Answer:
Here we have the position of an object represented by the equation:
y = 4*sin(3*x) + 4
Where we can assume that y represents the height of the object.
We want to find the maximum height of the object, and for which value of x it happens in the interval 0 ≤ x ≤ 5
First let's find the maximum height.
y = 4*sin(3*x) + 4
Here the only variation is on the sin( ) part, we know that the maximum value of the sin(x) function is:
sin(x) = 1
when x = 90° = pi/2 = 3.14/2
Replacing that in the equation, we get:
y = 4*1 + 4 = 8
The maximum height of the object is 8.
Now, we know that the maximum of the sin(x) function is when x = pi/2
But in our case, we have the function sin(3*x)
Then this function is maximized when:
3*x = pi/2
x = pi/(2*3) = pi/6 = 3.14/6
And:
0 < 3.14/6 < 5
Then the first maximum occurs at x = 3.14/6 = 0.52
But it can happen again on the interval.
The next maximum of the sin(x) function is when:
x = pi/2 + 2*pi
In our case, we again have sin(3*x), then we need to solve:
3*x = pi/2 + 2*pi
x = (pi/2 + 2*pi)/3 = (3.14/2 + 2*3.14)/3 = 2.62
This is also in the interval 0 < x < 5
The next maximum of sin(x) happens at:
x = pi/2 + 2*pi + 2*pi
In our case, for sin(3*x) we need to have:
3*x = (pi/2 + 2*pi + 2*pi)
x = (3.14/2 + 2*3.14 + 2*3.14)/2 = 4.71
This again is in the interval 0 < x < 5
(is closer to the upper value, so we can expect that the next maximum does not belong to the interval)
Then the maximum height occurs at:
x = 0.52
Then occurs again at:
x = 2.62
And finally occurs again at:
x = 4.71
•35 POINTS• (it’s not SAS)
1.SSS
2.ASA
3.SAA
Answer:
SAA
Step-by-step explanation:
How do you find the sides of a triangle with angles on a 45 45 90?
the given triangle A 45-45-90 triangle is a right triangle having interior angles measuring 45°, 45°, and 90° in degrees.
A 45-45-90 triangle is also an isosceles triangle, which means that its two legs are equal in length.
All 45-45-90 triangles are similar to each other.
Line segments DE and FG are perpendicular to side AB of the 45-45-90 triangle, ABC. Triangles ADE and AFG are also 45-45-90 triangles now, △ABC~△ADE~△AFG.
The ratio of the side lengths of a 45-45-90 triangle is:
ratio= 1:1: √2
The legs of opposite the 45° angles (the shorter sides) are √2÷2of the length of the hypotenuse (the side opposite the 90° angle)
The hypotenuse is √2 times the length of either leg.
Since a 45-45-90 triangle is also an isosceles triangle, then, the two legs are equal on measuring. Assuming x is the length of the leg and b is the length of the hypotenuse and using the Pythagorean Theorem:
x^2 + x^2= b^2
Thus, the ratio of the side lengths of a 45-45-90 triangle are x:x:√2 or 1:1: √2 respectively.
To know more about Triangle:
brainly.com/question/2773823
#SPJ4
heeeeeeeeeeeeeeeeeeelp?
Answer:
-
Step-by-step explanation:
There needs to be more information. Where is the point at?
EKA MATH²
6 M2 TD Lesson
▸
A trainer at a gym earns $2,456.75 every month. She earns an extra $4.75 every time she sells
a gym membership. Last month, the trainer sold 32 gym memberships. What is the total amount
of money the trainer earned last month?
Answer: We know that the trainer earns $2,456.75 every month, and she earns an extra $4.75 every time she sells a gym membership.
And last month she sold 32 gym memberships
We can calculate the total amount of money the trainer earned from selling gym memberships by multiplying the number of memberships sold by the amount earned per membership:
32 memberships * $4.75 per membership = $152.00
To find the total amount of money the trainer earned last month, we can add the amount earned from selling gym memberships to the amount earned from her salary:
$2,456.75 + $152.00 = $2,608.75
So, the total amount of money the trainer earned last month is $2,608.75
Step-by-step explanation:
134 minutes = __________ hours + __________ minutes
Answer:
2 hours + 14
Step-by-step explanation:
Since 1 hour = 60 min
Divide by 60 maximum it goes in 134, 2 times the excess is your minutes.
what is the axis of symetery for (0,-4)
Answer:
the axis of symmetry is 0 which is x=0
Step-by-step explanation:
How do you know which inequality represents a graph?
