Answers
An equation that models the trigonometric graph is:
y = 4 sin 4x
How to interpret the trigonometric graph?The general form for an equation that models a wave is this:
±a (sin/cos) (2π(x - p)/T)
where:
a is the amplitude
p is the phase shift
T is the period.
The ±ve will turn into +ve if the graph tends to start from the positive direction, and then turns -ve if it the graph tends to start from the negative direction.
The (sin/cos) will definitely become sine if the graph starts at 0 before it is being shifted. Then, it becomes cosine if the graph begins at the amplitude.
In this problem, we see that the graph begins as positive, and then at the amplitude with no phase shift, we see that the ±ve becomes +ve, (sin/cos) becomes sin, and p becomes zero. Plugging in the given values in the problem, we see that a = 4 and T = π/2.
We see that this equation becomes:
y = 4sin(2πx/(π/2)).
y = 4 sin 4x
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Related Questions
You pick a card at random.
1 2 3 4
What is P(factor of 24)?
Write your answer as a percentage rounded to the nearest tenth
Answers
Answer:
100%
Step-by-step explanation:
All of the numbers are factors of 24. So, picking a factor of 24 is guaranteed, so the probability is 1.
This is equal to 100%.
A full can of paint contains 4/5 of a gallon. Brandon used 3/4 of a can of paint to paint a doghouse. He then used 2/3 of what remained in the can to paint a door. How much paint is left in the can,in gallons?
Answers
Answer:
1/60 gallon
Step-by-step explanation:
You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.
Amount remainingTo find the amount remaining we subtract the amount used for the doghouse from the original amount:
4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon
2/3 of that was used, so 1/3 of it remains:
(1/3)(1/20 gallon) = 1/60 gallon
There is 1/60 of a gallon of paint left in the can.
__
Additional comment
In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.
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Find the surface area
of the figure below:
19 cm
30 cm.
Answers
The surface area of the figure is approximately 997.5π cm².
We have,
The figure has two shapes:
Cone and a semicircle
Now,
The surface area of a cone:
= πr (r + l)
where r is the radius of the base and l is the slant height.
Given that
r = 15 cm and l = 19 cm, we can substitute these values into the formula:
= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)
The surface area of a semicircle:
= (πr²) / 2
Given that r = 15 cm, we can substitute this value into the formula:
= (π(15)²) / 2
= 112.5π cm² (rounded to one decimal place)
The surface area of the figure:
To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:
Now,
Total surface area
= 885π + 112.5π
= 997.5π cm² (rounded to one decimal place)
Therefore,
The surface area of the figure is approximately 997.5π cm².
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2a + 6 = 12
What does (A) equal?
Answers
Answer:
a = 3
Step-by-step explanation:
2a + 6 = 12
-6 -6
----------------
2a = 6
take six and divide by 2
a = 3
Answer:
3
Step-by-step explanation:
2a + 6 = 12
2a = 6 - 12
2a = 6
a = 6/2
= 3
Hope this helps
categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay?
Answers
Answer:
Linear decreasing
Step-by-step explanation:
Ape.x
Smart Kitchen sells chocolate nonpareils in 8 oz. containers. Because the candy pieces are not uniform, the weight of each individual container varies slightly. A random sample of nine containers was weighed on a precision scale and the results are shown below:
8.09
8.20
8.03
7.86
7.87
8.06
8.43
7.99
8.08
Determine the interquartile range for this sample. Are there any outliers in this data set?
Answers
The interquartile range of the data will be 0.215.
How to calculate the valueThe lower half is:
7.86, 7.87, 7.99, 8.03
The median of the lower half is:
(Q1) = (7.87 + 7.99) / 2 = 7.93
The upper half is:
8.06, 8.08, 8.09, 8.20, 8.43
The median of the upper half is:
(Q3) = (8.09 + 8.20) / 2 = 8.145
The IQR is the difference between the third and first quartiles:
IQR = Q3 - Q1 = 8.145 - 7.93 = 0.215
Lower outlier threshold: Q1 - 1.5 x IQR = 7.93 - 1.5 x 0.215 = 7.5955
Upper outlier threshold: Q3 + 1.5 x IQR = 8.145 + 1.5 x 0.215 = 8.4795
None of the data points fall outside these thresholds, so there are no outliers in this data set.
