Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
some students are painting a mural on the side of a building. they have enough paint for a 1000-square-foot area triangle. if two sides of the triangle measure 60 feet and 120 feet, then what angle (to the nearest degree) should the two sides form to create a triangle that uses up all the paint
The angle is 16 degrees or 164 degrees.
Any triangle that is not a right triangle is said to be oblique. There are two types of triangles: acute triangles, in which all three angles are less than right angles, and obtuse triangles (one of the three angles is greater than a right angle). Actually, right triangles could equally well be included in the category of "oblique triangles" for trigonometric purposes. In that case, studying oblique triangles is basically studying all triangles.
Given, the area of an oblique triangle which is going to be used as an area of the formula backward to find a missing measure.
We know two side lengths of the triangular region 60 ft and 1 20 ft
Area = 1000-square-foot
A= 1/2*60*120=1000
A=3600=1000
Dividing both sides with 3600,
We get an angle of 16 degrees.
But it is also possible that the area will be the same. If we use this in supplementary angle as well we get,
180-16 = 164 degrees.
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Stacy makes 1.5 L of yogurt. She wants to fill 125 mL cups with yogurt. Which calculation can be used to determine the number of cups Stacy can fill?
Answer:
12 cupsStep-by-step explanation:
Total amount of yogurts made by Stacy = 1.5 Litres
Volume of each cups to be filled with yogurts = 125mL = 125*10⁻³Litres
To get the number of cups Stacy can fill for her to exhaust 1.5Litres can be gotten using the relationship;
Number of cups = Total volume of yogurts made/Volume of each cup
Number of cups = 1.5/125*10⁻³
Number of cups = 1.5/0.125
Number of cups = 12 cups
Number of cups Stacy can fill is 12 cups
ASAP I WILL GIVE BRAINIEST IF ANSWERED ASAP!! PLEASE PLEASE HELP
Answer:
2x + 3 =84
Step-by-step explanation:
Answer:
2x + 3 = 84
Step-by-step explanation:
Goran wants to save $900 to buy a TV. He saves $18 each week. The amount, A (in dollars), that he still
needs after w weeks is given by the following function.
A (w)= 900 - 18
Answer the following questions.
(a) If Goran still needs S576, how many weeks has he been saving?
weeks
(b) How much money does Goran still need after 5 weeks?
PLZ HELP :(
Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
Answer:
Step-by-step explanationuuh soo I don’t understand this app:
Which of the following represents this number written in expanded form? four hundred sixteen and eighty-two hundredths
A 4 × 100 + 1 × 10 + 6 × 1 + 8 × 1 10+ 2 × 1 100
B 4 × 100 + 1 × 10 + 6 × 1 + 80 × 1 10+ 2 × 1 100
C 400 × 100 + 10 × 10 + 6 × 1 + 8 × 1 10+ 2 × 1 100
D 400 × 100 + 10 × 10 + 6 × 1 + 80 × 1 10+ 2 × 1 100
The expression that represents the number four hundred sixteen and eighty-two hundredths written in expanded form is given as follows:
4 x 100 + 1 x 10 + 6 x 1 + 8 x 1/10 + 2 x 1/100.
How to write a number in expanded form?In mathematics, expanded form is a way to represent a number as the sum of its place values, where each digit is multiplied by its corresponding place value and then added together.
The place values are given as follows:
Four hundred = 4 x 100.Sixteen = 1 x 10 + 6 x 1.Eight-two hundreds = 82/100 = 8 x 1/10 + 2 x 1/100.Hence the expanded form of the number is given as follows:
4 x 100 + 1 x 10 + 6 x 1 + 8 x 1/10 + 2 x 1/100.
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This diagram shows the blue prints a contractor drew for a ramp. In order for the ramp to meet safety regulations, the angle created by the bottom of the ramp and the ground should be no more than 18°.
How many degrees should the contractor lower the ramp by in order to meet safety regulations?
Enter your answer, rounded to the nearest tenth, in the box.
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
We have,
To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.
In the given triangle, the height is 6 ft and the base is 16 ft.
The angle we want to find is opposite the height (let's call it θ).
