Answers
Answer:
\(y=2cos(4\pi x)\\ \)
Step-by-step explanation:
Since the amplitude of the cosine function is 2, I would put the multiply it by 2. There is no phase shift
The period is 1/2, so it would be 4pi
Plug them in into y=Acos(Bx), y=2cos(4pix)
Related Questions
Draw the straight line graph of the given function y = -2x+1 ; -2
Answers
Answer:
0 given
Step-by-step explanation:
pls mark this
In each of problems 5 through 11, find the general solution of the given differential equation
Answers
The complete question is
"Find the general solution of the given differential equation
y''-y=0, y1(t)=e^t , y2(t)=cosht
The function \(y(t)=e^t\) is the solution of the given differential equation.
The function y(t)=cosht is the solution of given differential equation.
What is a function?
The function is a type of relation, or rule, that maps one input to specific single output.
Given;
\(y_1(t) = e^t\)
Given differential equations are,
y''-y = 0
So that,
\(y' (t) = e^t, y'' (t) = e^t\)
Substitute values in the given differential equation.
\(e^t -e^t=0\)
Therefore, the function \(y(t)=e^t\) is the solution of the given differential equation.
Another function;
\(y(t)=cosht\)
So that,
\(y"(t)=sinht\\\\y"(t)=cosht\)
Hence, function y(t)=cosht is solution of given differential equation.
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Explain why the statement x = 50 is not a legitimate hypothesis.
Legitimate hypotheses can only test if a characteristic is equal to 1. Legitimate hypotheses can only use >, <, or #. Legitimate hypotheses concern population characteristics, while x is a sample statistic. Legitimate hypotheses concern sample characteristics, while x is a population statistic. Legitimate hypotheses can only test if a characteristic is equal to 0.
Answers
That doesn't qualify as a legitimate hypothesis since "x" is a sample statistic and "50" is a particular value.
The statement "x = 50" is not a legitimate hypothesis because legitimate hypotheses are statements that can be tested to determine if there is a significant difference between two or more groups or populations.
A legitimate hypothesis should concern a population characteristic, not a sample statistic, and should be stated in terms of inequalities, such as >, <, or ≠. Additionally, legitimate hypotheses can only test if a characteristic is equal to 1 or 0, depending on the context.
Therefore, since "x" is a sample statistic and "50" is a specific value, it does not meet the criteria of a legitimate hypothesis.
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Find the value.
X3+ X2 when x=-2
PLEASE HELP!!! ASAP!!!
Answers
Answer:
-4
Step-by-step explanation:
(-2)^2 + (-2)^3
this is right if the 2 and 3 are exponents
Answer:
-4
Step-by-step explanation:
Substitute the value of x:
-8+4 = -4
Plz mark me brainliest!!
Find the measure of the arc indicated. Assume that lines which appear tangent are tangent.
Answers
Answer:
Minor Arc AC = 360 - 235 = 125°
\(mABC = \frac{Major \ arc - Minor \ arc}{2} = \frac{235 - 125}{2} = \frac{110}{2} = 55\)
Let the long-run profit function for a representative firm is given by π i
=p 2
−2p−399, where p is the price of computer. The inverse market demand for computer is given by p=39−0.009q, where q is unit of computers. Suppose technology for producing computers is identical for all firms and all firms face identical input prices. (a) Find the firm's output supply function. (b) Find the market-equilibrium price and the equilibrium number of firms. (c) Find the number of computers sold by each firm in the long run.
Answers
(a) The firm's output supply function is given by q = (p + 199) / 2.
(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.
(c) Each firm sells 70 computers in the long run.
To find the firm's output supply function, we need to maximize the firm's profit function, which is given by π = p^2 - 2p - 399. In the long run, firms will produce where marginal cost equals marginal revenue. Marginal revenue can be obtained by differentiating the inverse market demand function with respect to q, and marginal cost is equal to the derivative of the profit function with respect to q. Equating the two, we get:(39 - 0.009q) = (2q - 2) / q
Simplifying the equation, we find:
q = (p + 199) / 2
This represents the firm's output supply function.