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Find the value of y.
Answers
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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What is the sum of the solutions for the
equation 4x^2- 8x - 12 = 0?
A) -4
B) -2
C) 2
D) 4
Answers
The sum of the solutions for the equation 4x²- 8x - 12 = 0 will be 2. The correct option is C.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
To find the sum of the solutions of the equation 4x^2-8x-12=0, we first need to find the solutions of the equation. We can start by factoring in the left-hand side of the equation:
4x²-8x-12=0
4(x²-2x-3)=0
4(x-3)(x+1)=0
So the solutions of the equation are x=3 and x=-1. The sum of these solutions is:
3 + (-1) = 2
Therefore, the answer is C) 2.
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The area of this rectangle is 54 square inches. Create an equation to find the value of n. Length is 3(n-1) and the width is n+2
Answers
Value of n is 4
The area of a rectangle is equal to the product of its length and width.
we know ,
the area of rectangle, multiply the length, , and the width, ,
and set the product equal to the area.
area of rectangle = length * width
54 = 3(n - 1) * (n + 2)
54 =( 3n - 3) * (n + 2)
multiply ( 3n - 3) with (n + 2)
we get,
54 = \(3n^{2} + 6n - 3n -6\)
54 = \(3n^{2} + 3n -6\)
54 = 3(\(n^{2} + n -2\))
\(\frac{54}{3}\) = (\(n^{2} + n -2\))
18 = (\(n^{2} + n - 2\))
\(n^{2} + n - 2\) - 18 = 0
\(n^{2} + n - 20\) = 0
solve them
\(n^{2} + 5n + 4n -20\) = 0
n (n + 5) - 4 (n + 5) = 0
(n + 5)(n -4)
then we get,
n = -5 , n = 4
value of n should not be negative . so value of n is 4
Area of rectangle is the region occupied by a rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides. Hence, we can say, the region enclosed by the perimeter of the rectangle is its area
Area of rectangle = Length x Breadth
A = lb
how to Factoring Quadratic Equation
Step 1: Consider the quadratic equation ax2 + b x + c = 0
Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b.
(number 1)(number 2) = ac
(number 1) + (number 2) = b
Step 3: Substitute these two numbers in the formula given below:
(1/a) [a x + (number 1)] [a x + (number 2)] = 0
Step 4: Finally simplify the above equation.
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How do you divide fractions? Can someone please explain step by step to get marked as brainliest!
Answers
When diving fractions, use KFC:
K eep the first fraction the same
F lip the second fraction upside down
C hange the divide sign to a multiply
After, just work it out multiplying the denominators and the numerators together getting your answer
Hope this helped you, have a good day bro cya)
K: Keep ( keep the first fraction the same)
C: Change (change your division sign to a multiplication sign)
F: Flip (flip your second faction numbers)
Ex.
Equation: 3/5 divided by 2/6
KCF: 3/5 multiplied by 6/2
Hope this helps!
-3(-7b + 3) + 8b = 5b-4(1 - 6b)
Answers
Answer:
No solution
Step-by-step explanation:
To the nearest megawatt, what is the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010?
Answers
Answer:
7739.5
Step-by-step explanation:
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=2 feet and b=1 foot, what is c?
Answers
Step-by-step explanation:
this is a college level question ????????
are you kidding me ?
Pythagoras we all know already latest since middle school (if not already from upper elementary school).
and you need help with that ?
always (ALWAYS !) remember Pythagoras :
a² + b² = c²
a, b are the legs, c is the Hypotenuse (the side opposite of the 90° angle).
so, in our case :
c² = 2² + 1² = 4 + 1 = 5
c = sqrt(5) ft = 2.236067977... ft
"sqrt" standing for "square root".
