what is the period of y= -2sin (2/3 x -4)
Answers
The period of y = -2sin (2/3 x -4) is 3π. These three-digit groups are called periods. 893,450,243, for instance, has three periods with three digits each, as is demonstrated below.
What is the period like to find?The distance between two recurring points on a graph function is known as a period. A is the symbol for amplitude. The distance is measured from the middle point on the graph function to either the highest or lowest point. A comma is used to divide numerals into groups of three, which is referred to as the standard form of a number. Periods are these collections of three digits. As shown below, 893,450,243, for instance, has three periods, each with three numbers.One complete pattern at a time is referred to as a cycle, and the period over which a cycle takes place is referred to as a cycle's duration.length of
\($\sin \left(\frac{2 x}{3}\right) \rightarrow \frac{(3)(2 \pi)}{2}=3 \pi$\)
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Related Questions
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=880(1. 958)^xy=880(1. 958)x
Answers
The change represents growth and percentage rate of increase is 95.8%.
The exponential function y = 880(1.958)^x is a function that models growth.
The base of the exponential function, 1.958, is greater than 1. This means that the function is increasing with respect to x, which is the independent variable.
For every unit increase in x, the function increases by a factor of 1.958. This is evident from the fact that 1.958 is raised to the power of x.
The percentage rate of increase is calculated by taking the difference between the base of the exponential function and 1, and then multiplying that difference by 100%.
In this case, the base of the exponential function is 1.958, so the percentage rate of increase is
(1.958- 1)*100 = 95.8%.
This means that for every unit increase in x, the value of y increases by 95.8% of its previous value.
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calculate the margin of eorror needed to create a 90ondience interval for the mean in each situation
Answers
To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to consider the standard deviation, sample size, and the desired confidence level.
The formula to calculate the margin of error is:
Margin of Error = Critical Value * (Standard Deviation / √(Sample Size))
The critical value corresponds to the desired confidence level and is obtained from the standard normal distribution or t-distribution based on the sample size and whether the population standard deviation is known or unknown.
If the population standard deviation (σ) is known, we use the standard normal distribution and the critical value is obtained from the Z-table for the desired confidence level.
If the population standard deviation (σ) is unknown, we use the t-distribution and the critical value is obtained from the t-table for the desired confidence level and degrees of freedom (sample size minus one).
Once we have the critical value, standard deviation, and sample size, we can calculate the margin of error using the formula mentioned above.
Note: Since you haven't provided specific data or the sample size, I cannot calculate the exact margin of error. However, with the appropriate values, you can follow the steps outlined above to determine the margin of error for a 90% confidence interval for the mean.
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To calculate the margin of error needed to create a 90% confidence interval for the mean, we need to know the sample size (n), the standard deviation (σ), and the critical value corresponding to a 90% confidence level.
The formula for the margin of error is given by:
Margin of Error = Critical Value * Standard Error
The critical value for a 90% confidence level depends on the distribution of the sample. If we assume a normal distribution, the critical value is approximately 1.645.
The standard error is calculated as the standard deviation divided by the square root of the sample size:
Standard Error = σ / √n
By substituting the appropriate values into the formula, we can calculate the margin of error. However, without specific values for the sample size and standard deviation, it is not possible to provide the exact margin of error.
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Solve for the unknown measure of this equation in degrees.
< X in 15^(2) = 13^(2) + 10^(2) -2(13)(10) cos X
Also a question down below.
Answers
Answer:
12
Step-by-step explanation:
Well they are similar I assume so 5 / 3.5 = roughly 1.43 and 8.4 x this number gives you 12 so I would say 12
answer this question
will give brainliest
Which of the following is the name for a substance made of two or more types of atoms that are not chemically bonded together? (2 points)
Compound
Mixture
Solute
Molecule
(who wants to talk and whatever)
Answers
Answer:
the correct answer i think is mixture
Step-by-step explanation:
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answers
Answer:
6
Step-by-step explanation:
In quadrilateral ABCD, triangle ADC is congruent to CBA. Show
that ABCD is a parallelogram.
Answers
It took Melanie ⅓ of an hour to ride her bike 2¾ of a mile. How many miles per hour can Melanie ride her bike?
Answers
Answer:
8.25 or 8 \(\frac{1}{4} \\\)
Step-by-step explanation:
An imaginary cubical surface of side L has its edges parallel to the x-, y - and z-axes, one corner at the point x=0,y=0,z=0 and the opposite corner at the point x=L,y=L,z=L. The cube is in a region of uniform electric field
E
=E
1
i
^
+E
2
j
^
, where E
1
and E
2
are positive constants. Calculate the electric flux through the cube face in the plane x=0 and the cube face in the plane x=L. For each face the normal points out of the cube. Express your answers in terms of some or all of the variables E
1
,E
2
, and L separated by a comma. Part B Calculate the electric flux through the cube face in the plane y=0 and the cube face in the plane y=L. For each face the normal points out of the cube. Express your answers in terms of some or all of the variables E
1
,E
2
, and L separated by a comma.