To find the market-equilibrium price and the equilibrium number of firms, we need to find the intersection point of the market demand and supply. Substituting the output supply function into the inverse market demand function, we have:p = 39 - 0.009((p + 199) / 2)
Simplifying and solving for p, we get:
p ≈ $32.56
Substituting this price back into the output supply function, we find:
q = (32.56 + 199) / 2 ≈ 115.78
Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:
Number of firms = q / 70 ≈ 10
Since each firm sells 70 computers in the long run, and there are 10 firms, the total number of computers sold by each firm is:70 * 10 = 700
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if ur mom had 1 pie and subtracted one (A im a mistake B im not C my mom left or D im dad came with the milk
Answers
Answer:
oof
Step-by-step explanation:
Answer:
ez. Its obvi D :)
Step-by-step explanation:
Ronda is flying her plane. She goes north for 40 miles and then heads west. She isn’t sure how far west she went, but after some distance she decides to fly the 60 miles directly back to the airport. How many miles west did she fly? Round your answer to the nearest tenth.
Answers
Answer:
20 miles
Step-by-step explanation:
hope this helps
Answer:
20
Step-by-step explanation:
60-40=20
Find the first 5 terms of each sum and compute S5.
Answers
The total of all S5 terms, the first five terms, and the two different types of mathematical advancement equal 105.5.
what is arithmetic progression ?An arithmetic progression whenever there is a steady difference amongst terms that follows to each other in a series. For instance, following new number 5, 7, 9, 11, 13, and 15 is an example of an exponential function with a limitation of two. A progress with a set tolerance among any two consecutive numbers generally referred to as a "arithmetic progression" (A.P.). Two types of mathematical progress are possible: series in arithmetic with a finite length A finite mathematical progression is a progression with a finite number of terms. The soon, late, allowance, and quantity of terms may all be calculated using the entries in the series.
given
The geometric sequence 8,12,18,27,81/2's
first five partial sums, S1,S2,S3,S4, and S5, must be found in order.
S1=8
S2=8+12=20
S3=8+12+18=38
S4=8+12+18+27=65
S5=8+12+18+27+81/2=105.5 as a result.
The total of all S5 terms, the first five terms, and the two different types of mathematical advancement equal 105.5.
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How do you create a unique array?
Answers
Minimum Increment operations to make Array unique
Minimum Increment operations to make Array unique.Making elements distinct in a sorted array by minimum increments.Find sum of non-repeating (distinct) elements in an array.Find k closest numbers in an unsorted array.Find k closest elements to a given value.What does the unique function do in Excel?The UNIQUE function will return an array, which will spill if it's the final result of a formula. This means that Excel will dynamically create the appropriate sized array range when you press ENTER .
How does ArrayList work?ArrayList is like an array behind the scenes as it’s backed by an array of type java.lang.Object in java.
Normally arrays are fixed in size which means the number of elements that can be added are fixed and cannot be increased once created. ArrayList can dynamically increase in size once the array that backs is full so, these way we won’t encounter runtime exceptions.
When we say list.get(0), it’s equivalent to array[0]. It can be said the ArrayList is a kind of more convenient way to use dynamic arrays.
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Quadrilateral ABCD is dilated at center (0.0) with scale factor 1/2 to form quadrilateral A’B’C’D’. What is the length of A’B’?
Answers
Answer:
Step-by-step explanation:
Hilda adds 5 to a number, then multiplies the sum by -2. The result is 6. What is the number?
Answers
Answer:
-8
Step-by-step explanation:
g(n)=-4n-4
h(n)=n² +5+n
Find (g • h)(n)
Answers
The equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
g(n) = -4n - 4
h(n) = n² +5+n
(g • h)(n) = g(n)h(n)
= (-4n - 4)(n² +5+n)
= -(4n + 4)(n² +5+n)
After simplification:
(g • h)(n) = -4n³ - 8n² - 24n - 20
Thus, the equation of the (g • h)(n) is (g • h)(n) = -4n³ - 8n² - 24n - 20 if the g(n)=-4n- 4 and h(n)=n² +5+n.
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they are 8,756 students that attend middle schools in the city of Johnson. Of the students, 3,252 are picked up by car, 2,549 ride the bus home, and 2,955 students walk home. How many students leave school by bus or car?
Answers
The number of students that leave by bus or car is given as follows:
5801 students.
How to obtain the union and intersection set of the two sets?The union and intersection sets of multiple sets are defined as follows:
The union set is composed by the elements that belong to at least one of the sets.The intersection set is composed by the elements that belong to at all the sets.The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.
Hence the number of students that leave by bus or car is given as follows:
3232 + 2549 = 5801 students.
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Isaiah is mowing lawns for a summer job for every mountain Charlie charges an initial fee of $10 plus $6 dollars for each additional hour
1. write an equation in slope intercept form
2. how much money does he make after working one job for four hours
Answers
Answer:
y = 6x + 10
Isaiah makes $34.00 after working for 4 hours.