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answers
Answer:
see explanation
Step-by-step explanation:
vertical angles are angles on the opposite side at a vertex of 2 lines.
1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles
supplementary angles sum to 180°
adjacent angles on a straight line sum to 180°
1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.
The function h(t) = - 16t2 + 48t + 160 can be used to model the height, in feet, of an object t
seconds after it is launched from the top of a building that is 160 feet tall.
Two other forms of the function are:
h(t) = -16(t - 5)(t+2)
h(t) = -16(t-1.5)2 +196
Which value of the function represents the maximum height of the object?
A h(0)
B. h(1.5)
C. h(2)
D. h(5)
Answers
Answer:
answer is c because you have to put in the 2 and get -16
f(x)=x3 −4x even odd or neither
Answers
Answer:
The function would be odd
The answer is neither.
Let's take an odd number and substitute.
f(3) = 3³ - 4(3)f(3) = 27 - 12f(3) = 15 (odd)Now, let's take an even number.
f(4) = 4³ - 4(4)f(4) = 64 - 16f(4) = 48 (even)Since both even and odd numbers are possible, it is neither.
If the sum of a number and four is doubled, the result is one less than the number. Find the number.
Answers
Answer:
Step-by-step explanation:
Equation
2(x + 4) = x - 1
Solution
2x + 8 = x - 1 Subtract x from both sides
2x-x + 8 = - 1 Combine the left
x + 8 = - 1 Subtract 8 from both sides
x + 8-8 = - 1-8
x = - 9
Check
LHS
2(-9 + 4)
2(- 5)
-10
RHS
-9 - 1
- 10
given a pair of similar triangles find the missing length x and the missing angles a,b,c
Answers
Angles of similar triangles are always congruent a: 63, b: 88, c: 29 and x = 53.75
Find the missing length?Based on the information available, there are numerous equations for calculating the area of a triangle. As indicated in the calculator above, please use the Triangle formula for additional information and equations for calculating the area of a triangle as well as determining the sides of a triangle using whatever information is available.
find the ratio between the two triangles:
40 on the left corresponds to 50 on the right = 40/50 = 43/x
to find x:
40x = 43 × 50
40x = 215
x = 215/40
x = 53.75
"angles of similar triangles are always congruent."
a: 63
b: 88
c: 29
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Full question:
Given a pair of similar triangles, find the missing length x and the missing angles A, B, and C.
What is the value of r?
Answers
Chi has $13.30 in dimes and quarters. The number of dimes is three more than four times the number of quarters. How many of each are there?
Answers
Answer:
To solve this problem, we will use the following steps:
Step 1: Let's assume that the number of quarters is x, and the number of dimes is y
Step 2: We know that the number of dimes is three more than four times the number of quarters, so we can write the equation: y = 4x + 3
Step 3: We also know that Chi has $13.30 in dimes and quarters. Since dimes are worth $0.10 and quarters are worth $0.25, we can write the equation: 0.25x + 0.10y = 13.30
Step 4: Now we have two equations with two unknowns, we can substitute one equation into another to find the value of x and y.
y = 4x + 3
0.25x + 0.10(4x + 3) = 13.30
0.25x + 0.40x + 0.30 = 13.30
0.65x = 13
x = 20
Step 5: We can substitute the value of x in one of the equation, to find the value of y
y = 4(20) + 3
y = 83
Final Answer: Chi has 20 quarters and 83 dimes.
Note: We can check our solution by multiplying the number of quarters by $0.25 and the number of dimes by $0.10 to check if the total money is $13.30 which is true.
Which of these figures has rotational symmetry?
Answers
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The correct option is D.
What is Rotational Symmetry?
Rotational symmetry, also known as radial symmetry, is the quality that a form exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an item is the number of possible orientations in which it appears precisely the same for each revolution.
Since for the rotational symmetry, the figure should look the same even if the figure is rotated. Thus, the figure that has a rotational symmetry is a rhombus. Hence, the correct option is D.
