Answers
We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.
We know that [tex]\sin(0)=0[/tex] and [tex]\cos(0)=1[/tex]. We can see that our given function is starting at origin, so our graph is sine function.
We know that general form of sine is [tex]y=A\sin[B(x-c)]+D[/tex], where,
A = Amplitude,
Period: [tex]\frac{2\pi}{B}[/tex]
C = Horizontal shift,
D = Vertical shift.
We have been given that function has no horizontal shift, so the value of C is 0.
We can also see that midline of our function is x-axis, so there is no vertical shift as well that is [tex]D=0[/tex].
We can see that function goes up to 1 from midline and goes down to [tex]-1[/tex] from midline, so amplitude of function is 1 that is [tex]A=1[/tex].
We can see that period of our given function is [tex]4\pi[/tex] because it completes one cycle from [tex]-\pi[/tex] to [tex]3\pi[/tex]
[tex]4\pi=\frac{2\pi}{B}[/tex]
[tex]B=\frac{2\pi}{4\pi}=\frac{1}{2}[/tex]
[tex]y=\sin(\frac{1}{2}x)[/tex]
We can see that our function is reflected about x-axis, so our function will be [tex]y=-f(x)[/tex].
[tex]y=-\sin(\frac{1}{2}x)[/tex]
Therefore, our required function is [tex]y=-\sin(\frac{1}{2}x)[/tex].
Related Questions
What is the order of the numbers form least to greatest?
Answers
Answer:
B < A < C < D
Step-by-step explanation:
We can easily order the numbers by using a shortcut. To do this, you just look at the exponents. The more negative the exponent, the lower the number is. The more positive the exponent is, the greater the number is.
Answer:
The answer is option 2.
Step-by-step explanation:
In a faster way to see this you can just look at the power :
A = -4
B = -6
C = 4
D = 5
B < A
A < C
C < D
So the order is B, A, C and D.
An 11 ft flag pole is mounted on top of a school building. If the top of the flagpole forms a 60° angle with the ground 50 ft from the base of the building, about how tall is the school building?
Answers
Answer:
39 feet
Step-by-step explanation:
plz give me brainliest >.<
If A( 6, -1) , B( 1,3) and C( k, 8) are three points such that AB = BC, find the value of k
Answers
Answer:
De value of k is 9
Step-by-step explanation:
6,-1
b(1,3)
(k,8)
am using bodmas
a6-1×1=6a
b1×3=3b
abc=8
6a+3b+8=17-8
=9
When Wyatt commutes to work, the amount of time it takes him to arrive is normally
distributed with a mean of 45 minutes and a standard deviation of 3 minutes. Using
the empirical rule, what percentage of his commrtes will be between 36 and 54
minutes?
Answers
Answer:
Step-by-step explanation:
Using the Empirical Rule, it is found that 99.7% of his commutes will be between 36 and 54 minutes.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, considering a mean of 45 minutes and a standard deviation of 3 minutes, we have that:
36 = 45- 3 x 3
54 = 45 + 3 x 3
Within 3 standard deviations of the mean, hence, 99.7% of his commutes will be between 36 and 54 minutes.
More can be learned about the Empirical Rule at brainly.com/question/24537145
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Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)
Answers
2. The mistake is in the second line (didn't properly add 4p and 7p)
solve: 9^8-x= 27^x-3
Answers
Answer:
x = 4.25
Step-by-step explanation:
First, alter the equation until both exponents have the same base. We know that 9^3 is 27. Therefore, we can change 27^(x-3) into 9^3(x-3).
Now, the equation can be written as 9^(8-x) = 9^(3x-9)
Now that the bases are the same, we can cancel them out and just solve for the exponents. This will look like:
8-x = 3x-9.
8 = 4x - 9
17 = 4x
x = 4.25
Three coins are flipped.
a)
How many possible outcomes are there?
b)
What is the possibility of getting no heads?
c)
What is the probability of getting at least 2 tails?