Step-by-step explanation:
Slope intercept form is y=mx+b
In this situation the equation would look like so, x = amount of hours:
y = 6x + 10
To solve for how much Isaiah earns after 4 hours plug in 4 instead of x.
y = 6(4) + 10
y = 24 + 10
y = 34
Isaiah makes $34.00 after working for 4 hours.
Hope that helps and have a great day!
If a/2 = b/3, then b/a = ?
A. 3/2
B. 2/3
Answers
Federico makes 60% of the free throw shots he takes in basketball. Federico is fouled, and he is in a one-and-one shooting situation meaning that he only gets a second free throw shot if he makes his first one. Each free throw shot is worth one point. What is the probability that Federico scores one point in this situation?
Answers
Answer:
So the probability that Federico scores one point in this situation is 84%.
Step-by-step explanation:
The probability that Federico makes his first shot is 60%, so the probability that he misses it is 40%. If he misses his first shot, he doesn't get a second one, so the probability of scoring one point in this situation is the probability of making the first shot (60%) plus the probability of missing the first shot and making the second one (40% x 60%), which is:
0.60 + 0.24 = 0.84
So the probability that Federico scores one point in this situation is 84%.
what’s the value of x in the solution to this system of equitations:
3x + 4y =-3
x= -2y- 1
Answers
Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -3
x = -2y - 1
Step 2: Solve for y
Substitution
Substitute in x: 3(-2y - 1) + 4y = -3Distribute 3: -6y - 3 + 4y = -3Combine like terms: -2y - 3 = -3Isolate y term: -2y = 0Isolate y: y = 0Step 3: Solve for x
Define equation: x = -2y - 1Substitute in y: x = -2(0) - 1Multiply: x = 0 - 1Subtract: x = -1Lazy Gym charges a one-time registration fee of $30 plus $10 per fitness class. Get Abs Gym charges no registration fee but charges $15 per fitness class. For how many fitness classes does Get Abs Gym cost less than or the same as Lazy Gym?
Answers
Answer:
3
Step-by-step explanation:
Answer:
x \(\leq\) 6
Step-by-step explanation:
First, set up expressions to represent the costs of both gyms, where x is the number of fitness classes:
Lazy Gym can be represented by 10x + 30
Get Abs Gym can be represented by 15x
Then, create an inequality equation to represent the situation. Since we are trying to find when Get Abs Gym is cheaper than or equal to Lazy Gym, we will use a less than or equal to sign:
15x \(\leq\) 10x + 30
Then, solve for x:
15x \(\leq\) 10x + 30
5x \(\leq\) 30
x \(\leq\) 6
So, at 6 fitness classes, the prices will be the same. For more than 6 fitness classes, Get Abs Gym will be cheaper than Lazy Gym.
Consider the linear system az + 2y + = 4
x-2y+2x=2a
ax+3y+z=2
For what value(s) of a the system has no solution? a) -1 b) - 1/2 c) 1/2 d) R - (1)
Answers
To solve for x algebraically with the given domain, we need to follow the steps below. 4sin²x - 1 = 0, 0 ≤ x < 2π. 5) 2sin²x + 5sinx = 3, 0 ≤ x.
For the equation 4sin²x - 1 = 0, we first isolate the sine term by adding 1 to both sides: 4sin²x = 1.
Divide both sides by 4 to get sin²x = 1/4.
Take the square root of both sides to obtain sinx = ±√(1/4).
Simplify the right side to sinx = ±1/2.
The possible values for sinx are 1/2 and -1/2. We need to find the corresponding values of x within the given domain 0 ≤ x < 2π.
For sinx = 1/2, we can use the inverse sine function to find the principal value, which is π/6. The other possible value in the given domain is 5π/6.
For sinx = -1/2, the principal value is 5π/6, and the other possible value within the given domain is 7π/6.
So, the solutions for 4sin²x - 1 = 0 in the given domain are x = π/6, 5π/6, 5π/6, and 7π/6.
For the equation 2sin²x + 5sinx = 3, we first rearrange it to the quadratic form: 2sin²x + 5sinx - 3 = 0.
To solve this quadratic equation, we can factor it: (2sinx - 1)(sinx + 3) = 0.
Set each factor equal to zero and solve them separately.
For 2sinx - 1 = 0, add 1 and divide by 2 to get sinx = 1/2.
The principal value of sinx = 1/2 is π/6, and the other possible value within the given domain is 5π/6.
For sinx + 3 = 0, subtract 3 to get sinx = -3.
However, sinx cannot be greater than 1 or less than -1, so there are no solutions for sinx = -3 within the given domain.
Therefore, the solutions for 2sin²x + 5sinx = 3 in the given domain are x = π/6 and 5π/6.
