Review the graph of y = sin(x). Based on the graph, what are the domain and range of the sine function? Y 3+ 2+ domain: [0, 2TT); range: [-1, 1] O domain: (-1, 1); range: [0, 2TT) domain: (-1, 1); range: (-0, 0) domain:(-0, 0); range: [-1, 1] I JT 57 Зл 4 Зл 7л 2 2 4 -1+ -2+ -3+
Answers
Answer:
The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D
Step-by-step explanation:
In any function,
Domain is the values of x
Range is the values of y corresponding to x
In the function y = sin(x),
∵ The graph ends with arrows
→ That means there is many cycle not 1 cycle
∴ x ∈ R
→ That means x can be any value from -∞ to ∞
∵ x is the domain of the function
∵ R is the set of real numbers
∴ Domain = {x : x ∈ R} = (-∞, ∞)
∵ sin([tex]\frac{\pi}{2}[/tex]) = 1
∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]
∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1
∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]
∴ -1 ≤ y ≤ 1
∵ y is the range of the function
∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]
∴ The right answer is domain: (-∞, ∞); range: [-1, 1]
Answer:
D: domain: (–ꝏ, ꝏ); range: [–1, 1]
Step-by-step explanation:
Hope this helps whoever needs more clarification.
Related Questions
Can anyone please help me with this?
Answers
Th e NCAA recommends that a competition diving pool intended for use with two 1-m springboards and two 3-m springboards, in addition to diving platforms set at 5 m, 7.5 m, and 10 m above the water, have a width of 75 ft 1 in., a length of 60 ft, and a minimum water depth of 14 ft 10 in. What is the minimum volume of water such a pool would hold in cubic yards, to the nearest whole number?
Answers
Answer:
The volume of the swimming pool is approximately 2475 yd³ to the nearest whole number
Step-by-step explanation:
The given information are;
The width of the swimming pool = 75 ft. 1 in.
The length of swimming pool = 60 ft.
The depth of the swimming pool = 14 ft. 10 in.
Therefore;
The volume of the swimming pool = Width × Length × Depth
The volume of the swimming pool = 75 ft. 1 in. × 60 ft. × 14 ft. 10 in.
The volume of the swimming pool = 901 in. × 720 in. × 178 in. = 115472160 in.³
1 in.³ = 2.14335 × 10⁻⁵ yd³
∴ 115472160 in.³ = 115472160 in.³ × 2.14335 × 10⁻⁵ yd³/in³ ≈ 2474.969 yd³
Which gives;
The volume of the swimming pool ≈ 2475 yd³ to the nearest whole number.
55 > 5x + 5 > -25
pls help
Answers
hejdjdjkdjdidjfjjfjejdjdhdijdjdhdhdidhdidjdidhudieiruridiehidhjbfjrjjd
Help? Find angle psw
Answers
a) What is y=mx+b?
b) What does the m stand for?
c) What does the b stand for?
d) Where do I find the x & y?
e) If I get two coordinate points how do I find the slope? What is the formula?
f) If I get a graph, how do I find the slope?
Answers
b) the m is the slope of the line.
c) the b is the y-intercept
d) the x-axis is horizontal, the y-axis is vertical.
e) m = rise/run = y2-y1/x2-x1
f) pick 2 points on the graph & determine their coordinates. find the difference in the y-coordinates (the rise) & the difference in the x-coordinates (the run) & divide them.
find the area of the equilateral triangle.if its perimeter is 24cm
Answers
Answer:
16√3 cm²
Step-by-step explanation:
The perimeter of a triangle is the sum of its all three sides. Since this is an equilateral triangle, all sides are equal.
Let's consider one side of the triangle to be 'x'
Givent that, the perimeter is 24cm,
The equation should be x + x + x = 24
⇒3x = 24
∴ x = 8 cm
To find the area of the triangle, we need to find the height, and for that, we can use trigonometry.
Since it is an equilateral triangle, all angles are exact 60°.
let's draw a line and mark it as 'h'.
we can use sine formula to find out the opposite i.e. h
sin∅ = opposite ÷ hypotaneous
sin 60° = h ÷ 8
h = 8 sin 60°
h= 4√3
Now, let's find the area
Area = 1/2 × base × height
Area = 1/2 × 8 × 4√3
area= 16√3 cm²
What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answers
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ2
Helpppppppppppppppppppppppp
Answers
Answer:
1A, 2C, 3X, 4A, 5B, 6W, 7X
Step-by-step explanation:
Im not sure about these answers, can you have the same letter for a different number?