In order to determine which inequality represents a graph, you need to look at the inequality and identify if the equation is an open or closed interval. If it is an open interval, it will be represented by a dashed line on the graph. If it is a closed interval, it will be represented by a solid line on the graph.
1. Look at the inequality and identify if the equation is an open or closed interval.
2. If it is an open interval, it will be represented by a dashed line on the graph.
3. If it is a closed interval, it will be represented by a solid line on the graph.
4. Determine the starting and ending points of the inequality, and plot them on the graph.
5. Draw the line that connects the two points, either dashed or solid, depending on whether the interval is open or closed.
6. Shade the area of the graph that is represented by the inequality.
7. Label the graph with the inequality, the points, and the shading.
Learn more about inequality here
https://brainly.com/question/28823603
#SPJ4
Caroline was thinking of a number. Caroline halves it and gets an answer of 34.7. What was
the original number?
Answer:
69.4
Step-by-step explanation:
34 + 34 = 68
.7+.7=1.4
68+1.4= 69.4
The Lorenz curve is used to show which of the following?
A The total income generated from all activities
B The degree of inequality in the distribution of income within a country
C The progressivity of the income tax structure within a country
D The extent of wage differences among workers in similar occupations
E The change in the poverty rate within a country over time
The Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.
What is Lorenz curve?Lorenze curve can be defined as the curve that help to show how income is share or distributed within a country.
Lorenz curve is important as it play a major role when it comes to how wealth or income should be share in a country by using a pictorial representation to show inequality in income.
Inconclusion the Lorenz curve is used to show: B The degree of inequality in the distribution of income within a country.
Learn more about lorenz curve here:https://brainly.com/question/25751847
Adine is parallel to y = 5x + 9 and
intersects the point (-2, -3). What is the
equation of this parallel line?
The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).
What is a parallel line?Parallel lines are coplanar, infinite straight lines in geometry that don't cross at any point. Planes in the same three-dimensional space that never cross each other are said to be parallel.
Curves that are parallel to one another and maintain a set minimum distance do not touch or intersect. A line and a plane that do not share a point are also referred to as being parallel in three-dimensional Euclidean space. But skew lines are used to describe two noncoplanar lines.
We know that slope of parallel line are same. Thus, slope is 5 in y = 5x + 9
Now we need to put the values in y intercept form to find out the equation
y - y1 = m(x - x1)
y - (-3) = m(x - (-2))
y + 3 = 5(x + 2)
y = 5x + 10 - 3
y = 5x + 7
Thus, The equation of the line parallel to y = 5x + 9 which intersects the point (-2, -3).
Learn more about Parallel lines
https://brainly.com/question/16701300
#SPJ1
what is the volume of this triangular prism? the base is 12 ft the height is 6 ft and the bottom is 20 ft
Answer:
720 [tex]ft^3[/tex]
Step-by-step explanation:
Answer:
720 ft³
Step-by-step explanation:
Volume = Area Triangle times Length
Area triangle = 1/2(6x12) = 1/2(72) = 36 ft²
Volume = 36 ft² x 20 ft = 720 ft³
Volume = 720 ft³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
NEED HELP ASAP
PLEASE HELP, WILL GIVE BRAINLIEST
Answer:
8 1/8
Step-by-step explanation:
1st I'm going to turn these into improper fractions with a golf swing (multiply the bottom, add the top, keep denominator the same)
3 times 4 + 3 = 15, so we get 15 over 4
4 times 8 + 3 = 35, so we get 35 over 8
Next I am going to give them a common denominator. (Their least common multiple is 8)
one denominator is already 8, so we need to fix the other one by multiplying it by two (multiply both sides)
15/4 times 2/2 = 30/8
Now we add the two fractions (DO NOT ADD DENOMINATORS)
30/8 + 35/8 = 65/8
Finally to make it a mixed number, ask self, how many times does 8 go into 65? 8 times. That's the whole number. what's left over? 1. That is the numerator. The denominator stays the same.