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Use the intercept to sketch the graph of the function: y= -1/2x+2
Answers
To find the y-intercept of the function, set x=0 and solve for y, as shown below
\(\begin{gathered} x=0 \\ \Rightarrow y=-\frac{1}{2}*0+2=2 \\ \Rightarrow(0,2) \end{gathered}\)On the other hand, to find the x-intercept set y=0 and solve for x,
\(\begin{gathered} y=0 \\ \Rightarrow0=-\frac{1}{2}x+2 \\ \Rightarrow-2=-\frac{1}{2}x \\ \Rightarrow x=4 \\ \Rightarrow(4,0) \end{gathered}\)Draw points (0,2), and (4,0) on the plane and cross them using a straight line as in the image below
Perform the indicated row operations:
-10r2 r2 3r3
[2 -1 -4|7] [0 3 -2|5] [0 10 8|2]
![Perform the indicated row operations:-10r2 r2 3r3 [2 -1 -4|7] [0 3 -2|5] [0 10 8|2]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bPnQ5gPWZD6wWA9sZ8yOS0KRcSC1iV47.png)
Answers
Answer:
Second one is -30, 20, -50
Third one is 30, 24, 6
Step-by-step explanation:
Answer:
-30,20,-50
30,24,6
R2+R3-R3
0,44,-44
Step-by-step explanation:
i just did it thats the answers to all of the question after the first question too
The area of a wetland drops by a sixth every five years.
What percent of its total area disappears after twenty years?
Round your answer to two decimal places.
Answers
After 20 years, the wetland will have decreased in area by 20/5 = 4 times.
If the area has decreased by a sixth every 5 years, it will decrease by 4/6 = 2/3 after 20 years.
Therefore, the percent of the total area that disappears after 20 years is 2/3 = 66.67%.
Rounding to two decimal places, the answer is 66.67%.
help me please im not sure how to do this problem
Answers
Answer:
If a tangent segment and a secant segment intersect outside a circle, then the square of the measure of the tangent segment equals the product of the measures of the secant segment and its external portion.
42^2 = (18 + x)(18)
1,764 = 18(x + 18)
x + 18 = 98
x = 80
So the diameter of the reservoir is 80 meters.
The diameter of the reservoir shown above can be calculated based on the intersecting secant-tangent theorem as: 80 meters.
What is a Diameter?A diameter is a straight line segment that crosses the center of a circle thereby connecting two points on its circumference and it is twice the length of the radius of a circle.
To find the diameter (x), apply the intersecting secant-tangent theorem which states that:
AB² = AC(x + CA)
Substitute:
42² = 18(x + 18)
1,764 = 18x + 324
1,764 - 324 = 18x
1,440 = 18x
1,440/18 = x
x = 80 meters.
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What is the frequency of the function f(x)? f(x)=14cos(2x)+5
Answers
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
We need to find the frequency of given function;
f(x)=1/4 cos(2x)+5
To finding the period and then use the general relation frequency
frequency = 1/period
In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.
As we know that 2π is the period of cosx then the period of cos(2x) is
2x=2π
x=π
So, the period of cos(2x) is π
Now the frequency is F=1/π&
what is the equation of the line that passes through the point negative -5, 7 and has a slope of -2/5
Answers
Answer: The equation of the line that passes through the point negative -5, 7 and has a slope of -2/5 is y = -0.4x + 5.
E) Find the area of a rectangular field measuring 27.04 m by 20.21 m.
i) How much would it cost to spray insecticide on the field if the rate is $0.70 per square metre? Give your answer to the nearest dollar.
Answers
27.04 x 20.21
=546.48
546.48 divided by 0.70 =
$780.68
(50 points if right) Factor the expression.
36a + 42b - 18a + 6
Answers
ANSWER
The answer is 6(3a+7b+1)
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mary receives $100 for her birthday. her grandma told her she can only spend half of the money each day. if she obeys her grandma on what day would she have spent the last of the money
Answers
Half of 50 is
The pattern :
100, 50, 25, 12.5, 6.25, 3.12, 1.56, 0.78, 0.39, 0.19, 0.9, 0.45. 0.22, 0.11, 0.5, 0.25, 0.12, 0.06, 0.03, 0.01
This is basically as far as it goes I had to round some of the numbers. But since there are 20 terms the number of days is 20
20 days
What is the product of 4 1/5 * 5 3/7?
Answers
Answer:
Simplify the expression.
Exact Form:
114
5
Decimal Form:
22.8
Mixed Number Form:
22
4
5
Step-by-step explanation: