Consider the following points on the graphs of y = sin(x) and y = sin(2x), with the added vertical dashed lines:
What are c and d in that order?
Answers
From the given graphs the values of c and d are, c = 0.53,
d = 0.95.
What is sinusoidal wave?
A mathematical curve defined in terms of the sine trigonometric function, of which it is the graph, is known as a sine wave, sinusoidal wave, or simply sinusoid. It is a smooth periodic function and a particular kind of continuous wave.
Let the graphs of y = sin(x) and y =sin(2x) are given.
From this graphs we have to find the value of c and d.
First from y = sin(x) to find the value of 'a'.
consider the point \((a, -\frac{4}{5})\)
⇒
\(sin(a) = -\frac{4}{5} \\a = sin^-^1(-\frac{4}{5})\\ a = -53.13\)
Now to find the value of 'c'.
Plug a = -53.13 in y = sin(2x)
\(sin(2a) = c\\sin(2(-53.13)) = 0.52622\\sin2a= 0.53\)
Hence, the value of 'c' is c = 0.53.
Now to find the value of d.
First y = sin(x) to find the value of b.
Consider, the point \((b, \frac{5}{13})\)
⇒
\(sinb = \frac{5}{13} \\b = sin^-^1(\frac{5}{13})\\ b = 22.62\)
Now to find value of d.
Plug b = 22.62 in y = sin(2x)
\(sin(2b) = d\\sin(2(22.62)) = 0.95138\\sin(2b) = 0.95\)
So, the value of 'd' is 'd = 0.95'.
Hence, from the given graphs the values of c and d are, c = 0.53,
d = 0.95.
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Related Questions
Sia sells large candles for $3 each and small candles for $2 each. She sold 17 candles for $46.00. How many of each size candle did she sell? 4 small and 13 large candles 5 small and 12 large candles 12 small and 5 large candles 13 small and 4 large candles
Answers
Answer:
The number of large size candles sells are 12 and the number of small size candles are 5 .
Step-by-step explanation:
As given Sia sells large candles for $3 each and small candles for $2 each.She sold 17 candles for $46.00.Let us assume that the large size candle sells are x .Let us assume that the small size candle sells are y. Equation becomes
x + y = 17
3x + 2y = 46
Multiply x + y = 17 by 3 and subtracted from 3x + 2y = 46 .
3x - 3x + 2y - 3y = 46 - 51
-y = - 5
y = 5
Put in the equation x + y = 17 .
x + 5 = 17
x = 17 - 5
x = 12
Therefore the number of large size candles sells are 12 and the number of small size candles are 5
the perimeter of a rectangle is 44 cm.if its length is increased by 4 cm and breadth is increased by 2 cm its area is increased by 72 sqcm. find the dimensions of the rectangle
Answers
Answer:
11 cm, 11 cm
Step-by-step explanation:
Let the length and width of the rectangle be x cm and y cm respectively.
Therefore,
Perimeter of rectangle = 44 cm
2(x + y) = 44
x + y = 44/2
x + y = 22...... (1)
Area of rectangle = xy
When length is increased by 4 cm and breadth is increased by 2 cm.
New length = (x + 4) cm
New width = (y + 2) cm
New area of rectangle = original area + 72.. (given)
Therefore,
(x + 4) (y + 2) = xy + 72
xy + 2x + 4y + 8 = xy + 72
2x + 4y = 72 - 8
2x + 4y = 66
2(x + 2y) = 66
x + 2y = 66/2
x + 2y = 33.... (2)
Subtracting equation (1) from equation (2)
x + 2y - (x + y) = 33 - 22
x + 2y - x - y = 11
y = 11
Substituting y = 11 in equation (1)
x + 11 = 22
x = 22 - 11
x = 11
Thus, the dimensions of the rectangle are 11 cm and 11 cm.
I dont pay attention to class at all and Im lost so um
Answers
Answer:
The answer is all three angles are similar to the original one
Step-by-step explanation:
Because they the three triangles are the same triangles, all you did was move it to different place by reflecting and rotating (there is a change in their position and coordinates). If it was dilation, there would be a change in size, but still there wouldn't be a change in the angles.
brainly won’t register this
Answers
Answer:
The simplified form is \(x^{\frac{2}{3} }\)
Step-by-step explanation:
So before solving this question we need to know that.....