Find the value of x so that line m is parallel to line l.
Answers
Answer:
-17
Step-by-step explanation:
The angles are corresponding angles so when the lines are parallel, the lines are equal
3x-12 = 4x+5
Subtract 3x from each side
3x-12 -3x = 4x+5-3x
-12 = x+5
Subtract 5 from each side
-12 -5 = x+5-5
-17 = x
Answer:
-17
Step-by-step explanation:
The two angles that are shown are *corresponding angles* which means they lie in the same spot, just on two different parallel lines. They are congruent angles. Therefore, you should set up an equation to solve for x. Since the two angles are congruent, you should set the expressions equal to each other. 3x-12=4x+5.
Force is a term that means...
O movement around a center point - like throwing
O
strength used in an action - like lifting weights
Ounchanging over time - like balancing
on
O speed over time - like running
>
MUSEU
Answers
Answer: strength used in an action - like lifting weights
Step-by-step explanation:
Force brings about the change in the motion or velocity of a particular object.
Force can be either a push or a pull. For example, when an individual goes to the gym and lifts a weight, the strength applied can also be referred to as a force as it causes a change in the position of the weight.
is 27/2 a rational number?
HELP!
Answers
Distribute -2x(-1+3x) whoever answers my questions first gets Brainliest.
Answers
Answer: 2x-6x^2
-2x*-1 = 2x
-2x*3x=-6x^2
−6x2+2x
Step-by-step explanation:
(−2x)(−1+3x)
=(−2x)(−1+3x)
=(−2x)(−1)+(−2x)(3x)
=2x−6x2
=−6x2+2x
PLEASE HELP!! MATH FINAL + NO EXPLANATION NEEDED :))
Answers
Answer:
C.
Step-by-step explanation:
X=−2 x=−1 x=1 6(0.5x−1.5)+2x=−9−(x+6) x = − 2 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = − 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) x = 1 – 6 ( 0.5 x − 1.5 ) + 2 x = − 9 − ( x + 6 ) 4(0.5x−2)+3x=−14−(x+6) x = − 2 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = − 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) x = 1 – 4 ( 0.5 x − 2 ) + 3 x = − 14 − ( x + 6 ) 8(0.5x−3)+4x=−9−(x+6)
Answers
Given:
Three equations are
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
Three solutions are [tex]x=-2,x=-1,x=1[/tex].
To find:
The solution of each equation from the given solutions.
Solution:
We have,
[tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex]
Using distributive property, we get
[tex]3x-9+2x=-9-x-6[/tex]
[tex]5x-9=-15-x[/tex]
Isolate variable terms.
[tex]5x+x=-15+9[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6.
[tex]x=-1[/tex]
Similarly,
[tex]4(0.5x-2)+3x=-14-(x+6)[/tex]
[tex]2x-8+3x=-14-x-6[/tex]
[tex]5x-8=-20-x[/tex]
[tex]5x+x=-20+8[/tex]
[tex]6x=-12[/tex]
[tex]x=-2[/tex]
Now,
[tex]8(0.5x-3)+4x=-9-(x+6)[/tex]
[tex]4x-24+4x=-9-x-6[/tex]
[tex]8x-24=-15-x[/tex]
[tex]8x+x=-15+24[/tex]
[tex]9x=9[/tex]
[tex]x=1[/tex]
Therefore, the solutions of given equations [tex]6(0.5x-1.5)+2x=-9-(x+6)[/tex], [tex]4(0.5x-2)+3x=-14-(x+6)[/tex] and [tex]8(0.5x-3)+4x=-9-(x+6)[/tex] are x=-1, x=-2 and x=1 respectively.
please help me out!!!
Answers
What is the solution of the equation x2=64
Answers
Two-Step Equations 2/5x−3=−17
Answers
Answer:
x =-35
Step-by-step explanation:
2/5x−3=−17
Add 3 to each side
2/5x−3+3=−17+3
2/5x = -14
Multiply each side by 5/2
5/2 * 2/5x = -14 * 5/2
x = -35
Answer:
x = -35
Step-by-step explanation:
Add 3 to each side, so it now looks like this: 2/5x = -14Divide each side by 2/5 to cancel out the 2/5 next to x. It should now look like this: x = -35I hope this helps!
please please please i need help !!!
Answers
Answer: Choice B
h(c) = 1 for at least one c between -3 and 4
====================================================
Explanation:
Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.
Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.
The region inside this rectangle is all we care about.
We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.
----------------------
After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.
This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).
This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.
This says that for some input between -3 and 4, it's possible to get an output of 1.
-------------------------
Here's a real world example of the intermediate value theorem.
Let's say the endpoints are A and B, and they are two towns.
The h(x) curve is a road connecting the towns.
To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.
side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).
A,C and D are points on a circle of radius 4 cm, centre o. BA and BC are tangents to the circle. OB=10cm work out the length of arc ADC. give your answer correct to 3 significant figures
Answers
Answer:
Step-by-step explanation:
OB = 10 cm
OA = OC = Radius = 4 cm
COS <AB = OA/OB = 4/10 = 2/5 =
COS< COB = OC/OB = 4/10 = 2/5
=> <AOC = <AOB + <COB
=> <AOC = Cos-¹(2/5) + Cos-¹(2/5)
=> <AOC = 2 Cos-¹(2/5)
=> <AOC = 2 * 66.42
=> <AOC = 132.84°
if D is in minor arc then length of arc ADC. = ( 132.84°/360°) 2π = 9.274 cm
if D is in major arc then length of arc ADC. = ((360° -132.84°)/360°) 2π = 15.859 cm
Q: What is the measure of <8?
A)45
B)55
C)155
D)135
Please needed help asap!
Answers
Answer:
your answer should be, D.135
i hope this helps!
Answer:
D) 135
Step-by-step explanation:
--------------- = 180 degrees
It's split and the other half is 45 degrees.
All you have to do is subtract.
180-45=135
<8 = D) 135
I need help! PLEASE HELP!!
Answers
Answer:
Step-by-step explanation:
P = pizza slices
S= soda drinks
98 = 23*P + 31*S
5. It is a method of describing a set, in words.
A. Roster Notation
C. Set Builder Notation
B. Listing Method
D. Verbal Description Method
Answers
Answer
There are two common ways of describing or specifying the members of a set: roster notation and set builder notation. These are examples of extensional and intensional definitions of sets, respectively
A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight? Explain?
Answers
Answer:
.95-1.05
Step-by-step explanation:
you are able to go above 0.05 or below 1 by 0.05
since it's 95% of 1
Answer:
.05
Step-by-step explanation:
It's simple really. It's finding 5% of 1.
First you change the percent to a decimal. 5%= .05
Next you multiply .05 times 1 which is obviously 1. :)
The points in the table lie on a line. Find the slope of the line.
Answers
The slope of the line is [tex]-\frac{3}{4}[/tex]
First, you must find 2 points.
(-6,8) (-2,5)
Then, you must substitute the value of the points in.
[tex]\frac{5-8 }{-2+6}[/tex]
Finally, simplify the fraction.
[tex]-\frac{3}{4}[/tex]
x - 13 = 22 linear equations
Answers
Answer:
x = 35
Step-by-step explanation:
x - 13 = 22
Add 13 to each side
x - 13+13 = 22+13
x = 35
See attachment for math work and answer.
A rectangular tank has a length of 12 feet, width of 8 feet, and height of 5 feet. Frankie filled the tank with water at a rate of 4 cubic feet per minute. At this rate, how long will it take Frankie to completely fill the tank without overflowing it?
Answers
Answer:
Step-by-step explanation:
12 x 8 x 5 = 480/4= 120 minutes or 2 hours
What is the name of the lake located at letter B on the map above? Answer is C :)
Answers
Answer:
the answer is C. lake Texoma
hope this helps
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
Answers
What’s the volume of this shape?
Answers
Answer:
V=72x³y³
Step-by-step explanation:
The formula to apply is;
V= l * w * h where
V= volume in units cubed.
l= length = 3xy
w=width = 4xy
h= height = 6xy
Substitute values in the formula as;
V= l*w*h
V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}
V= 72*x³*y³
V= 72x³y³ --------where xy are the units used.
2+y=11 What is the answer?
Answers
Answer:The answer has to be 9
(
Step-by-step explanation: Because 2 plus 9 equals 11 and this is an addition problem
Answer:
9
Step-by-step explanation:
To solve subtract 2 from both sides (subtraction property of equality)
2-2+y=11-2, then simplify
y=9