The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.
sin(θ) = opposite/hypotenuse
sin(θ) = 6/16
sin(θ) = 0.375
To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:
θ = arcsin(0.375)
θ ≈ 22.62°
To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:
22.62° - 18° ≈ 4.62°
Thus,
The contractor should lower the ramp by approximately 4.62° to meet safety regulations.
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A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. What is the measure of the angle between Elm Street and Pine Avenue? 54° 72° 108° 144°
Answer:
72°
Step-by-step explanation:
From the information given:
A town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue.
We are also told that there is a Trapezoid EFGH with EH as the Pine avenue and EF as the Elm street.
However, side FG and EH are parallel.
∠G = 108°
From the property of parallel lines :
since FG || EH
Then ∠G = ∠H = 108° (i.e corresponding angle will also be equal)
The required angle between Elm Street and Pine Avenue would be interior angles + 180° given that alternate angles are also equal.
The required angle between Elm Street and Pine Avenue = 180° - 108°
The required angle between Elm Street and Pine Avenue = 72°
Answer:
B. 72
Step-by-step explanation:
The city of Raleigh has 9500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 112 said they'd vote for Brown, 207 said they'd vote for Feliz, and 31 were undecided.
a. What is the population of this survey?
b. What is the size of the population?
c. What is the size of the sample?
d. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown.
e. Based on this sample, we might expect how many of the 9500 voters to vote for Brown?
Answer:
a. The population is represented by the registered voters of the Raleigh city
b. The population size is 9,500
c. The sample size is 350
d. The proportion of people that voted for Brown was 32% >> (112 x 100) / 350 = 32%
e. The expected number of Brown's voters is 3,040 >> (32 x 9,500) / 100 = 3,040
Step by step explanation:
In statistics, a population includes all the dataset from the study, while a sample is represented by one or more observations obtained from this dataset. The proportion can be represented by two fractions (ratios) which are equivalent to each other. Finally, the estimated size of the total population can be estimated by multiplication of the observed ratio in the sample and the size of the population (32 % x 9,500), and then dividing this number by the total ratio value.
Which describes the collection of all points in the same plane that are 81/2 inches from point T
The figure will be a sphere with center T and radius 8 1/2 inches, that is, option D.
A circle is a closed curve constituting of the set of all points in a plane that are equidistant from a given point. This point is the center of the circle and the distance is the radius of the circle.
A circle is a 2-dimensional figure, and the two dimensional does not contain the set of all points in the 3-dimensional plane.
A sphere is a round geometrical object and is the set of all points that are equidistant from a given point, in the three-dimensional space.
Here, we are given that there is a point T and we need to describe the collection of all points in the same plane that are 8.5 inches from point T.
Going by the definitions given above, we can infer that it is a sphere with center T and radius 8.5 inches. If we take it to be a circle then it will not include the points in the 3D plane, hence, sphere.
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Your question was incomplete, check for the full content below-
Which describes the collection of all points in the same plane that are 8 1/2 inches from point T?
A.) Circle T with radius 8 1/2 inches
B.) circle T with diameter 8 1/2 inches
C.) circle T with radius 17 inches
D.) a sphere with center T and radius 8 1/2 inches
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Find the slope giving brainlest
Answer:
The slope of problem 11 is
\( - \frac{2}{5} \)
The slope of problem 10 is
\( 4\)
An electrician wants to know whether batteries made by two manufacturers have
significantly different voltages. The voltage of 108 batteries from each manufacturer
were measured. The population standard deviations of the voltage for each
manufacturer are known. The results are summarized in the following table.
Manufacturer Sample mean voltage (millivolts) Population standard deviat
A
B
179
178
1
What type of hypothesis test should be performed? Select
What is the test statistic? Ex: 0.12
Does sufficient evidence exist to support the claim that the voltage of the batteries made
by the two manufacturers is different at the a= 0.05 significance level?
The appropriate hypothesis test is a two-sample t-test for independent samples.
The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.
The test statistic can be calculated using the formula:
t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Where:
x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.
s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.
n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.