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What are the coordinate points of A, B, C and D in quadrilateral ABCD? Refer to the image attached :)
Answers
Answer:
(-3,4),(5,4),(5,-4),(-3,-4)
Step-by-step explanation:
I mean its plotting
Someone help me on this.
Answers
Answer:
\(-57-39i\)
Step-by-step explanation:
So we have the expression:
\((7+2i)(-9-3i)\)
FOIL:
\(=7(-9)+7(-3i)+2i(-9)+2i(-3i)\)
Simplify:
\(=-63-21i-18i-6i^2\)
Recall that i² is just -1. Thus:
\(=-63-21i-18i-6(-1)\)
Simplify:
\(=-63-21i-18i+6\)
Combine like terms:
\(=(-63+6)+(-21i-18i)\)
Add:
\(=-57-39i\)
And we're done!
y= mx(slope)+b(y intercept)
Answers
Answer:
y = 5/6x + 1
Step-by-step explanation:
rise over run method:
if you count up and across from the first yellow point to the second, you get 5 up 6 across making the slope 5/6
it is positive because it goes up
the y intercept is 1
4x and 16y are like terms.
O A. True
O B. False
Answers
X and Y are two different variables.
B.False
Explanation: If they were like terms they would both have the same variable.
In the figure below, AD and EC intersect at point G, mAGB= 31°, and mAGE equal 71°
Answers
Answer: A
Step-by-step explanation:
Because angle EGC is as straight angel, angle BGC = 180 - 31 - 71 = 78
QUESTION 4 of 10: Market researchers often report discretionary income. Discretionary income is your disposable income minus your fixed
expenses. Your disposable income is $2,920. After you pay fixed expenses of rent, utilities, groceries, and a car payment, you have $900.
What percentage of your disposable income is discretionary?
a) 18%
b) 31%
c) 45%
d) 69%
Answers
Answer:31
Step-by-step explanation:
Answer:
b) 31 %
Step-by-step explanation:
Select all of the trips that would take 2 hours.
1.Drive 60 miles per hour between Buffalo and Seneca Falls, which are 120 miles apart.
2.Walk 3 miles per hour to school, which is 1.5 miles away.
3.Take a train going 80 miles per hour from Albany to New York City
Answers
Answer:
#1 and #3
Step-by-step explanation:
if you divide the total distance between them you will get 60 for #1 and 80 for #3 if you multiply them both by 2 you get the total amount of miles for 2 hours
Answer:
1 and 3
Step-by-step explanation:
120 divided by 60=2
160 divided by 8=2
hopes this helps!! have a nice day!!
I need a bat a hit ball with this sport
Answers
I need a bat a hit ball with this sport.
The word "sport" refers to Baseball game.
About BaseballBaseball is a team ball game played by two teams, namely the pitcher team and the batter team. The game begins when the pitcher throws the ball to the batter who is called the batter. Baseball is almost the same as softball, but the size of the tools used and the fields are different.
Baseball is included in small ball games and is often included in sports lessons at school. In order to play proper baseball, there are several rules that need to be observed. In addition, the complete protection needs to be met so that players can avoid injury.
Baseball game was first created in Coperstown, New York in 1883 by Abner Doubleday. But the first baseball rules made in 1845 by Alexander J. Cartwright.
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Which function represents the inverse of function f?
= 3x + 5
O A. T (2)
O B.
O c.
O D.
=-3x - 5
x+ //
– ž
g(x) =
p(x) =
8(x) = 3z +5
x
Answers
The inverse function of f(x) = 3x + 5 is given as follows:
C. p(x) = 1/3x - 5/3.
How to obtain the inverse function?The function in the context of this problem is defined as follows:
f(x) = 3x + 5.
To obtain the inverse function, first we must exchange the variables x and y, hence:
y = 3x + 5
x = 3y + 5.
Now we must isolate the variable y, hence:
3y = x - 5
y = (x - 5)/3.
p(x) = 1/3x - 5/3.
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