Answers
Electric flux through the x = 0 face: E1, Electric flux through the x = L face: E2, Electric flux through the y = 0 face: E1 and Electric flux through the y = L face: E2.
To calculate the electric flux through the cube face in the plane x = 0, we need to determine the dot product of the electric field vector and the normal vector of the face.
For the face in the plane x = 0, the normal vector points in the positive x-direction, which is given by the unit vector i. Therefore, the dot product can be calculated as:
Electric flux through the x = 0 face = E1 * i · i = E1 * 1 = E1
Similarly, to calculate the electric flux through the cube face in the plane x = L, we need to calculate the dot product of the electric field vector and the normal vector of the face.
For the face in the plane x = L, the normal vector also points in the positive x-direction (i^). Therefore, the dot product can be calculated as:
Electric flux through the x = L face = E2 * i · i = E2 * 1 = E2
So the electric flux through the cube face in the plane x = 0 is E1, and the electric flux through the cube face in the plane x = L is E2.
Moving on to Part B, to calculate the electric flux through the cube face in the plane y = 0, we need to determine the dot product of the electric field vector and the normal vector of the face.
For the face in the plane y = 0, the normal vector points in the positive y-direction, which is given by the unit vector j. Therefore, the dot product can be calculated as:
Electric flux through the y = 0 face = E1 * j · j = E1 * 1 = E1
Similarly, to calculate the electric flux through the cube face in the plane y = L, we need to calculate the dot product of the electric field vector and the normal vector of the face.
For the face in the plane y = L, the normal vector also points in the positive y-direction (j). Therefore, the dot product can be calculated as:
Electric flux through the y = L face = E2 * j · j = E2 * 1 = E2
So the electric flux through the cube face in the plane y = 0 is E1, and the electric flux through the cube face in the plane y = L is E2.
In summary:
Electric flux through the x = 0 face: E1
Electric flux through the x = L face: E2
Electric flux through the y = 0 face: E1
Electric flux through the y = L face: E2
The expressions for the electric flux in terms of E1, E2, and L are E1, E2, E1, E2 respectively.
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Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).
Answers
The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and 0.118 for men who asked for promotion and received.under the condition that from the men interviewed 20% had asked for a promotion and 59% of the men who had asked for a promotion and received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20
P(man received promotion, given he asked for one)
= 59/100
= 0.59
P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.
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5/8 times by 1/12
What is the answer in its simplest form?
Answers
Answer: 5/96
Step-by-step explanation:
how many pints in a cup
Answers
Answer:
1 cup = 1/2 pint
Step-by-step explanation:
The table shows the estimated and actual sales in dollars for four salespeople for a week. The percent error of an estimate is the
difference between the estimate and the actual value, as a percentage of the actual value.
Salesperson Estimated Sales for the Week Actual Sales for the Week
Hector
$625
$525
Ben
$310
$380
Deanne
Answers
Using the percent error concept, it is found that:
Hector, Deanne and Samantha had errors of less than 20%.Ben had a error of more than 20%.What is the percent error?The percent error of an amount is the absolute value of the difference between the actual amount and the expected amount, multiplied by 100% and divided by the expected amount.Hence, the percent error of each person is given by:
\(P_{H} = \frac{|525 - 625|}{625} \times 100\% = 16\%\)
\(P_{B} = \frac{|380 - 310|}{310} \times 100\% = 22.58\%\)
\(P_{D} = \frac{|700 - 775|}{775} \times 100\% = 9.68\%\)
\(P_{S} = \frac{|205 - 250|}{250} \times 100\% = 18\%\)
Hence:
Hector, Deanne and Samantha had errors of less than 20%.Ben had a error of more than 20%.You can learn more about the percent error concept at https://brainly.com/question/25224978
Trying to solve this problem but I can’t
Answers
Answer:
option c I think as the correct answer.
Step-by-step explanation:
hope this helps you.
I hope you find this helpful
Help pls and explain!!
Answers
Answer: 15 minutes
Step-by-step explanation:
Answer:
15 minutes is your answers
whats the midpoint of (2,2) and (10,10)
Answers
Answer:
Midpoint=(6,−354)
Step-by-step explanation:
I solved this using the MidPoint Calculator:) Im a 7th grader.
according to your text, which of the following is the primary source of primate endangerment today? habitat destruction human diseases social stress and dislocation use of primates for pets
Answers
Based on the text, the primary source of primate endangerment today is habitat destruction.
Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.
Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.
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Please explain how you got the answer TYSM
Answers
By taking the quotients between the legs of the triangles, we will see that the pair that has hypotenuses with equal slopes are triangles 1 and 4.
Which two triangles have hypotenuses with equal slopes?
Any two triangles where the quotient between the lenghts of the two legs are equal, have hypotenuses with equal slopes.
Here we will take the quotients between the heights and the bases of the triangles.
For triangle 1 the quotient is:
q₁ = 4/2 = 2
For triangle 2 the quotient is:
q₂ = 6/6 = 1
For triangle 3 the quotient is:
q₃ = 3/6 = 1/2
For triangle 4 the quotient is:
q₄ = 8/4 = 2
So we can see that the two triangles where the slopes of the hypotenuses are equal are triangles 1 and 4.
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What is the length of segment AB?
Answers
Answer: A
Step-by-step explanation:
\(7=\frac{6+AB}{2}\\14=6+AB\\AB=\boxed{8}\)
finding roots from graph whats the answer?
Answers
Answer:
x=0, x=2, x=7
Step-by-step explanation:
The roots of graph are points with y = 0
Evaluate
7
2
÷
2
4
⋅
4
6
Answers
Answer:
Step-by-step explanation:
so do 72÷24= 3 then do x 46= 138
the difference between 40.33% and 24.07%, percentage-wise?
Answers
40.33-24.07= 16.26
Let X and Y be discrete random variables with joint probability function f(x, y) = (1/54)(x + 1)(y + 2) for x = 0, 1, 2; y = 0, 1, 2. What is E[Y| X = 1]?
A. (y+2)/9
B. (y2+ 2y)/9
C. 11/27
D. 1E.11/9
Answers
X and Y be discrete random variables with joint probability function is answer is (D) 11/9.
To find E[Y| X = 1], we need to use the conditional expectation formula:
E[Y| X = 1] = Σy y P(Y = y| X = 1)
Using the joint probability function, we can find P(Y = y| X = 1):
P(Y = y| X = 1) = f(1, y) / Σy f(1, y)
P(Y = y| X = 1) = ((1/54)(1 + 1)(y + 2)) / ((1/54)(1 + 1)(0 + 2) + (1/54)(1 + 1)(1 + 2) + (1/54)(1 + 1)(2 + 2))
P(Y = y| X = 1) = (y + 2) / 9
Substituting this into the formula for \(E[Y| X = 1],\) we get:
E[Y| X = 1] = Σy y P(Y = y| X = 1)
E[Y| X = 1] = (0)(1/9) + (1)(3/9) + (2)(5/9)
E[Y| X = 1] = 11/9
Therefore, the answer is (D) 11/9.
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find the angles marked with a letter
Answers
Answer:
Step-by-step explanation:
O;B
what is the slope of the line through (-9,6), (-3,9)
Answers
(9-6)/(-3+9)
= 3/6
=1/2
in a class of 40 students, 20 have examination scores below 77% and 20 have scores above 77%. which measure(s) of central tendency can you immediately determine?
Answers
Observing the information provided and using concept of central tendency parameters of statistics, The central tendency which we can immediately determine is median.
What is statistics?A field of mathematics that deals with gathering, analyzing, interpreting, and presenting vast amounts of numerical data.
What do you mean by measure of central tendency?The statistical test that determines whether a single result accurately represents a whole distribution is known as measure of central tendency.
total students = 40.
half = 20 students.
20 have scores below 77% and 20 have above 77%.
Thus, We can immediately determine that the median of score is 77%.
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Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
Answers
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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A blueprint for a cottage has a scale of 1:40. One room measures 3.4 m by 4.8 m.
Calculate the dimensions of the room on the blueprint.
can you teach me how to solve it?
Answers
Sure, here are the steps to solve this problem:
1. Since the scale of the blueprint is 1:40, it means that any 1 unit on the blueprint represents 40 units on the actual building.
2. The room on the building measures 3.4 m by 4.8 m.
3. So for the dimensions of the room on the blueprint, we divide the measurements by the scale ratio.
4. 1:40 scale means 1 unit = 40 units.
5. So,
3.4 m / 40 units = 0.085 units = 0.08 units (round to 0.08 units)
4.8 m / 40 units = 0.12 units
6. Therefore, the room on the blueprint measures 0.08 units by 0.12 units.
Let me know if this explanation helps or if you have any other questions! I'm happy to help further.
step-by-step:
Room dimensions on building: 3.4 m by 4.8 m
Scale of blueprint: 1 : 40
Step 1) 1 unit on blueprint = 40 units on building
Step 2) 3.4 m / 40 units = 0.085 units (round to 0.08 units)
Step 3) 4.8 m / 40 units = 0.12 units
Step 4) Room dimensions on blueprint = 0.08 units by 0.12 units
Does this help explain the steps? Let me know if any part is still confusing!
Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy 777 of them it will only cost you \$2.80$2.80dollar sign, 2, point, 80!Write an equation to determine the normal price of each cookie
Answers
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
$ 1.15
Step-by-step explanation:
7(c-0.75) = 2.80 is the equation
$1.15 is the total for C
I did this khan before and this is correct
Hope this helps!
;)
In the triangles below, Angle AOI is congruent to Angle IEA. Find each missing measure.
Answers
The values of the variables and the measures of the angles, found using the congruency of ΔAOI and ΔIEA are;
w = 2 \({}\) ∠EAI = 45°
x = 4 \({}\) ∠AOI = 128°
y = 7 \({}\) ∠OIA = 45°
z = 20 \({}\) ∠IEA = 128°
What are congruent triangles?Two triangles are congruent if two angles and a non included side of one triangle are congruent to two angles and a non included side of another triangle.
The relationship between the triangles ΔAOI and ΔIEA is ΔAOI ≅ ΔIEA
Therefore; ∠IEA is congruent to ∠AOI, by Corresponding Parts of Congruent Triangles are Congruent, CPCTC
∠IEA ≅ ∠AOI
Therefore; ∠IEA = ∠AOI by the definition of congruency
(6·z + 8)° = (7·z - 12)°
7·z - 6·z = (8 + 12)° = 20°
z = 20°
∠AOI = (7·z - 12)°
Therefore;
∠AOI = (7 × 20 - 12)° = 128°
∠IEA = 128°
Similarly; AO ≅ EI by CPCTC
AO = EI definition of congruency
5·w - 6 = 2·w
5·w - 2·w = 6
3·w = 6
w = 6 ÷ 3 = 2
w = 2
∠OIA ≅ ∠EAI by CPCTC
Therefore; ∠OIA = ∠EAI definition of congruency
(7·x + 17)° = 3·(4·x - 1)° substitution property
(7·x + 17)° = 3·(4·x - 1)° = (12·x - 3)°
12·x - 7·x = 17° + 3° = 20°
5·x = 20°
x = 20° ÷ 5 = 4°
x = 4°
∠EAI = 3·(4·x - 1)°
∠OIA = (7·x + 17)°
Therefore;
∠EAI = 3·(4×4 - 1)° = 45°
∠OIA = (7×4 + 17)° = 45°
y° + (7·z - 12)° + 3·(4·x - 1)° = 180° (angle sum property of a triangle)
∠AOI = (7·z - 12)° = 128°
∠EAI = 3·(4·x - 1)° = 45°
Therefore;
y° + 128° + 45° = 180°
y° = 180° - (128° + 45°) = 7°
y° = 7°
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A particular car is advertised as being able to accelerate at a rate of 4.6 m/s
2
. If this car starts from rest, how long will it take it to reach 27 m/s ? How far would the car travel in this time?
Answers
The car will take approximately 5.87 seconds to reach a velocity of 27 m/s. During this time, it will travel approximately 81.53 meters.
To determine the time it takes for the car to reach a velocity of 27 m/s and the distance it travels during that time, we can use the equations of motion. Assuming the car starts from rest, we can use the following equations:
1. v = u + at
2. s = ut + (1/2)at^2
where:
v = final velocity (27 m/s)
u = initial velocity (0 m/s, since the car starts from rest)
a = acceleration (4.6 m/s^2)
t = time taken
s = distance traveled
First, let's calculate the time it takes for the car to reach a velocity of 27 m/s using Equation 1:
27 = 0 + 4.6t
Simplifying the equation, we have:
4.6t = 27
Dividing both sides by 4.6, we find:
t = 27 / 4.6
t ≈ 5.87 seconds
Therefore, it will take approximately 5.87 seconds for the car to reach a velocity of 27 m/s.
Next, let's calculate the distance traveled by the car during this time using Equation 2:
s = (0)(5.87) + (1/2)(4.6)(5.87)^2
Simplifying the equation, we have:
s = (1/2)(4.6)(5.87)^2
s ≈ 81.53 meters
Therefore, the car would travel approximately 81.53 meters during the time it takes to reach a velocity of 27 m/s.
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