I'm kinda stuck. plz help
Answers
Answer:
ooooh Mthswath again. a=8 b=1/8 c=4/8 or 1/2
Step-by-step explanation:
a= there are 8 outcomes you can multiply the outcomes. 2×2×2=8
b= (i don't want to insert a picture again, as I already did for the last one you asked) So it is 1/8
c= Again, list out all the possibilities and you will find there are 4 with at least 2 tails or simplify it, 1/2
Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)
Answers
Answer:
height = 5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Answer: 5
Step-by-step explanation:
Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he will roll either a 2, 3, or a 4 on his next roll?
Answers
Answer:
50%
Step-by-step explanation:
Hope it helps
Which expression is equivalent to -3 1/8 minus 2 1/2
Answers
(You just turn them into improper fractions)
Answer:
-5 5/8
Step-by-step explanation:
A negative minus a positive is essentially a negative plus a negative! The two values will add on top of each other to create a larger negative number.
I'd recommend turning the mixed numbers into improper fractions: 25/8 and 5/2. Then, make sure their denominators are equal by multiplying 5/2 by a "big one" or 4/4. This should get you 20/8.
Now, solve for -25/8 - 20/8 to get -45/8. Turn that number into a mixed number, and you have your answer!
Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.
Answers
Answer:
W(x) = $50 + ($14/hr)x
Step-by-step explanation:
hope this helped
what is 4 raised to the third power
Answers
Answer:
4³=64
Step-by-step explanation:
A number raised to a power implies the repeated multiplication of that number by itself to the value of its power.
Hence, four raised to the third power means multiplication of 4 by itself 3 times( 3 being the value of its exponent).
》 4×4×4=64
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .
Answers
Image of spinner is attached.
Answer:
Probability of the compound event is [tex] \frac{1}{9} [/tex]
Step-by-step explanation:
Given that the spinner contains 3 numbers: 1, 2, & 3.
A coin has 2 outcomes, a head & a tail.
Lets take,
P(A) = event of spining an odd number
P(B) = event of flipping heads
P(C) = event of spinning a 3
We now have:
P(A) = [tex] \frac{2}{3} [/tex]
P(B) = [tex] \frac{1}{2} [/tex]
P(C) = [tex] \frac{1}{3} [/tex]
They are all independent events
Probability of the compound event would be derived by multiplying all the events.
P= P(A) * P(B) * P(C)
[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]
Probability of the compound event is [tex] \frac{1}{9} [/tex]
Please help asap!!!!!!!!!!!!!!!!
Answers
Answer: ok what do you need help with
Step-by-step explanation:
The diameter of a basketball is 9.39 inches. Which is closest to the number of square inches of material used in constructing a basketball?
Answers
Answer:
Area, [tex]A=69.21\ \text{inches}^2[/tex]
Step-by-step explanation:
We have,
The diameter of a basketball is 9.39 inches.
It is required to find the number of square inches of material used in constructing a basketball. It means we need to find the area of basketball. It is given by :
[tex]A=\pi r^2[/tex]
r is radius of basketball, r = 4.695 inches
So,
[tex]A=3.14\times (4.695)^2\\\\A=69.21\ \text{inches}^2[/tex]
So, the area of the basketball is [tex]69.21\ \text{inches}^2[/tex].
What is the slope of the line y = 20x?
Answers
Answer:the slope is 20
Step-by-step explanation:
Answer:
m=20
Step-by-step explanation:
The line is in point slope form, or
y=mx+b
where m is the slope and b is the y-intercept
For the equation
y=20x
20 and x are being multiplied. The number being multiplied by x is the slope, therefore the slope is 20
10. Susan went out and bought 2 packs of toilet paper and 4 containers of Clorox wipes for $46. She told her friend where she found them and her friend went out and bought 1 pack of toilet paper and 3 containers of Clorox wipes for $27. How much did a pack of Clorox wipes cost? *
Answers
Answer:
$9
Step-by-step explanation:
Let's make the price of toilet paper x, and the clorox wipes y. We can then use the given information to create a system of equations.
Our equations are 2x+4y=36 (because 2 packs of toilet paper and 4 containers of Clorox wipes cost $46) and x+3y=27 (because 1 pack of toilet paper and 3 containers of Clorox wipes cost $27). Now, let's solve!
