Sketch the graph of the function y=3 sin(2x)-1
Answers
Function: y = 3sin(2x) - 1
Find y-intercept:
y = 3sin(2x) - 1y = 3sin(2(0)) - 1y = -1Formula for minimum: m = A ‐ |B|
Minimum:
-1 - |3|-4=========
When y = -4
3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°Formula for maximum: M = A + |B|
Maximum:
-1 + |3|2=========
When y = 2
3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°Now we can plot the graph for the equation in range of -360° < x < 360°
For more graphing problems: brainly.com/question/27117441
Answer:
[tex]y=A\sin(B(x+C))+D[/tex]
Amplitude = A
The height from the center line to the peak (or trough).
Period = (2π)/B
The horizontal distance from one peak to the next.
Phase shift = C
How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).
Vertical shift = D
How far the function is shifted vertically from its usual position.
Parent function:
[tex]y=\sin(x)[/tex]
Therefore:
Amplitude = 1Period = 2πPhase shift = noneVertical shift = noneGiven function:
[tex]y=3\sin(2x)-1[/tex]
[tex]y=3\sin(2(x+0))-1[/tex]
Therefore:
Amplitude = 3Period = πPhase shift = noneVertical shift = -1**See attached images for how the parent function is transformed to the final function**
Related Questions
Smitville is located between Jonesville and Cityville. Smitville is five times as far away from Cityville as it is from Jonesville. If the distance between Jonesville and Cityville is 288 km, how far is it from Jonesville to Smitville?
Answers
<-------------------288km---------->
x=48 km 5x=240km
⊙__________⊙___________⊙
jonesville smitville cityville
6x=288
x=48
=48km
What is the distance between the points (3, 4.1) and (3, 1.2)?( i will give brainly points)
Answers
Answer:
2.9
Step-by-step explanation:
subtract the distances:
4.1-1.2
2.9
Can u do these for me
Answers
Answer:
Step-by-step explanation:
Compare the decimals using >, <, or =
2.95 > 2.949 (2.95 can be written as 2.950, which is > 2.949)3.75 < 3.8 (3.8 can be written as 3.80, which is > 3.75)0.98 = 0.980 (0.98 can be written as 0.980, which is = 0.980)0.86 < 0.861 (0.86 can be written as 0.860, which is < 0.861)1.76 < 2 (2 can be written as 2.00, which is > 1.76)3.15 < 3.2 ( 3.2 can be written as 3.20, which is > 3.15)Name two equivalent fractions for each fraction listed below.
2/4 = 1/2 = 4/81/3 = 2/6 = 3/91/10 = 2/20 = 3/30If there are 16 cups in one gallon, how many cups are in 3 gallons?
16 cups = 1 gal.
? cups = 3 gals.
3 * 16 = 48 cups
How many cups are in 5 gallons?
5 * 16 = 80 cups
Compare and contrast squares are rectangles
Squares: have four sides and four equal sides
Rectangles: have four sides and have 2 parallel sides, meaning that they have 2 opposite sides that are equal.
Hope this helps!
f(x) = 3x - 2x - 5
Factoring quadratics
Answers
Answer:
[tex](3x -5)(x+1)[/tex]
Step-by-step explanation:
Factoring [tex]3x^{2} -2x-5=0[/tex] results in [tex](3x -5)(x+1)[/tex]
-2 (3x -5) -2= 22 - 68
Answers
Answer:
9
Step-by-step explanation:
Answer:
i belive the awnser is 9
Step-by-step explanation:
Jin's family took a road trip to Niagara Falls. Jin slept for the last 24 miles of the trip. If the total length of the trip was 400 miles, what percentage of the total trip had they travelled when Jin fell asleep?
Answers
The table below shows Ashley's earnings on the job. Time (hours) Earnings (dollars) 18 $514.80 23 $657.80 31 $886.60 How much does she make in 11.25 hours
Answers
Answer:
$321.75
Step-by-step explanation:
k = y/x
514.80/18= 28.6
28.6 * 11.25 =321.75
Thus, Ashley will earn 321.75 in 11.25 Hours
~Lenvy~
Answer:
$321.75
Step-by-step explanation:
Formula ⇒ k = y/x
Dollar = y
x = Hour
Hence,
514.80/18= 28.6
28.6 × 11.25 =321.75
Therefore, Ashley will make $321.75 in 11.25 Hour
[RevyBreeze]
A skateboarding ramp is in the shape of a triangular prism, If the entire ramp is to be painted, and a can on spray paint covers 1,000 sq^2, how many cans will be needed?
Answers
Step-by-step explanation:
I don't have that much time to wait for all the clarifications, so I will make some assumptions based on what I saw in your comments so far.
please change the numbers in the calculation (and the recalculate) as necessary :
we are dealing with a triangular prism that acts as a ramp.
triangular means that the sides are in the shape of triangles.
but the front, the back and also the bottom areas are rectangles.
the area of a rectangle is length×width.
the area of a triangle is baseline×height/2
since it is supposed to be a ramp, I assume the triangle shape of the sides is right-angled. that means the back side of the ramp is standing straight up (90° angle with the bottom).
the height of the ramp is the height of the triangle side areas, and is simply the left leg of the triangle (again, going straight up with a 90° angle to the baseline).