\(\sqrt[6]{x}\) = \(x^{\frac{1}{6} }\)
(proof)
\(\sqrt[6]{x}\) = \(x^{\frac{1}{6} }\)
\((\sqrt[6]{x}) ^{6}\) = \((x^{\frac{1}{6} })^{6}\)
x = x
So now we can rewrite the question as.........
\((\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }\)
Answer:
A
Step-by-step explanation:
x^2/3
LOTS OF POINTS, PLEASE ANSWER
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train A heading towards station A, and train B heading towards station B. Train A reaches station A after 4 h. Train B reaches station B after 3 1/2 h. Station A and Station B are 562.5 mi apart.
What are the rates of the trains?
Answers
Answer:
since the rate is the same for both trains, and we know that the distance train A travels plus the distance train B travels equals 562.5 miles, we can use the D(istance) = R(ate) * T(ime) formula to solve this.
Train A:
da = R * 4
Train B:
db = R * 3.5 (using 3.5 instead of 3 and 1/2)
Solve for R:
R * 4 + R * 3.5 = 562.5
7.5 * R = 562.5
R = 75
The trains are traveling at 75 miles per hour.
Step-by-step explanation:
Answer:
speed = distance / time
since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2
speed = 585/(13/2) = 90 miles per hour.
Step-by-step explanation:
I hope it helps.
There are 24 students in priscillas class. There are more students in her class then Mrs. , Roders class. Create an inequality that represents this situation, Using x for the number of students in mrs. Roders class
Answers
The inequality that represents the situation where there are more students in Priscilla's class than Mrs. Roder's class using x for the number of students in Mrs. Roder's class is x + 1 < 24.
We know that there are more students in Priscilla's class than in Mrs. Roder's class, so the number of students in Mrs. Roder's class, represented by x, must be less than the number of students in Priscilla's class. If we add 1 to x to account for the fact that there are more students in Priscilla's class, the resulting inequality is x + 1 < 24. This means that the number of students in Mrs. Roder's class, x, must be less than 23 in order for there to be more students in Priscilla's class.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answers
On simplifying the given expression the no. that goes in green box is -7
The rule of addition of two numbers
(+) (+) = (+)adding two positive integers result in positive integer.
(-)(-) = (+)adding two negative integers results in the sum with a negative sign.
(+)(-) = (-) (-)(+) = (-)addition of two different signed Integer will result in subtraction only and the sign of the result is same as the larger number sign.
so
2 + 16x - 9 - 10x
6x + [-7] HERE [ 2 + (-9) = -7 ]
On simplifying the given expression the no. that goes in green box is -7
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consider the following. f(x, y) = x/y, p(5, 1), u = 3 5 i 4 5 j
Answers
The directional derivative of f at point p in the direction of the vector u is -38/√50.
Given, f(x, y) = x/y, p(5, 1),
u = 3 5 i 4 5 j,
We need to find the directional derivative of f at point p in the direction of the vector u.
To find the directional derivative of f at point p in the direction of the vector u, we need to follow the below steps:
Step 1:
Find the gradient of f(x, y) at point p(5, 1) by finding the partial derivatives of f with respect to x and y respectively.
∇f(x, y) = (df/dx, df/dy)df/dx
= 1/y and df/dy
= -x/y²∇f(5, 1)
= (df/dx, df/dy)
= (1/1, -5/1²)
= (1, -5)
Step 2:
Find the unit vector in the direction of u by dividing u by its magnitude.
||u|| = √(35² + 45²)
= √(1225 + 2025)
= √3250u/||u||
= (35i/√3250, 45j/√3250)
= (7i/√50, 9j/√50)
Step 3:
Find the directional derivative of f at point p in the direction of the vector u using the formula:
Directional derivative = ∇f(p) · (u/||u||)
where · denotes the dot product and ∇f(p)
= (1, -5)
Directional derivative = ∇f(p) · (u/||u||)
= (1, -5) · (7i/√50, 9j/√50)
= (7/√50) - (45/√50)
= -38/√50
Hence, the directional derivative of f at point p in the direction of the vector u is -38/√50.
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The table below shows how many of each flower Riley picked up from her garden today. Which ratio compares the number daffodils picked to the number of tulips picked
Answers
Answer:
B
Step-by-step explanation:
Select all the systems of equations that have exactly one solution.