2x+4y=36 (1)
x+3y=27 (2)
2x+6y=54 (3) (i just mutiplied (2) by 2 so that i could eliminate x)
2y=18 (3)-(1)
y= $9/pack
Factor the monomial for 27n^2o
Answers
The answer is
This equation isn’t factorable
AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 blanca y 2 rojas a) si sacan una bola de la primera urna que color es más probable de que se obtenga b) calculen las probabilidades de sacar una bola verde, una roja y una blanca de cada urna c) si quieren tomar una bola verde que urna elegirian d) supongan que sacan una bola verde de la tercera urna y no la regresan, lo que se conoce como extraccion sin reemplazo ¿que probabilidad tiene cada bola de salir en la siguiente extraccion?
Answers
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
what’s the value of x ?
Answers
Here’s my work:
Go to link for the question thx!!
Answers
20+20+20+20+20+20+20+9893-2839283+93749-93+8366754439=???
Answers
Answer:
=8,364,018,845
Step-by-step explanation:
Mark me brainiiest.
Answer:
8364018845
Step-by-step explanation:
20+20+20+20+20+20+20 = 140
140+20893-2839283+93749-93+8366754439
Find the solution to x^2=64
Answers
Answer:
[tex] \boxed{x = 8} [/tex]
Step-by-step explanation:
[tex] = > {x}^{2} = 64 \\ \\ = > {x}^{ \cancel{2}} = {8}^{ \cancel{2}} \\ \\ = > x = 8[/tex]
Nat says that a square is a rectangle because it has four right angles. Amy says that a square is a rhombus because it has 4 equal sides. Who is correct? Explain *
Answers
Answer:
They are both correct in special cases of a rectangle and rhombuses
Step-by-step explanation:
A square is quadrilateral, with four equal sides and four equal interior angles of 90°
A rectangle is a quadrilateral, with four equal angles which are all 90°. Therefore, a square is a special case of a rectangle with all the sides equal
A rhombus is also a equilateral quadrilateral with having equal opposite angle.
Therefore, when any of the interior angles is equal to 90°, the rhombus becomes known as a square, hence, a square is a special form of rhombus.
Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?
Answers
The lengths of two sides of a right triangle are given. Find the length of the third side. Round to the nearest tenth if necessary.
leg: 29 m; hypotenuse: 46 m
54.4 m
35.7 m
40.9 m
50.5 m
Answers
The answer is approximately 35.707 which is option B 35.7m
The length of the third side of a right triangle is 35.7 m
What is a right triangle?"It is a triangle whose one of the angle measures 90° "
What is hypotenuse?"It is the longest side of the right triangle."
What is Pythagoras theorem?"For a right triangle, [tex]x^{2} + y^{2}= z^{2}[/tex]
where z is the hypotenuse and x, y are other two sides of the right triangle."
For given question,
We have been given the two sides of a right triangle.
leg = 29 m; hypotenuse = 46 m
Let 'a' be the other leg of the right triangle.
Using Pythagoras theorem,
[tex]\Rightarrow a^{2} + 29^{2}= 46^{2}\\\\\Rightarrow a^{2}=46^{2}- 29^{2} \\\\\Rightarrow a^{2}=2116-841\\\\\Rightarrow a^{2} = 1275\\\\\Rightarrow a=\sqrt{1275}\\\\\Rightarrow a=35.7[/tex]
Therefore, the length of the third side of a right triangle is 35.7 m
Learn more about the Pythagoras theorem here:
https://brainly.com/question/343682
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Please Find attached
Answers
Answer:
Using distance formula :
AB² = (5+1)² + (3-6)²
AB² = 36 + 9
AB² = 45
AB = 6.71 units
what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]
Answers
Answer:
4/xt 3 sqaured
Step-by-step explanation:
Can someone explain this and help me with the answer?
Answers
Answer:
Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality
Step-by-step explanation:
First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.
Solve fraction 2/3x -1/2=1/6x-1/9
Answers
Answer:
Exact Form: x=7/9 Decimal Form: 0.7 (repeating)
Step-by-step explanation:
Hope this helps!! :)