Plugging in the given values:
x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108
t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))
t = 1 / sqrt(0.00926 + 0.0463)
t ≈ 1 / sqrt(0.05556)
t ≈ 1 / 0.2357
t ≈ 4.241
To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).
The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.
Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.
Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.
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A 64-foot piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces.
The length of the first, second, third pieces of sidings are 8 ft, 24ft and 32 ft respectively.
How to find the length of all the pieces?The 64 ft piece of siding is cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece.
The length of the three pieces of siding can be found as follows:
x = length of the first piece
Therefore,
Second piece = 3x
Third piece = 4x
Hence,
x + 3x + 4x = 64
8x = 64
divide both sides by 8
x = 64 / 8
x = 8
Therefore, the length of all the pieces are as follows;
First piece = 8 ft
Second piece = 3(8) = 24 ft
Third piece = 4(8) = 32 ft
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2х +8y = 16 -3х +6y = 30determine the number of solutions
Given: The system of equation below
\(\begin{gathered} 2x+8y=16 \\ -3x+6y=30 \end{gathered}\)To Determine: The number of solutions
Solution
Combine the two equations and solve
\(\begin{gathered} equation1:2x+8y=16 \\ equation2:-3x+6y=30 \end{gathered}\)Multiply equation by 3 and equation 2 by 2
\(\begin{gathered} 3(2x+8y=16)=6x+24y=48==equation3 \\ 2(-3x+6y=30)=-6x+12y=60==equation4 \end{gathered}\)Add equation 3 and 4
\(\begin{gathered} 6x-6x+24y+12y=48+60 \\ 36y=108 \\ y=\frac{108}{36} \\ y=3 \end{gathered}\)Substitute y in equation 1
\(\begin{gathered} 2x+8y=16 \\ 2x+8(3)=16 \\ 2x+24=16 \\ 2x=16-24 \\ 2x=-8 \\ x=-\frac{8}{2} \\ x=-4 \end{gathered}\)Hence, x = -4, y = 3
Help me please 25 points
Answer: A
Step-by-step explanation:
You just have to move, translate it 7 units to the right.
What was the name of the savings plan on the earnings statement?
O
402K
O Gross Pay
401K
O None of the above
35005 multiplied by
6 =
Answer:
210030
Step-by-step explanation:
You can use a calculator.
The capacity of a water tank is 10000 litres and there is 4800 litres of water. A water tap can fill 40 litres of water per minute and another tap can empty 25 litres of water per minute. If both the taps are opened together for 10 minutes, then how much water will be in the tank after 10 minutes?
The amount of water tank with water after 10 minutes will be 4950 liters.
To solve this problem, we need to keep track of the net flow of water into the tank over the course of 10 minutes. The tap filling water adds water to the tank, while the tap emptying water removes water from the tank.
Let's calculate the net flow rate of water per minute:
Flow rate = (filling tap flow rate) - (emptying tap flow rate)
Flow rate = 40 L/min - 25 L/min
Flow rate = 15 L/min
Now, we can calculate the net flow of water over 10 minutes:
Net flow of water = (flow rate) * (time)
Net flow of water = 15 L/min * 10 min
Net flow of water = 150 L
Therefore, over the course of 10 minutes, the net flow of water into the tank is 150 liters.
Initially, the tank had 4800 liters of water. Adding the net flow of water, we can determine the final amount of water in the tank:
Final amount of water = (initial amount of water) + (net flow of water)
Final amount of water = 4800 L + 150 L
Final amount of water = 4950 L
After 10 minutes, there will be 4950 liters of water in the tank.
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Can someone pls answer this question fast?
Answer:
the answer is 8/3
Step-by-step explanation:
-2/3 ÷ 1/-4
-2/3 × -4/1
8/3
mark me as brainliest plyyzzz
Answer:8/3
Step-by-step explanation:rewrite the fraction then multiply the reciprocal calculate
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Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
Write the number 8.62 thousand or 8.62K in ordinary notation.
Answer:
8,620 (Scientific notation is 8.62*10^3)
Step-by-step explanation:
Question... isn't it just the real number?