Thank you so much for your help
Answers
Answer:
A. {y = 3x + 1 y =− 3x + 7
B. {y = 3x + 1 y = x + 1
Step-by-step explanation:
The required options are
A. {y = 3x + 1 y =− 3x + 7
B. {y = 3x + 1 y = x + 1
C. {y = 3x + 1 y = 3x + 7
D. {x + y = 10 x + y = 12
For option A
y = 3x + 1 and y =− 3x + 7
Equating both expression
3x+1 = -3x+7
3x+3x = 7-1
6x = 6
x = 6/6
x = 1
Since y = 3x+1
y = 3(1)+1
y = 4
For y = 3x + 1 and y = x + 1
Equate both expression
3x+1 = x+1
3x-x = 1-1
2x = 0
x = 0
Substitute x = 0 into y= x+1
y = 0+1
y = 1
c) {y = 3x + 1 and y = 3x + 7
Equate both expression
3x+1 = 3x+7
3x - 3x = 7-1
0x = 6
x = 6/0
X = infinity
the roots have infinite number of solutions
d) x + y = 10.... 1
x + y = 12 .... 2
Add both equations
2x+2y = 22
x+y = 11
Since we have one equation with tei unknown hence the equation has infinite number of solutions
The correct answers are A and B
True Fit operates a chain of 10 retail department stores. Each department store makes its own purchasing decisions.Haulton ,assistant to the president of True Fit ,is interested in better understanding the drivers of purchasing department costs. For many years,True Fithas allocated purchasing department costs to products on the basis of the dollar value of merchandise purchased. A $100 item is allocated 10 times as many overhead costs associated with the purchasing department as a $10 item. Haulton recently attended a seminar titled "Cost Drivers in the Retail Industry." In a presentation at the seminar,Sunshine Fabrics, a leading competitor that has implemented activity-based costing, reported number of purchase orders and number of suppliers to be the two most important cost drivers of purchasing department costs. The dollar value of merchandise purchased in each purchase order was not found to be a significant cost driver.Haultoninterviewed several members of the purchasing department at theTrue Fitstore in Miami. They believed that Sunshine Fabrics' conclusions also applied to their purchasing department.Haultoncollects the following data for the most recent year for True Fit 's
Answers
Total overhead costs for the purchasing department: $500,000
Total dollar value of merchandise purchased: $10,000,000
Total number of purchase orders: 5,000
Total number of suppliers: 1,000
Using the traditional method of allocating costs based on the dollar value of merchandise purchased, the cost per dollar of merchandise purchased would be:
$500,000 / $10,000,000 = $0.05 per dollar of merchandise purchased
To calculate the cost per purchase order and per supplier using activity-based costing, we first need to calculate the cost driver rates for each activity. The cost driver rate is the total cost of an activity divided by the total number of units of the cost driver for that activity. In this case, the cost driver for the purchase order activity is the number of purchase orders, and the cost driver for the supplier activity is the number of suppliers.
The cost driver rate for the purchase order activity is:
$500,000 / 5,000 = $100 per purchase order
The cost driver rate for the supplier activity is:
$500,000 / 1,000 = $500 per supplier
Using these cost driver rates, we can allocate the purchasing department costs to products based on the number of purchase orders and suppliers for each product. For example, if a product had 10 purchase orders and was purchased from 3 different suppliers, its total purchasing department costs would be:
(10 purchase orders x $100 per purchase order) + (3 suppliers x $500 per supplier) = $1,500
By using activity-based costing, True Fit can allocate its purchasing department costs more accurately and can identify the cost drivers that are most important for its purchasing department. This information can help True Fit make better purchasing decisions and manage its costs more effectively.
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Calculate the cost (in cents) of using a 200 watt television for 30 days if turned on 2 hours per day and if electricity costs 10 cents per kilowatt-hour
Answers
Answer:
The awnser to this equation is 120 cents
The cost of using a 200-watt television for 30 days, turned on for 2 hours per day, would be $1.20.
To calculate the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour, we need to find the total energy consumption and then multiply it by the cost per kilowatt-hour.
First, let's find the total energy consumption:
1. Daily energy usage: 200 watts * 2 hours = 400 watt-hours
2. Monthly energy usage: 400 watt-hours * 30 days = 12,000 watt-hours
Now, we need to convert watt-hours to kilowatt-hours:
3. Monthly energy usage in kilowatt-hours: 12,000 watt-hours / 1,000 = 12 kWh
Finally, let's calculate the cost:
4. Cost of using the television for 30 days: 12 kWh * 10 cents per kWh = 120 cents
So, the cost of using a 200-watt television for 30 days with 2 hours of daily usage at 10 cents per kilowatt-hour is 120 cents.