A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?
If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.
In the given question, a new disease has been observed, and experts believe that 1% of the population have it.
A test is developed that has 95% true positive rate and 1% false positive rate.
From the given data,
Let E be the event that a patient has a disease and F be the event that a patient has tested positive.
Then according to Bayes' theorem we have,
P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')
P(E/F) = (1*95)/(1*95)*(99*1)
P(E/F) = 95/194
P(E/F) = 0.489 (approx.)
Hence, the probability that Alice has the disease 0.489.
To learn more about Bayes' theorem link is here
brainly.com/question/28096770
#SPJ4
ANSWER IM DESPERATE 10 POINTS EACH+BRAINLY IF CORRECT
Which of the following sets of ordered pairs represents a function? {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} {(-4,-14), (-9,-12), (-6,-10), (-9,-8)} {(8,-2), (9,-1), (10,2), (8,-10)} {(-8,-6), (-5,-3), (-2,0), (-2,3)}
The correct answer is A. {(-8,-14), (-7,-12), (-6,-10), (-5,-8)} which sets of ordered pairs represents a function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, we have,
sets of ordered pairs represents a function are,
{(-8,-14), (-7,-12), (-6,-10), (-5,-8)}
{(-4,-14), (-9,-12), (-6,-10), (-9,-8)}
{(8,-2), (9,-1), (10,2), (8,-10)}
{(-8,-6), (-5,-3), (-2,0), (-2,3)}
Now, we know that,
A function has no repeated values of the independent variable.
So, we have now,
Only choice A meets that requirement.
And,
B: (-9, 12) and (-9, 8) both have -9 as a first value; not a function.
C: (8, -2) and (8, -10) both have 8 as a first value; not a function.
D: (-2, 0) and (-2, 3) both have -2 as a first value; not a function.
To learn more on function click:
brainly.com/question/21145944
#SJP1
Jonnie marker has a coupon for $1.00 off a jar of Bean dip if you buy two bags of corn chips you purchase two bags of chips for $3.99 per bag and a jar of bean dip for $2.79
Help !!
Answer:
if the question is how much did you spend in total then your answer would be $9.77, let me know if this is not the question
Step-by-step explanation:
3.99 + 3.99 + 1.79
Answer:
$9.77
Step-by-step explanation:
hope the picture explains it :)
iready which expression is equivalent to the expression shown
Answer:
7^12
Step-by-step explanation:
When dividing two exponents by the same base, it is the same as subtracting the power (14-2).
A dog park is being built and needs to be fenced. The dimensions of the park will be 18.5 feet by 30.25 feet. How much fencing material will be needed to fence the entire park? Disregard gates or any other complication.
Answer:
97.5
Step-by-step explanation:
In my eyes I think we are talking about perimeter...
So then we would have to add up all the sides giving us the result.
30.25+30.25+18.5+18.5 = 97.5
And I am terribly sorry if it was incorrect I feel like i messed up on the "Disregard" part.. Anyways
Hope this helps! :)
Tell whether the rates are equivalent. 7 1/2 miles for every 3/4 hour 1/2 mile for every 3 minutes
Answer:
Yes, they are equivalent
Step-by-step explanation:
Tell whether the rates are equivalent.
Rate formula = Speed(miles)/Time(hour)
1)7 1/2 miles for every 3/4 hour
Hence
Rate = 7 1/2 miles ÷ 3/4 hour
= 15/2 ÷ 3/4
= 15/2 × 4/3
= 5 × 2
= 10 miles per hour
2) 1/2 mile for every 3 minutes
Time = 60 minutes = 1 hour
3 minutes = x
x = 3/60
x = 0.05 hour
Hence
Rate = 1/2 mile ÷ 0.05 hour
= 0.5 mile ÷ 0.05 hour
= 10 mile per hour
Therefore, both rates are equivalent
(a) Write down the value of xº
Given that 2-3 x 2⁹ = 2n
(b) find the value of n
From the equation (2-3 x 2⁹ = 2n), the value of n is -767.