I understand the height is 14 in.
I assume the front length is 50 in. and the depth of the ramp (the length of the baseline of the triangular sides) is 48 in.
now we get the length of the inclined "front" leg of the side triangles via Pythagoras
c² = a² + b²
with c being the side opposite of the 90° angle (exactly the inclined leg we are looking for) :
c² = 14² + 48² = 196 + 2304 = 2500
c = 50 in
that means our front rectangle of the ramp is actually a square of 50in × 50in.
the entire ramp is to be painted. that means really every side, including the bottom.
so, the whole surface area is the sum of the individual areas.
we have
1 (inclined) front area 50in × 50in
1 back side (straight up) 50in × 14in
1 bottom area 50in × 48in
2 side triangles 48in × 14in / 2 = 48in × 14in
so, we get as total area
50×50 = 2500 in²
50×14 = 700 in²
50×48 = 2400 in²
48×14 = 672 in²
---------------------------
6272 in²
now, one can of spray paint can cover 2000 in².
that means we need
6272 / 2000 = 3.136 cans.
and since we cannot buy fractions of cans, we need to round up.
we need 4 cans to do the painting job.
A stunt plane ended a maneuver
100 meters above the top of a
skyscraper before dropping more
than 12 meters. What is the
highest altitude the plane could be
after the drop?
Answers
Answer:
The stunt plane finally finished his stunt at a height of 300m above the skyscraper which means he is at a height of h0 + 300 above sea level
Therefore , the total elevation (e) would be :
e = 300 + 100
= 400m
Regression equation : y = 3.915(1.106)x. which two equations below could you solve to find d, the number of days it takes the water lily population to double? 2 = 3.915(1.106)d 7.830 = 3.915(1.106)d 7.830 = 3.915(2)d 2 = 1.106d
Answers
Answer: 1.106D
Step-by-step explanation: 7.830=3.915(1.106)D and 2 = 1.106D
The number of days it takes the water lily population to double will be 3.915.
What is a regression equation?The equation is written as Y= a + bX, where Y is the dependent variable and X is the independent variable.
This is an algebraic idea; imagine the initial number was x and the new number is 2x. If the constant rate of growth is r and the time is D, the function expressing growth will be:
[tex]2x=x(r)D\\\\ 7.830=3.915(1.106)D\\\\ 7.830=3.915(2)D[/tex]
Hence the number of days it takes the water lily population to double will be 3.915.
To learn more about the regression equation refer to the link;
https://brainly.com/question/7656407
There were 18 students running in a race. How many different arrangements of first, second, and third place are possible?
Answers
Answer:
There are 18 choices for first place, 17 for second, and 16 for third.
Therefore, there are 18 x 17 x 16=4896
So there are 4,896 ways possible
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
et
Which is true regarding Armando's use of algebra tiles?
O He used the algebra tiles correctly.
He did not represent the two original factors correctly.
O The signs on some of the products are incorrect.
O Some of the products do not show the correct powers
of x.
Answers
Answer:
The Last One
Step-by-step explanation:
hope this helps :))
Donald said that the median is 2. What did he do wrong?
8,13,2,4,48
Answers
Answer:
He did not put the numbers in order.
Explanation:
The numbers need to be in order from smallest to largest before you find the median.
How do I write 5 2/5 as a fraction greater than one
Answers
Answer:
27/5
Step-by-step explanation:
because If you do 5 2/5 = ? you get 27/5
find the area of the shaded region. please show your work
Answers
Answer:
≈184.25
Step-by-step explanation:
1) if r=10 and 'a' is the length of the side of the triangle, then the ratio
a=r√3;
2) the required area can be calculated as
A=πr²-√3/4*a²; ⇔ A=πr²-3√3/4 r²;
3) according to the formula above, the required area:
[tex]A=r^2(\pi -\frac{3\sqrt{3} }{4} ); \ = > \ A=100*(3.1415-\frac{3*1.7321}{4})=184.2462[/tex]
The volume of this right prism is 266.5 ft³.
What is the height, x, of the prism?
Enter your answer as a decimal in the box.
x =
ft
Answers
Hey there!
1/2 lwh = v
lwh = 2v
h = 2v/lw
Formula:
H = 2v / l w
H = 2(266.5ft³)/lw
H = 533/lw
Other length are Missing like length and width
Incomplete question
Answer:
The answer is 8.2, I took the test.
3 3/5 + 1 1/6 answer as a fraction
Answers
Answer:
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]Step-by-step explanation:
It is necessary to add the whole numbers of fractions from left to right in order to solve this problem.
3 3/5+1 1/6First, you have to add the whole numbers.
3+1=4
After that, you can combine by a fraction.
6*3=18
18/5+ 1 1/6
1+6=7
7/6
Rewrite the problem down.
18/5+7/6
Solve.
5*6=30
143/30
=23/30
[tex]\boxed{\sf{4\dfrac{23}{30} }}[/tex]
Therefore, the final answer is 4 23/30.I hope this helps you! Let me know if my answer is wrong or not.
The Roberts family uses a container shaped like a cylinder to recycle aluminum cans. It has a height of 4 feet and a diameter of 1.5 feet. The container is full.
The Volume of the container is: 28.3 ft3
How much do the contents weigh if the average weight of aluminum cans is 37 ounces per cubic foot?
Answers
The volume of the container is the amount of can in it
The contents weigh 1047.1 ounces
How to determine the weight of the container?The given parameters are:
Volume = 28.3 cubic feet
Average weight of can = 37 ounces per cubic foot
So, the weight of the container would be:
Weight = Volume * Average weight of can
Substitute known values
Weight = 28.3 cubic feet * 37 ounces per cubic foot
Evaluate the product
Weight = 1047.1 ounces
Hence, the contents weigh 1047.1 ounces
Read more about volumes at:
https://brainly.com/question/1972490
PLEASE HELP ME QUICK !!
Answers
Answer:
9.138
10.28
11.26
12.55
ANSWER :
9.) 138
10.)28
11.)26
12.)55
HOPE IT HELPS
# CARY ON LEARNINGPLA HELP ME THIS IS MY LAST CHANCE Use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object
Answers
Answer:
Answer is C
Step-by-step explanation:
Because you divide each side by 2 because that is the scale factor
What is x3+y3+z3. I been trying to figure it out but hard
Answers
This is a trick question. The answer is the question or (3x+3y+3z). You cannot add two numbers if they have different variables. Such as y+x the answer will just be y+x. If the question was 3x+3y+3x then it would be 6x+3y. So the answer is 3x+3y+3z!
Why would you want a small remote valve and a large valve close to the cylinder?
Answers
An individual will want small remote valve and a large valve close to the cylinder in order to build the pressure.
What is pressure?It should be noted that pressure simply means the measure of the force that's applied over a unit area.
In this case, an individual will want small remote valve and a large valve close to the cylinder in order to build the pressure between each valve and also create more pressure for the cylinder.
Learn more about pressure on:
https://brainly.com/question/25736513
Asia has a jar of marbles. She randomly selects a marble from the jar, records its color, and returns it to the jar. She repeats this 74 times. Her results are shown in the table. A frequency table shows each outcome and its frequency. Red, thirteen times. Blue, twenty times. Green, twenty-two times. Yellow, nineteen times. What is the experimental probability of Asia choosing a green marble?
Answers
Answer:Experimental probability = 0.297
Step-by-step explanation: experimental probability = number of times event occurs/total number of trials
Probability = 22 divided by 74 = 0.297
Therefore the experimental probability of choosing green marble is 0.297.
Name two points on the line y = 6x. Does it describe a proportional relationship? Explain.
Answers
Anser: 2,12 and 4, 24. Yes, it is proportional.
Step-by-step explanation:
For every 2x, y will be inceased by 12.
What is 3/5 1/2 because my answer is 7/10 and my teacher said it's wrong
Answers
Answer:
If you want to multiply then,
3/5 × 1/2 = 3/10 or 0.3
If you want to Add then,
3/5 + 1/2 = 6 + 5/5 × 2 = 11/10 or 1.1
If you want to subtract then,
3/5 – 1/2 = 6 – 5/5 × 2 = 1/10 or 0.1
If you want to Divide then,
3/5 ÷ 1/2 = 3/5 × 2/1 = 6/5
find perimeter of a semicircle that has radius of 6cm (give answer in 2 d.p)
Answers
Answer:
30.84 cm
Step-by-step explanation:
Formula for perimeter of semi-circle = πr + 2r
Radius (r) = 6 cm
π = 3.14
Perimeter
= πr + 2r
= 3.14(6) + 2(6)
= 3.14(6) + 12
= 18.84 + 12
= 30.84 cm
_________
Hope it helps ⚜
Answer:
30.85 cm to 2 d.p.
Step-by-step explanation:
The perimeter is made up of the diameter ( = 2*radius) and half a full circle
= 6*2 + 1/2 * π* 6
= 12 + 3π
= 30.849
Which statement is correct?
Answers
Answer:
C because the answer is right
by finding tan θ in 2 different triangles find the value of m
Answers
Answer:
m = 3.75
Step-by-step explanation:
tanθ = 3/4θ = 37°⇒ Angle opposing 3 in the left triangle is 53°
sin53° ⇒ 4/5 = 3/m4m = 15m = 15/4m = 3.75A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm
Answers
Answer:
S = R θ where θ is in radians
If θ = 2 pi then S = 2 pi R the circumference of the circle
θ = S / R = 9.7 / 9 = 1.08 rad
Since 1 rad = 360 / (2 pi) = 57.3 deg
the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg
Please Help!
A. 18 ft by 27 ft
B. 18 ft by 9 ft
C. 9 ft by 13.5 ft
D. 72 in. by 108 in
Answers
Answer:
C
Step-by-step explanation:
I hope it is right, sorry if it's wrong. ☹