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FAST pls will give brainliest
Answers
Answer:
D
Step-by-step explanation:
Last time I took the test I got it right
Please help! Will mark brainliest IF correct
Answers
Answer:
105
Step-by-step explanation:
Answer:
105
Step-by-step explanation:
A = nh
A= 15x7
A = 105 inches squared
Help I will give brainless
Answers
Answer:
question>
Step-by-step explanation:
what ya need help with
Circle U is shown. Chords R T and Q S intersect at a point forming 4 angles. The top left angle is angle 1, and the top right angle is angle 2. Arc R Q is 53 degrees and arc S T is 47 degrees. Angle 1 intersepts arc R Q. Angle 2 intersepts arc R S.
What are the measures of angles 1 and 2?
m∠1 =
°
m∠2 =
°
Answers
Answer:
∠1 = 50°∠2 = 130°Step-by-step explanation:
The relation between intercepted arcs and angles at crossing chords can be used to find the angles of interest. That relation tells you the angle where the chords cross is half the sum of the intercepted arcs.
Angle 1The arcs intercepted by the chords making angle 1 are given as 53° and 47°. Half their sum is the measure of angle 1:
∠1 = (53° +47°)/2 = 100°/2
∠1 = 50°
Angle 2Angles 1 and 2 form a linear pair, so angle 2 is the supplement of angle 1.
∠2 = 180° -∠1 = 180° -50°
∠2 = 130°
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
What is the theorem of intersecting chord?The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
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If the scale factor between the sides is 5, what are the scale factors between the surface areas and volumes?
Answers
If the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
When the scale factor between the sides of a shape is given, the scale factors between the surface areas and volumes can be determined by considering the relationship between the dimensions.
Let's denote the scale factor between the sides as "k."
For surface area:
The surface area of a shape is determined by the square of its linear dimensions. Therefore, the scale factor for the surface area will be k^2. In this case, if the scale factor between the sides is 5, the scale factor between the surface areas will be 5^2 = 25.
For volume:
The volume of a shape is determined by the cube of its linear dimensions. Hence, the scale factor for the volume will be k^3. Given that the scale factor between the sides is 5, the scale factor between the volumes will be 5^3 = 125.
Therefore, if the scale factor between the sides is 5, the scale factor between the surface areas will be 25, and the scale factor between the volumes will be 125.
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find all excluded values for the expression. that is, find all values of for which the expression is undefined. if there is more than one value, separate them with commas.
Answers
The excluded values for the expression are y = 4 and y = -9, as these values would make the denominator zero and result in an undefined expression.
To find the excluded values for the expression (y² - 6y - 16) / (y² + 5y - 36), we need to determine the values of y that would make the denominator equal to zero. Division by zero is undefined.
The denominator of the expression is (y² + 5y - 36). To find the values that make the denominator zero, we can set the denominator equal to zero and solve for y.
Setting (y² + 5y - 36) = 0, we can factorize the quadratic equation or use the quadratic formula to find the solutions.
After factoring or using the quadratic formula, we find that the solutions to the equation are y = 4 and y = -9.
So, the excluded values are 4 and -9.
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Complete question is:
Find all excluded values for the expression.
That is, find all values of y for which the expression is undefined
y²-6y-16 / y²+5y-36
If there is more than one value, separate them with a commas
help help help help help help help help help help help help
Answers
Answer:
x=38.5
Step-by-step explanation:
tan33° = 25/x≈0.65
What quadrant is point A located in?
A. quadrant I
B. quadrant II
C. quadrant III
D. quadrant IV
Answers
NEED CORRECT ANSWER RN PLS
PLSS HELP :((
will mark brianlist if its the correct answer ty
Answers
please help! need answers today!!
Answers
Answer:
Step-by-step explanation:
log 31.3= 1.49554433755 (round to 1.496)
ln square root of 7= 0.97295507452 (round to .973)
PLEASE HURRY
Solve for x. 2x+5=4+9
Answers
Find the output, y, when the input, x, is -5.
Answers
Answer:
y = - 2
Step-by-step explanation:
When x = - 5 so, y = - 2
Hope it helps you in your learning process.
A storage container consists of a box of length 90cm, width 42 cm and height 34 cm, and a lid
in the shape of a half-cylinder, as shown in the diagram. The lid fits the top of the box exactly.
The total exterior surface of the storage container is to be painted.
Find the area to be painted.
Answers
Answer:
20079.05 cm^2,
Step-by-step explanation:
Surface area of the box without the lid
= 90*42 + 2(90*34) + 2(42*34) = 12756.
Now find Surface area of the half cylinder:
The diameter of the 2 half circles = 42 so the radius = 21.
The area of the lid
= 2 + 1/2 π (21)^2 + π r * 90
= 7323,052
Total = 20079.052
The difference of a number b and seven is 10. Answer: ?
The product of a number t and eight is twelve. Answer: ?
Twice the sum of a number m and five is the difference of nine and n. Answer: ?
Twenty-one is the quotient of a number y and 4. Answer: ?
Thrice the difference of number b and one is the product of a number c and then. Answer: ?
Answers
Answer:The answer to the first question is b = 3.
The answer to the second question is t = 8.
The answer to the third question is m = 2 and n = 7.
The answer to the fourth question is y = 84.
The answer to the fifth question is b = 5 and c = 3.
Step-by-step explanation:
What is the inverse of the function f(x) =
1/9x+ 2?
Answers
Answer:
\(f^{-1}(x) = 9x -18.\)
Step-by-step explanation:
\(y=f(x)=\dfrac 19 x +2\\\\\text{Replace x with y and then solve for y,}\\\\~~~~~~~x = \dfrac 19 y+2\\\\\implies 9x =y + 18~~~~~~~~~~~~~~~;[\text{Multiply both sides by 9}]\\ \\\implies y = 9x -18\\\\\implies f^{-1}(x) = 9x -18\\\\\text{Hence, the inverse of the given function is}~ f^{-1}(x) = 9x -18.\)
1.Let ????=(1,−3). Calculate the length of ????????→, where ????=(0,0). (Use symbolic notation and fractions where needed.)
2.Give an equation for the cylinder passing through (0,2,7)(0,2,7) with the vertical line through (1,0,0)(1,0,0) as its central axis.
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
Answers
The length of the vector ????????→ is √10. the equation of the cylinder passing through (0,2,7) with the vertical line through (1,0,0) as its central axis is (x - 1)² + y² = 1/5(7 - 2z)².
For the first problem, we need to find the length of the vector from (1, -3) to (0, 0). Using the distance formula, we have
√[(0 - 1)² + (0 - (-3))²] = √[1 + 9] = √10
Therefore, the length of the vector is √10.
For the second problem, we can start by finding the equation of the line passing through (1,0,0) and (0,2,7). This line has direction vector (-1, 2, 7) and passes through (1,0,0), so its vector equation is
r = <1, 0, 0> + t<-1, 2, 7>
Next, we need to find the equation of a circle with radius r centered at the point (1,0,0). This circle lies in a plane perpendicular to the line passing through (1,0,0) and (0,2,7), so we can use the cross product of the direction vector of the line and the vector from (1,0,0) to (0,2,7) to find a normal vector to the plane
n = (-1, 2, 7) x (-1, 0, 0) = <0, 7, 2>
The equation of the plane is then
0(x - 1) + 7y + 2z = 0
Simplifying this equation, we get
7y + 2z = 7
Finally, we can combine the vector equation of the line and the equation of the plane to get the equation of the cylinder
(x - 1)² + y² = 1/5(7 - 2z)²
This is the equation of the cylinder passing through (0,2,7) with the vertical line through (1,0,0) as its central axis.
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Casey is kayaking on a lake. It took Casey 20 minutes to travel 0.4 miles. How many miles will he kayak in 2 hours?
Answers
Answer:
2.4 miles
Step-by-step explanation:
0.4 / 20 = 0.02
0.02 x 120
= 2.4
PLEASE HELP!!!!
someone please write a monologue about crying.
I WILL MARK YOU AS BRAINLIEST
Answers
ANSWER:
Tears streamed down my cheeks. I stared at the floor, watching the tears hit the ground. Crying is different now. Crying used to have emotion. Meaning. Now it feels meaningless. I'm numb. I don't understand. I don't WANT to understand. Objects, people, love, hate, questions, answers. It's all blurred. It's something, but nothing, yet everything at once.