What is the equation?A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is utilized.
The word equation and its cognates in various languages may have slightly different meanings. In mathematics, an equation is a formula that uses the equals sign to denote the equality of two expressions.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Given data :
2-3 x 2⁹ = 2n
= 2n = 2 - 3 .
= 3 . = 1536
= 2n = 2 - 1536
= 2n = -1534
Divide both sides by 2
= 2n/2
= -1534/2
n = -767
To know more about equation visit:
brainly.com/question/2972832
#SPJ1
Rewrite into standard form A. 4.23 x 10^-8
B. 1.89 x 10^12
C. 6.2 x 10^-1
Pls help
Which triangle is a translation of triangle X?
Answer:
triangle B
Step-by-step explanation:
...............
help me please!
- no fake answers/links please.
Answer: C
Step-by-step explanation:
Just go 2 units up on the grid and one to the left
Answer:
(3,6)
Step-by-step explanation:
First, find the coordinate of the school. The school is at (4,4).
Coordinates are written as (x,y). x represents the side to side coordinate, and y represents the up down coordinate. so if the house is one unit left of the school, subtract one from the x coordinate to get 3. if the house is two units up from the school, add 2 to the y coordinate to get 6. and there you go!
Which is closest to the quotient 4,367 -- 0. 004?
1,000
10,000
100,000
1,000,000
Answer: 1000
Step-by-step explanation:
i took this quiz before ! !
NEED HELP ASAP 50 POINTS
Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(4x−12)°
m∠CDB=(3x+6)°
What is the m∠ADC ?
Enter your answer in the box
º
Answer:
Angle ADC = 7x - 6°
Step-by-step explanation:
4x - 12 + 3x + 6 = 7x - 6
Answer:
120°Step-by-step explanation:
Diagonal BD of a given rhombus is angle bisector of ∠ADC, so:
m∠ADB = m∠CDBSubstitute the values and solve for x:
4x - 12 = 3x + 64x - 3x = 6 + 12x = 18Find the value of ∠ADC:
m∠ADC = 2(4*18 - 12) = 120°HELP! THIS IS DUE TODAY, AND I WILL MARK BRAINLEST!!!!
Answer:
C
Step-by-step explanation:
Any parallel line to the Y axis is infinite/undefined. Which means no function at all.
please help me !!
literally struggling right now !!
Shelby is creating a budget for the week. At her job, she earns $15. 50 per hour. Her rent costs $300. Shelby wants to have at least $280 left over after paying rent. Which inequality shows how many hours, h, Shelby should work?
PLEASEEE ANSWERR LOL
The inequality which shows that Shelby should work for h hours is given by 15.5 h - 300 ≥ 280.
Given that,
Rent = 300 dollars
Shelby wants to have at least $280 left over after paying rent.
The total earnings of Shelby calculated in a week are given as, 15.5 h
where,
h is the number of hours
To that we have to substract the rent amount, and we'll get how much does she have left after paying rent,
15.5 h - 300
And she wants this amount to be at least 280 dollars. The inequality can therefore be expressed as follows,
15.5 h - 300 ≥ 280
To know more about inequalities:
https://brainly.com/question/29101873
#SPJ4
i’m literally incapable of math pls help
Answer:
5. It has no solution because this symbol > is greater than and it says that -1 > n>5.
-1 is not greater than 5.
Step-by-step explanation:
Have a nice day! :-)
A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250. What is the population
On solving the provided question, we can say that by mean score the population will be 20192
What is mean?A dataset's mean is the sum of all values divided by the total number of values, often known as the arithmetic mean (as opposed to the geometric mean). Often referred to as the "mean," this is the most often used measure of central tendency. Simply dividing the dataset's total number of values by the sum of all of those values yields this result. Both raw data and data that have been combined into frequency tables can be used for calculations. Average refers to a number's average. It is straightforward to calculate:Divide by how many digits there are after adding up all the digits. the total divided by the count.
A sample of 12th grade students who took the National Assessment of Education Progress year 2000 mathematics test had a mean score of 250
200/4
= 50
50*e^{-2}
the population will be 20192
To know more about mean visit:
https://brainly.com/question/30094057
#SPJ4