an average speed.
In other words, the ball is going downward at an average speed of 1.5 meters per second.
Keep in mind the instantaneous speed of the ball is changing all the time. The result of -3/2 = -1.5 only applies to the average speed.
------------
Note how the slope formula involves computing the change in y (which was us computing [tex]y_{2} - y_{1} = 0 - 15 = -15[/tex]. It indicates the ball had gone down 15 meters when going from the start point to the ending point. This is the change in distance. The change in time is the [tex]x_{2} - x_{1} = 10-0 = 10[/tex] portion, meaning the duration is 10 seconds.
In short,
slope = rise/run
slope = (change in distance)/(change in time)
slope = (-15)/(10)
slope = -3/2
So this may be a better way to see what's going on rather than rely on a formula in the previous section.
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answers
Answer:
Step-by-step explanation:
Wrong
m∠R > m∠T
Correct
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠S
m∠S > m∠T
Answer:
Correct Answers:
m∠R > 90°
m∠S + m∠T < 90°
m∠R > m∠T
m∠R > m∠S
Wrong Answers:
m∠S = m∠T
m∠S > m∠T
Step-by-step explanation:
Finished on assignment. Found error is last response! Updated 7/2022
If x² + 1/x² = 102, then x -1/x =
a) 10
b) 8
c) 13
d) 12
Answers
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:A. \:\: 10[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 102[/tex]
[ subtract 2 from both sides ]
[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - 2 = 102 - 2[/tex]
[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - \bigg( 2 \sdot x \sdot \cfrac{1}{x} \bigg)= 100[/tex]
[ 2 can written like that, as they cancel out each other ]
Apply Identity [ a² + b² -2ab = (a - b)² ]
[tex]\qquad \tt \rightarrow \: \bigg (x - \cfrac{1}{x} \bigg) {}^{2} = 100[/tex]
[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = \sqrt{100}[/tex]
[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = 10[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
please answer this i need helppp
Answers
Answer:
D. between 5.4 cm and 6.5 cm
Step-by-step explanation:
The segment is about 6cm
and 6cm is between 5.4 and 6.5
The values in the table define the function f(x). If g(x) is the inverse of f(x), what is the value of g(1)? x f(x) -1 -3 1 -1 4 1 6 4 7 6 A. 1 B. 2 C. 3 D. 4 E. 5
Answers
The value of g(1) is 4 because (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know if the f(x) has inverse function g(x)
Let (x, y) satisfy the function f(x) then (y, x) must satify the function g(x)
f(x) has ordered pair = (4, 1)
Then g(x) has (1, 4)
g(1) = 4
Thus, the value of g(1) is 4 because (x, y) satisfy the function f(x) then (y, x) will satify the function g(x) option (D) 4 is correct.
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please help me i'll mark you as brainiest if u give me the right answers
Answers
Answer:
Here's your answer guy
Step-by-step explanation:
a)cat
b)8
c)6....
solve the system of equations and choose the correct ordered pair
3x+5y=6
4x+2y=-6
Answers
Answer: The answer is
x= -3
y= 3
Translate the following verbal statement into an algebraic equation and then solve:
Use x for your variable.
The difference of four times a number and seven is ten times the number.
Answers
If the statement is "The difference of four times a number and seven is ten times the number." then an algebraic equation is 4x-7= 10+x and the solution is -7/6.
Given the statement "The difference of four times a number and seven is ten times the number." We have to translate the statement in an algebraic equation and then solve it.
Let, the number be x.
This difference of four times a number and seven is 4x-7 and ten times the number is 10x
According to the question, the equation is,4x-7= 10x
4x-7=10x
6x=-7
x=-7/6
x=-7/6
Hence the value of the x is -7/6.
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what is Math?
who ever answer this question I shall mark him as brainiest.
Answers
Answer:
Maths is the subject which deals with numbers, calculations, areas, geometry etc
Various topics in maths are
trigonometry
geometry
airthmatic
etc
Which statement is true about the information in the double line graph?
A. The number of customers at 12:00 was less on Friday than Saturday.
B. There were more customers on Saturday than Friday.
C. The number of customers was less Saturday than Friday at 10:00 a.m. because many customers slept later.
D. The highest number of customers on both days was at 12:00 p.m.
Answers
Answer:
the answer is d as 38 31 which are highest
Step-by-step explanation:
a is false as 38>31 which is on Saturday
b is false as Saturday customers were less we can infer from the last three on Friday
c false as Saturday was 12 people and Friday 6 people
A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has an area
of 135 square units.
Part A
•
Write an equation to model the above scenario. Use the model to find the length of the original rectangle?
Part B
What is the perimeter of the expanded rectangle?
Answers
Answer:
The perimeter is 48
Step-by-step explanation:
If the width is W
AT first , Length is 10 +w
According to the question,
[tex](w+8) (10+w+4) = 135\\(w+8) (w+14) = 135\\\\w^{2} + 14w + 8w + 112- 135 = 0\\\\ w^{2} + 22w - 23 = 0\\(w+23) (w-1) = 0\\\\w+ 23 = 0 w-1=0\\\\w= -13 or w = 1[/tex]
Expended width will be w +8 = 1+8 = 9
Length is 10+w+4 = 15
So the perimeter is
= i2 x (9+15)
= 2x 24
= 48
The Solution to the problem of the rectangle is given below
For Part A:
equation model: (14 + w) * (w +8) = 132Length = 15For Part B
Perimeter = 46Meaning of Perimeter
The perimeter of any shape can be defined as the total sum of the sides of the shape.
AnalysisFor Part A
equation model= (14 + w) * (w +8) = 135
14w + 112 + 8w + [tex]w^{2}[/tex] = 135
[tex]w^{2}[/tex] + 22w - 23 = 0
solving the quadratic equation
w = -23 or 1
Because we are dealing with a physical quantity we will make use of the value 1
lenght of original rectangle = 10 + 1 = 11
Part B
Perimeter= 2(length) * 2 (breadth) = 2(11 + 4) * 2 (1 + 8)
Perimeter = 48
In conclusion, The Solution to the problem of the rectangle is given above.
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Solve for x (12x-7)/4=(5x+18)/3
Answers
Answer:
Step-by-step explanation:do i know u
Answer:
x= 5.8125
Step-by-step explanation:
Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]
Since we have one fraction equal to another fraction, we can cross multiply.
(12x -7)(3)= 4(5x +18)
Expand:
36x -21= 20x +72
Bring all the x terms to one side, constant to the other:
36x -20x= 72 +21
Simplify:
16x= 93
Divide both sides by 16:
[tex]x= \frac{93}{16}[/tex]
x= 5.8125
Additional:
Here is a similar question which you may wish to check out
https://brainly.com/question/18219612In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,
how many Hoosiers will have a home phone in 2011? Round to two-decimal places.
Hoosiers
Pause test
Answers
3286000x4/100=131440
131440x11=1445840
3286000-1445840=1840160
Answer: 1840160
this is the answer I got but for some reason the answer didn't turn out to be in decimal :( but I sware this is the answer I got
The polynomial p(x)=1-2x^2-3x^3+4x has what order?
Answers
Simplify 14(1−23)2+13
Answers
Answer:
-603Step-by-step explanation:
Simplify 14(1−23)2+13
Remember PEMDAS
14 * (1 - 23) * 2 + 13 =
14 * (-44) * 2 + 13 =
-308 * 2 + 13 =
-616 + 13 =
-603
Point G is on line segment FH. Given FH=4x+8,FH=4x+8, FG=x,FG=x, and GH=5x,GH=5x, determine the numerical length of \overline{GH}. GH .
Answers
The numerical length of GH is 20.
Given, FH=4x+8, FG=x and GH=5x.
We need to determine the numerical length of GH.
What is a line segment?In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.
Given Point G is on the line segment FH, then FG + GH = FH.
Now, substitute the given values into the formula as shown:
x + 5x = 4x + 8
6x = 4x + 8
6x - 4x = 8
2x = 8
x=4
To get the length of GH substitute x=4 for 5x
That is, GH = 5(4)= 20
Hence, the numerical length of GH is 20.
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The function y = f(x) is graphed below. What is the average rate of change of the
function f(x) on the interval -8 ≤ x ≤ 8?
Answers
The average rate of change of the function is -35/16.
How to find the average rate of change of the function?We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.
so
at x₁ = -8, f(x₁) = f(-8) = 30
at x₂ = 8, f(x₂) = f(8) = -5
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(8) - f(-8) ] / [8-(-8)]
= [-5 - (30)] / [16]
= [-35] / 16
Therefore, the average rate of change of the function is -35/16.
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Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW
4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.
Complete the two-column proof.
♣ =
♦ =
♠ =
Answers
The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore
How to complete two column proof?We are given that;
∠T ≅ ∠V and ST || UV
From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.
The second missing proof is Transitive property because angles are congruent to the same angle.
The last missing proof is Converse alternate interior angles theorem
because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.
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Answer:
Given: ∠T ≅ ∠V; ST || UV
Prove: TU || VW
4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.
Complete the two-column proof.
♣ =
✔ alternate interior angles theorem
♦ =
✔ transitive property
♠ =
✔ converse alternate interior angles theorem
Step-by-step explanation:
If you receive a 20% DISCOUNT off an item costing $20.00, how much money do you save?
Answers
Now you multiply 20x0.2= 4
You save $4
I know this because all you have to do while finding percentages is to take the first number of the % and the first number of the cost which will be 2x2= $4 saved
if f (x) = 3x + 5/x , what is f(a+2)?
Answers
Answer:
f(a+2)=3a+11/a+2
Step-by-step explanation:
you buy a car for 13000
Answers
The correct answer is option D which is the model will be
A = 13000( 0.72 ) [tex].^t[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
The cost of the car is $13000.The depreciation is 28%.The expression will be formed as:-
As we can see that the depreciation of the car per year is 28% so the amount of the car is decreased by 28 percent every year.
Now the remaining value of the car will be 100 - 28 = 78%. So the expression will be given as:-
A = 13000( 0.72 ) [tex].^t[/tex].
Therefore the correct answer is option D which is the model will be
A = 13000( 0.72 ) [tex].^t[/tex].
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What is the inverse of the function f(x) = 4x + 8?
Answers
Answer: A. h(x) = 1/4x - 2
Step-by-step explanation:
f(x) = 4x + 8
find the inverse...
A.
[tex]h(x) = \frac{1}{4} x-2[/tex]
[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]
[tex]f(x)=x-8+8[/tex]
[tex]f(x)=x[/tex]
[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]
[tex]h(x)=x+2-2[/tex]
[tex]h(x)=x[/tex]
Since they both come out to 'x', they are inverses of each other.
f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses
Explanation: Interchange X and y
X=4y+8 swap the sides of the equation
4y+8=X Move the constant to the right-hand side and change its sign
4y=X-8 divide both sides
Answer: 1/4x-2
A blueprint of a house shows a dining room with
an area of 7 square inches. If the blueprint's
scale is 1 inch: 6 feet, what would be the actual
area of the dining room?
A = 7 in.²
Actual Area = [?] ft²
Answers
Answer: The Actual area of the dining room is 252 square feet.
Explanation:
How to Find the Actual Area Using Scale?
Given that the area of the house on a blueprint = is 7 square inches.
The scale of the blueprint = is 1 inch: 6 feet.
Therefore, we would have the following proportion:
The area on the blueprint/actual area = square of the scale
7/actual area = 1²/6²
7/actual area = 1/36
Actual area = (7)(36)
Actual area = 252 square feet.
p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10
Answers
[tex]\huge\underline{ Answer -}[/tex]
Given ,
[tex]\boxed{p = \frac{f}{a} } \\ [/tex]
where ,
the initial values of a and f are -
a = 70
a = 20
To find - value of p if the values of a and f are increased by 10[tex]\therefore \: f = 80 \\ a = 30[/tex]
Then ,
[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]
hope helpful ~
What are the values of x and y? A) x = 4sqrt(3) y 8√3 B ) x = 8; y = 4 ) x = 8sqrt(3); y = 4sqrt(3) D) x = 6sqrt(3); y = 3sqrt(3)
Answers
Answer:
C.
Step-by-step explanation:
IF YOU SEE A RIGHT ANGLED TRIANGLE APPLY THE TRIG RATIOS*
The orbital period of a satellite is 2 × 106 s and its total radius is 2.5 × 1012 m. the tangential speed of the satellite is m/s. (round to the nearest whole number, do not add any punctuation.)
Answers
Answer:
7,853.982
Step-by-step explanation:
Edg 2022
17/21 - (2/7 + 1/7)
Please solve!!
Answers
Answer:
8/21
Step-by-step explanation:
17/21 - (2/7 + 1/7)
= 17/21 - ( 3/7)
= 17/21 - (3×3/7×3)
= 17/21 - 9/21
= 8/21
What is the point-slope form of a line that has a slope of 3 and passes through point (1, 4)?
Answers
Answer:
(A). y - 4 = 3 ( x - 1 )
Step-by-step explanation:
Slope "m" and ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) ⇒
Slope-point form of linear equation is y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~
m = 3 and point with coordinates ( 1 , 4 )
y - 4 = 3 ( x - 1 )
What is the value of x?
(See attached image for details.)
Enter your answer in the box.
x =
Answers
Answer: x = 12
Step-by-step explanation: The given triangle is an equilateral triangle. Equilateral triangles have all angles and all sides equal. Thus, let's solve for x knowing all 3 equations are equal. For this, only 2 equations are necessary.
5x - 22 = 4x - 10
Adding 22 to both sides, we get:
5x = 4x + 12
Subtracting 4x to 5x, we get:
x = 12.
Thus 5*12 - 22 = 38, and 4*12 - 10 = 38, and so is 3*12 + 2 = 38. Thus, we know this is correct.
Answer:
x = 12
Step-by-step explanation:
Hello!
All three angles are congruent, indicating that this is an equilateral triangle.
The rules of this triangle say that all sides are congruent.
We can solve for x by setting any 2 sides equal to each other. I'm picking AB and BC.
Solve for x4x - 10 = 3x + 24x - 3x - 10 = 2x - 10 = 2x = 12The value of x is 12.