In a factory, there are two machines called A and B work independently. Machine A produces 8100 items of which 740 are damaged. Machine B produces 9200 items of which 760 are damaged. If one item is taken from each machine, what is the probability that both items are damaged? (Please provide the steps for calculations) (5 marks) Using appropriate examples from the h L
If one item is taken from each machine (Machine A and Machine B), the probability that both items are damaged is 0.755%.
What is probability?Probability refers to the likelihood that an expected outcome occurs when there are many possible outcomes.
Probability represents the quotient of the number of expected successes and the total number of successes.
Probability can be expressed as a proportion, with values ranging from zero to 1, as a fractional value, or as a percentage from 0% to 100%.
Machine A Machine B
Production units 8,100 9,200
Damaged units 740 760
The probability of one item taken from Machine A being damaged = 740/8,100
= 0.0914
The probability of one item taken from Machine B being damaged = 760/9,200
= 0.0826
The probability that if one item is taken from each machine, both items are damaged = P(A and B) = P(A) × P(B)
= 0.755% (0.0914 x 0.0826)
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The dot plots represent the number of students who enrolled each year for the AP psychology course at two schools. The data represents the last 24 years. Which statement is true based on the mean number of students enrolled in the course?
Answer:
D. The number of students enrolled each year in school 1 is generally lower than the number of students enrolled in school 2.
Step-by-step explanation:
I got it right on the test :)
the question is long so ill send a pic of it.
we have that
the linear equation is
y=22.8x+105
Which of the following statements is true for a point in the first quadrant of the coordinate plane?
A. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the left.
B. To grab a point (x, y) in the first quadrant of the coordinate plane, move x units to the right of the origin and y units up.
C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units to the left of the origin and y units up.
C. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units from the origins and Y units to the right.
D. To graph a point (x, y) in the first quadrant of the coordinate plane, move x units up from the origin and y units to the right.
Answer:
Choice B: Start at the origin. Move \(x\) units to the right, and \(y\) units upwards.
Step-by-step explanation:
There are two axes on a typical Cartesian coordinate plane:
The horizontal \(x\)-axis, andThe vertical \(y\)-axis.Many diagrams of a Cartesian plane would have arrows on these two axis. Typically, there would be:
a rightward arrow \(\verb!->!\) on the right-hand side of the horizontal \(x\)-axis, andan upward arrow \(\uparrow\) at top of the vertical \(y\)-axis.The arrow on the \(x\)-axis pointing rightward suggests that as a point move to the right, the \(x\!\) coordinate of that point would increase. Conversely, it would be necessary to move points to the right so as to increase their \(\! x\)-coordinates.
On the other hand, the arrow pointing upwards on the \(y\)-axis indicate that as a point move upward, the \(y\!\) coordinate of that point would increase. With a similar logic, it would be necessary to move points upward to increase their \(\! y\)-coordinates.
Besides, the origin (the intersection of the two axis, unless otherwise specified) would corresponds to \((0,\, 0)\). (That is: \(x = 0\) and \(y = 0\).) If the origin \((0,\, 0)\!\) is the starting point, it would be necessary to increase the \(x\)-coordinate by \(x\!\) units (by moving rightward \(x\!\!\) units) and increase the the \(y\)-coordinate by \(y\!\) units (by moving upwards \(y\!\!\) units) so as to reach the point \((x,\, y)\).
Solve the following inequality: 5+2x<-1
Answer:
x<-3
Step-by-step explanation:
Add -5 to -1 = -6
2x<-6
Divide by 2
-6/2 = -3
ASAP pleaseeeee Marty was renting a boat and wanted to get the best plan . Rental plan A charges a fee of $ 50 plus $ per hour Plan B charges a fee of $ 10 plus $ 35 per hour , wrote a syatem of equations (be sure ti identify the variables )
Answer:
50(x) and 10+35(x)
Step-by-step explanation:
Because ypu are multiplying 50 by however many hours and then you are adding 10 to 35 foreveryhour
fellow point stealers/hustlers rise up
Answer: I will help ppl if I know the answers but besides that I look for questions like this.
Step-by-step explanation: